summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
authorJaron Kent-Dobias <jaron@kent-dobias.com>2023-06-09 16:34:48 +0200
committerJaron Kent-Dobias <jaron@kent-dobias.com>2023-06-09 16:34:48 +0200
commit7671ec1a60f13693287c594a620a099d09c0c463 (patch)
tree3bb828e5762de5c881fa5b089017c61837567d19
parent5e5b89fbab8298249d55b2d6413a8f501e0dbae2 (diff)
downloadSciPostPhys_16_001-7671ec1a60f13693287c594a620a099d09c0c463.tar.gz
SciPostPhys_16_001-7671ec1a60f13693287c594a620a099d09c0c463.tar.bz2
SciPostPhys_16_001-7671ec1a60f13693287c594a620a099d09c0c463.zip
Some changes.
Diffstat
-rw-r--r--2-point.bib22
-rw-r--r--2-point.tex64
-rw-r--r--figures.nb6983
3 files changed, 5437 insertions, 1632 deletions
diff --git a/2-point.bib b/2-point.bib
index 3d5e2b9..374d5dc 100644
--- a/2-point.bib
+++ b/2-point.bib
@@ -206,18 +206,18 @@
url = {https://projecteuclid.org:443/euclid.bams/1183505112}
}
-@unpublished{Kent-Dobias_2022_How,
+@article{Kent-Dobias_2023_How,
author = {Kent-Dobias, Jaron and Kurchan, Jorge},
- title = {How to count in hierarchical landscapes: a `full' solution to mean-field complexity},
- year = {2022},
- month = {7},
- url = {http://arxiv.org/abs/2207.06161v2},
- archiveprefix = {arXiv},
- date = {2022-07-13T12:45:58Z},
- eprint = {2207.06161v2},
- eprintclass = {cond-mat.stat-mech},
- eprinttype = {arxiv},
- primaryclass = {cond-mat.stat-mech}
+ title = {How to count in hierarchical landscapes: a full solution to mean-field complexity},
+ journal = {Physical Review E},
+ publisher = {American Physical Society (APS)},
+ year = {2023},
+ month = {6},
+ number = {6},
+ volume = {107},
+ pages = {064111},
+ url = {https://doi.org/10.1103/PhysRevE.107.064111},
+ doi = {10.1103/PhysRevE.107.064111}
}
@article{Kurchan_1996_Phase,
diff --git a/2-point.tex b/2-point.tex
index bdcc8c8..bb7128a 100644
--- a/2-point.tex
+++ b/2-point.tex
@@ -375,7 +375,7 @@ energy.
\begin{itemize}
\item \textbf{Energies below the threshold.} Marginal states have a
macroscopic gap in their overlap with nearby minima and saddles. The
- nearest stationary points are barriers with a single downward direction,
+ nearest stationary points are saddles with a single downward direction,
and always have a higher energy density than the reference state.
\item \textbf{Energies above the threshold.} Marginal states have neighboring
@@ -386,9 +386,9 @@ energy.
\item \textbf{At the threshold energy.} Marginal states have neighboring
stationary points at arbitrarily close distance, with a cubic pseudogap
- in their complexity. The nearest ones are saddle points with an extensive
- number of downward directions, save for a single downward direction, and
- can be found at the same energy density as the reference state.
+ in their complexity. The nearest ones are oriented saddle points with an
+ extensive number of downward directions and can be found at the same energy
+ density as the reference state.
\end{itemize}
This leads us to some general conclusions. First, at all energy densities
@@ -446,7 +446,7 @@ initial condition will never change from one.
overlap gap widens their population becomes model-dependent.
\textbf{Right:} The range of energies at which \emph{other} marginal states
are found. Here, the more darkly shaded regions denote where an isolated
- eigenvalue appears. Marginal states belo the threshold are always
+ eigenvalue appears. Marginal states below the threshold are always
separated by a gap in their overlap.
} \label{fig:marginal.prop.above}
\end{figure}
@@ -457,7 +457,16 @@ initial condition will never change from one.
\includegraphics{figs/nearest_marginal_thres.pdf}
\caption{
- The neighborhood of marginal states at the threshold energy $E_0=E_\mathrm{th}$.
+ The neighborhood of marginal minima at the threshold energy
+ $E_0=E_\mathrm{th}$. In all plots, the dashed lines show the population of
+ most common neighbors at the given overlap $q$.
+ \textbf{Left:} The range of energies $E_1$ at which nearby points are
+ found. The approach of both the minimum and maximum energies goes like
+ $(1-q)^3$. \textbf{Center:} The range of stabilities $\mu_1$ at which nearby
+ points are found. The approach of both limits goes like $(1-q)^2$.
+ \textbf{Right:} The range of nearby marginal minima. The more darkly shaded
+ region denotes where an isolated eigenvalue appears. Marginal minima at the
+ threshold lie asymptotically close together.
} \label{fig:marginal.prop.thres}
\end{figure}
@@ -480,44 +489,6 @@ spherical models, where \cite{Folena_2020_Rethinking} has shown aging dynamics
asymptotically approaching marginal states that we have shown have $O(N)$
saddles separating them, this lesson must be taken all the more seriously.
-There is one feature of marginal minima under the threshold energy worthy of
-special note, perhaps relevant to the problems of the asymptotic dynamics
-opened by \cite{Folena_2020_Rethinking}. Fig.~\ref{fig:dom.marg.below} shows
-the energy of the most common set of marginal minima at overlap $q$ from a
-reference marginal minimum of varying energy $E_0$. The figure also indicates
-where an isolated eigenvalue exists or does not. Since the spectrum is marginal
-for the neighboring states in question, any isolated eigenvalue would transform
-them into index-one saddles. At some energy
-$E_0=E_\textrm{cross}=-1.699\,619\,496\ldots$, the dominant points at the
-threshold energy transition from being oriented index-one saddles into marginal
-minima.
-
-\begin{figure}
- \centering
- \includegraphics{figs/dom_marg_below.pdf}
-
- \caption{
- The energy $E_1$ of the most common set of marginal states at overlap $q$
- with a marginal reference state with energy $E_0$. The lines are solid when
- the constrained states are marginal \emph{minima}, and dashed when they are
- saddles with an isolated eigenvalue. There is some energy of the reference
- state $E_0=E_\text{cross}=-1.699\,619\,496\ldots$ where this transition
- crosses the threshold energy.
- } \label{fig:dom.marg.below}
-\end{figure}
-
-The difference between this crossing energy and the state following energy
-estimated in \cite{Folena_2020_Rethinking} is about $0.0002$, within the
-uncertainties reported in that work. Why should this point be relevant to the onset of state following dynamics? Consider the implications of what we have said about the marginal manifold, which only exists as a continuum of $o(N)$ barriers exactly at the threshold energy. Perhaps some interaction with or above this manifold is necessary for the emergence of aging dynamics, and once equilibrated below it exponential convergence to the inherent state is inevitable. From this reasoning, $E_\mathrm{cross}$ is the highest energy of marginal minima below the threshold such that
-
-The construction in that paper is not
-compatible with an interpretation of the state following temperature we have
-given. For instance, the value of $q_{12}\equiv q$ reported in that work is
-quite different from the $q=0.729\,981\,886\ldots$ that characterizes these
-states. To assess this shaky conjecture, study of the dynamics in other mixed
-spherical models would be most helpful, so as to compare with their
-complexities.
-
\section{Complexity}
\label{sec:complexity}
@@ -1605,10 +1576,13 @@ marginal minima nearby. For the many marginal minima away from the threshold
(including the exponential majority), there is a gap in overlap between them.
The methods developed in this paper are straightforwardly (if not easily)
-generalized to landscapes with replica symmetry broken complexities \cite{Kent-Dobias_2022_How}.
+generalized to landscapes with replica symmetry broken complexities \cite{Kent-Dobias_2023_How}.
\paragraph{Acknowledgements}
+The author would like to thank Valentina Ros, Giampaolo Folena, and Chiara
+Cammarota for useful discussions related to this work.
+
\paragraph{Funding information}
\printbibliography
diff --git a/figures.nb b/figures.nb
index b22ca2f..4031e76 100644
--- a/figures.nb
+++ b/figures.nb
@@ -10,10 +10,10 @@
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
-NotebookDataLength[ 116264165, 2280811]
-NotebookOptionsPosition[ 116180285, 2279658]
-NotebookOutlinePosition[ 116180683, 2279674]
-CellTagsIndexPosition[ 116180640, 2279671]
+NotebookDataLength[ 116498416, 2284642]
+NotebookOptionsPosition[ 116415237, 2283494]
+NotebookOutlinePosition[ 116415635, 2283510]
+CellTagsIndexPosition[ 116415592, 2283507]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
@@ -1750558,943 +1750558,2113 @@ Cell[BoxData[
RowBox[{"{",
RowBox[{
RowBox[{"1", "-", "q"}], ",",
- RowBox[{
- RowBox[{
- RowBox[{"\[ScriptCapitalD]", "[", "f", "]"}], "[", "\[Mu]1", "]"}],
- "+",
- RowBox[{
- RowBox[{
- RowBox[{"\[ScriptCapitalS]12", "[", "f", "]"}], "[",
- RowBox[{"E0", ",", "\[Mu]0", ",", "E1", ",", "\[Mu]1", ",", "q"}],
- "]"}], "[",
- RowBox[{
- "\[Beta]1", ",", "r11d", ",", "r110", ",", "r01", ",", "r10", ",",
- "q0"}], "]"}]}]}], "}"}], "/.", "testDo"}], "]"}], ",",
+ RowBox[{"Abs", "[",
+ RowBox[{"\[Mu]0", "-", "\[Mu]1"}], "]"}]}], "}"}], "/.",
+ "testMinStabMargeThres"}], "]"}], ",",
RowBox[{"LogLogPlot", "[",
RowBox[{
- SuperscriptBox["x", "3"], ",",
+ SuperscriptBox["x", "2"], ",",
RowBox[{"{",
RowBox[{"x", ",", "0.0001", ",", "10"}], "}"}]}], "]"}]}],
"]"}]], "Input",
CellChangeTimes->{{3.89530309198562*^9, 3.8953031175132504`*^9}, {
- 3.895306155237598*^9,
- 3.8953061985657682`*^9}},ExpressionUUID->"a49628a1-ec9e-4e01-9e67-\
-fe74f327bc06"],
-
-Cell[BoxData[
- TemplateBox[{
- "ReplaceAll", "reps",
- "\"\\!\\(\\*RowBox[{\\\"{\\\", \\\"testDomMarge\\\", \\\"}\\\"}]\\) is \
-neither a list of replacement rules nor a valid dispatch table, and so cannot \
-be used for replacing.\"", 2, 361, 245, 31990234172837399613, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8953061835895147`*^9, 3.895306186979558*^9}},
- CellLabel->
- "During evaluation of \
-In[361]:=",ExpressionUUID->"f3770493-a82f-47d6-827c-587f67765863"],
-
-Cell[BoxData[
- TemplateBox[{
- "ReplaceAll", "reps",
- "\"\\!\\(\\*RowBox[{\\\"{\\\", \\\"testDomMarge\\\", \\\"}\\\"}]\\) is \
-neither a list of replacement rules nor a valid dispatch table, and so cannot \
-be used for replacing.\"", 2, 361, 246, 31990234172837399613, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8953061835895147`*^9, 3.895306187030753*^9}},
- CellLabel->
- "During evaluation of \
-In[361]:=",ExpressionUUID->"9a28fe50-b3a1-4ac7-8fa5-736eabc501fb"],
-
-Cell[BoxData[
- TemplateBox[{
- "ReplaceAll", "reps",
- "\"\\!\\(\\*RowBox[{\\\"{\\\", \\\"testDomMarge\\\", \\\"}\\\"}]\\) is \
-neither a list of replacement rules nor a valid dispatch table, and so cannot \
-be used for replacing.\"", 2, 361, 247, 31990234172837399613, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8953061835895147`*^9, 3.895306187039236*^9}},
- CellLabel->
- "During evaluation of \
-In[361]:=",ExpressionUUID->"b5e1c1df-58bb-4816-9bbc-65579e27b592"],
-
-Cell[BoxData[
- TemplateBox[{
- "General", "stop",
- "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"ReplaceAll\\\", \
-\\\"::\\\", \\\"reps\\\"}], \\\"MessageName\\\"]\\) will be suppressed during \
-this calculation.\"", 2, 361, 248, 31990234172837399613, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8953061835895147`*^9, 3.8953061870477667`*^9}},
- CellLabel->
- "During evaluation of \
-In[361]:=",ExpressionUUID->"041c1a7f-f392-4c5d-a735-0ee9c64d7d01"],
-
-Cell[BoxData[
- TemplateBox[{
- "ListLogLogPlot", "lpn",
- "\"\\!\\(\\*RowBox[{RowBox[{\\\"{\\\", \
-RowBox[{RowBox[{RowBox[{\\\"1.`\\\", \\\"\[VeryThinSpace]\\\"}], \\\"-\\\", \
-RowBox[{\\\"1.`\\\", \\\" \\\", \\\"q\\\"}]}], \\\",\\\", \
-RowBox[{RowBox[{\\\"E1\\\", \\\" \\\", \\\"\[Beta]1\\\"}], \\\"-\\\", \
-RowBox[{\\\"1.`\\\", \\\" \\\", \\\"r11d\\\", \\\" \\\", \\\"\[Mu]1\\\"}], \\\
-\"+\\\", RowBox[{\\\"Log\\\", \\\"[\\\", SqrtBox[RowBox[{SuperscriptBox[\\\"f\
-\\\", \\\"\[Prime]\[Prime]\\\", Rule[MultilineFunction, None]], \\\"[\\\", \\\
-\"1.`\\\", \\\"]\\\"}]], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\"\[Beta]1\\\", \\\
-\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"r11d\\\", \\\" \\\", \
-RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", Rule[MultilineFunction, \
-None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}]}], \\\"-\\\", \
-RowBox[{\\\"1.`\\\", \\\" \\\", \\\"r110\\\", \\\" \\\", \
-RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", Rule[MultilineFunction, \
-None]], \\\"[\\\", \\\"q0\\\", \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"-\\\", \
-RowBox[{\\\"1.`\\\", \\\" \\\", RowBox[{\\\"UnitStep\\\", \\\"[\\\", \
-RowBox[{SuperscriptBox[\\\"\[Mu]1\\\", \\\"2\\\"], \\\"-\\\", RowBox[{\\\"4.`\
-\\\", \\\" \\\", RowBox[{SuperscriptBox[RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"1\\\", \\\"\[RightSkeleton]\\\"}], TagBox[RowBox[{\\\"(\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\")\\\"}], \
-Derivative], Rule[MultilineFunction, None]], \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \
-\\\"]\\\"}], \\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Log\\\", \\\"[\
-\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\
-\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\
-\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"]\\\"}], \\\"+\\\", \
-RowBox[{\\\"0.5`\\\", \\\" \\\", RowBox[{\\\"RealAbs\\\", \\\"[\\\", RowBox[{\
-\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"]\\\"}], \\\" \\\", SqrtBox[RowBox[{\
-\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}]]}]}], \\\")\\\"}]}], \\\"+\\\", \
-FractionBox[RowBox[{\\\"0.25`\\\", \\\" \\\", SuperscriptBox[\\\"\[Mu]1\\\", \
-\\\"2\\\"]}], RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\[Prime]\\\", \
-Rule[MultilineFunction, None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}]], \\\"-\\\
-\", FractionBox[RowBox[{\\\"1.`\\\", \\\" \\\", \\\"\[Beta]1\\\", \\\" \\\", \
-RowBox[{\\\"f\\\", \\\"[\\\", \\\"q\\\", \\\"]\\\"}], \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"(\\\", RowBox[{\\\"E0\\\", \
-\\\"+\\\", \\\"\[Mu]0\\\"}], \\\")\\\"}], \\\" \\\", \
-RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", Rule[MultilineFunction, \
-None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}]}], \\\"+\\\", RowBox[{\\\"E0\\\", \
-\\\" \\\", RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\[Prime]\\\", \
-Rule[MultilineFunction, None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}]}]}], \
-\\\")\\\"}]}], RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"1.`\\\"}], \\\" \\\", \
-RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", RowBox[{RowBox[{\\\"f\\\
-\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Plus\\\", \\\"[\\\
-\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \
-\\\"]\\\"}]}]}]], \\\"+\\\", FractionBox[RowBox[{RowBox[{\\\"(\\\", \
-RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"1.`\\\"}], \\\" \\\", \\\"r110\\\"}], \
-\\\"+\\\", \\\"r11d\\\"}], \\\")\\\"}], \\\" \\\", \
-RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", Rule[MultilineFunction, \
-None]], \\\"[\\\", \\\"q\\\", \\\"]\\\"}], \\\" \\\", RowBox[{\\\"(\\\", \
-RowBox[{\\\"r10\\\", \\\"-\\\", FractionBox[RowBox[{\\\"1.`\\\", \\\" \\\", \
-\\\"q\\\", \\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\
-\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \
-\\\"]\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
-\")\\\"}]}], RowBox[{\\\"Plus\\\", \\\"[\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
-\\\"}]]}], \\\")\\\"}]}], RowBox[{RowBox[{\\\"1.`\\\", \\\"\[VeryThinSpace]\\\
-\"}], \\\"-\\\", RowBox[{\\\"1.`\\\", \\\" \\\", \\\"q0\\\"}]}]], \\\"+\\\", \
-RowBox[{RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", \
-Rule[MultilineFunction, None]], \\\"[\\\", \\\"q\\\", \\\"]\\\"}], \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"r10\\\", \\\" \\\", \
-\\\"\[Beta]1\\\"}], \\\"+\\\", FractionBox[RowBox[{\\\"r01\\\", \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], RowBox[{\
-\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}]], \\\"-\\\", \
-FractionBox[RowBox[{\\\"1.`\\\", \\\" \\\", \\\"r01\\\", \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], RowBox[{\
-\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}]]}], \\\")\\\"}]}], \\\"+\\\", \
-RowBox[{\\\"0.5`\\\", \\\" \\\", RowBox[{\\\"(\\\", \
-RowBox[{FractionBox[RowBox[{RowBox[{\\\"1.`\\\", \\\"\[VeryThinSpace]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], RowBox[{\\\"Plus\\\", \
-\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\
-\"}], \\\"]\\\"}]], \\\"+\\\", RowBox[{SuperscriptBox[\\\"\[Beta]1\\\", \\\"2\
-\\\"], \\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"f\\\", \\\"[\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
-\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
-\")\\\"}]}], \\\"+\\\", RowBox[{\\\"Log\\\", \\\"[\\\", \
-RowBox[{RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \
-RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"]\\\"}], \\\"-\\\", \
-FractionBox[RowBox[{\\\"1.`\\\", \\\" \\\", RowBox[{\\\"(\\\", \
-RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\
-\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", \
-RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], \
-RowBox[{RowBox[{SuperscriptBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\
-\"\[RightSkeleton]\\\"}], TagBox[RowBox[{\\\"(\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\")\\\"}], \
-Derivative], Rule[MultilineFunction, None]], \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \
-\\\", RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\
-\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]], \\\"+\\\", RowBox[{RowBox[{\
-\\\"(\\\", RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}], \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{SuperscriptBox[RowBox[{\\\"\[LeftSkeleton]\
-\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], TagBox[RowBox[{\\\"(\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\")\
-\\\"}], Derivative], Rule[MultilineFunction, None]], \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], \
-\\\"+\\\", FractionBox[RowBox[{RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\
-\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", \\\"r11d\\\"}], \\\")\\\"}], \
-\\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
-\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"3\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
-\")\\\"}]}], RowBox[{\\\"Plus\\\", \\\"[\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
-\\\"}]], \\\"+\\\", RowBox[{SuperscriptBox[\\\"r11d\\\", \\\"2\\\"], \\\" \
-\\\", RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\[Prime]\\\", \
-Rule[MultilineFunction, None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}]}], \
-\\\"+\\\", FractionBox[RowBox[{RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\
-\\\", Rule[MultilineFunction, None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}], \\\
-\" \\\", SuperscriptBox[RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"2\\\"]}], RowBox[{\\\"Plus\\\", \\\"[\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
-\\\"}]], \\\"+\\\", RowBox[{\\\"2.`\\\", \\\" \\\", \\\"r01\\\", \\\" \\\", \
-\\\"r10\\\", \\\" \\\", RowBox[{SuperscriptBox[\\\"f\\\", \
-\\\"\[Prime]\[Prime]\\\", Rule[MultilineFunction, None]], \\\"[\\\", \
-\\\"q\\\", \\\"]\\\"}]}], \\\"-\\\", RowBox[{\\\"1.`\\\", \\\" \\\", \
-SuperscriptBox[\\\"r110\\\", \\\"2\\\"], \\\" \\\", RowBox[{SuperscriptBox[\\\
-\"f\\\", \\\"\[Prime]\[Prime]\\\", Rule[MultilineFunction, None]], \\\"[\\\", \
-\\\"q0\\\", \\\"]\\\"}]}]}], \\\")\\\"}]}]}]}], \\\"}\\\"}], \\\"/.\\\", \\\"\
-\[VeryThinSpace]\\\", \\\"testDomMarge\\\"}]\\) is not a list of numbers or \
-pairs of numbers.\"", 2, 361, 249, 31990234172837399613, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8953061835895147`*^9, 3.8953061870563793`*^9}},
- CellLabel->
- "During evaluation of \
-In[361]:=",ExpressionUUID->"2e8a9bef-af50-46c3-8e47-5b3731d3db65"],
-
-Cell[BoxData[
- TemplateBox[{
- "ListLogLogPlot", "lpn",
- "\"\\!\\(\\*RowBox[{RowBox[{\\\"{\\\", \
-RowBox[{RowBox[{RowBox[{\\\"1.`\\\", \\\"\[VeryThinSpace]\\\"}], \\\"-\\\", \
-RowBox[{\\\"1.`\\\", \\\" \\\", \\\"q\\\"}]}], \\\",\\\", \
-RowBox[{RowBox[{\\\"E1\\\", \\\" \\\", \\\"\[Beta]1\\\"}], \\\"-\\\", \
-RowBox[{\\\"1.`\\\", \\\" \\\", \\\"r11d\\\", \\\" \\\", \\\"\[Mu]1\\\"}], \\\
-\"+\\\", RowBox[{\\\"Log\\\", \\\"[\\\", SqrtBox[RowBox[{SuperscriptBox[\\\"f\
-\\\", \\\"\[Prime]\[Prime]\\\", Rule[MultilineFunction, None]], \\\"[\\\", \\\
-\"1.`\\\", \\\"]\\\"}]], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\"\[Beta]1\\\", \\\
-\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"r11d\\\", \\\" \\\", \
-RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", Rule[MultilineFunction, \
-None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}]}], \\\"-\\\", \
-RowBox[{\\\"1.`\\\", \\\" \\\", \\\"r110\\\", \\\" \\\", \
-RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", Rule[MultilineFunction, \
-None]], \\\"[\\\", \\\"q0\\\", \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"-\\\", \
-RowBox[{\\\"1.`\\\", \\\" \\\", RowBox[{\\\"UnitStep\\\", \\\"[\\\", \
-RowBox[{SuperscriptBox[\\\"\[Mu]1\\\", \\\"2\\\"], \\\"-\\\", RowBox[{\\\"4.`\
-\\\", \\\" \\\", RowBox[{SuperscriptBox[RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"1\\\", \\\"\[RightSkeleton]\\\"}], TagBox[RowBox[{\\\"(\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\")\\\"}], \
-Derivative], Rule[MultilineFunction, None]], \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \
-\\\"]\\\"}], \\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Log\\\", \\\"[\
-\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\
-\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\
-\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"]\\\"}], \\\"+\\\", \
-RowBox[{\\\"0.5`\\\", \\\" \\\", RowBox[{\\\"RealAbs\\\", \\\"[\\\", RowBox[{\
-\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"]\\\"}], \\\" \\\", SqrtBox[RowBox[{\
-\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}]]}]}], \\\")\\\"}]}], \\\"+\\\", \
-FractionBox[RowBox[{\\\"0.25`\\\", \\\" \\\", SuperscriptBox[\\\"\[Mu]1\\\", \
-\\\"2\\\"]}], RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\[Prime]\\\", \
-Rule[MultilineFunction, None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}]], \\\"-\\\
-\", FractionBox[RowBox[{\\\"1.`\\\", \\\" \\\", \\\"\[Beta]1\\\", \\\" \\\", \
-RowBox[{\\\"f\\\", \\\"[\\\", \\\"q\\\", \\\"]\\\"}], \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"(\\\", RowBox[{\\\"E0\\\", \
-\\\"+\\\", \\\"\[Mu]0\\\"}], \\\")\\\"}], \\\" \\\", \
-RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", Rule[MultilineFunction, \
-None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}]}], \\\"+\\\", RowBox[{\\\"E0\\\", \
-\\\" \\\", RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\[Prime]\\\", \
-Rule[MultilineFunction, None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}]}]}], \
-\\\")\\\"}]}], RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"1.`\\\"}], \\\" \\\", \
-RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", RowBox[{RowBox[{\\\"f\\\
-\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Plus\\\", \\\"[\\\
-\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \
-\\\"]\\\"}]}]}]], \\\"+\\\", FractionBox[RowBox[{RowBox[{\\\"(\\\", \
-RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"1.`\\\"}], \\\" \\\", \\\"r110\\\"}], \
-\\\"+\\\", \\\"r11d\\\"}], \\\")\\\"}], \\\" \\\", \
-RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", Rule[MultilineFunction, \
-None]], \\\"[\\\", \\\"q\\\", \\\"]\\\"}], \\\" \\\", RowBox[{\\\"(\\\", \
-RowBox[{\\\"r10\\\", \\\"-\\\", FractionBox[RowBox[{\\\"1.`\\\", \\\" \\\", \
-\\\"q\\\", \\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\
-\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \
-\\\"]\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
-\")\\\"}]}], RowBox[{\\\"Plus\\\", \\\"[\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
-\\\"}]]}], \\\")\\\"}]}], RowBox[{RowBox[{\\\"1.`\\\", \\\"\[VeryThinSpace]\\\
-\"}], \\\"-\\\", RowBox[{\\\"1.`\\\", \\\" \\\", \\\"q0\\\"}]}]], \\\"+\\\", \
-RowBox[{RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", \
-Rule[MultilineFunction, None]], \\\"[\\\", \\\"q\\\", \\\"]\\\"}], \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"r10\\\", \\\" \\\", \
-\\\"\[Beta]1\\\"}], \\\"+\\\", FractionBox[RowBox[{\\\"r01\\\", \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], RowBox[{\
-\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}]], \\\"-\\\", \
-FractionBox[RowBox[{\\\"1.`\\\", \\\" \\\", \\\"r01\\\", \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], RowBox[{\
-\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}]]}], \\\")\\\"}]}], \\\"+\\\", \
-RowBox[{\\\"0.5`\\\", \\\" \\\", RowBox[{\\\"(\\\", \
-RowBox[{FractionBox[RowBox[{RowBox[{\\\"1.`\\\", \\\"\[VeryThinSpace]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], RowBox[{\\\"Plus\\\", \
-\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\
-\"}], \\\"]\\\"}]], \\\"+\\\", RowBox[{SuperscriptBox[\\\"\[Beta]1\\\", \\\"2\
-\\\"], \\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"f\\\", \\\"[\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
-\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
-\")\\\"}]}], \\\"+\\\", RowBox[{\\\"Log\\\", \\\"[\\\", \
-RowBox[{RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \
-RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"]\\\"}], \\\"-\\\", \
-FractionBox[RowBox[{\\\"1.`\\\", \\\" \\\", RowBox[{\\\"(\\\", \
-RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\
-\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", \
-RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], \
-RowBox[{RowBox[{SuperscriptBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\
-\"\[RightSkeleton]\\\"}], TagBox[RowBox[{\\\"(\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\")\\\"}], \
-Derivative], Rule[MultilineFunction, None]], \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \
-\\\", RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\
-\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]], \\\"+\\\", RowBox[{RowBox[{\
-\\\"(\\\", RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}], \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{SuperscriptBox[RowBox[{\\\"\[LeftSkeleton]\
-\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], TagBox[RowBox[{\\\"(\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\")\
-\\\"}], Derivative], Rule[MultilineFunction, None]], \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], \
-\\\"+\\\", FractionBox[RowBox[{RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\
-\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", \\\"r11d\\\"}], \\\")\\\"}], \
-\\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
-\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"3\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
-\")\\\"}]}], RowBox[{\\\"Plus\\\", \\\"[\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
-\\\"}]], \\\"+\\\", RowBox[{SuperscriptBox[\\\"r11d\\\", \\\"2\\\"], \\\" \
-\\\", RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\[Prime]\\\", \
-Rule[MultilineFunction, None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}]}], \
-\\\"+\\\", FractionBox[RowBox[{RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\
-\\\", Rule[MultilineFunction, None]], \\\"[\\\", \\\"1.`\\\", \\\"]\\\"}], \\\
-\" \\\", SuperscriptBox[RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"2\\\"]}], RowBox[{\\\"Plus\\\", \\\"[\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
-\\\"}]], \\\"+\\\", RowBox[{\\\"2.`\\\", \\\" \\\", \\\"r01\\\", \\\" \\\", \
-\\\"r10\\\", \\\" \\\", RowBox[{SuperscriptBox[\\\"f\\\", \
-\\\"\[Prime]\[Prime]\\\", Rule[MultilineFunction, None]], \\\"[\\\", \
-\\\"q\\\", \\\"]\\\"}]}], \\\"-\\\", RowBox[{\\\"1.`\\\", \\\" \\\", \
-SuperscriptBox[\\\"r110\\\", \\\"2\\\"], \\\" \\\", RowBox[{SuperscriptBox[\\\
-\"f\\\", \\\"\[Prime]\[Prime]\\\", Rule[MultilineFunction, None]], \\\"[\\\", \
-\\\"q0\\\", \\\"]\\\"}]}]}], \\\")\\\"}]}]}]}], \\\"}\\\"}], \\\"/.\\\", \\\"\
-\[VeryThinSpace]\\\", \\\"testDomMarge\\\"}]\\) is not a list of numbers or \
-pairs of numbers.\"", 2, 361, 250, 31990234172837399613, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8953061835895147`*^9, 3.895306187117941*^9}},
- CellLabel->
- "During evaluation of \
-In[361]:=",ExpressionUUID->"0bff50d0-97f1-4c30-8093-e957cb2a1d6b"],
-
-Cell[BoxData[
- TemplateBox[{
- "Rule", "argr",
- "\"\\!\\(\\*RowBox[{\\\"Rule\\\"}]\\) called with 1 argument; \
-\\!\\(\\*RowBox[{\\\"2\\\"}]\\) arguments are expected.\"", 2, 361, 252,
- 31990234172837399613, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8953061835895147`*^9, 3.895306187205937*^9}},
- CellLabel->
- "During evaluation of \
-In[361]:=",ExpressionUUID->"11d5bbc6-3ac9-4632-ab19-567231fa4cce"],
-
-Cell[BoxData[
- TemplateBox[{
- "Rule", "argr",
- "\"\\!\\(\\*RowBox[{\\\"Rule\\\"}]\\) called with 1 argument; \
-\\!\\(\\*RowBox[{\\\"2\\\"}]\\) arguments are expected.\"", 2, 361, 253,
- 31990234172837399613, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8953061835895147`*^9, 3.895306187215206*^9}},
+ 3.895306155237598*^9, 3.8953061985657682`*^9}, {3.895309058792327*^9,
+ 3.895309091344833*^9}, {3.895309145842428*^9, 3.895309161042441*^9}},
CellLabel->
- "During evaluation of \
-In[361]:=",ExpressionUUID->"5b9466f9-af0c-4df7-be46-9c6869dcdffd"],
+ "In[382]:=",ExpressionUUID->"a49628a1-ec9e-4e01-9e67-fe74f327bc06"],
Cell[BoxData[
- TemplateBox[{
- "Rule", "argr",
- "\"\\!\\(\\*RowBox[{\\\"Rule\\\"}]\\) called with 1 argument; \
-\\!\\(\\*RowBox[{\\\"2\\\"}]\\) arguments are expected.\"", 2, 361, 254,
- 31990234172837399613, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8953061835895147`*^9, 3.8953061872243853`*^9}},
- CellLabel->
- "During evaluation of \
-In[361]:=",ExpressionUUID->"d70ce9e6-3743-4d1e-b409-c10028d77ea8"],
-
-Cell[BoxData[
- TemplateBox[{
- "General", "stop",
- "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"Rule\\\", \\\"::\\\", \
-\\\"argr\\\"}], \\\"MessageName\\\"]\\) will be suppressed during this \
-calculation.\"", 2, 361, 255, 31990234172837399613, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8953061835895147`*^9, 3.895306187233252*^9}},
- CellLabel->
- "During evaluation of \
-In[361]:=",ExpressionUUID->"42d510ff-3d16-48dd-a2d5-db7e66844fca"],
-
-Cell[BoxData[
- TemplateBox[{
- "Show", "gcomb",
- "\"Could not combine the graphics objects in \
-\\!\\(\\*RowBox[{\\\"Show\\\", \\\"[\\\", \
-RowBox[{RowBox[{\\\"ListLogLogPlot\\\", \\\"[\\\", RowBox[{RowBox[{\\\"{\\\", \
-RowBox[{RowBox[{\\\"1\\\", \\\"-\\\", \\\"q\\\"}], \\\",\\\", \
-RowBox[{RowBox[{\\\"E1\\\", \\\" \\\", \\\"\[Beta]1\\\"}], \\\"-\\\", \
-RowBox[{\\\"r11d\\\", \\\" \\\", \\\"\[Mu]1\\\"}], \\\"+\\\", RowBox[{\\\"Log\
-\\\", \\\"[\\\", SqrtBox[RowBox[{SuperscriptBox[RowBox[{\\\"\[LeftSkeleton]\\\
-\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], TagBox[RowBox[{\\\"(\\\", RowBox[{\
-\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\")\\\"}], \
-Derivative], Rule[MultilineFunction, None]], \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]], \
-\\\"]\\\"}], \\\"+\\\", RowBox[{\\\"\[Beta]1\\\", \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"3\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], \
-\\\"-\\\", RowBox[{RowBox[{\\\"UnitStep\\\", \\\"[\\\", RowBox[{\\\"Plus\\\", \
-\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\
-\"}], \\\"]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"(\\\", \
-RowBox[{RowBox[{\\\"Log\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", \
-RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"3\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], \\\"+\\\", \
-FractionBox[SuperscriptBox[\\\"\[Mu]1\\\", \\\"2\\\"], RowBox[{\\\"4\\\", \
-\\\" \\\", RowBox[{SuperscriptBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
-\\\"\[RightSkeleton]\\\"}], TagBox[RowBox[{\\\"(\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\")\\\"}], \
-Derivative], Rule[MultilineFunction, None]], \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]], \
-\\\"-\\\", FractionBox[RowBox[{\\\"\[Beta]1\\\", \\\" \\\", \
-RowBox[{\\\"f\\\", \\\"[\\\", \\\"q\\\", \\\"]\\\"}], \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], RowBox[{\
-\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\
-\[RightSkeleton]\\\"}], \\\"]\\\"}]], \\\"+\\\", FractionBox[RowBox[{RowBox[{\
-\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", \\\"r11d\\\"}], \\\")\\\"}], \\\" \\\", \
-RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", Rule[MultilineFunction, \
-None]], \\\"[\\\", \\\"q\\\", \\\"]\\\"}], \\\" \\\", RowBox[{\\\"(\\\", \
-RowBox[{\\\"r10\\\", \\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", \
-RowBox[{\\\"\[LeftSkeleton]\\\", \\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
-\\\"}]}], \\\")\\\"}]}], RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]], \
-\\\"+\\\", RowBox[{RowBox[{SuperscriptBox[\\\"f\\\", \\\"\[Prime]\\\", \
-Rule[MultilineFunction, None]], \\\"[\\\", \\\"q\\\", \\\"]\\\"}], \\\" \\\", \
-RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"3\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", \
-RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"4\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], \\\"+\\\", \
-RowBox[{FractionBox[\\\"1\\\", \\\"2\\\"], \\\" \\\", RowBox[{\\\"(\\\", \
-RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\
-\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", \
-RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\"Log\\\", \
-\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\
-\"}], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
-\[LeftSkeleton]\\\", \\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
-\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
-\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", \
-RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"3\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\
-\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\
-\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"3\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\
-\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"4\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\
-\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"3\\\", \
-\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}]}]}], \\\"}\\\"}], \\\
-\"/.\\\", \\\"\[VeryThinSpace]\\\", \\\"testDomMarge\\\"}], \\\"]\\\"}], \
-\\\",\\\", GraphicsBox[List[List[List[List[], List[], \
-TagBox[List[Directive[Skeleton[3]], LineBox[Skeleton[1]]], \
-Function[Annotation[Slot[1], \\\"Charting`Private`Tag$2080673#1\\\"]]]]], \
-List[]], List[Rule[DisplayFunction, Identity], Rule[Method, \
-List[Rule[\\\"DefaultBoundaryStyle\\\", Automatic], \
-Rule[\\\"DefaultGraphicsInteraction\\\", List[Rule[Skeleton[2]], \
-Rule[Skeleton[2]], Rule[Skeleton[2]]]], Rule[\\\"DefaultMeshStyle\\\", \
-AbsolutePointSize[6]], Rule[\\\"ScalingFunctions\\\", None]]], \
-Rule[DisplayFunction, Identity], Rule[DisplayFunction, Identity], Rule[Ticks, \
-List[Charting`ScaledTicks[List[Log, Exp], List[Log, Exp], \\\"Nice\\\", \
-Rule[WorkingPrecision, MachinePrecision], Rule[RotateLabel, 0]], \
-Charting`ScaledTicks[List[Log, Exp], List[Log, Exp], \\\"Nice\\\", \
-Rule[WorkingPrecision, MachinePrecision], Rule[RotateLabel, 0]]]], \
-Rule[AxesOrigin, List[-9.450192985829709`, -29.549841243564646`]], \
-Rule[FrameTicks, List[List[Charting`ScaledTicks[List[Skeleton[2]], \
-List[Skeleton[2]], \\\"Nice\\\", Rule[Skeleton[2]], Rule[Skeleton[2]]], \
-Charting`ScaledFrameTicks[List[Skeleton[2]]]], \
-List[Charting`ScaledTicks[List[Skeleton[2]], List[Skeleton[2]], \\\"Nice\\\", \
-Rule[Skeleton[2]], Rule[Skeleton[2]]], \
-Charting`ScaledFrameTicks[List[Skeleton[2]]]]]], Rule[GridLines, List[None, \
-None]], Rule[DisplayFunction, Identity], Rule[PlotRangePadding, \
-List[List[Scaled[0.02`], Scaled[0.02`]], List[Scaled[0.05`], \
-Scaled[0.05`]]]], Skeleton[21]]]}], \\\"]\\\"}]\\).\"", 2, 361, 251,
- 31990234172837399613, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8953061835895147`*^9, 3.895306187242208*^9}},
- CellLabel->
- "During evaluation of \
-In[361]:=",ExpressionUUID->"47f50ddb-2ff1-4f2c-8560-1a7bcdd41196"],
-
-Cell[BoxData[
- RowBox[{"Show", "[",
- RowBox[{
- RowBox[{"ListLogLogPlot", "[",
- RowBox[{
- RowBox[{"{",
- RowBox[{
- RowBox[{"1", "-", "q"}], ",",
- RowBox[{
- RowBox[{"E1", " ", "\[Beta]1"}], "-",
- RowBox[{"r11d", " ", "\[Mu]1"}], "+",
- RowBox[{"Log", "[",
- SqrtBox[
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]], "]"}], "+",
- RowBox[{"\[Beta]1", " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{"r11d", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}], "-",
- RowBox[{"r110", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "q0", "]"}]}]}], ")"}]}], "-",
- RowBox[{
- RowBox[{"UnitStep", "[",
- RowBox[{
- SuperscriptBox["\[Mu]1", "2"], "-",
- RowBox[{"4", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}]}], "]"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{"Log", "[",
- RowBox[{
- RowBox[{
- FractionBox["1", "2"], " ",
- RowBox[{"RealAbs", "[",
- FractionBox["\[Mu]1",
- SqrtBox[
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]]], "]"}]}], "-",
-
- SqrtBox[
- RowBox[{
- RowBox[{"-", "1"}], "+",
- FractionBox[
- SuperscriptBox["\[Mu]1", "2"],
- RowBox[{"4", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}]]}]]}], "]"}],
- "+",
- RowBox[{
- FractionBox["1", "2"], " ",
- RowBox[{"RealAbs", "[",
- FractionBox["\[Mu]1",
- SqrtBox[
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]]], "]"}], " ",
- SqrtBox[
- RowBox[{
- RowBox[{"-", "1"}], "+",
- FractionBox[
- SuperscriptBox["\[Mu]1", "2"],
- RowBox[{"4", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}]]}]]}]}],
- ")"}]}], "+",
- FractionBox[
- SuperscriptBox["\[Mu]1", "2"],
- RowBox[{"4", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}]], "-",
- FractionBox[
- RowBox[{"\[Beta]1", " ",
- RowBox[{"f", "[", "q", "]"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{
- RowBox[{"(",
- RowBox[{"E0", "+", "\[Mu]0"}], ")"}], " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}], "+",
- RowBox[{"E0", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}]}], ")"}]}],
- RowBox[{
- RowBox[{"-",
- SuperscriptBox[
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "2"]}], "+",
- RowBox[{
- RowBox[{"f", "[", "1", "]"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "+",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}], ")"}]}]}]], "+",
- FractionBox[
- RowBox[{
- RowBox[{"(",
- RowBox[{
- RowBox[{"-", "r110"}], "+", "r11d"}], ")"}], " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "q", "]"}], " ",
- RowBox[{"(",
- RowBox[{"r10", "-",
- FractionBox[
- RowBox[{"q", " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{"\[Mu]0", " ",
- RowBox[{"f", "[", "1", "]"}]}], "+",
- RowBox[{"E0", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}]}], ")"}]}],
- RowBox[{
- RowBox[{"-",
- SuperscriptBox[
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "2"]}], "+",
- RowBox[{
- RowBox[{"f", "[", "1", "]"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "+",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}], ")"}]}]}]]}],
- ")"}]}],
- RowBox[{"1", "-", "q0"}]], "+",
- RowBox[{
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "q", "]"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{"r10", " ", "\[Beta]1"}], "+",
- FractionBox[
- RowBox[{"r01", " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{"\[Mu]0", " ",
- RowBox[{"f", "[", "1", "]"}]}], "+",
- RowBox[{"E0", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}]}], ")"}]}],
- RowBox[{
- RowBox[{"-",
- SuperscriptBox[
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "2"]}], "+",
- RowBox[{
- RowBox[{"f", "[", "1", "]"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "+",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}], ")"}]}]}]],
- "-",
- FractionBox[
- RowBox[{"r01", " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{
- RowBox[{"(",
- RowBox[{"E0", "+", "\[Mu]0"}], ")"}], " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}], "+",
- RowBox[{"E0", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}]}], ")"}]}],
- RowBox[{
- RowBox[{"-",
- SuperscriptBox[
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "2"]}], "+",
- RowBox[{
- RowBox[{"f", "[", "1", "]"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "+",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}], ")"}]}]}]]}],
- ")"}]}], "+",
- RowBox[{
- FractionBox["1", "2"], " ",
- RowBox[{"(",
- RowBox[{
- FractionBox[
- RowBox[{"1", "-",
- SuperscriptBox["q", "2"]}],
- RowBox[{"1", "-", "q0"}]], "+",
- RowBox[{
- SuperscriptBox["\[Beta]1", "2"], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{"f", "[", "1", "]"}], "-",
- RowBox[{"f", "[", "q0", "]"}]}], ")"}]}], "+",
- RowBox[{"Log", "[",
- FractionBox[
- RowBox[{"1", "-", "q0"}],
- RowBox[{
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "-",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "q0", "]"}]}]], "]"}], "-",
- FractionBox[
- RowBox[{
- SuperscriptBox[
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "2"], "-",
- SuperscriptBox[
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "q", "]"}], "2"]}],
- RowBox[{
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "-",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "q0", "]"}]}], ")"}]}]], "+",
-
- RowBox[{
- RowBox[{"(",
- RowBox[{
- SuperscriptBox["r01", "2"], "-",
- FractionBox[
- RowBox[{
- RowBox[{"(",
- RowBox[{
- RowBox[{"-", "r110"}], "+", "r11d"}], ")"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{"2", " ", "q", " ", "r01"}], "-",
- FractionBox[
- RowBox[{
- RowBox[{
- RowBox[{"(",
- RowBox[{"1", "-",
- SuperscriptBox["q", "2"]}], ")"}], " ", "r110"}], "-",
- RowBox[{
- RowBox[{"(",
- RowBox[{
- RowBox[{"-",
- SuperscriptBox["q", "2"]}], "+", "q0"}], ")"}], " ",
- "r11d"}]}],
- RowBox[{"1", "-", "q0"}]]}], ")"}]}],
- RowBox[{"1", "-", "q0"}]]}], ")"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "-",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "q0", "]"}]}], ")"}]}], "+",
- FractionBox[
- RowBox[{
- RowBox[{"(",
- RowBox[{
- RowBox[{"-", "r110"}], "+", "r11d"}], ")"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{"r11d", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}], "-",
- RowBox[{"r110", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "q0", "]"}]}]}], ")"}]}],
- RowBox[{"1", "-", "q0"}]], "+",
- RowBox[{
- SuperscriptBox["r11d", "2"], " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}], "+",
- FractionBox[
- RowBox[{
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], " ",
- SuperscriptBox[
- RowBox[{"(",
- RowBox[{"r10", "-",
- FractionBox[
- RowBox[{"q", " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{"\[Mu]0", " ",
- RowBox[{"f", "[", "1", "]"}]}], "+",
- RowBox[{"E0", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}]}], ")"}]}],
- RowBox[{
- RowBox[{"-",
- SuperscriptBox[
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "2"]}], "+",
- RowBox[{
- RowBox[{"f", "[", "1", "]"}], " ",
- RowBox[{"(",
- RowBox[{
- RowBox[{
- SuperscriptBox["f", "\[Prime]",
- MultilineFunction->None], "[", "1", "]"}], "+",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "1", "]"}]}], ")"}]}]}]]}],
- ")"}], "2"]}],
- RowBox[{"1", "-", "q0"}]], "+",
- RowBox[{"2", " ", "r01", " ", "r10", " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "q", "]"}]}], "-",
- RowBox[{
- SuperscriptBox["r110", "2"], " ",
- RowBox[{
- SuperscriptBox["f", "\[Prime]\[Prime]",
- MultilineFunction->None], "[", "q0", "]"}]}]}], ")"}]}]}]}],
- "}"}], "/.", "\[VeryThinSpace]", "testDomMarge"}], "]"}], ",",
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
- Opacity[1.], LineBox[CompressedData["
-1:eJwB4QQe+yFib1JlAgAAAE0AAAACAAAAuA/Ts7FrIsCUl7yNiqE7wC21m+Pi
-aSLAw49pVdSeO8CiWmQTFGgiwPOHFh0enDvAjKX1cnZkIsBSeHCssZY7wGA7
-GDI7XSLAEFkky9iLO8AIZ12wxE4iwIwajAgndjvAV77nrNcxIsCCnVuDw0o7
-wPZs/KX99yHAcaP6ePzzOsA4wJcdjnohwFSgYyzVNzrARQRIj24FIcBoBuzW
-JYg5wDGQgSmbkiDASVhCvujbOMAhEi1JDBYgwDKbw20SITjAuQnbxZpDH8BL
-R2QUtHI3wDnbPwSmRx7Aa+Qvg7y1NsB2PLeTSVAdwFltyS43/DXASX9YF41p
-HMB3X4LRKU81wCWu3aVZbxvAnEJmPIOTNMCXvowoxoUawPGOaZ5U5DPAxl5O
-/MqgGcAUxzo9mDgzwP7q89pYqBjAP/A2pEJ+MsDMWMOthsAXwJmCUgJl0DHA
-pLJ2iz3FFsD7BZko7hMxwDicPLqMzhXAKnWti+laMMBiZyzde+gUwBObwsu5
-XC/Alh4AC/TuE8DhLYAQbuYtwGC3/SwMBhPAEJN8QxKJLMAzPN9ZrQkSwEza
-zgaEDivAw1DT1+YREcAl+bxD2popwOlG8UnAKhDAXurpbiBAKMAvUuaNRWAO
-wKO9bCo0yCbAuNk9cEqMDMBKYy7UN2klwLqAuvR/wQrAi+CL9x8RJMDP//6O
-x88IwNs/P6vVmyLAEEKXEU//BsCMcTFNez8hwGRc96noBwXAlgrz/tyLH8Ax
-lnzkshkDwErhulaMphzAKpNVB71MAcC/XACLG/MZwG3Q7H+ysf6/UZzx30UF
-F8DeANbBagz7v6eAYBFQSRTAQXAJSIR5978xFAc2I5sRwMqPzPnBmPO/r9ey
-9iJlDcBWa274/vTvv4HQUjq/9wfAZBdjVMIc6L+LUUq/kRUCwCLQplGFyeC/
-Mjh6+kcu+b+JDf6uFTbTv04UfYYg0ey/LttpR4sNrb9bZI91KMrFv7n6CjVn
-0cU/CTzIZw1d4D+Idbnvh6raPyUYy/Pl//M/9jjimWsR5T9yVdNmIZr/P3iq
-mJqTSOw/2n/ys242BUDX3ReiuQ3yP8LMI3OWFAtAGuA7pqm09T8T6Kw8f0cQ
-QGujFWY4Sfk/kDqQTOr2EkCWtl/6oiv9P/HIxzu64BVAtCEB38ZlAECOsoFO
-qpgYQCzO9YnebQBAQrXwzs2kGECkeuo09nUAQPa3X0/xsBhAk9PTiiWGAEBc
-vT1QOMkYQHKFpjaEpgBAK8j5Ucb5GEAv6UuOQecAQMbdcVXiWhlAqrCWPbxo
-AUD/CGJcGh0aQCJdi+jTcAFAswvR3D0pGkCaCYCT63gBQGcOQF1hNRpAiWJp
-6RqJAUDNEx5eqE0aQGgUPJV5qQFAnB7aXzZ+GkAmeOHsNuoBQDk0UmNS3xpA
-niTWl07yAUDtNsHjdesaQBbRykJm+gFAoTkwZJn3GkAFKrSYlQoCQAc/DmXg
-DxtA5NuGRPQqAkDWScpmbkAbQFyIe+8LMwJAikw555FMG0DTNHCaIzsCQDxP
-qGe1WBtAwo1Z8FJLAkCjVIZo/HAbQDo6TptqUwJAV1f16B99G0Cy5kJGglsC
-QAtaZGlDiRtAKpM38ZljAkC/XNPpZpUbQKE/LJyxawJAcV9CaoqhG0CRhkO0
-
- "]]},
- Annotation[#, "Charting`Private`Tag$2080673#1"]& ]}, {}},
- AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{-9.450192985829709, -29.549841243564646`},
- CoordinatesToolOptions:>{"DisplayFunction" -> ({
+ GraphicsBox[{{{},
+ {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.003666666666666667],
+ AbsoluteThickness[1.6], PointBox[CompressedData["
+1:eJw0XHc81d//t/e4S2hQioqGpFRKaZCigYampNLUnkSFEhVRaZC2lGSn8HpJ
+dmWP7L3Xde9FdPm9v+fz/vVPj/eje899ndd5nXNez/FuioOz9QExERERhrqI
+yP/+/v8/siVxeQxjITSpnRfUVFlDSaNO2FTqmTP+f88OYPcsv30n9eykM+/k
+hvXH4EThdd1E6tlf/X//fhpMvL+LGi8VgmhoUfS4wAuwWhRl6qlnG/J5F/BS
+tqoIXyaE3Vszx6265g5N34pYQSZCCCXfvw79U602hS0XQnnVtOLLizxBInSR
+QeUKITDJeDfBfEaAnf5KIRjsv+4f3esNDwZ/O71bJQR3Mr4vTDuSK75ijRCq
+22s3dLy9CzUqv/L+mgnBg/yeH7wZf/5M8VohsL5oSDEj/cE3LOVh3johfCO/
+fx+sv3Y3dFgKYfuVX00f5QLBTuy+mM5GIfwh8TyA+zJXXrhvFoKviUva2oMP
+4cWF6GPDNkLQJPE9gppH51gBW4XwVlTvZVNqEDwbmLNynZ0QVpN4H8P+RSc/
+au4SQuePP+7uk55CGKdLjL1XCN4k/mdQd+nk0FQHIcy9dWvvxEvBcKq8boX1
+ASEkkPmEwPUAff9gJyFsXm9k8qX4OWx4uPu55DEhnCXzCwU5xaNat52FsFb6
+jJKu2gtgrthVqHtGCOpkvi/AxW+uU+t5IVQ45QgH17yEf4F/guGyEOLJ/F8C
+Z+uKOTFXhXAtZ0p3+plXkBi2sCT1OhU/ycdrOPj2wsZOLyGwZ12qCnjxGkpN
+X+6Y6yOEZpKfN3Bl0DDuzj0hfLmTn7sv7w00BnlrSAUK4SrJ11uwMijYGhQk
+BOve6d/mCt+CnyxDc3WwEFRI/t5BQpz6YtmXQqjf5BYu1A0D1w13DrW+pdaH
+5DMMODEFx2s+UOsdXfo4d/t7ON7KZPR8FsImkt/3cP3mYva4eCGocuZ4P/YK
+h4qN3KVbvwmhheT7A+R8fWrzCYUQd87z4qHYD1AZtVlDI0MI10n+P8Ib61rH
+N7lCsCqrOrSg4SPkZmDvqgIhTCHrEQFb52je+lsqBMEiw23ijE+g9uzXYHqV
+ENLJ+nwCl6lmsu8bhHD3iY9ZwbJI2Df49ubLNmq+ZL0i4fjjSJPoHiq+q9wn
+eQs+w3X1lOEyvhBcyfp9hgzHn7fYI0KomhN8P/7nZxh6dTzeUXQU1pD1jAKv
+sNzNudKjEFm79nbw/ihgOb2eaa40CqpkfaNgzNNcsZwzCm5+/Gsew1EQ3hHw
+03XCKNSR9Y6GjkMCo0Vao7DeNPTSUf9ouH3EYbL0zFH4RNY/GnZ8sdvWMXcU
+1PvXn7KeEQP3ltR9ql84CldIPcQAs/jq365lo9D0ctBpMcSAy6oVcgprRmEj
+qY9YOMeIjDWxHIU4m1f2k7fGAsOj6KeHDTUeqZdYkPw4b3rNDio+iY3bpbtj
+YY9TZtA6B2o8Uj9xcPSG3GD24VFYFze8sedGHMQUtajuOjUKUaSe4uDpoaQC
+kUujMP7gW/OS8fHg/3X3SIL7KLiQ+oqHMzzFY9dujULbOOvlSVHxIDfLbWSX
+3yhsJvUWDytS86+tCxqFmEzhwldrE0D44U6ZRSg1Hqm/BNjdEF6yI2wUPC++
+n3O7NgHGpXpucf08Ct2kHr9AsUuDftSXUdg0c4vOqfNfwPFph+kAjkI8qc8v
+cPKs3n7L7FGYXCGisV0xESITA51jCkbhJqnXRFgtdWGlXsUotN7+qLL8dSKY
+nLueENMwCltI/SZCn0l6uGXnKHwz3q6oY/wVGLvDhwS8UZhC6vkr7F0w5Br5
+j4qvS1xSsfAr5KzLU70kOQbtpL6/wXd+2CtrpTGwDo78x3P6BtkTt44Zq45B
+Mqn3b9AkOiqzYPIYTN6wk18x9g1GRCc9XzZzDG6Q+k+CRqcboVsMxoA7KtWV
++jAJxNfYdrkYj8E2sh+S4JiphEPM6jH4GhndGDY7GdZ6bq8fsqLGI/sjGTyC
+Dqyz2jYGvvZ7Ku/9SAZ3q7uun+2p8ch+SYE/kdd3ah0ZA1umXNH5nSkgGDRJ
+f3mGio/snxTYd0Pu2TzXMdD+Hpezuz8FSgvOp/72GoPbZD8B5HrtUb3sNwa8
+0/u+r/YGuOjc5Db/CRUf2V8Ai+6crh5+NQa1/lLVKgwEg2mJrPyIMVAh+w1B
+63eEWEzCGKw5UrXdeyfCKv/bfq9Sx8CF7D+EWSM/n7/IHYPIldHF/94ivFq+
+gBNRMgZ1ZD8i6O9ML0ivHQP2hFubTvYjXF2MSZ3tY/T+TAX72rBEDf4YXObt
+/tm4LBUOBZlG7BkdgwiyX1NBLHBNyhYJEazPnb92m3cqSI/t87ouK4L/7d9U
+2JEQ8yJOSQQtXsv+yClOheLz48R72SLoQvZzKli9vRE8R10EI1xql5tM/g4O
+o0zHsxoi2ET293fImymwwKkiOG5L3Leoo99h02HXlayZIvjffv8OfYtUTY/M
+EUHX2T5G2gnfoWZg3eKs+SIYTfb/d3jlk6Qxa7EINkjuiwkSSwNg6zU/MBFB
+NXIepMGH2yfdJVeL4NqahXMVNqSB3oVrTZctRNCNnA9pwA06JjmwQQSj4hU+
+uD1Og/uPdpSdt6XGI+dFGkRF39kgtBNB9XsNOrymNDh/Zt9e770iaEnOjx8w
+Z++60fEHqPEOfXl5UP8HaH0o0Yw+IoKfyXnyA0K4YV82nBTB5uV3NSqu/ADl
+tmvJfeeo8cj58gM2j1s4NeiKCFqpOT6xyvwB0veia1ZfE8Fr5Lz5Aez3I00D
+XlR8fYvHpbLSQfXrLL1PviLYQs6fdJAovPD2yH1qvtnK9w33pMO7C9qWs4JE
+cAM5j9JhxcFAJi+Yiu9Fs2LY+3SQs1zclfJKBGPJ+ZQOqd4hBffeU/Fd+uY9
+QZAOKrz9CQciqfHIeZUBin4mASviqPWw9pe8tyIDtuwd2jH5GzUeOb8ywEn9
+pIRkqgjG6B66JuabAW/5QZ49GVR85DzLAJMjl4urforgePFlwnNlGcAbmdua
+V0jlj5xvGZAw3BaTWS6C1ytZl9q1MoG9oU3/Rw21vuS8y4R9Sz1s05tEsDWm
+jb/rRCZkz9dRye0QwUnk/MsEqcB1h0v6qPz5ppzMT8yE/ovu5k0DIvjfeUh9
+3vPw28F/IhjvGNi1SjILZkYluiiLi2IbOR+z4DfTKFVPVhQ1lh1xStiUBSIf
+E49YKovif+dlFkQt1zt5SkUUPVVWNOk+y4L1qjeznkwQxf/OzyzQLftzJGsK
+NV63in1IaxaglemG4emiOIGcp9mwbXXXYf051HgZnZXM+dngtml83BFDUbxB
+ztdsUH87Yfr7JaKYEJK6zfNqNoy0b0roXCGKneS8zQZDSb3dBuZUfBceFQ1l
+Z0PzkC7D1UoUbcn5m03VZ31mro0oem08vvGYSg4k1/de0dhBjUfO4xww+yk5
+7Zy9KHZPX5Vba58DSdqNCXkHRXESOZ9z4Hzz1rlzjouijYi6uc3HHKiZtPy6
+3xlqPHJe58Di4lthA5dE8Wt5z/eMwRyoLp/7xN6dio+c37kgfG6y8beXKE6O
++mGyZFUu9Iz/DcvviOIWcp7nQpO/ZFNsgCh6ez/5GnE3F5ZcHR87+4kofiHn
+ey7oHNg0IzxUFHv3nVw4pSIXuNFDi3TfieIUct7nQsjD0zUREaK4dYlZdKD2
+T5Cp0WUuiBXFW+T8/wlnC59mw1dRTGJNnCNz6ic8ULES2ZBKzZfcBz/h79Wi
+iNpMUZzayX1/Jekn9P7Nzzn7m4qP3A8/IWc/f6NiiSjeTMvU7pX+BcFH/i54
+X0nNl9wXv8D2WNi5tQ3UeE+DXzjY/AKTraXSnW3UeOT++AW9Ho7Nfr3UeGfP
+TCoN+QUPXq+QXjJAzZfcJ7/gtb/jwZZ/ogiWFo8tOn5Bx+LSkQfiYthD7pff
+MOz6DtfKiaGWtqZK8oLfMMoaiBhliKEduW9+Q6NjZ1KCqhh6C/l++td+Q/nF
+pJYzGmL43/3zG+bnv582X1sM+0tyFF7//A1h68ecBXpiOJ3cR7+hWInz/auB
+GG7/FHpLVS0PtB3XcW4sFkNfcj/lAeuFsv2GFWKIXuclfPbnwTu5qpCJ5mLI
+J/dVHhz8apDTbSWGU/dauo9+ygPnGy8qU23FcAe5v/JAvhx/Bu2kxjPS+ndq
+OA+ORc5/dNpBDGvIfZYPxUffGW48LIbD0v++9WvlwwAWhcw5KYZscr/lw/sn
+l/MYF8RQj99y6ePafGgRd0KBqxj+d9/lA1Pp9NFqDzG0ryswOngiH65/uZiT
+6SOGl8j9lw87yw+Uxd4Xw/s/kwSagdR4IrN9Xz8Ww4/kPsyHpCO5DQ9DxTDr
+y7uYP4n5UFhjXuLzTgzryf2YD6PPonff+ETF9/r+qYDafNhkpn3eNU4MOeS+
+zAfTjO9ql5PEcJa/61wryQKwX5qw/FKaGP6HVwrApMWo+XIOFZ+rU7eUXgE8
+kL0h7lYghlfIfVoACTW1gZ7lYhh42OYDbiqA2VdCAu7WiuF//XABPElSHX7c
+IoaZW0wOXz5fAJXzI76/6xaj79sC2MnIbk3gi+GI6czphs8K4K18zf6cETFU
+IfdvASzYcmherZg4zp3Dae5OLYCTV9vWDciK41pyHxdA88HucGWmOO4bP/by
+XWsB4Aw5Sz01cbxC7ucCOC5ZOcNCUxwDpTrs9ykWwmVriaWHdcQxktzXhfDy
+oIG7z2xxzOwv1pgwvxAm3FTvizQUxwZyfxeCbMk5r1JjcfxXA1XF2wthlrG8
+ydhKceSQ+7wQUna+Yequo+LLDX9y92oheFxV/bd1MxUfud8LQclt6ZDndnHc
+n/Bg+9rXhaD9bUAkYa84upD7vhCOi+ozOw6K48NX7uPEcgphgfufqZonxDGK
+3P+FcC62c/7Wc+KYde9o8bfeQhjcfnDpPRdxbCT9QBFEb9m0KOcGFd+VrffP
+qRSBVWSClrSPOKqS/qAIis5HDay5L47znEw3zTUugvuJdpFej8VxHekXikDj
+VJF5digVn+0spXb7Irh5Zu03xTAqPtI/FEHC/nYJ20gqvhWqP196FYHgRbfm
+s3hx/Ez6iSJ4vDRAuiVZHHNnid3e9bEI6uo0Euali+N/eKQIenIrZ7r9FMdR
+tW7zcYXU979N2Pm7SBzVSL9RBJ71C800K8VRX7JcMn+wCMbyfVpONYijBek/
+isHwrJtRRrs4OnK/p3lPKoYp/1wMJ3LF8SrpR4qhslBQfmZIHB9VR1xbtaoY
+Ht3ZN/nXmDjGkP6kGKprlknNkJbAnOyg5UKnYii9peTloSRB9yvFkLNx99MG
+FQkci7shjL9bDAldiaYrJ0mgKulfikFZ5OvZV9MkUP/liW8nY6nxJf7OlZol
+gZaknykGp5VqzkfmS6DjXbtLuhXFoPY9ZXb+Egm8SvqbYhAsf3zIaKUEBl1e
+bdQ0VgynNXeohVpIYAzpd0rg/Z5EY7nNEph7cK4gWLsERG6f/XVuOxUf6X9K
+gB+5IbthLxWf9fiYbetLYMiWobf5kATdD5XAlUM3e/CEBBoulzzFPFUCcoY3
+lQ3OS9D9UQkE2rV5v3aVwAN6fXNyH5ZAevItOzVPCbxG+qUS8Ly2/vIdXwl8
+rFrZ5ZFUAgECtTbxQAmMJv1TCSy6VxNy5akE/hLPCDdpKAGN6rtP+C8lsIX0
+UyWwymVK2YlwCRTp++w0JF0KowoBmzqiJPA/PFgKs2c0ix1KlMD5VU91omeX
+wkVbjY4mpOIj/VYpRIxYiDlmSeChLK+mozalsMz+onlTHhUf6b9KIe9+StyB
+Mgl8GnvqpfalUug5tNCirUYCY0k/Vgolx0eFR1uo+EJ32deGlMLGhsX5fd0S
++B/eLIXYMEbSeQEV3x1zjcc/qPiWRyYL/0ngBNKvlcLQF7MCTwlJnH/JoMq6
+oxRufVTgKSlI4kbSv5WCvIGx5mO2JDodmPREgVEGv0sY1tMmSNL9XBk8v5d/
+87OWJD7dLLM9Y0EZnE9MTVqmK4lxpL8rg3lS+t258yTx9zKeivvOMjhx8ajK
+zsWS2Eb6vTK4YJc1r3OFJIrp1hQtvlYG5vrPTVzWSuJ/+LcM3nyxXKS0SRIN
+x2X7896WwdaKeRNebKPiI/1gGTiGxjQa7pXEw2KxGyN+loGLvvHd7IOSeIP0
+h2Ww9/sC1b0nJPFZT4jiof4yOPWIc0VwjoqP9IvlsKHfMt7XVRLzK7xzJ6uV
+g6fS9vRpnpJ0/1gOO9ViXif7UvFlnvWuWFYOEdNqN20LlKT7yXIon7Evg/tU
+Eo1i9poH7i+H7P5U0TuvJOn+shwUp9wdm/GBiu/5OskN3uUgPWFrUno0FR/p
+N8thpuwnw/1fqfz5LEiTjqTi+TX7gOh3SUwg/Wc5TBk5uS40WxLzLky+llpc
+DgH54+qXF0hiO+lHy+H0nO/adeWSKOEov/zKcDmI+KurXKuTxImkP/0Dn2Qy
+P2i1SeKiTQP/DCf/gWqDiy0/eiXpfvUPfDGoST00SMW3tP5rz5o/oBkesUR+
+TJLuX/9ASHSIVaSUFIbM+Hkx7Ogf8Cg9NmijJIVfSD/7B4Zkywz/qkhhISdh
+oYP/HzB4/Vzs+SQp7CL97R9I2O67e422FEqIvuRPSPgD0foHV3bNksLJpN/9
+AzYefyMCDKXQqNs3uqTqD5jzVYKNl0rhZtL//gGT/XcVmlZJ4dE/F07eE6uA
+q72L/vqul6L74Qq429Wzd6GNFAanO8yxmFEB7VW+y+p2UPGR/rgCMo/2373t
+QMUXZdUltqEC+AfFNi84IoUdpF+ugNgvL93rTkmhZMii8KQzFZCyL2m87yUp
+1CT9cwWYnDGeuOiaFC66PdXp/GNqfBnl6023pNCa9NMVMHPVTAt/Pyk8fl5J
+Rx8qwMzU7YRJkBT+x4dUQPQE2d7O51T+HP42tjdVwJaa1MzH76TofrsCeq+/
+E5hHUvFtaHrxSq4SbnV+PTcQL4U9pP+uhM6qsdVvUqj4jPP27tavBMO/Lva2
+GVI4hfTjleD01Thd/LcULp7+dZLq1krQPL72ZEwJFR/pzythsV70nv3VUniM
+/aYy/0olvCq9fYfdLIU3Sb9eCTM4rX/TuqQwdOze49svKmGzWU3oWb4UfiP9
+O/V867ab9j8qvs7L21ZnVoLEe5mAUnFpup+vhD7ti+U35aVRpvyAymhXJezV
+GbFczJbG//icSnA/H9/dMV4al/zYVJTAqoJH1wsSnmlJoy3p96tgkfX5sA26
+0njis7H/qUVV4H+jIEnEQBpvkv6/ClLMWP3Ri6Xx5TOdjXp7qmCO3ZE1B0yl
+8SvBA1XAFFWKVbWQxuJbTMXmG1VQIGNonLOJio/ggyoI+apS7rJdGmXP/csJ
+eV8Fwsqem3PtqfgIXqiCo++F5g2HpHHpvtZb2/OqQK7wusoDZ2kaP1TBljOp
+3eYXqPisCs1Ygipo4Yz9Gr4qTeOJajB/fSMmwksaXy1Olvg5vhqyTz5+an9X
+GpMIvqiGk9Pv3GA/lMZS7bDvniuqof53hFNGMBUfwRvV4JBmufbSGyo+VoD7
+8oPVUBedrDkrQhq1CP6oBpnHW7tqYqXReNTV5K8P9flvzh/8k6j8ETxSDS5v
+9u9Y/UManTuc/kVHVcNU7XsDA7nSeIvgk2oINtvs+r5IGl+X2nw9VlYNfzfJ
+d+2slMZkgleq4cD3ySuUGqn4vptc1BFWwy3LwfPYIY3/8WM1MJA/cOd0PxVf
+5MyFdVo18Hy39/Vpw9I4leCZGtg0c4J1qagMmjzl8B+vrYEVfuOHb8rK4DaC
+b2rgJWPowmKmDJ66ORZlc6IGVpnrZHeoydB4pwYWdql3Pp0sg2/OdDgrBtaA
+R55FpeUMGUwi+KcGOkrmPBLOlcHyvSWzMxOp3xesmvjJSAa5BA/VgM58Kac9
+y2VQzhI73Wup5xD+BSVzGZxK8FENWG/ws0jZQMW36MP7JZK1YG2/q+L4Vhm0
+I3ipFpL6q6dP2iODp6c9PMTXrYVxU5/N/XlAhsZPtVAjN7n38nEZfMW4pv1p
+Uy28SOLvn3lOBoHgqVpgmr7zKXOh4vt3tPHQ+VqYH5ix39ODio/gq1q4/bKx
+3cBXBuXbt76Y8qwWLM38J9QFyKAOwVu18GG144DvUxlcUWK6tzK1FtTX8y4s
+fiWD2wn+qoXgrtLg5nAZPJs6a9KD1lqY9/z9Af9oGbxN8FgtaCVK/1r6VQYL
+S32Ov5Oqgxsn7hW0pspgHcFndRD6u+7k/WwZ7LK8ZumhXgcuqcFhSwtk8C/B
+a3WwS/LI+ZZyGZROO6+3b1YdWM/qLLtXJ4Msgt/qoOJxVs6iNhmcvPiYnMny
+Orjg/sGyvlcGZxE8Vwe7a012eg/K4OLIfe3jretgmvtcvv6YDJoRfFcHbnw9
+lXIpWbTW3pY16FgHowFN364qyeJegvfq4M8l+ZZp42Tx2FPLd8UX6iD1uq1/
+ziRZvEzwXx18WXfum7O2LHoxV3pF3a6DQV1tB85sWQwgeLAOCowm3fhiKIuh
+N40O3A2ug3ATtYm7lsriJ4IP66A3rVB3bJUsfhXOWn30cx1wROUjXqyXxUyC
+F6n8NLiHrrKRxeIzWlPXptWBsdSAWPMOWRo/1kH6l9mFng6y2N2uKqZdWgeX
++F3yOkdkcYTgyTpg7B2OSD8li1L2ivWi7XXQY64R73hJFlUIvqwD+7daWuLX
+ZHFyKYWZR+ogV7WoN/SWLM4meLMehNX/Jpr4yeISy6GQb0r1cKb6xLuKR7Jo
+TvBnPYQ9/et7/rks2nzvdg2aUg9nlznnMt/J4j6CR+vhuOcr+4+fZPH4osZd
+5wzrYX3h0XVm8bI0Pq2HrZOee9Umy+LNT+XG1ub10DCkwr6YLosPCF6th4y7
+4d3Kv2Tx5bTf4+fuqIe6kEWcd8VU/gh+rYdXrsEey6pk8duTtL/yx+vhBevL
+0qJGWcwieLYeZpc5LXHqlMUSRmJ5m1s99Bb7X/nXL4sNBN/Ww93X40bvDcti
+j9enhPT79bD7WBVoicnhMMG79SBTm50SKyuHMsJXD1++qQfbJZlDa5hyNP6t
+h9I1KUdL1eRQ68zjc25f6gE3P1E5OFkO5xA8XA9vFqzl86fLoXH7XdtdudT3
+N8ZL3pgrR+Pjenh/rdicYSSHW/Z6zF9cUw/O8wO/PDORQweCl+thzYa2LTPM
+5NC55BJrHLcevJelT4qxkqPxcz2Yd09WWrZFDr3XO3P7xRvAMLt/WsYuOXxA
+8HQDhH2bb7/BUQ5fpjrm541rgJezapJLjsrR+LoBikR6jHedkcMkox2RH2c2
+QHiQfXn9ZTnMJni7AY7lGfofvC6HJREb73ovbQCr4SOOHd5yNP5uAP9WiU3H
+/eWwZ+qa4wc3NkBUtaR1b5AcjhA83gA+T047nQyVQ9knSyxXOTTAPevN/n3v
+5Gi+vQGGIt/nOEdS+WPo600+1wCyhR6snng5Gq83gLVl98GjKXK41EtbTniz
+Afq1e9Nb0+Vo/N4AHeWPZu//JYdb/41v//OkAY5vHnhaXUzlj+D5BljUPV55
+W5UcnjzNyIqPaADeZVXPvEY5Gt83wJ3FYyNmnXJ4u03yXQA2wIeyllPJ/XI0
+3m8A9pmmJoNhOXy9Z8TzZFEDTApStnknKo+fCf5vAD3Ta1/Hy8pjcnGfo1VL
+A+iW2qjfYchjNuEDGkBh1qvjo6ryWLquZZXu3wbY5uEbd0JTnuYHGuGD75ze
+ah157MVKLWmFRti+572a5Rx5FBK+oBF6XDX0ExfIo6xRgWiTRiNUV3yer71M
+nuYPGoGZ5zHFb7U8To3IqMN5jfBIAwf/rpdHfcInNMK6Qe9YBxt5XDo1CYJX
+N8KlPrmtOTvkaX6hEV7KHa/Qd5DHbY+jQi5va4SpkZXLHx6WR0fCNzTC38gb
+HsMn5fGk8jvXbUca4Zp5wNvdF+XRlfAPjbBIbclrcJNHb89nuwxdG8F31vsr
+k2/K4yPCRzTCmwGWnvtdeXw14m/M9GuEhZs+fK55IE/zE41gd/md3NJgKn+n
+bo7vedkIByeZGAW9pvJH+IpGKF77zpD3QR7LWl3+5sQ1wqQzE0WtYuRp/qIR
+3l4qf/Lmqzxyd58uf5fVCOGhqiLCVCp/hM9oBN0A1bk22fIoV3wowaOyEVoc
+VHXC8uVxHOE3GmHTrW2NI2VU/tbtfrivpxF8GtQPbKiVx3mE72iEEwkv3j9v
+kUcTtD5nItoEN2LmR/Z2y+N6wn80gVqHylkTAZW/hWttJ3CaYGXJvQGff/J4
+gPAhTTCwpcOwXFwBT39cNn9IpwlUY51nT5VXQFfCjzRBYMjRmmMsBfTRms8q
+WdwELnp6ZnHqChhE+JImmF7+z+HfZAV8HTSDG2XZBNbe+vNXzlDAKMKfNIGF
+j2qc11wFTFHSyL+7twmY9yVasxcqYC7hU5ogKHF9pryJApZ7sCOPnm6CRs+V
+tpZrFLCF8CtNYN643NfHUgH7h2XurvVsglCdZ8ezbRRwlPAtTeCrGDUguVMB
+FU6NHtMOaoKPKX+0TR0UaP6lCdqzT/+9fFgBp7Xy1ot9aIL4GRXOMScVcB7h
+Y5pgl4nzzY4LCmiyu123Npn6vfL7JpPdFGh+pgls57wLsPVSQLuiGtmk/CbQ
+aVT2vHlHAQ8QvqYJ3CQMmImBVP4situCGpvAX/7swvanCjR/0wSO1ct4qq+o
+/EF25rmBJtDPHVqzJlwBHxM+pwnwvvLsU1EK+HYBvLWWbYbKPT1vn35RwGjC
+7zTD20yx6B+ggPAh1nPuxGZQLfpm2ZWhQPM9zbBH4H2O9ZvK35RwR4W5zWDL
+rNU1KlGg9a9mGLo45+iOKip/j56vajdthj/dXYYujQooYvM/PqgZnr7w83rW
+QeVP6YFWhm0zHF7ov+cbVwHVCT/UDJfg0LfyIQXU8bgt+upQM9xJvfuUP6aA
+BoQvaoaz868LlaQVcfmwW53b5Wa4fxVqpyspohXhj5rhkFv6iuUqirjj5DnY
+dacZJnhxNLdMVMSDhE9qBvltcy4dnqqIZ1qOhCwObYYdeg+tXHQVaT2uGdyj
+8p/cmaeIvrvsXcfFNEOjouPe4EWKNN/UDE6VZY8/LFfEd4VbdvHSm4ExK27t
+FzNFjCH8UzP4e3sdSbNSRFy73ji/vBkEgjLhT1tF/En4qGZY0LVQtGSnIlak
+rBgf0dkM9fYGZyodFGl+qhmSvu+wrjusiDzDhX+9R5vhwIhpcONJRZqvagGR
+k1esmy8oosIHvfKDzBaoFH12svmqIk4g/FULjFdeMtDoqYjTp0xJWDWtBZzO
+dNfX+SqiIeGzWiD01kaDqgBFNH007uFkoxa4On2kueQJlT/Cb7XA1jDfkV8v
+qPwpKpwTWrRAWuOLUz/CFGm+qwX2zK8wS4xUxLM3RG0rdrXA2dOllz7GK6I7
+4b9aIHV0kWxIsiLe+TtgkODcAtMT3/Du/FDEJ4QPa4FjUt+NXHIVMcy5ixl4
+vQUG8gyLnQoVab2yBXw83mba/FHE1Ob6vpMPWkBRPZWxrE4RfxO+rAVWyOp/
+mtaqiJU7y/Kswlrg1vbQELkeRWwl/FkLRN3Huh6+IvILfn7S/UY9/1xxpmBE
+EUUJn9YCJ98U2kaLKaHi2u93pH+3gK/ZTA9/WSWaX2sBnQN/x04wlHBGSsKx
+proWCF/5N2OdqhIaEr6tBR5F1JVN01BCU8OI9am8FrASOzxPOE0JNxD+rQUq
+9KwKi/SUcGf4S90QqVbIeG2RGGagRPNxrVB3YWLzlcVKeG5ykOwV9VZgm3ra
+Wq1QwmuEn2uF2XPWSE0yV8J7D++0bZvVCl/GNP52WCnhM8LXtUKmbJlegq0S
+hincyDRc3grZhvODr+1Uovm7Vtg9Orx+nYMSfr9+8S3TuhW0Lw8uZB5Wovm8
+Vgiy5u0qdVbCqqHjnj2OrVCR/TXp8Xklmt9rhTtfJ2zZ6aqEghP7HXMvtEJE
+UPO0CR5KKEr4vlbYc7pd989tJVRu3r4q7HYrZPX9PfDAn8of4f9aoWd7Z/HG
+ICp/OzdoeQa3gptvwHmZ50q4gPCBrRAnl2MBb5RwZcEqUYfPrTCDe8jq7Ecl
+mh9shbB/5u7TY5Rwl/niOpM0Kj+3zerLE5VovrAV5j4ydb6FVP6S58CE0lZw
+T1ObuTBTieYPqflujlBs+KWEfvOnhQy1UeNpN0zwLVai+cRWqM15am1YSeXv
+vbpryUgrfHfGzxX1SrQe3QbL2o0WuLVR+dNU3hWt1AaMmM6aKb1KmEf4xjZ4
+3Zfx8buAyt8DCeN7U9qg/nh88L5/SthO+Mc2kA4N+zwqpowC+WH1Y4Zt4PX2
+TtNjWWWaj2yD4vXbFs1nKCPjeu/QWvM2MJX6G54zThknEX6yDYqGDhnbT1LG
+mUNNZdo72mAc/0kbb6oyzVe2geD87ShPXWVcdaIiXux4G/hG6j9QmadM85dt
+IOLiff+VkTLuasp7UOvWBlZH74fNNVGm+cw2mJKyrjRxtTKe35F+Nul+G7w5
+FDN+5Xplmt9sAzulvLNZm5XRL/+rzeM3bVCt8LLRcrsyBhO+sw0yThsczNuj
+jOFmnw3Of2mDw5K3RjYeUKb19zaIWvHx5e+jypiW9IZpk9sGzdvCd6w/rYz5
+hA9tg6sL72llXFTGaoOnfXNr2qDd/fBfEzdl7CD8aBvseGBRE+epjINhfnkK
+3DYI9DXN1/VVRnHCl7bB5yUHfgffp/Kn6fWpXbwdOubmlCk9pvJH+NN22J94
+s9P1uTLqPrhyJ2NcO7TXx8t0vlHGhYRPbQc4fXrO1o/KuFr+1LFXM9thJ790
+J0Qr42bCr7bD7EgxP51EZdx97eB696XtsPujSo4PKONRwre2w734ebK96cp4
+YXCn7u6N7fBsx2XLTT+V0YPwr+2wtY0TEFmojP7HN8sucWiHpWdmVCn8ofJH
++Fjquahax6mWyl+jWdu4c+3g9Gbv6dRmZdpv0A6fLCuS1bqU8Yfd0kzeTer3
++q/InOhXpvnadii4eXZz6pAy1uTNe5v/pB2M0gWPWGNU/gh/2w7jHj7u/izG
+wME10z0jItohWXzenTJJBkoSPrcdBuJ26QplGMhMmuh4G9vBa2LijykKDNQk
+/G471Pk27lyjzEBdA9aqQ0XtcGnl5d5DLAYuInxvO0zeO9HNW4WBq8OktVa3
+tMOmzsNy4WoMtCb8bztcLRX3z57AwD0aQpEpf9vh6KAPq02DQfPBHXBR4c1d
+SS0GXgzsrxXKd0Dvt34JLW0GehJ+uANsA9XPLZvBwPtybSkVGh0QrQA12/QY
+GEL44g5o8vA2PTWHgR/cq4MT5nVAy5rJwd7zGDR/3AGq1/W4oYYMTB8odAlc
+3QFeW2yXJRgxaD65A4wzVl/7uYSBtceydp7a1gGXfrxLqlvGwE7CL3eArN7M
+Xt4KBg41JC/ZcKQDLsM5NanVDJpv7oADBsaLVM0ZyLKLUddz7YAozRkbpq9j
+oAbhnzugSKnLbqEVA/Xywoak/TpA8YzRztWbGLiY8NEdEPHh2+bNNgxcsyak
+rOllB1hK6C3bvZVB89MdIBO3aJKTHQPtvwXEp8Z1ADYEcU/tYuAxwld3wIbn
+Il8v72XgpXneD0KyOgDatc9fd2DQ/pAO8P0E2t4HGBjw7urZK5Ud8CvTM+uu
+EwOfEz67A04K9fcEHGXgx0lnbbb3dMAJySstD08wMJHw2x0wdENj3+NTDMwI
+OGywQLQTIuTLfj05y6D57k7ImrRv1tMLDKyT3ctkcTpho+5llyeXGdhN+O9O
+MParSw5yZeBfN9u+Hp1OCA+26XvgzkApwod3gqxfAPv+DQayByzychd3woLA
+fdPveDFov0onfMpw07vpzcBZx5Z/CrPshOj5UZruvgyaL++Ew2WJ4hfvMdCs
+wfCO595OkAzZU3biPgNtCH/eCa37DzxxfEDlb7vuMYfTnZAoCLS0C2LgccKn
+d0IgI67b8imVv9+a65d7dsJ4h7uuy0Oo/BF+vRPu3+oY0X9B5W+1iu7EoE4Q
+Ywc6TXnNwBeEb+8Ey2tb0xjvGBjxVU72b3gnLF89Kj/2noFfCf/eCTHJ21d2
+fWRgpr5IW0lyJzxdYXiwPJKBxYSP7wR1pv2FtGgG1r8VZETnd8Idx4/nIuKo
+/BF+vhPC9nXYP/zCwOGJnW/uNXbClcldi65+Y6A04es7wS3cQ+iYwkBOQJ3H
+sYFOeDd889O6VAbN33fCfmHO+rk/GDhHtnS/hWwXfPabWsLKZKAx4fO7QNXD
+aZ0gm4HmbrkrdSZ2QXzQqQ+lPxm4hfD7XbDmmupQfB4D9wlwivjcLmA3zNd/
+WEjlj/D9XaC4+YXN2RIGXj4aL1Jn2gVxW4wdNpczaP6/C7QP1+ycXcnAwPoP
+tUm2XSA7cGiFTA2VP6IHdMHD7fHKDXUM/LTtRcrjQ11wqyYs+2sjg9YHuoCZ
+qXnifgsDs349DD5/uQtKVv7759TOwBKiF3TBnzOTz5t0Uflb5etic6cLLhx3
+/sPqZWAP0Q+6wNLwl04Ll4Ejidd26od2wfQUjT1f+AyUIXpCFwxwLdy8B6n8
+6V9YohjTBdHvFty2G2bgFKIvUPMPy746Q8jAuW+PqXekd8G5iJ5dA2MMWm/o
+gpx9d6eliTFx7USHoYzyLnC2Dyi5K8mk9Qcqvwvane1kmLjv/rayV51dULPT
+haclz6T1CCoe0yX2nYpMvCJjFe8+2gVXTJnx0Qwm3iL6RDfsf9/Hv8hm4oOr
+Kx/sZnbD6risiSbjmPiS6BXdsND/9mwxdSZG8o3OLpnWDRXbZ0xPn8Ck9Ytu
+mKf6QPamBhOzjsy2UTXqhpMZP4rNpzBpPaMbfm38eEt6GhMb6rQM+BbdYONj
+qp2hw8Qeom90w+flV8JvzGTiv61qzIJd3SCcslltxSwmrXd0g1/JtxMjc5g4
+7pdiX4RzN0BnbETcPCatf3TDu8aFJScMmTh3lXje7evd8HfmsmYdIyath3RD
+jNqP6urFTLRIHIo49KAbOgayUgKWMnEr0Ue64faQxa21y5noMLfHd3VYNyib
+mC35Z8rEk0Qv6Ya1xcnFn1Yz0eVN49Ep37qBERu1zd6cSfu7ukHi+9Q0xjoq
+fxP+rBv91Q2rfo9TRUsmviJ6SjdMCLxrc2IjlT//3zMr67ohPfHexQnWTFpf
+6QZWvqZXpi0Tc6R/yHzhdYOG9RqX09uYWEb0lm4QeSO9c+IOJja6JrYGSvXA
+RVVnrfRdTOwl+ksPPK73KDy2l4lC3qeMU+o9cHqazVG2AxPliB7TA1/bm7q+
+OFL5O/L6zYZZPXBuqtm23YeYtD5Dff/DjXCRI0zUr3vsobe8Bz6v+tDy8hgT
+lxG9pgdcAnPlVztT+dt6b7+MdQ88mM1XbzrFpPWbHpD3XMC8cZaJ+396rGx2
+7IHhgVDu5AtU/oie0wPz0td+S77ExKsrL0/5fqEHcNyKE3YuTLxN9J0eCBp8
+Ise/ysRHX5xFnt/uAfXtJ/zuXGPia6L39ECkQv6YtgcTP885UHsluAf2/Crd
+nuzFxBSi//TA1gVPntp4MzH39Y6U7Z97wO27QVabD5U/ogf1gEJJYo3LXSY2
+jd8UvCCtB8QiLWqV/Zm0PtQDGWeE2S8CqPz5rXFhlfbAq+ncEIOHTJQnelEP
+2ESa7vkexERVaeOdvW09cD1PQWbzUyZOI/pRD2yfdepZTTAT57nqL/k50gP9
+a+9OOBrKpPWkXujy8vAceMnE9Txt9fdKvVCufa7C/Q2T9uP1QtrK6+Plwpjo
+eHjCkOeUXvhQ9nvN/XAmniJ6Uy8Iv17dpR5B5a+WUeZg2AuKz+P3PI9kog/R
+n3rBh/nMclo0E4O2SMUvN++Ff5e36ITFMvEN0aN6YY6GXJduAhOjc0cCJ+7o
+hbeqDcEfE6n8EX2qF9R2Sy2dnUTlz5R75u+xXihICs34mMKk9apemFlduUwv
+lYnNCS3WpW690Gnc+CIsjYn9RL/qhYzZjf3TMpg4NrtqXsz9XoiulpkXmsWk
+9axesLO8vmt8LhPVXxcw/N70gvvGq+cCfjFpfasXDvnPcpHPZ6LB+MzeY196
+YYFf8snrhUxcTvSuXtgc7GAzVMxES7+k3xa5vZBVZTXteBmT1r96IXJ1dGPd
+HyYekIqO0KnphYvP0vxtqph4muhhvbDDJX5Oeg0T3Vze+Ypze+GFJX5dUM+k
+/Yq9wFyjuvBNIzX+pd8L+kT7YPGx/lB2CxOLiF7WBzkPvUfc25hoZ2jxZo98
+H/QdVDHr7mDS+lkfvFmf5769m4kHe9M4vzh9IObO/fC9l0nraX1wXy4hU6+f
+iWfCTTyMNfrgZdLO4gA+k9bX+iBg3sTC4QEmuh9I5L2f3gdavxek2v9lohTR
+2/rgC7S8SB9h4p3JhvvV5vVB/MjxszNHmbR/sg++mcgv9hVh4ZPKT4VeS/qA
+Kz/W2y3GovW4Ptj88fbjDZIsfPtw5krBqj7omt234JM0C2cTfa4P9PafTleQ
+Y2HM5tdR+636QL3Bdu0RBRYuIXpdH4SKV6VkKLEQFTSnFG7tg7wGy5laTBat
+3/UBZ1f3TRc2C39lPvZbYd8HNxQkKktUWGhD9Lw+kNtcrjVHjYUV1zkikYf7
+IGFN9F7P8Szaz9kH3T8q/CsnsrBl2T3nSWf64MXBp4n6miw8TvQ+Kj9uJmUe
+U1jIG5Kt9XHpA8/Jyp1lU1m0/tcHZ1TsBDN1WCgS67Fh2LMPspucBi7PYOFN
+ogf2wePfPj05uixUdB5LdrpHrWeuco36bBatD/bBxjur0g/NZeF43cuzy4L6
+YNeV869j57FovbAPfGOHrogYsnB6M//Zmpd9MFFxguX6hSyMIPohNX+luSoP
+FrHQMNRZIfZDH5zle5VVL2HRemIfOH4+F6C9jIUrdnZc0Yrrgz1NGyyOLWdh
+BtEX+2B708G/UaYstBp3oNMvpQ/6Y1mvB1axsIjojX0QJBdmscSMhTsKaneM
+ZfZB9FrXDpe1LFp/7IMf7u1eKetYeMh3R87xgj54emq15pgli9Yj++CYV0uM
+yUYWnjEvWVxV0QejJTPWuG5m0X7XPsidcqDoqw0L3cU2vV/X1AdTSwR7Brew
+UJrolX2wSWJhm8F2Ft5JzlFL7O6DmKPXnI/vYOF/75P0QecJQ8HbXSx8enHN
+remDfdCr+vFS7R4WTiF6Zh/ojzMTjtvHwnfzcfCBCBfik+3drfazcA7RN7mw
+XGqn+I0DLIztWXJIQo4LO24HeiUcYtF6Jxc8vI7LdR5mYer7uNLTbC6sLje7
+N+kYi/bfcmGl8JrKxhNU/Tnqm9VP5IIT61qw20kW2hI9lAu8wrfTI0+zsFLz
+Q9xGHS48eLQ1tvosi9ZHuXBjC3+V/AUWtlVoa6fM5cLD4KZSo0ssWi/lgt1T
+3+P7r7CQ/yA0cNZiLszgWMvcdaXqj+inXFh28Om7BDcWim6eIPF0JRd+38xb
+X3eNReupXFCT2iqQ9mChksLDM7KWXLgq8ej1HC8W7Qfmgr/xiJ3tLRZOyGQ0
+XtjCBb2hTpVLt1n4guitXHAfX1T+zJeqv+s+1i17uDBbZcIruMui9VcubOia
+c67ej6q/ZVLfbZ24cNvw8kaxABatx3JhOuuwgdYDFpoOuc9LO8WFCYucNEwf
+sWh9lgvjW5vYex+zcEPMSOi8K1x41WXJdnnKwmKi13JB5aXSpKBgFu48cZ4R
+6sGFL51B82Kes2h/MjVfo52bf72g6m8m103pLhdCXdNdWl6xaD2XC3eXro0d
+fcPCs01He10ecWHcFdshlTAW7WfmQnv6TotZ4Sy89rxlT2coF7hz8t+ZfmTR
+ei8X9llO42z9xMJ7O/b9tgvnQopR7t3Dn1nIIfovF3p8F6m5RFP1p1K1LCuG
+C6sO132+E0vVH9GDueB5xMguJJ6FYflbIxYmc2EkIpr56QuL1oe5cCUvsyLp
+KwvjfAomvsngwsm2rticJBYuJXoxF9ruBoWWpVD1Z2bpy87nwrNi05BGZNH6
+MReG19h/6vnOwjzRzJFrf7ig3360YOgHi9aTubBwWbW0WCZVf0mmR/sauFC2
+aLa1XDaL9mNz4ZtFyWdmLlV/F5Iq9nRRv2+zcZraLxaeIHozF858UomYlMdC
+gYHRul8CLhhPf7Veq4BFv1/1v/o/LaJTxEKxnqhE4zEuKDSI/JxRwsJbRI/u
+B8OhrE+6ZVT9vZ81M1ymH5wLzd/r/WHR+nQ/BJ8e/qZXSdWf47sgNVY//Fy7
+p1W3mkXr1f2wxoCrN7OWhTM0tWRuTuiH+xfn3dapZ9H6dT945weLTW1k4YKK
+ZxcE0/phm13cA41mFq1n94PH08FV6q0sXPlAtXX/nH4Qv9WkyG6n6o/o2/1g
+dOEfT76ThRs33d9aaNQP/6bjgHg3i9a7+yEh5fO4kR4W7pJXzFhh2g9bf2y0
+5faxaP27H/Zra35u6Wfh4YybCyLX9YPsvBe6lXwW9hI9vB80grb/+D3AwnPX
+xN5Msu2H+ceyXFOHWLRfvR8eaJzdFjPMwutLXTm+u/thn1vt5tf/qPojenk/
+3E66ezxwlKq/wcEbwwf7odle6sMNETaqEP2cGs8mV+60GBufRZ/mOZ3sh3kl
+Dnf2SrBxKtHT+yHkuvV8Syk2vj/e7VB2qR+sNk0WGsmwaX29H/R8rDu15NgY
+P8OpcM2Nfthc5jyqoMCm9fZ+UJw7tnBAkY1pjQ2msb790F9/80GNMhstiP7e
+D00B/uMzmGzMC9kdpfWwH3SWvs74yGbTenw/OE1b++S+Chur7Mon+z/vh5JW
+yYcXVNm0374fpp4++HWnOhvbOTZ+Y2H98GK0X3r5BDat1/eDueoCtymT2DiQ
+92vseHQ//AiInyyuyab1+34IDBLtbpzMRjGftc5V3/pB6mFoU5oWG72Jnt8P
+O8w1ZF5NYyPDLK1mXXo/ZEVJbr+mw6b1/X54OLWheM8MNk4UNdmQ+LsfdOcv
+dzPWZeMrovf3w6SUsG2qs9iom/QleXp5P2xoC9/TP5tN6//9wBtfGPhzLhsX
+Xpg/+2F9P8SIfxh+M49N+wH6ITbgu9/V+WxcZfDpmURnP0SPvtm2dQEbc4g/
+oB/UvjZsnG3Exk3dMxTO8PuB5SJ1WXwxG8uIX6AfXi15Xlq+hI27w15dqRf2
+A+gaH4xYyqb9AzxwAKeZ10zYeGS/RudGaR68DYufbLuCjX3ET8CD6sIYS52V
+bDyv8XhHCoMH7w/0RgyuYtP+Ah6opQ2tzlrDxht/2DmzxvMgyWsvK8icjXLE
+b8CDDI+YcYcs2OgXeHfx06k8mJrtYb1gPZv2H/Dg0cP9GWJWbAzeKPtedjYP
+yg7Unc7bwKb9CDz42OSz/ekmNobLeahdXMgDecHAhYPWbNqfwIOFH6ML9G3Z
+mJA+erNlOQ+qNm86OLyFjcuIX4EHC/buW5i2jao/90uDthY80Ll6YaWPHZv2
+L1DzvzXNx3onG/ON+QfTrHng5TXMUN/Npv0MPFgd6VNcs4eN1QMnSuft4oHL
+wSOlr+zZ9PsUPDi8dKaqkwMbO6La14Qe4EFK145Heo5s2u/Ag9+772/rOcDG
+wWOOcUrOPIh+7rD98yE27X/gwYnOPU9OHWajxIzaaa4XeaD+cryGwVE23iZ+
+CB5IWM5s4h6j6q/RLrDzGg/qHml0fz7Bpv0RPOixu7vY+SQbJ4UUi+/w4cFk
+H4WcWafZ+Jr4JXiwfu3s5+1nqPqz23gmK5AHVgUeiW/OsWn/BA+W3Xqnvu8C
+G404OQ0LQ3gQ2DcTJ1xiYwrxU/Bgz6fQiJLLbFydt9r6zTseHPIMbbjrQtUf
+8Vfw4OD2lL3mV6n6uw2p7ChqPWbc0x5zY9N+Cx4IWWGG8deo+luzZN71rzzY
+bxNy59gNNu2/4MH35dLztDzZeFQkLrQvjQd2Fhc1y7zYtB+DB+4jXnY+t9h4
+4dtcxt5fPKgZzqo1uc2m/Rk8eCpRHM31YaPH+XC3X6U8eNy9rOjVHTbt1+BB
+2ItnplvusdF/nnavcR0PUMtrVNKfqj/i3+DB0lt+cvH32RjS9XxPeDsP5EY3
+HzwQyMZpxM/BA26aPYvzkI0f3o3/rcbjQdosG+Xvj9i0v4MHIcGw2/kxVX8O
+D5bd/MeDaXeWjk54yqb9HnxIvm7PzXzGxh+TGBECST4Uq3w3OhNC1R/xf/BB
+pXuwYFIoGwvKb090VObDx+QgzHzBxu3ED8IH73XGEqdesbEmQNK3UI0Pz/ef
+D1Z/w6bfl+HDzOY639S3bOzc4D6yQosPHfHMIqcwNp4ifhE+nMt9flI5nI1D
+siNHIvX4cFJT62DcBzb9fg0f/nyZG7sjgo2S6ecqJi3gw8a3e3eOfWLTfhI+
+7Bhdu+vVZzYy3fssfE34EFVzPcEsmk37S/jgdfT18fYYNmoYH00cNufD79+r
+3Xzi2LTfhA9+RiNdsxLYqDfQPOPwZj7M+rMn4dcXNu0/4UNEh1Tt8a9U/UXZ
+B5Xt4AP77W1HxSQ27Ufhw2vza2s/JlP1d6xS2syRD0sVr/usAzbtT+HDswXT
+5rQhG62nb70Qe5wP38ZG9T2/s2m/Ch8mhr8PnPKDjXsa8lu0LvBh0ulvdsnp
+VP0R/wofLANy3bdnUvUXvH6rvzsfUs1OyfGyqPojfhY+HP2+atA3h40Xt2ek
+j3lT+VtUYa7zk02/T8QH19Lcfym/2OjJNl1wIoAP09Mjx23LY6M88bvwYcn0
+SQ978qn6+/3tddUzPmiqf7jiWchGNeJ/4cPcz32ZE4qp+vNeyFn/lg/MYY8r
+USVs1CZ+GD5M+Df60KyMjR9XR91IjKTyFS0YX1nORgPij6HyyxCRca5g45cx
+Pd70RD5sGY3dI1bFxuXEL8OHr3YfNB9UszH961uHh9/5ICu4tH56LRvXE/8M
+Hy49TGj4UkfV37kphRI/+fBgcLjZooFN+2moevtRsaWikY21+s9Mz5TwYeBp
+t8GRZjbtr+HDZcUc178tVP11jouqr+HD4GMpo1ttbNpvwwff6MV7x3Ww8e9b
+/8mb2vjA+vJ34FUnG//7/yj4cGu4alS/m41SDgp+KVw+XP1y6UJyD5v24/DB
+TePgPos+NrIm3RybNcKHG2aLkou5bNqfwwdbIy+fvTw2apaLOj+VEIBEU/PP
+dj4b3xC/jgB26XVfOzPAxlkBLjWySgIwK5v34d8gm/bvUM/PLCw8/7Jx0YZB
+q4uqAmhXy9mlOMKm/TwCWFSytiXwHxvXyJ5ObpksAL2VO1smjLLxJ/H3CGBK
+4sPdL8eo+vvRNWuLrgC2XPGznCHKwT/E7yMA66jqmAgxDu51O/Qsbb4AnI+w
+Aw0kOLT/RwCrn2V0x0ty8NiSBnmDZQLQ0fJNXSLNof1AAniRNKScIsPBi4Jd
+V0LNBMBlvPizQo5Dvy8mgOth6ppp8hz0+lzWobRJAEf7BupWK3Jov5AAuhf9
+0sxQ4uD9o9Y7XO0E0BerX2XG4ND+IQF4Xoobl8nkYKjOr+xOBwEcdO3NM2Nz
+aD+RAC4GnZbJ4HDwY7354h3HBLDhRiGuHseh/UUCeF/68u93VQ4mPvselnVO
+AGLyF2JWqHNwBfEbCUD+YkNP8ngOpm9bpmbkJgAj24sfl0zk0P4jASyPze2K
+n8TBQtaXm29uCeDTbefPBpoctCN+JAE4vhsYjJjMwdpfBoPs+wLQTuClzdDi
+0P4kKv+r/nJeTeVg962Ig9efCuDq58edE7U5tF+JWs/lh9Y+1OHg8KoZpX2v
+BaChyNdTnsFBd+JfEsAlpcKHN2dyUGrs5Zq9nwTgwQnwHtPl4B3iZxKAV3aW
+xIVZHGR/nRT3K0EAqlESsj2zObS/iYp3evlDx7kc1DwXNG1pqgDmOxR/qtDn
+4FvidxLAw+O3N28y4OBsfXZgeI4A9s7xcUufz6H9TwIwtz+0eMkCDi7uvCOu
+XiyA7AeRbp8WchCIH0oAyUZ8a61FHDR/K3PmZjW1nh7pMQ8Wc+j39QQQ6R/z
+UsaYgzb7bjQIWqj5m2+YfGUph/ZLCcDPUXt29zIO2k8c3ezYR63nlazsPcs5
+tH+KGr8/YyBvBQePl11MLfwrgHMSn2NXrOTQfioBdCSzJKJWcfDSfZ6+qfgA
+zBlzbZ68hkP7qwYg7bK7nZ8ZVX9WJ0IjFQbAMC7Mfsycg4rEbzUAyRKeI8ct
+OBgg066sMW4Amvxe6Vat49DvDw7AVOv7PRaWVP2l7Xfz1RwAT2ateYIVh/Zj
+DcBGJ1WjaRs5GHG1pmd4xgC8hKwkv00c2p81AFM2uf/5t5mDXxfb7TlsMACP
+puTecbKh6o/4tQYgVG5hRZEtBzP5Rb/KjAdgw2crMNnKof1bA1DmGbLs/TYO
+FkduWGa2ZgCMfsZuYdtxaD/XANT5T5Rx3cHBuiPZH2M3DMCB6H1bWnZyaH8X
+FX+pssnG3VT9aa+eOHX7AHBPRX9P2MOh/V4DkJ1R3KhpT9VfXYqP/74BcKkX
+fXlzH4d+/3EAdj35Iexx4KD0s8UjY0cGoC/w3eAWRw7eJX4war7LF/glHeAg
+Z1vskRNnB+Bk0WCm1iEO7Q8bgOc2l57fcuLgZNbciirXAXC+s0q15zAH3xG/
+2ADkqdbNtTlK1d+v9xbrbw6Agk15e8IxDv1+5QDcdYpbM/EEB5fcmpaY6DcA
+N9eJrHZ35tB+sgH4HGPa3HiSqr9Vz2fMeDIAwzpiuuanOfT7mAOwvjebFX6G
+g7aj6kEPXw3AfM0poQrnOLTfbAA++N0rPHGeg/sSA6UlIwYgq+lZeP4FDu0/
+G4D/Y+nM42L6/j8+e5Qk5m4zKckSkbSJQrZIoWRPIUpFiZIlQilrilCERKWF
+yhJJnHcpCZ9IllC0SEkitMw0Tb/7nd/5cx4zZu4953Xe+eP1fN694a8MTXeJ
+wT9Ia0fg3U7knHBzQexuMe6jdaLh+qXMvxAx7J5w9Fsd6kQfX8ZFLdkrxv00
+Nm+GGel3QsVwuEWwzKmsEwUHHPQX7xfDQFVfrRNZ3LleHXhADKdT9pU8et2J
+BhWn/XsdJsb9tU4UZKG8O/GgGJLWys3HV3eiVR6mI2IixLjP1om0fJ7ZtEWK
+IUu6PTmhsRP9MXLgOh4W435bJ7Jynrwt/YgYHrz7NUT9Vye6NZOJER0T475b
+J4oZv8V1/XExPD3pG76zuxMZ8tAbFCXG/bdOVBB4XCGNZvPn2PjnG7cLTe9e
+VbkjRoz7cF1I/+mNlZUnxVCnttZjqUYXGvxZLcY4Voz7cV2ovPNH8JHTYmgr
++ljxWNyFvsVUD/x6hs2fqi/XhY60uq6YFieGnr1LZ5jqdiFnjVaX+Hgx7s91
+Ic2cgbw/58TQb/KrnMuju9AJ9znrHRLY/Kn6dF0o0FV7Z/IFMRD/5g/TmtiF
+ujL/2vZeFGMetgshwu/R0kQx6GeXRO+d0oXSdJW/b1wW475dF4ofMPqD8IoY
+Jvja9v2Y1YUcGzfucLsqxv27LjTW3/bFnWQxWI984L9qQRcaMs6kSiNVjPt4
+Xch0/d0Ej2timFdr8fnpsi70ilxM3U8T435eFxrTP8xBK0MMSxNyFkxa24Wm
+Pii28sxk86fq63WhlM3xX/Kvi8FjmdHDFJ8utFEaYjsoS4z7e+z3hbe4emaz
++dNOHScO7EIzh20wzc8R4z5fFxKP8SweeEsMIS+GXQjb04U8TvsOXn9bjHne
+LtREtOvcu8Pm71CCRntEF6rS3f5V/a4Y9/260P2abT7u98RwZiYZsia6C1lP
+87p+M08MOqr+H7uf35/dEOSL4UpvTMt/8V2oYpaO//IHYtwH7EJPA97+TC8Q
+Q3aexiqbK13o08Kt4xUPxbgf2IU27PIdvxCJoSAwsiwjswtpzLNuSwQx7guy
++1HuFtBeKIYyY+5kJrcLDa1xuDPzsRj3B7vQpL7Q/NhiMbz9HpJ26FEXitoT
+EP61RIz7hF1ozYpzWhalYqhP7qQ6S7vQTudtayKesvlT9QvZ/NQHBr4tE8Ov
+NVsPbajoQonTSceRz8W4b9iFalZVfA96IQaFpLXz9ccuFPlFZ0Hxf2IIU/UP
+u9BC84DgIS/Z/L3z8prxtQs92j3Ty+OVGKJVfcQuJIlWH3qzgs3fybq32T+7
+0Nx+0xP6XotxP7EL3Zi0rG7BGzEMd1w9R7eLvb8xT34lvBVDuqqv2IUeXBGU
+fn/H5k/t/Z3jnG70ZcShjZOqxLi/2I04LUUVBz+IwabIeURP/24U/22c6PVH
+Me4zdqPBZZOFetVisN/7ItZnSDe6LnN7ualGjPuN3cjjvKZn3mcxLLOay6/S
+6UbVkQVPBLVi3HfsRs5LPv9zqmPz97dwm92obrTD+duvC/Vi3H/sRj6Rc/Oa
+G8QQkGVTf2dCNzp3J2iheaMYOlV9yG50d1ntrX3fxLDH556zweRudP6yovFZ
+kxj4qn5kN5q8z7qZ+C6GIyNMC0/O7EbH4wfmr20R475kN9rn0OSa+UMMZ79c
+N+E4dqP6bMvyjlY2f6r+ZDdafNZP27ZNDFfPj77sv7QbTTisGHn0lxj3KbtR
+RKnLgDe/xZCz9IpWjXs34i9qKB76RwyWqn5lN/paIXHa+JfN36Ch+xy8u9G3
+Bz5ZOf/EuG/JXt/E6bWyDjZ/z+Pa7m/tRgED1b/N7BLj/mU3Cmq2gmPdYngX
+OdjdMIRdnwFTtryRicFN1cfsRs37Qv7q9IihYUbUf2cPdqMNnE0LPBVi3M9k
+94MfvPdGrxh+K9SmCk+w63ev/8EOpRj3NbuRFi923VQOAb33wq4HxnWjzv2h
+ZASXwP3NbmR01OrqCx4B/QN7pfWXu1GI0fh+YgGB+5zd6PTYp3NchQSQxjuP
+OWWweRFuX31FROB+ZzfS+X3J8bsaAQbf/8gf3e5GAz7kkCb9Cdz37EZ5G4gH
+weoEmCT7+Y5/2I3QL8spDzUI3P/sRsEn9p3maxIwdU3zh4Qn3ejTgJXP7AcS
+uA/K/n7buOpoLQLmS9bbq79i19d/w7O3gwjcD+1G2fu9z0gHE7D8bU3ezg/d
+aG150tR1QwjcF+1Gffd3Pk4VE7A+ZoVhU303otyWjm4lCNwfZa/ncKLPRIqA
+rQ6VcUtbu9GJkkdHg2kC90m70UUXybEHDAF7RQvViju60f6xzCaOlMA8fjea
+K9M3mqNDwNHCp8Gmfd1o56iE50eGErhvKkNar1ocy3UJiNsz69vlfjIU+jw4
+e/AwAvdPZSg9JfnvMn0Ckic9Wqo1WIa+XvnAJAwncB9Vhrof7R7+xYCAm3+s
+SvZKZUjnRqumwUgCJqn6qTIkfx9b7TWKgIc3bpu3jpChrHVvTmSMJnBfVYaK
+DQaPbDMk4Jm3cfIqYxmyzc5JnDiWwH4AGYp3HNIXZETAe4P0IWWTZOh+z4VZ
+eeMI3GeVIfWgHL+e8QR8/WwQPmmGDG0ekbN32gQCfFX9VhmaYaYMPGBCwO9z
+l/6kzJchn1CFU/FEAvddZcghYQChZsbmbwnjIV4iQ+/eRYO9OYH7rzJ00KLJ
+5bgFAeqDTleEucnQusDAl+WWBO7DytBAwRkzbSsCqOcDZ7R7yVDp4Ov7XSYT
+2FcgQxvD6HtnphAwIvJIzpoAGdryc/L799YE7svKUP/ULXXMVAImzhAMK98l
+Q4Pv0u9cpxG4PytDul9icy9OJ2CaIjTaJlyGDpyfvv+LLYH7tDLkzOy21J9J
+gMM9mTLjuAxtn51U5TGLgApVv1aGUgoGb0yezeZvW5A/c1aGgj8a1TfOIXDf
+VoY2ZNnPHz2XAM/xv2oOJcrQG05Zovc8AvvBZGjkYlFDuj2bv2afBZ1pMpTz
+0U38Yz6B+7gy9PGokfk4RwJCr34t2HBLhmiN5zP9FhDYt8Du/4M426yFBBxz
+XzOu8oEMTbrbOv7XIgL3dWUo99kIDRNnAuKZjwkzSmTodNj5qoDFBPaRydAU
+vbSzN13Y/L1ZopFTLkPu56/N+bOEACNVn1eGxKl/Gk2XEXAr+uVu3SoZenu9
+fkfgcgL3e2UopuJVz+0VBDyaP7/leJ0M3f5FbPu3koA5qr6vDFklqH8ydyXg
+ubBkZU8L+/4wtUnbVxPY/yBDbhHrI3PdCKiC6WU+/2Ro+KEdZR3uBO4Ds+tx
+4TzHci2bv5B8q6peGdrfYTAueB2B+8Fy1LrL1/GuBwF/LC3S7NTkyPR58brO
+9QTuC8vRiVlHNlt6EqBsz6ZyB8mRbaemX7AXgfvDcnQ5O2393Y0EaNwYe8hA
+IkeGHVlOnd4E7hPL0RFhsLmlLwG0d0rnSQM5yqtarBW8iYBEVb9YjhR65+ty
+NxMw0mCYF2e8HHHsLmd2+BFwXdU3lqMG//t+FlsIMP18/q2/pRzN3TnZcHsA
+gfvHcuQpC/x0Zyubv3PEnJrpciSZVXDo3zYC95HlSLbGc7x5EAGOS2LuONjL
+kbu46EXgdgL3k+Vo7+cRXreDCVippTEif7EcBXd+kf3ZQeC+shxtXDjnsOku
+Nn/PImINV8vRzlOp2tt2E7i/zH6/4dKzN0MI2BbB4cd5ypG36RWyfQ8BMlWf
+WY6OH/l8yiSUgH22IduEW+To4ONVGgH7CNxvlqPqCRv3Z+9n89fTURe4U44S
+q1z+tB0gcN9ZjjaFBawzDmfzdzfAuf6AHEVcH1Dud5DA/g05+hGzw+pGBAEp
+W3+A0zH28yM4Sa2RBIxT9aHl6A7ZoTbuMJu/cV4m6LQc+b9O9tt0hMD9aDly
+2Ov2OuMoAaipNnH8JTnS6d5s2XKMwH1p9vs/Dzs/JoqAF1dctS5ckyO1I096
+vU8QuD8tRyP6Z65Liybgg9u7UPWb7HqNlz5piiFgjapPLUf79603Gn2KgEba
+uW1nvhwVzX510iuWwP1qOTILvSFLOc3mr/K5W9NjOUprtlvfeIbAfWs5eqdo
+Kh8RR0DfCbv/lv4nR36/PtlsiCdw/1qOxt/0u3H1HAED5hfaFL+TI3lb07CG
+82z+VH1sdn+0z8QNv0AAI7S5blrL5nU60va4SOB+thy9XpkTnXSJgFFwV5r0
+XY46lTe16xIJ3NeWI82jmvHDkggwC5l4TOuvHJUNHmCw9gqB+9vs9fp13kq8
+SsB0y+vyvQo56j+OmPclmcB97h5kdyGnXjeVzV/7KN9WYQ96XjYo3P0agfvd
+PWjC3r1jLqWx+bue9GGVVg9ysJn2riadwH3vHrRi/vkjQzMJ8NqoY19G9yBO
+WtUst+sEtKr63z1o7xBb4cUbBAQOj8ubNLwH3exHlVdnEbgP3oNsCq9e0skh
+YH+NtmGqUQ86bz5ux+qbBO6H9yArunP5hVsERMUfjxNb9KCTX+xmVN8mcF+8
+B80rWG+mk0vAeRc1tfBpPWj6pZPGq+8SuD/O/p4ZYXbhHgGpA8OC2+f2oMXf
+TWdU5xEwXtUn70HrWoxX6uQTcLtM0bjGuQeVDVsQsvoBAVNU/fIeZGlRce1C
+AQFwcMfS8lU9aFK08nP1QwLmqvrmPWjRUlp/KCLgv+l/im029CDGb52/GxC4
+f96D3EJ0Si8WEvBRvtk8049dz6/HjD4XEbiP3oNEz9sTdIsJaMptusrs6EHV
+g2PoNSUE7qez++OelpT4hIC/AR5DDu/vQTFaeybVlhKwW9VX70Ef5zl+HFZG
+AGdcTVjnkR5k3rry6LpnBPbD9KB7CY1zrzwnQLNp+Z8NsT3o6v0JQxpeELjP
+zu6P985Wg3ICJFder6u80INGHeur3PCSwD6ZHqQoFjxLecXmz21BxYzUHtSx
+q7T8WwWB++496H55ZP3oSgLM6ae2Odk9qCjtgNDnDYH77z1oZ1bnpIy3BMyo
+nJmje5/Nz9wRu3+8I3AfvgdVJsx7Ma6KgAUnHupFFfWgljNJxv4fCNyP70Ev
+ajcnZX8kYJW9VXTPc/b+vjeNaP/E5k/Vl+9BQTWL7pvWELBRcFvp87YHnbtR
+5x70mYA2VX++B0VqfCTufiEgCI33r/rcgzQ3bf/cVUvgPn0PIni/8ybXE3Bg
+d1qNXXMPyn4akRLSQOB+fQ+asmtb8sOvbP4sDBbktveg0Jj23L5GAvfte9DT
+BdM+zmhi8/f7YoFBD/v9t2O1DzYT2I/Zg/gR41Y/+U7AtUx63CmBAs1wmJXf
+7webP1UfX4HcnAaPc2gl4I5XbAJnoAJpXqm8GfWTwP18BZqqXejwqo2AQv2B
+GlsoBZpsKpYP/k3gvr4CodWih0vbCSivPry7ZpgCjbn+6nT8HwL7eRToYF/m
+gU9/CfgUx29xGKtA2bJX4bodBO7zK1Aod2fCuk42f4tDV+abKdCbGR+eJncR
+2OejQE/Sxw1o7ibgn6bsqeFUBbrbmu5pJCcgRNX3V6DAsMNv/XsI4JYFWsXZ
+KdCqa32utxQE9n+y76+2k3X0EjDwYNs1oZMCxWyMvTG5j8A8gAJtdhm6ay+H
+BOl0HypopQKVb5GsLuSSmA9QoMsVsEzIJ2G0vCGy3kOBaBc7H3sBiXkB9vOx
+tbFRQhLMc907nTYrUGN38bsKEQkPVPyAAg27YWhK9iNhRsAHT7RdgTSSbFNX
+9SehVMUTKJD42AyzRHUSFhoteTt+nwJlNa350KBBYr5AgbbIXsYbapLg+q18
+9oXDCmRcVrLVbyAJ9SregF3vUds33NIiwTvJ/o76KQXSTdXe2jWIxPwBe38p
+5XE2g0nYvrrYYFeCAlnO/VJ1YAiJeQQFOrA92LxUTMIBanpsU7ICLa57kjGA
+JDGfoEAVPL7NYoqEE6/v85ZlKZA349YcR5NAqHgFBaozUsupYUhIiDLfVnxP
+gQ73M4s1kJKYX1CgBXMGn/LRISFtXnadaaECfZ7+7nr2UBLzDOz6Dc1p6NAl
+IZc/1jnpmQLdfPHK0mYYCdYqvkGBbHg+qWH6JBQ9SgatN+zv26Sblg0nMe+g
+QNGFhZ+0RpBQvkvPJLSG3d/L9UnLRpKYf1Cg1hzriIujSPhkfj6x9ZsCNZ9S
+RHwdTYKHiodQoIzsJclGY0ho/iXWcv2tQOsmB9ZuG0vCFhUfwZ4Po0NT8o1I
+6MiIDi2TKZD5fHSLO56EPSpeQoHqDebb2xuTwPNSb5vE70VNWsuUMRNIzE/0
+os0TtF9XmZCgpR/hljqgF7n5pRcPMyUxT9GLToY6vvM2Y/NX3fdCTPaixrrR
+ajfNScxX9KI1td7LZRYkjInbbROu14sco2xKZ0wiMW/RizY8ebnsqBUJFos7
+MtsNe1GL2SJR5WQS8xe96Om8prdSaxJmagZI15r2onszi0s22JCYx+hFq8YO
+fndjKgmLnrYcLbfuRWsrFaKuaWz+VHxGL0qpzl5ha0vC6nBPuc2cXrQkZ9nz
+IzNIzGv0ItFBnTWVM9n8Tav1yVzYi+pWjBMPnU1iP1UvKujJafGaQ0KwbNUH
+ZkUvmi58W59jR2KeoxdxPxYp5HNJCLvzdt7hdb3oRkay1Rx7EvMdvUgvKPls
+9HwSorc45XX69rLz5Af50YHNn4r36EVh9cn3Rywg4cLY56M9g3rRgn3doVsW
+kti/24teCwZtzF9EQnrjnLjKvb2o0l+8TehMYh6kF/WLNL7stJiEu5dBNPNQ
+L7KtjWxPcCHBRsWH9KLw2jleTUvY/LlaB+fE9KIJ92KVpstIzIv0oqEe8fmh
+y0l4Rd5t1D3fi+B6yPlnK0jMj/SiOSael8hVJFRXmCyNutqLbrvseeLhSsJ6
+FU/Si7Qcmwdnrybh+/HM4p7rvWiXzqvwHjcS+7h60cKzq5h5a0jonDvK3Pdu
+L5q/Mqvy9FoS9qp4E3Z/Kttv1a0jgc9PulqFetGUmQ73jNeTmD/pRYk5tbUh
+G0gY9Eg6ZG4Z+32y9xPKPEk4q+JR2OstWZZMbiRBZ9fZsNzXvSjmRNi0Dd4k
+5lN60bmE/cqbPmz+zLX/GFT3Ih1B8Nc+XxJyVLxKL/qUdej3gs0kWP46tu5U
+Yy+yWfxx+AU/EvMrvcgn6FRIiz8JszJEFZxfvShg0xu5VQCJeZZe5OlWfPnQ
+VhKcPA/Ybulm19s20u/dNhLzLb1o3qep60YGkeA2TJFdw1Wi88UD9wRtJzHv
+okRN63UePQ4mwfdTsJ6jhhLNaj8yeshOEn6r+BclOrJ9d57HLjZ/Z9tP5P/v
+ORLPBm29tZvEPIwS/Tq/xZm3h4Rw581KQ10lqvC4v3LxXhLzMUq0bsugo1dC
+SYgZ0OQXN1qJ7L+crf+zjwRKxcsoUd4V//WzDpBwsXRdjXCiEh0LuT/gdBiJ
++Rkl2tgb//lrOAkZYdWOQVOU6FOU8QeLCBLzNEp0YEOCIjKShHtTlxfUz1Ii
+3WMc+6pDJOZrlKioJvTRmCMkFHdXGDkvYO9XfZJbyFES5qt4GyU6FWs/8r9j
+bP5uOyagZUoU+PwdqRdFYv5GiYQflBO3niChxr9U3XitEmXn1gU/jiYxj6NE
+9eMTG4mTJLSMmbn7go8STa5bFup9isS+NSW6MNNwxoNYErq+FnxXD1Qit3hT
+44Fn2PypeB0lWq44PWfdWTZ/lyet3LVHibRX+x+6E0difkeJqnfW/FU7x+bP
+9dbTpggl+tvEOeZ6nsQ8D7ufg7scsxNIGEqOt1oWrUTTLT9P5l8kMd/Dvr/h
+jfPySySMrbh2rTheiZ6Fd53OTCThpor3UaIdCz35nCQSJh0fTpldUaJ2F+uL
+S66Q2H+tRE7dZz3Sr5Iwe+7FyKRMJYoNOuOiTGbzp+KBlOjRO5cAl1QSnHl0
+p1auEvVyf+WlXSMxH6REkBU+XpnG5u/hKc/QR0pU42tc7pJBYl5Iia6f00hI
+z2Tzt1PzbWupEo0NmnS67zqJ+SElIvuX31+aRcIOs8OzXSuUaPDUHxrXs0lQ
+qngi9vufZRzl3SThYBvvTtlHJaqbaWi58haJ+SIl2jVg38Cc2yScTN9rYPVV
+iZo3PBuilkti3kiJNNaOtHO/y+ZvQ/ep1J/s/jRnpOTeI+H/nzehREPQdlPN
++yRk6gXyiC52ffdcbt2QT2IeSYlaTsx5U/CAzd/Hn1vDOX3Icuq+7+KHJOaT
++tCe5I3j/B6x+TvjXdfevw/53qcvliA2fypeqQ+NnHfdWreQhAqnBqe1Q/qQ
+xz/rfjuK2Pyp+KU+dGxyHe/VYxI+a7hDuU4fqvLNNRpTQmKeqQ9tvV0RFvaE
+zd+TqglTR7GfJxf1qy4lMd/Uh45usSuwKGPzd8AlMXNCH2K2vboU/YzEvFMf
+WpAhzPn+nATh1PKBksl9qHiP8tes/0jMP/UhNKrS/VI5Cdrd80IPz+xDsx8l
+KLpfkpiH6kNTTQPKXCpI0L39+GenQx86Nd+7JOs1ifmoPjQ/LeF3/zckGPlP
+c/Nc2ofSS/QdPN+SmJfqQws7td/COxKsxtx/UenehxZtDD+hU0VifqoPrdaL
+2rHzAwlzvprZzPTuQ2+Vc2LefCQxT9WH2lFxlUk1m7/ErMycrX2oslPPOaqG
+xHxVH8rR9pd9/0zCmlVjpHohfahpRUmFXS2bPxVv1Yf0fll/vFpHwmYi+WjU
+wT7kU9E0mNtAYv6qD618/znE/SsJO1/pynui2P26bUkUNLL5U/FYfaikXfCF
+aSIh4tg5H9+4PqTR4/5hRzOJ+aw+VKq9SvDuOwmn7MQfqi73oS8uGmvNf5BA
+q3itPrQl/1DrqVYSLnGj583N6EONzNf09p9s/lT8Fnt9wy3inX6x+Svon5d7
+m91P9+h72b9JzHP1oSmWav20/pCQt+Pg6BEP+5Bma84R/78k5rv6UNGlyzbl
+/0goMe07e+pJH9K1bxlm3EmCg4r36kN9hUmWJ7pIeP1zl4j7qg+FFXzc29ZN
+Yv6rD0mepnUulJPwJe3f9i0f+lC2k15Sdg+JebA+dP+S895BvSS0rt/SWFPf
+h9a9X3xsq5KEQBUf1ofOKSyev+4jQabbssSxlb3en5pTzbkU5sX60HDPn7Vn
+eBQIP24ozu9g89j77W4Xn8L8WB/qMNJEK4UUDDnzxWxMH/v7s7fJHogozJNx
+IHynoZduPwoGGd6ocBBwQOPdDOGB/hTmyzgQY//qXYM6BWcjfPvz+3PA4GLj
+R7sBFObNOPBoZ6x2hiYFQxtGz8jX5ICrx4/dmloU/P/zYjggfqQktw6i4Kpt
+486tgzlgU/658Y02hXk0Duy5faHJaggFYy5dyTGkONC+2V7nopiCnyo+jQOz
+qjrCuSQFOT1rmr9IOVB685auF0VhXo0Dp0/HtD6jKbBcOXRY3DAOJMsTf06Q
+UJhf48BPm3b9M1IKHt79uHzhSA6Exp4+ItehMM/GgTji/Ii1uhTMEsdHC8dy
+4Pl97b8lehTm2zgwZJlGh5E+BWVbl5YWGHPgb+LZsaeGU5h348CxcY9juw0o
+cHo5uC/QjAP5AZdN1oykMP/GgUmFU7lPRlHwbtwrSyMrDmQszhCON6TgnIqH
+48CzyR1TT4+hYPXRKP96Gw4Ebxqf0TOWwnwcB14VrJu/fhwFDU3zU8/NYNe3
+4bLu8/EU5uU4MGi7bJTZBAp85vT77GTHgf3Nu9YnmFCYn+NA82mTN3xTCn5f
+KSH6OXDA+ZbRrs1mFObpOJC6ctfit+YUBHPCF6BFHKg8OHrtNEsK+zA5UDNw
+9pVrkyjodbON+N9zZxS3q2ntyRTm7TiQp933ePcUCsIf9BaMX8kBzrW8q1+t
+KczfcWDeGzJv4VQK1JkH/766ceDyp1Hc+9MozONx4GVtR6iBLQUxwTvHXfDg
+wNbvMRNPzKAwn8eB/jUCRjaTAuqNxQaXjRwYEeFusWE2BR9UvB4H/KIyIl/O
+oeDixL8J6ps58DS8Y4D1XArzexwIqHJ4mjqPAoPonMrCADbfn+/nDZ5PYZ6P
+A0/KHD6HOlCQ0eqnsWs7+/nbmpN/OFKY7+PAqTMaZcsXUmAy32iWyW4OHF/g
+fKJ4EYV5Pw6kJbQcnuhMwb1rzbubQjkw2aAh79JiCj//gQO5vna6A5ZQMFWY
+eutSOHt9n/Tu71pKYR6Q3e/Hu480LaPgscf6lqWHOTBusUf00hUU5gM5UJdQ
+9+zxSgrmw7DhmlEcMIzn25i6UpgX5MCC4ZX1l1dT8Gro55XFJ9nrl61CWu4U
+5gc5cA5SKkLXULAsJOFkyFl2f5UPmba1FOYJ2f3Ry4pz86CgpmpFmWkCB5Zt
+3e/w33oK84UcuGY43WKqJwUbLEluSyIHFrn9W3LDi4JRKt6QA7UaGRlDvSlo
+ia20Skpm5wnha3nCh8L8IXv+bad1K30pCGiPCViRzp4HS5PfWzZTYKbiEdn9
+PmSvW+dHQdfChWlaWRyYkRYbtngLhflEDlj/oYYWB1Cw97pG7ZNbHJAkf/lp
+sY3CvCIHvtT9/XctkAKBehkVeo8DjXfcTCXbKexH5YBcY1Tq8WAKjm6MXGRR
+wIEdD5Y69e2gMM/Inqe9HSbbdrHzr2TWoVbggHu75rzG3RT2qbJ5uXjtzIo9
+FMQN56KrJRz49OMZ82IvhXlHDthN2P9m+j52/u1/1LnqGQcaLr0sub2fwvwj
+B3atKPw5OoyC5JoQ48Ev2etf6+Z4IZzCPCQHrC5n1g2KoGCs9WSvskoOFH2/
+fSMiksJ8JAfM/u3NkR9i519858X9VRy47abdsuUIBUEqXpIDozO3r2o8SsGk
+zttvJ9VwwGHeLa7rcQrzkxwoO1T+5VUUO/9ctmr+qmPP/9WKf3bRFOYpOZDz
+oMj2YQwFs28az0n9xoGmqrTHZqcozFdyYHrL0b0ZsRQ8G9i6x+0HBzY+2eKv
+f4bCvCW730buZ+PPUuC8Of2O+DcH7NHqDq14Cj+fhJ2fWtuOHTpHwfsyr9bn
+/zjQE528ou88BedVPCYH2i7JV++4QIHb6BEjwmUceLx/d/yvixTmMzmw2GOs
+hnciBV8P1rlOUbLnb8Wg3NrLFOY1uXByrenZlVco8K2/FNvO48LjNWezXl+l
+sJ+WC3UGM5UOKRS0T1/9PE2NC7rrrSNKUinMc3JhQsGhWdPTKNhxkeGvHcAF
+/7vjJt9PpzDfyYWGwgleZpkUKOXvplDaXPCadPbZjesU5j25cGOFp5dhFgUH
+V5zeVk5wYb3TlclXsynsv+XCbNPFs3VvsvPvrnNGhIQLY3t2RZ67RUG5igdl
+X5/U5RB3KDg5RKveRo8LaY9n34zJpTAfygUfh/ZzA+6x82/rC+afAReynxnm
+H86jMC/Khfn//dIW5lNwqfyIc6YhF3Kezk868IDC/CgXtHSmeSsLKBgxbu4R
+j/Fc8B5U7hXyiIImFU/KhctVygvdiJ1/RwSFjCkXzp18ox5cSIG/ii/lwqyZ
+Ljl/iyiY2FTY/cqSC3c+hUZtLaYwb8oF28muV36VsPNv9j6Tw9ZcODSstc2v
+lML8KRdiZlgEtj6lYNoVG+/ptlz4bDllwqZnFOZRubA/Qjm85TkFxX2yxM7Z
+XBh3MWKhz38U5lO54Fz1+mZzOQUObvfe37Bn39/z3dH7FYV5VS5U573Qa66g
+oCI/SMtzIRd2p+8b611JYX6VXd8lQr/mNxQsp03n6rhwwTRjbZP3OwrzrFzQ
+PHz63Pf3FHze/iu0cjkXDuReDff9QGG+lb3fxpiUHx/Z+Vd5/e7R1VyYes+9
+b3M1BYYq3pUL0+9onWyroeCHiW/bjHVc2L44dVXAFwrzr1xw/Dti9Z9aCrae
+GD1K5smF7oaoM0H1FOZhuXDQrUHU1cDOvx9f3XJ8udB8cHTOrkYK87Fc0Nu0
++qTiGwWh9lfObNzCBSvNgxn7minMy3Jh05LLPbwWdv5dW/OfbhAXJpK3D0b+
+oDA/ywUn8aM56j8pOCYYKny3kwudiqJpJ9oozNNy4anv4y2Df1Og7fHRJmov
+F3q+QtXZdgrztVxY96Vgl/QvBfEoLmh2GBfC8vMWX/5HYd6WzePj3PUjOynQ
+Hbr0ek8kF7Qtcq9ndFGYv2XPo0XeeBMZBSm7B3+9dYwLtR/Qt1w5Bd4qHpcL
+F4b/995aQYFR1UupbwwXFitrOUW9FOZzuRA/T7FuXh8FNy2iXPTPcGH5M72e
+cg4N21W8Lhc+THZ8sZRHg1Xs/GNV59h8TQl7W82nMb/Lngf3InKDkIZHv9Ue
+R1/iwqQRmjE/RDTmebkg6vaYEdiPhjkLS+R2V7kQbF48tqc/jfledv/1JzqG
+a9DwPDPMVHmNC2870lM0NGk4oeJ9udDyxnjS6YE0LO5v65t7nQuDKhBn6CAa
++5+5ENmympeqTUOVV2/S5ptceKglspkwhMY8MBf8hj64kSemwb04/4PBXS6k
+fA5ZPpOkMR/MrteAeZNfUDQ06u/U/pTPBdJJz2UZQ2NemAsvp3FTaiU0bNpn
+YX8KccHc/afxJh0a88NcGDW84XfHUBr+VP/Zb1/MhXk/61r269GYJ+YCo/1d
+Z4A+DTun5ORxyrggKO+KjBtOYx81FwJcNMcYjKBBGef3+95/XKhEhvzskTQU
+qXhjLpQOsyesR9MQ0THWcMtrLtCBfmtKDWnMH3Ph/ZXTdS5jadBwaV4z6j17
+v8ceJtQa0VCu4pG5kNX1LcpvPA2nclLiaj6x+U/SypMb05hP5kKHmaXksAkN
+9MD1L0/XcmHh3JV3CFMa88rs+fDcEXnVjIZLm4apOTZywUUUHTPRgsZ+bC5k
+xF56jSxpGFlWM43fwubdM9lxoRWNeWZ2fpZcUlZPpiFzVEJwfhsXXrcca95k
+TWOfNvv3os9HvceGBtODK7K2/uUCIZ204eg0GvPOXKiZ297B2NKQV0d8M+zm
+wrfQsyh9Bo3921zgZIwonDyLhunTK4fWKtj7v3pOXjabxjw0F35Y/N20yo6G
+kgsxS+O4PHilM4H4MZfGfDQPBgkcOkPsaXCQL4haKOLB0sOztTQdaNBS8dI8
+0JrErL3kSMPr5RolQg0ehJ940jxhIY35aR7U9NqnFy6iYUXuU0WBFg+mNV5O
+cnGmMU/NgzdnnlY0Lqbhy+BI8yAxDxqcH03euYTGfDUPqhz3fVBfRoNnwKzN
+RgwPVmf2u3lxOY15ax5sCF8OJitp+PEfJ7l+KA+mVnurFa+iMX/NgytZkyOX
+r6Zhm9GjT+eG8+DF1yc2P9xozGPzYO8qTaN9a2joPhwyxHk0D8ia/s5D1tGY
+z+bBNaP7Wdc8aNj3zcqh3zge9HRSs2020JjX5sGNuuHaFZ40CGd3hiETHpjv
+f0d4baQxv82D7hUTFvd403A86XZ+sAUP3L6OeRLjS2OemwfvjxdtHbWZhsF9
+AX/GT+FBV1bHkgI/GvPd7PWdQ1sWb6EhfrXx2MZpPPCO0ilqDqAx780D4aN+
+jvu20aCX/2PdhVk8UDjt1ySDaMx/s5933ye6sZ2GFCr9nMs8dj9+cyfN3kGD
+t4oH58E+oSDx004axm33qlBfwIOBxw9MC9xNYz6cBx1ewYTGHhpuvTboX+TM
+Xv+mzwZX99KYF+fBlHW5Ptb7aJhsUme7axm7P/yub5X7acyP8yCk71LC5jAa
+UNSlnSauPHDoTDskPEhjnpwHR0IGZV6KoMHuh2tO0xoeaJAVQqtDNPaxs/s1
+/VtcxWEaXsxjmi9t4AHfy2HdpqM05s15YPi9Z53wODv/Ut/pLfPhgebQv+cS
+o2jMn/Ogcd64/lOiafjAP71c058HK65dyX4TQ2MenQcnvZyjtpyiYc065+ji
+bTxYkGZ2Rf00jX3vPGg+MLst5QwN3x4NLA3ZwQN/RejWGXE05tV5kCH+bFQT
+T8NmnRdK0z08MH2weuiu8zTm13mw+03HHOICDX93HbFs2c+DWqvklJsXacyz
+86DgjofNwkQadr2380+K4MGmfuPUf1ymMd/Og/XN8oGHr9DQZy5IXXGUB9N7
+y+aPTGbnn4p358F/DbEPi1JoiDxVWKMVzYOh4102rr1GY/6dB9HuvHnKNBoG
+/A4lSmPZ89WesOZCBo15eB7MWSrJmnKdnX8LbBaExvNgzY8dZh9u0JiP58E6
+jexfO7JpYDJlBy0u8oDi5teTN2nMy/Pg94DYAXdv0ZDY715BaxIPBm8w91t6
+h8b8PHv9JvGCjlwaRnkF/buayoMLMXmvT9+jMU/PgyXx0e/N79Nw/fHEca6Z
+7P45UUPe5rPzT8XX88Au1z5iewENZvq/1g/O4UFk/jBj8hGNeXsebJx7VvMe
+ouF+6PWEsjvsebRKNlhRSGP+ngf2a2cHyIposK32qdx/nwdbIgL+ni+mga/i
+8XlwacPwGzZPaHgyebSG1SMe3Mp2ufi5lMZ8Pnt/msrH+8tocIz7OvNXEQ+0
+daT6Bs9pzOuz1785+U7JCxoq/yXtTi3lwdHI2FDvchrz+zzQb64L1XhFw8rF
+a265vWDng+BIblYFjXl+HsTPChu+uJKG2mydFnEFD34ISks63tCY7+dBwgWn
+xHPvaPDS/Kj/4i17vpfQ2VOraBij4v154ORPddR9oKHVN25l+EceVOrO3Rr5
+icb8Pw/KT102MKqhIfDpkpNTvvDgYqvOgFefaewD4EHR7Nyx22tpkI0cXNbe
+wINf6R77JPU09gPwYIi+rjo00LA//CUnvZmdJym1zzwbaewL4MEBw6uFGk00
+iOqOW639yQOXU+5tN5tp/HwBdv8KNZxXtNAQNW1+APWHB7ZHr35X/qCxT4AH
+t/N081J+0jDkglpaeScPUgcGFzj+ovHzCHjwZPaVzr+/aTgnK/4S0cODbeoX
+vBL+0Ng3wL4vXD1g1j8ahi0Po6Zy+JBW+bGppYPG/gE+vFXTlp3qoiH1zvRF
+/wR8aBvXNd1aRoOPykfAh/DiiIIGOQ3jB/dGZvbnw/C5uf7HFTT2E/Bh3YjQ
+ZRZKGm5vyX/kMZAP34uqAj/30dhXwIcj+x8+OcRlYMp/OzqZIXywvjVi0UQ+
+g/0FfDBNFml+EjAAYy2MKyg+tJxz5USIGOwz4MPEcumYCf0YsDv8x/OwDvs6
+cPqhD/0Z7Dfgw8FbjyQHNRj4rzH74nR9PljcONlgrMlg3wEf3oXk1H0YyIDL
+LL+3nSP5EGk8hIgYxGD/AR+4/93cazKYgY+Xx2pmjWXXZ9lBafUQBvsQ+BBd
+FNZ2iGBgrbJptucE9n76kjvNKAb7Efhg/q/erJZm4Jtryh4dcz7w95mnHpcw
+2JfAB8fgkwsm6zDgd9/jTqUVH1zS2sd8G8pgfwIfln5ytI7VY+AvOaz16FQ+
+nP7v/AFbfQbuqnwKfFhvUan4OZyB3UE1BjNn8sGk8Of1hBEM9iuwn6fqT9qP
+YoDz+ryrzI4PK99fy+wazWDfAh8Ox1nKU8YwEDlhRWyOAx+CmiL2LjFisH+B
+D6ULoyz44xnQjCKeb3Tiw7EFs4ffMmawj4EPVquvzFpnwkBsy2ue3lI+PPhx
+6dwgUwb7Gdj19Jw4AswYkMyLmfJuJR/OGzk3bLFgsK+BDyfiO97pTWLgcsqC
+bVHufEjqI/peWjHY38AHuJ7uun8KA6P5Ghmz17P38/Vaq4kNg30OfDj6Ve1W
+3VQGbqx9WtezkQ/19ZB5ajqD/Q58uDfw2YdZMxgwfxTB3N7MB/UYiU3HTAb7
+Hvjw8lD669TZDORLZzn7buVDp5b/xRV2DPY/8CHYes0F9XkM2O7iHNEP5oMr
+GfSywJ4BvsoHwYdnKVcttzgwUPruIVTt5sOQ5q8V+gsY7IfgQ94b46Q3CxlY
+YB7SHb2PDztW70w+5MRgXwQflvvkfZqymIE3J61M5h7kw63PjXZtLgz2R/Bh
+2rmuxqSlDKz61bFReZgPki1f85YuZ7BPgj2fE66i/isZqHW8nZgbxYfQ5LHy
+h6sY7Jdg8xq91XvbagY2ZgS833yKDztv+KuPdmewb4L9vdt07ac1DPxUM9Ya
+EceHh85e32PWMdg/wb5vsnCU3XoGgjx/2H1K4MOGv0/O9mxgsI+CD36WpVNu
+ejEgL0oLPXWZPV8xcwZv9Gbw8z740BtjNXSoLwMHhnndtU/hQ2vRWdfKTQz2
+VfBBnLHsvyN+DKiFGrRxMvhwoNh/m+0WBvsr+DDj6Nv5XQEMRH2qHZmXxf6e
+34FlWdsYcFb5LNjz9dH7jGcQA+LJl9y23OZDk2WY2tBgBvst+NDX8Pj6mx0M
+nD/remZUHh/G2IyIOL6Lwb4LPjidPhczO4QB/X/0fzUFfEi1lrxU7GGw/4IP
+N0Mu2OaGMnDN+Z3gTCEfFsaTjX77GfBV+TD4UPQytGBUGAPG2bE2jk/4gFY9
+f/IlnMF+DD4EbP7DPxfBwJ0BzkH85+z9mbYELj7EYF8GH8a+TSMHHGHnn+/A
+6/kv+TBlx4jWkqMM9mew+23p8m/fcQYKS583bH3Dh9oxRhOmnGCwT4MPzp5X
+LvyLZmDuyCPSMR/48LMjyyb7JAMaKr8GH+QNdlq+sQyUh9m51Naw59d0rXjk
+GQb7Nth59eW3Q+1ZBpbU8o/F1fOhsKEtNyGewf4NPnwzdVq8/Dw7/6YWFi1s
+4sPlB+r6Qy4w2MfBhzMbxcNfXmRgXUKoXNjKB3/p+qXHEhns5+DD17ut+XOT
+GGjqtjZ9+JudJ+JriwVX2fmn8nWw51HjsE5hMgP+y2Q+QR18eOobQYemMtjf
+wd4f54yddRoD/27fTTKS82FC7PXU7nQG+zzYvH0rtLqbyUCIdtCHeiUf9t17
+pgi8wWC/hwAioODPxGwGuFsmap/nC2Do3SjJ7xwG+z4EcHCeWVDWLQYOvWib
+59xPAH4GV/s232Hw818EwG17XWB0l4GBY6/v76cpgN/z8zJb7jHYByKA7VXz
+XqTfZ+D0IZ88pC0Ad5Pduj4PGOwHEQDTPOOK4UMGpI2jfgeTArgfc2Z58yMG
++0IEwLnnOy0NGEia+XW0sVQA3g13l3kXMdgfIoAx57dcNixm59/lpDWNegKY
+53pU+r2EwT4RAZy5oihNL2Ugq9c97sIIAaCmBym+ZQz2iwjA5dLDO0bPGbBw
+1XnpMkYALyy6/rW+YOefyjcigLOMu1dWOQMP8j6INIwFQN1s6hfwisH+EQE8
+WHOkeuJrBmaQcdOKTAUgP2hV97eSAYHKRyIAtz0t5N23DDwNXBK8a5IAjl88
+vXfnewb7SQSw1GYcYf2BgYUV2lkmNgLITkut6f3IYF+JAJ4Zy95BNQNvjV82
+NtkKQJtiuAc/M9hfIgDz1B7XubUMuB4/PjRxjgBMh55tUq9nsM+EXe/7NVfL
+Gxio+26/dNl8AfjeKY051chgv4kANs+2z1rWxID3XLUozUUCaE5Yzv7PnMG+
+EwFUfW/a/aWFgbbk4uJiFwHcXvlrTHIrg/0nAggesr6/Txs7/3hhipAVAkiz
+tmKMfzNgpfKhCMDn7/qVf9sZ6Fkz3dzMTQBBKz6V5f1lsB9FAIYRsb6hHez8
+e6jY1LJOACdjDljP7mJgjsqXIgD/E+dt1GUM9JPmX03yEoB1dKXfKzmD/SkC
+mHRZ/+VZBQMndu74tGITez/Pd611U7LzT+VTEUAuVaE/giMB4p35kEEBAnh+
+WGfID64E+1UEMEfP2fwWXwIJZn/mlwYJILlqfcQuoQT7Vtj9y7YXzVCTwPCT
+2WGhu9j1ON91t19/CX4+swAORHvEvVKXQFrb5nyLUHa/Qvddix8gwT4WAZgt
+n9W0dqAEjB3H/mkNEwB7uJeNGSTBzxsSwEf/2I52bQnkpjeNST7E/v6e/sX5
+QyTY1yKAO4PkheGEBKzVUta5HheArcaqX46UBD+fiM2fva4jyUigaIPHucEn
+BfA+1brqi0SCfS4CiJGnxqbrSGBekV5F2Rk2H5KloYG6Eux3EcCaqinxU4dJ
+oFyvpt+B8wKQCBfUqQ2XwCmV70UAT/32r3xtIIGle8/bWiWy619Txrk4UoL9
+LwL2/wW67zeOlsCnj8t3/roqAOGvrdWmYySQqPLBsPmT5A9SjpWAhxWRk5om
+gBPuPwLLxkmwH0YAbbvkwjPGEmg+87rJ7Qa734bVT9aaSCBT5YsRwHmDiLvj
+TCWw5W+0HnFLAEnDW950m0mwP4bdn499+iUWEuhwWrD8xV0BrO7Nv3hykgT7
+ZARQaz1onvtkCYRkqUeHPxDAz1n/hhlZS/DzmATgUOhq2G0jAd6Ap0+mALte
+btbuJdMk2DcjAAM4VHTKVgKHfSKU7cUCsDthsXTtTAn2zwhAZ9Nk0ni2BLRK
+Z1qmlwngetchoWKOBF6rfDQCaH1NGDybK4EzIzj+a8vZ9Tz33j/eXgIrVH4a
+AYxoKmz2cpCANOxhClUpgK8uZTEWCyTYVyOA7uB6L8EiCVz5srum/L0AVjRy
+N1U6SbC/RgCEqc7FK4slYDjVioisFsDKtpG9W5dIsM+GXc/0IcdmLJNA9vkO
+x6l1Aij9/cFOe4UE+23Y/XLyM6lbKQGL7lsH/zWy88upaO5NVwl0q3w3ArgX
+8t/xA24SKFgaUJDZIoCjy8L7nNdIsP9GAP29qhKHr5PAzNvj/3n8Yufj+EK/
+vx4SEKp8OAL4Ps7Up3iDBMoG/TCS/BOAVqPeqTNeEjiu8uMIYEdlaLOXtwQW
++aetr+hmXwfN2mzlK8G+HHYez/QYqr5ZAm+feyYc7hVAxr2XPZ/8JNifw/69
+mL9fLWuLBFaPMaiczhOC/jZv2/1bJdinI4SjV/akLg6UQH1krXqXSAhjF92c
+PHK7BPt1hFDyXS7rCpaA99eLM7M0hHC7fkHTs50S7NsRwve0S9xLuyXwa4br
+bs9BQlCk183bukeC/TtCMFqs8XB2qASCE+lbOoQQ3AcMcqf3S2CyyscjBLOZ
+X41aD0hAoXj7vZIRQq/rnlEQLsF+HiG8ghcLTkdIIGxVrP4xXSEcfFeW5H1I
+gn09Qsjjeg+fekQC/fOcVs40EEJNSsJL7WMS7O8RwuSRK9O/HZdANDHwpGy0
+EFpqT2c/OCHBPh8htFvNqo+JkQAZ+Pxpzjj2eo6vmOF1SoL9PkI4YFX2wvq0
+BC68OszxniiES+ePHNQ+K8G+HyHMHHjCuymOnX/GdlZ6luz6tj3b+fCcBD//
+nf3+WPPc2AQJpB/jB7ybIoQtK9BQ34sS7AMSwvrYNbdsEyUw4Ttci5ouhIyE
+/oFUkgT7gdjrKb25pu0KO//sQr/Mni2EgZscd5YkS2CXyhckhE2f/iu4kCoB
+m2RrSjFPCEmbxo4PSpNgfxD77/2XlTlksPOPK1t4e4EQ3pvbnTS4LsE+ISHs
+GtR2sOeGBOzX3I30Xczej/PM5MpsCfYLCSHBbtKvzJsSeFkQ+Eh/uRAspxd6
+HrwtgViVb0gImkfeqLnlSmCZZGJnlSt7f1s931rck2D/ELufs73LB96XQPWO
+tvExa9n9WlTxpymfnX8qHxGbl+rTMwsLJLD+babnXE8hRE+69vD8Iwn2Ewnh
+YrpifRBI4Lupz0WljxCK9xyxWFgkwb4iIRDyGaaGxez8ixn1NtdfCDq+klW8
+JxIwU/mLhFAvVrtRXSqBzp8NA/wChfB3hmLsvTIJ9hkJYYNVW+XJ5xLY45A0
+e8ROIbydVnFt838S/Dw1IexOOJc696UE+Onuez7tYb//tPWr4RUSeKLyHQlh
+uH/mCOVrCRwR6dw5dUAIJ/1rrn54IwFHlf9ICOKPJQty37Hzb8OHH/aRQuj7
+t2L4ySoJVKp8SEJYxj+m7/dRAmcLzxpwjwmhfJ6Tg321BPuRhFDV72LiyM8S
+0NFb4poXzeYv0lOXVyuBWpUviV1/4aXSz3USuLpHO3bLafbzT6YkPGiQYH+S
+EPYMNDkX3yiBMR/Ln406JwQ73W2F25sk0KryKbG/b9UxxOW7BHImHed9viiE
+lEs3Ykx+SLBfSQj9Y6MnDfwpAcsz9lPOXGHP0/Lofq1tEpCpfEtCeD0uif/s
+Nzv//oi2OV4Twuql9w3T/kjw8+OEsGDwix2R/yQwy6k4nX9dCINS/vu9oVOC
+fUxCECy6FTurm51/Nw7U5eew88jZf+1wuQQ/b47Nz8+OZVyFBJw0pjPbcoVQ
+5Dl1R22vBPua2PuRWxWiPgm881Y4jckXAudntXkiV4r9TULYt2/o61C+FFY/
+uX+49hF73v62xbsLpTBM5XMSgvfROUemqUmhwWAHxD0Wgm8kcVW3vxT7nYSw
+cYzLN6W6FHwPmHcvfCqE8Nw/i78MkGLfE3se/Zqb0UAp/P7cPkH0nxAOnzJM
+uzxIiv1P7Hp6X4s5MFgKwTbZGx9WCGGR6corHmIpTFH5oIRww9S0ZhYphd5z
+mxOD3glh5I1RM0bSUvy8PPZ6G8eWiyRSCO8a897okxBW6JkdbJZKwU7lixLC
+nESz9c+GSkF9adPAhi9CuJc+bNN1PSn2R7F5DG9LOKEvhZhbyXbnvwpBa9vJ
+jgADKfZJCeFpfu8Ol5FSIAd5hDp/F8Ktq6MNLEdLsV+K/XsQyO+ix0jhop/e
+3X5t7DzbEvG3Z6wU+6bYeVCXRH8ZJwWD59U/0R8hxA9c4FVkLMX+KSGMtg2p
+TjGRQobh+ZE7uoTg92hYyBFTKfZRsa9fT5zpZy4Fk8jlbsYKdv6VXJnobCmF
+fyo/lRDG1G+0t7CSwr0G8ZlGjgh2bNt+hJkihd0qX5UI0gtRe6+1FKbOeP3i
+glAEHlLrsPqpUuyvEsGH55+mlE6XwuNL0YIl6iKo0jsrvT5Din1WIvb/he4j
+Ts6SwnyFo42Glgjimw2XBs+RYr+VCGSy7zdc50rh1Ur1oKIhIjBqPmM8w16K
+fVciYPj670c5SGH5vdLMXbQIViXsuzZggRT7r0RgxktN/LNQCjXiiAaToSJI
+OHIYVTlJsQ9LBLYHpWposRTWb5spbdYXweE5LsEpS6TYjyWCs/ojNI8vk0LL
+y77FiaNEsNAv7Pm2FVLsyxLBslCPmytXSSFg/MOjy4xEMDQz75Htain2Z4ng
+4/xdf0e7S6Hr6O4iTRMRnM6NX6S1Vop9WiIwmK1R2blOCnubJ8mLzUVg7lSy
+9/N6KfZriWC++YNFTzylILDrmLhnsgieONTNy9ooxb4tEXz7Y+Rz1kcKR6/e
+8jGbJoLnkdE5oZuk2L8lghBPjt5GPykM4gYktcwUwdef2+4s2iLFPi4R1O37
+FGC1VQpx7uM/JM0Vgc0e4yX6gVLs5xJBzuy17urbpTC0oGXQSkcRtFl7Rv8N
+lkKdytclgislE5uqd0ohmUmbN8hZBAF2+Z5Pdkuxv0sEfQZ/1XP2SGHsDs/9
+pUtF0Fn86t25UCn2eYmAe3JuWfh+KeS8GZ4XukoE73871PuFSbHfSwSTFr7W
+X3FQCpNMa39ZrBHBnyEvD82MlGLflwiab1iKxx+WwsPoi6N/rhfBoCO9T6ij
+Uuz/EsHOIfRl3nEpzP65ak2ytwjmFexO/BklxT4wETz9y5RURUvh2Xw6ztVP
+BG5GLYOKT0rx8yLZ/Xr7JSw7VgrOaW/LB28TgZ7XL0nCGSn2hbH5dtb8EBkn
+hffCWNGzYBE8G2j8cNs5KfaHiWCs2K7UPUEKbuudph0IEcGGj/Zd8y9KQV/l
+ExMB+Wn8gkmJUvgKmsFW+9k8n/z21CBJiv1iIti309t30FV2/uk+v/HrIHs+
+BqZN7E2WYt8Yu54V53RbUqXQHnK4MfWICPxnmk58nybF/jERSOo8fYozpLDj
+w5yh7idE4G4ypvTmdSn2kYng++2A+YlZUlBa8pcSsSJ48Nvk7/EcKfaTsfn0
+cy/cfUsKB0/D8RdxInic8/OO9x0p9pWx52N25X/L7rLz78/e4vALIvh9iz9g
+Tp4UPx+Tvf5DgVvM8qVwcpG1YkqSCBYvorr1C6TYZ8auX3xDyqBHUqBudJv9
+SWHz/PfFzj7Ezj+V30wEt9tLA9oKpXBJ/e6m9Aw2vyPKomoeS7HvTASH9Ete
+viiRwgjvwKtrs9n125tjWVAqxf4z9jyX7yvKLJNCZonJJ+qOCCyyRgcmPJdi
+H5oIunIvzDv2nxQmGrQNfpnHnt8DlTNDXkqxH00Egddh3aYKdv7tz5wf+VAE
+09+tSHGtlEKIypfGns9LMZqOb6Uw7bN32NQiEVSnrD5v816K/WnseY2+6TD+
+gxSKrUfl/3sigtWcg/q6n6RwSOVTE0HoxadSrRopOJxraM98LoK4gUFTOF+k
+2K8mgiTF7r3ttVKo6Lw8Zv0rEYwe/Pprfb0U+9ZEMKfHL+DNV3b+LXFfJ3kr
+gmzPWcOefJNi/xr7mjP3371mKXy+KT1X8YGdn3v9WtNbpNjHxp7fqMx+F1ql
+sEHrw6vDn0Vg+a1j3ok2dv6p/GwiSLWZcWP/byn82Hy2n20DO+/mhVkE/pFi
+X5sInIpu1Hn+k8LWZy62XU0imO2Zd3NFpxT720QQ/fNsikO3FLpHa+/MamXX
+n5n2cJpcin1uIvh57Ur3RIUUQiPKsz3b2fV3vb98pFKK/W7senYEf6Q5OiBo
+ONak0ymCbptX+wfwdLDvTQQdnffncwQ6cMzWXu+NXATarYZW/4Q62P8mglnf
+tO2b1XRA+5Jo+bE+Ecy46bO3ur8OvFX54NRgv2Tk21caOhDf8/jETIEaWLVb
+OZVo6mA/nBqsE51vu6+lA7orDzyR9VODB+Om5mRp62BfnBq8tKLOXB2iAyl3
+pylzNNXgB2foxXhCB/vj1MDYbdbTKEoHjMQKC+/BanBg9D4ynNHBPjk1uGRd
+cminVAdubr3vp0epgfYOdR3/oTr4eaxqMPn+rMr1ejpg9TI45Z1UDeY3eN5Y
+qa+DfXNq4FTlmbHIQAcejTOviRqmBhP3Wj2bM1IH++fUICvv9QCb0Tow52i7
+eM5INfAMHLPNdIwO9tGpwZu4iXJDIx143pTlqBijBssH1ybrjdfBfjo1MK0Y
+s42coAOL52w+eNtYDQ4X8z00J+pgX50abPzsESQw04GqK2MKfM3UoHiwTXrP
+/7F05lE1fW0cJ8OdJ5LkDueci0KGpEgSiZI5JEODSCkqQyIlQ1KGSEUZkkxR
+hlAk6WvIlGQIISUU/TKkDBXy7veu/edd99zTPns/z/c8lrU+n8FKyq/jIXxm
+ZJtGSyXc23xoZIfy4H5kYOh/Q5WUZ8eDptHC4O0wJardjvR9MZyHRbYxpS+G
+KynfjodnUZrsRyOU8M+bN3/nKB4a73y+eHekEv11vDseRvFqy6/ZKdFgqNnn
+MJbs15iOPS7bKyn/joeJ0cO2nxurxKqV5Y9bnXj48DzUMMNRSXl4PCyxuVJ4
+2EmJ1ifJwpzJPNjfbEzYP0FJ+XjkfFcbRCVOUmKT2Uy7JdN5WLakW3LsFCXl
+5fGQcPZb8WZnJUQ79EN7zOIh1SWhx/rpSsrP46FD8M/9oS5K7Pr0KOuVGw/D
+tZIhK1yVlKfHw63Q4oYls5UwdNpRu8uLh357TB/6zFVSvh4Pwt2aknnuShw8
+PoF18uGh7Z59X+d4Kilvj4fbeYlmLl5K9OwgnNV2MQ+cSbvEKQuUlL/HQ23b
+F93GL1Qiw+v2zktBPPCXijHGV4lAHY+P1OPBXZtH+ikxCJF3AoN5WJzrGWS9
+WEn5fDy0fPIPtQxQ4pLKro1xKA/BfieOmgUpEabj9ZH9WiBtMF2mhO2af0Mq
+1vLwn3Snh8kKJeX38SA4pP2iXalEYdmVwMSNpJ+mXT2gWaWkPD9yvp4zArqH
+KjHBMvT4hGhyHh0rPLqGKSnfj9T3xonLOq9V4nH8kMp223koNkw+KlunpLw/
+HuYKc5pFG5Rw/fbdIC+Oh+QDyQH8SCXl//EwyciqfYcoJSonnZu0bDcPAfdi
+LreNVlIeIA+GLeviWmOU8M4MjOq9j/z+V+eY31uVlA9Iru889FDTdiU+Cfpd
+fXOQh9Gpb1/82KGkvEAemhr45o1xSizz+e/HniOkn71SM+vjlZQfyMMax5Sx
+XxKVaLp5vN/kEzyI2jS1+bRHSXmC5Dw/pL2qTVYigvP27niah7FuCc8+7FNS
+viAP/25e+1Z9QIkO67gD+ed42LaB6ff+IMk/HW+Qh6g/R6PfHlJi2+vK0hUX
+ST3sc2hfdVhJ+YM8zC9qOVh5VIlO1gfEpld4yGq6MKfiuJLyCHlwjPcf8vqE
+EslJs+3fgYc2En3z8gwl5RPy8P3F4UmvTimh+dk1bG8hD5uC5FtenlFSXiEP
+ruMmV7/IIvk37en5qfd4mFU5w/PFeSX1I/Nw5Uy332XZSphm7arjl/DQarUz
+u+yikvIMeaj+d3pHWa4S56RTtHjCw8ZN/jFleUrKN+TBcmpeWlm+ElaLJXNC
+yng4URf/qqxASXmHpH4q/zN/cU2Jgrv3dvV/zUPHvOyMFzeUlH9I8k38n93L
+QiXGGkffq67iobdPePPL20oIdDxEHsa4e5e8uqvE/cgxegdqeLgUvedmeZGS
+8hFJHkUIXrwuJvn3Vm/Y9DoeEl+fFVeWKCkvkYcHIzd6vHmkxAtbLBXVk/Ny
+XPmo6omS8hN58E+K8Hr3VAmPA+Enrn8nefwkoVP1cyXlKfJw/VBGVc0LJWpa
+hlWtbib9lpFb8vGVkvIVSX6kXCj/77USi12bDM1aefjWcxf/c6WS8hb56Pvd
+YdrXKiUas7OnfNTjY21e0ZVv75SUv8hHV7POY75XK7G68/Logzw+Nor1P/38
+oKQ8Rj6yeDezmmuV+Bc0EC5iPn5UGO7+U6ekfEY+OkzlJ//7rETUg8+/JAo+
+/qqjL+vVKymvkQ93cWxLhwYlxKYZAwq78KGolM0SfFdSfiMfCz3aPRP/JPkX
+4+sTZsRHZ1f3pfImJeU58mG926CvfosS3T70PGiu4WNRLdvO8I+S8h352KVd
+2dy9VYlU+3fP/tPy0a2bQMq0UWG+jvfIx/3UhyN76KnQKy1VmmbCR0389TiT
+9irKfyTreVDapl9HFTL/uY2d1Y8P735/t5vxVQjU8SD58NtlZmUpVMHcrfta
++SBy/zc+etZiFeVD8lH+O7HWVqpC7uWy7NuWfGwvzvpiL1dRXiQf4bZZCqdO
+Ktga7v681poP/xFbnCfrqyg/ko/Y3EFZ0w1UuBU8raflSD7i0lL7zTZUUZ4k
+H/Gf7972MFJhwhO522d7PkzjjkR4K1WQ6fiSZD+ies3wV6vwZOCDhCPj+Ci5
+M8ZxKaOivEk+5rg0uYZwKsyK3Xp/ziQ+ogYM3hzeQ0X93XyMmPn18cZeKryp
+c2zfeRofXx5rhm8xUVEeJR9hJ/Ou7+yjwsJxHYffm8mH08dLC/eYqiifkg+L
+ZIlJSn8VPh+7sXz9XD6S75/peHSgivIq+ZiYkKiXOUiF5e3XZwydx8fx9tnd
+zw9WUX4l2Z/B7Z0vW6rQPG/Eu6/efPSwWX302lAV5VnysXSY0ODuMBXWFfw2
+Ou7HxyWnU4cfDldRviUfD2NdJ5WNUKGjKtfZPZCPTn30DN6MVFHeJR+udqkt
+H+xU2B66ckuXFXy0/jP589VeRfmXfHzYvsuoaawKncvMr99fxUdItycz2oxT
+UR4mH3sevznFH69CssW35o3hfOTUZXGKiSrqK+fjdvLwC90mq8DEnzaz3sDH
+WP0QL26qivIy+RiUOLNf32kqHKv3X9QQRep7Vqn+4Bkqys/koznlnaHNTBX6
+Tep96MRWst/pa6zGzlJRniYfebm7Vk6eo8L5jJoyz518eHbTPHR1U1G+Jh8p
+8q5jvTxUsBIckRsmkr9XF1TmP09FeZt8eP3iNgfPVwEL5zmWJPOhF6V1jvBW
+Uf4mHwH/+VrF+Kgw9qZ6XVQKHztDa4fHL1JBqONx8lERu2/uAX8VitnyizaH
+ST1tCE46vkRF+Zx8JJ5bUp8VqMK0iOSv34/zcTIidMGVpSp01fE6+bCfsOv7
+reUqvCx3Mc7MJOsNz0h9FKyi/E6SR2uu+JaHqOA5TN9jfhbp97N5Ez6sVlGe
+Jx/50QcnNKxRoWbPo91GOXyErnD3/RuuonxPPlZVfznIX6fCkh+xDx5d5mPy
+FIfGzhtUlPfJRy9Tdy9NpAqNzhM6xhSQ+mno/blPlIryP8n1zKF4y2gVQs8K
+Roy8ycdd88sz7LaoKA+Uj4TT/uaTtqnQRno7+NcdPi7oZ5rOjlVRPihZ36el
+oxbuVGGzf+Sp08V8lBWcX7psl4ryQvlAN9/8tQkqSO6OqvZ+zMet6E09tu5W
+UX4oH8UH9I7vSVIhvtc/peo5Wc+np/ZH9qooT5SPWcKff8/uV8Eo8sr00ld8
+bNs563F+ioryRfngjH5du5eqQmrV6m1b35B6ti+8/zxNRXmjfNhmXW54f0QF
+Y9shN+2q+dDqPTBvOKai/FHy+fWPHf/SVTi1//vv5lqSf/+Z8CQZKgTpeKSk
+X0vdko1OkfxryTLP+sKHzbitY03OqCiflNRz03GpZZYKl2cG+vs28pEZf/Lb
+6PMqyisl/fwo5uvUbBVGZpse1jTx0c93ON/zooryS0m/ds61DshV4Xan/14+
++8NHbuzPmLA8FeWZ8rF/b13DlnwVJgYd7xTbVoCHTbErkwtUUOj4pgJ0CHiu
+n35NhdLiBU5jOgqw/lpecc4NFeWdCtAzf9ChwkIVZvflNvwRCuDfz3xH6W0V
+5Z8K4FN1fs+7uyT/oitzz8sEuHUy43JDkYryUAV45KZoavtABZ+a/d/89AXw
+ffRqsuKhivJRBeBXtr3OPCb5N3p2b66bALe9QicNLCX5p+OlCjDTevgP22cq
+rDjUdd4LlQDtnEbkTC5TUX6qAOeWhcR5vFShpbU0aScnQPW+iqjAchWu6niq
+AuSe9tsdUUHyb+6uhw7GAtTs7oQdb1SUrypAvl1xu9S3KvAuT+b/6yvAgMNx
+886+V1HeqgCFGS4vUEPyr6tkZM5AAY44d/Z/9FGFqTr+qgDbd141ePufCvrB
+90KWWAhQ7jm5vOGTivJYBdh67Upeu68q7H28+UyPYQL0P//3gv43Fdx1fFYB
+fgwV3OnZqAI7cMyHVyMEyHR99t3yh4ryWsn6jOZaO/5S4fh2PU38aAH6bInb
+N6tZRfmtAiReWNLF/7cK/esKXJwcBbA++SE97K8K33Q8V3L/8J8zYv+pcMEx
+PLbtRAGGjolTprZVU76rAAaGZ/5ktVNj2LFhty5NFWC4wuHnjQ5qtOp4r+T3
+E6cInvHUuNau6W+giwAmX65ZfBSoKf9VAFf9+DUtIjUc5mVbGM8R4HD15Zdi
+qRoiHQ+W1EPMwGkauRoPri5bUuEhQLe+de/NOqkpH1aAuJ9VO+z11ZiuHHg0
+cQF53u7i6TMN1JQXK0DxfU8zP0M1Xq3+XD5hkQDRI54bhxupKT9WgBnpC4fs
+VKox7/lJ/fYBAljad/Q8rFZTnqwAdyedOpTDqPFhsO+EvGUCjONN+3OXUyND
+x5cVYNuZL4Gve6gRsKtn5LIQATpuC/lT30tNebPk/N+9P9S+txrfv77N6x0m
+wIo2/T0N+6opf1aA2f2dhpj2U2PNxNTGN+vI5ysDjUcOUFMerQCNv8sGTDdT
+o22GW9+kTQKMGDVsqq+5mvJpyfdvx28Ns1BjM7/7/MlbBPAa1qFi5xA15dUK
+sOqw27ijVmpIF5bt7bhDgIKwCcW51mrKrxVgjvHdRQ9s1Ei4kfg4P14AIa9I
+/c5WTXm25Lw2jPv0a5Qa3dlpwuAkAU60Hf5YbK+mfFsBNN+SH7Jj1Ti0Vm5n
+ekCAC1dnf7B0VFPeLemHV8EGE5zUMCkvXv3ukAD1uW/d5k1QU/4tWf/DpPyV
+k9Q4bbU1a+8xcl5JOyy2TVFTHq4Ap7ddLTzkrMbgPY61UzME8OijCrg4XY0m
+HR9XgLENaf2LXdTI+96BFZwVwNPHgffOVU15uQLYy/SammarMcr5hisuCNBj
+2b02Mjc15eeS8zVKYnt6qHHnzLqdIbkCJO32mm09T015uqQ/g9mMqfPVmCQZ
+caf/VQFsne539vVWU76uAK9OzE5Y66PGU7/f/6qvk/4yvWmauEhNebsCbPFv
+8zrDX405dy4NOXBbgO/teUevL1FT/q4Av/aURL4IVKOq58rA6fcFuHJralj9
+UjWO6ni8AuhZbtrKW6GG70bz46JHAjDb551Tr1RTPi/J35UV9Rar1Pjypr7i
++lNSvwcax04MVSNLx+sleZ2VdGFBmBorRpw2CH0pwGbvQquwtWrK7yV5tHjp
+s/h1avze5z/JrFIA3tqELRkb1JTnK4DxtF4uNyLVWN9sEvXxnQDydLXVqyg1
+5fsKsMA62LwxWg3+zJr8gx9JPT1gx4i2qinvV4BrPZQB2u1qxF44/MPlswBN
+7eeett6hhrOO/yvAzyEvOkyPU6NLp3n9pA0COMRsXbE4Xk15wKQeb/u1RCaq
+sS9Q7V34U4CGawF7DuxRUz4wuX7ijvE5yWpwxa/2h/0W4N2ImwYl+9So1vGC
+BbAI7ND84YAa6X2SS83bCDEi16mhTaqa8oOFiG/ZqmeUpkb/aBdxXXshZne+
+1tv8iJryhIUYX1PlM+GYGtnVne3TBEKcd6254p2upnxhIQKdb5lEnFTDevSj
+NbOkQtTlr85IylRT3rAQfaKb7M+dVuN6aux5eWchLqcO+1F0Vk35w0LkNw+5
+Un1ODcfW8XW3uwpRvflj8r8LasojFmKFnX1st4sk/+YItBFKIYZrRyeb56op
+n1iIA71eX56Yp8aM3FuzLVkhYsYLG33y1ZRXLMTa+OujNhSQ/DOI3PW5pxBb
+9VqP7b+mpvxiISYevMBdvKGG14pR9470EeLLsooLjwrVlGcsRM+Y5W6fbqvx
+8VFr27kDhBhW76/k3SP5p+MbC9F6qeAbe1+NwAFXrDoPFuLxz4Wvhz9QU96x
+EIcKZlXOfKjGj22rl94bKsT7vjt/LXuspvxjIQ666PWKLVUj7D/LE+tthJjv
+lu534pkatjoeshCOnqGFN8vU0HP8/maonRC/1gdZvnmppnxkIVI+bMj/Xa5G
+9NEsw/qxQjRfOjG7ayXJPx0vmZwf81piXqWGrF3glOPjhVjg1OX5pHdqyk8W
+InmhU45ftRqJnqbR7lOEKDq2IiPqgxquOp4yWY/ttpy0WjWUV2sLuswQYopP
+zPOrdWrKVxZC7LpA+uqzGmndj/+6P0uIxIld5vz6qqa8ZXJ+UQn5nRtI/q1e
+MCDSXYjs0S8tBn5X45OOvyzE5zsVNyb8VOPMM9bHer4QFnP3+ixqUlMesxD9
+xnZgo1rUsBhcmdLgI0TLo671aX9I/un4zEKMnXivtKBVjStx+5+dWEzqm9+l
+pLyNhvKahdg9o76iWU8Du6+zpPOWCrFxy/T2XTtoKL9ZiKutVraDeRrcndB1
+rOFKITaJk3dMFWiwTcdzJr+X+/0IEGkw+WRpeEmoEIP8jgZtk2go31kI1ZrR
+bU/KNHjK25UdFSHE/uPDj99WaJCs4z0Lsdwlxqu6swZzvSd/tokUoraeNW9n
+oKH8ZyEK37YasoYavL0u7vkjmtTjXkN9WyMN5UEL4RDt08NNqYEvc29u5nZy
+/pr349aoNZQPLQT3PCoymdHga/jmhPm7hBD0ciy9yGkoL1oI/82M1bMeGgS/
+sr9vtIc83yr++e+9NJQfLUSn1U2jOvfW4M9QvfaP95F6E9VWm/XVUJ60EC/O
+P06Z0k+DDbsLrGNShfjRfGpx4AANxur40kLY+yyfHGumgeB72PKRR0n/b+7u
+cMpcQ3nTpN/+S5l230KDHVOHZfw6IYQ183NF3RAN5U8LEXulW4ZwmAZdzvx6
+e/q0EHEz9H72Hq6hPGoh7mxMnzFuhAb7xdlGC88LMfBt+3u+IzWUTy2EjVQ+
+LdpOA85vmbPqkhCvj1+vP26vQY2OV032f2qXw7fHanDi9oAtpVeEKDvTxu+D
+o4byq4WY6xc+hjdegwE9P1/bek2Im30iLYwnaijPmpzHAckwh8ka5Gw42Wx3
+S4gjQZ2m+UzVUL41yYsZW9dtnqbB8Dc+Zi33hLjRZun14zM0lHdN6tf4iuGd
+mRrcsOm5KKtEiIz13hs/ztJQ/jX5vshbTzBXg3H73qb6lgphcC07sbe7hvKw
+Sd5oJ9k4eWpQ0nSwTPNCiIrzxs1+XhrKxxbi4hDru1sXaODi4iZ//lqIT8Hr
+T2Uu1FBeNjnfoY1Hi301KD9v5Bj7VogBTjHnvvhpKD+b9GPo8CeyJRrMV5RF
+jPkgxOa9HfhmgRrK0xbie9jrKc5LNagNSLz4p06I3F9XTi1frqF8bSHavtuv
+TgzWIOi+89fz9ULM67bycE6IhvK2hXgVMmp42WoNfvaWG/v/IOfz+tfH5jUa
+yt8WYmS/XSe6r9UgbHOxO9dC+tlJsNZmnQYjdTxu0k/dXRZ6bNCgXfWW3S9a
+hXDdstRrfaSG8rlFaF4/fdnhKA1i7Bwf7Gwngm/9r8TCaA3ldYvQWDi9+MMW
+DeSpHTo68kVw/jHfULhdgyc6frcIh5erQ0x3aLD773Wbf2IR/IeG106K01Ce
+twjxNqsDl8ZroJyzLjhHIcKSCJEgIVFD+d4inP5jmpOzR4PDl2xOLTEQISDn
+2coXyRrK+xbB9Gzb8X/2adDb4Pf7Ht1FuPP12CBNiobyv0WICi/oZ5eqwdnl
+l5TlGhGkC+yHe6dpKA9cBJ+z/d2jj2hg+Sh4enwPEVqWhsRnHNNQPrgICZe7
+lj9I1+BKf/NtTr1F8EjhD204qaG8cBFqzEcf73JKg9Hb6m+07S+CfgJ6W53R
+UH64CGYvVxfMzSL5V3vq96VB5Hqtr++68yT/dDxxEaziInscydZgioO/edAQ
+Ebba32m8fVFD+eIi7PcyfVaXq8GzIyb+xsNFiOl0skh2heSfjjcuwt3wYaXm
+VzVw06tJqxgpwoCHz77OhIbyx0X4OGSVOuy6Bu88Dr9MHCPCmuqunqk3NZRH
+LkKR6MyFm7c08Mv37DTRSYRObyyVtXc0lE8uQlVy+m5JkQb1Rmqn9pNF6Ln8
+r3ZQsYbyykVg0vvfdCnRYOWqV+vzppHzDbEIWfOI5J+OXy7CT1Zkk/pEg79P
+k3KXuYrAq0vvUvhUQ3nm5PkN+W3/e67BRnOXb73dRAj7xv6TviT5p+Obi9D5
+2lfZ4HINhHGde1fNEyHpiZ/5rAoN5Z2L8D1k26K1bzTY+eWhZ9JCERb+m3ju
+8FsN5Z+LsDY/XXL3vQYGE2KTJvuLoOLvXvOlRkN56CKsGCL707lWgwMnxj/s
+GCSC4Jhkh1WdhvLRRcg8u2Wwx2cNtDwB/+oKEdbnRHyK/EryT8dLF+GXYU3O
+yW8anFxwyzZ4tQgPrS/GP2zUUH66CAabPm34+UODgdc3hpiuJfvnFhGpbNJQ
+nroIR/ovSrJr0eCiZtSZdxtEiFx4+KrvHw3lq4vQYYXxr9hWDWzCW2v2bhbB
+dcGv1NltGMpbJ/W/eHXJkrYMbr7MUztvE2H7NgPeej2G8tdJ/6wvckhox8Bp
+6GoXQZwItfzEuOPtGcpjF+Him8D3lzsweJhoGYtEEXLvuI580JFBgo7PLsK5
+9ROOVvEYzGxsLAzZK0J0sUPnH3yG8tpFsA902MIXMng9Jetv/4Okfvo6CpUi
+hvLbRbC7NTZ+gJjBgtMBFjWHyWfeyJ6jJQyMdTx3EY5mD4SLlMF/ItMlB9JJ
+Pe3tssBPxlC+O+nftXXytXIGQYtqj0w/JcKDfmduxSkYynsXQbbCbdPRTgx+
+3TpWLjonwjp144Tczgzlv4sQ8nuxqlifQXiPBfo3ckRY/PL2zzddGIzU8eBJ
+fW5t8+K7AYP2G9gJoXmkn6o63+QbMpQPL0Le6daLym4MtlRWbDSDCAW38i8M
+NGIoL16ED60TL9t3Z6Cw2Z/38aYIXv0y77gqGcqPFyGi99PKxSoGe/bOajx4
+V4T0osJ/69QM5cmTev0capKoYaBqMug78wHJl0XfZp1gGFTp+PIiTOveKyGf
+ZXBkRqmX9IkI2jddnj/iGMqbF+F2Yj5Xo2XQ53zc3sLnIszsbhTS0oPBZx1/
+XoR2U01Kpb0YZMknPw4rF8HIsNpKa8xQHr0IetMmpg8xYTAkQCwcXCXCiGo3
+zYTeDOXTi+B3vvNBzz4M8ovujqqrFsH2sL9xcF+G8upJXu3zuhRjysC+9+bV
+af+Rfo78MTWlH0P59SJMGMt+P9efwb0o+6xZX0V4U/Q25fYAhvLsRejTZohz
++UAGU9+3rZV/F2FliZH0mxlD+fYimBhvfdzBnMHzUQXMnSYRrv6IPGg0mKG8
+e5JffToED7Bg4HYwzDXirwi/c/jT7C0Zyr8XQbJtm9WsIQze/7HaaaknRvn+
+7SYBQxnKwxdjxms+s9GKgd/sX7c/dxQj3O63JmkYg/46Pr4Yi6/PMzllzeDb
+xQv/jojEmD7dyur6cIby8sUIqV/r/NyGQUiXZUPmysUYsHPAik8jGAzT8fPF
+qO3nmNJ2JIPWZQMCO3cRw7iw8KHBKIby9MVY63xUZGrHIPLhp2P3uomx+8m7
+SaNGM5SvL4apw9q9LvYMhP1PVqxXiyE7tfSL/xiG8vbFYDrmOa0fyyBuq4+B
+lVaMadNnntntwFD+vhhn9o5WZjoy6FrbY1K9sRjjX4fFXRvHUB6/GFPZNrLn
+TgxSxr7ddNxUjObF9xI+jWcon1+MuNtlnN5EBj2OHMx3NxNjuZVJbtdJDOX1
+iyG6nz2z32QGGW3dfnSxFONpzNpWuykM5feL4bY24pTrVAZmHkb9ioeJMSIn
+e0GAM0N5/mKwtuoekdMYXLryfEGkrRgwzqlLns5Qvr8YbyJC887MYDDCKHG/
+tb0Yrq6+8YUuDOX9iyG8Ebb81UySfyHOpQ2OYnx4fGHON1eSfzr+vxif90km
+8GYzGP9UJj45UYxe5pH2qjkM9QGIkXG6yxjzuQweDSoePc9ZjAM9CyaOc2Oo
+H0CM/mfD3T3cGbju3LLGcKYYyT6TQoI9GOoLEKPHwv5JWz0ZVHx2OF8yRwzu
+ttG1Q/MY6g8Q4+sxecNFL5J/4zvURXmK0chJ+j6Yz8BE5xMQ4+AsyeL3CxjU
+pV/nRniLEegnzW7xZqhfgDxPsKSjwofB0o7rZv9YROrjAM/D2JehvgEx9Nu3
+FNgsYtA032ZXZoAY/+5XmUz3Y6h/QAw91ZVkP38Ga6+13J2/XIz73aI6rV/M
+UB+BGAb/DY/fs4RBB82ltt1XkfVkv+5+OoDBHZ2fgNTzUe/Mm4EMtoYFWz0O
+EyP+7SP7V0EM9RWQ65M01d+Wkvx7OWhpzHpyfeP47fzlJP90/gIxtJrpNpoV
+DJKG1KePjBLDy8nih0UwQ30GYjw7/OnChJUM1Imn3vzaIsayOSFh80NI/un8
+BmL0Tns8PnQVg6MNfoZndojx68RvLm41Q30HYrw4+rVteiiDvlNMpixMEOPx
+3YyPV9cw1H8gRo1Tv+dPw0j+narerEoWQ+2xtPhTOEN9CGJE2QQXtYtgMFR0
+uKD0gBj91JaPjNYx1I9AznNYVoXZegZXfT1/bU0TY1XRu0bHDQw26HwJYoyW
+FMk9NzIYc0s1YPRxMfZaL7AIiWSoP4HsV3zmvNhNDIq0rxa2ZIhhP+1Q4tEo
+hvoUxLida/voymYGzuuTUrLOijGYt0m/NJqhfgUxDocFeNTFMCirmPHMN1uM
+PnObs/S2MtS3IMbbj5zYaBsD9+Gdpcxl0i8LPy4x286A0/kXxBja3eG5YyyD
+6uSHY55fFaN1/HBHzx0M9TGQ9Y8sRMhOBv6/tofH3iD1NLJy5I44kn86P4MY
+EQmb7xzbRfJv+vjsMXfE2LY5b+bVeIb6GsSwW7Dqy9MEBqvO8T//uU/WuzJv
+2+dEhvobxDgt2jCowx4G/2S3elx4RPJg6d1KZRJDfQ5ipP+MTRiczGDTko1z
+/Z+Jsa6uZMqEvQz1O4jxKDVGf8E+BqKikQncKzE2+OZWrtnPoETneyD5mzj3
+XPwBBrtMWoteVIoRsyZoW0YKQ/0PYuwMbFhy4yADw6i8dnHvxZh1u9LlVSpD
+fRBkfS8sHBoPMTj4bpW1Y60Yk1u/jRAdZqgfQoyf2xUjtEcY9BxlufzfZzFc
+3sbZWx9lqC9CjK4uQc7TjjHITGk8mdNA3i/2J338jzPUHyGGjcgmcmM6g0F/
+zr5d8kuMex17pe87wVCfBMmv3V5Pzp8k+TcrwKjnHzFCDes73M9gqF9CjNgv
+RbbvMxnYXuzrXN5GgtOrG9f9OcVQ34QEQ5UL7uqfYVCoXxsT30GCDVbdu/U7
+y1D/hASPLQyCxmQxmLDs2DUnoQS+K50fuJ1jqI9CguXzis1XnmfwuGR+c1uZ
+BEbukamxFxjqp5AgpHSF/vFskn/9WLPczhIk9tu/oyCHgVLnq5BgxZNfirKL
+DCq3VPgGGUrAN9u0r/4SQ/0VElicG2UquMzA++O+VGMVWc+NPjfZPJJ/Op+F
+BOlPbOYPu8Lg05hZZRUsWc+UVYJp+Qz1W0jw+sTzHP+rDJYdNpDv7iVB5JRZ
+/pEFDPVdSPAju6XXAZD8a1PqMLGvBGcm5NZmX2Oo/0ICTfSu8w+uM4hwj4to
+P1CCtPKNkR9uMNSHIcHmgi1z2xSS/Lsy6WLeYAkEx49Yd7vF4K7OjyHBNGEJ
+O+g2g23dxF+XWUkQMY8nG3+Hob4Msh89x7dbcJdBp5C7vfqMkGDrwz2tYfcY
+6s+QwP71f212F5H8K41yr7KTkPfpKOGZ+wz1aUgwULzX6E4xA80g+91JDhLc
+N/lmVvWAoX4NCVr22U9pKSH5t6Ptg8kTJBhZHRfc+RGDRTrfhgSiTc8OmT5m
+YPr5agfeVAmy/8iejnnCUP+GBJseWMs8ShmccwqzuTpDgszwmVNWPSX5p/Nx
+SDA61jMp7hkDq3Sr4ODZEjhvmv7h5HOG+jkkuPVxoM3NMgYFHX5lmnpIsMa2
+Mfn1C4b6OiQwUyT//fmSwdj5F96/my/B7hqNr7ycof4OCWzGbXrR+zWD+1iq
+3OcrweEbt6aOrmCoz0OCAVVVD+dWkvxTD5juvESCfv1LXVa+Yajfg9TLkH3v
+dlQxeLHm01bBMgmstg0OOfGWob4PCXwuH1DceMfA48WJG1gpwVjn0nPl70n+
+6fwfEhx5/3T2z2oGNZY+v0PWkN+3SxXIPzDUByLBoZEDC3p/ZLA4oYf5gHUS
+uA+MXDO6lqF+EAmeLUwe4fYfg4ZvVX41kRK4rF7CD6ljqC9EAknr37Kdnxis
+nnww7UCMBIptjmdPfmaoP0SC2XlOsTe/kPzLnPtyeizZzx56yyu+MtQnIkFn
+r8XuTfUMooRGncTxElRLNk/p1MBQv4gE125MHmfayEDs+3zcjT0SdGJuOo79
+TvJP5xsh9Y2qSZ4/SP4VJqwP3S+Bod2xOaE/GeofIfU8RhaY8ItBN61zrtkh
+Cd75GsWcbmKoj0SClZMKT9xpJvm3Tvbt41HSf3skj962MNRPIsHimvrWP78Z
+9Kq4b5J6UoLSisXmXf8y1Fciwe8eEQFmrST/rLd4zjwjgb57z7Pj/5F/r+n8
+JaS+B7o1ebdhYZ7skCS9QOrBrofDurYs9ZmQ+h2+av9ePRa5P9s/LLwkIe9R
+l6YL7ViE6fwmEqzakj+7pD2LkdOv88LzJRCan7xR24GlvhNSv/5G5u15LG5l
+RdgOvi6BQ6XohJrPUv8JWc/wsJ5WAhYTZDYhdbckiB6wKH2akKU+FAnm+j40
+CxCxeLK45XRakQQ9d5+5Fi1mqR9FgumL2rselrCYde9izayHEljG3/+eL2Wp
+L0WChsIOSWUyFm+Mg9WKpxJsuXBqVKOcpf4UCco7Xf8m6cRi4aZBLndeSJCS
+ODLdpDNLfSoSzGvo5T1an8Wnt1+3R1SQfKhcZuLehaV+FQmW6XMNqwxYLB95
+qtDynQTsuEHX47uy1LciQYLloaTThiyaD/j9/fxBguTdi4PvdmOpf0WCF9pd
+ru+NWKz7bWxx9JMEj5Jldv+6s9THIkHZhbdmRioWHWdVL577TYLugwQmFmqW
++lkkSC1Z12OKhsX2nLQjnX+S/Z7gYOzPsNTXIsEFn9kDo1gWnfU9y++1SBD+
+9qLtIY7FM52/RYI/4W4zrmhZJC9V6W/4J4H3H8elz3uw1OciBZhV8Q09WTAl
+L8dbtZfi0+mPeRJjlvpdpNjvn/SfiQmLY6ZJG+v5UrgoN2nse7NYpPO9SBGy
+OXO2Rx8W/bbMyDsukaL/CvH+0L4s9b9IsfZk2rtEUxbnP3RqdO8khU3jYrOs
+fiz1wUjRxXDRpvv9WQwb87CPQVcp1r9LqPwwgKV+GClKmC+27cxYIG27V3F3
+Kdj9y46pB7HUFyPFIo7pPMycxdg24/dGMlL4rf++acZglvpjpMjb/Lk1yIJF
+sRv/sXVP8rztBWu3WbLUJyPF+Tv27dKHsJiWVyho7C1F8pGU2BtDWRjo/DJS
+jPfTZyqtWLw03DjqZH8pAj8dvtgyjKW+GSnCW51mGAxn4bly5Op55lJcWcFr
+NrNhqX9GCtsez9MmjmBR8+TvWcOhUnx+e9F5kS1LfTRSrNx8nL9pJIslZnkf
+S4ZLMbf28M3UUSz105Dr35yMumLHojF2FbN5lBRjHC5PKhvNIkfnq5Fi0s8S
+5Xd7FqGfLFxHjJUi/05tvWwsS/01UnTd26GorwOLNk6NO344SXFyLJvh4Mji
+hs5nI8WujGFx88ex2Hz87O3MyVLkHJscHuHEUr+NFEUG7oH7xrOQdAj4N3+6
+FJNfzfe5OIGlvhsptpS6ez+ZyCLBq++Q7rPI/d5NWPR1Ekv9N1KM/a/vctEU
+Fkb4GPDYTYqJRc0bjKey1IcjhdLvQtJoZxapqmPHYryk+HJy1gWPaSwW6Pw4
+Utxb9uHpmuksjNfMrxjpI0XE8Tl/98xgqS9HiiMDLvS54MLiVBlj0OQvxd6G
+L24PZ7LUnyNFTJlgzydXkn+WFRPPBEnhdU/vGX82S306UrzOem7Ucw6Ly/H7
+Ni0MlmL16ijvUXNZ6tch5yuW5Li5sRj1zTVfFSrFL5dF4lB3Fu11vh0pLo9J
+9t3tweL2JIMfpWvJ/W/tvXfOk6X+HXI+t/0HlcxjMTHziem2jVIcHSJMrfNi
+qY9Himm8FZ35C1iUCuIWjI6Wgmd8fFsPb5b6eaQYGn1INGohi9k+k/a3bJOC
+Uc3b6ebDUl+PFFfL3hmF+pL8uykqzYqTovS0ccbuRSz190hRG99n1Hk/Fj7c
+XdGi3VI4hP9XXuLPUp+PFL89vdd+Wszic0TUaGafFM8sknsKAljq95HCv3Hj
+456BLFa8Hr3m+UEppLu0m+yCWOr7kaJMuNLGYymLlmFtz8cekSJt5urfa5ax
+1P9Dnmd534Kk5SzWJ139b8wJKRa4bonOXsFSHxD5e+0SZj4OZsH7uYb7e0oK
+62VjTb+uZKkfSIpBhw52FK9iETvNavaFc1IY7ThQY7Kapb4gKTpZj7g/JpSF
+ftbPOP+LUjQdibjotYal/iApFhd7pEeEsdgrvXCXuyLF3ezylP3hLPUJSdHP
+8/ve3LUs2MVL276EFMtKjux/FsFSv5AUZrxPhxvXsTh+t79VXKEU10V3zso3
+sNQ3JIXVW8sb/Tay6G/8KcjxHsmjnZavnCJZ6h+SokpZ2OSzicWFyBPp/x5I
+UR/7pvumKJb6iKRI+RJln7aZ5N/bhW9ynkiRZZ+zrCCapX4iKTL3Lj5WHsPi
+mm0Pw4AyKe63HK9s3sJSX5EU4qCF6q7bWDgcqJrc8zXJx47HvAZvZ6m/SIrQ
+uwsyp8ayeNCSsrm8Sgr726m/A3aw1GckhbfEdcq2nSymu84tiK+RYs3J6JMn
+4ljqN5Li7amBwtu7WLzK7vbLqU6KU8aTAt/Hs0jR+Y5InphUvmibyGJe5+f9
+9eql8LxeNU6zm0UPnf+I1AtvesHwPSw+BCUszP1Ofi8YPGx2Esk/nQ+J9Pvr
+iMshySwCHkxNCWom559kMTJxL0v9SCSfJ04rOrePxfe+smfGreQ89J/Pebif
+pb4kGez1Cr59PkDyL+a+pFJPBvMBgu2igyz1J8nQeu58v96pLNp+iBmzmyeD
+67ErT8YeYqlPSYZTHBexII3kn71D+ESxDBq7twM2HGYxXudXkmGT5nf1wSMs
+pGnts9srZPB/5nco/yhLfUsy6G8c4PXqGMm/f9c+5XWRYaWdg0nzcZb6l2QY
+Mehso8EJFt3dInosN5KhOMj35uCTLPUxyWCpCtjrnMHi0OXhc/toyPPMLAgO
+ymSpn0mGpbazXWJPsTAxbImv0srw9efw4ZmnWdTpfE0yHDrobXzvDIvTwReL
+kkxkUM193PXjWZb6m2TInLxe0vEcC4snK9pN6SeDU0oQv8d5lvqcZDi8OIVv
+d4FF3sBB1rxBMnR7w5d6ZrPU7yRDnvq04dockn+xX5ddtZRh0uRtJvsvstT3
+RNabfMjm8iUWd+oyTwZby3Cjx6eZZbks9T+R9Rn5hfy8zGLSOL+3piNl8DrS
+bb/+FZb6oMj+fGoqHJTP4ukxY6P39jIYqTr+mHKVpX4oGbZ52fYOLGAxp331
+1H3jZHjxMc1rO1jqi5LhR3n/QxnXWFTNS4txniRD5OKq93evs9QfJcOzwkv9
+Pt5g4VvgcU0wTYZPXc+v6VjIUp+UDCt2PXjQ4xaLL0pVM2bKcM9bYDz6Nsk/
+nV9Khubr8yLn3WERHPpy4Kq5MmS/eloTcZelvikZvN/On5Ryj8Xv53t8B8wj
++ycU5l0pYql/SoYdUbdMX90n+WcxI7XGW4aB2/Ycbi5mqY9Khk5T1mgMS1jw
+4zuVHfCToYkXlGr5kKV+Khkm/7e814xHJP/qS2QzAsnv+2/KWv6Ypb4qGdxF
+aaN2PWHRZdJ2B/EKcr6X7zw7W8pSf5UMohW/gkqestiX4RRxY5UMPstM5V+e
+sXDX+azI8371viAuI/kn4F8MDZdhgnGaW98XLKp1fisZzk6vFDm9ZJG+sPCL
+2QYZPC50L/B9xcJf57uSIWDjjJDN5SwG3NzQqzZKhuR/WwYfe81S/5UMY3wu
+/7xZwSKbHemeulWG9c1V+e8qWerDkqHtz38xelUsrCP+Js7cKUPPA53msG9Z
+6seSoX6AodnIdyT/yi8XSxNlUNRLxR7vWerLIvWg+VEXXs3CcdiqDreSZRir
+d/fh/hqW+rNk+PUy+nLeBxYleyxswlNksPgy6MTLjyz1acnwZV3h/uZaFjN+
+NKwYfFiGnLIRiYZ1LPVryVBofWDXkE8syp3PZtYdl+FPfUWCy2cWB3W+LRkq
+bfX2B39h4XV2yfu0TBl2B3VIT/jKUv8WWX9RzaXz9Sw+SvoqZ2eR89p35MHj
+byz1cZHzNrGp/dbAItD/4zRFjgyrCk7zFd9Z6ueSwebkL9OBP1j8uHN0653L
+MjhYGLhM/slSXxf5/hQ/MuAXizW95t+IKCD16FGcs72Jpf4u0v/JXl8ym1no
+RTK/LW/KkHLyVp/7LSz1eZE8q/rlX/ebRXTV60Ff7sjwfvv3LOFf8u81nd9L
+hrVt8v70bmUhs93nd7SY9P+WcRPG/WOp70sGQXhKqm8bDon7XdPmPpaB1/dS
+8+a2HPV/yWD3IWHmcT0OypYuLzs/l2FqB/PLt9px1AcmQ+CLnWxNe47MDU8U
+Ra9IP17K3N6hI0f9YDK8+hXZ2oPHwSR757gNb2TI/9x1hT2fo74wGR7Vz/8y
+X8DhTKdJ662qSV66+izZKOSwTOcPkyE+jPmWJuJgESTKra8l+Zu9ffV1MYcm
+nU+MrMftVMe3Eg5Xiu/UH/8iw/f74UltZRz1i5F69Pjbn5VzsOsbZeLRKEND
+QJ97IxUc9Y3JwHdt5+fZicOd6NGeBk0ynF4ZJV3XmaP+MRnuG5+7eFCfw+Sa
+NknFf2SovhPpXdCFQyedj0yGrpf+dK004FDHVvpcbyOHZrphSWtXjvrJ5Jjx
+5+kWdTcOpx/mt1O3k+O0fPD4EUYc9ZXJkfttoNy9O4elEfsPru4gR1qbohfh
+So76y+QYcLBN+gEVh8H911g/5clxfcDD0Hw1R31mcrh0Ger8WkP2o3zW84FC
+OSLPW/b/y3DUbyZHeMA9qYrjkLd16PJtYjmEGd8ah2vJeep8Z3LEPzj5em4P
+DmuHdZV9lMrRxfZ7UVhPDm90/jM5+sy/f3V/Lw6jan+cHK2Qo22aWc4VY476
+0OTwmc+dKzfh0D6pdOzBznLkyw6c+9Obo340Of7JUi8q+3K4Pfb825YuZP3F
+va8NN+WoL00Os/NDS+b247D1R9xaF0M5ZH2LqsL6k/rQ+dPI/qRWNu0fwGHS
+kSCjc0ZysOtW6OcP5KhPTY6HFtGDX5txUEybnCNRyfGhf7dZfwdx1K8mh/pF
+zw2qwRyetu3vvEgjx420zDM2Fhz1rZH7t2RUuVlySDor/nKTlWPNFM5w7RCO
++tfkMNSXTksZymHO//8XoYccQ3KW7LpqRepN52OTQ5Fu+6xiGAe19F7PsF5y
+rJyzQf3PmqN+NjmK7Qb7a2w4VF1Jv/bcRA7Jo2lXbEdw1NcmR+HqSoWnLYej
+/pvdzPvKYZD11H/dSI762+S4VDf4XuooDr5GC5tj+8nxPeW36TU7jvrc5Egf
+aZJQNZpD37v2if8NkJO5PPdf2zEc9bvJcb/3qUBuLIcvIVqzsYPkKPPQe2/n
+wFHfmxw7512cO9+RQ1YvveJDg+XIOn7vxcZxHPW/yRGTMWzOEScOK56+8f1r
+KUdTTYeqm+M56oOTI6i0j3/1BA5DIwvaz7KS48eX480dJnHUDyeH6tyabb0m
+c/g9KCX1grUc4r1HtA5TOLjpfHFkv7Vsgc9UDlerwobLR5C/X/TVPdqZo/44
+OTbLZe1OTOOwfuecMv+RciwICs+4O52jPjk57PysXP+bwWGM7bAVt+3kOBE+
+SiCayVG/nBzn+iRc7evKgf/FUK4dI0e7hgGrJsziqG9OjqfTO1sumc2haP+v
+jLUOctSVDm/aPoej/jk59n8/efX0XA6x4585vBwnxz3LuTElbhz10clRo57s
+Wu/OYWrLhXcWE+SoH7ihr8KTo346OYK/NeoNmsehy4n4iLhJcsRVp1U4e3HU
+VyfH513bry6fz6Fs5rLun6fIcTXiXFrCAo766+S4NUi+Ndubw76OUy86TpNj
+pvnRkGcLOeqzk2OiIMj3lw8H9+wB047MkENuE+hmuIijfjs5EmcecrHy48At
+kH79N1MO97ftp8/256jvTo5VPkkz1izmUN3p85Y5s8l5LJ09Z/8Sjvrv5Ni6
+dZx3fgCH9GtFvS7OJX9/1ILlFYEc9eHJYaQ5selfEAf/oJPXO3nIsSfLYD+z
+jKN+PNJ/URk5o5Zz6K+JcQ+YR+qpz8KnXis46suTw7rfmKaNwRwain1a7s6X
+g1M5aI6u5Kg/T46cGD+nWyEcssPG7u65UI5feqdXf1jFwUDn05MjsJv8FD+U
+w6q+PQet95VjkPuO973XcHip8+vJUe7VhxkfxsH6ZbsH5X5k/3MrPRaHc9S3
+J0fr91OHt6/l0Br9dtHQJXLMTo+vOx3BUf+eHPN8dgx5uI7D9SHXOiQEyjHr
+1sHN39Zz1Mcnh3T2jVedNnLYVHPw0Nelcjy72GQ+OJKjfj45tgWP2DljEwfH
+xLU241eQvO0dX78yiqO+Pjme+P2YnrSZg8je7cWxlSQ/H87Pz43mqL9PjnGN
+5b1fxXB40GAdrLdajm9+Hnv/bOGoz0+Oyw9rpeptHHYdMlK4r5Gj79XQzbbb
+Oer3k2Nasbz9vFgOM6Y0Z+aGk7xJOhm5YQeHHJ3vT469eWMFR3ZyMPz33LHL
+OtLPj97FFcZxCNX5/+RYtHKd+sMuDq9O5bwP2iBHP4fuZ/gJHPUBkrx9c250
+n0QOKXMT192PlGNs1Zjy8bs56geUY23N41VL9nDwEq1QmmyWw2GHa7cdSRz1
+BZLzCX2afzaZQ8/Lzpc2xsjxx9Fx4eO9HPUHkvsnn+n0fR+Hj75m0yu3yjFf
+KrzR5QBHfYJyXHRwCRmSwiGjq7x+WCx5v37YNWDWQY76Bcl+77xaF5rKIeDW
+l627d8phUf08Y/8hjvoGSf9Gvw68msZhUHCxccMuOUI0D4a8OcxR/6AcNhPT
+2+kd5fBDm3ljYiLJr4t+T7THOMzU+QjJ93r6x8cc53Dp8RaPE3vkOFaattYn
+naN+QjkOlXaZHXOCw5r1i3633ytHxxP+VhknOeorJO/35jRlcQYH24GOezz3
+y/Fz8eV2XzM56i8k9Z959ov8NAe9yl7mV1LI/s2LfD3oDIf5Op8hybPBgx9O
+P8uhcHuHkq6H5Lj54OqtlVkcjHV+QzmqXnHXks5xiB7+3m/5YdIfHT0KLp/n
+qO+QvI+al14rv8BhfN31jiVHyf09Z99uzeao/1AO848Gj5iLHGR7D6X1SSfz
+ic2xCrtLHPUhkv2T8OoX5HJ47LhuRNRJOYo6Du2w+TJH/YhyHHg2RH0ij8yX
+v9xfVmXK0cO0g3XRFY76Ekle56TM+ZxP5s1jNittzsjxqWe7dbICjvoTyXzQ
+xyzdDGRemaHslJxF1rPCuHTaNY76FOUwzX7fbuV1Mo+2+33q+3nSTyk+Q5Ju
+cNSvSPr53emAyzfJfHruxbgpOXIstcg9UV7IoZ3OtyjHSMdNH1tvkXl13qXq
+jEskT0oUfdk7HPUvkvyKcFs6+i6ZX+V71vPyyPtB5JPnfY+jPkay3j79BNFF
+ZF65Gqyan0/OK+707JP3OepnJPPfz9oz94vJfLtkeu7VAjmcZRX8rw846msk
+9Rof4614SOZdpfkMo+uk3ofVFZo/4qi/UY6GK237uDwm82+R4lvwTbLex0Vx
+q55w1OdI+t/c8e/eUjL/ra7f9ugW6e+9wYvzn3LU70jy9ZpzZeUzMq+YlJj0
+uyvH8nkVM/TKOOp7JN9bdn3Y4wWZl5+fuhldJMerlt8THV6S+U/nfyTvE/+t
+JYtekfk5apvn+2IyH46+OX1bOUd9kCTvbY++Pv2azNMW/n9sH8pRoOrn96iC
+o35IOfrvm93SWEnmlXfjkvY9lqM52DTWoIqjvkg5ziw+1NPqLZm3d5kM/lVK
+3i8jLmHOO476I+VYcjLQY+17Mn+P4j10fi5HddCttoeqybyi80nK0ds57/iN
+GjKP11f7n35B3keyiVNrPnDUL0nmyUWhrfxaMv+l3OQJy0k+s3Zn+v7HUd8k
+mTd+p82fVEfmlYmHD3tXkHzP3dd96SeO+ifl+Kvq+zz+M4e5f9bbXntD5o3P
+k3fnfOGoj1IO2zr+rBdfOWgyPF8p35H5u3y65k89mVd0fko5OkcNqlU3cHg7
+yzZkVTWZX06l5oxq5Kivknw2TNm84DuZ//jqzqUfyPls7z138w+O+ivlWPhk
+1OCTP8m8cvHP6QH/yRGVVS0r/sVRn6UcO752/vq1iYPpwldOWz+R55lR9KhT
+C0f9lmS+yxResvjN4av+5ZqaL3KMzn94yPUPR32XpD6nKnes+cvh3I2kDXbf
+5Lg26FNESitH/Zdk3utru+LaPw7By0LUKY2kPnj6i9+30VIfJrk+bpEPT08L
+K9blcvMPOQISRyzs005L/Zhk/quM853YXos/JYNdZjSRecPaKyCog5b6Msl8
+FXI6JL6jFgVrOzecbZGj67zgyByelvozST8UZie84GuxoV/DdvFf8j5ZEZD+
+R6ClPk0yL1mnFGhEWowpf9jb9x9Z73+jX9qJtdSvqcDXqe5N3hItBFvPFN5o
+q0DZyE/dYqRa6ttUwCX604hMmRb3rWLnadorEN7s5lMi11L/pgKPvG3jGxRa
+7Pi4+G9oRwXGHtxxvUtnLfVxKmC7auKPofpaOO8Zn/yMr8DOGyF953bRUj+n
+AqHTJd4RBloYjO1jMUikwJlWcVpaVy31dSoweXfw20JDLV585z/aLlGg9uuY
+XrXdtNTfqcCaN2FLxN212H/4w+JamQJLbbpdGqDU4q/O56nA0fJuHaeptPBw
+vsUf00kBz4TwmSvVWur3VMDVenRmskYLru3RI6n6CpxLX9Q+n9FS36cC/85/
+9XjDalFzZuPIPwYKjLAovdpOq6X+TwVetzdgjXtoccLdq3xmNwUu/D4f5dRT
+S32gCggbM78u6aXFYsmoVee7K5Bw89+cOGMt9YMqEOiUUXTBRIsBVzT6MrUC
+fTxOjyjrraW+UAWuvOZl/+6jRYNf6xk/RoGth3L6a0y11B+qwMKo3Ay7flrk
+dHs9/hZHvveVmS7sr6U+UQXSelw8EzNAi9V38j6wPRXI33PG8tRALV7q/KIK
+uB38hYdmWgwP2bsx3FgB/26xk74P0lLfqALW75dWdh2sxb+eqzUveisQW3Fo
+ubWFlvpHFdj+QSnysNTieunMvMGmCjyoqDq6YYiW+kjJ+R35OvrYUC2iNlrO
+3NmfnJfhmOq7VlrqJ1VAq6yK+TxMi3GDujTWDVRg087rZorhWuorVcBh5sfy
+wTZaiKsaYx3Mye+dp251HaGl/lIFkhb8GR5mq0XJjsd9DlsosDHo47eDI7XU
+Z0ruN0v/5I1RWsSPyLrVOkSBGe0ivD/YaanfVAGZs3EPkb0WLp93eM0epoBV
+H3FN/zFa6jtV4FqQaYbzWC267Q9ozR6uwF/h5uUrHbRYo/OfKpBZYWS711GL
+cqeJexW2Cnx/VCO5Ok5LfagKeBXVVlY5aXGwua/lklEKfMrisjtM0FI/qgL1
+i3du7z1Ri/npwsd3Ritg9t5s0cRJWupLVeDVvw6OSydr0Wtm7ZIeYxVYly7q
+kzhFS/2pChjeHiXLnapFbYc7gnWOCrQfc/xXubOW+lRJ/Ymt37WZrkXmhWNH
+XzmRfu7451GPGVrqVyX7qa694eiiReD8TaOGTFQgyLZt7uKZWupbVSBx+uis
+na5amHda8HrXZAVOjzudeWGWlvpXFXgvHJVRNluLn7Bb/WWqArcjWzL/zNFS
+H6sCTkdeZDFuWuQGsl2cpitwy+V1rr27lvpZFfgd077Q10OLMHWbrKMuZL2m
+k55s89RSX6sCYX1z35+dp4VtccWEtrMUpE7tm0u9tNTfqsC+1i/y5vlatAvL
+/zh3jgITsy72VXlrqc+V1HPEgXGjFmpxq8/+yEtu5PlmHfTz9tHCWOd3VcBm
+4JXYGF8tYl6EMvqeChj8aMg+tUhLfa8KpCbbvXnkp8WE6FlXAr0UqJGdlPz0
+11L/K6knJ5MRRku0kA0Z6lq0QEHy9srSEQFa6oNVYNrzBelegVo8qTb43stH
+gRNy9m1UkJb6YRXIffVVnbFUi90JP3ZsWKRAuelD95JlWjTpfLEKlDThUONy
+LWaNLu1b4a9A1uBrH7oGa6k/VoG2z0oGDl+phbLh3G2rANLvj+vCPEO01Cer
+wHNG/37kKi3epMbNTwxSYMxFB/WJ1Vrql1Wgcdum5cWhWhyeHPSvfpkCjsn3
+i76t0VLfrALi0u7GBuFaLGydtG9CsAK+Fss2DVurpf5Zsh/ZD2rcI7Tofarf
+kPQQkr+TBo7fuE5LfbTk+ZsSzx1fr8WnOeIn7UIVGHKqVXl/g5b6aRXo7bNo
+S/1GLc4K6wI8whSIZ5626G/SUl8teX+UjgywitJiee5dYd5aBWaHZ7x326yl
+/lpyvl313TdEa2Hpm37MYD3Js5TVL4/FaKnPVoHV0lezirZo0Wyw2W7ZRgW8
+Fwwp/7pVS/22Cpgc2D5Pf7sW+YXeFcWbyOec8tqhsVrqu1XA+JQ22G2HFutW
+2If2jib1vG5euw07tdR/S/Kjf2LCsTgtRmu1Bpu2KDAzO9+kaJcWR3Q+XLKe
+Li8LvsZr0fFx23NvtpH6mFg7Sz9RS/24pB7d//s5dLcWd9e9mTh8hwJFDuW7
+3fZoqS+X5JnwqtWGJC22Dyio3ROnwPHjsZXHkrXUn0s+MxOji/ZqMaXiwKbG
+eFL/IU3m9fu01KdL8uvUjrf6B7TovD2MnbxbgS23FAlWKVqs0Pl1Fdh8M9zR
+/aAWz6zn5J9MUvyPpTOPhrJv43gkKgpzz0xSKHNvbZIIlaWNSgulfSUpUgip
+tCChkFBJCWmViFQo9KVFUSmREhWRLKGiJPT+3ufMn/O4p/kt1/W9Pvc5zzkf
+/L5W+s8/QSL17arCc7/y3SvnJYhpMl4lf1YVnWaTvZ8lSqT+XVU8/zXd8PsF
+wisxap1250h9Xx7XLbokkfp4ybyz7bs/9bIEo+b+Pp4bT/JxwK3gDVckUj8v
+WQ+sbAOuSvD5V/n44Ymq8Dj6UDspSSL19ZLzd9boeH5NgsuXbj3xvKiK3Y7L
+nvxIlkj9vSSfArfFD0uRwMk2yuHlZVUolK7fMz1VIvX5qiLNWme53Q3CK/13
+9hufRPpp8DuDwDSJ1O+rip6B69WS0yVoT7eODUom9Wib01tyUyL1/ariQueP
++o4MCTI2TjT6nKIKld/9Xg2/LZH6f1Wx074+z/SOBLuUh5aZpqli9Mz4G5sy
+JVIfsCpKEyZcCM4ivJLX4nrmpioij4THpGRLpH5gkocKDyNL7xJecSlW/HVL
+FRO5omO/70mkvmBV1P9MCBuZKwFGXLtik6mKVXstw2fkEV75zx9M8qcwJ8rx
+vgSHioJnpWST/TT8OxMCidQnrIqnjcqX0vIlsNiz5ePAHFWEVzanlxdIpH5h
+kv9PIvO7HxD+4y18HPJIPRf0L9N6JJH6hkk/vDFpnP1Ygudv6GGAKroocxnn
+QonUP0zyIWTQyPAnEhw/3D9jxANVzLaKMb71VCL1ERM+cmhd9a5IgqX6tYu8
+H5H++6qwv69YIvUTk3nxpS5R8pzw32c0lRaqYoZ7QPHcFxKpr1gVTjH1v7aX
+EF6JiA/UKVLFBHcFJuqlROov/v99Ni7LeiXBOfMD2kefqaJp95Ej1aUSqc9Y
+FTteNNyXLZNgY9vavPoXJB81+//hyiVSvzG5r/2V+gvfSCCJm7Z6xitVfOx1
+8dhZIZH6jlVB386+Ff2W8N8C9V+xrwnvZN7vynknkfqPVTFU/YBZbSXhlb9d
+EV3lhKe//wxWqJJIfciqeGk7qnx8tYS8p1VMsH1L6mmlLL3kg0TqRyb1ScV4
+eX+UQHfVnac3Kkk9x35+GvtJIvUlq2LW4JpRBTUS/FQ4uVmxWhWynsf3NtRK
+pP5kkn/f298o1RH+u+Mhs+Uj4ckzMlP06iVSn7IqbILyo1d8kWDv5iXnCmpI
+f76c2LOvQSL1KxM+CbfalPhVAhPhJGPNOsKbVdTzwkbCK//5llVhVRpk/K1J
+gn4PlMv3fFHFryOXrwpaJFL/Mvms4apu9E2CB+6tbuVfVfHu6qdj61olUh+z
+KvzmdA841Eb4b9RzpUnN5LyV7x282i6R+plVYT5au+f5dwnmlyRfDf1G5mG0
+js/PHxKpr1kVmcc+9qh1SDDkwNHZX9tUcVdb38+0UyL1N5N54TZuoMMvCV6O
+d/o06wfh4ZMPI478lkh9zqq4ltqncaOL8N97y33xHapgK99eL/sjkfqdSR4Z
+LDHt7ia8cpRV+/uLrPeTU6lWj0Tqeyb51KXpNKdXAnXjAbeW/1GF1jk32W19
+Eqn/WRXx39bFHf8nQXXD58U3/5J8H/Rl+p1+tNQHTd6XVAd+eC9DI+FUQfOQ
+PlXoMQ/8ZPrTUj80yffNYp6To7Fpzvkgp34COPzs92rBAFrqixZgZLvfvp3y
+NLiOg5JHsgLM3n967GkFWuqPFuBBzqz3uQNpNCWuvz9qgAAvX/of+zyIxoL/
+fNIC/HpvO3uQIo0UG5M1+xQEUJTJ7tFRoqV+aQGMN6Vm2g6h4dZv5O+KQQL8
+YfS99g6lpb5pAVS3zzNIUKYx+UZ35GQlAWLWfvv9SIWW+qcF6FbTym1WpfF7
+3Tud8KECND6uDlClaKmPWoDtIfxiQyGNu0pZRU0qArwL6RuxTkRj5H9+agFe
+f1vf7C+msf/eKUcLSoCFFXNzrw6jpb5qAYJ33It4oUbD3NlLNlEkgKjy9taO
+4bTUX02+b244U30Ejf7DbeN6hwnQ+tRU03wkLfVZC1AbW9yzWYNGYaHe1FXq
+AuypqaoO0aSlfmsBiu+756dr0Ti6S/XNrZECmGw8cqViFI2W/3zXAvg3ax/v
+HU1jIdPurqIlwNmjJj4SCS31XwtIzr/dOo+moVL2YojLaAHKkn6sdGVoqQ+b
+/N7+EKuTLI0y/5SkQokAvYqJ5vc4WurHFqD+oIFRDU8jelLoHAkrgIzcHD2F
+sbTUly3AjgclOhPG0Vj9ybnmAC/A6cayCUvH01J/tgAGiUsn7plAQyN83v7K
+sQLMHW41OV6Hlvq0BdD2uWv8aCKNTyb88CkTBNjQkTCzWZeW+rUF+Jreu1BV
+j8bFFvnbERMFaP9UssZwMi31bQvQlSp2WadPY8vZeutvkwR4Nu/VgUMGNJ7+
+598W4PDHvqikKTTGzn/YMldfgMC4uOQSQ1rq4xZg/+0bjzqNaHzrSgy+OEUA
+x6WTakdMpaV+bvL9K9oyM6fRSLviR/czFsClxl9763Ra6usm9atrY3HMhIbn
+8o1YM02A+Y9DXW6Z0lJ/N6mnV/onK81oGA4wW5tpQvYXMBf9ZtCkTv/v8xag
+bmjhN3Ymje4MjS6BuQBZiTc0Fs6ipX5vAbzdZaw9ZtPIte+J2jFTAPmUewEx
+c2ip71uAU0HV9+5b0PBTfT+xaLYA8ZMdO+staan/W4CGz7aTlObRmI3sYsaS
+3HfxVVe9+bTUBy5AqoZd2korGgqup7f4zROAHbr/54EFNJz+84OT+nv51+jS
+QhpFGt79q61I/8ZU+RYvoqW+cAEyzmkWf19MI+zZsnijRQIYqeYPU7Ohpf5w
+AdzGPHA0XULDxkd/2glrAdJG0FkOS2mpT5zUq8ZnxRBbGsKxVEXbEgHUNv+z
+S19GS/3iAqzid9+tWE6j4u33nVbLyHmeWyDqW0FLfeMCrO7x2UmvonEm6OXQ
+KysE+LJ3QOn81bTUP07Wa/11svsaGuum3Lgmu5qs97bkdPRaWuojF2BnzZ2+
+3HU0RteHWaxfK8AUpfNb6tbTUj+5AB47akoHb6RRF+VSm71egE/m3uaT7GjM
++c9XLoBfjl3aCnsaV2ZaHRDZCRCrnqB9YBMt9ZcLUHBiUvRFBxrO38eou28S
+oMhBNLR4My31mZP1PZwf9N2RxoSEgXeebRZgWttLWbWttNRvLsAdzSu+pk40
+vi9qsOG3CqB37Fm/zc601HdO8my3+aGQbTRu9T76dsiZnIe67MCbLrTUf07q
+MVUl/O12Gt7XLx756CJAods2tX87aKkPXYDRcaoXGTcaU9ccYqa5CvB9p6ze
+Anda6kcneTbepGDnThq9g+zzT7kLcFM+3zbGg5b60gXQNQ9rvO9JIz/LfN0P
+DwHMxed9v3jRUn+6AG8e/x0+xJtGwBatPwt3CTDheOztybtpqU+dzIc0/6Wr
+99CwFPedSNpN+mNLyk/fvbTUr07mwc8Rp6740Bj8qEp3gI8AwqjnU1/so6W+
+dQGUg/JrOvbTeOFx79nG/QKUD/19dMRBWupfF+CQ8/YpM31pRGif2ZpzUACf
+SkndVj9a6mMn8yx++Ilwfxq2r3bLqfkLwHcvtLhziJb62Ul/j0N3VQCNYb4r
+EjwCBJi5yzW9fyAt9bUL8FB9jfPYIBqVOlOmlwQK/v//DzA2wbTU3y5A9N66
+Wu8jNOKqhW/HHhEg+a5vYtxRWupzF2D3+uUOj0Jo2IX+9AgMEWBQkgPfEkrj
+wX9+d/J89bVWwTEa9LRS5dowAdrM+EzjcFrqexcgiary23icRkNjWrLJcZKP
+sY8WBUXQUv+7AKNG1WmkRtJIPh1uGRNJzqdmSltZFC31wZPn2dyCvydo7LDc
+8bnjhABR+rtOa5+ipX54ARhrO7d50TQm/Vpw0DqazL/7++e7naYR9Z8vnpxP
+YREbHUOj4+K4EddjyN/TLAfknaGl/ngB8vN+1tedpZG5dHCmQqwA/ae+eKJ4
+jpb65AUY6PQmRS+Oho9s45JNceTvUYonV8XTUr88mc//XA74JtAwTS9szUsQ
+oK/zj9OV87TUN0/yJC99xYtEGjIbLx9VvyAAzkdZdl6gpf55cn4NccYjL9F4
+OPQwu+uSAJPelU6YdZmW+ugFsLmvQztfoRGUu6ng1RUBFnxOHxlxlZb66QW4
+dGzNsKwkGlYuM9dPuCaAluI44cdrtNRXL0BeohYlf53G0BGju4OvC/Ak3kg4
+IYWW+uvJehZ4DbNNpfHq6b+TdakCuHaUjfS5QUt99gJU1iynE9NonNj9YZJ5
+ugAWj/9OeJpOS/32pL45GLffpLGCy31+NkMAs7SLlsNu0VLfvQDVKVdXmN6m
+MeLNWafft8n+XIqdNt+hsW9CiCGTSfLHUOlAaCaNDwF7ByzNEmDFOucTGVmE
+/6qcXvtmE54aU3+9MpvG+cmrzqfeFaClyadQ5h7hlZC5rlX3yDz6NqGOz6Hh
+UGtoMjiXzGvfblnrXBqPjTlFozwBJrZ/knjnEf6LEL/bfF8ASegni7j7NI58
+HXAlCiQfE7u2PQKNZrNOz/x8AZT8+aiWfMJ/0XUz2wpI/+xxzaEe0Ehtfa2i
+8VCAprfPGqY+JPxn8eDD/EcC/G01E9k/ouF+7ub13Y8FyFR8MvvIYxqvO87v
+vVxI5sVBh11phTT0F0TMLXsiwMoY4bWKJzROXfAVyxYJ8ONaxce+p4RXul3r
+JhaTeSOXMowtprFqyYab654RHvkdZbPwGY17SYt8Q54LoFMWEub5nPCfjOmi
+7BcC5LZEFZ99QePAygkjG0pIPUQmKz4oIfx3Y2ST8JUApcNKFza9pDFDQSlr
+Zim53xfykaqlNC6s/3vY7TWZ7wPnvTV6TUPuTtPSuDLCY8NPj9pYRsNxSOXo
+Z+UCjLf96RxUTuOJw9O2P29I/Suuzkx9Q2NMTlYu91aA7IjiAW8qaIRQV0OW
+vSPnM81yee9bwn/O0asOVRL+WvfsKl1JY1FBIJf+nszL+at7rd4TXhm+q/ND
+FemX5e1LPapoqLpvfqD0QYDmirDrZ6ppeDyxjZj6kXweradQ8IHwn9bsDVs/
+CaBwtGpT40caU7wnTzhVQ/Jzc2iBSg2N0y+0/z6oFeDjoBkSo1qacLjg6ffP
+pH6f/Tm84TONNftlorXqCR+RjQbWEf4ra3dY+IXwg7yXTWo9Dc3xn/R8GgRw
+GjvlbvkXGr6HSvolfRWg41EX3dtAo6Yy78WbRgFsdXMi6EYas/RSY+WaSX/j
+YL8FTYT/jpxz1msRYOuLme4ezTTka0KNNn4TYHi6XN2ZFhpbjfbJH2sl94uH
+Kwu+Ef4L31Z2r43w6jL/ksZWGuMaVic2tpO/P54+V7Wd8IrpfLdhPwT4uf1n
+gdF3Gq0njU3n/BTg+YVLZht/0LD+xit5dAgwLn9JXtBPGumz1SoTOkm9aHWb
+3uigQcUqXH3xS4Azw87mv+kkvPLzl1fPb8L7/Q0s+n7ReDP/y6yxf0h/mhQ+
+Y7poGCWWq67sJvygZbNs4R/Cf38efjz8V4DpcqUfPbtp/LW+lZLRI0DYnHku
+sX8Jr1y94FPTS/Ld9E73gx4aef8i5yn/EyBhvlpIcy+NUSv8h5n0o5D7cIcG
+9Y/wX6p7vbMMhUMDs9On9mPweYBdxmlZCunuvyztZRjMWWft97g/BbO17Kcj
+sgwu3zJb3CFHYSM9d296fwYDlSZqaMtT8GXXiN/JMXDapNm8WIHCnPvrb/WT
+Z1B8d0j2/oEUwqyW2PIKDCYIegOTB1Fw5w1+LR7I4JhTi+27wRRmZ8if8R7E
+oB3vtRWUKETMe2wWP5iBjVpxu/4QCiPneTQ8VmSQ4Xo3z34ohXrlIRGtSgxE
+hUmhx5UpjO6JnC4eymCXZszqPBUK5i5yTSbKDN56BfMtqhRa8jbGbFZhYPzc
++9dwioL80ivzw1QZnKW3PLQUUkgKqui9JWDQ67M80ktEgc9pv1lFMVj/es7G
+C2IKQ6x/OMmJGGCsgc6rYRQ0L7zXHi9mMNqf7ulTo7BCdL166TAGh95RRePV
+KXyT33TGR41BvW7/06tHUFjw9t/KC8MZWAT/2Bw8koJ6k9/wYnUGVz/WTL6j
+QUH/3Nf3P0YwGGT4SqZOk0LakskJ6hoMth1DieooCu+22TnO1GTwvP7GObPR
+FAzn79Rx1mKgYxK/bbs2ub/Fm7siRjE4fuKY8VkJhVvVxg+zRzP40bxf4SlN
+oXN5W0SNNoOls7aX/2IoXNM4bDeIZnD7zNoLNEfB5US33iSGgfiHlfsSnsJQ
+zcXyq1gGu+dNM/MdQyFGw/+9L8egMmHskNSxFBb+irx5lWcwrWv4+/fjKFxQ
+9At5OYbBucWDkgZNoGCZb+XYNZZB3+WuXYY6FEb5/Jg5ajyDjX0NszdPpDD/
+nOfouRMYFCyrEETpUhgW+krGTYeBJOXxJ0yioHp9YF30RAaH5e6ktupR+GM3
+/Ml9XQZf1lzaN1KfwgNB/9SGSQzmZpyYP9+AQrzk0UnlyQyuDQ5Q2z2FnP+f
+9QcN9Rko2nt8uWRIfu9vifMGAwbbs+1vvTYi5xU2bGXQFAYvVJb4y0wl3xcb
+WN4wZKC7dYb1xGnkvHs4owojBpH3dTXXTadw8XLb2H/GDH6KR7UcNaFweW+I
+FjeNwbIdynezTEk/fewWLZ7O4M6jvqAvZhR6ppsM9TZhoKbRukw4g8L1PzYD
+400Z7PWslsycSdaz30iu0IzB++Jn311nUQiZ2C7TZs7ARJJz/9xsCst375YZ
+NpNB/N7ksOI5FHmffylrNotBv9Iza/5YUJi+o2vAltkM7MccHcPNpaDX0jo4
+fA6DB757ftvOo7AtMUM104IB83brI//5ZD9/5qh/tGQQNHFlVJoV2c+aS7TC
+PAZfAy3tPiygwE16pTtxPoP5H6ZMVFpE6uXzE9MVVgySDdhe48UUXlWHLDq4
+gMGQMFHxFmsKmcHDN15ZyGBHnVzMSRsK5YvcPUoWMXg5rcPxwRIKx85EBv9e
+zEAv6rP+96UU9r7ZF69lwyCqqVRWaxkFh+0TsyyXMOicUfBywXLSH0VJpa5L
+GayISY/bu4KC48rm1mhbBlntCS5XV5J+OfRTCcsYqM89PvXNKgoD7uSP/7qc
+gU/8wYFya8h61y5bpLKSQfWvHW8mraXQ+jnF3WgVA7NF6y9uWEf6ObPo1MbV
+DBIuLdwZtp7U96zk3OA1DGR7p5vf20DyrWPRl7S1DDbZjh/auJHch+FtlXfr
+GDxKHlEltif1t6d6uswGBlx/xWuzN1Eo4Audx2xkELy623unAwWbdPczNnYM
+mtIb5yRspmDhV1W8x56B1aB31AtHCh7yCv/Ob2KQsvFJzd8tFD6ktk8ucmCg
+nJV5Y4wThbyvp51/bGbgpnxl/wpnCge1/yWqb2FQ6njK6vA2CijSrp65lYF+
+3uHhGS4UFlv3H77NicFJkVfDp+3k/rUTlkc5M/jt4nB7qCuFuBtdJ+9tY7Dy
+4dJD091IPW5RqvjswuDuiFk2zu4kP+9WDlfawWCkh57W6Z0UxqhtWq/vymB/
+0ehvjzwoPGq7eHGtG4OPo1Xv/fQk/ZQe3xLgzsB8T78jo3dR6F+yZErKTgaJ
+L9uWL/Ymv5eZ61fuwUCO/0jv300hsOrji15PBpsPvvhxbQ/Jo9QsDXYXg8I3
+uXi7l8KyeMsdi7wZ8Dopx+T3kd/TCsWu3QyOHo5dq7+fQtT5w8L4PQxaqkLG
+2h+g4HdqsnPhXgYL9X26wg+Sz24n89t8GNwIcX6c60vh9vlr6mr7Gah8XnWi
+2Y+CV+xOL/MDDHZOnWc//BCZR69bXm09yKAswkjXMoCcf5aaboQvA4NGrs/z
+MKkPdIZn+zGINh/2LDGQgunaQ99r/Bl0RcufeRlEwblfvu3gAAar2zq39AWT
+50elZusdZpBjUW8w/igFduL8UWsCGWjElfVfHULmz/kTwYeCGBzsfPAqKJSc
+R1Poj+RgBp8WZMTfDqMw5aDe+rIjDGZeTNz++Ri539cBxT1HGVz8GzFN9TiF
+h2sPTWVCGQxY6jfILIKCIHxC8sIwBluuuVW4RFJI+eivsesYgycyGy+diSLP
+P/CPiAtnMHbVYo8nJyjcTRuvUHicQWia6YxfJ0n+jvQ90BbB4JuCjjIdTSHb
+Z9/vYVEMFm/QqLY5Tc5rzuid5icYpN1RSj4YQ8G7bXvr1pMMBEN7dqecIXnc
+bucScYqB5+Zmi/dnSf7m9jRnRzMoz6kUDjpH9ltisr32NANDYVHtlDgKW8/S
+7YPPMIjZlp3mEE/BKibNc/JZBt0FVw9EJlAYa17TvSaWwVr10wtwnoKnwh3/
+gHMMct2D1FsTKRQ66iilxDHQerrr64iLFH6Wz4suj2fgN8rxzrxLpN+fKdB9
+CQxqvZcFeF+m0PVgy002kcHsktlLLl2hsHqy08zFFxhcYvVHvb5K8i5Kscz7
+IgOFA5LWftcIX6xbtCXhEuGVckGOTjKFQYMn9Ty5zKBovOzRtdcpSAQZkd+v
+MBgf8H3F0RSSj22vx6onMQh7/4nJSqUQrB71cOY1Bm16L3/W36DQPKR9w7Zk
+witH7+dT6YRHZjX1RF1ncLMmNXzGTQrj9P3O5qQwEBrHrXPNoGC85ta0+lQG
+XsfDxp27ReGK3qHqIWkMKhr2/Sm6TUHW4JvvlHTCK2YuhV13yOfq78yGmwzO
+nFpzks0i6790/FlQBoOeb/M32WaT+x/01DPtFoN1c6ZO8r9L4VPAGc13txnc
+jx3z78Y9wieRckUymYRXOtSeV+eQ802R9x6bxcDfauBZxTwKMksTmKXZDOoS
+f281vk+hr/dluc9dwn/dX6ZsAYWvY08HXbzH4IrNG7mT+RTEyzunPs8hvJL0
+qLSggIJST0NbZy5D+uR2QvsDCvtjXC9r3mfwbMXFHZqPSB4mh6y3BOG/G1HT
+Fzwm9ZY6Tc0tn0G4/KHBewsJ/406+Pp0AYPv63a+vfKEwvADy47nP2Cw5Lbd
+5fKnFI7OyVvU9JDBLSUbz/7FZD52ZA2lHhNecTCfOekZhe0D57ycVsjA+95E
+lQ3PKTT+s4tyeMLgnUDrQ+gLCtQq5ZVhTxlMdR56/W4J4dfIBZp3ihjE5vfu
++fqSgtvY4V8+FBNeUftmKS6lIEzwvKHwnMEGtyrR7NdkfTvX79V9wSC/sPiz
+exmp31FvLFaVMNDWupceX05Bbcx7of9LBgG7rh18/obCcaXtdddeEV55HrPw
+bwUFk/kht1+XMrBkjowY845Ct51BcM9rBkn7djcuryTz/bXzWqacweCyLZkB
+7ynUaI3TW/SGgcu4FYcJiOLMY69B3hWEV/wtln6qJrw9d35t/FsGEysNRg/9
+SGEuezXnyTsGEZOYtmmfKJR9Onb6eyXhv2BhrlMNBd0/vV7qVQxsP/UPia6l
+cKq9w3ZWNeEVw58rH30m+TbXw8DlA4Nh4bXszzqyXv/dw05+ZLDny6uOUV8o
+FGnJ/c39RPjPJL9gUQOZh4miT19qGEw/mXZ831cK1WHXHyt/ZhDXEr/+WiPJ
+Y/snqUZ1DP7NCh//tonUz4Wtp+3qGdidPdA9oIXwdFnooaNfCK/82P5k8jcK
+dV76bhkNDOj5607ZtVJYqbRhfdVXBoHnFziEt1E4oK60aEATg4auaXq57RRO
+S6aZ6TQzmGc9rl/zd3K/yc2TVrQQ/rui/kLtJ4XD+hqs7zcGSv8GxVp0kPeZ
+WSUjkloJryz/4+TZScF/rQxV2sagJOWrYeIvCir9MxT/tjOYNODtgJe/yTy7
+93kA/YPwytrC171d5PcGR8ks/MmgI+PO+XHdFE54os+rg8Fyxcuuq/5SsD2w
+rTeuk0Gm/UmToB4yz65H9Rb+YjD8boDi7V4yfwOM/rX/Jryi6vmuto/0f+gq
+WfU/DKq2brqi0k+Ir5a/5Gd1MzDFEi9TGSHOmQwd4vKX8N+wmbNcZIVQ+5kg
+PNnDQMZ1kuqZ/kKYt6Zo5PUSXnk86mOhnBD8bX2+oY/BQw2VlM4BQgx9oa+v
+0o8F6/Vvr0RBiJX3U2YYy7AIetY612agEKeU463tZVk0Sj6IDw4Swn/OQLuQ
+/iysfJ7XXR8sRL+vX3fekmNxvTTnZqWiEBoHzAOrB7AYOva678AhQqiEDz0r
+r8DC1e/soilDheQ9dUn6xIEsXr09OtJBWYjRZkpPVw5iMVl3b1OEihD7vk2t
+9RvM4kSQU9Z9VSEYgw891xRZ/PqwMvCbQAhJXKdamRKLFVPm2o4QCnExzXdK
+7xAW2WGG2vNEZD2dB5axyixG1LPtu8RCZP5s81qswmLfdHHexWFCeBi8jt6t
+yuJD1IDQUjUhFGbx984LWJg1d6zqpy7EjkutH4soFudn1nE6I4TkPYqR7xCy
+6H/mdeeakUK4hT2foCFm4fC94MERDSFKmPrlFsNYPJ57MyJTU4hAIxc/VzUW
+fML5DfVaQqxbbJ9yejiLI7+PT6BGCzGr43FlvjqL5kW+f821hYQHYwY1j2Cx
+4LLr0x0SIR6rVBoLNVik9q6PjqWFUDoXtM1Ek4XKskWbixghbn46H+eoxcL9
+usnkLpbsx5F/HT6Kxev+E2RYXoiJ2eqDskez0F8zsmTpGCHaN+02r9Vmceqm
+4jm/saR+vpvvUaRZdA3663xjnBCurR4Z+gyLVXZNRtXjyXnUq7StY1ncy3on
+r6gjJP992PggjsVIladlRhOFmNIW6JzGsziwJSvRUVeIaPUN196NYfEp74rb
+iUmkHl3jm2XHsZghjjYt0BMifK+lzvjxLC5sD1RqnyxEVeHyncsmsJB75FWp
+YUDqpe5Z5gEdFo4jN1+1miKE8tqkvisTWTzxsN21x1CImJxmi1e6LMYUz5p9
+xUiIJ5FRx7snsQjRniwoNxbi1baE95LJLFr2aH+SnUa+X67KL9RnseiVaqru
+dCHk1zZ47TJgkcbL7FtvIsSGY6MexU9hoerbPi/UVIiWPzmip4YsPCo+Drtr
+JsTl8TlbfhixKNMpqW8wFyL5lsa9EVNZTAnMyxDNFGLGqBrlOdNYnK5O8Zs1
+S4jy3gGOO6az+KN/brH7bCF63ofkRpuwWBMaqhE/h5zvvJ3ifFMWOZ99mp9Z
+/H99WW5NZiw0p23L7rYUom7IhmfUDBa+kauD+HnkPA45jDGZyaKmcd6y5fOF
+GPLwSZDjLBazZhhLAqyEmLQxpCF8NouLp/nv6QuEGNuQPDd7Dgv59mH3Py4U
+4v7XMcm1Fiy2WiqEDVksxMcOOWWluSyexv1aPc1aiPiz0z0N5rEY96ued7IR
+wnD7y8r181mELSz/dWqJEIrd92cGW7Fovfjw4cOl5PnSwdfTF7Cw7smI/GEr
+xPmgNPH7hSzSl17YOGo5WX9Smr/cYpbkaqTOohVCbCwa3D7BmoWXrH+Pz0oh
+Ju/NW7/ChsWbVe5FSavI9+cXv/BdwsIofePpitVCiJ7rml9byiJmoLXjgLVC
+aEa13nxty+LvBjP9yeuEcNeR43qXsViXqSNrt16IRl33WHYFi7yhmi+PbSD9
+Nt6Asl7JYpTjkLicjaR/MxaH7FnFwi+3Z1uTnRDNKyB3YTWLz8IWY7VN5D6u
+Bx58tobFHJf3ChYOpD5nJf7tXMvi8oOico/NpF7SBHu01rMYOOLuhfOOQtwK
+qPg9dwML551J7iVbhIizbffeuZFF8dPTZr1bhWi7ufbPWTsWE0YHDxnnLMRv
+vZH7HtmzOLbb+/3KbSRvt+r0a9vEor3EMSnQhezvS+Rhtc0slnDLvW9tF+Kk
++TylmY4sMg7MmVO7g+xX0ebEti0sRG/0KRU3Ie5WJmmc3Mpi1wS6xsRdiLMz
+l17Nc2LxNoC6sW2nEI4VC/S/OrMwrpLdH+MhRMSEU/mqLizOTv4xv9BTiDvv
+dKynbWfRe7RGrdNLiCg38SeHHSzW1778ou1N7jtogfsxVxYwxi3r3UJwN1/2
+z3JjoR1xw//AHiFUgxKja9xZHPoaZ319rxDqZ/PHK3qwqDc7plnpQ/L10IQH
++p4sLKL3tyjsF+Lgm/rV671YXG11uWtwQAjdMU0/g3axGGSxNnjTQSGuqU49
+lu7NYts5q+URvkL8YMrHvN/N4nnHVPq+H3m+5+5jub0sdBaM/dHiT/JubLOD
+jg+L4xeGQz3g//Nvs9zKfSx+dA88Nvcw2X8Tf8lvP4ulS7rW7Aok9XjVwDL5
+AIvbSQ1jLgYJYaIe0lR2kIVYpuL3q2CSl+V8eJ8vi90rHz/6d4T0u/tQA96f
+ReWN21ETQoTQCpxWZXOIxTSFS3ZrQoWwvHYjwCeAxbn1JyYeCRPiupezzqXD
+LPpuH+q9c0yIvoPb3r0IZLFxiEdxXbgQlN3Nw11BLAoc7GMEEULUpJlO1j7C
+QpJjs8U8UohDCiq1VkdZHKZmGOyIEsK4l4n0CmHxxVm3f+wJIezH+s6KD2Ux
+t0Dr1dOT5HlO89eTMBbXhivH/z4lxOywf0k/jrFQdO9zYU6TedQh2TDyOIvt
+T75NXRpDzrPzqMgigsULreqBfmdI3o7Vf+4ayULX+9mb1LNC2I3XCoyJYhH5
+4t7Fqlgh3kRZmT84weInk7xzcByp9+6svy0nWSzbf8bcKJ7ke7djljiaxZ2y
+I0MdE4SYPmHZLvPTLNTG76mKOi9EwPhDBs4xLPYe2notP5Gcb2R7Z9QZFu8r
+V+xuuyDEhD+xmblnWZjoWVpoXBLib3fQ3oZYFnFHpgitLgsxVy/dVDWORb8a
+pnb3FSESjNXkpsWzsDcSpV2+Su4/OafIIYHFg3C5A2VJQiyWxEUeO8+Cafhp
+JZsshMu0nDVZiYRXTD8P171O+itczNZeYPH1ZGnDuhQyj7Kvf1e8xGL+t/zb
+Ialk/i4/kGdwmUXy7PRD2TeECO0XErrhCoshsQk2DWkkj2xL1xy5SnjlZ7iW
+6Cbp95al4zOSWLycf/DbzAwhBjsq91VdY6GXuOOe2y0h1qyVeyV/nUXUn3VH
+4m6Tftimd0k3hUWn9cIVz+4I4aAbs3d1KuGVq9OZ7kwhnlkY2QTcYJH1b9xP
+LluIPVbKY1LTWKivGJG/7K4Q4vcasm/TWfikDg4/dI/cb+SmKpkMFtUDutem
+5wjhPfRT5rhbhFfWNY79mCvEtJbIE8tus0i49bZL6b4QrU98dh68w0JW6cnj
+qRCidsYZm6RMFps2ZZ7Ymi9ESMe3Sa+zWDy6e9n+VIEQvgd2Ub3ZLDjBKd2H
+D8i/v3/yL/Yei2Cnw33fH5L6D6crrXNYNMHzmdZjkr828+7vzSX8p+ZwZmEh
+Wf+m85cu5rFIcV261ecJ6V/78WEv7rNQLpw5JempEM4tjV5dYOGmqSdXUUR4
+LeHdBu0CFqVeo0vlngmxX+Pv/AUPCK88V0nQe07uW2aR4a6HLE7S/XZsfEF4
+r+UVnfCIxW+ftmnHSghv+QRSRY9ZrHz9YVDOSyHeLt7Wv6OQxd2xLyoaX5H8
+UfDt0HhK+M8/99Kw14QfZz78YlnEYv+76x5zyoRYFG9Y6V7M4qNu7AyPcpKn
+ee9enH3Gwjw4RPn8GyFeml17+Og5i8SPe6tfVAhRWnD1XtsLwiuGzsk9b8n6
+G8oyhr9ksfnYqj1jK4VwWqSTMusVi8L6uZYr35PP0beubC8l/GdiJAqsIvNk
+05YL0a9ZHD3Bfc6oJnxnY5GQX0Z4pVmcXvOBrEfOJq65nMXCWfIHlT8JsWlE
+0DlRBYsbZzoXmNSQ+WX49ZzZW8J/P+rUt9UK0dTtEe/0jsXOeWVfT38m82/A
+2MSoSsIrCQ/uPK4TYsCfQZdz37Mw6LoZ0FEvRNEuKrmhikX04sQl2g2kXkdZ
+pKt+IPx3OWKU9Vch1kafz5r2kcXqPt/W/Y1kfuxn8jd/IryyzC0nuUmID56v
+isJrWGikbDj6rpnUg9al8uxaFgflFq9U+CbEVu1TNZ8/E/5bY8oatArxryW9
+dUg9i5kZEzrs24QYdWVwr+EXwiuDNQqOt5N567lHyb6BxQB7peN534Wg9wzW
+CP3KYkv233UtP4TwXHFf504j4RWV5nHqHeT+rE7O+NTEYuzWyj+WnUL8vH91
+2eAWFqH3nxZ6/SLvF/pFzvrfWHwTZ5+88Jvwj6mm3/pWFot3XN30qovw07Pg
+08FthFceRU/690eI9Qu002+2sxBoBP0b/1eICqqsqOo7C0/PXc9X95D7U71Z
+L/+TRXnx5rPBvUKYGd+QmdTBwlCyzOlOnxAyt4s013QS/ts727DunxC39RRN
+Dv9i0f1q8gCBjAhfX21be+M3i7VjJK/NZEWY/6R537suFrm+gvPb+4swqyAs
+rn83C623Mq5n5USY7ro4f8JfwisTv09/OkCE3xm69St6WNQGfhr8W16EJVMn
+DfbvZTH7Q8lbeqAIfS+tda/3sbhkcP/ykkEi3FIOX/HmHwuFsFRP38EiUgfN
+B/vJcHCqOzczVVGEHtYxaawsh6JpYSpVSiK8n9f32rY/h/FR+z4MGiqC9o2M
+fwfkOIQ1bbtuqCyCT8/h8UkDOLTNWLN3s4oIdys8V7+W52ATM39ulKoI0V8O
+HulV4HCz3VicLyDrK7mczQ3iIJw7pq6VEqHQsLHJZjAHr3i1myNFov/7KTT2
+KXKo+KXgO18sAjP6vvVlJQ7Gi34v3D1MhI+tNodfDuFw5tKXEZfVRFB403e3
+eyiHnp7yxtfDRVi8/9F3WoXDOttHmTIjRAgOuTRmsSqH+8m3Dk8cKULclTj7
+PQIOo/tfXLpOQ4SE3WmxFygO/qujRodoipBxqbLiuZBDXbp/W5YW2e+bkcIu
+EYc5g3bmfhklgnX6LhvtYRyubLQLEWqLcP9DQ/gCNQ6DsqxXzZSIoCTvVrJr
+OAdnZXPOjRZhQMlQlfPqHJ45Tuw8x4iwo+aBTfEIDhPyNB8UsyLY1B870TmS
+Q7hoaMQfToTb/q5vtTQ5fHfpXc+NEaHKbrPGfC0OSx62jF82lux3nNsmz1Ec
+bo2o6vYfJ0JmYPi1uNEcxB7FT9LGi7Ba48GPJ9ocvIvunvowQYSH0YOn/5Rw
+eDf6moPSRBHOxm0O1GA4TN0TozdVV4Sbla9fWbIcYl8G99s6SQSTTlvNnRyH
+Pm73i5N6IhhEf90Wy3PYcHBL7IPJ5Hycjt19PIZD/pvlzt/1Rdgithj8fSwH
+bR0LI60pIhyxUF4zYjyHgMMG8gsNRbhxofH6nAkcvlTRZXuNyH1UlP1z1eFg
+qS9MvGpM1hfycumZiRySQvq7vZkqQohz1dWHuhwGf/5hIjddhDsaXX2tkzi4
+TK1V1DMRYetiyfLhkzm8iHj1boMpqYekdamz9DlMbMSVMDMRdlVcVthhwCHC
+PM3rnrkIl/z77E5P4fAjOn5W4wwRZJc75BYYcrBtO6Y6bJYIk3sqhn8z4nDH
+4sDH2bPJfY1a5T1sKodhcdtTds4Rwd6loXzGNA57Otf6JFiIsDDU38BlOofK
+BQvmvbAk/Tt27KlTJhymX5w2rGeuCO4/q3/DlEPc37H1Y+aLYBZxbnWzGYd/
+S9QzVliJ8PTG1jzRDA521wb5HV4ggvNfU4n5TA4FMn8WZSwUwVhz1BHnWRzo
+VV9H1iwS4dlDxfYTszkEplU0DbUWYdBZmZX353BoUCjMmm4jwo8FMvmNFhzm
+bbgT6LxEhIuBg8cJ53K4dueS7emlpB46Rp4yncdBaehJ7ce2IjjNNJJ1ms9h
+x+aA9p/LSL9prHWNsuJQkuORN3qFCDsnBVfnLuAwSbgpdPFKERLH5Sz4upBD
+1LYlq/evIv2c9TtHsJhDR8EMPnm1CJMOT9UxseawXH3Sr7drRNhmGpCwxYZD
+pvuoh/LrRFgfUUZFLuEw/KlypP56Ul/jxgXnLOXgM+rfBvsNIqzIDur9Ysuh
+yrt1wvGNIogaGz1Ul3MwLan+m2snQu8Wm+ZpKzjEs8+fNtuTev2cu8lxJQeZ
+AznRwx1EaBs0sfr4Kg725cmbLTeLEBZ8ccW91Rwejj872ctRhINDNF/Xr+HA
+BhyVubCF5J3F2cUq6zgEvd9T8nIrqa/aEc+nrufQqOd0rs9JBJfweKvNGzhY
+HV25bfw2EZb/ZYrDN3K4XmNpvNpFhO9lqVZ37TgMNTZUCN5O/r0i4+d19hxc
+j7Plt3eQfA15vFjZgcOrBtGFz65k/49tXxtv5jDZbIC7qrsIeWPqVjg4cjhx
+qsPUbKcI7xw8q49t4fDr22el7R4ilLIDHLK3clgx53XlGU9SX5qnmj87cciO
+Lbj6xEsErx7Wc+g2DiM60nf92iVC+47MXiMXDvuszs+md5PzYCyDN23n8CHx
+uGDJHpKfr8qpYzs4mHUf/HRwrwh2ozYlZLlyOG/jmpriQ+7zQeuEz24c+iet
+3/d+nwhdy3fnDNnJwaHfovmDDoiwJ/WflZEHh8crTNQMD4qQ7BRQZe/Jgb8x
+/ouDrwjlRvI7wrw4HJEfeSvSj9Tbs4B+Wbs4NK9T9Ie/CDll/6JqvTksuN29
+uPWQCGdkvfkhezikKjVpjDxM8kG+KddwLwdlh3fN8wLJeUSstLX34eB+70m2
+dxCph2UFzaH7OLwWZAVdChYhUIYLyNzPQd/5yrLXR0i9zg3UqD3A4VT+KYlM
+iAjfKj9mKvly6FIL/K4TSvLRefJSQz8Oq9y87q8NE+FUkm+bnT+He4UOYUeP
+iZA+qjA09BCHkVq2a7LCybx7Ij8uM4DDgV2zxnw5LsK1yWZFNYc5fHqu95uK
+FEFIuTkrBXGYwWg/mhFF8nF4jKJhMIcL+1SjXE+IoNuVnWJ3hINcWT+7cydF
+WGBfah16lIPjuHad4lMirBxc23EnhMMT/489XdEiTL3wNaYmlMOYyhdFbIwI
+s2/Vmykd4xAyKe+07Rlyv8bvvkwJ59ASnOLof1aEpY8Ljtkd57DoU6x+WqwI
+i5QSDUMjOKQZhsp+OCfCz7xdNXciOaiG+7xUjBfhTYR5aE0UB48vznHGCWRe
+Gf0zVDrJocxktcuW8yQ/t9ysm3KKw5ST86aeTBTBNnZVpF00h9MtRgMfXBDh
+7ecO89DTHP7M4t+0XyTnU3So/U4MhzVnh13UvCxC5AD58zVnOOT+kN+54IoI
+QXN9lijFctCc/8ts71WSd3M/yxme4+B7vn7I1SRSH/dMsuziONR0lb0vvybC
+J6WjLqHxHGZZP0zqf12EEVuejM5M4HDpSob3pBQyDxd0VdSc5yD/L3HOhlSy
+f4/h4UoXOGxdHkmF3RChPnycpeFFDk9T/GrupokQo6HTz/4Sh3ED3G98TSd5
+oDP6buhlwitrN+4XZ4igYiPnlXmFQ2vGYqvZt0i/Tq3Qrb3KwVrRbPjO2yI4
+JsZ8U7rGId1epyH+DplXslbJhskcqLsat59nkvrf3uxkf52Dp+qQQ3+zSP/v
+3DsmLIXDm6091mPukv5++rsxM5WDEZo1V9wTYci4Tcm1NzjEDHvfEpBD9v/v
+3vYh6Rz+7ii6ezOX9Ken7CSjm4RXHmcHf8oTwUFlSqd9Boc8jaTlQ0H6OWT5
+3bBbHEZ5naan54uQtWKTb9ZtDn7Pgn44FYiQdnKt5ec7HD5LvEkvi/D41Qzl
+oVmEV3wcjz16KAL/UPDWKJvD5dJla38+Ivlf8+L8prscBo6dM3Z0IZkvFrtc
+jt0j/Oen37XoCZmf/gONsnM4FL+VPN73VITqhYfl6nIJr+hSJ64VibBvfcur
+ofc5HAuStX9bLIKaskmCMTi0f/g+Uf45ycdUb1eHfMJ/U2p6J78QYcKts2bh
+BRwywl4W25UQ3npzVeXuAw6i+vsx4S9FUH4RV1v3kMOu6Te25L4S4WjPvtvK
+jzm8jYozaC4leXBl1pGphYT/msP6Dy8TYfC8H+s2P+Fwdub+VxblIvSLDp58
+/CmH3hiXeM83IpybKz/4XhGH9d/XbE+sEKFWuK2mvpgD5lpNe/lWhOEZd7JV
+nhNeSZg6qO8dmffvv0ZOe8Hh0O8xFePei+BRK7PdsYRD/aLhl1ZViRBh0G9u
+xEsOFpcHegRV//9znSTnFYervb/Nb38QIfZcSr+GUsJ/yxqGfv5I8mLM2g+q
+ZRy2XX9TpVIjQu7Jtpzp5Rye9398zbSWzMuqrbFb3nDQWXN7t8tnMp+aHu6L
+rOBw/OZFizN15HOn3Prct4RXBp0QPqkXYdhr3vzrOw5L7Q7Vdn4h+XldT0K9
+53A7a2ea5KsIRlkjFUyrCP+p2B+waSS8U9DYvLWaw+4tNgsONpH69Yt5FfWB
+8F+euXpKswgXlHWz8j5ymCbW/VrZIsLGbRfiGz9xOLdd687AVsLP77uChLWE
+/x4ODZjSJsKGponuZp85bBzZZ+PQTnipevEa5zrCKx7ftCK/i3A1x9LiZD0H
+SXHVt/s/yP7LRunhC4fD2s/uffspwomTlZrNDYT/9tw7MqKT9EOln5K4kcPc
+V9dWzPslwvNRf7rNmwiv8GcY798iFNdZN21r5qDoe+TnxS4R9voFV55q4bC9
+Ynd+6R/y+wWZxfnfCP/pbA3v95fwWNLV3JZWDrqBK9bp9JD3l4N70oa1c4is
+thi3tleEY1/GXJz5ncNP/Sl/jvSR+2jKOr39B4dloUxh5j+SN7Osjp3+SXjl
+s/BkfT8xcqyPBTzo4KA2TW4TJSvG5aI0n9ZODnsjf+rO6C/GvUvpHsN/c3jf
+WNu3Q04MjdWhLrO7OJjMKH0WO0CMZZNDHF3/EF45nX+mSF6Mv6liuzPdHPq1
+p23tUhBDzcdv7aO/hFcsE6awg8QYTRetbO/h8CAuXM52sBjbrzcsG9HHgfl1
+oNRPUYwLLj+WWvwjvLJwR8INJTFyGyuWuPfj8fXiuh3VQ8QYM7t8SawMj/k9
+C6YrKpP1nFuztFCWR/LS6YONVcSQTc+x/dGfx5DkcW8dVcV41fhzucYAHq6y
+Iy6fEIgxVW3E6rnyPF6uGuxZQInx2XnEeg8FHnrpf2a0C8XoO9dhHzeQR9TA
+RmVNsRhyy1q2Ph3Eo3PD22qrYWLoLl3h2jGYx4rMwuQ9amJYlkfu0lLikTU0
+c8+V4WLU1T87MH8ID3XHy5bl6mKYHP4Q5DWUx77ck6L+I8UY7FYYkaDMo1p4
++LOuhhjqm4Jii1V4mLl4pq/XFGPRCM2rv1R5JDzYdDBUi5zHspBboykesiOW
+Lrw7Sgy65EX+AiGPTTtnjvg6Woyu2V9LvEU8Hj2d1CiSiLHGs+JDopgHN3p0
+5ixajDj12Nbnw3gE71Y57M6IwXYa/OtS49FU8m9JPCvGzvyLKrQ6DyuubdRz
+ToxhJl+1F4/gkXLgQ2s3L0YG02/K3pE8lN88z+HHijHIuGXeJQ0ebhNyjy4f
+J0ar/vX1LzV5lAZcXxkwXoz5FWaef7V46FedZW9OEGPEh8tH2dE8Tk4O6fio
+I4aXQs15G20ev4/uLRiiK8Y51dbsfRIeK2udjk+bJEb03eelV2ged41XrXfS
+E+MtDraUMjxGRswdHz1ZjGe1/RX6WB77vxp2P9QXkxxepT2G5/HRjHvyw0CM
+dx5+prZjeJhHi0+NMhRj8sa9aw6O5ZHYOsBhkRGpZ/vZe66N4yFn0Tlpn7EY
+j6d+jC4fz2Pzubp/SVPF4C7Pz+ynw6Ow4/Xzimli7HYIrBg3kQe/4MHZASZi
+lOhHdi3X5XH0wk2nyaZiLH2zXd1/Eo+W7vOGdmZizBk43CRFj8fCJREDws3F
+6DwStfHtZB43knxf58wg31evDuhvwENFxu1800wxbPZ2JulM4bFz5QZXtdli
+2DlXlawy5FF2Y5GJxRwxjl+K+BVgxMNAwVTR00IM51ahZpoxj+j1E96dtxTj
+gZyjxfupPLpuj7xSMlcM36sBrvLTeaweouTVO0+M0zFuMZNMeOQ4/J05zkoM
+4ekxD9ea8tDIaVJZtUCMiQ432oLMeBykKj8ELiT9lCczMsOcxyfnp9dvLSK/
+v3PUvA8zeMwsyNpbu1iMn6yi96BZPC4OvzpXxUYM/2v5l/Rn8xjgHi02XSJG
+ce6s8g1zeGx5Eli3bSmpr9ERA0IseDzR2nUzxlaMcaeSptyx5DHWe7Nv4TIx
+8qpCt9bM5RH6wnZR53Ix5O9MPas0n8c3ZvZIyUoxftTefGFoxWPx/slN1qvE
+OER3ym5awCO9TDvrwGoxTp6TMTq2kIdgvCDw+hry/OyK7dmLeHgekrGtXCvG
+utm7LtYt5lFe2T564HoxZqz78F7Zhoeh3qc2gw1iaNkoC6ct4RFzpCR300Yx
+QmsGLnRcyqP7U15IhB05n5dFgRG2PNYapa66by8GPtjm5yzjkRt+jvu2SYyh
+JZd7Gpbz0GoI7VTfTO7bHkbUSh6+pvsezHUUw3HteS/TVTxqT26L2LVFDIf9
+8zKcVvOY/W31hotbxegfnPX9xBoel2bPn1DqJIaTaasu1vJQiDX++89ZjBf2
+TW7N63g4/eSfTnARY1/m9XTxBh5F89Wi12wX4yg/7eeMjTzGJypsPrKD5M/U
+Iwbb7XiE/fmll+kqhllB7O7T9jzarL/0q3cjeePnlfNgEw+bq+UvBDvFGDKV
+kmlz4HHz38NYcw8xCm94Wag78hCuuOW8w1MMxUuxoXO28PBKvWAU6yXG7aqg
+125beVQMiJIv2iVG5nDDEbFOPIzX+Zf99haT94prmwqdeZy55Z7I7CH5mfbp
++o9tPHoU7dyW7hXjWnjlL43tPNZtsjb18yH34xc9Y94OHvfvmind2CcmPD0s
+zNOVx2jBxMqq/WIkXV31Lt6Nh7+T5tXBB8VYu3k9W+zOow5Ddhn5imE9k/H8
+tZPHHLXeWY5+Yizun1ow2pPHFdcW1RP+Yhi7dKku9OIxqPD9x/xDYgycIWe/
+excPZ83ilLYAMZ7OeXXzgjePZ153fTQCyfwz3SBXspuHzvOkeVZBYlS2pSzv
+3sMjnI4ZtidYjGm3M5MYHx7ffYLrLx8h/TYvqNd6H48lr70zyo6KcadOvGTf
+fh63xm7xkw0l52/leOXKAR5i/+WLdcPECJ/h1Vt6kIf3uzka64+R+gqdZdvn
+y+OdrkFzSDjJp7aXyWP8eUwNprOzj4tRq6sht+wQj9iPVFBDBKknIb/ON4BH
+35T+y0RRJF83fL+TfJjHhmM/tGedEKO5fLdqRSCP/PqadreTYpSa5LnIBvPQ
+NnmVF3dKjOo1+U8mHOERcAKhz6LJPOv0Y1Yd5fGl+cbq7tNi9Cv55x8QwsNy
+VjzPnxEjKnVqzY1QHklnjv1adpbMu1V65u/DeAz+sf/hoVgxjpz4Ei8fzsNl
+3vbI9HNivGdW9NM7zuNFwtqNH+PEeFl6yG5dBI+JXVY6QxLEULVzeRAcySNi
+8bSeqefFWHlKhb0VxePH5bFFWxNJXhi5Hfl4godt3/DTpy6Qfh0S8m3wKR53
+lg1yfHiR1FvlxiVTonkMS+ma/OMS+T3H75l2p3nskfsqM+qKGE+8p2uGxfB4
+v6aiZOFVUm+vZxzOOsNjesbjcz5JYuSby3z7fJZH3OA725Kukbw9vHeZ8jke
+/+wuGVckk/7wzsmbGsfDLvuEwoAUMbwNUnjHeB4PVALK9VLF+LZvZVREAg96
+q8eFjTfEyPbP68s5zyPwvr37sTRSHwkfnb8m8mgQLzHLSSd5tiGngrrIY96O
+GUOaboqhd2TZHLNLhFce6b4fdksMW7PrGc6XeShpjEqac1uMKeIC7VNXeOzw
+VPb2uEP4ySwmMv8qj5LivtnnM0n+vVwl+y2JxyRJq6Aki+T/LW8PtWTCK3ur
+P/Vki6F5ZEH9rOs8Ol49Sx17T4xG4dsVrik8lo/J2bcyh9yXlnrxmVQemb7J
+8wNzyXxzE5g9vsFj+NszarfyxLAoQcb3NB4+E49+qbkvxqn+zBiNmzyqAvfc
+Us4n87HcNH5uBg/TD1v9TQrEqFAcKva8xSPeYKX1tgdipLlGhsXf5iETZqkZ
+81CM3ifFA4rvEF6pm9Ly+BE5z0/ZB35l8ng4jb3b8Zj0w8G1XaOzebBRomDt
+J2IyRzJ2LrzLI6hJbrn1U5If/nnfdt/j0TijQ3KgSIzxAfudLuYQXon5/D25
+mMwnm/b6klwe1//HcJmHY9VFUVwjpXzKcN/BkErc4VVEmoRKmSqkpKIyFspQ
+QtKASCIlIYmESJFG0bA0kIREKoRSIWRIUlHf+ctznnvfc8/Ze6+1fnpfPXz3
+guR9rbzjnwfqkDJ+FCVeKY9dsn0ts0D4LyV/k06VPFKsD26xKlZH9WAq7fiS
+5M+KR01Bj9Qxd3XMz5hqkl97iuyzH6vjdMbBpw9eyWPaf7uaa5+oY3B4V2xX
+DeGViJatYiWEV6zttwleyyP1q3IrW6qOuzmrZhvXycPE1sXZ5pk6hGP0Rnzf
+kH4Ia9uDywj/beTKL76Vx+F0pZ25z9XRlC9MrH4nDxn6Xt+7csIrEyRd/9UT
+/7i7wG9chToubP2tLWqUh6re9pE5leoYU9AxetN74k8eK0M3V6nD6b93L482
+yWP4Q53k0ZfqKHF5dv52M9Hr3vWnb1QTXnlwx+NTC8mLs4aKza/UESF3aeHU
+j8Tvxr3InFirjk6PMxIGrfLICOufM++1OsyfHKnb+Uke5nU9Rdvq1JEr9E1P
++iyPo6fPrYx6Q3hlt5NP2RfCX2k/awreqsP7+VqDn23yyE8X2/bpnTpqVJZJ
+qXaQ82oVfPuvgfBfgFaj1VeSJ6OVghY1quPMS5XLhzrJvJbvmOT6nvCK2hT/
+3C55hFHfk041qcP2oNiKxm7S/zGO3INmdRTV9chM7CG8n1Zyv6OF8J9G8wfd
+XnksVli5Ru6jOg4cqcxz7pPHJOn7HwxaCa803g+K7ZeHQXLzHo9P6jDUvmpW
+/J38Pj5XIuGzOi5GnuP3DBC90rOTH38h/Nca2aYwSHi/z0Krp00dLgsDb5n+
+JP8/9Jg9E3QQXjnpFuI/JA/bBRftV3xVB91ha5n5i/Cl7Ysf3p3qiDQwUa79
+LY8LxwejkrsI/8XP7x41TM4foDKrrFsdq3vUimaPEP3lbnw48E0d11ZQEXZ/
+yfNzKrbTetUx5fx4m8h/5Pmhou9mferY/ePHzLtiFG4+/hLt10/4z/xz/5dR
+FDzmZjAXv6tjXnotZMdQKN2sUFo5oI6EP4+jl46l8I/n4fT7hzp+Wd3Y7DWO
+whvVoNGzfqpj0+U05vx4CjuoqFTLIcIro04NlYtT2HwsTz/olzqUbA+X/JKg
+0NMa2pz1m/DKNa/TahMpnBnvcqj2jzo+iG91WCdJYfjdBBWxEXUs27JmTsgk
+CuOfVzxi/xL+u73k77XJFNxSFjjb/FPHeCmNF01SFMapr5IIEaOx3Vnx7CRp
+CgZzJa7kjqJRdm/S9oVTKDifcrOoH02DlR3W2T6VQg1vz49xY2kcd+8cc0aG
+An1uZpLmOBrfHtVXP5alcGgg0NBuPA0LwfOUPjkKJcMB7UfFaeR7392pTFE4
+vUUp5qYEDZmyrEWreBQ2dDnPb5lAw3dawoRAPoWV+hs+SErSqPMLf5MloDCn
+++sx3Uk05lftzagTUvj9QFXHcTKNxFkuu8cqUpixhmmJlqLxJ2idoZYSOd86
+7cjC/2jYvV7+31ZlUk+NW7pfpGk84LTfR02j4P865NOUqTSmhc7IKVKhUCv9
+86SeDI3DDVMDOqZTSPGcbrhDlkar1uiV1EwK7W+ie07L0TA61idrpEohZsX9
+85Cnkfmh5aPPLAqvc8+s7qJoSCx4eS1VjdQ7Su4fxafhFvPwQKU6Bb1Rq64t
+E9Aob8s1H6ZJ/S+cd/AU0hDpnxcwLLlP5lnZJAUa0Wei2m04CrmbK0pLFGn0
+du+/fUREwTwhLbBfiYalkUfoDQ0Kodb0HKVpNG6c22T1YTaF5mG9zyYqNOQG
+TKf9p0n21xk86zudxl6zhd8Wa1HQXGFpeWEGjbdp9D23uRSOpK6WqJhJY+Fv
+3rEEbQrrarofDqnSSLKU2FCiQ2FhsIb/TDUaI1k/VQfmUeizl9a0UKdhL9b2
+XWU+hWczY78G0jRgU1e8ZgGFA3G30y8xNFTynp4IWkj64bdvSw1LI2T8Lbuc
+RRRyTjUJ/nE0Ptuls+8Wk/te/1jHaNBYcSv21/glpN/pYbHrZ9PImhRSqq1P
+4fLc5xbBc2hMcPKJczCgUK9xVSpXk4Z70TbHGEMKfxxnV7zTolEx1VLzwVIK
+hy9YHB+nTUPDzeBf5zIK1G1pc00dGjHFsyv4RkQfXp6T7ObR6OcpJ61cQWEo
+xaPiqC6NtV5SO3xXUlgvI3Hi5nwat0pH5l00JvVMNLRsWUBDXrl7bLUJhbrR
+fNlJi2j472189deU7KcY/UZ3MY36ivJUzpxCxN3UJEc9GotUi3ZtXEX0kGmx
+9cQSGsn7Ly8+upro60ayapE+jb81iRNvr6FQmBfe+cWAxlY24m2rBYUBd6nr
+U5fSeBTsnznFioL3Hc2AJctozKh33aO/lsLItj4Dt+U0jmjaLN1pTcF30aoJ
+Z4xofDm6QjppHdGXjNGr4hU0jFt0mp6tp9BR+DapeyWNy7qqVwZtKHwVk3Dh
+m9CQPCG7b6YtBbUTqlpGpjR2fhljbLWRnEfFbsTLjEaV3ne5Q5so7IyYV3bO
+nMacuI+tVzeT+h67FvdsFY1TXdX5DXYUFsg9dxhYTeP7suKDE7ZQ+KAXPGea
+BY11SddW6W4l8zHv7V8zSxq3+1OEztsoLDUrr/CzosEzPdFxyoHCsYaNyRfX
+0th34cAdOBL924btrLKm0TC088g3JwpSRquW/FlHQ8/Cbq2CCwU7Nu8/NRsa
+KZfMVUxdKay6mPPBagMNsX+Levy2U0gzX3rzgC0Nh/Xs/YwdFPZV+oRf3kjj
+8VVBZI0bBaZu8aa6TTRUx020HeVBYY186uzRdjTCNv+aNXsnhV9G58Zq2NNo
+v9E+sHkXhYnTNOttt9AwlXz76JgnhbMO9teObKWR41AaU+BFIaxyRnj+NhqT
+C2/bf/Em/VU7bP/egYbnlExOdjfRk+beeROcaLzcHvfbcA+p583R/+k409BC
+6DNPXwrF/rPat7rQiKX2nEneS+E/4w/Fx11p/Njl6FTuR2F2t9a5gu00bEqs
+tH75U+ifK/T7tINGgeJSMbV9RD/tiVbS7jQEvpqV1oEULr3L1VjsQSPwxbRz
+wfspDNbYSm7fSeP9DGm3a0EU/DLPtsfuoqEf+E+36QCFudO8Sx560kh99W3c
+pEOkftLv0zu9aIxmmmoWHKaQvLIphPKh4Xi44oJrMAXruD2Oy3bTePr2nmdc
+CPGz5ynLPPfQUJtzRe9xKAWVO1tmJvnSOBqeJNl3hNSTuzmudC+Nr03H3imF
+k/MOn2vr96NhPm/fJfOjFI4P8Z8rBdC4GrXDd18EhWV9zFXTfTT++7xhWdYx
+Ck0FVTF7A2l4LTaeUhdJ5kdFwjdtP41XsbrNY6IoBAzX2FYG0ZjbOeuqZjTx
+C4W5+r8P0IhbKh+45QQFJWtV1VmHaPxMHGcSFUPm1feypNVhGhv6BuSLTlII
+tHrUHxRMo9D406f2UxT2P/Cozw6hoZBac13+NIWuyOxHr0NpBP18dGh5HIXY
+KP+cUWE0mldfX+1zhszPmXenReE0DDIvKKTGU5gS8OKA7VEaaSMxXysSiB4k
+LHcciaAxdt2hgj+JFN7xXK3zj9FwvuIZRidRUN0vZfA+kkbpmC3WNufI/Ixf
+yU2IoqG+afX0I8kUyiOk+TrRNI5d1+u9fp7C23q38dtO0OiaIHrQkkIh9cW6
+geMxNFZtUzgudYFCtlb1x4KTNPIKJDcuTiPz2dJY/ekUDWnpP2puFym8z/Yv
+lj5Nw8f164/4dApODun5i+No1D549/hpBqn3+y1p28/Q0JEvO/k9k/Sz93Ls
+6Xga8TsLtqhkUZDeeeQIEmgMPbkkWpNN5kO9x68rkcZGhfg/+y+T8w62ufGS
+aNzbHVZ2OYf0I8fTfvk5GorlvvFvr1DYJAyz8kqmcXC6s/P4XAqSAnblufM0
+WgKs52rnUfgZaL/4WQqNpdXLRjlcI/wkN01rIJVGuvrcqhP5FB4XeqpPS6Mx
+7tD05PvXyfkNVimbX6Th+maKe+cNwlf7CuT902k80xi1gH+LgteSfKn0DBpM
+WO/4lbeJfrboir/MJLzyvrl2zx3CTzdMxYYv0ejWrkpLK6Ag91/nL7VsGmuO
+P/B6eZfC9BW8gbWXCa+0Xl3yt5BCq+jVt4M5NKYuSp7E3SP6TOJ9zblCY8+p
+4/W29yl8c+j8/OYqjdcdgVnhD8h+G00/jsmjoWvovvfWQwpZ63SaZ18jvJKw
+cXkrKNxmrjRuyqfxu8dk6pRHFLbk5taHX6exeeWCliWPKVTeWvzuxg0a98+r
+53o8obBEfv3b5ps0lAep/Wefknql/34jeZvwyipx02clxA91mbe6d2h8TB+k
+BkspXEz79NaxgMby4c+fZ5RRcL9H15+4SyNj7esbls9Jfzf+aigqpCGe8+Tw
+wXIKay3XNrUV0dgx+uaaqy8oJPrpfpC5T+O57UXFhgqyTsv4pP+ABpd/qlOi
+ioJEVnK7+0MaURLBd+e9JPezU+6OB42eLd7hTtUUjBOZ/sfFhFfubF136hWF
+J3Me/ux5ROO6lMUM1BA++t04InxCQ9ZFv6+7lqzLQ8YaPyX8d1/jobCO9DPg
+huSeEhpvZJWiTN4Q/290l0ktpbHAY/Imv7cU2p5dEb54RuPs42H1jHeEx+T2
+zhwqozEs6Bp8VU/4MqFUNLOc8J9PwxOxRgrz1S/oWryg8bDs+SmN9xRenR29
+dH8F4RWVwq2bm8h8lXSaZ1XSCPbP1jjWTPwhePOG2ioan6oShu+0UNiTbu0k
+Vk14Re3o888fyH5jar24VzQuHfBLkGmlYO9bH7ShhvBKnYuL4SfCA9WukaG1
+hP9E67U9PxP+/BaYeO01jRehRqOTv1C4lyaf1VhHeKVR++XzNtK/p7p3JN7S
+ODF35vmhdsIDXHOJ9jsafcdkPGZ9JbxxbdKbrfU0rD6OXmjdSWGmGtqON9C4
+uaBfPLiL6NH111BBI+GVkx9e53VTmGxSMPHzexp+7S8vvv9GISptWGFKM413
++vCW7CV+a1YyW6+F8F98nv6CPgrbBHLLdnygce7b+cmu/YQP2trXx30kvGIU
+3XD6O4WPRw3di1tpbEkOyn40QHiiTulQ9ycaxQMefr0/SP5kHYrjf6Ex3Xyz
+kdJPCpGvXXKM2miEXjSTMR8iPKZTXezdTnjl98IPAb8IT51/+Da5g8ZKKybv
+0m8Kjl81e8u+0sjO5ge9/kP03aMmMdhJY+KoCWZjRsj5j1yYNr2bhseGIZ7m
+XwrnQs8vWP2NRmVe2xf7f0Q/T5TW7uuhMVv8zc3jYjzkKUzfmdlL46R9SXDh
+KB68nbPCX/UR/rt1y6J9NA+Je/PT/vbTsJ6coSQ/lodZ6noPmAHCK06nu5aN
+42GmlVn9+h80qHshhd7jebjyomEweJBGgMzuoyniPHz0/CaT95PwipvD+goJ
+Hn7JhGg2DNFY/Mhy5p8JPMw+mbhG/DeN83zDfnVJHqoeau6a+4fGP685WD+J
+B01/s6gtwzS2PVOODp3MQ8GpL1ciRwivKP+3+boUD6/bRlfc+Utjpt9fuuU/
+HsZbpHa3/iO8Utn9c/IUHmouPpCSHsWgTfX900VTeagtspuzeDQDk6AXsTtk
+eLjsFWS1fQyDy7VF2+JleRibpOh7eiyDSVzO7KdyPCTLLEnAOAa7Qs6O9Mvz
+sORGU1HXeAZV9RHl03g8FFr9a+ZJMNDUCkhczefh+/OUsUYTGMRGbHfdLyDf
+G3hIe09kMNBio3NZyINN9pY1yZIM1s9fOeatAg+Hiw/4lk1icOfEvOpxSjw4
+ySue+zGZAb9NNWWuMg/Khxc+VvmPQeASuZ3bpvHQWF/3dZU0g8a4sYtOqPDw
+crhv6r4pDJZ0f5e4P50HA0QuypzKIGV5a93XGTzs+3vR6ZUMg1HnXqXzVHl4
+F7Mw+q8sA8fvxT4rZvFQYrGmgJFn8MQ032CPGg/XqY8f11MMZqWlSqWp8zDt
+Yf/kEB6Do79ONFbRZB6mHV6Qx2fQYXHw8gjDwx25KOcGAQOzrF3+LMeDkr/8
+KXEFBlf+2a2wFfFwQEXx4VxFBlI2q2TDNXiI7Uzt2qLEwDN38cebs3lQvXZB
+cFyZQfU47trHOTxMNFE2KZjGYK6d8IC0Fg/TY/j+n1QYnL450XzJXB5st8Rc
+kp7BYFDyN99Dm4esmJA3i2cy2ODY0Zaow4PM337xHaoM7ha+vVU6j4ecw03z
+42YxEE59FvJDl4eoH0ZuxWoM9u+4YzljAQ8tc+lz3eoMmpCpbLmQh3r5o5V8
+hoEB70z3gUU83PV3GLWCZXDB80jRlcU8vJhboO3DMRhTuieiXo+HHdMjtp8X
+MXBScrKR0OdhQOn1uecaDEp816rOM+Chacy56sHZDNQrln53NOThQs778TM0
+GUTM1Co+uZSHp72Ji9doMegMVDnxcBl5/+pLn8C5DMxrpO26l/MQcf9w9iVt
+BrmMGCtcwcPu31daanQYSAf3DBmv5MFS34onpsvA+11TyV5jHr64eFtw8xnU
+zKk8nW7Cg5j5xIgNCxhoH73v8MqUB/8yhUehCxmcab4yR8ych7mFWX+uLWIw
+NO/cX9EqoudfV3XeL2ZgGx35YtNqHlZs47wmLGFQ9Hnf2Yg15PwVM3J09Bko
+6Lltv2PBgxn/9JdtBgwOnLad99mSBwfloOnRhgxaOo3HyqzlYWpRk33hUgaG
+y+a/MrDm4WRpQdKXZQwunlVL3bWO9Hea5LupRgzG9svvOree9C/1tbz+CgYu
+JuMXP7fhgcz0OveVDJ6l/pgwtIGHsJBXsfHGDOihT29UN/LwPnlszWMTBpFr
+ajPWbuJBf1Xu1F5TBl2Zj3cf3syD9s4qKwVzBqv/XjfMs+Nh9TvXWONVDK6t
+S/vvvT0P3E6/2j2rGUy5evL9xK2kPmP/yl1Yw2D32MM587fx0Lbvj02FBYPa
+TV4BLg48LLziefaXJYN5N7asPO3Ig96eje9V1zJImLhG7pETD6W5RdOsrBn8
+2raktceZhyLdWKcD6xhsuivKV3TlQaKzJevyegb3pRUPmm3n4VJ6enedDQOl
+7ZNWBewgfmPQpDXGlsGhh38El9x4+H02yn/2RgYf5Dvba93JfJ64/mDTJgbL
+dtXfHr2TB8c/5uOObmaQ/rQsdM4u8v27m81v2jEYr3jXyt6Th+WXPsS22DPY
+vidr2nEvHmakNjRM2sqgrDz+211vHm4fMp25YBsDdkb4vTYfHuxUNXY6OzCI
+2rf3mNweHoLdwm6fdGTwrdp5wzJfHs5ya8UeODGwoNfN8t5L8sD4tOlXZwb5
+h5YPnPcj/pFoEifvykDm7dxHL/yJ/474tCzdzsB39oyY3wE8iCylOc8dDOrC
+ptqrB/Lg7qXin+TGYH7TKG79fh5Wzs98UurOIFGn71dIEPn+kfNTBjwY/Dne
+Upp/gIcu7Ylbpu1iYPepKq75IA/2MzqumHsyeLDooePkw6TeokV//L0YTIvN
+1VwUTPQ4R8w0w5vB4a/J/7aH8DB64vzEah8GrYZRFWdCeeiM+9g+spuBUeL+
+pCdHeHiQ/28+48sgs9d9R38Y8buFJyLW72UgYbxJd9pRHlImn6wP9mOwI8V0
+3OoIkhcS47g8f4Zw/YKawGNkf/HOoIYABqLV9IXsSOIvbUtfigcyiM7geb45
+zkN/+KQZ2vsZ9A6L642L5uHUk5V7twYxsLL+OXHuCR7owIGy4wcY3Mj58nZr
+DFlHTFW6e5CB3Ji6zOiTPPz34oLP50MM9m58uufeKR6cVdJKpwQzeJt/c+nX
+WHJ/FxnFJSEMFk5Il+bF8ZAf8MPHLZRB0tbYJqMzPHzTNS47c4TByJ3gK7vj
+Sf8OSk57HMbA/j+ffRcSeKBE+n494Qzgss24KpH4j3JrpTCCgcoDC/mRs8Rv
+tH/OMj7GIETO4BNzjgdzk8CDeyIZfPaYfX1DMtH/Ys+3qccZrHiidCjsPPl9
+5yvNiigGWUKp1TdTiJ61MyN/RTOYuHtE+DGV6GGw/bNqDAP3510d/6XxEDQ5
+ycDqJIMKlcY7eheJ3mzvJR04xUAjoPyIezoP2++Y/7wcyyDmZeHaxAweFo03
+X/vmNIN+tcsqpZk89M4ozBtzhsHag4k9A5d4qP52ZtKceAa36o7en55NeMPo
+447NCQwoDf9Ii8vEv8edKz2ayMD/iKvtgRyi98lPVG+dZVDfuF7tyhUehHob
+Qz8kMVikveLHu6s8hHjbt05OZpAcqfNYPI+HzIiXSxeeZ/D348yTOtdI/Zyu
+pbmkMNi6UHaLYz7hqeaR0bGpDB6dHCM6eZ3Ma32B48MLDGZ09P9+cIOH43M/
+POlMY3DE4OOzrpuEJ8r2zuKlM/gSX31GcJuHq4EBR5dnMDDugZPxHR5W7ezp
+98okvLLimtbeAuLPh56vS77EQPJ8ilj6XR6a90y9W5bFYOeP6MrqQh7cZpQq
+DGYzqDQ/cO5fEQ9waz80PYfBnPSdbqL7xC/ovZ9XX2Fw6s/m+Zse8OCl72Ua
+eJXBdyvz8REPyTwdq8u7lMtg3eVFtbdB5ulrllxtHoPbo9i0T8VEv0vaAsXy
+GfBsBV5TH/MwyfnkR+46g33XJiwxeEL217tkYnuDQYP4L8ldT3l4e0k9/8hN
+Bnpb2t8llZD5CJbjX79FeOX2m0tlpTzMubrzcNNtBmJSpb4/n5G1uObXiQUM
+HJxvL1N9TvjRc8ta3bsMHt/LmLK2nIdxpUP3HAsZqMrGNR96Qfioc3hWTBGD
+MPfQq7kVJE8euJ+8d49B+6PdgY2VJK8UjYbb7zMwFTiaTHxJ+LLjqKvcQwY5
+3lbU/Goyf6N0awzBYHKZ4WfnVzz8MFqjv6uY8Mo0zRuxNeS+Z6pzzj5i8NJv
+2uHiWuIXr+7zSh8z0Kr6b03Pa3K/epmw708I/836p6D4hodr0TXflUsY/Aj6
+9tX0LfG3yuFt5qUMbF6/L/B/R/g74MRL/2cMCriKsMx64h/ekfoZZQwEofes
+axvIvJ/uza1+TvivIWf66Pc8yD15oPS3nMF7raTe2U08mLT8iGYqGOgfO/bA
+rpkHi7K4f+srGaR+CDge2cJD6JbzXiFVDEYv2LHx7gfyfsh/H/NeEl6J2aDe
+9pEHabmOtY3VDJ62rRyU/cTDhh9MiUQNAzV93SdLPxO+Gvt6vk4t4b8zs055
+feEhYUZbzrbXDL52y20938bDc61tytF1hFeMxmm8aCd+OnVZbOEbBlfPDfz5
+1UH4MP24eNtbBv8NtJapdZJ6PtPbL1PPwMusJn5dF8nbrev79BsYvEp75BzS
+TXjTvM7Fo5Hwyu/8ufnfCK963G9MeM8gzvLCqOYekj8XJdc+bWLwMyumalIf
+0W81yvqaCf+JHUpe2E/4+k2jgdIHBoU2nu7bv/Nw6MyWAtOPhP/y7BecGSD3
+7TWe49fKIGj8avEnP3hY/DQh6+InBs12eq/7Bkl/fq5WefmZ8N8t7qLyEPm9
+q/vZ4S8M0iYpeK/6xcOyn90ydDvhFSdJ/cDfPAyF10Wt62DgXPR7UvYf0p8/
+MyWCvzIonfq1vm6YB77Wu+DcTsJ/bu+yxv7lIU7q+0h9F4Njxc/2av3jQcXH
+J0D8G+EVXsHyrWJ8uCyx+TG3h8Eqr0tTo0fxQa274L21l0Fe6ZmWotF8DMZb
+fDveR/hPOSy3YwwfL9ud3O/2M/DZ67ufGsfHIbqp/fN3wisVTqZG4/noXnTP
+ZeoPBjqq1rzd4nxIjv73ackgg/j9y76kSvDRaJfp6P6T8F+N1s3KCXzs1Lz+
+MX6IwUZ2evDwRD4a7Kc7PPnF4F7wFAtmEh+rng1+6P3NQLFeTGnDZD5+r5nt
+oDjM4KBmb+cRKT5mvC3/aDJCeOVo890b//EhWPbCce9fBktbKsM/SPOxaPec
+z2n/CK/oPlj331Q++kyHXKrEWIw7cXWGngwft67M6PgzioXrl3N9brJ8TA68
+7q4+hsUzveMPE+T4iExI/2Y9lgUTFxhVIs9Hddsv78PjWBzvcts0QPERZXb9
+x9XxLLqXbaSn8/nYn1kRUC/OYk2Syc81Aj62N5j9HT+BxbX++U+DhHwwFVzI
+3Iksppqqx+Yo8JFl7yWxVZLFngvUtneKfLzxkY8+PonF66Hxs8WV+SjoUpK9
+O5mFrsXgsPY0PuzzIs5+lmKReOnzcwcVPr4kr1eZKs3i99/ahJjpfBxMOpK1
+ZAqLzeufuDyYQfobKT/HfSqL+1dvaHfN5OOTxYSCeBkWyuMujhbM4sO6ys7g
+iSyLw5tPvVypxofyV5myXjkWH28cPu+rzkdRKGulSLFYLuntcZHmIy84vcGE
+xyLDYevCaoZP+PqA814+C/HCNRL/WD7G6xb2pAlY7JiiX8eJ+Hh8c/2+KiGL
+59s10jdqkHrOtB43rMCCg6LP0dl8aLldj1FXYhFFTTa4PYePczu8FdYps+jZ
+NTz5kyYf98afzDo8jYVlSWfDlLl8xKlO0clVYXFdsSFbX5uPxZf7iuuns5D1
+fe63U4ePGn+tNeIzWfi+uGuUNI+cz7emca4qizczsmXKdPm4G1rrtnUWiwWB
+CR8G5/Nx8ZjOr+NqLM6+Cs+buZDMg/tg+F11FsO0X5DVIj5cJ1HUF5qF3WEX
+s0OL+VhmGZ85lWXx8O06fq4eqaeS3zx9joXKHKO2hiV8/LS9XeIuYhEcrn1r
+ggEfC9usbRI0WHxqmhGia0j6k2PV/mQ2C6N5MpbOS/m4FJkX0DeHxaWo0cqx
+y/jI9nCXVNJiMeFzXxeW80lehyWbzmXhtvhD4TcjPtyf/pvtp83iRezLowor
++dgr/vbRRR0WGp0P15sa89HVJLX+5TwWJ5bmzfQ34WOmZnrHsC6LvsTz/Rmm
+fIS1xgfRC1hY9UWhxoyP6IaOKesXsrhpHBQ9ahUfVX8TM4MXsZBP9dg8ezUf
+37SyFuUtZuH3cxNjt4aPDDvZ6gY9Fu9Wmw0ds+DjqVOTi4Q+i4WZC0sKLPmY
+qzF+RNuAxbkR+vQXKz7aUyJjtxmy+GvNd5C1JvVJ2cVEL2Wx5YrEnKXr+AiX
+zSsuXMaieMzQiOd6PmpbzW3blrOYvqmtPNmGD52BlX0yK1iEXq9LLN/AhyyX
+GmGwksWXCSWuv2z5+OG9bvpOYxYrt93SUdvEx54rrkWJJiyyC9LHrNvMx/JH
+ddYlpiwmSp+uDrYj5zub9q3fjIWHa0jKNXs+VIXlR5VXsah84LOzaQsffM5i
+hvlqFrPlHRZN2kb0elPzgf8aFid3Wk5Y6MDH0bOethkWLPqfGLxxdeQjpGTC
+j2pLFtYKczLinMhaWezkXysWt3cr737szIdUlJWItWZBlUsZ9rnw8WhQ7LnN
+OhYB0/9KKW8nel4u6Rq6nkVDQHej+Q4y73beY/NtWCyubry8z43MMzM37f0G
+FufVX/hnuRM/iLUwmLiRxb+DRSvqPPhIPVTWNG8Ti21vLsuO3cVH87vkIMfN
+LB5rnP2o6Un8IbxCIcaOxcywiGtbvPgw2b3h3j17FmHv/Q9EeZPvhS7Z3LGF
+RZv2dvMiHz7kMg4Oy21jYXLcRtCxmw/T+8LkpQ4sclpXtMv78uF7e+oST0cW
+kxbNu718L+lXgFNzkhOLXadUQ338+HjWK334mTOLqg5Zq1R/4mdjeTN+uLDQ
+NBw7rTKAjyspAU9VtrOITfje/Wcf8escne2rd7AY6PlYRO8n9Z9iLhnoxmL9
+ylcRNkF8lBXdy73kzuLO+WKbIwf48IkLt6r1YMEfvKZ64yDpx9Erg2K7WASu
+Sv3ecojM50E2SeTJojH9RLFUMNG/81iDjV4slgwfOLE4hA8DVd3PYd4sUtbu
+snML5eNV9uNjN3xYjMqxYxOO8HG6KXtOy24WjqNX/XoaxseYvI66Sb4sntgu
+Lv0ezkf5+JCgBXtZzMpn41QiyLrad6aLH4twCaHjmmN8SA8Xl5/yZ9GxZaJm
+UCTJO2/X3Q8DWJjd+fX38nGid2UXYdc+FlekOl68jeJDof/+Y95+FlIub8+O
+P8GHsG6Xh1EQC8/7pdu1Y/hAgb+czwEW1bJ35jmc5GNzeMOD8wdZzPXIHBtz
+iuTN7Pjt5YdYnH4c9+p+LNHb+ZypQ4dZDAqOpHae5iPzMe/+zBAWNj57dvHP
+8PErssnVMpTF3TLHxSvj+Zi4VPVP0BEWQpW1E30TiH/PMsu8HMZiv//St2mJ
+fIjelFq+CWfRVKWZ+fIsqd+ipJExESz01VT2/E0i+T7/afacYywuHJBeyiXz
+sfWG0Xq7SBZj6v79t/E86W+swphjx1k4iXreh6eQ+943uXY7ikVJaFPOrVQ+
+LKgKu9ZoFmqNFQGtF/i4HJ4pKR3DImLu/ZVTLhL/Gnh9d/FJFp3HrsjppxP9
+LN20fccpFuYfk1o9Moh/2c6jzsSyyF0QmX82k+SHkmvJo9MspE/uO/jsEh8S
+/t2+PXEsvNt3rBrM4uO7WZmqQjyLGn1b4czLfBw79Pu1cQIL7XjjDsscPv79
+ORTmm8jizDfdOwevkP3TN+umnWUxZKR25OpVPgK2RrVXJrGwTZZf25BLeEFe
+5uyfcyyKBsapTLhGvp/TbaZ+noWC+Y9v8/IJH4kr/rVOYXHg4qd7Ttf5UJK+
+cO1wKouW3zXHTt0ges0JcMy9wMLQ6vEG3ORjXnGmfEMai4vZ12d9u8VHyjz1
+5+LphFdGpQ0I7/CR1D8SpJ3BwmXDyUcmBXzcblDT2pZJeCXvUIzfXT4Ov834
+EnWJBS3uZZ9RyEd8lV9SYRaLSPstXE0Rn3BDskVbNouuW6t/i90n+buSGi+b
+w2L15CXPNB7wIRP3qcjgCuEVJ9GZzQ8J//mN89l5lcWUewpOx0DuVxegfjaX
+xW6ZSVoFxXxUxhs2l+SxqHX78+/zIz7s0jaf+X6NxbxHXytknhA+e/981bTr
+LBL49UmGT0l9NY6PW3WDxS+vsh2eJXzUH0i9H3CTxaZnBbrJpXyk3xDfm3mL
+8Ipy1rjyZ4RPbhZr1NxmoeQXXzNUxkena2XbvzssDlWGXZhVzofnLdEF7i6L
+D6p7Pa1f8NET0rzRtpDFsiBnveAK4seFrbJhRYRXaq0lr1XyYWywsOr6PRbj
+ueXv3lfx4Tz8MaL5PovtIXMvSVbzIV73fvmkhyzK6qf7LnjFh9NNRmwBWLBa
+U5e51hB+OFBW5FxMeCVi1JS4Wj7MFAr9Tj1i8a2lt+nRa8Jbe4bnPnzMwmJ+
+y5XeOuLvu2J6O5+wyD9RtU/pLR8n+nyv8kpYyLQ9MDZ/R+r1+YqbUSnhlSW5
+8vvq+dDU1FH3ecaiLi7506UGMj/3pL6cL2Mxv/v49deNZP53LUgvf074b/n+
+Q2OayDzOvuUwVM7iT5L7as1mPmZ/OayiWkF45ftGhS0txK/3pbRYVrJ4YGr6
+9fgHPlprJqceqGIxLW1BQeFH4rf1L7bkvCT890s9rL2Vjwd7GpXfVrNoteBZ
+y3/mIzhyccvYGsIrWeLTl38h/jS+O1WzlkXmv8Ee7zY+Vrzo3mb/moWEzZf7
+Ke3ED58umRFZR3gl93VkRQf5fn3zpztvWJSPe2r75yv5Xv/LzE9vWYjsbqrR
+XcRvB6bsmFLPIvrmxR/ru4nfl6WxSxpY9ErGPg79xkeabcg3t0bCf47BJ6/3
+kPk8fiM//j2LG4XeW1p6SV6ZzPV90sRCbuo2kVQ/8Q//0Qv6mlns3WHxZ9F3
+Pt6NVhlR/MDiLfTLdgwQvquKLjb9SHiFNzs+/gcfa0vNwvxaWSR5Kjk/HSR5
+Vm1jlv6JxUjJ5Lnff5L+vbkuXf2Zhb3SiJjKL6JfbK4b+cICvl2Vq3+TPN2z
+7hzTTnilouHc/j/keeM5B5sOFiEzy90uD/PR1KxFh35l8TmwcP7bEZKHrlTv
+tU4WK2qyx4//x8fGzaZ33nexyGISa+eKCfAoo/zAxG+EV4KPpm0bJYA3l7RC
+t4eF+zs/rxOjBah6WyDl1MuiYo7rkvtjBDCLnfkmpo/w39H1kzrHCrBleVPK
+/X4WMc1G9bzxAkTUft7+9TvhlXk6WSvEBVjDLdKifrBYGz1z7x4JAZZoN/1Z
+Nsji1meZ5WkTBOisrXzq9ZPwn96YqS8nCjAwOCkmeYiF/+n+5hFJAX4HJ2x8
+/otFfeeHq+xkAbK3eav+/M1i0bLqQFspAW4GxvfOGGaRfBYm4f8JUHN34j2L
+EcJ/fXnULWkBSseWhwf9ZbHVJOXzxykC2Bq9XXv5H4tHqdE3pGUEsHHSmvZG
+jMOMoaDDS2QFSDR91zVmNIcja3au8ZATYKTlxd05Yzh8ydyseFZeAFfpyeF2
+YzkY/zXrLKUEeFqcaH1sHIfL6xbd/cETYGKTz/Q74zlIXmXCZwgE0Fqd0Nsq
+zmHnWME6S6EA+n8mPJSewKFy04QZBxUEWFRZGqU3kcOcG0O9VxQF0L1WvdlN
+ksOpie0P6pUEMD+mxsVP4vB925vjEtMEOGtU9ufxZA7r7pZsnKcigHH57fJe
+KQ53pG+rO00XIHRsb5KiNAfe9ozBkzMEOFK/x8N0Cod9D08/eThTgKPzjPT8
+pnJokA891a0qwKtR26TSZTjo7dq9VagmQK7qs+aXshxSnjpomKgL4BW5L39E
+joOYotXwXlqAPQr+IQzFwWGP4fN0RgCFR1hnw+PwuHxOwitWgGpna/VQPgfV
+GdNcxEQCjOvT+nNNwCF833/aGhoCaK7aXPleyKG9+u+ozbMFqHN8eWGiIgdT
++ltVxBwBApVO+Ooqccg59D75jqYA+S4JJk7KHCa/feH+WUsAqVldiiencfCc
+fW+BjDbZb8Wx/vsqHF6G5Ygb6ghQfM2n9Ot0DlpNZ1/vmifAzjUZ56iZHGJ1
+jl08pyvAV8npPstVOfw4HuD9fL4AP6vaV3rP4mDzabv+0AIBNh75pXhejUPB
+og2TZy0SoEXOeuC5Oke4YmXD2sUCbHUfev6T5hD4dV72YT0B7nh+uTCT5fDe
+cJZf3hIBXkxSCrDkOOgnyhm91xfgOJdicUDEIbV3rIykoQA9BTvUczQ4jDYe
+aJm/lMx7UpDY29kcHFNac12WCZD2sP7tWE0OTwdf7T+9XIAJUofzNbU4qK1+
+ZPrISICl3l7H7OdyOJqRz+tdIcCumizHSG0OX4dTvygaC3BXidEr0OFgbh1z
+08xEgPV6A/Kf53G4mnMwOMBUgMN88b4p8zn8N8bT4pKZAMHJDuVLFnDw2miv
+9NpcgEs3xme6L+TwKn9V1+jVApiu+H4oYREH7Ql6hXPWED/QV9/8dDGHuK3c
+UXsLAfl/NkO3X4/DzzvC9cctib6nuMso63PY8J/kzEIrAWY88O8xM+BQ6PK7
+r22tAM2BleX+hhwUHnQ8lFtH9KLjkZWxlEOQ3LuoZesFMKm1PPJqGYdmj2eb
+vG2I3yw/6PBvOQeDJ3folA2kvp4D+twKDmnCSz9f2Apw2jBf0XYlh7G7zzz9
+vVGAgPRbf44Yc3B+fiRWfbMA9iGj6q+bcChV8d223o7osex0QbMpB/UAp9mh
+9gL82OoZP8mcw7GXa0fytxA/0Tm5d8EqDl1qy8qbtwoQpfV7nctqDqsOaiVO
+dhDg6tLLOrFrOOTVqbguchRgreUFOVhwkNaYorPDSYBKk+YfXZYcfI6IjYl3
+FuAQ5VTHX8uhtrHn5RMXcv+M2XdWWHPQ0W4+3+8qwN4Ww4Td6zjER1Z6TNsh
+QOv1swGp6zkMfby/cLWbAI0SCzdV2HDYuPCqxH53AWZXKuv93sDh3slzddke
+xL+/mSmrbeSg2BGZ/manAGfWPxhlvYnDQYNAn3GeAjzr2/vp0GYOLfFuBnO9
+BIi94lt61Y7D0h5bqW3eAljsLrxcb88hfYVJY7SPAEFaRtHiWzmMOz//8r3d
+AhTUyflob+Pg+kPN/+sesp85t36bA0f+Uit4ewVIOnx0YbQjByZ9vOwKP+JX
+DoxykROH439+fNjtL8DMxilj2505dFt9zrsQIEBy45IOWVcOay7XBlXtE8DN
+Mr/ScDuHa6OemI0ECuCrvuPmrh0cptre4LNBArStcTmb5MZhz7W0tg0HBNC4
+nXXomTuH1+KnboUdFOCvyRzXHx4cdLccDrl5iOj39/Cq6bs4JN72svx4mJzv
+tpTOGk8OvydvVZYOIfvvclbY78Vhs/Oabr1Q8vspo8Zme3O4f29JkfsRAYpO
+fuh87cNBWVYjIjFMgIym8bWj93A47K5oUxougPZXr3uzfTl8fDRJ9cdRAdwz
+lTM27+WwXDDcP/2YAO3jZKIj/DhkeHfCIpLk2x9Tv9v+HMTL6qMPHCfv7y/d
+2hrAYce055uvRJH67D9qKh3I4bnfXaY+msxXb5S23n4OXFXWkHiMgMzlGyW3
+IA5RsxJKdE4KYCTjMiH+AIeeoPDTjqcECM+fP/D4IAfL13sdTsYKMC9jTXPv
+IQ7XOZc5D0+Teei4/FwxmINs6Lq/XXEC7Ag0vW0awmFvw/IXgngBlG010vxC
+ObzR0j5rnCDAcPD66PQjHBYcm7F9byLp559H+6rDOJz9MHVe+lkBUkt2u/4N
+5zA8f/TYV0lEv13brdkIDvYxfdX/zpF89E0z3HCMw8O2lhTReeLfntNmH4nk
+oKL/cuemFAE2dH5UuH6cQ/CZh4siUkneDHdMbI7i8Kk7d8KdC6R/93R+SZ7g
+sMLo/JtPacR/V5a0zY/hcOlcVMbUdAEWPEqqcz7JYcLA/t0GGQKEWN9+euoU
+BzczD8NdmSTvNeRvPYzl8CJt03/nLgkgGVKU3nWag8Zv0/dlWQKsSss8zT/D
+4YTlwpyf2QLwnr0JXRHPoS+LDlDNEYBes8Z3dwIHKzH+yrVXBAg7O9klNZHD
+TRsJucNXBfgllLGpOMtBPu/nx9xcAXTWbzX+ncTBb3zbtcY8sn/zjwVqyRze
+2dUdmJgvQIpjLWt9nsPCW0/N518neZ89rHg4hcO5SbcELjdIHsV6Suemcvjr
+mN4ee1OAflpjTMMFDluKYm8X3xIAiQsGxS9yKJ4aEtpzW4BMg9gO7XQO0918
+rBQLCB9dX/x+WwaH0OJt08zuCvDmqW51dCbhFZ7lN/9CAb6dDXtadInDSi+D
+e5lFAnzPZQvbszhkl84+VntPAINOOk/uMuEVZeUNox8IcL4oNH1pDgePvVKz
+5jwUYB1tcNbzCuGVipHvdhBAYmRrzLmrHGardhdHFgtwsKMrrCyXw8n9jSfu
+PhJA7dHXoME8Dv015XZtj0l9ih18Z+RzsGaLWLmnAoxttd9pcZ3D7eDLv5aW
+COBj3+kcdIMDVZ9Y6lVKzm9Ebbl8k0OAZkTc+WeEV7b92PDmFuGVo/6OL8oE
+8LdPXjv2DofFLa6av58Tf9grWqNZwOG8rs0/tRcC3Gt8YWZ/l8O/6BUV6yoE
+2G+WZxJZyGHbF52kkEqSL2ECk4Iiwit6qjvyqwRYreRp+vkeh5lxsrrNL8n5
+NHRXT33AIaxrzLjJrwhPZBus03/IoW3Z91cLawR47KH63R0cTJI+pm6vJXyx
+w7AroZjwX3/1rjOvSb9enPv89BGHSabFi5/UEV5J023uf8xh14VrE/vfCCDu
+NPWd8lMOVUMpb5XfCUBJatSYl3DQtDiRuaqezCsXVhFQSnjl0oE9gQ0kv4wV
+n2U+4zDwd+fS7EbCO6u/P6op47B+vZ30m/eEP1mJB2LlhP+umjeNbSb9qNp0
+V/SCA3/c4itaLcR/1L7d3FhBeGUzu2/rBwHuz3h4LbySQ+MNgXH0RwFe51de
+uVnFYYnkRPl7rQKsKFbI/vCS8J/Dr9aOT0SvhtkZUq84jCpsz6e+CHBCZU/a
+ohrCK1PeHjRqI35lGZSyvZbDk+2lq3a3k/2Ln5yLe81hFm4LL3QIIO9gevZR
+HeE/KrOj8qsAzjOkEnrecOjYFXdnuFOAW4P/nVF4x8GsJPQI003ysGLNaZN6
+DlcU96zd8E2A6MSKU3sbOEj5OqqE9QiwaVXEyYuNhFdeWPXc6BWgrCE45uV7
+DtUzlt7/0Eeezy88MdLEYW6gZuR/3wXQs5l9gmnhcPrVNFu9ATLPoo/RNh84
+DNLSau4/CP9fexUd+pHw3+F/AwmDArytEzuR38rh7ttvj0p+Er5K8DjR9ImD
+cE5TzMAQ6W+3XIzkFw77wyvsp/8m/SwejpnfxqGp6R5n8UcAT1bllHM74ZV5
+V34HDQsg4ofEnurgcCEq6VnOCPHXiOlxD79yGPP52Jl3fwn/Bv0709XJwWnx
+PidxMSFyB/mJ/G4OJbE7tHRGCZEx5J204hvhv84NYo6jhTA+Jn5+dw+HiKXG
+lTFjhKi6WZ+a2suhM1H33IOxQjiFdl6s6CP81zfLrWucEHslFl763c8h11h+
+vkBciEnWJZfVBgivpI4bbywhxKwDMbnWPzh4/xyo8Z0gxPS0hOuHBznUrP50
+4eJEIbRamm7n/iT8l1njWS0pRK2dY1HDEIczI4/0/k0SYsOKWZD4TXjF+rqk
+SEqI3eVqT3X+cLC9cuHdxv+EeK26/bnDMIeiMScvHZUm67i2qhMjhP82HfK9
+PUUIoVPm63t/ORy47rns01Qh7D+mN3T8I7wyYcuUqbJCqHi0fpAfJYLhttXN
++nJCBLk6tC8bLcLFAr2rO+WFaDWa3uM1RoSx0qLAJEqIttAZg8ljRXBxVTAp
+4wnxM9dl5Pk4EZ49kKR+8oUYs7lr7NB4EWj5P59mCkk9tG5NUpUQIXLn1+tW
+CkLs+1wsazVBhK4n7w4dUhRi0QIZxYMTRVitULY6V0mI4L/ZqlckRbi2u0Ch
+UVmIcbLhGu8miTCl/NLXCSpCxDvl6I6XEmH39PgC3enkPJ8ow7n/ifA6ICzM
+eYYQk2MqTLdKizCv2tc6dqYQ2Q4V1lFTREhQd55erCqETcx5m8KpIvw6aN37
+bZYQ1sVHtrXJiLDpzbIHCupCvLx61V1WToT7GnOPm9JCXFtO7TWUF0EpbPpG
+f0YIu6THh3ZRIhx6P0U9kxXiVO+NyCSeCB+0Rw3WcOR8TzvOPOOLsOx47+NR
+GkIc8HZJ+yEQIaO1+eTs2UKcHcflTlcQYfyiqi12c4S47L24cI2iCNtPPRBF
+agqR0JFYsl9JhLKOq38KtIT4ULmiJltZBNYwuezLXCEWXjZqqZsmQlTC8XhZ
+HSEMVRK7x0wX4VtPoPPSeULsaV/2Z84MESxWus/10iXrm8YT7GeKkH9+46jz
+84V405JNRaqKIDNoUlW+QIgrem6zCmaJ4LtqQfKvhUJMmRep81lNhLp0dXe1
+xUIMOUkZTaVFmD9MLVinJ8TvKwPW+owIiWvFxUOWEH14LnH2YEX4c3mw9pq+
+EDOqOn0TORHsRn9JazIQYrbxSFiJSIQHtq+9Ji0VYknrnoTvGiJMy3+yZOEy
+IRLNNlyeNkeEwxI3J21fLoSH6c17qzRFaN1ysT7OiJzHOq1qn5YIRndOZT1e
+QeqrbNl6aa4ImVLBe/tWknlPmzJUqy2ChIv3cmUTIVKooZZR80TYcX/r1FWm
+Qpjc43Vr6IpQLmvRss9MiCijtjGb54sg8tDPzTIX4pnUJJeIBSJEP9bYX7eK
+vB+tffL2QhF6BUqmY9cI4XvpUlnrIhEsfSbztCyEUN2QtVRaT4QbZcOft1iS
++53ytNZbIoKcSteNKCshzHI8Xdz0Rdjr33C4aK0QFfbZ/vEGIryter6mw5ro
++03UiSeGIixQK1Sk1gsxcWLJhb6lIiQdyO5cbiPEmdNLbiotF2HkdcJdnw1C
+nJD9WWJmJIK96Gh4qq0QvdN63vmvEAGhfusqNwoRYTKrO2OlCNMbXWYMbxLC
+hXdOrMZYhJC56/toOyE0ZSxkxUxF+HzM6KGNPbn/PUN1kZkIKz5qRx3ZIsTm
+OK/FG81FyFowc9ONrUTPio0W4atEmHhShv6wTYhVb0Kcb64Wwb199E8pRyHa
+N7ru+7BGhAr9/ieLnYTIf3PkhJSlCBrxH065OQvx39Lm9EVWIsR8e7k1wYX4
+zS+fwu1rReg3gkaJqxCLow1exlmLsDY5b/j7diGOn1n55dE6EW4NnH+u4kb2
+vxo+3LNeBMo8OmGNO6mfr5iM4gYR/C8GuQR5COEel0+b2opQ/9tDO2enELqF
+Zw38NoqwyGrz6He7hFCPL7JJ3yRCcrbZy/FeQviU+u6q3izCP7FF57W9ybzm
+TQz7ayfC1g2Mh4OPEEaPXyezW0R4lMdfGLNbiKN9dbc2bBVhhvgEiQd7hLBg
+pCqPbBPhiP3Q605fch+7wC/XHUT4cqvtIt9PCL99Sv+aHUUwnvzGe6W/EG7e
+P6nJziJcdirR9w0QQlJrvOZCFxEk792afHEf0e8VU1NXVxF2ymQ0vAwUorHq
+iePp7SJUuZ3O/rtfiI/H9wQV7xBhzqMQP+6AEMtrbOO/uYlwir/baONB4q+x
+e/KFHiJ893KQOXpICO7ek3LjnSKse2b54dZhIV4tMf3iu0uE28qGea3BQshJ
+jht10VMEnt+coCmhJA+m/BC+9BJhX6Wymf4R8txQoDviLUKD6n/8nWFC6EXu
+sWJ2i6AX9PfL2XAyr81jdtnsESGltvvms6Mkz2Y/iwj1FUGMex88GCHEkR3F
+Gfl7RXAIeWExM1II84M9xU1+IjyuL1KyOk78a6tVk2SACKpaOV0Ho4S4+bfj
+9/x9IoRHnC28Gi2EgcltyiVQhPaWiKMNJ4SYqnlHO3a/CKbzA9ZPOClEeWaX
+JYJEyDmxfabuKSHUktZ7dh8QYXKbTb9TLMmHfwPHBYdE8FyyEqdOk348Lr28
+8rAIL+PmRSOOvK+OJt9gEbS6VTd/OyPE88KUkbQQEWKXyzEKCUIMHOlVehkq
+wo+ksUMmiUJ071OcOXxEBJvv35/6nSX+surHUjpchALT1tiMJJL3c0Y5rD8q
+giDt1baac0LcowwPh0SIEPirePao8ySPft1MvXZMhPcW+SMaKUJEV27G+0gR
+9LNSyzenCpEePb9lYpQIqf9OJB67IESYtrHY/GgRRtscdC1IE+JYUeQ05xMi
+OObu0vlyUYi5ymMMT8WI8HSc/RjZDCHW2uZue3hSBDW7VdWGmYQf7KOCu06J
+cPTm4hTPSyRfZFMv8k+L8FWS25mcReZ/+ZcnK+JEMHcULirPFmK0x5Yvu8+I
+cLVw4oRfl0n/Fk2UuBAvwn9Tf9fNuiLEucQPdGWCCF47OtKtr5LvDX0y+5Mo
+wiu89QnOJXllp7pLPUkEbd4zg2t5Qlydmhiz7pwIcZ53pJquCbF9l8GN4GQR
+fpZkNkpeJ+cZFNblnRdhg9KZywtuCPHXm/vVmCJCoe8Rf9ebhMdG7VaYeEEE
+hYo9K+JuCeG6vE9fN02EoJlOso9vC1EWnu3odFGE5sC1H3vvEP+YnBJ+Ml0E
+g5ql15TuCpG03CzzYYYIaYzWAfNCIYb336rqzCS8Eqxivq9IiJn/qQ3wskRw
+fictyLpHeOBoOW9Ftgilc8TaX98XQlSbprf7sgjqR3tujXkohH/8FYfUHBGO
+NTeFaILkjUl7eMUVwivzKi23FBNe8Fh39fdVEVZF31eOeiTEynvfX6nliZD3
++Up34WMy7wsfD1lfE0Fa71xR+xPin/JPlILzRfA5HRkhX0L85ejg8rzrItR2
+7rNZXipEHTa6N94QQWeZm6rPM1K/xv8rMvN4qr42ipMoMpSEuvtQScrd5yYS
+IZqoNChjKiEZiiJpliFKcyRJ9KNRM1GatUplCJUmMwllisgYeff75/mcc/fZ
+ez3rWc/3fG5blPR9HrHnHDsScwUY2vjw4cwMHj2/F70oyGP82ZFW5faAx+rF
+hif/vhWgQrpKKuohj6dJWk5TCwR44jBblPmIB9ejLHQoZP4wKbRreswj2Eqq
+N/wdm09Bp/apPmW8crXzTdp7AdrvHL1i/ozHvH+1p6s/CGDRn1rgn8njst2n
+9fIfmT6HJboSn/OQvJ2lY/JJgPSNEWoF4OE5NP3fxs9s/2dMFva9YLyy5mJ+
+7BfGIzIaflpZPLTTo869/ipAUqZRnO0rHsdkQr06igWoTgl7GfqaR4ur38wJ
+pQKgbKDpzhseVo+ch1qVCWA37/qY8mzGfyOtigLLWf3rD5hJ5/JQ9DJNulHB
+5u376I0z83gEPOe3FFcK4CfzMdrtLeM/Zc5EqprxbPL8zMh8HgZbZGVmfBNg
+4Fndz2cFjFde//3qWiOAs8+j0U2FPPpI05WT31n/FWWaqr7nsTagdNuzWtaf
+sl0bzT8w/nubO7epjvHKJOcY/yIe6hqPFMb+EEClsxeJHxmv7LlWYfFTAGux
+N835n3jUfIi9GdDAeIu+VO37zGPB1IjdFxsFUAtpXqD1lfFfyI6F75vY/qTn
+bbUt5jGs2H3Mv2bmd4fn50NLGK9Ms/su/MX8NnR93p1SHnkHF9x1bBXAbIKw
+u6yMB63UC45oY/P51vhJ0hWM//Q1lt3/LUCa+pKVMyt5tB5TFHxvF2CrfUqQ
+WxXjlVrxhpF/GI/ZLbkVWc0jzfh3hmkny/MpJf7Pv/FQiq4O9+li/B2VO6yp
+hvFf4zvrc92MR2Z36avW8vg69/n4nB4Buj7s2WBex3gl7s6vzl4BHJUXRPvX
+8zjXdv6pxl/GK/XzXib+4NG/8PiRlf0CzP/o/Tv/J+OVxMBVwQOMT55mjO9r
+4PG8y3vy7X+Ml8PVVmg18ZiwfM2f0kEB9pYkBds289h/xfLlcHECPznTlNAW
+HrX9syJnDiG43dBTeecX4xXbqes2SBCsdvkiX97KI/mmKj01lKB5SIWp9G8e
+0hLD+55LEsYfSr4z23lsWt2d3SJF0FYdlujWwSP/bn2MYDhB3hD995F/GK9I
+f3FbLE2ArYbimZ08Trq8nr5ThiBS8ZFuUxeP3w/uDV4eQbAufZq7ag8Pa4XL
+BUWyBLkJX+PMe3nc84iOF5MnuJyV+dG/j4dy5v6NIgWCYdXjxyX95bFzjL/B
+2pEEErqp+wr6eZT4uEoeGcV+Pyl90t8BHkavVnx8oEgQnDPMa+ogjwTBnAt1
+owniRVXL7cRE+Oc/zXf0GIKhPyJu7RcXwTlPbfZcZQIN7bTelCEivJggP8JX
+hSDzsA8qJESYuHugOEGVoGV803FpSRHC3zdfzRtLMCumqXCmlAj1WuUBPeMI
+nD5//uM2TISFwW/nTSYEZxe+EEUNF+H6l8cjbTm2/+RrazOlRZAR3agMVSM4
+rz47tklGBJ8DcbdS1An2uIqXqsqKUFh+aE/FeILU1iWSFnIiTJuxa9GIiey+
+cdHUAHkRoo56Ks/SIHj4dK17koII7TX2tR6TCH7PW/m0YKQItkYWaac1CZTC
+k770jRIhI0o/5OVkgimmChJTRoug0jBpeZsWQZWbi4mdkgi75ygRtams/j9G
+++4fI0JZrETjEm2CXUpqN1OURTBpbX+wW8j80llYWq4iwn8WNQeSKcFNrQIN
+mbEiDJ7/YPOZJ4h5OWGRwTgRXDsxQWIaAa1TC9ogECFraWqrjg7Tf/D2opUl
+Qky6nPhs3XSmN925OqRUiIN/Txw9pksQfSdEOqVMiB/WQY6P9QiKOi4LKsuF
+WHxjs9bPGYTpJn5KtlKIm+JOnWNmsvOftXMyrhJC1nFp1nwDgmvPJZZuqhZi
+S6px1FZDgi18Z+PZb0K8GyZ0TpxFULjSoSi7RojpzuP4AiOC7keRPl3fhYjO
+kP7bZ8z8Ll9ANeuE+CPXmzNlNkG54rlum3oh7N1/nrE3JbC4NGZX2A8hHjz9
+uiHcjOmZYBx296cQY5WyddPmELTW/LWsbhBir3eGWPVcAt+ohB75JiHKX14p
+lJvPztM9rcK0WQjTcTEJxgsI5tvYBvq0CJG4NXzTRnOCrBN/TON/CSGeu80w
+1oJAv/a6Zl6rEG7j3aReLyQIzMl40dsmxKud1p/aFxF8v7E4WKtdiMnv5l4c
+b0ng7PnKzr5DiIjJ0/2WLyF47CqWceCPEA37xpsGLiWwG13/PL1TiCWfFWRv
+LCNw2HLicE2XELfoYMnX5QRvhbJeo3qEkA//lSy5gkBc4/iAWa8QfmUV2/VW
+EhguksGWPiE+6BbMd7UmsPeYdPj8XyH0jjwdddKG4P2x5DX5/UKc/naz6qkt
+wUEv3c6+ASG6DONvN9oRjCxREGoPCuEQeWSvqgPBPrUtfqvEKB792L3YYhU7
+n/5lPkKcQmC2USXAkeDQEBnpjCEUgWdW1V1Yzfxm7n+vToKismVh+rs1BDo/
+jd4qSlKYmRuEDqwlCPIKWDlPiuJCwmQr4ToC1z57af9hFBJ/xnCOzgSvH1Wf
+SRxOsWGJZNNBF3aea/PXF0pTvLn45+E9VwKr/SEmAzIUU/q+H6xZTyC7YUO2
+UJbi8MqPtiM3MH3Dyg6tlqNouvZyoqk76xevghWH5SmWiqW1eXsQrArpcXmo
+QHHH4UJmnCdBUtfnm/UjKUamRB7L9iKYmHnNfYwixVapkNWdGwm+HXzBLRhN
+8dHJd4qGN8Elo2Gl/koUM+6v61rhw9bv8L10YQzFGdnlr4I2E4x6iSPvlSl6
+3GafurWF4EzUMdlBFQrHJ9Sl1Jcg1qdwiGgsxRNFIhq+lcCz14o6jaMgm0b0
+6/uzPFwsWH5MQBH0oi/XbRvBE6X7mk8IRbVqY2xUAMFU+xPxDRzFXL8S9+fb
+CRL0I4tV1CkuZefotexg72uLmWoxnmKo+kNxwS4C74dH7wdMoPDYkfxu0W4C
+/wt64ZcmUuQUnDm/Yw+ByH/OxCINiqmaB70v72X52ZXzQUyT4mjg9llFgQRr
+LfmIaZMpmj9uGCYWROCzZ6vROi2K5ULbz3wwwXTTLTtPTKFI3T//0poQggv3
+w288mUoxqlR36+FQAhupHc6N2hTbpk80e7Cf4PmgsfNYSvHp0Ci5ujCCfP9z
+3xfyFDOrxcoUDxAs3poSuENEcdag7dqcgwRGE75NvDKNovdE1Y4tEQSPbs/X
++qxDsaa+cEHCIYJ7dwuLh+hSPJudqZh3mPnvzG7D6XoUajG3q7uPEGju9b/u
+MoMipDnhjuYxlgc1NPWEPsW3+ccCbY6z6/gLi5/NpJgfv9cy9ATBMX+/viYD
+iivtm1RTThKc8s1bT2ZRSFmuri+PJGjae3f1YiMKrwuL78mcYs9vny2/y5gi
+t8dwv2E0y7PSHPdkEwrhiikrPE6zeifI3v08m+J4sora6RiCnOVR+kPNKH79
+k2p+cYb1o3Pge905FCvsux61xrI8kTm/w3Uuxd3bdRFcHMu3WwWuUfMoRkt+
+tltyjuWVZjJ9Pp9i+9pXGrvjCdIW/DjQsoDiS3r676sJBNtsM1XVLCgMR1x6
+/uk809c7d/iShRRx608dH5LI5o+u/KHdiyj+Pgpdo5PE/No/a8a1xRROo7ZO
+XXeBQM/rQNUXS4pML5fuoxdZfu14ViK5lGI8rF4/ukTgcdx81oxlFKEqZtE/
+LhMEWL6qX7+c4vsWkeuYqwSbu9/FRVlRmL/hps1PZvlzNXLW//+/vsrJDfhd
+IwgPm1D3ayXF8O39ef9dZ3701jzJ2VBsym86m3+DoL9YoL7MluKtRplH302C
+vmX5NYF2FPzevBlTbrP8Sc8ruGFPcaLo0RD7OwS6WidmFztQtE29/j4shcBF
+27laypHCOvTsf3dTCYydUg7rr6ZIL47wqbpLsGRtsNmGNRRjdHYayaWzPHp7
+VTF6LcWOCI/hxvcIRoyWi8hyoiiutPvidZ/AJPunsG0dxayZ5pfPZBAkem7+
+qOZCEX98hv+rBwRRm/tvLnOlGKjVmNP+kCCUaM8JXE+xzmS0/PjHBDVpOnk3
+3CgQPaR82ROCL4Vzqko3UExs+n1971M2HwsF44Z7UITN+7bz+jPGW/W1tw09
+Keri3pt/zSToWDt0l7sXhcXv56MlwfZ3pnf46Y0U1xalfNN9QbDX1/N11iYK
+maT/UlxeMv8MWhh0eFN4dx/fdyKL9dvBgR71zRQFy/ctefqK4Ifi4kvLt1CI
+rvqMbXxNoKydmxbkSxE5sOaHSjbLj22aM2/5UbTbLrlvnsP6zbH3SOlWCptb
+RmHbcgmuztf6Ib2N4r6E9soLeQSK51srDAIolNeMVX/3ls3vuD87PbZT7Eob
+3tKfTyBdN2Zq9A6KUumex9qFTO+iA9Ne7aQwdv1xaNU7gismsuvad1Gcf/jF
+/uB7tr+t28Um7KH4p/Bm0r0PzL8f9tyy2kvh4nm//VsRgSBo2sKgQIqXmZeh
+8Ingv3etHrf3UWgonz4x+zPLu/QUr5IgigObw9Z6fyHY/bwyVCaEov6Vv3bc
+V7Zef0uuYSjFIrK+500xAUmbs8lzP8WNbSvf/ClheZPWL3MmjGLE2zmnJ5ax
+PL5cXvM6nGLzRJ31K8oJtn7qseo4QPFut7pOUAXB05lONeoRFDof5P/drGT6
+jU+LWnGI4tSUf29LqgjOJS1SCTlM0RHcEjfsG8un4OaB20co7L6We+rXsPlX
+4bWv/ChFhihf3+07gW3TRckRxylUDz6RiKolmNw3NdLoBMWeihsfMutYPm9+
+MtfrJEXZjHOJzfVsHvx7VnMmkmL2scObx/1k/TwqQJgTRZH4fZfxogYC8+97
+wztPUYgZe0nvaCQoOaL2eOJpivWnHL5eaiIYJ1rhsDKGIqvB4sqHZoJGZaex
+IWcoNOfO3DbYQlD2Q/fUnViKiLOac/lWtp6FXWzlWYqfrUoKa9oYT214WTTi
+HIXlwqEVh36z/s+Y42oUT3Hzv44bGe2s/kM947wTKOS6anbVdrDvk4JzN2PP
+U/guK7JQ7GQ8NdJhffZ/FO8vv1Ca00XwTj1WrCuRQrc/tWZzN0HcLktPjQsU
+0TZJqfE9BNWjHotbX6TovHEyKLeXYK76+oSQSxQOQ4KXdvcxvVO2GaZcpnjo
+uGWcZj/TWzujtOIKxbi7Tj+tBwhqT4rFyyUzXhm+LCPkH9PbYk2byTWKCmeT
+8DuD7PtHP+32xuuMVx4IrcvFOGTsWRR59gZFkrxgvMwQDs9enRDk3KQY4iHz
+y0CCg1xxkkHPLcYrz3qfuA/l8ENya5/GHYrXSg2HoyU5+EpsO2WdQqHlU+zw
+QorDqK/bp4amUhzKytZsHcZBODcGKXcpGsc96CDSHBJDea/KNMYr/ldfWMpw
+cJU7bSJ3j+J2bszJXSM4HP957KLxfQqFCQecrspyqDfX2e2TQeG3K0D4SY5D
+fLRkYewDiqJ3br3iChysttp15TxkvKJlkz1tJIc/9bbVnY8oYoLmxTiN4pCi
+P3aM5hOK7s/T3Y4qcjigVjjc5inFKn7C9EejOfwLdYwPfUbxOHzkYL0Sh5/c
+oF5qJuOV8sF8JWUOkcdkX1c+p9in13pungqH4eHdznIvKKqOVHr5qXLYclHU
+YvySYk5Nwcz/xnLYs/NP2KYsiouzng3NH8dB2cBWNe4V45WoW0W9Ag6h62R0
+sl9TuP+MT9LiONxZGWDU9YYi2+zoFjs1DkcLqgsm5TD+i91jEqbOwS3rmYtN
+LsWRXxtl7o7nMPnV5fbQPMYr5o7FlRM4xP1yD099S7Hs/KKrshocNL0llavy
+KVL+GAQYTeJQ/SkkWa6Q8d9SrXlemhzCjtqbmryj8L+kPPLMZA61phkFm94z
+XumTrMzS4vC384pT3AcKfevOm7+nsPpYSvzKLqKIvV67W12bwxplsq/rI+M/
+sU8LlwmZfq/KZDU/U6xelTVmL+XQINOQYPOF4mlK2vdrPAejncGvwr9ScMMu
+3v0i4sBLi0ulF1MEr4sKHqrDYSBjxLKqEsZ/90OW6U5n94saK+TKKObJ+Qlc
+dDmou7QcMCunuLzBueG4Hoembo2IzRUUkk+XP3gygwNV6T8YV0nhOdr0QIM+
+hxuaUio5VYxXNvE2KgYcVnNdjn3VFNovyQRzQw5P/YL0NGsojo2VbfWfxa4/
+5++1/07R4vf3aZIRh4DRV3LDaimschqPFBpzWDsyyDC9jvGKeumqfhO23rJR
+Z6vrKRR35k7WNuXQ/157s/xPioDCh38czDgsmfv+sEkDxWfNay8PzOEwVE9H
+zruRwmBfbGT6XA4TTyedjWti/Pfp4Lpv8zgcrp6lnt9M0SfcQRUWMP8mj5vc
+00KxNsy9z8Scg+7dil2arYz/Sm1zNllwcBl9v8imjUJdd8GZsws5mE8+vHL/
+b8Yrh/U2vFnEIcdRoyq1naKmeqLun8XMz8+uelZ1UCwwVBSbuISD8WnL33Kd
+jP9OihdaLeUQIb5H17SLYtiPtvh9yzjM+Jkk6d1NsdG0euPN5ax/zJKvJ/RQ
+5MW8Myix4qBkZLQkt5eCtmRKDlvJwaEm6lJXH+O/BXc+zrDm4HH63qjJ/RSt
+8ecvrLfh4O4Qc89mgGJlxzHfSFsO0uZrI/f/o0izDJydacfh2L00x/RBCqWL
+3iOa7Tm0yln6fRfjsb13dcnYVRzsrq36KjeEx9cVlskLHTm8i73gZCLBY9a1
+Wdu3r+bw8aCch89QHucGpzBA5zCtxaMgVpJHv73qqA9rmV/q7ynnSPFwujOs
+6p8Thzph8JSOYTyeS3bfos6sn+b4Gk6R5jHBqX7Pahe2nuT1czYyPPbf+7zo
+kCuH66XL5PaP4FE74rVyxnoOpm/TYlJleVi43av97sbB7MrfNZVyPJIfX0ob
+5c7BefjtDDkFHtKK0SFmHhxOQm+yyUgemzbuX77Zk4NClIGR9yge+dhK4r04
+LJ5abhGnyEOk6tqYs5HVoyw9LXs0j5O+Kx52bWL1tgww7FLi8fuN2cFJPhxG
+etrmTlLmYa02zdZ6M4eXwttzbVR43NuuNjFkC8vnO5lZoao8lAvk2m77ctiY
+5bYqdSyPnZMGnpX5cQi/0eFUMo5Hyd7mo9L+HHIDr7goEB5GH8scDbZxcLT3
+/GjM8UjQfqvlHsBhU8NX201qPMvJx52ntjM9ovSKz6rzcC65noUdHGKnrNqR
+PZ7HC524qF87OaQa59R2TuChceiQM9nN4ZKzRtVEDR7hVTt5yz0ctrtHNFtP
+4lE/0/Pvzr0cCtVU94dq8lh4wj73SiAH+SuZv1Mm87heZx77cR/Lq86ZGyq1
+eMjM1ncXD+YQbZE6WW4qD5/Tk/SmhXDw/H7Ew1ibR2HTaHGnUA4rnJY0bhTy
+mDZf4t2R/RxCxOU9z1IeUefaEx6GcfD3W9eQzfNo//1tU304h2XxhUGdIh62
+iz8YKh3k0JLn0KahwyMjCVLzIli9xnKh1tN5qPSkfPI9xPa7iG8I0eWx2yrx
+4vnDHHaUx1jd0eNRdvWE39sjbJ6aRNRWzODxP//uTbY=
+ "]]}, {{}, {}}}, {{{}, {},
+ TagBox[
+ {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
+ Opacity[1.], LineBox[CompressedData["
+1:eJwtxXlQTHEcAPD3Hsl2sO91StK+yrE22UWimveTqxUhVyGalMo6GjOSYyaM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+ "]]},
+ Annotation[#, "Charting`Private`Tag$2597703#1"]& ]}, {}}},
+ AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+ Axes->{True, True},
+ AxesLabel->{None, None},
+ AxesOrigin->{-7.6964781195980505`, -16.08855607757748},
+ DisplayFunction->Identity,
+ Frame->{{False, False}, {False, False}},
+ FrameLabel->{{None, None}, {None, None}},
+ FrameTicks->{{
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ 15.954589770191003`, RotateLabel -> 0],
+ Charting`ScaledFrameTicks[{Log, Exp}]}, {
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ 15.954589770191003`, RotateLabel -> 0],
+ Charting`ScaledFrameTicks[{Log, Exp}]}},
+ GridLines->{None, None},
+ GridLinesStyle->Directive[
+ GrayLevel[0.5, 0.4]],
+ Method->{
+ "AxisPadding" -> Scaled[0.02], "DefaultBoundaryStyle" -> Automatic,
+ "DefaultGraphicsInteraction" -> {
+ "Version" -> 1.2, "TrackMousePosition" -> {True, False},
+ "Effects" -> {
+ "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
+ "Droplines" -> {
+ "freeformCursorMode" -> True,
+ "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
+ AbsolutePointSize[6], "DefaultPlotStyle" -> {
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.528488, 0.470624, 0.701351],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.772079, 0.431554, 0.102387],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.363898, 0.618501, 0.782349],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[1, 0.75, 0],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.647624, 0.37816, 0.614037],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.571589, 0.586483, 0.],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.915, 0.3325, 0.2125],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.736782672705901, 0.358, 0.5030266573755369],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965],
+ AbsoluteThickness[1.6]]}, "DomainPadding" -> Scaled[0.02],
+ "PointSizeFunction" -> "SmallPointSize", "RangePadding" -> Scaled[0.05],
+ "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
+ "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
@@ -1751502,317 +1752672,398 @@ QAtaZGlDiRtAKpM38ZljAkC/XNPpZpUbQKE/LJyxawJAcV9CaoqhG0CRhkO0
Exp[
Part[#, 1]],
Exp[
- Part[#, 2]]}& )},
- DisplayFunction->Identity,
- Frame->{{False, False}, {False, False}},
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{
- Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
- MachinePrecision, RotateLabel -> 0],
- Charting`ScaledFrameTicks[{Log, Exp}]}, {
- Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
- MachinePrecision, RotateLabel -> 0],
- Charting`ScaledFrameTicks[{Log, Exp}]}},
- GridLines->{None, None},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- Method->{
- "DefaultBoundaryStyle" -> Automatic,
- "DefaultGraphicsInteraction" -> {
- "Version" -> 1.2, "TrackMousePosition" -> {True, False},
- "Effects" -> {
- "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
- "Droplines" -> {
- "freeformCursorMode" -> True,
- "placement" -> {"x" -> "All", "y" -> "None"}}}},
- "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> None},
-
- PlotRange->NCache[{{-9.210340371976182,
- Log[10]}, {-27.63102041105556,
- 6.907754574109149}}, {{-9.210340371976182,
- 2.302585092994046}, {-27.63102041105556, 6.907754574109149}}],
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->FrontEndValueCache[{
- Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
- MachinePrecision, RotateLabel -> 0],
- Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
- MachinePrecision, RotateLabel -> 0]}, {{{-9.210340371976182,
- FormBox[
- TemplateBox[{"10",
- RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
- TraditionalForm], {0.01, 0.}}, {-6.907755278982137,
- FormBox[
- TagBox[
- InterpretationBox[
- StyleBox["\"0.001\"", ShowStringCharacters -> False], 0.001,
- AutoDelete -> True], NumberForm[#, {
- DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
- 0.}}, {-4.605170185988091,
- FormBox[
- TagBox[
- InterpretationBox[
- StyleBox["\"0.010\"", ShowStringCharacters -> False], 0.01,
- AutoDelete -> True], NumberForm[#, {
- DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
- 0.}}, {-2.3025850929940455`,
- FormBox[
- TagBox[
- InterpretationBox[
- StyleBox["\"0.100\"", ShowStringCharacters -> False], 0.1,
- AutoDelete -> True], NumberForm[#, {
- DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {
- 0.,
- FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046,
- FormBox["10", TraditionalForm], {0.01, 0.}}, {-11.512925464970229`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-10.819778284410283`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-10.41431317630212,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-10.126631103850338`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-9.903487552536127,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-9.721165995742174,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-9.567015315914915,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-9.433483923290392,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-9.315700887634009,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-8.517193191416238,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-8.111728083308073,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-7.824046010856292,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-7.600902459542082,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-7.418580902748128,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-7.264430222920869,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-7.1308988302963465`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-7.013115794639964,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-6.214608098422191,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-5.809142990314028,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-5.521460917862246,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-5.298317366548036,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-5.115995809754082,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-4.961845129926823,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-4.8283137373023015`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-4.710530701645918,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-3.912023005428146,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-3.506557897319982,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-3.2188758248682006`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-2.995732273553991,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-2.8134107167600364`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-2.659260036932778,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-2.5257286443082556`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-2.4079456086518722`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-1.6094379124341003`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-1.2039728043259361`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-0.916290731874155,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-0.6931471805599453,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-0.5108256237659907,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-0.35667494393873245`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-0.2231435513142097,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-0.10536051565782628`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 0.6931471805599453,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 1.0986122886681098`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 1.3862943611198906`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 1.6094379124341003`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 1.791759469228055,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 1.9459101490553132`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 2.0794415416798357`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 2.1972245773362196`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 2.995732273553991,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 3.4011973816621555`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 3.6888794541139363`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 3.912023005428146,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 4.0943445622221,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 4.248495242049359,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 4.382026634673881,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 4.499809670330265,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 4.605170185988092,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}}, {{-23.025850929940457`,
- FormBox[
- TemplateBox[{"10",
- RowBox[{"-", "10"}]}, "Superscript", SyntaxForm ->
- SuperscriptBox], TraditionalForm], {0.01,
- 0.}}, {-16.11809565095832,
- FormBox[
- TemplateBox[{"10",
- RowBox[{"-", "7"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
- TraditionalForm], {0.01, 0.}}, {-9.210340371976182,
- FormBox[
- TemplateBox[{"10",
- RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
- TraditionalForm], {0.01, 0.}}, {-2.3025850929940455`,
- FormBox[
- TagBox[
- InterpretationBox[
- StyleBox["\"0.1\"", ShowStringCharacters -> False], 0.1,
- AutoDelete -> True], NumberForm[#, {
- DirectedInfinity[1], 1}]& ], TraditionalForm], {0.01, 0.}}, {
- 4.605170185988092,
- FormBox["100", TraditionalForm], {0.01, 0.}}, {-30.03896672458042,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-29.933606208922594`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-27.631021115928547`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-25.328436022934504`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-20.72326583694641,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-18.420680743952367`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.815510557964274`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-11.512925464970229`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-6.907755278982137,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-4.605170185988091,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0.,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 2.302585092994046,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 6.907755278982137,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 9.210340371976184,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 11.512925464970229`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}}}]]}], "]"}]], "Output",
+ Part[#, 2]]}& )}},
+ PlotRange->{{-7.6964781195980505`,
+ 0.}, {-16.08855607757748, -1.8269203294451606`}},
+ PlotRangeClipping->True,
+ PlotRangePadding->{{
+ Scaled[0.02],
+ Scaled[0.02]}, {
+ Scaled[0.02],
+ Scaled[0.05]}},
+ Ticks->FrontEndValueCache[{
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ 15.954589770191003`, RotateLabel -> 0],
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ 15.954589770191003`, RotateLabel -> 0]}, {{{-6.907755278982137,
+ FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091,
+ FormBox[
+ TagBox[
+ InterpretationBox[
+ StyleBox["\"0.010\"", ShowStringCharacters -> False],
+ 0.01`15.954589770191003, AutoDelete -> True], NumberForm[#, {
+ DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
+ 0.}}, {-2.3025850929940455`,
+ FormBox[
+ TagBox[
+ InterpretationBox[
+ StyleBox["\"0.100\"", ShowStringCharacters -> False],
+ 0.1`15.954589770191003, AutoDelete -> True], NumberForm[#, {
+ DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {0.,
+ FormBox["1", TraditionalForm], {0.01, 0.}}, {-9.210340371976182,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-8.517193191416238,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-8.111728083308073,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.824046010856292,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.600902459542082,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.418580902748128,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.264430222920869,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.1308988302963465`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.013115794639964,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-6.214608098422191,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-5.809142990314028,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-5.521460917862246,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-5.298317366548036,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-5.115995809754082,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-4.961845129926823,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-4.8283137373023015`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-4.710530701645918,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-3.912023005428146,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-3.506557897319982,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-3.2188758248682006`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-2.995732273553991,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-2.8134107167600364`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-2.659260036932778,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-2.5257286443082556`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-2.4079456086518722`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-1.6094379124341003`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-1.2039728043259361`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.916290731874155,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.6931471805599453,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.5108256237659907,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.35667494393873245`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.2231435513142097,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.10536051565782628`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+ 0.6931471805599453,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+ 1.0986122886681098`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+ 1.3862943611198906`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+ 1.6094379124341003`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+ 1.791759469228055,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+ 1.9459101490553132`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+ 2.0794415416798357`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+ 2.1972245773362196`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+ 2.302585092994046,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}}, {{-16.11809565095832,
+ FormBox[
+ TemplateBox[{"10",
+ RowBox[{"-", "7"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
+ TraditionalForm], {0.01, 0.}}, {-13.815510557964274`,
+ FormBox[
+ TemplateBox[{"10",
+ RowBox[{"-", "6"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
+ TraditionalForm], {0.01, 0.}}, {-11.512925464970229`,
+ FormBox[
+ TemplateBox[{"10",
+ RowBox[{"-", "5"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
+ TraditionalForm], {0.01, 0.}}, {-9.210340371976182,
+ FormBox[
+ TemplateBox[{"10",
+ RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
+ TraditionalForm], {0.01, 0.}}, {-6.907755278982137,
+ FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091,
+ FormBox[
+ TagBox[
+ InterpretationBox[
+ StyleBox["\"0.010\"", ShowStringCharacters -> False],
+ 0.01`15.954589770191003, AutoDelete -> True], NumberForm[#, {
+ DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
+ 0.}}, {-2.3025850929940455`,
+ FormBox[
+ TagBox[
+ InterpretationBox[
+ StyleBox["\"0.100\"", ShowStringCharacters -> False],
+ 0.1`15.954589770191003, AutoDelete -> True], NumberForm[#, {
+ DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
+ 0.}}, {-18.526041259610192`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-18.420680743952367`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-17.72753356339242,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-17.322068455284256`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-17.034386382832476`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-16.811242831518264`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-16.62892127472431,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-16.474770594897052`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-16.34123920227253,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-16.223456166616145`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-15.424948470398375`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-15.01948336229021,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-14.73180128983843,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-14.508657738524219`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-14.326336181730264`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-14.172185501903007`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-14.038654109278484`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-13.9208710736221,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-13.122363377404328`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-12.716898269296165`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-12.429216196844383`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-12.206072645530174`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-12.02375108873622,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-11.86960040890896,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-11.736069016284437`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-11.618285980628055`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-10.819778284410283`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-10.41431317630212,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-10.126631103850338`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-9.903487552536127,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-9.721165995742174,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-9.567015315914915,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-9.433483923290392,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-9.315700887634009,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-8.517193191416238,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-8.111728083308073,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.824046010856292,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.600902459542082,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.418580902748128,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.264430222920869,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.1308988302963465`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-7.013115794639964,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-6.214608098422191,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-5.809142990314028,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-5.521460917862246,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-5.298317366548036,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-5.115995809754082,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-4.961845129926823,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-4.8283137373023015`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-4.710530701645918,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-3.912023005428146,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-3.506557897319982,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-3.2188758248682006`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-2.995732273553991,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-2.8134107167600364`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-2.659260036932778,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-2.5257286443082556`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-2.4079456086518722`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-1.6094379124341003`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-1.2039728043259361`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.916290731874155,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.6931471805599453,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.5108256237659907,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.35667494393873245`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.2231435513142097,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}, {-0.10536051565782628`,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0.,
+ FormBox[
+ TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
+ 0.}}}}]]], "Output",
CellChangeTimes->{
- 3.895303118453562*^9, {3.895306162162941*^9, 3.895306187262882*^9}},
+ 3.895303118453562*^9, {3.895306162162941*^9, 3.895306187262882*^9}, {
+ 3.8953090742696247`*^9, 3.89530909199244*^9}, {3.895309148414619*^9,
+ 3.895309161738669*^9}},
CellLabel->
- "Out[361]=",ExpressionUUID->"9258e238-f023-4b37-8e8f-3fbc224e3b96"]
+ "Out[382]=",ExpressionUUID->"d0822c71-d7a0-4da0-8049-e4c116288585"]
}, Open ]],
Cell[CellGroupData[{
@@ -2256503,6 +2257754,8 @@ during this calculation.\"", 2, 366, 293, 31990234172837399613, "Local"},
In[366]:=",ExpressionUUID->"1d1d26a6-dcdf-494f-9f9e-414f67309700"]
}, Open ]],
+Cell[CellGroupData[{
+
Cell[BoxData[
RowBox[{
RowBox[{"eigMinMarge2Below", "=",
@@ -2256512,6 +2257765,61 @@ Cell[BoxData[
CellLabel->
"In[371]:=",ExpressionUUID->"25c438c4-28d6-4571-b386-a221f49f891c"],
+Cell[BoxData[
+ TemplateBox[{
+ "FindRoot", "lstol",
+ "\"The line search decreased the step size to within tolerance specified \
+by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \
+decrease in the merit function. You may need more than \
+\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \
+meet these tolerances.\"", 2, 371, 294, 31990234172837399613, "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{3.895307791678114*^9},
+ CellLabel->
+ "During evaluation of \
+In[371]:=",ExpressionUUID->"0b766559-53f7-4b39-973b-c421c96b98d0"],
+
+Cell[BoxData[
+ TemplateBox[{
+ "FindRoot", "lstol",
+ "\"The line search decreased the step size to within tolerance specified \
+by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \
+decrease in the merit function. You may need more than \
+\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \
+meet these tolerances.\"", 2, 371, 295, 31990234172837399613, "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{3.895307791925906*^9},
+ CellLabel->
+ "During evaluation of \
+In[371]:=",ExpressionUUID->"91b27600-95e8-4100-99be-0a89ac89b632"],
+
+Cell[BoxData[
+ TemplateBox[{
+ "FindRoot", "lstol",
+ "\"The line search decreased the step size to within tolerance specified \
+by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \
+decrease in the merit function. You may need more than \
+\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \
+meet these tolerances.\"", 2, 371, 296, 31990234172837399613, "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{3.895307792053195*^9},
+ CellLabel->
+ "During evaluation of \
+In[371]:=",ExpressionUUID->"912f8ed4-c167-44c5-bc23-9bdd9c934fb6"],
+
+Cell[BoxData[
+ TemplateBox[{
+ "General", "stop",
+ "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"FindRoot\\\", \
+\\\"::\\\", \\\"lstol\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
+during this calculation.\"", 2, 371, 297, 31990234172837399613, "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{3.895307792132431*^9},
+ CellLabel->
+ "During evaluation of \
+In[371]:=",ExpressionUUID->"c886d67e-21c5-44c6-8c02-5c23c58a6b12"]
+}, Open ]],
+
Cell[CellGroupData[{
Cell[BoxData[
@@ -2267584,26 +2268892,11 @@ Cell[BoxData[
RowBox[{"#", ",",
RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"y", ">",
- RowBox[{
- RowBox[{"\[Mu]m", "[", "f34", "]"}], "/", "2"}]}], "&&",
+ RowBox[{"y", ">",
RowBox[{
- RowBox[{
- RowBox[{
- RowBox[{"\[ScriptCapitalD]", "[", "f", "]"}], "[",
- "\[Mu]1", "]"}], "+",
- RowBox[{
- RowBox[{
- RowBox[{"\[ScriptCapitalS]12", "[", "f", "]"}], "[",
- RowBox[{
- "E0", ",", "\[Mu]0", ",", "E1", ",", "\[Mu]1", ",", "q"}],
- "]"}], "[",
- RowBox[{
- "\[Beta]1", ",", "r11d", ",", "r110", ",", "r01", ",",
- "r10", ",", "q0"}], "]"}]}], ">", "0"}]}], "/.", "#"}],
- "&"}]}], "]"}], "&"}], "/@", "eigMinMarge2Below"}], ")"}]}],
- ",",
+ RowBox[{"\[Mu]m", "[", "f34", "]"}], "/", "2"}]}], "/.",
+ "#"}], "&"}]}], "]"}], "&"}], "/@", "eigMaxMarge2Below"}],
+ ")"}]}], ",",
RowBox[{
RowBox[{"{",
RowBox[{"q", ",",
@@ -2267620,7 +2268913,7 @@ Cell[BoxData[
RowBox[{"y", "<",
RowBox[{
RowBox[{"\[Mu]m", "[", "f34", "]"}], "/", "2"}]}], "/.",
- "#"}], "&"}]}], "]"}]}], "&"}], "/@", "eigMinMarge2Below"}],
+ "#"}], "&"}]}], "]"}]}], "&"}], "/@", "eigMaxMarge2Below"}],
")"}]}]}], "]"}], ",",
RowBox[{"Joined", "->", "True"}], ",",
RowBox[{"PlotStyle", "->",
@@ -2267716,13 +2269009,2556 @@ Cell[BoxData[
3.8952910503562927`*^9, 3.895291094748981*^9}, {3.89529114531103*^9,
3.8952911643187838`*^9}, {3.895307093680324*^9, 3.895307111839546*^9}, {
3.895307619552128*^9, 3.895307627303286*^9}, {3.895307657872401*^9,
- 3.895307664464239*^9}, {3.8953077378659773`*^9,
- 3.895307741929289*^9}},ExpressionUUID->"9be1f90d-36a6-470b-b717-\
-bb627e7fdc9d"],
+ 3.895307664464239*^9}, {3.8953077378659773`*^9, 3.895307741929289*^9}, {
+ 3.89530828497165*^9, 3.895308309659463*^9}},
+ CellLabel->
+ "In[374]:=",ExpressionUUID->"9be1f90d-36a6-470b-b717-bb627e7fdc9d"],
Cell[BoxData[
TemplateBox[{
- GraphicsBox[{{}, {{{}, {}, {}, {}, {}, {}, {
+ GraphicsBox[{{}, {{{}, {}, {
+ Hue[0.67, 0.6, 0.6],
+ Directive[
+ PointSize[
+ NCache[
+ Rational[1, 360], 0.002777777777777778]],
+ AbsoluteThickness[1.6],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ Dashing[{Small, Small}]],
+ LineBox[CompressedData["
+1:eJws23VYFUsYB2Ds7u7uRBEx4KcooKi0IChKS0p3ncYuMLC7W7Hl2J3Yek3O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+ "]]}, {
+ Hue[0.9060679774997897, 0.6, 0.6],
+ Directive[
+ PointSize[
+ NCache[
+ Rational[1, 360], 0.002777777777777778]],
+ AbsoluteThickness[1.6],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ Dashing[{Small, Small}]],
+ LineBox[CompressedData["
+1:eJws2nVYFU0UB2DEwO5W7AAxUFEQ1J8oShmAYALSEoJ0x00sbLE7AQux89qN
+2IGt3A1sETE+9Zvde/zHZx7g3t2dM+ecmX07B8z2CDY2MjJyq2NkJP0/UP6n
+R/S5qHcTp2ajRY5LeQ0rPS5C0WHipGxUlflvecjGA43edPaYmI0nw1Km5A3S
+49xCdaWbWzZOrVzSKHWwHjmxnmsmjMvGxk+7Lrta63HV2qHBeJdsKJx0GaY2
+euiCR7qPdcxGAPu0T2z8WD082MUhGw6/Prw7O0SPJa3NnJ3ss9FjYs1ty2z1
+UOZ//G/08GzU3tN+WpCdHt4nlYpRdtlgF9dk8FA9Ku7cvjfCJhs3fVyvmgzT
+o3/0je/DBmVj35GArCds3KG1v2g7IBtL2dXtHq7HWxflbut+2YgLXfohHXpc
+mttumFXvbHidy9s+foQevdw7brQ0z4Z127PTO9nrsbpL+q3ePbLRJu5R069s
+fCi18y2zrtn4fePjtQsj9XB++Hd9t07ZeN6tljJ3lB4jDlS362SaDeluZzro
+kZfdMa9d22zItzua/f1t+7KWrbKh7jd2Z90xepysPe1Tk+bZCJkb6POMjYfs
+mnytfpNsOL1Obb7PUY+7XXvFmjTMRi/bZTeynPRwqzwrVquXjfrL81Xuznrs
+WFrP8j+TbHxkT6+rix7vIn86fK+RjdsOjz9/Y+OZf1PMPlfLRtEGaUL0mHsk
+vVT8q8WK77VmrB6rB1f7y7S3v7VInNChZfg4PcbMvJz/7IcWbHKL7cbrsX7k
++8sPKrWwqzZO02CCHjXqeRTd+qqFKZuNl2x8sx8fceWTFv+K0r4WuukR03Fd
+he69Fq/rSReox0ZHH+djohYXggr8PD306NvCNLKQ02LH6XOtekzUw/LbNd+8
+t1rMafnkVhUbv5kwscPmV1qEzf6sveapx9FlebtXPddCmt11Xnp49jhea3Gp
+Fn06d/w2a5IeK+Li+2U/0qKxNL2T9Zjz5lr3jPtafL07LqDxFHY9pXli3B0t
+7lsEt3nDxiXnjNLCb2lxRJN+++BUPSb9PfvE74YWq58vn6OdpsfXb49rTr6q
+hfxx01n81rH5N/aSFt6Lz1eaeeths7n40sjzWgwXnuz5xcbP286baqPTopP9
+l8CbPnosejr1RJ9TWhivrd1uo68evqP6CV2Oa6H/2vHu7BnseRb9eNPqiBZX
+XK3n2fvp8WjujoL6B7XIZ9HXzJ99XrfuqFaoxYI/wWzJsfgoC9lcuUeLyEkZ
+LKTZ+uk+7ZaYr8WE/SuC5wbqkezw8erznVr0lxeIHsfWN11yZ5sWzfwv3LMI
+Zs9n3pGulzZrUXm8dP4fNg4OvqY+tkELKZpLQtj9zbMt3L1WixMRdX5unqnH
+5gk/8zau0mL9xU6FsaF6tGpUGbl0hRaZUjiHsfnsaPpPvVQLPzlg9Pj0yM87
+cZEWI0tCHvBsXG/Rfm3oAi26mWXmHI/QA6t+pE6bq4W0OhbM0qOLk8XQsVot
+5McXqUfut8HXhqm0uD7g4oG+Uex6PtXt0i9Liz0LnoYazdbDOmflmE7pWiwu
+kx6gHnvaXRvcJEWLmGF1H22LZuvt09Kv1RK1mLiy86KEGJYfJr9K+RqrxSC2
+2hxj2fPbtu3mm9latHJy+691nB4hXW+U352lBbvZg+VsfLrbmPvnw7R4+jMz
+/FQ8y3+V1ecVhWhx2kP6QD20bypqbw3UYtPuvY9nJOox2aam51I/LZQ1Li3u
+n8Se78ie4QofLYLY6q2ezNbPWGfX2dO0GHOk4s99Nr6+aVqVz2QtzBrVO7wz
+heW7bJeosZ5a1A3tMis5leU3l9qFtu5avJeWbxrLXwPVp8zGa3GrjXtpu3Q9
+9s4tWN7SVQs2GSxh6dFmWeSgGk5aSNlAl6FHZe7JLV8ctIjvturfkkyW70rV
+j1/YayGHS5Yet7cdfnJjuBZDHl6KtFKwfGQ9YscxOy3a9ZMylh7bnjS122Gj
+xZ85354+YuOOxe3XLR2kxctX0gLW45nnuEsZA7Q4J12eWg+jg8uPh/XTgiVn
+lhH0aGL+Msmrtxbad+7HOmj1+FvVwcjeXAsWLGwF69HWb6RH7x5aOG9Q9Dif
+rUfnLTZRrbpqYfF9FVtxrJ78+jzRuJMWDeWAZvGfP636h/ZafJbKxzw9mn0M
+Sn/URou7Ri+M68zXY3CNf2fOtdTi0FQpovVobN76xu5mWqwsqh+zZ4Eepas3
+bc5trEVyPSkC2XpdrEFWAy3kdLVQj+GOR3aF1tViqDzBesz+3fWJu4kWUvar
+YGOd/tQ92xpaGM2WZliPpYhe1bWaFm+vrD65cokep+z7dKv/V4NL0vJYqsf8
+bm9Tvv3SYFfKFXPbZWz9dVSuflalwby7L9gT1CMl/HvWxW8aRMg3rEeC3QDL
+PV80kLLp/hUsf17tmr/8owbydOTq0cLpRHnqOw1YcWNXqIffx7Jv/oIGFYsm
+silm9/952RUnvQZssbFPZPlEeTCg3xsNjo1QvbmyWo+mDwddbvFSg7VrpH8s
+PjvV+fr7qQbpLDtHrNVjw/L23OvHGvjKCVWP7v4ztl55oMGI7S/PNFyvx84T
+Z3vsvatBlz/fE16xcas7/eKWlWhQY1LDPkUbWL29v25O0k0NuH3dy9Qb2fV8
+rwj0vqaBnJ436REQ1LO2/WUNpGzfc7MeqeO7x3e/oAFLBizB6FH77bNddc5q
+MLup+uz1LSxe3YZt+3BKA/eItUnrt+ox8cKgkDvHNRgopYNtelwOO/z50BEN
+Wphe02M7yx/Ru0euPqhBFbu6Jjv0WGts4p1WqIFUPd6y8cexR4f67tXgZE9p
+wekRmrq7bESBBnL47dKj7PDdiV13sZiQGxj2+ebt59fcroH/AC/LXvl6mBgl
+zeE3a+CwYBb/m437Btx1vbZBgx7sbosL9PBIMX1UsFaD2tLt7mbrJcrRPGeV
+BuW5UgDqcS8UIyNXaHBTag/26mG/9Fvn8Us12OcoFXQ97jScdLXvIg2WbP7R
+n2NjVe2Jgxot0CD2ZyPx6H49yreXhn6ao4H09OYVsvit+yygRKOBXI4O6DHI
+d0zX/UoN2sgToseoy7ULFmVq8Ns78tJfNvaf2bQqMk2D54elAqeHRYhH3XHJ
+Gugarh+49RDLP9zRtxYJGmyR0t9hPUY2GKCuG6uBNBujj+jx6r/9ghClgVQt
+Wx3V48bjTs2vRGjgKF8gi/8LcTV3hGpgfqPxlRPH2Pp/teqUKlgDebkdZ78/
+IX2IX4AGH9PZpZ5g68eqcfqwGRrcfjDpfb+TehTuH6lp661BEZvdaqf0aPfG
+2KNqigYrWPW9x8ZR76G/56VBojS9p1l9+SgMK/TQYMqQQ1cTz7D+ss6H6TkT
+NJDbIR3rF6bbIXSsBu3fvRnc9ix7XjUv8KOcNfg7Smoo9VB3i/PqOEYD+ePO
+sXh4bDv310gNLrBqvvi8Hraoo3gADXZI5feCHn8Si4cWDtVgzq7JrCSx39+Q
+eGb+EA3C5ITA+qWSihrBgzVwnZpt85CNl1lYNcZADfrIDRab7+Ier1pbaiCn
++yt6pN85Ef+1twZSd+B6lV2P58viG+Ya3Dv1trkU0hNi1e+299DgcAupo2Sf
+N2ZlcUZXDVZHSQuE1a/3teInddIgVUovN9j6y7r4oq+pBt5yw8Hir92ZBiZt
+NRgutePFeugfvzF62VKDTqzbMLnF1vO9zseONNPA2ELqsFh/1D184KLGGsjh
+XMKet1AQG9xAg8vPpIBh+X3wvYShdTWQ2787euzueXdoMxMN5i+SCjDLNw9X
+XhGraxDJVscXNr45vXHLs0YaTJAe3z09vpf0MVv5R43+a3q1zr2vxybXF38i
+fqnRTGo3HrD8xjdeZV+lRqWL9AD1iDtxqKLlNzVYMWcVnX3+82PN3n9W4/h/
+UkFi9T20ftXZD2pIq23vYxafMRs35JarIZe3J6y+NvE1CefVYDfLKiaLpxm2
+VsPL1Bjpp7/d5akeF6K7dGv6Wo1u8geyeu5T85H+uRq1mjZn98yu1+7u2OOl
+aghSOn3O6nGXZG3OIzWus9Ub9oL1Cz05xYz7asjbj5d6nPGrhwF31GDNRrsG
+r1h+L3uoq3FLjehbc1nG12PGVevqj66rIS/f1yx/djGtk39FDSvFUZah2XyZ
+JN5JvahGKzlh6fEgp7/32HNq/OwvZVQ9Eq8Ozzc9o8bT+VIDyOpnSc6xjyfU
+OC2Hix5nD9edrzuqxqahve+v5dj6X7rLdMkhNeT2itcjKNEjzu+AGoEfp40c
+LrB+KuXXfMt9aoyWF7Aev/YvCjLarYZ8eWwc2ufvv5JdatSRGyI9ImvZ+Gza
+rsZ7qZy/08NlgkV61BY1bhWUsBXM9kftr3gP26hGYXU+x+yDHt2Uv/7WW6fG
+Mm9pxekxbNmhgNJVasTLAc2eX2DZnLwVasjl4xN7vrVTohKXqmEjNwisP871
+b+mwSA15u/WF3Z/pwqwmC9RgzRprUdnPD5fnv5ijxosYKQLZ/M8Oy92tUeOc
+lK4qWLz7/bBPVqqxras0wWx/sj57v0OmGlqpva9k929V/UXjNDVmygVTjxPD
+fYqfJanh3Pdf5z9sPKVYnZEXr4a8PKrY/HwL/hgXo0aDV31Yimbr5fLXjohS
+Q24nf7L6NaVN07oRatxZKt2wHq1PXb14f6YaUjZt8VuP3rU+W28KUmOlNB1s
+fNo5MyLMX43k9VvZFerhuDZgxkBfNabJDTnbP9bLafZnmhpDx0ufyMaF4pzL
+k9XosEtw6vuP1ZP14acWe6phJP/jkFb2p3CKuxpSdr7Dxi/XLgvuPF4NuVxW
+47DrXqtS0UUNtrnsnmDMYe7W9IZFjmrI28vqHEa3KzROdVCDNbvLW9fgsNd9
+yxF7ezXGyRt+Dpunoled4Wr0k9JzTQ5NHFN8btuq0YRl+4W1OFTvO9xtlbUa
+FdJ2xoTDoi4Zxr5WajxIFnv0r82ux6Z7fLf+arCLYw0bB1tt9x3lfdSQ0wEb
+/2wXmVvYS400eQPMYWmTdw6JPdWQ2+d6HJakLjpo100NqXo412fXEzHmtVFn
+NbrIC47dz89qty6ZqlFDCj827jekMGV+WzU4SA0MhzUYUTa+lRpXpXatEYf3
+nbc0aNZcjYIv0oaQQ0zlucqHjdWQjzeacFhRsnT92gZqyLfblAN/6V8137pq
+uMkByKHzx1/dO5uoIbcHzTh08Y2tXVZdjeZyQefwxcIrf6eRGlXSdroFh/OR
+y2qH/VHhyQxpg8ShYkibHha/VDjJnt5nNm6y63G1D99V2CCVo1YcHtzQrdtX
+oUKWPCEceulOV8z+rIK8fWvDwWL1uTr9P6gwSi5wHLpHnXj+RVSBTS7bYXJY
+P2XV7CJOBTn9sbHjbEdd7FsVpNnY055Ds+vHbw54pcJNabtgyqGn8vmqr89U
+2PdYukAOb/ds6VT0RIUl/ZPYlprDm+DKkJiHKsTKCZ/Dr4tXwi3vqeD5dse6
+i504jHhr0vtTiQpye9qZQ53S7QV7b6ogzW5oFw7i+YVcxDUV5OOcrhyOHD3w
+0vyyCvL0duNYX/wvlz+vwplNbVnLy55Xn5l1duhU2CK1Q9051Ch7OCTglApq
+d2nHwGFo4+E9Ox5XIVhuKFk8FC+48/SwCo7Sx5lx2Ge932Z1kQrm8gadw4Dw
+Vd6e+1WQy685i3flwGGN96jwocEZyzW9OIxfE1t6I08FebtqwaFWySirOTtU
+OKB7v3Fobw7xWOkycqsKbHGwlMWhymSq6Z+NKiRK6Z6Nh41J23N0nQpT5A0r
+hwmt31fFrFbBVtoe9WP3t37tP4tcFdqnSx0li8ovCRf0S1X4e19aIBwODI4c
+tWmRCnJ6YeP2C2ZnTVmgAmtOWcPBobDhrKQmc1VyNK8fyGHla3eL6xoVpG4j
+0orDlG6N16mUKsjHV4PYeqvKvWybqYKrfCDGIT3j7t6vqSr0kQOG/fzhIbeC
+JBUaSe2fNYvfHr33+8er8OWbVIA5XF7Y81rrGBXuScclQzgctFy5sSRSBfnx
+2XLAgJn9ssNVkHaXv9m415F5aUNnqiC3G3ZsPl69V30NVGG6/ABZfDzMGp3n
+p4K8PR/GodWp/hd8fFToJBckDjuOfvnddJoKxmy1NWer9tnHfZ+uTFKhTO6G
+OPSYO2Vj+kQVLkdKFZNDQMFzk/5uKuRJ20F7tj7T+/TWj1VhfkfpAznM6Wld
+b42zCmwzvaP3KA4L74rbx45RQU6nbHxxp9XPfyNVkFbvbQcOccW1ah+ECvL2
+YzQH/+gJd4KHqlDJdr9xYzg8Ov7Hs/UQFR5Jx3WOHLbeN1p+fZAKx6Xl68Sh
+6XvHBekDVFjHmbIMzeGPxflhffupkCEnLA4XzvoWvLRQQcoGOS4cnB/Vv7PE
+TAX5eMiVxfeGkwfsu6sgh8tYlj8wbezXzirUlDfUHDZ8fLR5awcV5PaKjbs9
+7rrfo50K1z2lA0oOVr37JBm3VmGPdBwxgUP9dm9/HGiuwiLp8tw4KB9YWfk3
+USFabojY9eU0MW/cUAUPqZyzsSIu9NGZuipYyRtMVi9OmiHSRAV5+zuRzc9q
+e792NVT4cV46sOMwbvhW22tGKpS2kwKaQ8PXQ24l/lFCLh+T2Po4XNW22y8l
+NhVLDQKHo1+vd7rzXQmltN2azGFL8daXGRVKBMobLg57MqIm9/qsxGjpeHIq
+h0Rb07kP3yvRUz7A4jBy6MYYlahEHXmCOfw7+apZX04Jub2fztZzxb2oJ2+U
+kLrTpd4cprWfqdK8VEI+DvPhYBk7b3y/Z0rIy8OXQ7hlr3tPHisRP0Y68eTg
+u9ymseaBEpPkAx2WHx9vq9n3rhI28g2zzx86/eCjW0q0lY5f/DnM/DuujfKG
+Ev9J0xHA1rNPhHWvq0pIpxEdAzm8XrO1wb2LSsjtCxufqXizLu2cEmyxsU9k
+9WhPuzddzyghb/eDOeTUGvrqxgklQuR/HBIcBq6MO6qEfDw+k9WL/M/V2x1S
+wkJOqOz70wLNzxcq0SBGOhHj8PtPaq2wvUp8kraXYSz/J/VY16hAiTtdpBMs
+DjX7efGHdypxUDqOjWDzEfG9fPo2JeT0PIuDceLPHdU2K5EkH6Cyer5qXOtd
+65WQtzORHPJav7Efu0YJ6bRkVRTLR6N3dvmSq4R8/Debw+6weSdylylhtJSl
+g2j2eXdS69guVuKNKG2AWTxfDWv0YoESF6X2mY2XbBp9UzlXiZ3rpANFDre2
+/UF3rRJzpeOmOA5J3ZXhV5VKyOEXz2Fwgs41IlOJsXIDw2F52a63DdKUkNs1
+Nv51yXxAYZISjeUNIYdjs6ysPeKVkI83kjj87X30a0W0Eg+k203mwE3fEpQb
+qcRR6XVACqv/E97kDA5XYo3UHqSyfO0bFvEoRIk0uaCz5/e6u1FyoBI+0nY6
+jUN+PxPX1n5KGDZILP9t/8/1mLcS8vFzBqvPayqNp0xVQi5HmSx+wl/PrvJS
+Qtp9/GTjGvH7l630UELevmWxfqTZhIhBE5QoUEkFjt1/3v6f91yVyJGOO5Uc
+2i09OyzWSYkoecPAwaVvjHXj0Uq4sdloqmb563Uht9deiQHyAQyrXw1mu7oO
+V6K5fIEcYpuvCxZslZCP17Qcent3G6S1VkJebtls/px/He9spQRrrtiWkD2P
+UfW/nbZUQm5P2bjmAee3U/sokcVm99ZcFm+/tsypNFfCXz6QYPE5v8brJT2U
+GCVN73wW3zf8Pll0VaK7fMDL6rHZzqLLHZUwkRMgB6NGF3v5t1dCPLqf7RhY
+fX2fP/l3ayXk44OF7PlYOg7JbaGE/HGLWD/gvKCkb1Ml5OP2xRweFwS3vdpQ
+Cbn8LuGw+NKlNv71lPCUDzw5ODVYV/zTRInBckJg/eH3+4OW1VCitfwCicPX
+7wEevaop8Us63l3O6r/Wquv5Pwo8k9L9Cvb7bYbkTf2lgNQdtM5l9a+33+vP
+3xWQt0dsXG/ImltzKhSQTtdOruRQefze7A6fFZCPE1ex6+/97+Kh9wrI6WU1
+i8/69W65iAqYyw0Hh6tPufmv9ArUk9rxtSyeW6t+J7xR4MNGeQOHIoebHeu9
+VKBEOr5ax+HQm0NVm54qcEAK5/Uc/BIt1FaPFZBf92zgcFjT8fzV+wrI7d9G
+dn/LFYe87ygwWS7AbL1ZDJ/2uVgB+bhkEwfX+44H1dcVkB/fZg4dWy/Utbyi
+wF/p9cIWDmNVfzLzLyjwSmo3tnKYumnuF7uzCpxvJT1ADs3/mLa6dUqB7dL2
+nI1ze+39NOO4AtnXpILEwf5Y97QvhxWQj7N3sPu1TjquKlJALm87OfQZurSg
+2X4FpJs13cXq49TA8dt3KyBvB9nYssfz7VZ5Ckhve87lsfi2+bj34nYF7knH
+p/msfzHLDvPcosBhKZ0WcOi6dMWjtxsUWCW9btzN1kf9Oj9i1yqQIje8HE4N
+vne92ioFpo+U3tCwerLvzYQlyxWQj+v2svXStOecDksUkJfvPtZfGS+J3pOj
+gPx6az/rLzo3qG87TwG53S3k4Nls0dQrWgWkbPCVjXekGU/1VCmQJx0PHWD1
+t9q0uq8zFZgvhUsRyweumsjINAVmyRtq1i9Uj1H9TFJgvNReHeIw5l4jZ228
+ApbyASUH3Uy3c41jFJCPI9j4XWSXd+siFZAv7wjrF1ckXO4RroB8fH+U1Yuc
+IRMPhCggl/NjHFqY+C61C1RAOj3tepzDx6N3FZdmKJAhbX/Z+NXEOZ0neCsw
+Qz6wY/V8aUTc4ykK2MsBzfKN2exEfy8FusovQDicuKPsVe6uQE25QWD7H+fl
+i2PHKyBvt86w/YrL8h2/XBSQTmNfsrF+RcwslaMC8vGkjsM3zrSsjoMCcro6
+y/oV47n1l45QQH6dd45DZP4mfathCnjILwRYf7LZc/bGIQpYyQWTw5N9K/O7
+DVagpfyClcOytV4rCgYo8ENaHhc5ePVR9rPsp0Cp9ProEodP/eukHbZQQG4n
+L3Mojn+eaGumwEZf6YZZ/3DhQxddNwXk4xc2tvtknjWqswLydFxl8XVFueCK
+qQLy64prLL910ju6tlWgp9yQs3xfMurQrZYK1GknfSKrJ3kLb7s3U+CdtN1n
+Y5vsovX3GylQfFP6x57HiK2tJ9dXYL90PF7M6vehsQ5Paisgl8tb7HpPb+k4
+vaYC8uvkEg4hbH08q6aAvL28zaGsU8vrJ//Lgvx2kI3f2/zdcLoyC/Jx7B0O
+ZvNO3D7zMQtyer7LIfh5rwAdn4UX0uvLeyw/1ejnoXuVhbPSduY+h+N3d24+
+8yQLW0dLL6TY/tE0dtzpu1nQSMd/D9j6PRM95eSNLITIL/hZPlquOnfsYhbk
+12WPOJzMnDP38OksyO3zYw4OQTP2HjiShfrygSKHF73L++3dnwX5uImNL180
+aZyXlwU5/ErZ9bdbPW7rliwclF7PPOXwvXuasG5tFnKldu0Z+7zSJa9WLM9C
+krwh5PBj4PFBC3OyMFU63njB7qf/fV6jzYKdfMDGofzhue9pmVmQXwe85OBu
+HhAQm5QFuT14xSF5YG6v0OgsyK/PX3NQV7eb4BOWBXk7/YZD9O6Bt90DssA2
+C2yDxKGT/Yy9o6dnYa50/PyW7a9ebOBsPLMQLh84cbi0uSTNYlwWxsoTwvql
+gvuzTMdkoa+8fWP7g44LjzdEFhrLBY6DucUT/3/WWZCPO9m4/a/VwZ8ssyCn
+P4HF4+k9F1+YZ0F+PShy8N7zLbO4Sxbk7UI5h+t/3VacbJeFVPkC2fP7uqVG
+fvMs+MgH2hwyrl8pyW2QBUPCZ/vPG1srlbWy0Fl+QcjBA80SI/9lorrcQLP6
+HP/TbcqPTOglvvGJw4zTg7JHfsmEfJzzmdW36LwWvcszIU8vGw/m+/9r/jYT
+8uuPL6yeK4tG/nmaCbkd+sq+f2vdV2X3MyFzgQp2fYVtH90ozsQAuaHksKD1
+hZ5FlzPRXAYILL87l91ZpcvEd+m4vZI9v6O+D9KPZeKxVH6/c8gqbTrA/0Am
+Tkivp6vYfsDyNe9QkAl5u/qDQ2vbgu89t2UiU36BxOFn+njfuuszIR/vsnFz
+9b4O71dkQk73v9j6Ly2wLl6YCfl16G/WD7bslr83OxMm0vboPxZ/t37FLszK
+hOgkdZTsfjY2yp2VnIkb0nEiG7/oPqqRa0wm9krp5S8HsU7ia7PwTCyWXr/9
+Y99fMbdercBMyO24EY/vS70XvpmeCZmrVOPht/JOyBnPTMPxlTGP8ceurloz
+LhNyOLNxysEuneLHZEJ+3VOdxxCns//GIRPPpPavBo9cO9XgnjaZOCPxiJo8
+hk12vvjPMhObpeOSWjxWhX3Pe2SeCZX0+Nj43Ojwsn1dMhEkAxgeKy9oE7Xt
+MiG3G7V5HNKZz5jePBPy6/g6PFTtrDdaNsiEvD2vy2PA6UUDa9bKxPt+UkHi
+cWNxk45P/mZAPs5mY3P1Zr89VRk4IJW3+jxq5bT/kfk5A8ul178NePzdFqJ3
+EzOQIB+Y8FhxbYZZlzcZmCx/IA8bI/Hs19IMDJEPoHm4uL3dd/5eBuR02phH
+tyv9vi69mQH5dWMTHm2T9s/3u5QBefvRlF1v0qjkvmcyIPOcZjxOlN088ftI
+BuTjuuY8er/q7XF1fwaypeXLxh5LHIavyMtAqHwgy0PXqTJzxpYM1idICYtH
+5/Mdm/dam4He8gsuHs4FO/5ULMtAQ7kB5NG3eajd6QUZkMOFjSvgVKzVZEB+
+ndKGx6fYngfHZWRAbq/a8thXxb1vnpgBmR+04/HLNDT1aVQG5OOI9jxe2uZM
+3zIzA9PlFz48CvOsloT4ZWCY3BDxaHRlZGuLqRnoKL9A5/Hx16qKj+4ZqCZv
+MHms3teiS5FLBt5K299OPI64b9gWPyoDkj7o05mH59TGyYOHZkA+LmZjDm6b
+qqwyIJePLjzctMPbHOuTAfn1alf2832n9Ek9MiBvt7qxeHTcU8O6YwYs5Q0X
+j8kvPyZUtspAUxno8JhYP2TIwcYZ+CalKza+GlYxPrpOBh5Kr/N68ti+OvlI
+b+MMHJPaezMeM/FotvArHTJ/MWfPs+6X1G0V6ZCPw3qx6y/Y9cjnfTrk5WHB
+w//xM20rfTrk10dsPNwtVnv7eTrkdrI3jwYPnB/OfZiOmvIN8xjTb3TyiJJ0
+8NLxS18e7fuMiai6ko5r0nT04zFna9/9e8+mY7f0uoKNR4e9GhV4PB0LpfbF
+kkeZ3zDz1kXpkF/v9+dxMarnjJsF6ZC3+wN4dMpU6LO2pcPg4Xg0VfQ6NWB9
+Onk4HmsjTN6WrUgnD8dj87CfU1cuTCcPx8Po5+tOjtnp5OF45OzcZl2VmU4e
+jkdjr04bdyalk4fj4dPG1tMrOp08HA/XhvemVg9LJw/H1rdn8b5C/3TycDyO
+N6s30WdaOnk49jySo8bUmZhOHo7HhsNP5h5yTScPx6NlzX5tZzikk4fjYb3T
+7VftYenk4XgcfdHJvGhQOnk4Hupfyp3T+qaTh+NxxXVSrHHPdPJwPL72UuTk
+d0wnD8fj9PfX3ya0TicPx6Nfc9/dlY3TycPx2PXx4f61ddLJw/F4UdXXGMbp
+5OHYetrltPXNrzTycDy8M2ot0VakkYfj0eKPy42e79PIw/FQFP2YeK0sjTwc
+j9R+X83Dn6eRh+MRUL/tuLoP08jD8TAVPE7n30ojD8fiJTQr1elKGnk49vs2
+Kg2nSyMPx+ar3vCn6mNp5OF4PFybm9npQBp5OB4dd0ZEncpPIw/Ho7Jia8Hk
+rWnk4Vj+c+8w8OvaNPJw7HktO2uSszyNPByP88tmmXXPSSMPxyNtQM3c05o0
+8nBsPUyLHOeVkUYejkf2zznu7xPSyMOx66lps0UVlUYejkerdL+hrWemkYdj
+9WhGWZe9M9LIw/Goc2qnp/2UNPJwPB5tmX/nvlsaeTgez83j1sx0TiMPx+pL
+3Kg9P+3TyMOxeNjxos4C2zTycDwsPvQsajcwjTwcD7Ms4x27LdLIw/Hotcr9
+jW23NPJwbD0k/wi71j6NPByLz4hSu8kt0sjDsfm4UDq5rEEaeThWfx4+Ox1d
+K408HA/LWhcj//ubSh6O5YNjcTPnVKWSh+MRMa2koMnnVPJwPNYFnLBeJ6SS
+h+Mxalzrht1ep5KH4zFj480+e56kkodj6+31iZUD76aSh2PxnnfZ6cT1VPJw
+PKotvjdqxIVU8nA81gy6NOfSyVTycDzyRmc1dzmUSh6O5cfZerF4Typ5OB6t
+Zz01cd+RSh6OrddfDlH3NqSSh+Ox/HVNU6+VqeTh2Hx8rtb84aJU8nA8tvxt
+P3HSnFTycKz+iralD7JSycPxeJ2LfM/kVPJwrN59bXj2bnQqeTgewrecDm5h
+qeThWH5es+HiTf9U8nA8mum7FTlNSyUPx66nrBZ/wSOVPByPkD09A4e7ppKH
+4/F+SkSPY6NSycPxCGt4xLL/0FTycGx+fr5T5lulkofj8Wfslzad+6SSh+Mx
+ZUzBj1XdU8nD8Rhh/tu0YYdU8nDs/u2vzlO3TCUPxyO0rNLuR8NU8nAsHiJD
+rWaZpJKH47F1RI24l/9SyMPxrB/eW+X+I4U8HKvfSufzFz6nkIfjkfH65F0r
+MYU8HMsvs0WzHa9TyMPx6HHsyMXmpSnk4dh69Ki9U303hTwcj0tPz9/8cj2F
+PByb/1/XbWZcSCEPx+OMT83yGydTyMPx6HBq0ivrQynk4XiMfbCt3bY9KeTh
+eAyNubOuwY4U8nAsPv0u+iVtSCEPx2NHmn/4q9wU8nA85m5feMxpUQp5ONY/
+XOrjWpidQh6Ox9OSHl1aZaWQh2Pr86zPsIykFPJw7Odrjq5/MzuFPBwPZVib
+EY6hKeThWP/qENpzt18KeTgeiU7zPBpOTSEPx0O73v9ctHsKeTgebaIfxt11
+TiEPx2PJ75thA0emkIdj9VTRa9ty2xTycDxeOd7vWDEghTwcj1s79r90t0gh
+D8fyU+WWN/u7ppCHY/G9folZg/Yp5OF4lNT2PxDWPIU8HKv3hT/SL9VPIQ/H
+8k3zYQs61UwhD8fW/6lmz1L/JJOH45FsFzD7fmUyeTgeYu+Go/t8TCYPx6Pu
+oD/eWi6ZPBy732otjj57kUwejvUnznYTBz5KJg/H4vmmV/95Jcnk4Vi/4eni
+/uJKMnk4Fi8H/xYNOJtMHo7Vg8tTJmUfSyYPx8Mxbrjdk8Jk8nA88nfl+lvk
+J5OH4xHu7XAtfUsyeTj2fcstY4vXJJOHY+t98ghv02XJ5OF4xJyZOmfW/GTy
+cDzu6QMqTqiSycOxfrTSfnPttGTycDz6dHq+0CsumTwce36b257aEpFMHo7d
+z4lXvT4EJpOHY+vtdItSa+9k8nA80o03X1N6JpOHY/uB8uCf18cmk4dj8/92
+XFiz0cnk4Xgc9BveZvqwZPJwPALfmtbZOiiZPBx7Xt/u2gh9ksnD8Zhu5pDX
+p0cyeTgeG9tNmRzbIZk8HI/qiZWjj7RMJg/H5k80jv/ZMJk8HFtfljNf25kk
+k4fjYdekzqKMf0nk4Xhcn16ScqYqiTwcj2Jx8/a/n5LIw7H+bFNQw+FCEnk4
+dn3h1Y6mv0oiD8djmYPvxhOPk8jDsfrZL+Bi1e0k8nA8fth8M7O6lkQejvXD
+yb9vzD6XRB6O5Z9GM/YWHE8iD8f6IfNaxWUHksjD8Yj+96hXh4Ik8nCsX719
+8vKkrUnk4dj+QFy9edHaJPJwPLpunnTs0rIk8nDs+7yeNfhvfhJ5OLa/im+y
+pb86iTwcjw+xz2NC0pLIw7H+/25Pxdq4JPJwbL9l+vhGcUQSeTgeg9898DQK
+SiIPx/Y/T2u3G+CdRB6Ox521UzoEeiaRh+PR/eUe3+Vjk8jD8agX/uHpeYck
+8nDseZsYr/wyNIk8HOunF9/N6TgoiTwcj8Nvx5wd2yeJPBwP2y9jLFO6J5GH
+4xFUeOLZdtMk8nAsHrvNv1TSIok8HI830zeU/2yQRB6O9RvRz1y71koiD8fy
+jbaf6Po3kTwc6+duZp6P+55IHo7txxVFj9Z+TCQPx6MdX2R2jkskD8f2tx6h
+h7kXieTheHzrcDKj3qNE8nBsv3N4ubJfSSJ5OFaf5pee9biSSB6O1cd2yXYJ
+ukTycOz6Kz2/rDyaSB6OR+29U98c3Z9IHo7V27Koho93JZKH4/GfU0ZC1aZE
+8nA8Ti2PbNVydSJ5OB5O88y+DVySSB6OxdfPlfXc5yaSh2P7iXNbfCIVieTh
+eERd7V8+NzmRPBxb79UsD2yLTiQPx+JhlrbodGgieTgW383bfXzol0gejvWL
+TUoDP01JJA/H4le7u5mJeyJ5ODbfm5L/mDonkodj+4N1vTpb2SeSh2Pr4WxB
+pvOQRPJwPOz93rTw7Z9IHo7lt6cnuBjzRPJwbD+1wfSLpnMieTj2vNt/s1rV
+JpE8HNvvvOhZlNckkTwcu5+YraHH6ySSh+PhFTduyrVqieThePxb0FT5+GcC
+eTgee6OfvuG+JJCHY/XnzdKMb2ICeTgeLoUd3au9SSAPx+rlwSifBqUJ5OF4
+9L8XurX13QTycDzeGv/o2PV6Ank4HvNH1nrY+3wCeTi239uYcXHQiQTycOx5
+WTq9G1aUQB6OXX8HN5fRBQnk4Vg9WZv12nVrAnk4tv/Sny10X5tAHo7lS+e/
+RyctSyAPx2Nq5y5V0+YnkIdj+fVuyyhfVQJ5OHY9JZfb+6cmkIdj+5XV7asH
+xiaQh+NResK4c1B4Ank4HodKAhODAhLIw7H5yuxVPWhaAnk4HotS7a8EeCSQ
+h2P1Xrv8vJ9LAnk41l9F1av0GZlAHo71B41W+E6zTSAPx6PnxNb/vAYkkIdj
+19tX/dCtVwJ5OAG/t+vKXLokkIcTWF9yzNyhbQJ5OAFTD0/dMbRpAnk4Aa3X
+LJxsVTeBPJwArz0YYWGcQB5OwJ1B02d0/hVPHk7Ak3k3DrX8Gk8eTsC0uukj
+6pXHk4dj39djivG/1/Hk4QQc9nb99eVJPHk4AVcG25uV3YknDyfg4bjuOQ+u
+xZOHEzDL6W33y+fiycMJEEtDKg8fjycPJ2DplXW/th+IJw8nYPmLyEHL8+PJ
+wwlo9vfqDsWWePJwAgY3XeMauSaePJyA3i2u95i6NJ48nACbRk7WDvPiycMJ
+ONPyX3pfZTx5OAEubk+rWqXEk4cTsO7j1V1GMfHk4QTsG3AoRwiNJw8n4FrE
+vJ0lfvHk4QRoq6wqD0+JJw8n4IH9tuR1bvHk4QS0unTWUuEUTx6OjeummgaN
+iCcPJ6Bz3snhjjbx5OEE1Bgdu8LcMp48nIAuufM71DOLJw8nIGX6l2fvOsaT
+hxOwN2x5yY1W8eThBDTZ7PO9oFE8eTg2Px+Gus8ziScPJ2C2W4dXIf/iyMMJ
+KLv/ceuoqjjycAJWrly3puOnOPJwAj7omlz8xcWRhxMwfP7wLg9exJGHE/By
+WKND+x7GkYcT0GNATMqcW3Hk4QRkFrvHzrgcRx6Ozb9248bBZ+LIwwlY+8Lh
+b/0jceThBPCzBix9szeOPJyA8Huek4/uiCMPJ0B1cY3bgg1x5OEEvK72Kd03
+N448nIBc75HPLBfGkYcT0PSwMspYG0ceTsDI32sH3kuPIw8nYF7fdItt8XHk
+4dj8+TSbFDsrjjycwPrT8QdHBMWRhxPQzbb9qIbeceThBDSeGF7z6cQ48nAC
+3qPnr52uceThBFT52HeOHRVHHk6AXdtdqUPt4sjDCVj1ZUytWgPjyMMJKI5u
+dPFWrzjycAIWWH06uLJLHHk4AUni/Qc+bePIwwkYMna/ebemceThBMw3j9wv
+1okjD8d+7vsnZF+1OPJwbP4ejXeL/RlLHk6AbqlbxKAvseThBHRY9+VolRBL
+Ho7FY5POg4+/iiUPJyCy8y19yuNY8nACDtUVLg+5HUseTsD6dr5PflyJJQ8n
+wOdgR9OjuljycAIO2LdfFn80ljycgKdjRtn03x9LHk7AiYmaRh92xpKHE3Cz
+TkmrvI2x5OEEjGjXzD1gZSx5OAH/XEacbLcoljycgOOzxky6r40lD8fiN6hF
+l5yMWPJwLH+abegwKiGWPJyAXrpi15+zYsnDCTgyfFX+vqBY8nACnpeI1oHe
+seThBAi7D39v6RlLHk6Arek7/TXXWPJwAqZkpdZMHxVLHk7Az+GeXn3sYsnD
+sXgpDX3wfEAseTgBj17maRf2iiUPx77vc42QoV1iycMJaKiLTCxvE0seTsCl
+BvePrGoSSx5OwP0DZj0d6sSShxOwZKn3lU9GseTh2Prc7rdq7Y8Y8nAs/iu7
+r3L4HEMejuXzDRsuf+BjyMMJ2HLjWPeVL2PIwwloczr00LBHMeThBBw7vzG2
+7FYMeTgB54aP9Zt/OYY8nADfHQEZ/c7EkIcTUJB+79q9wzHk4QSc8l4yOmlv
+DHk49nmf5n9usyOGPByrF18OXT+5PoY8nIDY/kb3vVfEkIcT0HKxb/0/C2LI
+w7H1++dc3Hp1DHk4AaXK9nXt0mLIw7H8MdCv5HFsDHk4AX/ssi4khMeQhxNw
++VEE1yQghjwci2+v1jZ7p8aQhxPQs2XSMUf3GPJwLD4Wps587RRDHk6AcmSL
+0akjYsjDsfVcPMS9qU0MeTgBF0tLF+T3iyEPJ2C12btv6BlDHk5A/FyfnAcd
+YsjDsfrzoptHeMsY8nAChnaxGvO3QQx5OAHpPpmhS2vGkIcTMGfv92Nd/0ST
+hxOwceQS68PfosnDCejoN7xs9Pto8nCsnnp/O/PgbTR5OAFnt+y4EvQ0mjyc
+gP17Rv/9ejeaPJyA0w2uBiiuR5OHY/kwtFNl/fPR5OHYeo8feXj18WjycCy/
+/dd5W9cD0eThWH54XnRmb140eTj2vOuKJtabo8nDsfideyxTtyqaPJyAz9Et
+ujoujiYPJ4D7VPGtODuaPJyAsWOcvk3MjCYPJ2Dx1VqdnyREk4cTYPSya5pP
+ZDR5OAGvaq4wfh0UTR5OQFSx69FA72jycAIqn2CNfmI0eTiWj94G5YW4RpOH
+E5B3dH8ZNzKaPJwA08EtxofYRpOHY/nVc35ZWf9o8nCsn2hXIy/APJo8HMs3
+eUmrX3aKJg8nwL9f6eHpraPJwwkwqexk9KhRNHk4dv1e9knuJtHk4Vg+yPAf
+vPLPbPJwrL+JuvZozvvZ5OEE3N2z427S09nk4QSY5b7uEXJ9Nnk4Ae33hN73
+OD6bPBy7vs09ng7Lm00ejq0nFxO7nqtmk4cTcGP394qG2bPJwwk4+OVVzcr4
+2eThBFjHFkU/CZxNHk7Aj72TrU55zCYPx/q5CafdNtjPJg/H+o0+ty+lW84m
+D8fid0zG8mkdZ5OHY8/30oHjgxvOJg8nYILRdJsmf6LIwwkoTAxpVP4uijyc
+gOr3zw0/VxpFHk7q16ZdXnktijycgL9XOu4MPxZFHo7Vr4V/nw/dFUUeTsC3
+XH1kg5VR5OFY/IZc8HqmiSIPJyBuX3ZuflwUeThWr5w69EkIiCIPx+5naEp7
+uEeRh2P571R2oMmIKPJwLH+ZDTa+1TeKPBzL9/WTfiwzjSIPJ6B7hyFjJtWP
+Ig/H1suoWe9a/Y4kD8fuL8dIeCRGkodj/fggzm7l40jycAKeFTTgPa5Ekodj
+/Y1qptjgSCR5OAGKrLKRV7ZHkodj870ioSJzeSR5ONZfvKj320oVSR6O1f+C
+1VPF6EjycALGxzRotH5GJHk4Ft9PprcbNz6SPJyAT0cSMv8bGkkejj2f+uNs
+CiwiycMJ2FX3vtOktpHk4Vh8N/qz36hOJHk4Vm93nojMr5pFHo7F1/x/Sjdu
+Fnk4Adt2nHlfeX8WeTjWPzZ8t3fNhVnk4QSE1ku+ZFc0izycADSZOvDZ5lnk
+4Vh/f0FZlbp4Fnk4lo8r9U1aZ84iD8f6w7wU1cFZs8jDCTjaoL/zuOmzyMMJ
+cNMaheidZ5GHY/O16dnjNJtZ5OEE5LQ9saVxz1nk4QTM5Rae3dZiFnk4Ae86
+jxs0qMYs8nAsntp9+HfxawR5ONbfugd2mvg6gjwce77xO1a+LIkgD8fqr39+
+QPiZCPJwAs6bB2sq9kSQh2PzVb/kd+q6CPJwAgLTnl81mh9BHk7AsFZz3mmS
+I8jDsedRdD7QZGYEeTgBk93n9J/rFUEeTsCGnjc9TRwiyMMJCFg3t1gzIII8
+HMuHow6tM+ocQR6O1WtxjC61UQR5OBZfc2xsKv6Ek4dj9cdJWSv8fTh5OAGb
+FrTp9bI0nDycAKtXP7d6XAsnD8fyYe12MRePhpOHExDyI2GF1c5w8nCsf3lY
+vcG2FeHk4Vi//9/p0kbqcPJwbP/0fcOf1Jhw8nAC6ik3JJTNCCcPx/LRoiMj
+x44PJw/H+sVRb4OKhoaTh2P7uyrTZy0twsnDsf2nlX9eSptw8nACNh/bda3U
+JJw8HMtPCe9h+z2MPBz7+8W96q0uCyMPx/oRPx+Lb3fDyMOxeIlXbB5/Low8
+nIAZOYvDd+0PIw8n4Or67Hl/N4SRhxNw65b/n4k5YeThWD7JMr28KzWMPByr
+n/ZH3v4MDSMPx+Lzqdkkl8lh5OFYf+8Ya7pmdBh5OBYPRxYP4QaGkYcT4Lkw
+s6B/lzDycKz/DBkandY4jDycgOCmV+Zf+BtKHo7Vo9z2v+p8CCUPx/K/ud2Z
+8U9DycOx70PnR0uvhZKHY/1iRrHDvaOh5OFYv3RmuEmznaHk4dj+vWV8B/cV
+oeTh2P7gxqz5C1Wh5OHY/tXHzPVqdCh5OLb/Vez0qzYjlDycgBad+Os240LJ
+w7H+bEb5vCi7UPJwrH9bWbhhq3koeTi2//KyrfWgVSh5ONZfBM29ULNWKHk4
+tr7OrXtg9W0meTgBNlsThga8mUkejtWHuFY/Ft6eSR5OwJtSVe1jZ2aSh2P5
+/9DxyFd7ZpKHY+ulxZmeJutmkodj+dpl2eDe82aSh2Px9Nhm7YSkmeThBHik
+H/KICZ5JHk7AMovafksnziQPx/q15tbn99vPJA/H+veNDik3+80kDycgLNRK
+y5vOJA/H8rtrXc6o/kzycGy+p11f1/pXCHk4ln9fJu/sK4SQh2PrybdtrVEP
+Q8jDse9bdfCE18UQ8nAC6iidL4YUhZCHY/c39nWXxM0h5OEErAhRPFQvCiEP
+J+BxXO+Xi9NDyMMJUHu+G7o2PIQ8HIvvLhc+bZ0SQh6O5ceBJ6ryx4SQh2P9
+TItHnvutQsjDsXhY0cnkYJcQ8nACRh3c0PBw4xDycGx/fNAr4vDfYPJwrF9u
+7GZ66H0weThW/xUruh0oDSYPx+6nspdyz9Vg8nCsfm5oN3DnkWDycAJ2vo6y
+3bg9mDycgMGhfVatWBZMHo59flM/53mKYPJwIgL/NHJPjwomDyciXz1mX6R3
+MHk4EWq7Bv4+LsHk4URU/xEZ5moTTB5OxH9XY69Y9wgmDyei5+/uaV2aB5OH
+EzG69TJNPeNg8nAiHPlzb79+CiIPJyJ61tnVj58HkYcTkSGu3nbqRhB5OBGX
+nk+qsel4EHk4EQG1ap3M2hVEHk7EZN+iK765QeThROzrENprqDqIPJyIHWcG
+vm0VE0QeTsStis5fv/gGkYcTYV2EydfHBpGHE7G499qmW2yDyMOJcL4/vFui
+WRB5OBEXptrlOLcMIg8nYtaeDaxlDiIPJ0L4FTfj3ZdA8nAihhy8ef34y0Dy
+cCJeqI7kZBcHkocT8W/SiB3uJwPJw4lY4p3SvF1+IHk4ESlGMaVvVgaShxNx
+5NPgqjxNIHk4EdpWT8MjYwPJw7HxjshBln6B5OFEvDb5N+nLuEDycCLiP2wq
+KbQLJA8n4uNo/01R5oHk4dh82nte7tUqkDyciKiJ8x30NQLJw4nw6dOi7cav
+AeThRHhcrOXo9SqAPJyIiPExN+reCiAPJ0IzauauMycDyMOJmObzuzQ6P4A8
+HLufVSNCOq8KIA/H7t/Sxfm2JoA8HJufPAtNRmwAeTgRqed+tDT3CyAPJ+K6
+8lK1e+MCyMOJmNl/p0OaXQB5OBHK6ftfdjYPIA8nIuRW5d3LLQPIw4nYtG5R
+h/AaAeThRHRrvfh8va/+5OFEJD+rr9v90p88nIiHF02buxT7k4cTMeXLo3Pc
+CX/ycCJML7tfVeb5k4cTEfNuS892K/3Jw4n4Pu7lyyK1P3k4Edc6dP7iFONP
+Hk7EnnuZ05/7+pOHE2HRs3HH6LH+5OFEXGn9wa6arT95OBHtP/QpWtLTnzyc
+iLp93yk7tPAnDyfiacGw3QXG/uTh2HwmD+876LMfeTg2H19q1Tvz3I88nIgO
+RwrtR9/wIw8nYuRer7vXj/mRhxOhqt749PidfuThRPyw+FXtznI/8nAiRrzq
+u8Vd6UceTsTOTtfW3o7yIw8nwsWq7OM4bz/ycCJc89dtuObsRx6OxaNnvV2j
+rP3Iw4m4OnFCvVPd/MjDieDraK4PaOpHHk5ExeicaxP+zSAPJ+JTt+BDg0tn
+kIcTsbpnsVfbwzPIw7H49vy399fiGeThRBxysD79KHwGeTgRAzoeUB8YPYM8
+nIg2G/Orze00gzyciPn1fa2n//YlDyci3bF+d4uHvuThRNQ58/V6VaEveTgR
+l2PczM8t8CUPJ6JJVdCIOSG+5OFYvCZEN3ax9yUPJ+L4roNr6rT3JQ/Hxs9m
+P7v03Yc8nAirKu5x5h0f8nAi/KKmL7ba40Mejv18fGMjPtuHPBz7e2tni5X+
+PuThRPj6uzQZOdSHPJyIcaumFJW39CEPJ0Jnd7zhki/e5OFEjHcs6jHgpjd5
+OBFjnef/ur3TmzyciFahc+fPUnqThxMR5v/tYQ1vb/JwIg7Pb/lqzWBv8nAs
+/9yx3mnRxJs8HHt+J7eYn3g3nTyciKkzN4aPvjydPJyItTnJYcWbp5OHE9Ev
+Pa2HR9p08nAijnWq2HLPazp5OBHP/lo8c7ecTh5OxOZBcQ9u1p1OHk7EycyW
+ixz008jDiXjXN6jWcd008nDsftnv9Vo7jTyciIOd7KxXx08jD8fWb4ugz8YT
+ppGHE9m6SwwPN59GHo7d762LO25Vn0YejuWDL5u29nsxlTyciPJn0/wXHptK
+Hk7E4BtOb/hlU8nDiTBffro7IqeShxPhVdCg93LHqeThRJh0X1T5tvNU8nAi
+th5Zoer/3xTycCIqDyTdS3s4hTyciKV1FgnnC6eQhxPRxa3f+VoLppCHY/F5
+7KCfY/AU8nAiglrFX9RgCnk4Vu9fX/twps0U8nAsP/Zu9LyyYjJ5OBEtD2xc
+Zn5rMnk4Vg+u32s4LW8yeTgRd+LresxRTSYPJyLYbZP3Ae/J5OFENNz8qe/j
+wZPJw7F67jL12u/Gk8nDsXz4xLZ3+3eTyMOx+UivmDzk0iTycCK213o7duKm
+SeThRGz5FFYvPGUSeTgRTb3E5RkTJ5GHY+v/53luYZ9J5OHY9zlOrbHOZBJ5
+OBGRYxt92P7aizwcized05bdJ73Iw7H69F9Y5/25XuThRDyv/Thy/2wv8nAi
+Wi/5kb3H2Ys8HHseXP/InV29yMOJqFb7XacNfzzJw7H1u3bB1iWPPMnDiTj/
+Lu2r4oAneTiW3yq6NYla4EkejuUfz89/Jwd7kodj63Gq06nh8CQPJyLrxyrn
+Lm08ycOJcLrnssu4YiJ5OBE1Bxc/eHlzInk4lp9b5zw4vnMieThWPzpW7lyi
+mEgejq3HNYkuQdMmkocT4a3JOmtlNZE8HFtv87LqGDecSB5OxC8jvvtN3oM8
+nIiFH3u0XH7Ogzwc62dqHiidtM6DPJyIRruq4loleJCHY/H3NvLN/fEe5OFY
+P5cyp8diMw/ycCK2PT42YoyxB3k41s91SOr/66k7eTgRn9va/Cw47E4ejtXn
+sbGrpyx2Jw/H6tnb9Y2qh7mThxMx8Fy/GQUj3cnDiXBL2TZnfHt38nAizrnF
+zPtU6UYejq0/NAteWOJGHo7l04/V25nlu5GHE9Hs1JndOpUbeThWr47pWnl6
+u5GHY/k+Xz1DP8iNPBzrh2vNVcc1ciMPJ2LRz9zaf+5MIA/H5uPFyov1tRPI
+w7H+U2gytKXNBPJwbD0cNIlu8248eTi2nh1S/VtuHE8eTsTKhpFNGriPJw8n
+ovuXMsWf6uPJw4nItRUK+SPjyMOx/nVX5tYbYePIw4koCj4wKb/9OPJwbL4b
+L7ilKBlLHk7E9KOt6nmoxpKHY/ntcVAD00FjycOxfmWm8uFr3pU8nIjZ1zJm
+bl7rSh6Ozc+jiHNTxrmShxOx+6Wvvq6RK3k4ln92Rtw/UuRCHo7tL4LyFnsH
+u5CHY/d7vXfr/1q5kIdj82ncdHbudWfycCzf7Y7NNctwJg/H9jsvw3MO93Mm
+D8f6vwGtvYa+cSIPJ6LFwTWfT61wIg8nYlJ5Iz9rRyfycOx6XqzfvvunI3k4
+EXMbB+na7HEkDyeiVDn/gNLXkTwcu57CwelvGzuShxNxb/WSTrgwhjyciKPH
+zm1akTCGPByLpwaVv972HEMejq3nFpMH9ikdTR5OxI07LVyic0aTh2P58ZLf
+iL3DR5OHE/G3KrRV2WcH8nAs/1b43W6+zYE8nIge19JnwcuBPBz7+wZf3wea
+OJCHY9/3vMpDdXwUeTgWD08vb1obMYo8HKv3Vmvu7zEdRR6Oxfeagq/HSkaS
+h2P9lovN7zPKkeThWL5soPx0ZuBI8nAsPw66dPuY3p48HOs3N43ZvGeVPXk4
+EV8OO81Y62xPHo7ly5jGjVS/R5CHE7Heq6wwcO8I8nAiDiTVH4MZI8jDichJ
+vVvSvMkI8nAsf3etvumqFuThWH9kXJwzXRxOHo7F67BNEW/GDicPx/LJzjbD
+fQqHkYdj+8GBL2vdbDaMPBxbL8Yrr/ZNGkoejuWz6bxWW2pHHo7FQ2GW/e1h
+duThWL7Z3PBvwy225OFEPP4+5ox9DVvycCy/7X+hCZ05hDyc9PNFnurrNuTh
+RGzo1dxyWR8b8nDs+Tzr0zZ3iTV5OBF/7m9skVMxmDwce/6N+3RPmjSYPBzb
+H13a4jrp+CDycKxeBF1bYN5+EHk4ls9WxQmfM63Iw7H7Gx0XtOf1QPJwrB7l
+bjT2dhhIHo7low+3Lv3bOYA8HNt/fH1VuKrOAPJwbL0sOnS566z+5OHY933q
+XXf7LUvycOx5zLXMbN3fkjwc20/29HA17tmPPBx7nuYmJqfe9SEPJ2LFAb9B
+voW9ycOJuP1l9DMh3oI8HOtvj2yv5j2kF3k4EaPDY3Yf/WNGHo79fstdL3+f
+60keTkTXcMftZtk9yMOJiD427d8wl+7k4Vi/9e/Td7uG3cjDsf2T0H5pl7td
+yMOJSLj1596X3M7k4Vg9PXX4Uv7UTuThROTrnz1eYduBPBzbvz4pXL/rXDvy
+cGy/dMrr7QKnNuTh2N8nOx63L2lJHo71n/GNLK55NScPJ2L5dofRXZ41IQ8n
+orh5K/O1FxuShxPhmdzbdfntOuThRDR/6FTX8lkN8nAivm5rYPT61r/hBg/H
+4ueETU5+WeVwg4dj+aBhxJO4Cn64wcOJuOv8rmBZ9NnhBg/H7jfiT0urlJdn
+DB6O1YPsqZ8Db3w5Y/BwrP+79nXQgOO/zxg8nAize+W3n94z1hk8HMsXhfP/
+pdww0Rk8HOuHP43JibtQX2fwcCLi9DZ9y5431hk8HFtvzzb3Gjqtmc7g4UTY
+7xf2nnvYQmfwcCw/nVtcED+xtc7g4aTzFJNmXrfb6gwejvUHoQefBIwz1Rk8
+HFvPvPB5w/WOOoOHY/F9NKl79W6ddQYPJ6LQ0uhDcUAXncHDiVDM6eq0f0tX
+ncHDsfid8rnfrlfddAYPx/pXy6gNhzv20Bk8nIjeCzbMK/XtqTN4OHZ/JUkf
+Wmw00xk8nIiXLp/OzXxurjN4ONaPDfj0r6S9hc7g4coxe930zeO9e+sMHq4c
+h9KarH+7ro/O4OHKcX87927R0746g4crx49Xng55DSx1Bg9XjvG9lg5asddS
+Z/Bw5fhvSu0xC8b11xk8XDke/WsZu/BDf53Bw5Ujp3XLI2sXDtAZPFw5OhlP
+b3iwz0CdwcOVIyPLOulh8UCdwcOV4/fhn+9rRFnpDB6uHILF+4jhDQfpDB6u
+HC2veH1W7RukM3i4cvjfSEm8O36wzuDhyjHsyapfvT8N1hkOFMsx8v275GWL
+rXUGD1eOoqn7Phhb2ugMHq4cjUqaeWXettEZPFw5NriN210jZojO4OHY/VvP
+fZ/bxFZn8HDlWDfgY/MBRbY6g4crR/yIHZ2eeNjpDB6uHJFFJfUWVNjpDB6O
+PR+znLuOK4bqDB6uHMeWVUY3GjRMZ/Bw5XjVq+vb1w+G6QwerhyVSWbddYnD
+dQYPVw57lxYDd7WCzuDhyhF3orL22mPQGTxcOZo1D7tzo/cIncHDsd9fP/nv
+hIwROoOHK4dv+Zh5T4pH6Awerhw+KwZFh3aw1xk8XDnuuXU68F+Uvc7g4cph
++72ay0qdvc7g4coxOvWezaDGI3UGD1eOnl8WpD3xG6kzeLhyPMvp1Fh9YKTO
+4OHKkbJe862/8SidwcOVI3FBfg/OY5TO4OHK8fNV5vZN20bpDB6uHD3wNcL3
+2yidwcOVIyzgU2qX0Q46g4crx8VOfiXvch10Bg9XDtOw3jNPcA46g4crx6KR
+tiMWWY/WGTxcOfbdiJwyc+5oncHDlYMbkr939JPROoOHK8epxzeHmfcaozN4
+uHJ0r3O0VtO0MTqDhyvH7REOtYxujtEZPFw5MutMsK1o76gzeLhyuBoVbn4X
+6agzeLhy1HwwzFo846gzeLhypDoX/37XyEln8HDluGbZ/32Fn5PO4OHKcTTK
+tla1IiedwcOVw7jqqGOz6s46g4crR+HNxH29PJ11Bg9XjuBqI20cdzjrDB6u
+HCcOvXkT+t1ZZ/BwbH0167RnsaOLzuDhyuExWbf05GoXncHDsed/Sb30veii
+M3i4cuTt65vfxc5VZ/Bw5egflfXQJ8dVZ/Bw7O/DBrba+NxVZ/Bw5VjWsFbY
+275jdQYPx57/g8JrfRRjdQYPx9bj0HeDM+6M1Rk8HIvfa/+3aN9xNbf/H8Dt
+lZmdrGQLlazc3pIdGtqlvfc47XNO52SVyAi3rCKb4ps98kYyyr5DZERWn+tj
+JrJ/1+/xvv68H63zuT7v8brcz5DCOwbzkDwcrw+dGqPhinlIHk6CL+uaH8ko
+nYfk4SQo/a01f9dtPpKHk2BVTfNSh6D5SB5OggNvJs0rOTUfycNJ8Lzw9h0z
+HWskDyfBleogmwJ3ayQPxz/f4AOXhxZaI3k4CYYbmZsc+GuN5OEkWG298OrG
+ITZIHk6C4+teRnrY2iB5OAl0J6VlDUq2QfJwEpj0ajbg0w4bJA8nwd0W40ac
+K7dB8nASrLv7eu/KLzZIHk6CfTZP//XsbYvk4STIsH3zzXSGLZKHk2B7ftmV
+NpG2SB5OgmadbVq8/NcWycNJ0Cd4chGet0XycBIEhbmVba21RfJwEnSvDp2n
+1rVD8nB8Xi8ynehtbofk4fj3d45bNcPPDsnDSZA447PVyJV2SB5OArPboRE9
+jtsheTgJ2nlur2/2zA7Jw0kQsMW2uq7lAiQPJ4HtiIlGr0YvQPJwEkwq6F5V
+6bIAycNJcPDErrc30xYgeTgJPj/ZZn/lwAIkDyfBswNne1+sWIDk4STQ7D4x
+FX8vQPJwvN+sZl48N8geycPxeaprsPm8tT2Sh5MgIvh3+aVEeyQPJ0HViZUL
+yrfbI3k4Cfa7Lx1dUWaP5OH45y3M8X5WZ4/k4SRY+SPxlazvgOThJNBbWnH6
+13QHJA8nQcgKt+r2kQ5IHo73G5y1H7DRAcnD8X11Jb/bxAsOSB6O7weLc4YL
+JAckDydB2sXjqojOjkgejte73bh+KyY5Ink4Ce5/fNvmoL8jkofj83FV7KSb
+WY5IHk6CsG7qI59POCJ5OAkOeRdG9HzuiOThJHC32Bc2tY0Tkofjny9J92C4
+qROSh5PA4cKK4ZvdnZA8nAQdL52qLVvihOThJMjuO/HVr0InJA/H549fgb5x
+pROSh5PgY7eirMDGzkgeju+Tg68m5A1zRvJwEnRZ8VK/aoEzkoeT4FbHOWN7
+qJyRPBzv3yWHFzvtdkbycHxfD/5fi5xbzkgeTgKXgS9PP25wRvJwfN5src41
+MHBB8nASzMyddDTEygXJw0lQN3zl16MKFyQPx9+3aYB/420uSB6O55V/Xf9a
+X3FB8nAStB/y62LeRxckDyeB/q6qwrqerkgejs/vc+kXZlm6Ink4CVp2Xvs9
+N8wVycPx+Tl6icP39a5IHo7vj+z3/9mjK5KH4/26xyW26K0rkoeT4G+pjYmu
+rhuSh5NgzdiFHRTmbkgejv/9US1bV/q5IXk4CUb/d6/35Cw3pAuSBF9Nrefu
+PuGG5OEkaGzTsLbjczckD8frs7PDR2UbdyQPx+er41sfZuqO5OEk2PHUtNZt
+oTuSh5Ogh+dJ7c2l7kgeTgKb+PphlofdkTycBDGHgmtOPXRH8nAS3NSu3WfS
+dCGSh+P9ayOnFIxYiOThJDAM/ew8zHEhkoeT4JNOX9iXuhDJw0kw14WNGLZv
+IZKHk6DY71a/grsLkTwcz2/DpvY0+bUQycPxfZt9qsupgR5IHk6CDdH7O021
+9kDycHx+adPb30j0QPJwEiwIu9zadYcHkofj+aXkXuPacg8kD8fnadPB9Un1
+Hkgejs/z7KEv2vb1RPJwEphesrqyfZYnkofj53f7x47xMZ5IHk6CvKodsXc2
+eyJ5OF5fXwrHhZV6Ink4CZw6Z7xr9cETycPx+dz2xrUFbb2QPJwEG18bdjHs
+74Xk4SToFfvXvt7MC8nDSXA9dVXmlTleSB6O96t1yxObPL2QPByftzkb70co
+vJA8HD/PdEWtZYYXkofjeaC4/H3PbV5IHo5/Hqubrz4WeSF5OJ5fzxy4cfWK
+F5KH4/XaJnvX9sdeSB6O9/++orCUT15IHk6CMynjDRxbeCN5OL6fqmxLjXt5
+I3k4CV6sH+7QfrQ3kofj9cI+3WbTvJE8nAQ+a26PK3PxRvJwfD4d/py+L8Ib
+ycPxfPg6rSRjkTeSh5Pg29QDr0M2eiN5OJ6HrNZ/mlvgjeThJPBsCK4ZddEb
+ycNJoHPc9kznB95IHk6CU36KxAbmjeTheJ52/t7zaSMfJA8nwQ/nlrmXuvog
+eTiez7dfanFwmA+Sh5Pg4gtHm3Xgg+Th+LydXJOssvdB8nA8j1tlLQkM9kHy
+cBLIXZWRdmofJA/Hz0fv9rjJ2T5IHo7X49yCJ8P2+iB5OAnKOo716lHsg+Th
+eF6zWHGuxV0fJA/H8+uIO9/qX/sgeTgJBqwdqPP6pw+Sh+Pzc8++b/c7+iJ5
+OAlGdlOdvTrQF8nDSXDn+znnMxN9kTwcnyc1K8sLrX2RPJwE1vdbdsn380Xy
+cBIst5pjvDHJF8nD8XwyMsYgK8sXycPx+qze/Hpxvi+Sh+P3N9MapfKkL5KH
+43kvyvel4oYvkofj+WfBOP2IF75IHo7PR52kAUHffJE8nASV/0z97tPWD8nD
+8Xne5OAWj/5+SB6O98urm23dxvoheTh+3q8vznK28kPycBK0UeVaO3r5IXk4
+Xh+rU/o5xPkheTg+P9Thp+2X+yF5OH6+epn6Drl+SB6O32/21053POqH5OH4
+vnm71cz5mh+Sh5NgcYuzkutTPyQPx+fbHic/jzo/JA/H59WrRdt9WvkjeTie
+V+Yv2B7Y2x/Jw/H88fqBT7iJP5KHkyDKcMCr2Jn+SB6Ov6+v0wenuPsjeTj+
+fs/ZDFkU7Y/k4Xg92y94k7nUH8nD8X3RbKHv+s3+SB6O59ts5ebcw/5IHo7f
+l8edz9pf6o/k4STIzTWbdPyRP5KH43//fe2Oix/8kTycBP8rrr1wq1kAkofj
++VffYuOTngFIHk6CEWt+GsojA5A8HJ+P3QwDf1oGIHk4fv/qU7pQxyUAycPx
+fLb2bUv9iAAkD8f3x51//YwWBSB5OD6vDlfFwMYAJA/H30fKWWO7ggAkD8f3
+yTeLPP+LAUge7v/3UWxx0oMAJA8nwRJfp/QsOQDJw/HnGfnlb37jQCQPJ8Fl
+L+sBp7sFInk4CYZ1jvh0e3ggkofj9XvfPvjtlEAkDyeBQVHL5Y0cA5E8HO//
+wcvteoYGInk4CY6NfnbBRBOI5OH4vv2n9YO56wORPJwEnSa2WRO4PxDJw0kw
+Ob3mfRoGInk4Ca422/BhW0Ugkofjebe5wdoztYFIHk6CTc7L7lX+CUTycBKk
+zyw9+bVzEJKH43lw3aOJXYcGIXk4nqeUpa5jJgcheTh+Xzy2qLv9giAkDyfB
+v1G6UYqgICQPx+93rhG+61VBSB5Ogimbsj8eXxuE5OH4/eaOqtvDPUFI/3uQ
+14v+kIqfZ4OQrgsS7O66ckjfu0FIHk6Cl7d361q+CULycDxfPItYE/grCMnD
+8fw472n+ik7BSB6O9/Oud7OKBgUjeTgJur5bl1ppHozk4Xi/7i2f8dcmGMnD
+8ftVZfrWQQHBSB5OgswfF9PmpwQjeTi+X3Wi6uNXByN5OAlUS5d8yd0VjOTh
+eD/7NqivnQ5G8nC8X3sWZ9fdCkbycBJY5l0x7vMqGMnD8bwQpuM8+0cwkofj
+70uR0jyuQwiSh+N52qjNhO2GIUgejv/8in2fbkwIQfJwEji3tBr5c34Ikofj
+94P1z94N8QtB8nA87xQ6jXJKCkHycPz55+V/WpIVguTheB5n/zM9lh+C5OF4
+PlkW8+XlyRAkD8fzx/b/TLreDEHycBI8NC95N70mBMnD8fzyZKRhQkMIkodj
+0HV103t724UieTgGM58b/X1kEIrk4RhY1ORsbzc+FMnDMXg2wvTMlHmhSB6O
+QbdHL+cofEKRPByDhStyrPcmhCJ5OAYdQs2vPl4RiuThGNwfcPRIpx2hSB6O
+QTsmd5x5IhTJwzEwVd58qrweiuThGFjrWegfeR6K5OEY+K4ecbX2ayiSh+O/
+zzjxeb+2YUgejsHbR20CnfuHIXk4BoafypxWjw1D8nAM7vhuK7pqFYbk4RiE
+HAyJb+wdhuThGHS51WXHxPgwJA/HoLubdowiMwzJwzFwCl03ojAvDMnDMajY
+bZzx9lgYkodj0M9i0uwB5WFIHo6B9GNDqEd1GJKHYxBrYPghpz4MycMx0FtX
+evdem3AkD8fgyWn3rrr9wpE8HIPq1WXH5puFI3k4Bg25H4oy54QjeTgGo5sc
+1LnmGY7k4Ri4+jw71yIuHMnDMdj6K6h82vJwJA/HoHHu4NGLcsORPByDZvu/
+swtHw5E8HIORnYp/NyoLR/JwDHa7WftNeRaO5OEYXN25so/mSziSh2NwaYv9
+8POtI5A8HH9/GZqMRn0jkDwcg1PT342zGBOB5OEY7JoWb5Y2OwLJwzFYu+qr
+psQjAsnDMWhzdVbP5ooIJA/HwGjIzN8zMiKQPBwD90XlwzO2RSB5OAZPZxzK
+Lz8SgeThGGQnl/u2vxaB5OEYbL7QEGL7NALJwzHQdetwcl1dBJKHY3DC4M3s
+ylaRSB6OQcEap776fSKRPByDoThunJdpJJKHYzDW22P1zlmRSB6O18+N7UNr
+F0YieTh+Xt8fNB4ZG4nk4fj7VN7vHpseieThGPy3Kibk5NZIJA/H4Hk7bcPv
+okgkD8fgctz985ZXI5E8HP/90oyLGU8ikTwcg0Omu3/e+hyJ5OEY7HhWY6bT
+LArJwzE4bYPphe2jkDwcg79lN+tte0YheTgGCk2Ksn5AFJKHY/C/hJH6OSOj
+kDwcA5sVNhWTJkQheTh+3pFzdlZbRiF5OAYlexZnLp4fheThGJStDcwY4hKF
+5OEYpPq5bb3uG4Xk4RiMGXL1clREFJKHY/D+fNfmXZOikDwcg5e1B5xOLYpC
+8nAMvo/9XLwwKwrJwzEw7mozrklOFJKH4+dfPqJkd34Ukofj/Zf0wcuqMArJ
+wzGI0//b4ePJKCQPx2BvxsVb60qikDwcP6/YvNwJN6OQPBx/nqC/6qeVUUge
+jvdjxfTwRTVRSB6OwZffD4OHvI9C8nAM3NoaKG40RCF5OAYHmy7OjGkajeTh
+GOhf8T/UvX00kodjYNXT6NnZHtFIHo6//y2g5zMgGsnDMXhU0cSr5choJA/H
++2Pg40MHx0cjeTgGo+6Nbm1nGY3k4Rhc0AkI/TYvGsnDMcioqL63xTkaycPx
+8+7TYtZU32gkD8dg9ZmJF96ERyN5OAYD/WqmrEyMRvJw/O8f9btssigaycMx
+WDd6gG3lymgkD8egasqiatXGaCQPx2Dx2NrYAfnRSB6OgcOcU22uFUQjeThe
+T1uddkacjEbycAwszYdM6VISjeThGBzuvurJqRvRSB6OwTTdjymeldFIHo4/
+f32hXvOaaCQPx58vcdSp/e+ikTwcg/DJ9xxtGqKRPBw/38qmdfVNYpA8HAPn
+0j4rN7eLQfJw/P3GZhha9IhB8nD85y32nHxtEIPk4RgcU1bNWmEUg+ThGJj5
+Z1QYj49B8nAMlo/o4vZgagySh2PQ99vTKuW8GCQPx+Dr47mOBs4xSB6OQbx0
+/toVnxgkD8dgUv9tZuHhMUgejoGcODNHNzEGycMxaFXd98uJtBgkD8fn6aTl
+0xeujEHycAxehdeuaLIxBsnDMcixyru2Z0cMkodj4LK308+5BTFIHo5BuW1e
+v88nYpA8HIP8Tocm/HsxBsnD8XoozJs+6UYMkodj0P/dA8vnD2KQPByDI6tP
+mC59EYPk4Rj4ue/oMvxdDJKH4/Ok889Xt77FIHk4Bj+UhnsUTWKRPBzfz55a
+p57tYpE8HIM3SxVfi7vHInk4vj9KvBb5GMQieTieJ9je3y2MYpE8HJ+fVYf8
+DoyLRfJwDCYkVJ6wnhqL5OEYeB9Y8rVubiySh2OwJ0Kv30anWCQPx8Dj4nfT
+ST6xSB6OwbkjS42rw2KRPBzvZ3fDHosTYpE8HK/P12ZvBqfFInk4/n6X9dlW
+viIWycPx/LHMYlLkv7FIHo7vjylNLujuiEXycAxm9740/PjBWCQPx2D7NinF
+5UQskodjUOr88PCvC7FIHo5B1te6a7nXY5E8HIN/Jm67PPVBLJKHY3D8j/nu
+V89jkTwcg7PjjYPS5VgkD8fnX8NzneHfYpE8HJ/nwUWrbzRWIHk4Bkn3W3yN
+bKtA8nC8P/Zamut2VyB5ON5vQTc8j/ZXIHk4BoEXWvk6jlAgeTgG57Wu0xrG
+KpA8HIPizYObbrJQIHk4vq8H39tmPleB5OF4ffld7fbEUYHk4Rh8PB0QovZW
+IHk4Bmlnu+b0DVMgeTi+7waZ7zgfr0DycLweX05a4q1VIHk4Bsvaay2arFAg
+eTi+z96F39+xQYHk4Rhs+hVsabldgeTh+Hx/W7Ws5oACycPxPLNuWP6i4wok
+D8egUffidQMuKJA8HK+HCz/cSsoVSB6Owd3eVg0+9xVIHo7Biw9dg5s8VyB5
+OD7fJpQUbGcKJA/HoMnEM6VTviqQPBzfX9EBh581ikPycDyP7jAKV+vEIXk4
+BrZ3k37qd4tD8nAMxlsddT3TLw7Jw/HnyZ2x3GV4HJKHY7By/6aMb2ZxSB6O
+99saPef1U+KQPByfz1dH15tYxSF5OAaZHWZ53XaIQ/Jw/DwSyzeGe8UheTie
+R4MGbWsTGofk4Ris2XApck9cHJKHY/BHV7fdNE0ckofj5zEtJa56eRySh+N5
++l3YXuX6OCQPx/PkCPtdPfLikDwcPy/VttCj++OQPBwDTzz1w/pYHJKHY7De
+uIsdwzgkD8fnXbJ+9NKyOCQPx/f1Lgun/vfikDwcg9bD6pqefRaH5OEY7KzN
+i3eU4pA8HH+eMWcKP36JQ/Jw/OvXig4s/xuH5OH4PHrcEGbYJh7Jw/F67Pr3
+U3GXeCQPx/dn9riJTn3jkTwcr88PXaZ/HBqP5OF4XpzcRjdjTDySh2Mwt2tm
+Xn+IR/JwPG9n6Hw8NTseycMxuG3aqJGdfTySh+P3JbOnt2o94pE8HJ/nY3t5
+aoPjkTwcg6hwo4IeingkD8fg3ZbMU4fU8UgejudvvYJFMzLikTwcA/ObrXWe
+ZMcjeThezxP0rGO3xSN5OAYjFE7WrffFI3k4fp8ba66TeyQeycPx/qyAtDHn
+4pE8HJ9ns6qPXLsaj+Th+P1o1MZcj//ikTwcgxu3aqbVPYlH8nAMCvWn5C97
+G4/k4fj7OzHsdK+6eCQPx/Px5/4Zh37HI3k4nq/u7+xg2SoBycPxeTHQdN59
+3QQkD8ffh9s8i+DeCUgejufBYwr2c3ACkodj4GUy3CrLJAHJw/Hn21Dn2e+f
+BCQPx/NTpO3QopkJSB6O50W9a7st7RKQPBzvl5JnDyrcE5A8HM8bob3O+gcm
+IHk4/velJgu+RicgeTgG2q+9tyxVJiB5OF7/BvUbui1LQPJwPP+86WS5e00C
+kodjoLPrT67ZlgQkD8f3x64ZBZd2JyB5OP79BvEhC/6XgOTh+Pyy0nvw/EwC
+kofj9Tb9wufIywlIHo7PV+MfZ3/fTkDycAyGmziYZVYlIHk4Bp3Dfd16vE5A
+8nAM9nU6MXLXxwQkD8dgqXtNofHPBCQPx89ri7KquHkikodjkGfW4+jsjolI
+Ho7fb/fNHX9PLxHJwzHI3fC/QK+BiUgejkHbkmcWbFQikofj9zf96MtxExOR
+PByD9PON6v9OS0TycHz+/Rl2I8M6EcnD8TzptXJ+Z9dEJA/Hz6fgcuIWv0Qk
+D8eg6ft4q4GRiUgejr/vOLhckJSI5OEYBNdcfGu2OBHJwzGIGb6rqDgrEcnD
+Mdifkzlgek4ikofj+a5S3/x6fiKSh+Pv+1uj73aFiUgejoEm8rn7w5OJSB6O
+77+hwQGeJYlIHo7n/cXTur66kYjk4RjMdOsfHFKZiOThGIS1PeT94UUikofj
+81217U/su0QkD8ef33AHNHxLRPJwPK+2jTBUNklC8nA8/1SdOPi3bRKSh+P9
+82RsZVr3JCQPx++bTXfubm6QhOThGEz+cqp7+ogkJA/H7zdtzIa3GZeE5OH4
+efn8V51pkYTk4Xg9V9mPbzc3CcnD8XwyKMU4yzEJ6Z/veR6+1Pp6e+8kJA/H
+oL7b5ZarQpOQPByvR5+El+3jk5A8HM9jD157Z2mSkDwcv09seZbaLjMJycMx
+6HFn5OQV65OQPByDyi35W9rkJSF5OAY1Jh02p+9PEh6O78/H0ya0OJYkPBy/
+vzbSS1iEScLD8f8eGWDfqCxJeDgG8wY2vaOsSBIejp/v4+tyw9Mk4eEYqFdv
+36OoTRIejsH8K96NP9YlCQ/Hf97j4/eQP0nCw/HzXmuy5lWrZOHh+P5r1fGK
+Z+dk4eH4vqyK2fywd7LwcAya589sv2BIsvBwDB6oVX2vmyQLD8cg2qDFrWn/
+JAsPx2DQs3v6xTOThYfjz3uoppWZXbLwcPz9WgzNPuieLDwc3/fN8s8MCEwW
+Hk6Gj8Y2aZuik4WHk6H0kcmbjspk4eFkSK+zlpYuTRYeToZZXocyf61OFh5O
+BvPG7uXRm5OFh5MhAX33vd6VLDycDPU5Dwa6HU4WHk4GLCqfcut0svBwMoS4
+O/2YWposPJwMVwevtzt+K1l4OBmqP+2YPfRRsvBwMgz+vP3Z5pfJwsPJ8P3q
+8S7tPyQLDyfDwqzWtanfk4WHk6HT81L3T01ThIeTobJeL8qnfYrwcDLo7TEf
+8F+PFOHhZChf7BFvOSBFeDgZ8l8WBx8xShEeTobdn//9bTA+RXg4GX5dGGmy
+dmqK8HAy9Pa42rLxvBTh4WRef4XqSKcU4eFk2BQ++t8n3inCw8lwOSrX1ios
+RXg4GfovsSs8GZ8iPJwMdlt3FgzUpggPJ8MB3XrrtZkpwsPJ8PTknvV/1qcI
+DydDx8+GqSF5KcLDyeBY8rDt/f0pwsPJsL12HFgcSxEejp/Ph2PdDmKK8HAy
+nJlyK7tbWYrwcDI8mdbshKYiRXg4GbKiH2mkpynCw8nw3PfxpwW1KcLDyaD9
+ltOmuC5FeDh+3h57ywf+SREeToad5jvMslophYeTweDk4NlfdZXCw/G/n/e0
+hUdvpfBwMoxTx0SWDlYKDydD5uF1i0aYKIWHk2HU8l+W2ZOUwsPJ0C0s8H/f
+ZyiFh5PB7MXG6562SuHhZDhy3nVDqZtSeDgZTluoOgwPUAoPJ8PbAQ/Gr45S
+Cg8nQ8q16Z3rk5XCw8nQz7kg12WJUng4GVQPG54Wr1IKD8e/313vbv9NSuHh
+ZLDsrpO8ZKdSeDgZ2i0vf/C2UCk8HP88O3xlq1NK4eFk6Pz8xcnCEqXwcDLM
+VnpN7nRTKTycDFfSf6piK5XCw/Gv961KvPdCKTwcf57FI0ePe6cUHk6GP3ZG
+uzZ+UwoPx7++o/vD741VwsPJ0GXs2BuubVXCw/HPv/NR2pluKuHhZEhe5vmz
+V3+V8HAy5OwdMl45XCU8nAy+o/MnPjZTCQ/H38/96c0mTVEJDyfDxM5rNmye
+oxIeToZtth3qftirhIeTYf8Ah16unirh4WQYmtC406lglfBwvB+uF9/rrlAJ
+DyfDqrDJofFqlfBwMqzdNfW/inSV8HD8eRuv72CarRIeTobEpToGa7aqhIeT
+oceHZW0/7FEJD8f78f2323OLVMLDyTAl0iF6/1mV8HAyuN7b/aHlFZXwcPz5
+LP/O87+jEh5OhjfV6qyLVSrh4WSo6rfgSN/XKuHhZGjb7sQ55UeV8HC8XtfU
+FT38oRIeToaaq55rxzZXCw8nw1Frb8/sDmrh4Xj9ZIfpf+ypFh6Of31w8+tz
+DdXCw8kQ2udc1L6RauHhZBjvObFdiwlq4eH4fGxqtNPHUi08nAz3jruMx3lq
+4eFk6NV5/fVezmrh4WR43arUN9FHLTycDJstnze6F6YWHk4G++y63cYJauHh
+ZPBw6eGSpVULD8fnwTe1HstUCw8nw7VpIe9nblALDydD10bGlTvz1MLDyVAw
+b3JV4wNq4eFkuG+i+9PjmFp4OBliuk81P4tq4eF4PVgl5fYsUwsPx/svK2l4
+QoVaeDgZUvN61VQ8VQsPJ8OM29ZlJrVq4eFkCMvu82p1nVp4OBla9N837sNv
+tfBwMmR0GnZ5XqtU4eFkuNj067qDuqnCw/HPP1O5V6d3qvBwMhhlzmweOjhV
+eDgZAtf/OVRmnCo8HD/fX34FwyalCg/H6++tW5PMGanCw/H+evziCLNJFR6O
+18eSHlfmuqUKDyeD/wpzi0L/VOHhZBidcGBwx6hU4eFkKMqoTY1JThUejs+/
+IznW9xanCg/Hz1e7aMv4VanCw8mwsm922JacVOHhZNBxflTaaGeq8HAyROxe
+U+hfmCo8nAxW83salZ9MFR6O16vqx0zjklTh4WTokPK2+cYbqcLD8XlSdSH8
+74NU4eFk+FC6Zmngi1Th4WTYOn2N0205VXg4GR5vH/J2wrdU4eFk0Pg19L3b
+SCM8HO9HX9cjLVtohIeT4UX+hKJ/dDTCw8nwu/vhfoqOGuHhZLjeu67Jga4a
+4eFkGOZqv/CFnkZ4OBkGbJ46Rq+fRng4Ps9K5qywG6gRHo7v6/M9QjKHaYSH
+4/N4WeLdS6M0wsPJ0NDXqezPGI3wcHz/nypxnDBRIzwc33dlH5UK0AgPx/ex
+udnUw9M0wsPJULit3UF5tkZ4OJ5/UnqfH2qtER6O7/MtoxcH2muEh5Ph34RJ
+f3a5aISHk+H8Zu8xrzw0wsPJMHP8uxED/TTCw8kQcMj1vX+wRng4Pv/+cUjd
+E6ERHk6GgUdOva6N1QgPJ0PzaRuHGyVphIeT4U7IWIdotUZ4OD5fXnYMPb5I
+IzycDO1Lnih+pWuEh5Oh9easZMssjfBwMqwus1ucma0RHk6Gf57mbKrYqBEe
+js/nzt0u99mmER5Ohjl/znUIydcIDyfDltkVmuN7NcLDyeC8u9qgWaFGeDje
+Dw/P/rU7ohEeToYf9Wv755/UCA8nw+SS52u/FGuEh5Mh10bjMbNEIzycDJ/O
+bF+1+apGeDg+T0c8NP50QyM8HN/PrfrYzvpPIzycDO7et7/nVWqEh+O/70Dx
++J9PNMLD8b93eGAvpxqN8HC8/25j4dG3GuHhZBiz7nzjLu81wsPxflv3zCCu
+TiM8nAzhJxb2r2zQCA/H53eVTrt//miEh+Pzpdr2a35TrfBwMvQdMfZ929Za
+4eH4z+/2b5HYXis8HJ9fEybZvuqsFR6O/76XN57b99QKDyeDTcDH8st9tMLD
+8Ty+frqhuaFWeDheryEzGhUN1QoPx/v3xvz44aO0wsPxfp25f+ueMVrh4Xi+
+X7E9a9BErfBwMhTrZvjsBa3wcDL0OXHb1Gi6Vng4fl/Y2KXPsTla4eFkODh+
+1OQpNlrh4Xh/d5hXdNNBKzwcP6/9jTd5uWmFh+P9rvbo9tVLKzwc75+DOnNW
+BWiFh5Ph9iUflxFhWuHhZKiVMkNuRGuFh5PBJHHrrpgErfBwMoyNOzdGX6UV
+Hk6GbNO508rStMLD8c/r17SpKl0rPBzfTx2NdozJ0goPJ0Pcu1sOn7K1wsPJ
+EJz+2v5IjlZ4OBmiPm16mJyrFR6O56H09P6zdmmFh5Ph/dlmEb0OaIWHk+Hz
+wchm9Ye1wsPJ4HVg5ch7x7XCw/H5+kmaePasVng4/v0v56j2X9QKD8f79aCh
+dd5VrfBwMqxvNKrjtpta4eFkmJD3e9DOCq3wcDLMH3yk8ZFHWuHheH1tLetW
+Xq0VHk4Gl6Jfr+TXWuHhZLiZMP17j3da4eF4nnfu+Nq6Tis8HP+8/mvmr/2u
+FR6Oz9ds+5rqv1rh4Xh9bWrnP6lFmvBw/L6289juXW3ThIfj/RLWcnXvzmnC
+w/H8kxPRb1fPNOHhZOj+bXHMP/3ShIfj+WAznH8zKE14OF7P4xoCdxmlCQ/H
+89naFZ8TxqQJDyeDaa/net7macLD8f38zeiBz9Q04eH4fWh5vl/q7DTh4fj+
+3DzU8ZRNmvBwPA/1nruns3Oa8HA8D6ZXV6zxTBMeTobly/b8HheYJjwcr4dq
+u/Y6kWnCw/H83nHMn44JacLD8ftV7S9D29Q04eH4POy06ETFsjTh4WTQrd2/
+aM/qNOHheP4qWt79YU6a8HD875dn7FPnpwkPx/NecmD88YI04eH4fE+4Nanw
+ZJrwcPz97WmY979LacLD8fvMsLy28+6mCQ/Hz2/vmi93XqQJDyfDyyfGvz1+
+peH/AZQkhdw=
+ "]]}, {
+ Hue[0.1421359549995791, 0.6, 0.6],
+ Directive[
+ PointSize[
+ NCache[
+ Rational[1, 360], 0.002777777777777778]],
+ AbsoluteThickness[1.6],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ Dashing[{Small, Small}]],
+ LineBox[CompressedData["
+1:eJws2nVYFVsXB2C7sLFbFMUWE/NnYiuSCijd3Q2nUGwUu1CvLXZiYKOigt0J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+ "]]}, {
+ Hue[0.37820393249936934`, 0.6, 0.6],
+ Directive[
+ PointSize[
+ NCache[
+ Rational[1, 360], 0.002777777777777778]],
+ AbsoluteThickness[1.6],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ Dashing[{Small, Small}]],
+ LineBox[CompressedData["
+1:eJws2mVcFd0WB2C7E7teAwUTO1H/otgtSIl0N4fuE2J3oihgC3YjdmCL3Y16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+ "]]}, {
Hue[0.6142719099991583, 0.6, 0.6],
Directive[
PointSize[
@@ -2274285,9 +2278121,9 @@ KjVVB4e84QR6OJVJg+s29XQEPZzKd/O/aCp1AD2c+X8WtwyfaQ/5HwzpL1Y=
Part[#, 1]],
Identity[
Part[#, 2]]}& )}},
- PlotRange -> {{0., 1.}, {0, 0.04638206711017619}}, PlotRangeClipping ->
- True, PlotRangePadding -> {{0, 0}, {
- Scaled[0.02],
+ PlotRange -> {{0., 1.}, {-0.01148260089162944, 0.04638206711017619}},
+ PlotRangeClipping -> True, PlotRangePadding -> {{0, 0}, {
+ Scaled[0.05],
Scaled[0.05]}}, Prolog -> {
LineBox[
NCache[{{0.4,
@@ -2274534,7 +2278370,6 @@ Italic\\\"], \\\"0\\\"]\\)\"", {
RowBox[{"PointSize", "[",
FractionBox["1", "360"], "]"}], ",",
RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
-
TemplateBox[<|
"color" -> RGBColor[0.922526, 0.385626, 0.209179]|>,
"RGBColorSwatchTemplate"]}], "]"}]}], "}"}], ",",
@@ -2274600,9 +2278435,10 @@ Italic\\\"], \\\"0\\\"]\\)\""}], ",",
3.8950586111510973`*^9, {3.895058655101906*^9, 3.895058761842772*^9}, {
3.8952910424507523`*^9, 3.895291059801652*^9}, {3.89529109255949*^9,
3.895291097731103*^9}, 3.895291167277657*^9, 3.895307580165947*^9, {
- 3.895307628386601*^9, 3.8953076496324263`*^9}, 3.89530768785822*^9},
+ 3.895307628386601*^9, 3.8953076496324263`*^9}, 3.89530768785822*^9,
+ 3.895308223602112*^9, {3.895308306798265*^9, 3.8953083121531363`*^9}},
CellLabel->
- "Out[370]=",ExpressionUUID->"71e5cce1-e76a-4a6a-84d9-bb8c61f5d9e9"]
+ "Out[374]=",ExpressionUUID->"9432b283-368b-41e6-9d98-43a25b719eb4"]
}, Open ]],
Cell[CellGroupData[{
@@ -2280320,497 +2284156,492 @@ Cell[86676256, 1699512, 2618979, 51025, 141, "Output",ExpressionUUID->"2fd23f9f-
}, Open ]],
Cell[89295250, 1750540, 320, 8, 24, "Input",ExpressionUUID->"013a2551-6a99-4658-b5a0-822a24762cb1"],
Cell[CellGroupData[{
-Cell[89295595, 1750552, 1017, 29, 24, "Input",ExpressionUUID->"a49628a1-ec9e-4e01-9e67-fe74f327bc06"],
-Cell[89296615, 1750583, 496, 10, 22, "Message",ExpressionUUID->"f3770493-a82f-47d6-827c-587f67765863"],
-Cell[89297114, 1750595, 496, 10, 22, "Message",ExpressionUUID->"9a28fe50-b3a1-4ac7-8fa5-736eabc501fb"],
-Cell[89297613, 1750607, 496, 10, 22, "Message",ExpressionUUID->"b5e1c1df-58bb-4816-9bbc-65579e27b592"],
-Cell[89298112, 1750619, 486, 10, 22, "Message",ExpressionUUID->"041c1a7f-f392-4c5d-a735-0ee9c64d7d01"],
-Cell[89298601, 1750631, 10861, 151, 127, "Message",ExpressionUUID->"2e8a9bef-af50-46c3-8e47-5b3731d3db65"],
-Cell[89309465, 1750784, 10859, 151, 127, "Message",ExpressionUUID->"0bff50d0-97f1-4c30-8093-e957cb2a1d6b"],
-Cell[89320327, 1750937, 438, 10, 22, "Message",ExpressionUUID->"11d5bbc6-3ac9-4632-ab19-567231fa4cce"],
-Cell[89320768, 1750949, 438, 10, 22, "Message",ExpressionUUID->"5b9466f9-af0c-4df7-be46-9c6869dcdffd"],
-Cell[89321209, 1750961, 440, 10, 22, "Message",ExpressionUUID->"d70ce9e6-3743-4d1e-b409-c10028d77ea8"],
-Cell[89321652, 1750973, 478, 10, 22, "Message",ExpressionUUID->"42d510ff-3d16-48dd-a2d5-db7e66844fca"],
-Cell[89322133, 1750985, 7280, 106, 141, "Message",ExpressionUUID->"47f50ddb-2ff1-4f2c-8560-1a7bcdd41196"],
-Cell[89329416, 1751093, 29374, 721, 168, "Output",ExpressionUUID->"9258e238-f023-4b37-8e8f-3fbc224e3b96"]
+Cell[89295595, 1750552, 787, 21, 24, "Input",ExpressionUUID->"a49628a1-ec9e-4e01-9e67-fe74f327bc06"],
+Cell[89296385, 1750575, 141797, 2490, 188, "Output",ExpressionUUID->"d0822c71-d7a0-4da0-8049-e4c116288585"]
+}, Open ]],
+Cell[CellGroupData[{
+Cell[89438219, 1753070, 736, 21, 24, "Input",ExpressionUUID->"fb59e5f1-cfa5-4c00-8662-30cb5353b8ec"],
+Cell[89438958, 1753093, 134932, 2313, 190, "Output",ExpressionUUID->"195acfc0-bce4-4920-8d17-c5e631d83bad"]
}, Open ]],
Cell[CellGroupData[{
-Cell[89358827, 1751819, 736, 21, 24, "Input",ExpressionUUID->"fb59e5f1-cfa5-4c00-8662-30cb5353b8ec"],
-Cell[89359566, 1751842, 134932, 2313, 190, "Output",ExpressionUUID->"195acfc0-bce4-4920-8d17-c5e631d83bad"]
+Cell[89573927, 1755411, 1350, 36, 25, "Input",ExpressionUUID->"e73f8d3e-a80d-487f-bddb-2528f913b30e"],
+Cell[89575280, 1755449, 149753, 2575, 177, "Output",ExpressionUUID->"0c487a8b-2667-4ae2-945c-5cf7fe7d7ba6"]
}, Open ]],
+Cell[89725048, 1758027, 131, 3, 22, "Input",ExpressionUUID->"40b54835-fa7f-4e31-a9f5-1d3171eea097"],
Cell[CellGroupData[{
-Cell[89494535, 1754160, 1350, 36, 25, "Input",ExpressionUUID->"e73f8d3e-a80d-487f-bddb-2528f913b30e"],
-Cell[89495888, 1754198, 149753, 2575, 177, "Output",ExpressionUUID->"0c487a8b-2667-4ae2-945c-5cf7fe7d7ba6"]
+Cell[89725204, 1758034, 16753, 414, 130, "Input",ExpressionUUID->"d6a03029-75cb-4eac-9d3b-5f222c7b565a"],
+Cell[89741960, 1758450, 588, 13, 28, "Output",ExpressionUUID->"844a6106-065e-4739-8a59-27a81e375090"]
}, Open ]],
-Cell[89645656, 1756776, 131, 3, 22, "Input",ExpressionUUID->"40b54835-fa7f-4e31-a9f5-1d3171eea097"],
Cell[CellGroupData[{
-Cell[89645812, 1756783, 16753, 414, 130, "Input",ExpressionUUID->"d6a03029-75cb-4eac-9d3b-5f222c7b565a"],
-Cell[89662568, 1757199, 588, 13, 28, "Output",ExpressionUUID->"844a6106-065e-4739-8a59-27a81e375090"]
+Cell[89742585, 1758468, 6163, 159, 64, "Input",ExpressionUUID->"7e4f2efb-8d83-4789-9587-05d8b93e5c56"],
+Cell[89748751, 1758629, 5760, 115, 168, "Output",ExpressionUUID->"4154238d-ffef-4199-ac12-16e4c8037c5d"]
}, Open ]],
Cell[CellGroupData[{
-Cell[89663193, 1757217, 6163, 159, 64, "Input",ExpressionUUID->"7e4f2efb-8d83-4789-9587-05d8b93e5c56"],
-Cell[89669359, 1757378, 5760, 115, 168, "Output",ExpressionUUID->"4154238d-ffef-4199-ac12-16e4c8037c5d"]
+Cell[89754548, 1758749, 10486, 258, 89, "Input",ExpressionUUID->"cf561ab1-7b45-4266-85fa-1a675c934844"],
+Cell[89765037, 1759009, 224072, 3782, 174, "Output",ExpressionUUID->"a1f3abf6-87e8-4c83-aaac-31568a68eaba"]
}, Open ]],
Cell[CellGroupData[{
-Cell[89675156, 1757498, 10486, 258, 89, "Input",ExpressionUUID->"cf561ab1-7b45-4266-85fa-1a675c934844"],
-Cell[89685645, 1757758, 224072, 3782, 174, "Output",ExpressionUUID->"a1f3abf6-87e8-4c83-aaac-31568a68eaba"]
+Cell[89989146, 1762796, 2476, 68, 45, "Input",ExpressionUUID->"0b31e72e-a7ed-44d9-a61a-67aa0a47d51a"],
+Cell[89991625, 1762866, 241761, 4073, 233, "Output",ExpressionUUID->"bc0fc08a-62f5-402d-a6db-88ef43ace37a"]
}, Open ]],
Cell[CellGroupData[{
-Cell[89909754, 1761545, 2476, 68, 45, "Input",ExpressionUUID->"0b31e72e-a7ed-44d9-a61a-67aa0a47d51a"],
-Cell[89912233, 1761615, 241761, 4073, 233, "Output",ExpressionUUID->"bc0fc08a-62f5-402d-a6db-88ef43ace37a"]
+Cell[90233423, 1766944, 574, 16, 24, "Input",ExpressionUUID->"ee6202b9-8a7c-448b-9316-46fbf7063ffd"],
+Cell[90234000, 1766962, 287, 7, 39, "Output",ExpressionUUID->"2789105e-55ed-4b3a-a5a3-3307d251c67d"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90154031, 1765693, 574, 16, 24, "Input",ExpressionUUID->"ee6202b9-8a7c-448b-9316-46fbf7063ffd"],
-Cell[90154608, 1765711, 287, 7, 39, "Output",ExpressionUUID->"2789105e-55ed-4b3a-a5a3-3307d251c67d"]
+Cell[90234324, 1766974, 302, 7, 23, "Input",ExpressionUUID->"23fdbc24-43f8-434e-bf49-ee28e6a3f916"],
+Cell[90234629, 1766983, 233, 6, 26, "Output",ExpressionUUID->"3eb10d38-ea5c-4d4e-a675-030207411c31"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90154932, 1765723, 302, 7, 23, "Input",ExpressionUUID->"23fdbc24-43f8-434e-bf49-ee28e6a3f916"],
-Cell[90155237, 1765732, 233, 6, 26, "Output",ExpressionUUID->"3eb10d38-ea5c-4d4e-a675-030207411c31"]
+Cell[90234899, 1766994, 1792, 49, 39, "Input",ExpressionUUID->"e52f7b2a-9222-4d19-87a9-bd8a06ba3c7f"],
+Cell[90236694, 1767045, 1035, 25, 46, "Output",ExpressionUUID->"7c4434c9-3160-4976-a929-10cab43f52a0"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90155507, 1765743, 1792, 49, 39, "Input",ExpressionUUID->"e52f7b2a-9222-4d19-87a9-bd8a06ba3c7f"],
-Cell[90157302, 1765794, 1035, 25, 46, "Output",ExpressionUUID->"7c4434c9-3160-4976-a929-10cab43f52a0"]
+Cell[90237766, 1767075, 377, 9, 22, "Input",ExpressionUUID->"23b18849-7627-4331-9289-28a7ace6766b"],
+Cell[90238146, 1767086, 507, 12, 39, "Output",ExpressionUUID->"830f4ba5-c1b5-4a0f-ad4e-df32e9d51a7c"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90158374, 1765824, 377, 9, 22, "Input",ExpressionUUID->"23b18849-7627-4331-9289-28a7ace6766b"],
-Cell[90158754, 1765835, 507, 12, 39, "Output",ExpressionUUID->"830f4ba5-c1b5-4a0f-ad4e-df32e9d51a7c"]
+Cell[90238690, 1767103, 836, 25, 22, "Input",ExpressionUUID->"7a6d1479-a670-40bf-bf47-5734053cf21d"],
+Cell[90239529, 1767130, 3906, 100, 183, "Output",ExpressionUUID->"896f5b34-5c4a-4073-b39e-1608f2627908"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90159298, 1765852, 836, 25, 22, "Input",ExpressionUUID->"7a6d1479-a670-40bf-bf47-5734053cf21d"],
-Cell[90160137, 1765879, 3906, 100, 183, "Output",ExpressionUUID->"896f5b34-5c4a-4073-b39e-1608f2627908"]
+Cell[90243472, 1767235, 732, 21, 22, "Input",ExpressionUUID->"ad807e49-1012-4b98-a964-765f1ad103c3"],
+Cell[90244207, 1767258, 3647, 96, 173, "Output",ExpressionUUID->"6c37b33b-eeee-48a9-bef8-0b37e541f7a0"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90164080, 1765984, 732, 21, 22, "Input",ExpressionUUID->"ad807e49-1012-4b98-a964-765f1ad103c3"],
-Cell[90164815, 1766007, 3647, 96, 173, "Output",ExpressionUUID->"6c37b33b-eeee-48a9-bef8-0b37e541f7a0"]
+Cell[90247891, 1767359, 218, 5, 22, "Input",ExpressionUUID->"4f8355bb-5a43-4bdb-880a-49ef5dab02d9"],
+Cell[90248112, 1767366, 213, 4, 25, "Output",ExpressionUUID->"515a54f3-4a1d-4d63-b0d8-c37456be3200"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90168499, 1766108, 218, 5, 22, "Input",ExpressionUUID->"4f8355bb-5a43-4bdb-880a-49ef5dab02d9"],
-Cell[90168720, 1766115, 213, 4, 25, "Output",ExpressionUUID->"515a54f3-4a1d-4d63-b0d8-c37456be3200"]
+Cell[90248362, 1767375, 288, 7, 22, "Input",ExpressionUUID->"187bf609-a04d-41fe-9429-a716f2b9c5dc"],
+Cell[90248653, 1767384, 1442, 37, 28, "Output",ExpressionUUID->"f4fbd466-0cc6-42e1-965d-6cd97d1e3726"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90168970, 1766124, 288, 7, 22, "Input",ExpressionUUID->"187bf609-a04d-41fe-9429-a716f2b9c5dc"],
-Cell[90169261, 1766133, 1442, 37, 28, "Output",ExpressionUUID->"f4fbd466-0cc6-42e1-965d-6cd97d1e3726"]
+Cell[90250132, 1767426, 1732, 46, 38, "Input",ExpressionUUID->"7458e058-7f24-4301-aad1-88eefd78138a"],
+Cell[90251867, 1767474, 4127, 104, 173, "Output",ExpressionUUID->"d22547f1-404e-4f84-ac85-e4f135eb5edd"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90170740, 1766175, 1732, 46, 38, "Input",ExpressionUUID->"7458e058-7f24-4301-aad1-88eefd78138a"],
-Cell[90172475, 1766223, 4127, 104, 173, "Output",ExpressionUUID->"d22547f1-404e-4f84-ac85-e4f135eb5edd"]
+Cell[90256031, 1767583, 1113, 28, 24, "Input",ExpressionUUID->"874f6692-45e2-4ff3-8340-fc54dc2b2958"],
+Cell[90257147, 1767613, 143514, 2512, 330, "Output",ExpressionUUID->"a664841c-db97-4a10-9258-cd0d7a690585"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90176639, 1766332, 1113, 28, 24, "Input",ExpressionUUID->"874f6692-45e2-4ff3-8340-fc54dc2b2958"],
-Cell[90177755, 1766362, 143514, 2512, 330, "Output",ExpressionUUID->"a664841c-db97-4a10-9258-cd0d7a690585"]
+Cell[90400698, 1770130, 4109, 108, 75, "Input",ExpressionUUID->"b92b500d-1ebd-4c91-b129-05d0b9f04fcb"],
+Cell[90404810, 1770240, 132872, 2436, 462, "Output",ExpressionUUID->"163c1d70-7931-4437-84eb-7585b9a0bf05"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90321306, 1768879, 4109, 108, 75, "Input",ExpressionUUID->"b92b500d-1ebd-4c91-b129-05d0b9f04fcb"],
-Cell[90325418, 1768989, 132872, 2436, 462, "Output",ExpressionUUID->"163c1d70-7931-4437-84eb-7585b9a0bf05"]
+Cell[90537719, 1772681, 2725, 67, 41, "Input",ExpressionUUID->"ad4675c5-c2b7-4435-b996-6a37c51b8039"],
+Cell[90540447, 1772750, 86357, 1477, 533, "Output",ExpressionUUID->"cc3a463c-e8bb-43c1-95b9-41b160c6b45c"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90458327, 1771430, 2725, 67, 41, "Input",ExpressionUUID->"ad4675c5-c2b7-4435-b996-6a37c51b8039"],
-Cell[90461055, 1771499, 86357, 1477, 533, "Output",ExpressionUUID->"cc3a463c-e8bb-43c1-95b9-41b160c6b45c"]
+Cell[90626841, 1774232, 435, 9, 22, "Input",ExpressionUUID->"f7c97bf7-122b-4f84-851b-29f7f39d468a"],
+Cell[90627279, 1774243, 626, 12, 22, "Message",ExpressionUUID->"2ce15055-70ff-4698-a896-83f9942fbff8"],
+Cell[90627908, 1774257, 624, 12, 22, "Message",ExpressionUUID->"1de54698-c1e1-46ed-9d39-4ddd3b88619c"],
+Cell[90628535, 1774271, 624, 12, 22, "Message",ExpressionUUID->"e396a651-860e-4e04-b914-1f0f73ccad79"],
+Cell[90629162, 1774285, 481, 10, 22, "Message",ExpressionUUID->"55bd6abf-b4c3-4c03-9ed3-46f736687716"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90547449, 1772981, 435, 9, 22, "Input",ExpressionUUID->"f7c97bf7-122b-4f84-851b-29f7f39d468a"],
-Cell[90547887, 1772992, 626, 12, 22, "Message",ExpressionUUID->"2ce15055-70ff-4698-a896-83f9942fbff8"],
-Cell[90548516, 1773006, 624, 12, 22, "Message",ExpressionUUID->"1de54698-c1e1-46ed-9d39-4ddd3b88619c"],
-Cell[90549143, 1773020, 624, 12, 22, "Message",ExpressionUUID->"e396a651-860e-4e04-b914-1f0f73ccad79"],
-Cell[90549770, 1773034, 481, 10, 22, "Message",ExpressionUUID->"55bd6abf-b4c3-4c03-9ed3-46f736687716"]
+Cell[90629680, 1774300, 275, 6, 22, "Input",ExpressionUUID->"53708ee9-e3b3-4abe-b1e4-d7539c8a445b"],
+Cell[90629958, 1774308, 205, 4, 25, "Output",ExpressionUUID->"bb19cb05-3b47-42d1-8f59-bae55d48215e"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90550288, 1773049, 275, 6, 22, "Input",ExpressionUUID->"53708ee9-e3b3-4abe-b1e4-d7539c8a445b"],
-Cell[90550566, 1773057, 205, 4, 25, "Output",ExpressionUUID->"bb19cb05-3b47-42d1-8f59-bae55d48215e"]
+Cell[90630200, 1774317, 236, 5, 22, "Input",ExpressionUUID->"1530fc6d-2cb2-47fc-9d13-dfb2416823a3"],
+Cell[90630439, 1774324, 155, 3, 25, "Output",ExpressionUUID->"16b22825-b5fa-4523-9dce-7f0759f14e76"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90550808, 1773066, 236, 5, 22, "Input",ExpressionUUID->"1530fc6d-2cb2-47fc-9d13-dfb2416823a3"],
-Cell[90551047, 1773073, 155, 3, 25, "Output",ExpressionUUID->"16b22825-b5fa-4523-9dce-7f0759f14e76"]
+Cell[90630631, 1774332, 1005, 28, 38, "Input",ExpressionUUID->"6b12895e-f366-49d0-9a24-06272fe5a936"],
+Cell[90631639, 1774362, 326626, 5493, 175, "Output",ExpressionUUID->"1a44a10c-43e8-4a91-bfec-eb929e59a027"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90551239, 1773081, 1005, 28, 38, "Input",ExpressionUUID->"6b12895e-f366-49d0-9a24-06272fe5a936"],
-Cell[90552247, 1773111, 326626, 5493, 175, "Output",ExpressionUUID->"1a44a10c-43e8-4a91-bfec-eb929e59a027"]
+Cell[90958302, 1779860, 414, 11, 36, "Input",ExpressionUUID->"fbbc3d11-695a-490a-bfc7-ff83ecf02f0e"],
+Cell[90958719, 1779873, 661, 13, 25, "Output",ExpressionUUID->"4287a4b8-8bb7-4f4f-b967-386a3297ee2d"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90878910, 1778609, 414, 11, 36, "Input",ExpressionUUID->"fbbc3d11-695a-490a-bfc7-ff83ecf02f0e"],
-Cell[90879327, 1778622, 661, 13, 25, "Output",ExpressionUUID->"4287a4b8-8bb7-4f4f-b967-386a3297ee2d"]
+Cell[90959417, 1779891, 2100, 56, 75, "Input",ExpressionUUID->"ef0db882-3316-4450-9629-d28d81cae6ab"],
+Cell[90961520, 1779949, 231923, 4059, 513, "Output",ExpressionUUID->"b272d191-10eb-4c25-bb24-98964a59f269"]
}, Open ]],
Cell[CellGroupData[{
-Cell[90880025, 1778640, 2100, 56, 75, "Input",ExpressionUUID->"ef0db882-3316-4450-9629-d28d81cae6ab"],
-Cell[90882128, 1778698, 231923, 4059, 513, "Output",ExpressionUUID->"b272d191-10eb-4c25-bb24-98964a59f269"]
+Cell[91193480, 1784013, 3747, 96, 41, "Input",ExpressionUUID->"ee3bcce5-ef58-4944-b045-c48891ecdf18"],
+Cell[91197230, 1784111, 47423, 922, 511, "Output",ExpressionUUID->"c15b37e9-c6de-4ab0-ab52-777cc1964159"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91114088, 1782762, 3747, 96, 41, "Input",ExpressionUUID->"ee3bcce5-ef58-4944-b045-c48891ecdf18"],
-Cell[91117838, 1782860, 47423, 922, 511, "Output",ExpressionUUID->"c15b37e9-c6de-4ab0-ab52-777cc1964159"]
+Cell[91244690, 1785038, 180, 3, 22, "Input",ExpressionUUID->"3febf29a-63e3-4c14-8719-1e910d73a665"],
+Cell[91244873, 1785043, 544, 17, 46, "Output",ExpressionUUID->"fdd86353-7f10-470d-a4e8-20c73292e8cb"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91165298, 1783787, 180, 3, 22, "Input",ExpressionUUID->"3febf29a-63e3-4c14-8719-1e910d73a665"],
-Cell[91165481, 1783792, 544, 17, 46, "Output",ExpressionUUID->"fdd86353-7f10-470d-a4e8-20c73292e8cb"]
+Cell[91245454, 1785065, 3266, 84, 59, "Input",ExpressionUUID->"fbff4297-1de1-492b-b261-3df00469f9ee"],
+Cell[91248723, 1785151, 95130, 1615, 538, "Output",ExpressionUUID->"d41c5801-f49b-428e-900d-2e51d7bd10ee"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91166062, 1783814, 3266, 84, 59, "Input",ExpressionUUID->"fbff4297-1de1-492b-b261-3df00469f9ee"],
-Cell[91169331, 1783900, 95130, 1615, 538, "Output",ExpressionUUID->"d41c5801-f49b-428e-900d-2e51d7bd10ee"]
+Cell[91343890, 1786771, 269, 6, 22, "Input",ExpressionUUID->"d366c931-24d8-4457-b95a-9ddf8523a06d"],
+Cell[91344162, 1786779, 1247, 25, 25, "Output",ExpressionUUID->"129cb727-51b4-483c-b8a7-222579602e62"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91264498, 1785520, 269, 6, 22, "Input",ExpressionUUID->"d366c931-24d8-4457-b95a-9ddf8523a06d"],
-Cell[91264770, 1785528, 1247, 25, 25, "Output",ExpressionUUID->"129cb727-51b4-483c-b8a7-222579602e62"]
+Cell[91345446, 1786809, 1491, 35, 24, "Input",ExpressionUUID->"5c3a69af-b128-4b21-8b1f-650b0f6053ba"],
+Cell[91346940, 1786846, 64034, 1124, 527, "Output",ExpressionUUID->"4a5d003c-336a-44ae-8547-7233a7e7eb11"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91266054, 1785558, 1491, 35, 24, "Input",ExpressionUUID->"5c3a69af-b128-4b21-8b1f-650b0f6053ba"],
-Cell[91267548, 1785595, 64034, 1124, 527, "Output",ExpressionUUID->"4a5d003c-336a-44ae-8547-7233a7e7eb11"]
+Cell[91411011, 1787975, 1902, 48, 24, "Input",ExpressionUUID->"0dbf4858-9772-4e71-95fc-2e0c6557395c"],
+Cell[91412916, 1788025, 106654, 1916, 527, "Output",ExpressionUUID->"087999bc-4d2f-4fb8-b910-5282cd59b5f4"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91331619, 1786724, 1902, 48, 24, "Input",ExpressionUUID->"0dbf4858-9772-4e71-95fc-2e0c6557395c"],
-Cell[91333524, 1786774, 106654, 1916, 527, "Output",ExpressionUUID->"087999bc-4d2f-4fb8-b910-5282cd59b5f4"]
+Cell[91519607, 1789946, 1267, 32, 24, "Input",ExpressionUUID->"20ed5ed8-edfa-483a-9614-badc8bd45535"],
+Cell[91520877, 1789980, 155359, 2824, 529, "Output",ExpressionUUID->"ea66fd33-d984-4e20-8f81-9d153096c7ec"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91440215, 1788695, 1267, 32, 24, "Input",ExpressionUUID->"20ed5ed8-edfa-483a-9614-badc8bd45535"],
-Cell[91441485, 1788729, 155359, 2824, 529, "Output",ExpressionUUID->"ea66fd33-d984-4e20-8f81-9d153096c7ec"]
+Cell[91676273, 1792809, 518, 14, 24, "Input",ExpressionUUID->"493df7b9-4163-4054-be24-77b05f12e28f"],
+Cell[91676794, 1792825, 129539, 2212, 179, "Output",ExpressionUUID->"879ad139-7253-40bb-97c6-94e3e63f957b"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91596881, 1791558, 518, 14, 24, "Input",ExpressionUUID->"493df7b9-4163-4054-be24-77b05f12e28f"],
-Cell[91597402, 1791574, 129539, 2212, 179, "Output",ExpressionUUID->"879ad139-7253-40bb-97c6-94e3e63f957b"]
+Cell[91806370, 1795042, 377, 12, 24, "Input",ExpressionUUID->"1f496f5e-75b4-41f5-9279-2f776bb203df"],
+Cell[91806750, 1795056, 1190, 39, 66, "Output",ExpressionUUID->"6b65d14b-30b4-41ee-b51f-459cb4aaff9d"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91726978, 1793791, 377, 12, 24, "Input",ExpressionUUID->"1f496f5e-75b4-41f5-9279-2f776bb203df"],
-Cell[91727358, 1793805, 1190, 39, 66, "Output",ExpressionUUID->"6b65d14b-30b4-41ee-b51f-459cb4aaff9d"]
+Cell[91807977, 1795100, 580, 17, 24, "Input",ExpressionUUID->"b0728b47-71fb-4ee6-abc4-08cddf8c2a94"],
+Cell[91808560, 1795119, 356, 10, 25, "Output",ExpressionUUID->"e3626bd8-87f7-48ac-8333-4a30528b8a11"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91728585, 1793849, 580, 17, 24, "Input",ExpressionUUID->"b0728b47-71fb-4ee6-abc4-08cddf8c2a94"],
-Cell[91729168, 1793868, 356, 10, 25, "Output",ExpressionUUID->"e3626bd8-87f7-48ac-8333-4a30528b8a11"]
+Cell[91808953, 1795134, 332, 7, 22, "Input",ExpressionUUID->"86339dd3-1530-497c-87b0-f618ca7274d7"],
+Cell[91809288, 1795143, 427, 11, 25, "Output",ExpressionUUID->"d418937d-dca0-4f90-abb8-b3620489e781"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91729561, 1793883, 332, 7, 22, "Input",ExpressionUUID->"86339dd3-1530-497c-87b0-f618ca7274d7"],
-Cell[91729896, 1793892, 427, 11, 25, "Output",ExpressionUUID->"d418937d-dca0-4f90-abb8-b3620489e781"]
+Cell[91809752, 1795159, 229, 5, 23, "Input",ExpressionUUID->"59d7ab85-dd7e-4a57-9a89-06d815c29615"],
+Cell[91809984, 1795166, 190, 4, 25, "Output",ExpressionUUID->"5fe0e08c-0465-4cf7-8fea-e0672d8aeb87"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91730360, 1793908, 229, 5, 23, "Input",ExpressionUUID->"59d7ab85-dd7e-4a57-9a89-06d815c29615"],
-Cell[91730592, 1793915, 190, 4, 25, "Output",ExpressionUUID->"5fe0e08c-0465-4cf7-8fea-e0672d8aeb87"]
+Cell[91810211, 1795175, 382, 11, 22, "Input",ExpressionUUID->"f0d340bf-abaa-4697-bf89-dcd6fd55bbfb"],
+Cell[91810596, 1795188, 236, 4, 25, "Output",ExpressionUUID->"91bf2c00-cdde-4631-91f2-ce79edfea2f2"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91730819, 1793924, 382, 11, 22, "Input",ExpressionUUID->"f0d340bf-abaa-4697-bf89-dcd6fd55bbfb"],
-Cell[91731204, 1793937, 236, 4, 25, "Output",ExpressionUUID->"91bf2c00-cdde-4631-91f2-ce79edfea2f2"]
+Cell[91810869, 1795197, 463, 13, 24, "Input",ExpressionUUID->"b4027182-3309-456c-842b-17ceb7ed1cbb"],
+Cell[91811335, 1795212, 4593, 94, 177, "Output",ExpressionUUID->"75ecf437-2ee0-4af4-a222-3c0bdc374ccb"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91731477, 1793946, 463, 13, 24, "Input",ExpressionUUID->"b4027182-3309-456c-842b-17ceb7ed1cbb"],
-Cell[91731943, 1793961, 4593, 94, 177, "Output",ExpressionUUID->"75ecf437-2ee0-4af4-a222-3c0bdc374ccb"]
+Cell[91815965, 1795311, 587, 17, 41, "Input",ExpressionUUID->"febefaab-02c8-497d-a0e1-f24da8ee9f20"],
+Cell[91816555, 1795330, 303, 8, 25, "Output",ExpressionUUID->"61db8982-da87-4f2d-9622-9c242c4f07d0"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91736573, 1794060, 587, 17, 41, "Input",ExpressionUUID->"febefaab-02c8-497d-a0e1-f24da8ee9f20"],
-Cell[91737163, 1794079, 303, 8, 25, "Output",ExpressionUUID->"61db8982-da87-4f2d-9622-9c242c4f07d0"]
+Cell[91816895, 1795343, 371, 11, 43, "Input",ExpressionUUID->"2120de66-ed73-49bc-8884-9feb1f89d448"],
+Cell[91817269, 1795356, 256, 4, 25, "Output",ExpressionUUID->"784cc4b4-ed24-466f-b492-1bd2ead379e3"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91737503, 1794092, 371, 11, 43, "Input",ExpressionUUID->"2120de66-ed73-49bc-8884-9feb1f89d448"],
-Cell[91737877, 1794105, 256, 4, 25, "Output",ExpressionUUID->"784cc4b4-ed24-466f-b492-1bd2ead379e3"]
+Cell[91817562, 1795365, 587, 17, 41, "Input",ExpressionUUID->"d0326186-ada4-4298-b5a1-29420b2cc357"],
+Cell[91818152, 1795384, 277, 8, 25, "Output",ExpressionUUID->"ee1fba01-d3c4-487d-bacd-2075a94234b9"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91738170, 1794114, 587, 17, 41, "Input",ExpressionUUID->"d0326186-ada4-4298-b5a1-29420b2cc357"],
-Cell[91738760, 1794133, 277, 8, 25, "Output",ExpressionUUID->"ee1fba01-d3c4-487d-bacd-2075a94234b9"]
+Cell[91818466, 1795397, 371, 11, 43, "Input",ExpressionUUID->"7d427747-a771-4b35-9bfc-d7f27900e30a"],
+Cell[91818840, 1795410, 232, 4, 25, "Output",ExpressionUUID->"e356d59e-b2c3-4ec3-81dd-5e51b4b40258"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91739074, 1794146, 371, 11, 43, "Input",ExpressionUUID->"7d427747-a771-4b35-9bfc-d7f27900e30a"],
-Cell[91739448, 1794159, 232, 4, 25, "Output",ExpressionUUID->"e356d59e-b2c3-4ec3-81dd-5e51b4b40258"]
+Cell[91819109, 1795419, 867, 22, 24, "Input",ExpressionUUID->"94956503-f8e2-4edd-b04f-afb9b114960c"],
+Cell[91819979, 1795443, 17836, 349, 169, "Output",ExpressionUUID->"ed68bc58-aa32-44a9-b3c1-535409e1db6f"]
}, Open ]],
+Cell[91837830, 1795795, 338, 9, 24, "Input",ExpressionUUID->"8bd0ca8c-ce8d-4006-83d9-312c8cb8abf2"],
Cell[CellGroupData[{
-Cell[91739717, 1794168, 867, 22, 24, "Input",ExpressionUUID->"94956503-f8e2-4edd-b04f-afb9b114960c"],
-Cell[91740587, 1794192, 17836, 349, 169, "Output",ExpressionUUID->"ed68bc58-aa32-44a9-b3c1-535409e1db6f"]
+Cell[91838193, 1795808, 740, 20, 25, "Input",ExpressionUUID->"0135fda5-6eff-46a8-bb95-452a45acdcaf"],
+Cell[91838936, 1795830, 72379, 1199, 37, "Output",ExpressionUUID->"9d37527d-1c49-49c2-9a6f-68341a7c9b18"]
}, Open ]],
-Cell[91758438, 1794544, 338, 9, 24, "Input",ExpressionUUID->"8bd0ca8c-ce8d-4006-83d9-312c8cb8abf2"],
Cell[CellGroupData[{
-Cell[91758801, 1794557, 740, 20, 25, "Input",ExpressionUUID->"0135fda5-6eff-46a8-bb95-452a45acdcaf"],
-Cell[91759544, 1794579, 72379, 1199, 37, "Output",ExpressionUUID->"9d37527d-1c49-49c2-9a6f-68341a7c9b18"]
+Cell[91911352, 1797034, 594, 17, 25, "Input",ExpressionUUID->"7fb2ba34-ff92-4db3-8c3d-7ef1635a52c8"],
+Cell[91911949, 1797053, 51948, 864, 50, "Output",ExpressionUUID->"208b6ddc-eead-4d5f-a18c-4f393b63e706"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91831960, 1795783, 594, 17, 25, "Input",ExpressionUUID->"7fb2ba34-ff92-4db3-8c3d-7ef1635a52c8"],
-Cell[91832557, 1795802, 51948, 864, 50, "Output",ExpressionUUID->"208b6ddc-eead-4d5f-a18c-4f393b63e706"]
+Cell[91963934, 1797922, 809, 23, 75, "Input",ExpressionUUID->"e0b81404-7754-43a3-aa99-f6e883a72df7"],
+Cell[91964746, 1797947, 77202, 1303, 168, "Output",ExpressionUUID->"22eff673-2173-40ec-9288-aeba0b1dbea1"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91884542, 1796671, 809, 23, 75, "Input",ExpressionUUID->"e0b81404-7754-43a3-aa99-f6e883a72df7"],
-Cell[91885354, 1796696, 77202, 1303, 168, "Output",ExpressionUUID->"22eff673-2173-40ec-9288-aeba0b1dbea1"]
+Cell[92041985, 1799255, 692, 19, 75, "Input",ExpressionUUID->"53735511-1738-4636-b42a-4b675339041c"],
+Cell[92042680, 1799276, 89086, 1549, 171, "Output",ExpressionUUID->"5f186b74-01fe-4edd-ad21-41fe5c9f712b"]
}, Open ]],
Cell[CellGroupData[{
-Cell[91962593, 1798004, 692, 19, 75, "Input",ExpressionUUID->"53735511-1738-4636-b42a-4b675339041c"],
-Cell[91963288, 1798025, 89086, 1549, 171, "Output",ExpressionUUID->"5f186b74-01fe-4edd-ad21-41fe5c9f712b"]
+Cell[92131803, 1800830, 211, 4, 22, "Input",ExpressionUUID->"5eade6d2-5951-4717-9021-ab5007c89efd"],
+Cell[92132017, 1800836, 317, 7, 25, "Output",ExpressionUUID->"3e937820-9017-4dce-87c4-bc6aefc8c314"]
}, Open ]],
Cell[CellGroupData[{
-Cell[92052411, 1799579, 211, 4, 22, "Input",ExpressionUUID->"5eade6d2-5951-4717-9021-ab5007c89efd"],
-Cell[92052625, 1799585, 317, 7, 25, "Output",ExpressionUUID->"3e937820-9017-4dce-87c4-bc6aefc8c314"]
+Cell[92132371, 1800848, 257, 5, 22, "Input",ExpressionUUID->"f4a7b063-7155-4fd4-be0c-794f7b82ca0c"],
+Cell[92132631, 1800855, 436, 12, 25, "Output",ExpressionUUID->"faefe86f-7ec7-4287-a47e-f2880ecff056"]
}, Open ]],
+Cell[92133082, 1800870, 533, 14, 22, "Input",ExpressionUUID->"9aad6644-292d-4460-ad70-54f2e2d2bfce"],
Cell[CellGroupData[{
-Cell[92052979, 1799597, 257, 5, 22, "Input",ExpressionUUID->"f4a7b063-7155-4fd4-be0c-794f7b82ca0c"],
-Cell[92053239, 1799604, 436, 12, 25, "Output",ExpressionUUID->"faefe86f-7ec7-4287-a47e-f2880ecff056"]
+Cell[92133640, 1800888, 211, 4, 22, "Input",ExpressionUUID->"b228e4ad-e2ab-434c-a274-240471f73378"],
+Cell[92133854, 1800894, 346, 9, 25, "Output",ExpressionUUID->"1f2295aa-f9e6-4c91-b8f1-8df50e790057"]
}, Open ]],
-Cell[92053690, 1799619, 533, 14, 22, "Input",ExpressionUUID->"9aad6644-292d-4460-ad70-54f2e2d2bfce"],
+Cell[92134215, 1800906, 154, 3, 22, "Input",ExpressionUUID->"c1b57198-d573-4503-a72a-4da32ac91ea5"],
Cell[CellGroupData[{
-Cell[92054248, 1799637, 211, 4, 22, "Input",ExpressionUUID->"b228e4ad-e2ab-434c-a274-240471f73378"],
-Cell[92054462, 1799643, 346, 9, 25, "Output",ExpressionUUID->"1f2295aa-f9e6-4c91-b8f1-8df50e790057"]
+Cell[92134394, 1800913, 621, 18, 22, "Input",ExpressionUUID->"8a11a5cc-df01-4465-a5d3-dd1d67f738bb"],
+Cell[92135018, 1800933, 266, 6, 25, "Output",ExpressionUUID->"c2a50622-69ff-43ef-bd78-6fccbca370bb"]
}, Open ]],
-Cell[92054823, 1799655, 154, 3, 22, "Input",ExpressionUUID->"c1b57198-d573-4503-a72a-4da32ac91ea5"],
Cell[CellGroupData[{
-Cell[92055002, 1799662, 621, 18, 22, "Input",ExpressionUUID->"8a11a5cc-df01-4465-a5d3-dd1d67f738bb"],
-Cell[92055626, 1799682, 266, 6, 25, "Output",ExpressionUUID->"c2a50622-69ff-43ef-bd78-6fccbca370bb"]
+Cell[92135321, 1800944, 1249, 25, 24, "Input",ExpressionUUID->"d3d7154c-e997-42f1-b58a-46e3ea8e93fe"],
+Cell[92136573, 1800971, 611, 12, 22, "Message",ExpressionUUID->"c8d908a9-8ae9-4271-9db7-1eea00bcead1"],
+Cell[92137187, 1800985, 611, 12, 22, "Message",ExpressionUUID->"52ce8f71-0ac2-4268-a9c6-540003eaf332"],
+Cell[92137801, 1800999, 436, 10, 22, "Message",ExpressionUUID->"5e99fb9d-c406-41a3-8047-e0544bb987a2"],
+Cell[92138240, 1801011, 439, 10, 22, "Message",ExpressionUUID->"96b20d2d-17e0-4cec-bddb-7e04bf9ad20b"]
}, Open ]],
Cell[CellGroupData[{
-Cell[92055929, 1799693, 1249, 25, 24, "Input",ExpressionUUID->"d3d7154c-e997-42f1-b58a-46e3ea8e93fe"],
-Cell[92057181, 1799720, 611, 12, 22, "Message",ExpressionUUID->"c8d908a9-8ae9-4271-9db7-1eea00bcead1"],
-Cell[92057795, 1799734, 611, 12, 22, "Message",ExpressionUUID->"52ce8f71-0ac2-4268-a9c6-540003eaf332"],
-Cell[92058409, 1799748, 436, 10, 22, "Message",ExpressionUUID->"5e99fb9d-c406-41a3-8047-e0544bb987a2"],
-Cell[92058848, 1799760, 439, 10, 22, "Message",ExpressionUUID->"96b20d2d-17e0-4cec-bddb-7e04bf9ad20b"]
+Cell[92138716, 1801026, 902, 20, 24, "Input",ExpressionUUID->"36095e09-e06b-479d-8a71-2523b375ad0e"],
+Cell[92139621, 1801048, 613, 12, 22, "Message",ExpressionUUID->"0a311ab7-58ae-4a85-9119-7b18fecbb5fd"],
+Cell[92140237, 1801062, 611, 12, 22, "Message",ExpressionUUID->"8b639f61-ed9b-45ed-8b19-750f5b4cdaab"],
+Cell[92140851, 1801076, 437, 10, 22, "Message",ExpressionUUID->"928ff074-aa53-4995-b06e-0214b8970cd4"],
+Cell[92141291, 1801088, 611, 12, 22, "Message",ExpressionUUID->"b8e1be61-25f1-44c0-937d-4026728c8880"],
+Cell[92141905, 1801102, 480, 10, 22, "Message",ExpressionUUID->"381d9128-8332-4a27-9616-7be81809de1d"]
}, Open ]],
Cell[CellGroupData[{
-Cell[92059324, 1799775, 902, 20, 24, "Input",ExpressionUUID->"36095e09-e06b-479d-8a71-2523b375ad0e"],
-Cell[92060229, 1799797, 613, 12, 22, "Message",ExpressionUUID->"0a311ab7-58ae-4a85-9119-7b18fecbb5fd"],
-Cell[92060845, 1799811, 611, 12, 22, "Message",ExpressionUUID->"8b639f61-ed9b-45ed-8b19-750f5b4cdaab"],
-Cell[92061459, 1799825, 437, 10, 22, "Message",ExpressionUUID->"928ff074-aa53-4995-b06e-0214b8970cd4"],
-Cell[92061899, 1799837, 611, 12, 22, "Message",ExpressionUUID->"b8e1be61-25f1-44c0-937d-4026728c8880"],
-Cell[92062513, 1799851, 480, 10, 22, "Message",ExpressionUUID->"381d9128-8332-4a27-9616-7be81809de1d"]
+Cell[92142422, 1801117, 915, 20, 24, "Input",ExpressionUUID->"b333aac3-8f0d-40f1-94c3-c60126f838a8"],
+Cell[92143340, 1801139, 611, 12, 22, "Message",ExpressionUUID->"d8d08bb0-1302-408a-a8b2-2ac7cb443ff0"],
+Cell[92143954, 1801153, 436, 10, 22, "Message",ExpressionUUID->"2c949676-f31f-44f5-8025-345c8083fe55"],
+Cell[92144393, 1801165, 436, 10, 22, "Message",ExpressionUUID->"a1a97ba5-b0ff-492c-88f3-beef382fd593"],
+Cell[92144832, 1801177, 438, 10, 22, "Message",ExpressionUUID->"dc82089c-21ed-4bb7-b87c-68cf849bb653"],
+Cell[92145273, 1801189, 482, 10, 22, "Message",ExpressionUUID->"a33b97db-3cab-4950-8cd6-bbeddb86df42"]
}, Open ]],
Cell[CellGroupData[{
-Cell[92063030, 1799866, 915, 20, 24, "Input",ExpressionUUID->"b333aac3-8f0d-40f1-94c3-c60126f838a8"],
-Cell[92063948, 1799888, 611, 12, 22, "Message",ExpressionUUID->"d8d08bb0-1302-408a-a8b2-2ac7cb443ff0"],
-Cell[92064562, 1799902, 436, 10, 22, "Message",ExpressionUUID->"2c949676-f31f-44f5-8025-345c8083fe55"],
-Cell[92065001, 1799914, 436, 10, 22, "Message",ExpressionUUID->"a1a97ba5-b0ff-492c-88f3-beef382fd593"],
-Cell[92065440, 1799926, 438, 10, 22, "Message",ExpressionUUID->"dc82089c-21ed-4bb7-b87c-68cf849bb653"],
-Cell[92065881, 1799938, 482, 10, 22, "Message",ExpressionUUID->"a33b97db-3cab-4950-8cd6-bbeddb86df42"]
+Cell[92145792, 1801204, 965, 21, 24, "Input",ExpressionUUID->"b07e5819-9a01-4728-8f16-a94c4ca31c68"],
+Cell[92146760, 1801227, 611, 12, 22, "Message",ExpressionUUID->"9bb31ff6-7fcf-4410-b4ab-c6ee3ea85b95"],
+Cell[92147374, 1801241, 611, 12, 22, "Message",ExpressionUUID->"042fe259-c2b3-4b49-9ce0-2c3e42a3130a"],
+Cell[92147988, 1801255, 436, 10, 22, "Message",ExpressionUUID->"1124a75b-c093-465d-a8a3-13037b072dc4"],
+Cell[92148427, 1801267, 438, 10, 22, "Message",ExpressionUUID->"696e2c81-dd04-4bae-9cdc-0d2ee695c23c"]
}, Open ]],
Cell[CellGroupData[{
-Cell[92066400, 1799953, 965, 21, 24, "Input",ExpressionUUID->"b07e5819-9a01-4728-8f16-a94c4ca31c68"],
-Cell[92067368, 1799976, 611, 12, 22, "Message",ExpressionUUID->"9bb31ff6-7fcf-4410-b4ab-c6ee3ea85b95"],
-Cell[92067982, 1799990, 611, 12, 22, "Message",ExpressionUUID->"042fe259-c2b3-4b49-9ce0-2c3e42a3130a"],
-Cell[92068596, 1800004, 436, 10, 22, "Message",ExpressionUUID->"1124a75b-c093-465d-a8a3-13037b072dc4"],
-Cell[92069035, 1800016, 438, 10, 22, "Message",ExpressionUUID->"696e2c81-dd04-4bae-9cdc-0d2ee695c23c"]
+Cell[92148902, 1801282, 1195, 24, 24, "Input",ExpressionUUID->"1703330e-c012-4cd5-a92f-357b94b95b5a"],
+Cell[92150100, 1801308, 437, 10, 22, "Message",ExpressionUUID->"7d0ad1ef-1f43-48cc-b7a5-0e5ae2617bd1"],
+Cell[92150540, 1801320, 435, 10, 22, "Message",ExpressionUUID->"b0e9e528-b092-498d-8115-3bae327035ef"],
+Cell[92150978, 1801332, 435, 10, 22, "Message",ExpressionUUID->"37ce0c6b-08b2-4180-aa25-bd0db3aa9090"],
+Cell[92151416, 1801344, 478, 10, 22, "Message",ExpressionUUID->"280397b1-325c-411f-8756-30e993c07916"],
+Cell[92151897, 1801356, 609, 12, 22, "Message",ExpressionUUID->"41a74619-5cd2-44c1-bdcb-b008e777d849"]
}, Open ]],
Cell[CellGroupData[{
-Cell[92069510, 1800031, 1195, 24, 24, "Input",ExpressionUUID->"1703330e-c012-4cd5-a92f-357b94b95b5a"],
-Cell[92070708, 1800057, 437, 10, 22, "Message",ExpressionUUID->"7d0ad1ef-1f43-48cc-b7a5-0e5ae2617bd1"],
-Cell[92071148, 1800069, 435, 10, 22, "Message",ExpressionUUID->"b0e9e528-b092-498d-8115-3bae327035ef"],
-Cell[92071586, 1800081, 435, 10, 22, "Message",ExpressionUUID->"37ce0c6b-08b2-4180-aa25-bd0db3aa9090"],
-Cell[92072024, 1800093, 478, 10, 22, "Message",ExpressionUUID->"280397b1-325c-411f-8756-30e993c07916"],
-Cell[92072505, 1800105, 609, 12, 22, "Message",ExpressionUUID->"41a74619-5cd2-44c1-bdcb-b008e777d849"]
+Cell[92152543, 1801373, 1156, 23, 24, "Input",ExpressionUUID->"11f32dc0-36b7-4a8e-9304-5a35c4137a76"],
+Cell[92153702, 1801398, 611, 12, 22, "Message",ExpressionUUID->"ddb488bc-2816-4e6c-be91-bff103305ff4"],
+Cell[92154316, 1801412, 611, 12, 22, "Message",ExpressionUUID->"53d50bb9-30b7-4cca-8828-844628e7141f"],
+Cell[92154930, 1801426, 611, 12, 22, "Message",ExpressionUUID->"fdab6e13-066f-4632-a231-6b7109497a37"],
+Cell[92155544, 1801440, 480, 10, 22, "Message",ExpressionUUID->"f349362e-17c1-462b-9249-6504180c4e74"]
}, Open ]],
Cell[CellGroupData[{
-Cell[92073151, 1800122, 1156, 23, 24, "Input",ExpressionUUID->"11f32dc0-36b7-4a8e-9304-5a35c4137a76"],
-Cell[92074310, 1800147, 611, 12, 22, "Message",ExpressionUUID->"ddb488bc-2816-4e6c-be91-bff103305ff4"],
-Cell[92074924, 1800161, 611, 12, 22, "Message",ExpressionUUID->"53d50bb9-30b7-4cca-8828-844628e7141f"],
-Cell[92075538, 1800175, 611, 12, 22, "Message",ExpressionUUID->"fdab6e13-066f-4632-a231-6b7109497a37"],
-Cell[92076152, 1800189, 480, 10, 22, "Message",ExpressionUUID->"f349362e-17c1-462b-9249-6504180c4e74"]
+Cell[92156061, 1801455, 636, 17, 24, "Input",ExpressionUUID->"904d7998-fab0-4a46-9635-08572911c9b3"],
+Cell[92156700, 1801474, 437, 10, 22, "Message",ExpressionUUID->"c3b93799-49de-4fbb-b247-74dd61340069"],
+Cell[92157140, 1801486, 435, 10, 22, "Message",ExpressionUUID->"7f86d734-85cc-4a2c-a789-93ea0eb24fb4"],
+Cell[92157578, 1801498, 435, 10, 22, "Message",ExpressionUUID->"9e6c2c72-6e7b-416f-b8ab-8d3ac5db2b57"],
+Cell[92158016, 1801510, 479, 10, 22, "Message",ExpressionUUID->"adcd02a1-fcb7-4370-bc4f-0fe5fb34cd0e"]
}, Open ]],
Cell[CellGroupData[{
-Cell[92076669, 1800204, 636, 17, 24, "Input",ExpressionUUID->"904d7998-fab0-4a46-9635-08572911c9b3"],
-Cell[92077308, 1800223, 437, 10, 22, "Message",ExpressionUUID->"c3b93799-49de-4fbb-b247-74dd61340069"],
-Cell[92077748, 1800235, 435, 10, 22, "Message",ExpressionUUID->"7f86d734-85cc-4a2c-a789-93ea0eb24fb4"],
-Cell[92078186, 1800247, 435, 10, 22, "Message",ExpressionUUID->"9e6c2c72-6e7b-416f-b8ab-8d3ac5db2b57"],
-Cell[92078624, 1800259, 479, 10, 22, "Message",ExpressionUUID->"adcd02a1-fcb7-4370-bc4f-0fe5fb34cd0e"]
+Cell[92158532, 1801525, 863, 20, 24, "Input",ExpressionUUID->"a10dd9ce-7856-486d-b7de-430e95fed8fa"],
+Cell[92159398, 1801547, 437, 10, 22, "Message",ExpressionUUID->"fe158311-b2c2-4bc7-9d65-95259eb7a649"],
+Cell[92159838, 1801559, 437, 10, 22, "Message",ExpressionUUID->"53558762-4b1e-4708-8bc4-c75b4b8c3deb"],
+Cell[92160278, 1801571, 437, 10, 22, "Message",ExpressionUUID->"e2df50c9-7fcb-4d7f-a16b-e177e624a9b2"],
+Cell[92160718, 1801583, 481, 10, 22, "Message",ExpressionUUID->"22437194-d67a-4f5e-9f94-3aac50910432"],
+Cell[92161202, 1801595, 614, 12, 22, "Message",ExpressionUUID->"f92e239b-c911-4a0c-adeb-14d0e9832903"]
}, Open ]],
Cell[CellGroupData[{
-Cell[92079140, 1800274, 863, 20, 24, "Input",ExpressionUUID->"a10dd9ce-7856-486d-b7de-430e95fed8fa"],
-Cell[92080006, 1800296, 437, 10, 22, "Message",ExpressionUUID->"fe158311-b2c2-4bc7-9d65-95259eb7a649"],
-Cell[92080446, 1800308, 437, 10, 22, "Message",ExpressionUUID->"53558762-4b1e-4708-8bc4-c75b4b8c3deb"],
-Cell[92080886, 1800320, 437, 10, 22, "Message",ExpressionUUID->"e2df50c9-7fcb-4d7f-a16b-e177e624a9b2"],
-Cell[92081326, 1800332, 481, 10, 22, "Message",ExpressionUUID->"22437194-d67a-4f5e-9f94-3aac50910432"],
-Cell[92081810, 1800344, 614, 12, 22, "Message",ExpressionUUID->"f92e239b-c911-4a0c-adeb-14d0e9832903"]
+Cell[92161853, 1801612, 3314, 88, 75, "Input",ExpressionUUID->"84470d71-a389-41a1-b6c8-4b1bf8b54c08"],
+Cell[92165170, 1801702, 10122152, 199275, 142, "Output",ExpressionUUID->"8a968364-efb0-4716-b763-f43681e40a8e"]
}, Open ]],
+Cell[102287337, 2000980, 364, 9, 24, "Input",ExpressionUUID->"86fcdab1-061c-4d85-ae6d-e5b6d09b87ba"],
Cell[CellGroupData[{
-Cell[92082461, 1800361, 3314, 88, 75, "Input",ExpressionUUID->"84470d71-a389-41a1-b6c8-4b1bf8b54c08"],
-Cell[92085778, 1800451, 10122152, 199275, 142, "Output",ExpressionUUID->"8a968364-efb0-4716-b763-f43681e40a8e"]
+Cell[102287726, 2000993, 3308, 85, 59, "Input",ExpressionUUID->"3ce0d8db-05bd-42cd-a9c3-9652f8bd1c8a"],
+Cell[102291037, 2001080, 11088334, 225208, 141, "Output",ExpressionUUID->"6d09e248-1716-4801-ae1a-de04dc7da063"]
}, Open ]],
-Cell[102207945, 1999729, 364, 9, 24, "Input",ExpressionUUID->"86fcdab1-061c-4d85-ae6d-e5b6d09b87ba"],
+Cell[113379386, 2226291, 373, 9, 24, "Input",ExpressionUUID->"d7a1d81c-928c-4c7c-af6e-10d8e5a773eb"],
+Cell[113379762, 2226302, 349, 8, 22, "Input",ExpressionUUID->"8670f5c4-1dfe-4455-9384-8b73074bd36d"],
+Cell[113380114, 2226312, 9190, 215, 92, "Input",ExpressionUUID->"dd893da6-cdc9-4068-b7d9-228d2edfd48a"],
+Cell[113389307, 2226529, 1718, 47, 59, "Input",ExpressionUUID->"0e5ae48a-b827-4dbc-a4b8-c7c40ae0c45d"],
Cell[CellGroupData[{
-Cell[102208334, 1999742, 3308, 85, 59, "Input",ExpressionUUID->"3ce0d8db-05bd-42cd-a9c3-9652f8bd1c8a"],
-Cell[102211645, 1999829, 11088334, 225208, 141, "Output",ExpressionUUID->"6d09e248-1716-4801-ae1a-de04dc7da063"]
+Cell[113391050, 2226580, 4561, 112, 76, "Input",ExpressionUUID->"d6b1a448-9bae-4365-a4c3-c68ad6668598"],
+Cell[113395614, 2226694, 1473717, 29278, 128, "Output",ExpressionUUID->"bcf95d04-ded0-46cd-a328-ee0ad005de4a"]
}, Open ]],
-Cell[113299994, 2225040, 373, 9, 24, "Input",ExpressionUUID->"d7a1d81c-928c-4c7c-af6e-10d8e5a773eb"],
-Cell[113300370, 2225051, 349, 8, 22, "Input",ExpressionUUID->"8670f5c4-1dfe-4455-9384-8b73074bd36d"],
-Cell[113300722, 2225061, 9190, 215, 92, "Input",ExpressionUUID->"dd893da6-cdc9-4068-b7d9-228d2edfd48a"],
-Cell[113309915, 2225278, 1718, 47, 59, "Input",ExpressionUUID->"0e5ae48a-b827-4dbc-a4b8-c7c40ae0c45d"],
+Cell[114869346, 2255975, 310, 8, 24, "Input",ExpressionUUID->"40c29f57-c3fe-4e6c-b8f8-5b218b48c5c0"],
+Cell[114869659, 2255985, 102, 0, 22, "Input",ExpressionUUID->"a3dc3bf5-1047-45d0-9361-b6ad86794073"],
Cell[CellGroupData[{
-Cell[113311658, 2225329, 4561, 112, 76, "Input",ExpressionUUID->"d6b1a448-9bae-4365-a4c3-c68ad6668598"],
-Cell[113316222, 2225443, 1473717, 29278, 128, "Output",ExpressionUUID->"bcf95d04-ded0-46cd-a328-ee0ad005de4a"]
+Cell[114869786, 2255989, 720, 18, 24, "Input",ExpressionUUID->"85ca54b1-af5b-4110-beef-eeeab5d1cc39"],
+Cell[114870509, 2256009, 90763, 1538, 168, "Output",ExpressionUUID->"6b0934f5-418f-4459-813f-8e9976231b0a"]
}, Open ]],
-Cell[114789954, 2254724, 310, 8, 24, "Input",ExpressionUUID->"40c29f57-c3fe-4e6c-b8f8-5b218b48c5c0"],
-Cell[114790267, 2254734, 102, 0, 22, "Input",ExpressionUUID->"a3dc3bf5-1047-45d0-9361-b6ad86794073"],
Cell[CellGroupData[{
-Cell[114790394, 2254738, 720, 18, 24, "Input",ExpressionUUID->"85ca54b1-af5b-4110-beef-eeeab5d1cc39"],
-Cell[114791117, 2254758, 90763, 1538, 168, "Output",ExpressionUUID->"6b0934f5-418f-4459-813f-8e9976231b0a"]
+Cell[114961309, 2257552, 452, 9, 22, "Input",ExpressionUUID->"6d262116-9e94-481e-9e8e-d62ff4dab3df"],
+Cell[114961764, 2257563, 602, 12, 22, "Message",ExpressionUUID->"78aafcf9-7dee-4ede-9cf7-68507568f000"],
+Cell[114962369, 2257577, 600, 12, 22, "Message",ExpressionUUID->"d072b291-2fd9-4276-9897-6f2ce1ad9813"],
+Cell[114962972, 2257591, 600, 12, 22, "Message",ExpressionUUID->"5cbae919-d36d-4e6c-9d9d-707ec43527d1"],
+Cell[114963575, 2257605, 456, 10, 22, "Message",ExpressionUUID->"fba9514a-45cf-4bd9-9f39-bb88dee12197"]
}, Open ]],
Cell[CellGroupData[{
-Cell[114881917, 2256301, 452, 9, 22, "Input",ExpressionUUID->"6d262116-9e94-481e-9e8e-d62ff4dab3df"],
-Cell[114882372, 2256312, 602, 12, 22, "Message",ExpressionUUID->"78aafcf9-7dee-4ede-9cf7-68507568f000"],
-Cell[114882977, 2256326, 600, 12, 22, "Message",ExpressionUUID->"d072b291-2fd9-4276-9897-6f2ce1ad9813"],
-Cell[114883580, 2256340, 600, 12, 22, "Message",ExpressionUUID->"5cbae919-d36d-4e6c-9d9d-707ec43527d1"],
-Cell[114884183, 2256354, 456, 10, 22, "Message",ExpressionUUID->"fba9514a-45cf-4bd9-9f39-bb88dee12197"]
+Cell[114964068, 2257620, 347, 8, 22, "Input",ExpressionUUID->"e5aefd64-c8d0-4c76-9c40-c955c5bf7666"],
+Cell[114964418, 2257630, 602, 12, 22, "Message",ExpressionUUID->"98d993e7-3b4d-4a10-90dc-4000c414cc4c"],
+Cell[114965023, 2257644, 602, 12, 22, "Message",ExpressionUUID->"b0d1229d-b0e0-479c-abe3-456822825439"],
+Cell[114965628, 2257658, 600, 12, 22, "Message",ExpressionUUID->"4af56859-d5f2-4581-b4d2-efcf861b601c"],
+Cell[114966231, 2257672, 456, 10, 22, "Message",ExpressionUUID->"092e2915-af05-4fa0-91a8-cc4854edc632"]
}, Open ]],
Cell[CellGroupData[{
-Cell[114884676, 2256369, 347, 8, 22, "Input",ExpressionUUID->"e5aefd64-c8d0-4c76-9c40-c955c5bf7666"],
-Cell[114885026, 2256379, 602, 12, 22, "Message",ExpressionUUID->"98d993e7-3b4d-4a10-90dc-4000c414cc4c"],
-Cell[114885631, 2256393, 602, 12, 22, "Message",ExpressionUUID->"b0d1229d-b0e0-479c-abe3-456822825439"],
-Cell[114886236, 2256407, 600, 12, 22, "Message",ExpressionUUID->"4af56859-d5f2-4581-b4d2-efcf861b601c"],
-Cell[114886839, 2256421, 456, 10, 22, "Message",ExpressionUUID->"092e2915-af05-4fa0-91a8-cc4854edc632"]
+Cell[114966724, 2257687, 351, 8, 22, "Input",ExpressionUUID->"2d449794-700d-41e4-9208-d4f78b687d30"],
+Cell[114967078, 2257697, 651, 13, 22, "Message",ExpressionUUID->"32e3457c-ead7-469b-b8ed-fec42404aa28"],
+Cell[114967732, 2257712, 649, 13, 22, "Message",ExpressionUUID->"0ec332a9-e6fd-44b2-b70d-98de908cf8e4"],
+Cell[114968384, 2257727, 648, 13, 22, "Message",ExpressionUUID->"27928795-3dd3-4556-a435-4b9ebf28442f"],
+Cell[114969035, 2257742, 506, 11, 22, "Message",ExpressionUUID->"1d1d26a6-dcdf-494f-9f9e-414f67309700"]
}, Open ]],
Cell[CellGroupData[{
-Cell[114887332, 2256436, 351, 8, 22, "Input",ExpressionUUID->"2d449794-700d-41e4-9208-d4f78b687d30"],
-Cell[114887686, 2256446, 651, 13, 22, "Message",ExpressionUUID->"32e3457c-ead7-469b-b8ed-fec42404aa28"],
-Cell[114888340, 2256461, 649, 13, 22, "Message",ExpressionUUID->"0ec332a9-e6fd-44b2-b70d-98de908cf8e4"],
-Cell[114888992, 2256476, 648, 13, 22, "Message",ExpressionUUID->"27928795-3dd3-4556-a435-4b9ebf28442f"],
-Cell[114889643, 2256491, 506, 11, 22, "Message",ExpressionUUID->"1d1d26a6-dcdf-494f-9f9e-414f67309700"]
+Cell[114969578, 2257758, 304, 7, 22, "Input",ExpressionUUID->"25c438c4-28d6-4571-b386-a221f49f891c"],
+Cell[114969885, 2257767, 600, 12, 22, "Message",ExpressionUUID->"0b766559-53f7-4b39-973b-c421c96b98d0"],
+Cell[114970488, 2257781, 600, 12, 22, "Message",ExpressionUUID->"91b27600-95e8-4100-99be-0a89ac89b632"],
+Cell[114971091, 2257795, 600, 12, 22, "Message",ExpressionUUID->"912f8ed4-c167-44c5-bc23-9bdd9c934fb6"],
+Cell[114971694, 2257809, 457, 10, 22, "Message",ExpressionUUID->"c886d67e-21c5-44c6-8c02-5c23c58a6b12"]
}, Open ]],
-Cell[114890164, 2256505, 304, 7, 22, "Input",ExpressionUUID->"25c438c4-28d6-4571-b386-a221f49f891c"],
Cell[CellGroupData[{
-Cell[114890493, 2256516, 270, 6, 22, "Input",ExpressionUUID->"bbbcc84f-3f9e-4c24-981c-6cb6a5eeb6a7"],
-Cell[114890766, 2256524, 1523, 37, 39, "Output",ExpressionUUID->"9281f944-44b3-4a5a-b037-4a72fd16cbc1"]
+Cell[114972188, 2257824, 270, 6, 22, "Input",ExpressionUUID->"bbbcc84f-3f9e-4c24-981c-6cb6a5eeb6a7"],
+Cell[114972461, 2257832, 1523, 37, 39, "Output",ExpressionUUID->"9281f944-44b3-4a5a-b037-4a72fd16cbc1"]
}, Open ]],
Cell[CellGroupData[{
-Cell[114892326, 2256566, 441, 12, 38, "Input",ExpressionUUID->"c4efe215-a7de-41e7-a800-e94af57e5dee"],
-Cell[114892770, 2256580, 396, 9, 32, "Message",ExpressionUUID->"bd9d69ee-ec03-4b24-877c-5af3eb340613"],
-Cell[114893169, 2256591, 394, 9, 32, "Message",ExpressionUUID->"24e378d8-1271-44b3-bd1a-d1112600151b"],
-Cell[114893566, 2256602, 396, 9, 32, "Message",ExpressionUUID->"91a04762-f7e3-4018-a517-e96a828b2dea"],
-Cell[114893965, 2256613, 474, 10, 22, "Message",ExpressionUUID->"f468b93c-6e72-41c7-90ac-9dcb597138ca"],
-Cell[114894442, 2256625, 83857, 1441, 171, "Output",ExpressionUUID->"727779ba-9398-4d22-b040-cd2941d109f9"]
+Cell[114974021, 2257874, 441, 12, 38, "Input",ExpressionUUID->"c4efe215-a7de-41e7-a800-e94af57e5dee"],
+Cell[114974465, 2257888, 396, 9, 32, "Message",ExpressionUUID->"bd9d69ee-ec03-4b24-877c-5af3eb340613"],
+Cell[114974864, 2257899, 394, 9, 32, "Message",ExpressionUUID->"24e378d8-1271-44b3-bd1a-d1112600151b"],
+Cell[114975261, 2257910, 396, 9, 32, "Message",ExpressionUUID->"91a04762-f7e3-4018-a517-e96a828b2dea"],
+Cell[114975660, 2257921, 474, 10, 22, "Message",ExpressionUUID->"f468b93c-6e72-41c7-90ac-9dcb597138ca"],
+Cell[114976137, 2257933, 83857, 1441, 171, "Output",ExpressionUUID->"727779ba-9398-4d22-b040-cd2941d109f9"]
}, Open ]],
Cell[CellGroupData[{
-Cell[114978336, 2258071, 412, 12, 22, "Input",ExpressionUUID->"ca54425d-4ee4-49c1-a3f0-ad0e4fd1b808"],
-Cell[114978751, 2258085, 486, 11, 25, "Output",ExpressionUUID->"7b280dca-064b-48b1-afb0-bf02c139dbfb"]
+Cell[115060031, 2259379, 412, 12, 22, "Input",ExpressionUUID->"ca54425d-4ee4-49c1-a3f0-ad0e4fd1b808"],
+Cell[115060446, 2259393, 486, 11, 25, "Output",ExpressionUUID->"7b280dca-064b-48b1-afb0-bf02c139dbfb"]
}, Open ]],
Cell[CellGroupData[{
-Cell[114979274, 2258101, 284, 7, 22, "Input",ExpressionUUID->"5a81f322-d80d-4260-b458-e816ef175c74"],
-Cell[114979561, 2258110, 1151, 29, 28, "Output",ExpressionUUID->"eddb8ebf-7b5f-4494-81d0-88aa700f9bb1"]
+Cell[115060969, 2259409, 284, 7, 22, "Input",ExpressionUUID->"5a81f322-d80d-4260-b458-e816ef175c74"],
+Cell[115061256, 2259418, 1151, 29, 28, "Output",ExpressionUUID->"eddb8ebf-7b5f-4494-81d0-88aa700f9bb1"]
}, Open ]],
-Cell[114980727, 2258142, 270, 7, 36, "Input",ExpressionUUID->"42eae90f-4f74-48d8-924f-ea8b6f8c30af"],
+Cell[115062422, 2259450, 270, 7, 36, "Input",ExpressionUUID->"42eae90f-4f74-48d8-924f-ea8b6f8c30af"],
Cell[CellGroupData[{
-Cell[114981022, 2258153, 464, 11, 24, "Input",ExpressionUUID->"24e73aae-d62e-4f0a-bcc6-bc5a2f15a2c1"],
-Cell[114981489, 2258166, 415, 10, 22, "Message",ExpressionUUID->"2482d869-7ee3-49c4-9538-ef30f39284b0"]
+Cell[115062717, 2259461, 464, 11, 24, "Input",ExpressionUUID->"24e73aae-d62e-4f0a-bcc6-bc5a2f15a2c1"],
+Cell[115063184, 2259474, 415, 10, 22, "Message",ExpressionUUID->"2482d869-7ee3-49c4-9538-ef30f39284b0"]
}, Open ]],
Cell[CellGroupData[{
-Cell[114981941, 2258181, 279, 6, 22, "Input",ExpressionUUID->"383b3ad6-d113-4d5e-9efa-db65d219ef0f"],
-Cell[114982223, 2258189, 600, 12, 22, "Message",ExpressionUUID->"99dff377-06db-41d2-ba69-1d8485b6510c"]
+Cell[115063636, 2259489, 279, 6, 22, "Input",ExpressionUUID->"383b3ad6-d113-4d5e-9efa-db65d219ef0f"],
+Cell[115063918, 2259497, 600, 12, 22, "Message",ExpressionUUID->"99dff377-06db-41d2-ba69-1d8485b6510c"]
}, Open ]],
Cell[CellGroupData[{
-Cell[114982860, 2258206, 349, 8, 22, "Input",ExpressionUUID->"9f51f470-796b-4f4c-b3e3-dd491208b870"],
-Cell[114983212, 2258216, 602, 12, 22, "Message",ExpressionUUID->"289a2cdf-3268-4d52-af20-1c65862cf079"],
-Cell[114983817, 2258230, 602, 12, 22, "Message",ExpressionUUID->"59ce5b3e-282d-4602-aefa-58e1d2551dbf"],
-Cell[114984422, 2258244, 600, 12, 22, "Message",ExpressionUUID->"ba0e3945-ca11-4e35-9321-998049005889"],
-Cell[114985025, 2258258, 457, 10, 22, "Message",ExpressionUUID->"afd941bd-d3a0-4c00-ba76-ff70586e538c"]
+Cell[115064555, 2259514, 349, 8, 22, "Input",ExpressionUUID->"9f51f470-796b-4f4c-b3e3-dd491208b870"],
+Cell[115064907, 2259524, 602, 12, 22, "Message",ExpressionUUID->"289a2cdf-3268-4d52-af20-1c65862cf079"],
+Cell[115065512, 2259538, 602, 12, 22, "Message",ExpressionUUID->"59ce5b3e-282d-4602-aefa-58e1d2551dbf"],
+Cell[115066117, 2259552, 600, 12, 22, "Message",ExpressionUUID->"ba0e3945-ca11-4e35-9321-998049005889"],
+Cell[115066720, 2259566, 457, 10, 22, "Message",ExpressionUUID->"afd941bd-d3a0-4c00-ba76-ff70586e538c"]
}, Open ]],
-Cell[114985497, 2258271, 1295, 40, 38, "Input",ExpressionUUID->"ce3f27a1-d49f-42d2-977a-b652cba3197a"],
+Cell[115067192, 2259579, 1295, 40, 38, "Input",ExpressionUUID->"ce3f27a1-d49f-42d2-977a-b652cba3197a"],
Cell[CellGroupData[{
-Cell[114986817, 2258315, 2760, 77, 77, "Input",ExpressionUUID->"5734ed13-8c64-4007-a82d-b7fa2c902118"],
-Cell[114989580, 2258394, 621, 12, 32, "Message",ExpressionUUID->"1591d0d7-5094-43d6-aab9-6b5fd65c5eee"],
-Cell[114990204, 2258408, 620, 12, 22, "Message",ExpressionUUID->"5614e1be-6606-4d64-b4c4-af30843cfea7"],
-Cell[114990827, 2258422, 621, 12, 32, "Message",ExpressionUUID->"c4990317-061b-4721-bf74-ac25271613d5"],
-Cell[114991451, 2258436, 622, 12, 22, "Message",ExpressionUUID->"4dd6a865-8e89-469a-9d64-9e2e57b93756"],
-Cell[114992076, 2258450, 623, 12, 32, "Message",ExpressionUUID->"4ec807d5-758c-47f7-8e70-45b33280c371"],
-Cell[114992702, 2258464, 701, 13, 22, "Message",ExpressionUUID->"54da87d4-9048-4f43-9502-2390c2c60242"],
-Cell[114993406, 2258479, 620, 12, 22, "Message",ExpressionUUID->"d8e15e54-1b03-4f68-bd53-0130df306123"],
-Cell[114994029, 2258493, 698, 13, 22, "Message",ExpressionUUID->"dcef5159-9f7f-4cd8-a55e-5bb5cd0eb8a7"],
-Cell[114994730, 2258508, 133032, 2289, 494, "Output",ExpressionUUID->"7e8ac1f9-c848-4c09-8954-9fc67faeda26"]
+Cell[115068512, 2259623, 2760, 77, 77, "Input",ExpressionUUID->"5734ed13-8c64-4007-a82d-b7fa2c902118"],
+Cell[115071275, 2259702, 621, 12, 32, "Message",ExpressionUUID->"1591d0d7-5094-43d6-aab9-6b5fd65c5eee"],
+Cell[115071899, 2259716, 620, 12, 22, "Message",ExpressionUUID->"5614e1be-6606-4d64-b4c4-af30843cfea7"],
+Cell[115072522, 2259730, 621, 12, 32, "Message",ExpressionUUID->"c4990317-061b-4721-bf74-ac25271613d5"],
+Cell[115073146, 2259744, 622, 12, 22, "Message",ExpressionUUID->"4dd6a865-8e89-469a-9d64-9e2e57b93756"],
+Cell[115073771, 2259758, 623, 12, 32, "Message",ExpressionUUID->"4ec807d5-758c-47f7-8e70-45b33280c371"],
+Cell[115074397, 2259772, 701, 13, 22, "Message",ExpressionUUID->"54da87d4-9048-4f43-9502-2390c2c60242"],
+Cell[115075101, 2259787, 620, 12, 22, "Message",ExpressionUUID->"d8e15e54-1b03-4f68-bd53-0130df306123"],
+Cell[115075724, 2259801, 698, 13, 22, "Message",ExpressionUUID->"dcef5159-9f7f-4cd8-a55e-5bb5cd0eb8a7"],
+Cell[115076425, 2259816, 133032, 2289, 494, "Output",ExpressionUUID->"7e8ac1f9-c848-4c09-8954-9fc67faeda26"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115127799, 2260802, 1832, 54, 60, "Input",ExpressionUUID->"e0feb702-3d9f-462a-93d1-b27dffcc8c30"],
-Cell[115129634, 2260858, 375, 9, 32, "Message",ExpressionUUID->"385b4343-fd07-4388-bcb1-4d51b73422af"],
-Cell[115130012, 2260869, 373, 9, 22, "Message",ExpressionUUID->"6a6fdcf5-5e63-4256-8761-2cf11ee46b9c"],
-Cell[115130388, 2260880, 375, 9, 32, "Message",ExpressionUUID->"1b0a143e-9107-4b30-a70e-7b548c88a399"],
-Cell[115130766, 2260891, 373, 9, 22, "Message",ExpressionUUID->"c014b136-1902-4a3a-955d-9bd6d6b940a6"],
-Cell[115131142, 2260902, 377, 9, 32, "Message",ExpressionUUID->"caa50336-4ccb-44a3-915d-f185aab6f3d5"],
-Cell[115131522, 2260913, 455, 10, 22, "Message",ExpressionUUID->"8df851ff-c20d-4092-81b0-580f2bf9c7d2"],
-Cell[115131980, 2260925, 374, 9, 22, "Message",ExpressionUUID->"455cda6b-c20c-4155-8652-1b5466f3a885"],
-Cell[115132357, 2260936, 451, 10, 22, "Message",ExpressionUUID->"e0b1034a-366b-4168-b3db-0a03a0f89b4c"],
-Cell[115132811, 2260948, 94344, 1625, 176, "Output",ExpressionUUID->"6540238f-f555-4d6c-b870-c14bffac9714"]
+Cell[115209494, 2262110, 1832, 54, 60, "Input",ExpressionUUID->"e0feb702-3d9f-462a-93d1-b27dffcc8c30"],
+Cell[115211329, 2262166, 375, 9, 32, "Message",ExpressionUUID->"385b4343-fd07-4388-bcb1-4d51b73422af"],
+Cell[115211707, 2262177, 373, 9, 22, "Message",ExpressionUUID->"6a6fdcf5-5e63-4256-8761-2cf11ee46b9c"],
+Cell[115212083, 2262188, 375, 9, 32, "Message",ExpressionUUID->"1b0a143e-9107-4b30-a70e-7b548c88a399"],
+Cell[115212461, 2262199, 373, 9, 22, "Message",ExpressionUUID->"c014b136-1902-4a3a-955d-9bd6d6b940a6"],
+Cell[115212837, 2262210, 377, 9, 32, "Message",ExpressionUUID->"caa50336-4ccb-44a3-915d-f185aab6f3d5"],
+Cell[115213217, 2262221, 455, 10, 22, "Message",ExpressionUUID->"8df851ff-c20d-4092-81b0-580f2bf9c7d2"],
+Cell[115213675, 2262233, 374, 9, 22, "Message",ExpressionUUID->"455cda6b-c20c-4155-8652-1b5466f3a885"],
+Cell[115214052, 2262244, 451, 10, 22, "Message",ExpressionUUID->"e0b1034a-366b-4168-b3db-0a03a0f89b4c"],
+Cell[115214506, 2262256, 94344, 1625, 176, "Output",ExpressionUUID->"6540238f-f555-4d6c-b870-c14bffac9714"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115227192, 2262578, 996, 29, 38, "Input",ExpressionUUID->"9451f482-e8d4-4852-b5d1-45676cf290fc"],
-Cell[115228191, 2262609, 1499, 38, 39, "Output",ExpressionUUID->"93ee061f-0a24-406e-89e7-5ae9fc8516ff"]
+Cell[115308887, 2263886, 996, 29, 38, "Input",ExpressionUUID->"9451f482-e8d4-4852-b5d1-45676cf290fc"],
+Cell[115309886, 2263917, 1499, 38, 39, "Output",ExpressionUUID->"93ee061f-0a24-406e-89e7-5ae9fc8516ff"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115229727, 2262652, 295, 7, 22, "Input",ExpressionUUID->"000abe15-d5b5-4fa1-99d2-6dc044becf70"],
-Cell[115230025, 2262661, 188, 4, 25, "Output",ExpressionUUID->"d0102c57-f855-4058-8e03-fb65b0386e5c"]
+Cell[115311422, 2263960, 295, 7, 22, "Input",ExpressionUUID->"000abe15-d5b5-4fa1-99d2-6dc044becf70"],
+Cell[115311720, 2263969, 188, 4, 25, "Output",ExpressionUUID->"d0102c57-f855-4058-8e03-fb65b0386e5c"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115230250, 2262670, 2018, 56, 25, "Input",ExpressionUUID->"0d571649-a5a3-4c16-90d6-ba7cc096f4c8"],
-Cell[115232271, 2262728, 6666, 137, 89, "Output",ExpressionUUID->"e2a460dd-ba61-4338-9846-42c2f4751af5"]
+Cell[115311945, 2263978, 2018, 56, 25, "Input",ExpressionUUID->"0d571649-a5a3-4c16-90d6-ba7cc096f4c8"],
+Cell[115313966, 2264036, 6666, 137, 89, "Output",ExpressionUUID->"e2a460dd-ba61-4338-9846-42c2f4751af5"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115238974, 2262870, 2045, 52, 24, "Input",ExpressionUUID->"f3014ef2-bc4e-4157-9bc6-e2b81bd7c61d"],
-Cell[115241022, 2262924, 1308, 33, 25, "Output",ExpressionUUID->"a19988ef-5016-404f-8a20-5eedd37cfd4d"]
+Cell[115320669, 2264178, 2045, 52, 24, "Input",ExpressionUUID->"f3014ef2-bc4e-4157-9bc6-e2b81bd7c61d"],
+Cell[115322717, 2264232, 1308, 33, 25, "Output",ExpressionUUID->"a19988ef-5016-404f-8a20-5eedd37cfd4d"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115242367, 2262962, 213, 4, 22, "Input",ExpressionUUID->"cbf8c653-85d9-4183-8c45-015460e89d6b"],
-Cell[115242583, 2262968, 222, 4, 25, "Output",ExpressionUUID->"f6f52be6-0a1d-4424-b2d8-cee9e4098472"]
+Cell[115324062, 2264270, 213, 4, 22, "Input",ExpressionUUID->"cbf8c653-85d9-4183-8c45-015460e89d6b"],
+Cell[115324278, 2264276, 222, 4, 25, "Output",ExpressionUUID->"f6f52be6-0a1d-4424-b2d8-cee9e4098472"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115242842, 2262977, 1305, 35, 22, "Input",ExpressionUUID->"f50706c9-10ce-4491-b0fc-3a68374d836a"],
-Cell[115244150, 2263014, 387, 8, 27, "Output",ExpressionUUID->"88fb24ab-c46c-4309-9d8d-8608cb7d2c8f"]
+Cell[115324537, 2264285, 1305, 35, 22, "Input",ExpressionUUID->"f50706c9-10ce-4491-b0fc-3a68374d836a"],
+Cell[115325845, 2264322, 387, 8, 27, "Output",ExpressionUUID->"88fb24ab-c46c-4309-9d8d-8608cb7d2c8f"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115244574, 2263027, 231, 5, 22, "Input",ExpressionUUID->"480bcf2f-adf1-4f97-aba9-f83c86355379"],
-Cell[115244808, 2263034, 188, 4, 25, "Output",ExpressionUUID->"81bee851-3a93-4b04-9d71-5ce7806da577"]
+Cell[115326269, 2264335, 231, 5, 22, "Input",ExpressionUUID->"480bcf2f-adf1-4f97-aba9-f83c86355379"],
+Cell[115326503, 2264342, 188, 4, 25, "Output",ExpressionUUID->"81bee851-3a93-4b04-9d71-5ce7806da577"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115245033, 2263043, 360, 8, 22, "Input",ExpressionUUID->"ae0cf7fc-96a2-4d6b-82ae-a674b300dd17"],
-Cell[115245396, 2263053, 305, 5, 25, "Output",ExpressionUUID->"49b2934e-ec23-4349-bf8c-0cfe13881151"]
+Cell[115326728, 2264351, 360, 8, 22, "Input",ExpressionUUID->"ae0cf7fc-96a2-4d6b-82ae-a674b300dd17"],
+Cell[115327091, 2264361, 305, 5, 25, "Output",ExpressionUUID->"49b2934e-ec23-4349-bf8c-0cfe13881151"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115245738, 2263063, 1442, 39, 38, "Input",ExpressionUUID->"832e230e-a880-4a49-878a-2ab9f5d8abda"],
-Cell[115247183, 2263104, 7681, 163, 199, "Output",ExpressionUUID->"78e5a271-cf5e-4840-8c4b-77510b79d7a1"]
+Cell[115327433, 2264371, 1442, 39, 38, "Input",ExpressionUUID->"832e230e-a880-4a49-878a-2ab9f5d8abda"],
+Cell[115328878, 2264412, 7681, 163, 199, "Output",ExpressionUUID->"78e5a271-cf5e-4840-8c4b-77510b79d7a1"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115254901, 2263272, 2972, 83, 77, "Input",ExpressionUUID->"9a35aad5-daba-415e-af1e-5ecf76c5f980"],
-Cell[115257876, 2263357, 671, 13, 32, "Message",ExpressionUUID->"dc41e67e-8882-4c48-b221-db04ff9198e0"],
-Cell[115258550, 2263372, 672, 13, 22, "Message",ExpressionUUID->"d7c6ff52-6fcc-4d52-a524-74940311068f"],
-Cell[115259225, 2263387, 673, 13, 32, "Message",ExpressionUUID->"e7f21501-a9c6-4ad0-a288-38313d368b69"],
-Cell[115259901, 2263402, 670, 13, 22, "Message",ExpressionUUID->"859ce387-7d6f-4816-a81b-de66de276d42"],
-Cell[115260574, 2263417, 673, 13, 32, "Message",ExpressionUUID->"5a5a069b-0a97-43e8-ba77-c043bc4975c9"],
-Cell[115261250, 2263432, 749, 14, 22, "Message",ExpressionUUID->"7589de06-0451-4c28-b72b-9b00800819fc"],
-Cell[115262002, 2263448, 672, 13, 22, "Message",ExpressionUUID->"5b3000a7-ac21-48ea-87f7-fd565b8ffde3"],
-Cell[115262677, 2263463, 748, 14, 22, "Message",ExpressionUUID->"4407e451-e458-45ce-bd91-8aac23beb31c"],
-Cell[115263428, 2263479, 95735, 1621, 496, "Output",ExpressionUUID->"764abbb7-1088-4ca7-a44a-4a351ef4d341"]
+Cell[115336596, 2264580, 2972, 83, 77, "Input",ExpressionUUID->"9a35aad5-daba-415e-af1e-5ecf76c5f980"],
+Cell[115339571, 2264665, 671, 13, 32, "Message",ExpressionUUID->"dc41e67e-8882-4c48-b221-db04ff9198e0"],
+Cell[115340245, 2264680, 672, 13, 22, "Message",ExpressionUUID->"d7c6ff52-6fcc-4d52-a524-74940311068f"],
+Cell[115340920, 2264695, 673, 13, 32, "Message",ExpressionUUID->"e7f21501-a9c6-4ad0-a288-38313d368b69"],
+Cell[115341596, 2264710, 670, 13, 22, "Message",ExpressionUUID->"859ce387-7d6f-4816-a81b-de66de276d42"],
+Cell[115342269, 2264725, 673, 13, 32, "Message",ExpressionUUID->"5a5a069b-0a97-43e8-ba77-c043bc4975c9"],
+Cell[115342945, 2264740, 749, 14, 22, "Message",ExpressionUUID->"7589de06-0451-4c28-b72b-9b00800819fc"],
+Cell[115343697, 2264756, 672, 13, 22, "Message",ExpressionUUID->"5b3000a7-ac21-48ea-87f7-fd565b8ffde3"],
+Cell[115344372, 2264771, 748, 14, 22, "Message",ExpressionUUID->"4407e451-e458-45ce-bd91-8aac23beb31c"],
+Cell[115345123, 2264787, 95735, 1621, 496, "Output",ExpressionUUID->"764abbb7-1088-4ca7-a44a-4a351ef4d341"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115359200, 2265105, 913, 24, 24, "Input",ExpressionUUID->"60ec0bd5-312a-4d64-b9b0-61edb59effb6"],
-Cell[115360116, 2265131, 52360, 957, 174, "Output",ExpressionUUID->"d7b61c63-811e-4ec5-91c2-0ed0010453ad"]
+Cell[115440895, 2266413, 913, 24, 24, "Input",ExpressionUUID->"60ec0bd5-312a-4d64-b9b0-61edb59effb6"],
+Cell[115441811, 2266439, 52360, 957, 174, "Output",ExpressionUUID->"d7b61c63-811e-4ec5-91c2-0ed0010453ad"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115412513, 2266093, 5668, 146, 59, "Input",ExpressionUUID->"95109b0d-d9ac-4e9c-8d99-96a870af5044"],
-Cell[115418184, 2266241, 71615, 1311, 141, "Output",ExpressionUUID->"5c53a557-238a-454f-b770-544083796095"]
+Cell[115494208, 2267401, 5668, 146, 59, "Input",ExpressionUUID->"95109b0d-d9ac-4e9c-8d99-96a870af5044"],
+Cell[115499879, 2267549, 71615, 1311, 141, "Output",ExpressionUUID->"5c53a557-238a-454f-b770-544083796095"]
}, Open ]],
-Cell[115489814, 2267555, 300, 7, 24, "Input",ExpressionUUID->"58e7e361-305b-481f-8d0d-c54e876c331f"],
+Cell[115571509, 2268863, 300, 7, 24, "Input",ExpressionUUID->"58e7e361-305b-481f-8d0d-c54e876c331f"],
Cell[CellGroupData[{
-Cell[115490139, 2267566, 6081, 154, 76, "Input",ExpressionUUID->"9be1f90d-36a6-470b-b717-bb627e7fdc9d"],
-Cell[115496223, 2267722, 412127, 6882, 147, "Output",ExpressionUUID->"71e5cce1-e76a-4a6a-84d9-bb8c61f5d9e9"]
+Cell[115571834, 2268874, 5483, 140, 59, "Input",ExpressionUUID->"9be1f90d-36a6-470b-b717-bb627e7fdc9d"],
+Cell[115577320, 2269016, 565982, 9424, 144, "Output",ExpressionUUID->"9432b283-368b-41e6-9d98-43a25b719eb4"]
}, Open ]],
Cell[CellGroupData[{
-Cell[115908387, 2274609, 2116, 53, 76, "Input",ExpressionUUID->"325d0f78-793f-4b59-acab-c63ea77b1c79"],
-Cell[115910506, 2274664, 130270, 2236, 176, "Output",ExpressionUUID->"a8a7eafb-3a56-48fd-b065-d354a04ef109"]
+Cell[116143339, 2278445, 2116, 53, 76, "Input",ExpressionUUID->"325d0f78-793f-4b59-acab-c63ea77b1c79"],
+Cell[116145458, 2278500, 130270, 2236, 176, "Output",ExpressionUUID->"a8a7eafb-3a56-48fd-b065-d354a04ef109"]
}, Open ]],
Cell[CellGroupData[{
-Cell[116040813, 2276905, 337, 8, 22, "Input",ExpressionUUID->"267a9dd7-8f08-41d4-8a94-27f90b76c0f9"],
-Cell[116041153, 2276915, 600, 12, 22, "Message",ExpressionUUID->"21f09608-fd1f-4a82-8eef-1c198eede52f"],
-Cell[116041756, 2276929, 600, 12, 22, "Message",ExpressionUUID->"a59885c5-94ea-418b-803c-d2d0d71bbe90"],
-Cell[116042359, 2276943, 600, 12, 22, "Message",ExpressionUUID->"97dc673f-726c-44d1-bc1e-c1cc4746cf70"],
-Cell[116042962, 2276957, 459, 10, 22, "Message",ExpressionUUID->"e3906812-a3e2-4d8c-b864-d1b57958f50b"]
+Cell[116275765, 2280741, 337, 8, 22, "Input",ExpressionUUID->"267a9dd7-8f08-41d4-8a94-27f90b76c0f9"],
+Cell[116276105, 2280751, 600, 12, 22, "Message",ExpressionUUID->"21f09608-fd1f-4a82-8eef-1c198eede52f"],
+Cell[116276708, 2280765, 600, 12, 22, "Message",ExpressionUUID->"a59885c5-94ea-418b-803c-d2d0d71bbe90"],
+Cell[116277311, 2280779, 600, 12, 22, "Message",ExpressionUUID->"97dc673f-726c-44d1-bc1e-c1cc4746cf70"],
+Cell[116277914, 2280793, 459, 10, 22, "Message",ExpressionUUID->"e3906812-a3e2-4d8c-b864-d1b57958f50b"]
}, Open ]],
Cell[CellGroupData[{
-Cell[116043458, 2276972, 742, 22, 38, "Input",ExpressionUUID->"b64dc346-9e01-4b99-9feb-8a09fc81286e"],
-Cell[116044203, 2276996, 398, 9, 32, "Message",ExpressionUUID->"442ce57d-5af5-4adb-831c-790e2c3fc49b"],
-Cell[116044604, 2277007, 396, 9, 22, "Message",ExpressionUUID->"88af9ce5-0449-4d18-8860-755d69924d1d"],
-Cell[116045003, 2277018, 398, 9, 32, "Message",ExpressionUUID->"4a7b5f49-133f-4618-a206-3228781d2d00"],
-Cell[116045404, 2277029, 396, 9, 22, "Message",ExpressionUUID->"036363d1-07de-407e-bb27-e5dcfe7a4ca7"],
-Cell[116045803, 2277040, 398, 9, 32, "Message",ExpressionUUID->"c0cab48b-b93d-4882-b99d-142a26995c50"],
-Cell[116046204, 2277051, 478, 10, 22, "Message",ExpressionUUID->"ac4685f4-43c3-4dd5-8aad-fbfe093f32d6"],
-Cell[116046685, 2277063, 395, 9, 22, "Message",ExpressionUUID->"0d526222-47e4-4756-aab3-0e9e83f827c8"],
-Cell[116047083, 2277074, 473, 10, 22, "Message",ExpressionUUID->"b70e57a2-0776-4afa-8da0-1cf4506cf9ad"],
-Cell[116047559, 2277086, 15872, 360, 170, "Output",ExpressionUUID->"cbfa6fc5-db11-459f-85c2-f073e2d3a505"]
+Cell[116278410, 2280808, 742, 22, 38, "Input",ExpressionUUID->"b64dc346-9e01-4b99-9feb-8a09fc81286e"],
+Cell[116279155, 2280832, 398, 9, 32, "Message",ExpressionUUID->"442ce57d-5af5-4adb-831c-790e2c3fc49b"],
+Cell[116279556, 2280843, 396, 9, 22, "Message",ExpressionUUID->"88af9ce5-0449-4d18-8860-755d69924d1d"],
+Cell[116279955, 2280854, 398, 9, 32, "Message",ExpressionUUID->"4a7b5f49-133f-4618-a206-3228781d2d00"],
+Cell[116280356, 2280865, 396, 9, 22, "Message",ExpressionUUID->"036363d1-07de-407e-bb27-e5dcfe7a4ca7"],
+Cell[116280755, 2280876, 398, 9, 32, "Message",ExpressionUUID->"c0cab48b-b93d-4882-b99d-142a26995c50"],
+Cell[116281156, 2280887, 478, 10, 22, "Message",ExpressionUUID->"ac4685f4-43c3-4dd5-8aad-fbfe093f32d6"],
+Cell[116281637, 2280899, 395, 9, 22, "Message",ExpressionUUID->"0d526222-47e4-4756-aab3-0e9e83f827c8"],
+Cell[116282035, 2280910, 473, 10, 22, "Message",ExpressionUUID->"b70e57a2-0776-4afa-8da0-1cf4506cf9ad"],
+Cell[116282511, 2280922, 15872, 360, 170, "Output",ExpressionUUID->"cbfa6fc5-db11-459f-85c2-f073e2d3a505"]
}, Open ]],
Cell[CellGroupData[{
-Cell[116063468, 2277451, 2182, 57, 38, "Input",ExpressionUUID->"890bea7a-e57b-409f-ad61-183c254ad647"],
-Cell[116065653, 2277510, 15577, 354, 177, "Output",ExpressionUUID->"389399d5-6ec2-438e-86d4-3e712919ed4d"]
+Cell[116298420, 2281287, 2182, 57, 38, "Input",ExpressionUUID->"890bea7a-e57b-409f-ad61-183c254ad647"],
+Cell[116300605, 2281346, 15577, 354, 177, "Output",ExpressionUUID->"389399d5-6ec2-438e-86d4-3e712919ed4d"]
}, Open ]],
-Cell[116081245, 2277867, 129, 3, 22, "Input",ExpressionUUID->"577a5626-9a49-4f68-8855-d5b781ea34e1"],
+Cell[116316197, 2281703, 129, 3, 22, "Input",ExpressionUUID->"577a5626-9a49-4f68-8855-d5b781ea34e1"],
Cell[CellGroupData[{
-Cell[116081399, 2277874, 1757, 52, 99, "Input",ExpressionUUID->"9e3c27f0-63be-4794-b8c4-1d190229f511"],
-Cell[116083159, 2277928, 400, 9, 32, "Message",ExpressionUUID->"ad48dc54-7f5f-4511-8853-a49c8411396d"],
-Cell[116083562, 2277939, 399, 9, 22, "Message",ExpressionUUID->"bbd8d551-0520-4fbb-abb9-4011a5e9d29d"],
-Cell[116083964, 2277950, 400, 9, 32, "Message",ExpressionUUID->"a978cb92-26eb-4be3-a8b1-2b2874141c0b"],
-Cell[116084367, 2277961, 399, 9, 22, "Message",ExpressionUUID->"ebdb2937-3a56-4bfc-a3af-5494145a8a17"],
-Cell[116084769, 2277972, 400, 9, 32, "Message",ExpressionUUID->"63fff53e-13db-4406-9101-863acfa32042"],
-Cell[116085172, 2277983, 478, 10, 22, "Message",ExpressionUUID->"50e9e914-5db4-48d0-8bb7-6d23d13e1369"],
-Cell[116085653, 2277995, 401, 9, 22, "Message",ExpressionUUID->"dff10124-20c7-4a75-b044-9af61e1fcb7f"],
-Cell[116086057, 2278006, 479, 10, 22, "Message",ExpressionUUID->"59d09b34-2f35-4c68-a156-beba2282e930"],
-Cell[116086539, 2278018, 93718, 1636, 264, "Output",ExpressionUUID->"64b1431e-8673-41b5-b504-08538600ede9"]
+Cell[116316351, 2281710, 1757, 52, 99, "Input",ExpressionUUID->"9e3c27f0-63be-4794-b8c4-1d190229f511"],
+Cell[116318111, 2281764, 400, 9, 32, "Message",ExpressionUUID->"ad48dc54-7f5f-4511-8853-a49c8411396d"],
+Cell[116318514, 2281775, 399, 9, 22, "Message",ExpressionUUID->"bbd8d551-0520-4fbb-abb9-4011a5e9d29d"],
+Cell[116318916, 2281786, 400, 9, 32, "Message",ExpressionUUID->"a978cb92-26eb-4be3-a8b1-2b2874141c0b"],
+Cell[116319319, 2281797, 399, 9, 22, "Message",ExpressionUUID->"ebdb2937-3a56-4bfc-a3af-5494145a8a17"],
+Cell[116319721, 2281808, 400, 9, 32, "Message",ExpressionUUID->"63fff53e-13db-4406-9101-863acfa32042"],
+Cell[116320124, 2281819, 478, 10, 22, "Message",ExpressionUUID->"50e9e914-5db4-48d0-8bb7-6d23d13e1369"],
+Cell[116320605, 2281831, 401, 9, 22, "Message",ExpressionUUID->"dff10124-20c7-4a75-b044-9af61e1fcb7f"],
+Cell[116321009, 2281842, 479, 10, 22, "Message",ExpressionUUID->"59d09b34-2f35-4c68-a156-beba2282e930"],
+Cell[116321491, 2281854, 93718, 1636, 264, "Output",ExpressionUUID->"64b1431e-8673-41b5-b504-08538600ede9"]
}, Open ]]
}, Open ]]
}