0
0
mirror of http://CODE.RHODECODE.COM/u/O/O/O synced 2024-11-25 10:08:39 -05:00
O/𖣠⚪∣❁∣ᙁᑐᑕ∣옷⚪𔗢⚪🞋⚪𔗢⚪옷∣ᑐᑕᙁ∣❁∣⚪𖣠/𖣠⚪ᕤᕦИNꖴ✤ᑎߦᙏⓄᑐᑕ⚪𔗢⚪🞋⚪𔗢⚪ᑐᑕⓄᙏߦᑎ✤ꖴИNᕤᕦ⚪𖣠/𖣠⚪ᗱᗴᴥᗩᗯ✤ꗳⓄᔓᔕ⚪𔗢⚪🞋⚪𔗢⚪ᔓᔕⓄꗳ✤ᗯᗩᴥᗱᗴ⚪𖣠/𖣠⚪ᙏᗩᴥꗳᙁⓄᗯ⚪𔗢⚪🞋⚪𔗢⚪ᗯⓄᙁꗳᴥᗩᙏ⚪𖣠/𖣠⚪ᗩᑐᑕꖴ✤ᗩᙏᗱᗴ옷✤ᗩᙏ⚪𔗢⚪🞋⚪𔗢⚪ᙏᗩ✤옷ᗱᗴᙏᗩ✤ꖴᑐᑕᗩ⚪𖣠/ᗺИ.𖣠⚪ᗱᗴᙁᑐᑕᴥꖴᑎ¤ᔓᔕ▢ᴥᗩᙁⓄߦ𖥤⚪𔗢⚪🞋⚪𔗢⚪𖥤ߦⓄᙁᗩᴥ▢ᔓᔕ¤ᑎꖴᴥᑐᑕᙁᗱᗴ⚪𖣠.NB

3067 lines
140 KiB
Mathematica

(* Content-type: application/vnd.wolfram.mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
(* CreatedBy='Mathematica 12.2' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
NotebookDataLength[ 139864, 3058]
NotebookOptionsPosition[ 138695, 3029]
NotebookOutlinePosition[ 139580, 3055]
CellTagsIndexPosition[ 139537, 3052]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[{
RowBox[{"ClearAll", "[",
RowBox[{"iCurvaturePlotHelper", ",", " ", "CurvaturePlot"}], "]"}], "\n",
RowBox[{
RowBox[{"iCurvaturePlotHelper", "[",
RowBox[{
RowBox[{"f_", "?",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"Head", "[", "#", "]"}], " ", "=!=", " ", "List"}], " ",
"&"}], ")"}]}], ",", " ",
RowBox[{"{",
RowBox[{"t_", ",", " ", "tmin_", ",", " ", "tmax_"}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"x0_", ",", " ", "y0_"}], "}"}], ",", " ", "\[Theta]0_"}],
"}"}], ",", " ",
RowBox[{"opts", " ", ":", " ",
RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], " ", ":=", " ",
RowBox[{"Module", "[",
RowBox[{
RowBox[{"{",
RowBox[{
"sol", ",", " ", "\[Theta]", ",", " ", "x", ",", " ", "y", ",", " ",
"if"}], "}"}], ",", "\n", " ",
RowBox[{
RowBox[{"sol", " ", "=", " ",
RowBox[{"NDSolve", "[",
RowBox[{
RowBox[{"{", "\n", " ",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"\[Theta]", "'"}], "[", "t", "]"}], " ", "==", " ", "f"}],
",", "\n", " ",
RowBox[{
RowBox[{
RowBox[{"x", "'"}], "[", "t", "]"}], " ", "==", " ",
RowBox[{"Cos", "[",
RowBox[{"\[Theta]", "[", "t", "]"}], "]"}]}], ",", "\n", " ",
RowBox[{
RowBox[{
RowBox[{"y", "'"}], "[", "t", "]"}], " ", "==", " ",
RowBox[{"Sin", "[",
RowBox[{"\[Theta]", "[", "t", "]"}], "]"}]}], ",", "\n", " ",
RowBox[{
RowBox[{"\[Theta]", "[", "tmin", "]"}], " ", "==", " ",
"\[Theta]0"}], ",", "\n", " ",
RowBox[{
RowBox[{"x", "[", "tmin", "]"}], " ", "==", " ", "x0"}], ",", "\n",
" ",
RowBox[{
RowBox[{"y", "[", "tmin", "]"}], " ", "==", " ", "y0"}]}], "\n",
" ", "}"}], ",", " ",
RowBox[{"{",
RowBox[{"x", ",", " ", "y"}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{"t", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",", " ",
"opts"}], "]"}]}], ";", "\n", " ",
RowBox[{"if", " ", "=", " ",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"x", "[", "#", "]"}], ",", " ",
RowBox[{"y", "[", "#", "]"}]}], "}"}], " ", "&"}], " ", "/.", " ",
RowBox[{"First", "[", "sol", "]"}]}]}], ";", "\n", " ", "if"}]}],
"\n", " ", "]"}]}], "\n",
RowBox[{
RowBox[{"CurvaturePlot", "[",
RowBox[{"f_", ",", " ",
RowBox[{"{",
RowBox[{"t_", ",", " ", "tmin_", ",", " ", "tmax_"}], "}"}], ",", " ",
RowBox[{"opts", " ", ":", " ",
RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], " ", ":=", " ",
RowBox[{"CurvaturePlot", "[",
RowBox[{"f", ",", " ",
RowBox[{"{",
RowBox[{"t", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"0", ",", " ", "0"}], "}"}], ",", " ", "0"}], "}"}], ",", " ",
"opts"}], "]"}]}], "\n",
RowBox[{
RowBox[{"CurvaturePlot", "[",
RowBox[{"f_", ",", " ",
RowBox[{"{",
RowBox[{"t_", ",", " ", "tmin_", ",", " ", "tmax_"}], "}"}], ",", " ",
RowBox[{"p", " ", ":", " ",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"x0_", ",", " ", "y0_"}], "}"}], ",", " ", "\[Theta]0_"}],
"}"}]}], ",", " ",
RowBox[{"opts", " ", ":", " ",
RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], " ", ":=", " ",
RowBox[{"Module", "[",
RowBox[{
RowBox[{"{",
RowBox[{
"\[Theta]", ",", " ", "x", ",", " ", "y", ",", " ", "sol", ",", " ",
"rlsplot", ",", " ", "rlsndsolve", ",", " ", "if", ",", " ", "ifs"}],
"}"}], ",", "\n", " ",
RowBox[{
RowBox[{"rlsplot", " ", "=", " ",
RowBox[{"FilterRules", "[",
RowBox[{
RowBox[{"{", "opts", "}"}], ",", " ",
RowBox[{"Options", "[", "ParametricPlot", "]"}]}], "]"}]}], ";", "\n",
" ",
RowBox[{"rlsndsolve", " ", "=", " ",
RowBox[{"FilterRules", "[",
RowBox[{
RowBox[{"{", "opts", "}"}], ",", " ",
RowBox[{"Options", "[", "NDSolve", "]"}]}], "]"}]}], ";", "\n", " ",
RowBox[{"If", "[",
RowBox[{
RowBox[{
RowBox[{"Head", "[", "f", "]"}], " ", "===", " ", "List"}], ",", "\n",
" ",
RowBox[{
RowBox[{"ifs", " ", "=", " ",
RowBox[{
RowBox[{
RowBox[{"iCurvaturePlotHelper", "[",
RowBox[{"#", ",", " ",
RowBox[{"{",
RowBox[{"t", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",",
" ", "p", ",", " ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsndsolve"}], ")"}]}]}],
"]"}], " ", "&"}], " ", "/@", " ", "f"}]}], ";", "\n", " ",
RowBox[{"ParametricPlot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{
RowBox[{"#", "[", "tplot", "]"}], " ", "&"}], " ", "/@", " ",
"ifs"}], "]"}], ",", " ",
RowBox[{"{",
RowBox[{"tplot", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",",
" ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsplot"}], ")"}]}]}],
"]"}]}], "\n", " ", ",", "\n", " ",
RowBox[{
RowBox[{"if", " ", "=", " ",
RowBox[{"iCurvaturePlotHelper", "[",
RowBox[{"f", ",", " ",
RowBox[{"{",
RowBox[{"t", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",",
" ", "p", ",", " ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsndsolve"}], ")"}]}]}],
"]"}]}], ";", "\n", " ",
RowBox[{"ParametricPlot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{"if", "[", "tplot", "]"}], "]"}], ",", " ",
RowBox[{"{",
RowBox[{"tplot", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",",
" ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsplot"}], ")"}]}]}],
"]"}]}]}], "\n", " ", "]"}]}]}], "\n", " ", "]"}]}]}], "Input",
TextAlignment->Center,
FontFamily->"Go Noto Current-Regular",
FontSize->10,
FontWeight->"Normal",
CellLabel->
"5/11/24 14:44:12 \
In[1]:=",ExpressionUUID->"670c0d5c-4772-49bb-b74f-ae6a69be9ed0"],
Cell[BoxData[
RowBox[{"\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"ariasD", "[", "0", "]"}], " ", "=", " ", "1"}], ";"}], "\n",
RowBox[{
RowBox[{
RowBox[{"ariasD", "[",
RowBox[{"n_Integer", "?", "Positive"}], "]"}], " ", ":=", " ",
RowBox[{
RowBox[{"ariasD", "[", "n", "]"}], " ", "=", " ",
RowBox[{
RowBox[{"Sum", "[",
RowBox[{
RowBox[{
RowBox[{"2", "^",
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{"k", " ",
RowBox[{"(",
RowBox[{"k", " ", "-", " ", "1"}], ")"}]}], " ", "-", " ",
RowBox[{"n", " ",
RowBox[{"(",
RowBox[{"n", " ", "-", " ", "1"}], ")"}]}]}], ")"}], "/",
"2"}], ")"}]}], " ",
RowBox[{
RowBox[{"ariasD", "[", "k", "]"}], "/",
RowBox[{
RowBox[{"(",
RowBox[{"n", " ", "-", " ", "k", " ", "+", " ", "1"}], ")"}],
"!"}]}]}], ",", " ",
RowBox[{"{",
RowBox[{"k", ",", " ", "0", ",", " ",
RowBox[{"n", " ", "-", " ", "1"}]}], "}"}]}], "]"}], "/",
RowBox[{"(",
RowBox[{
RowBox[{"2", "^", "n"}], " ", "-", " ", "1"}], ")"}]}]}]}], ";"}],
"\n",
RowBox[{
RowBox[{"iFabiusF", "[", "x_", "]"}], " ", ":=", " ",
RowBox[{"Module", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"prec", " ", "=", " ",
RowBox[{"Precision", "[", "x", "]"}]}], ",", " ", "n", ",", " ", "p",
",", " ", "q", ",", " ", "s", ",", " ", "tol", ",", " ", "w", ",",
" ", "y", ",", " ", "z"}], "}"}], ",", "\n", " ",
RowBox[{
RowBox[{"If", "[",
RowBox[{
RowBox[{"x", " ", "<", " ", "0"}], ",", " ",
RowBox[{"Return", "[",
RowBox[{"0", ",", " ", "Module"}], "]"}]}], "]"}], ";", " ",
RowBox[{"tol", " ", "=", " ",
RowBox[{"10", "^",
RowBox[{"(",
RowBox[{"-", "prec"}], ")"}]}]}], ";", "\n", " ",
RowBox[{"z", " ", "=", " ",
RowBox[{"SetPrecision", "[",
RowBox[{"x", ",", " ", "Infinity"}], "]"}]}], ";", " ",
RowBox[{"s", " ", "=", " ", "1"}], ";", " ",
RowBox[{"y", " ", "=", " ", "0"}], ";", "\n", " ",
RowBox[{"z", " ", "=", " ",
RowBox[{"If", "[",
RowBox[{
RowBox[{"0", " ", "<=", " ", "z", " ", "<=", " ", "2"}], ",", " ",
RowBox[{"1", " ", "-", " ",
RowBox[{"Abs", "[",
RowBox[{"1", " ", "-", " ", "z"}], "]"}]}], ",", "\n", " ",
RowBox[{
RowBox[{"q", " ", "=", " ",
RowBox[{"Quotient", "[",
RowBox[{"z", ",", " ", "2"}], "]"}]}], ";", "\n", " ",
RowBox[{"If", "[",
RowBox[{
RowBox[{
RowBox[{"ThueMorse", "[", "q", "]"}], " ", "==", " ", "1"}],
",", " ",
RowBox[{"s", " ", "=", " ",
RowBox[{"-", "1"}]}]}], "]"}], ";", "\n", " ",
RowBox[{"1", " ", "-", " ",
RowBox[{"Abs", "[",
RowBox[{"1", " ", "-", " ", "z", " ", "+", " ",
RowBox[{"2", " ", "q"}]}], "]"}]}]}]}], "]"}]}], ";", "\n",
" ",
RowBox[{"While", "[",
RowBox[{
RowBox[{"z", " ", ">", " ", "0"}], ",", "\n", " ",
RowBox[{
RowBox[{"n", " ", "=", " ",
RowBox[{"-",
RowBox[{"Floor", "[",
RowBox[{"RealExponent", "[",
RowBox[{"z", ",", " ", "2"}], "]"}], "]"}]}]}], ";", " ",
RowBox[{"p", " ", "=", " ",
RowBox[{"2", "^", "n"}]}], ";", "\n", " ",
RowBox[{"z", " ", "-=", " ",
RowBox[{"1", "/", "p"}]}], ";", " ",
RowBox[{"w", " ", "=", " ", "1"}], ";", "\n", " ",
RowBox[{"Do", "[",
RowBox[{
RowBox[{
RowBox[{"w", " ", "=", " ",
RowBox[{
RowBox[{"ariasD", "[", "m", "]"}], " ", "+", " ",
RowBox[{"p", " ", "z", " ",
RowBox[{"w", "/",
RowBox[{"(",
RowBox[{"n", " ", "-", " ", "m", " ", "+", " ", "1"}],
")"}]}]}]}]}], ";", " ",
RowBox[{"p", " ", "/=", " ", "2"}]}], ",", " ",
RowBox[{"{",
RowBox[{"m", ",", " ", "n"}], "}"}]}], "]"}], ";", "\n", " ",
RowBox[{"y", " ", "=", " ",
RowBox[{"w", " ", "-", " ", "y"}]}], ";", "\n", " ",
RowBox[{"If", "[",
RowBox[{
RowBox[{
RowBox[{"Abs", "[", "w", "]"}], " ", "<", " ",
RowBox[{
RowBox[{"Abs", "[", "y", "]"}], " ", "tol"}]}], ",", " ",
RowBox[{"Break", "[", "]"}]}], "]"}]}]}], "]"}], ";", "\n", " ",
RowBox[{"SetPrecision", "[",
RowBox[{
RowBox[{"s", " ",
RowBox[{"Abs", "[", "y", "]"}]}], ",", " ", "prec"}], "]"}]}]}],
"]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"FabiusF", "[", "Infinity", "]"}], " ", "=", " ",
RowBox[{"Interval", "[",
RowBox[{"{",
RowBox[{
RowBox[{"-", "1"}], ",", " ", "1"}], "}"}], "]"}]}], ";"}], "\n",
RowBox[{
RowBox[{
RowBox[{"FabiusF", "[",
RowBox[{"x_", "?", "NumberQ"}], "]"}], " ", "/;", " ",
RowBox[{"If", "[",
RowBox[{
RowBox[{
RowBox[{"Im", "[", "x", "]"}], " ", "==", " ", "0"}], ",", " ",
RowBox[{"TrueQ", "[",
RowBox[{
RowBox[{
RowBox[{"Composition", "[",
RowBox[{
RowBox[{
RowBox[{"BitAnd", "[",
RowBox[{"#", ",", " ",
RowBox[{"#", " ", "-", " ", "1"}]}], "]"}], " ", "&"}], ",",
" ", "Denominator"}], "]"}], "[", "x", "]"}], " ", "==", " ",
"0"}], "]"}], ",", " ", "False"}], "]"}]}], " ", ":=", " ",
RowBox[{"iFabiusF", "[", "x", "]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"Derivative", "[", "n_Integer", "]"}], "[", "FabiusF", "]"}],
" ", ":=", " ",
RowBox[{
RowBox[{
RowBox[{"2", "^",
RowBox[{"(",
RowBox[{"n", " ",
RowBox[{
RowBox[{"(",
RowBox[{"n", " ", "+", " ", "1"}], ")"}], "/", "2"}]}], ")"}]}],
" ",
RowBox[{"FabiusF", "[",
RowBox[{
RowBox[{"2", "^", "n"}], " ", "#"}], "]"}]}], " ", "&"}]}], "\n",
RowBox[{
RowBox[{"SetAttributes", "[",
RowBox[{"FabiusF", ",", " ",
RowBox[{"{",
RowBox[{"NumericFunction", ",", " ", "Listable"}], "}"}]}], "]"}],
";"}]}]}]], "Input",
FontFamily->"Go Noto Current-Regular",
FontSize->10,
FontWeight->"Normal",
CellLabel->
"5/11/24 14:44:12 \
In[5]:=",ExpressionUUID->"a4addeb7-2708-41df-8367-f56fd1c4c60d"],
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{
RowBox[{
RowBox[{"\:1513\:1515", "=",
RowBox[{"{",
RowBox[{
RowBox[{"PlotRange", "\[Rule]", " ", "All"}], ",",
RowBox[{"GridLines", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"Range", "[",
RowBox[{
RowBox[{"-", "16"}], ",", "16", ",",
RowBox[{"1", "/", "16"}]}], "]"}], ",",
RowBox[{"Range", "[",
RowBox[{
RowBox[{"-", "16"}], ",", "16", ",",
RowBox[{"1", "/", "16"}]}], "]"}]}], "}"}]}], ",",
RowBox[{"ImageSize", "\[Rule]", " ", "512"}], ",",
RowBox[{
RowBox[{"MaxRecursion", "\[Rule]", " ", "0"}], ";",
RowBox[{"PlotPoints", "\[Rule]", " ",
RowBox[{"1", "+",
RowBox[{"2", "^", "6"}]}]}]}], ",",
RowBox[{"WorkingPrecision", "\[Rule]", "10"}]}], "}"}]}], ";"}],
"\[IndentingNewLine]",
RowBox[{"(*",
RowBox[{
RowBox[{
RowBox[{"\:1450\:1455\:a5f3\:1450\:1455", "[", "X_", "]"}], ":=",
RowBox[{"{",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{"Cos", "[",
RowBox[{"4", "*", "X"}], "]"}]}], ")"}], "}"}]}], ";"}],
"*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"\:1450\:1455\:a5f3\:1450\:1455", "[", "X_", "]"}], ":=",
RowBox[{"{",
RowBox[{"(",
RowBox[{"Abs", "[",
RowBox[{"FabiusF", "[",
RowBox[{
RowBox[{"X", "/", "Pi"}], "*", "2"}], "]"}], "]"}], ")"}], "}"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"\:041f\:a5f3\:041f", "[", "X_", "]"}], ":=",
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{"4", "*", "1.625"}], "+",
RowBox[{"Abs", "[",
RowBox[{"FabiusF", "[",
RowBox[{
RowBox[{"X", "/", "Pi"}], "*", "4"}], "]"}], "]"}]}], ")"}], "/",
RowBox[{"(",
RowBox[{
RowBox[{"4", "*", ".65"}], "+", "1"}], ")"}]}]}], ";"}],
"\[IndentingNewLine]",
RowBox[{"(*",
RowBox[{
RowBox[{
RowBox[{"\:041f\:a5f3\:041f", "[", "X_", "]"}], ":=",
RowBox[{
RowBox[{"(",
RowBox[{"16", "-",
RowBox[{"Cos", "[",
RowBox[{"X", "*", "4"}], "]"}]}], ")"}], "/",
RowBox[{"(", "8.25", ")"}]}]}], ";"}], "*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\:1d25", "=",
RowBox[{"{",
RowBox[{"X", ",", "0", ",",
RowBox[{"4", "Pi"}]}], "}"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{"Show", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{"CurvaturePlot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{"\:1450\:1455\:a5f3\:1450\:1455", "[", "X", "]"}], "]"}], ",",
RowBox[{"Evaluate", "[", "\:1d25", "]"}], ",",
RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "]"}],
"\[IndentingNewLine]", ",", "\[IndentingNewLine]",
RowBox[{"Graphics", "[",
RowBox[{"PolarPlot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{"\:041f\:a5f3\:041f", "[", "X", "]"}], "]"}], ",",
RowBox[{"Evaluate", "[", "\:1d25", "]"}], ",",
RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "]"}], "]"}]}],
"\[IndentingNewLine]", "}"}], "\[IndentingNewLine]", ",",
"\[IndentingNewLine]",
RowBox[{"Evaluate", "[", "\:1513\:1515", "]"}]}], "\[IndentingNewLine]",
"]"}]}], "Input",
CellLabel->
"5/11/24 18:22:49 \
In[760]:=",ExpressionUUID->"371fe448-dfa1-4473-ae07-76c2482d0aa3"],
Cell[BoxData[
GraphicsBox[{{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxc2Hc8lf/7OHB7HimRkqRUQiR7nuslyWgobVRSEhVKUkmkEJJRVkRItiQk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"]]},
Annotation[#,
"Charting`Private`Tag$144066#1"]& ]}, {}}, {{{{}, {}}, {}, {{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
LineBox[CompressedData["
1:eJwsmXc41u8XxyUjmVFkZIWIFkr7kFEZRRFllZCMBpHVQMpK+EYhITPZZBU3
WWXvvff22DzPR3531/X7/tP1uh7fz3Pf57zPOe/zeYRMHl4zo6aiohLeSUX1
799T/sMn/YcJoPr/fwOhbWRPzN4TSaHBTfYQ6ZItb4P5SlSh8bsmT9C68Han
EmZ1Nws0bBgAD2T99XZivrZT3NGhKRhKPC9JFg8R8Gc8sZBQCQcvHu1XZpjv
VzoW5BtGAaXd6B55kAD7jzal01wxUE0b1f0cs+dRnkX2pjhg3e0/uzhAgPAS
UX7ILxGU36ek38DMSNfx57TKNxCEuwpJ/QR83D3x8SRVKli4/6yY7SMgLNpv
kd0wHURPsD0RwtzvSY+oCjLghJGGj3IvARYxN6RGObPA8pvY+dvdBGxrNboY
0PAdDEpiE3S7CHgDJvdvHMoFB7S5S6GTgJFPe/jYffJA9LPRgZk2AsqqVMMt
FX+A5HVGxZxGAgzS/U613SqGr7k+UpoNBLwQSr28h6EEZh86UwbrCBD4mDWl
lVsCUxbytAvVBERQIg5WcpSCyOXbBe3lBLgkiqsX1ZSD6WslX7UyAlKlTepo
XSrAhmHvatEvAryK56i1JSrhvwUV50RE4HNM9Ox8/RsM/ebORucTQH3q6iSH
fDW81mzrkMojYMAzYrRkDvNSTArKIaBW6X2IZ0QNsDNKv/qbRcAnds2dupRa
uJNPK7SWSgCvvfnbYwYNsOe093RTCgHExW6/rawGICl45fxIJmD84pGsQcZG
CCJ5bmR8I8BPIfpg591GyKy6y5eTRMBkAQvP+I9GkBK0fPr7KwHaSSyxTLub
4JzW3euTiVg/9/aOqVo3QZGMnLluAgGC1hFTe/Y1Q4kR3VhsPAEK9F5/Yu2b
4Wysmss2zNKOL0I165pBPKzxkE0cAQuFnTd5DrSApgHL5ngsAeLLdLTbX7bA
U+HlwceYmVTMAxk7W8B8W07DTswNxTKLstKt8GTtdkFmDM6nqMPel76tAM8E
/e9j9p/9szQ70gpvV3//PYh5UXxHPYNKG3TR6VZtfiHggQJjoWZCG8wHZHcM
Ys4+WzBTuqMdzCJgVzvm8MemfqaW7WBMqrnViznhWvEfmZp2mMn/L3wZs/Hu
9kbpwx3QKNmWx4efLyPwvcEkoANGLIhgHcwnWT+SyhY7IE+LiSMS88CUk94t
nU5gSHbbuYG5RGlWQiSvEwjNmit38X1sPjg/38/bBYMDKQm9mBs1v5nefN4F
hSxf6u/h+IR+Hu+pGOyC9C2Dx//i9zVcus1auRtUKvJFkzDnB+yTVP/aDV70
MrZ3cPyzeDgjzZh7wNt3z28xnB8JB7We/Mc9QGUl/2oDM3UTq+3lth446Vlz
tgznt6J6RIcvqheEbv2X2Ir18qFKjTXkRD/Utbwvm00jIO7j0GTVp35gHLV/
zJiB9azYnhCxbQCGMwn7a1hvnO9faphbDIA1IV09lUtAq93OmCtyg3CUXsmI
EeuX9d33ZA2rQaj0DOU/UIDPw+ulfi9yECY9Dy+o/iQgsduMdYJ+CI69O2Wl
WYjr+7rXX42zQ7Ds/WtIrYgAsTALvppHQzCllJQpUEzA9savkixdQ/BoV47f
CuZNs4KsBpZh2KFuY/2zhIDpjYfhiYrDEChyRNIO1xe7p41EsOMwcOWg9L2l
BMTfk4gPThkGU4/YlW+YM4x2GH0dGgaaqA0aKVyfMX6yMfVcI2Ayl7P5ATMi
7a+n1xgBGtZrHPOYMy3yFbXcR4DHuuXtUVzfbps7rL/ljsCCce8ffczOpayF
e2ZHQGrW6eQjzFmVGjnvhEehtpbK2AZzeYTJ0F69UYgPTG67hrlX1LE9/e0o
5B6KUhPETCadlNMtHYWzjwxcWvH3HXp9NZVxYxQiiqOlbTGff393qfbwGITt
GVFdxecv6UoqjzAdg2Tie8IdzPMyutPOYWPguU1ONhvfP6lp6ohZwxgUjfoN
zOL4+IY6mhjQjYPf6fZIFsyXaCW1b58dB9+Uj+acOJ6tFI72R7bjcCKhU4IW
96MvPB6FbxPHQaKjqa8L50eDpbQzp28caiKp01Nw/k4aKVFr75oAlaaBEMsf
BPw0T3enKE7gOhX3+IL7FdP7QysWXyfgzeNSh31YH5mBxuGHeyagtF1L3/07
Ae0uxVR/WSYhxzG1mCGTgD0xhUb5TyZh+EULj1Q6Ae+nrq3FJkzCifZDe05i
fd5bDPMN7ZoEd+sbKkxYv8c28wI/yU8BY8c2r89RBJwVLKvbYpqGnzE0HPSf
cT5mVs5IyE+DZNPn1BvhBMQW7+LRs5uGrxfONiQGExBwZflUaec0sAWb7UoK
IiCNo6Njk2kGqpledr17h+ehSu+X0/IzcP2k/jqtN+4PSX9zc+Jn4OY3mfT3
ngQUi+zoXeqcAS7mjHwadwJ82LqHDzPPgqJr7mVPZ5z/Rp3SULtZeFJpWjt/
H/f71ruSAvJzWOcu0Y/MCNhSobCJ283B6zeajdW38flH3WxF4ufgmlv2ALMu
Ac8M/OgWGedB/O8BjiUt3M9bfG8Vn5+H9PffL6ap4+dNcD5wfTwP/rwqLl8V
sJ48H07kts2DmnLSxOgZ3B980g6G0ZBgxp755OpxAppjNi7V7CPBNROhzHcS
BFy+a36VQZMEv35lHA5mwf2HbndvUxYJbkiWehnTE/CdOPflUw3+XHDYc2OL
Aq+quue1R0ngdsHUKJxEgfqBkml/zgUYJpMsguop4JJg7MDjuAALSF61tYIC
/WKzN1UDFiDs245944UU8JOXYjVLXIDrimk7Hb9RQDTlkOfNjgXQfzQrcf0V
BfJGxq4dl1uE7ghGR2VnCrSnN4efvbIINxtI1QyPKGDIfWH7IbNF2LPy+jCD
PgWoOu5vVgYtwk/rtU/jhymQbGpu1DezCPxmtZ0P9lOg6/GGgdj2JfjG3fjm
DxcF7rzul9DhXgKNVHER8hYZSiMnDpkrL0GmXp+fZh0ZnJUDRDU/LQEz24SJ
SwkZ7rLP//6dsQQVFQ42rtlkkPxye16scgnWntVd2R5GhnjJe3/+W1iCpszv
xPG7ZGAX+8girbwMo3mhK91zGyC6+/lS1vgyQJyIL+rfgMeHUoxCKcsQ2T7c
7NmwAWf+PLe2YF2BkqpxqqKMDbhoLXOq/MQK5AxLkJdtN+CY8dKn169WgIkv
xu/EwjpU7qFaCeZbhQ0+aFYeXAPjc4deRimsgY1/nql23Rq0axlK0eiswZOa
P3LXf6yBx8HblnoWa7CS+6JVKHgNzKrgfpP/GgQ/y9GiubQGFiXMrIzda0AV
ISgwnrQKr3KSHrg9WofLH5h3/Q1ZhYEgL7sx93X4eztHmtZjFXho+S+dDl6H
iOMa1MO3VoHynKEsOX8djGNVmZsZVoG9J+RY6rYNqA68O8dhugJXS/ZoOL7F
7KWhu3FlBeIYMn86fd6Ak+3B+RWnVkBlzz06wzR8z/vU1Fw4Dn4RVmVlOC48
WnPuz/KWgZ/fLXNjFxlEAt65B31ZBqv9jrVTQmQwS71G7+u3DJx6DZXZx8iw
5fq3VOT2MmQXxXXVaZKhUFRJnES7DKV80ZabfmS4Hk1R4ZxfgrQ3rQ8/hJOB
zLPrxr6OJVjJuXWGOokMLkceUmq/LoH1QTa2ixVkqJGRsy5Qw59/Ou/vQpBh
MyynY857EZ7d+LPjsDEFZF9Vf+62XQTNnxYPW+5TYE2b0T5dfxEG1XUItScU
UDSMectxaBGSpMU6U7woUO6uI/C7bgGipSsm5NIoENefwPU3B9cB00aNSR4F
lE91xfBHLsCMm7ufYQkFjCUK2wUfLoDq618Sv5qwbt88ui7LsgBG7c/tVZYo
cMNu5cWfFRJ45zlmz5Ep0HDz0Dv1XhIIhVQNm1MTkPO53JU/mQTCbVdZfrNh
39RB/fLBfyTYpyL+LYOLgBaKTFqqMwkyuYpdrPlxX711SZj6Mgl6fJbCdSUJ
+M8m6yfnURJIn8im8j5GAOlrw2F+LhIY2LL9eitHwGml7ZNsVfNw4GQm425F
Am709n0ppJqHin4LS3E97OtC9qWcrZsDs/ZfOxgM8R6h/WcsOXwO913DPaV3
8N8f5X5sfmIOPjyxqKywJMBOar9T5vY5OGsns5f9IfaV/IYCKw2zYFo7c+i0
HQHXJVec71rNwpfneWwiLgQceWTwM/DkLFxuEwoef47ncLFj5g/aWTj+N0zN
F/fhVYk37vRRM8B4YzLHAfft2oba+IiWaTgZw2m4jPt+cteLrN/R06BDy6rc
8BH7jESG72sPpmFvS49nEJ4TR7dSA0wZpmHFv/tODZ4r177bFsW0TcH8a0Ma
Zezj9rRSe0/GTEGA3yJzPPZpuvk8cz7np6C0MKhJGM+l+2z6t8cZp+DSUc2D
eDjD1K6fguqdeI6NuO9XxnPMNXI89Qiec9v3nUxlwXPvXD7faqrCJMz5ZLk1
YV/F/uCbmxzrJFjsSH72Es/J4ndZHGZJE3CE7ohUOJ6re7atRjbbTcDKU6ZX
othXnSEE6zXOTYDJ1xKbEDyHI4v2NDTTTcAnBcHlWTynZfY5NZo1jAPDzwkh
KeyrRHt+bqMJG4eO/S3btPCc/96v9i717jhUyPz5bIB9AEXNMdHs0DhU21Ru
v4p9QuNBdxeJtTEILJg/I459xdaCkBy5eAyS5GSvT2BWWVNg7PAZg8MjGrrv
sA9RCrhxsFR7DCTT/W7uw77FKnKs6gf/GNzYt+1xEOap7XYSvyZG8Z50oXAO
s3E6p09b5igsGvy1kMY+SPUv/ekN11FI+P4m2RCzbTNH4MGLoxD79EXDP19V
SvN40XLXKPQl/Dpi/e/vrXfWFnRjn3Yk56Qm5tiRZ+E88SNQ3HT2wT7M9CSf
YZ9HI0BvN3+v5Z+v22l8nOnMCOw5J9ZkjzmNxCoZSTuC99cLD6gxC2k03VNq
GAYjtnB2F3yflxJbIUTYMHArcScN4PueXCVZ/jYbhvDhDzKymFsXzoUnHh0G
i4Pnix1wvAoCtTcTK4aAPRgcanF806V74qoCh2C9bHjHCI5/hI/g++2GQ/D7
zD7rOeyr0jQz6IqWBuHiuYqqYZw/Fa87PfJoEHiPZdxpxPm1yu7+2OszCHum
gzZzsa8efejJdk94EN60H/C1x75q4r3k4d/XBiDhs6JQO9aTmsxSrLjAAHRL
7VnLwL69iixprdHeD48uo/sB2FdRr5u/2GDoh4tLX+UNsR4PGOUpJsX0QYwE
Ze8VvCfWX7/S/+FcH5zbNvroItbvodmT0xK2vVBT/aRfF+u7i77taB1TL7BK
y489wnth2Av+jdSEHriTvUctBO8Z4yxv+qsv9MDBTNbm33gvmfzDZCLS1w2q
Wb6HGTAbtzwbynXqhtMLNBu6eI/ZKcKf6LmnG6YYr+Z/x/V0X8R20C+jC554
UQ0JY2Y+kh9fo9EFq2KJTZF4T3olUkMoTnXC+ef+nVKYq465dSy87oSDYXIn
qnB9NmmMCrXu74Rl3gVeR8zVLFdzZ4o7gInNNvsEZh+PW4/kjDog6GWUMB1m
/VFNwWxKO5ySnn41hvc8dZqVD3dC28FVWXjt316YLV0Sf16uHeYv1P/XhTlD
MIGOo70N/ouQJc1izr34dpP9aRsw8s3uYMfPm6OY3j/H1QbrnbdWVDDXyr45
EJjbCjI2V2r8ML/KT9/NrNcKdtZEzDBmi8vlTOnrLaD2NyZQDd/n9Sr/lGNo
C4Sl+iSWYZ7RCntlfroFtCxc16/geEhdMEx/2t0MZzR/+k5h3s389Ow312aY
s3lp+gHHk+btr4UtvIfn/PR01sHxrvJuD3yCmiDmkm2eCM4P2Ve3jf5OE6QH
2m/Q4PwNn4p6lEfdBJuP5elXMctJsitZqzTChmztVQacfzGfJwXWEw3A5Fn2
4yDWhy358nZPnwYoYrC8oY/1U5/uHTcXUQ8/LKnCxrG+9B1TxewzaiDY1d8r
JIcATTal8S+r1XDrd7kcH+5fMzraQZNnqiFAyEwmCev559s6qdyKP7Dv4veg
LtyvBBq/NLL2VkBMjqmDNa6/8mc/0ouFK+DJftWru3E9R+91ueloUQ56l+P3
/6jAe8SXMJmVpVLYZZW6SVVFwNWZhj3EzhLQdTp3Ur0B74V0XC/yNYthafZy
RVUjATWXkoPHpBB0mjVQzjdjPUzSJ2cq/oScJWs5mjZ83wv2Qgz1BWDQ1KV5
vR37+B/GStq38sE55NjZ9x14fjYePFr5KAfsGjycJrqwPrsf1s1RssFVlMWe
3E3AN1PuHzvfZEGG9p9gSg8BL0yltHjZM0HvQO+d6V4CZAU8WYUi0uHQfna7
P30EmLBKHzilmQpS79Ucgvvx3sVxQnyf+TcYS7I8eHUA6/mLee68SyJkMAca
rWKm5RPwygyMg0vnRuZ9BnG/UOe5ey/hCwRsZ69kGiKgSMr9vKBzJKQpVrS6
YHacZD5pGBcKl8cO7O7A/NYl39m74T/4ROf5XGiYAAexyFitNV/g8H3IoYdZ
eKqe67nGS4g2sW9ywZzlIpHwwt8ERBuf/PDD/I3f4CAttzXq0TOp88G8/3XN
ocfjbujXnkh6R8wHVL9PhPz2Q9ZZp3q1MWuJxR1oa/kPMZ7WvPrv+2i7/obp
KIeiDWUFo158ntpjH/Irvn9Gj8TFGb0xc2ymnOTg+II8G4v1RDAvf5LqPlkd
i2yYstXT8H37fBjKrnkkILMfMgsSmIekXF2NzyQhy9zCG+9xfMYNF8MNl5LR
iUvjwXM4nk3tjbVq39KQ8ZRI40nMIM5q/f5YBnq90+mEHY7/h7O3G53eZqKi
oEGqzzg/uR4+kTqTWci+xcQpH+eP9eIlrvmoHFS1pTBUivPNeElJP5nIRTX1
RalZnf/2ZFolY718xFP3aTAY6yPytn9VPOtPJH+cul0G64nNd2prtKgY7fep
TJ7EemQv3rr5xboEmWRrD72oJ4CvzijfgOcXmhN7+Y6ljoANh3W6evtStMOM
mo27moDEsc36SqkKpO+X4L6J55Ow5we/wK4KdF7hu7Atro/z1Vu/Tbwq0Yfe
5JExPH8sjffKC4/8Rl8VTeJa8LwxEi9OvPipGqnle9V34/orYWw88UK1Bu0v
tzlkjeeH6n+kl7XrNeic6+hRGlyvkf6mSrk6dWhI82XAFexHdjwb09alqUfC
Ai9eU+P5YhTafJkrqx51P3K7VoLr3c/9vuBLrwbkquXEbIL7gZ/m03XOgQbk
0MVxQBn3i30nsx/8kmtEa9VOVsdxP6HjO/3V410j4vM0uyzzDddjjV6V/ngj
ajshIAh4vphGFsyrQRNST3sHN3E/6vwYckznQxOK/m0+4Yb718Bhc43ci80o
k98zYAv3u2+yzKfYo5qRCm9UtTbmotvMZj7rzYhv8PvOfNwfJz7y1QhqtSA2
Wh0tKcyMR1xN2762oP3ZqeGpuL/+ZK4TTKZuRR91rw4A5iJ99oUv+q3oz++h
XQO4P3uQXEp/ZLeirokQwXeYBeZFPNeY21C4uQxFHXPhlaTxoQdtiN6IbXQP
5m9SpVEb9W2IxlZwBwnPB+29cT1nj7Wj0yxn1bsxe+dsVqQEtSOW9LKP/+aL
nk29j8ZyO5rnfNYygvnlE6tr+250IPnaN6PU+HnB8W0q/HkdqGYxL/0Y5nL5
Hn8tnk50wjBs72PM+2/IaeS5diJk/JJSjHnn+uXP1/s70csFtWNC/94rIptg
kQtd6P3nea9AzE5OTaek4rpQb1RG+S4cj8Rjrh5WO7pRzY6aT9GYNYVndYet
ulGUzmSmPI5nT9LtqhcyPWggFpqS8DyJvpaJ4j70oNRjO8qf/Jv3SnTTdEQP
qhs+/0cN5+vPkf13Xct70dMuOco+nN/wAaFwOf1+JOnOa3EqDc8bsoty66VB
RHcgLFgd67G9LTc733UQ6dyumbLE86Cg5MW9vPRBhLy+0rzC/ufN3M1r1NxD
KGIiwiAazwf3o1nX1TWGkHF74I4Y7J+28TVKproNoSuOSzphWO8xFglxOVND
SK3dsNYU+1l5abs+fYFhxK/11f04ro/dWT0CnNrDyO3g6PIqZkUes8wRr2Hk
fZSFJhH7ucN3BwcqCodR9f7ZzxdxfdGVlpB/LA4jp2PJ5S2YaWJjdUoPjKBQ
OwXfK7gec4uqr/QYjCBvxo+c2ZgDIqbU6IJGENPOwi80eF6RVA/+lK8cQWkd
Wi8Ac/7P5L2+xAiK8lZhM/33uceO0ZFjo0j1lF/tY8wytvzpGvdGkb6+oqIF
ZoW+47vLP42ii9TzbBcxKx5dyFFtGkW7N59NMGM+S3l8qY9+DNlqa/r9xN/v
b+Hm/uLcGBpOMKy9hll+14zYYbsx1FP7wKsBn9+yetvfycQx1JXxLeY4Zgv3
zJbMvjGkE1nH6I7vP8Ik6+K1exxtcUhkfsfx6TV4VGqpOo5MD73wacDxrHTu
enHz5TiSv/vcuwn72753Rzy0c8ZRrs+92B84/rfMWKL0Z8bRyEvfBl+cn6FW
JZc2/glklNrw5SbOX/Y5nWB9rQnELeCXuAv7XedTJJJHzgT628giJY/1cFGc
alxscgL5o7UPObgfcawnezTzTiJ364PsXHgfyjr/gOay2yRa9fVeC8b+llkq
/PWu7El02D3kVDbW1wEh1omhsUnUaCQp+xP3nz+cLyUj1afQpcT98V5YnyJe
i4fs9k4jeUrsASa835G9xe86qk2j5cPxfI8jCGjOtupyfz6Npjo8xQvD8P5w
p+FD7Mg02k8lIbcD74/ELm65Aq4ZlOkps0gbhP1YwsnqRtUZJC0ve2LCH5+3
7XQtdcYMiswWU9P1wv3QisTBMzKDZGvtXwy9IoCTi5PmCNcsii/bTX/VjQDP
w7msGs9m0UqMccRvJzwPr/oYnrg8h2aiLHxE7+N45iWWcbnOod9pMXtjTAlY
t6x3mUmdQzzkbA6KMQFr6QzylrvnkZKo7cqJG3hfPHPWju3iPDJhvC/DrUWA
l+Z1xVineTQyeONtkxruR9dou/z75lFU17hJpTyu/+bwG493kFBNweVr285g
f3do1753QiTEXMJxifU4vs+Bvfox10kIdpZ7xYrj/f6grjRvLgnFj/Y2xTDj
/i6o9a6hnoSOm9getKHD+80HPZcnEyRkVDB2h26LAu7vXjV4ci8gZbaXDxPm
KTCzWZxT7LyAOrb/xx9VR4HQ5m+fe4IWkGs0O/9IOQU6uR7YDCctoBJkfXPt
JwVKmZxupXctIBWPnnXfJApIDDyUP39qEb3y/Pz3sQcFIqb4DKQ1F9ENXuOW
e04UCOpbzmC9t4g6zJnXjzykgJxCed+r94vIXeNZo9wtCoi5PGPVmltExcYS
bgcPU+Dg7++Nr2mWUE4P/fNcYXxe1gKPGJ4l9EOfOLaXiwJulV/zA1SW0LZm
uW86W2SIbIuqko1YQsEqvkx/asmQW5d9/VPmEto6vVJNKSZDdKDQm8nKJXQo
+fJ22mwyLB0zX5RdXEI3Ow7RRoSSgbYo43SQ8jJauju7sGxChqbs27dDx5eR
INc6DWluA2yDAjkeUZbRauJfrv7+DWha6vY+yrqCOu4K7sho2IA19+ZXj06s
IP8zPRtUmRtwmVb604bHCspxphW4b7cBFoazxZ94VxGzyCcm9sV1+Brt9LQH
1pAjcWV2c2gNHOkmpWWvr6GO95JbPA1r0BT/LsTVfA1VGnPeEy9cg9AKI5F+
P/z3FX5Wuz+swT5rl43JjjU03h4UL626Bu0xkkoMD9bRQZea6oCUVTDS3Bq/
+3IdDYa8+i83dBWOJtq9SAlaR2xjwol1nqvgqDq9zpi7jq5TCxfVGK7CG45t
0eN/1xHzUV++LaZVOFL57K2tzwYyP/lgtPbeClw8XeJpE76B9r9jYqm4tgJ+
Hg5Zqskb6KqmgE38uRVQMrpwI6F2AwVx/rXYx7EC/lfraqpYyEiXef1iy89l
qDliE5LHT0aUsOitzfhlEFF0THtxmIy6v+S6MgYug2Sw1I1gDTKKDH85UW+6
DJxD+58We5PR0Xfbny3tXIboy4ZFtz6S0dpNp2NHl5fAtdb/TEU8GblN9NNf
6V2Cv+2sP5hLyYhX/06ZVNoSvO/oslbfICPBz5aST7WWQNeatlPEgIL+q9Pb
ax2wCO5O8LHBnIKKihfyHjktQnf+k3qNxxTUEYccDE0WQf1j1uoPTwoq7bRy
J8ksAhWLmJNJMgXlB+c8oW1bgNdJKpeCv1NQBWEYer1oAd9vv9LHIgraxu6i
6xe/ANolrJdYGiiIr+bLepHDAqj0M9TmkSjISfj+ERnOBfB9due01ToFaV10
tR3YJEEA1Zu62S38uU7+G5dREqyyyGiZshBIobFW4Vk2CWqsTrbp7SEQO60J
zWg4CSxEH6Tx8xHoeYpGy1kPEhid65AQlCAQF38DP9IiwVsagxaDIwSSTLk+
OXWSBF/peUesjxNIev2zMYMgCaoXsuoZFAh03VcZLvTMg9bqB2a1GwRSvyBA
F8UxD/ummwpO6BNI5PlbBdXBOdC54l2M+xp6+C3nzGjqHPDeu8G95z6BXDVk
SIuX50BBuIbdyoZAv5b6jS245qDioX5GxGMCHXVuXW8emYXuuNizn5wItHNW
sSPoxSxMSrP33H9GoJ/vc79OqM9CWQWLJ5cbgZo1nuaf4pmFokv3dTm9CNTv
uWbQlD0DxVYMg3nvCdR9fP8sMTkNM39EEiI+EMhgG/du9dxpyL9kmmgRRqCs
SIbmz6+m4V00Q2FWJIH+nB8XvyYwDQFtXwZkvxDo2FMP/uyZKQgSMTX+HEug
fYd5LfkKpuC3adxfya8Ear+8g4NaZwoK03dWaH4j0LekkWsvhafg/hUOOeMU
Alnb30ujI02CEzNzz6kMAv1AY4tSvpNw/sH9m3RZBHpTJn+rVm8SLHa7cRZm
48+vvB9yEJuE2eLL7ydz8XnKGXeOlUyAfUJA27N8Akkgq9onvhNwJtHn93oB
gXZ1+rGy6kyAOhe7/a2fBBI6ILCVzT8BFRZ5Y18KcXyO3qsynxiHUJnL4k1F
BCLfSYkUyRyHGCE7pQlEIMqDleQ5l3HY/ZSsPFpMIJYtccFy5XGYC1iX+1NC
oAJ71QOJrONwsahU9P0vAg0pGZM+dI7B9tcUXpVSfJ6XCknvY8ag7l2bRD9m
9YKPnp9txqB86eFd4zJ8flvvnO9yY5Db1DZcgTnvKa9D17YxiIzuqt9Tjllv
Lw1zzSgwh/bpqWP2ON6QqBEyCvE825El5hJRhZxPt0dBMCn2OvZVqFvW3Jt8
cBSW0yacb2M+ShT43FsZATaGnSknMcf/fHl4BI2AWKOtAxl/3zdh3uVHPiPA
/ZffMR7z3oAoMxadEeCzmrx3DjPI6HEVCozAyptTbMX4/H4fK+OfTQ1DjRmf
5hHMog4sBZrfh2FDeZ7HD99f3Xvt74mXw+B0qtmhHccHvM9JHFMbhk1OQRd2
zFeDB0nAOQzXG5c1zuN4bgv/y2o6OAShOfNCBjjeTqRG+c/JQ1B4Q0bGBucD
sVmemX86BF3CRQIPcP6O7EzR62AZgkEGG//bP3A9CtxpfNw1CAPibEZqON9s
fH8KReIH4U/stluseTg/DncvdZ4bBLmi1wH2WE9/PC7n+D4YAL7itMqrmQQa
5HUM3jo9AJWP9IelsP7epJ0rCKAfAM8F78nlVALtWPnLuPdCP1RBVG9vEoHi
XlDoOpJ64czVK+skrG83wye2kcq98LPj1iQr5sC3YqdiBnpg+Tx6cSaRQByz
8juGXXog7wOVw5MEAg1Lsz004uqBb/ZnbH/E43gK2w7szuqGqoZ62l2YeR2n
smivdgNn9q8U+zicr7B7B45Od0ERdWzzJK6vX2NP7/z3pgtyN3LrbDAXP0m0
OyzSBZb+J8e2YSb3lhtSlXTCgG3+9fgYAqV/Zty1w6gTttktKetjjtzhYqdE
6YCvZRLDgpi3kyJNsj92QGpAh9oarmcm8Ts5N050wOQJuog+zBbf1BQPtrQD
SS9uoQ1z8cJk9yHbdqAupbAOYNY0ty6UYG8HKc3Fsg3MDxI+JmlltkHUqY0D
Ivj5X1hpXsVeawPhvdyaxpiFuKslhJZaIcwp//o3zM/v33Op+K8VyL0hl3bg
87c9StH9T7YVzvRKKDpgbhw1+fS6tQWclT10VjCrNj8TjXRogRPSb9964vi0
v2eu6eZqgZ7TzYtiOH6lp5dMz+Q3w50xhledmDn3haGft5rhv7cJshE4/su/
ZmKNiCawv6E89Rjnx+undpvA5yZ4ueuhsy7OH/KSZd6CJpi2TRLVxv3qQLXq
JfZXjXD1c85by2QCVa4f/qgo1gj22tr3A3D/KmWvfv32dwPMzpw4uSMdx/et
bbgZcwNM77q1+d93AnUeTdfePFILthwpd9lxv2KV0LgSZl8DjdqVFaFYn8+i
REa1flSDHJlXDGE9bx4VVqW7WAVBvPrGSrieuPu2t583rgSpNysc07jeWtVP
iljFVcB/UhdCA3E9z8tfcI6cLgclbYXbnb+xPppcRLgdyyBqSrhHuh6f/2KG
mWhgCRwUfS6a20D8268EzNuLYXtsweyxJgIxuuV0xuwrhuVYnTy6Vtwv1RSe
iGkXgoeu1A+jNgJtfHhy683AD2AwlLnwtZ1AFYrxD3qtC+CTyMdw9i4CpfKK
cN7zzAUWjsebR7oJFH6+81jYrhyo/NJBfa6HQKTKIfeSiGwQrLwucqqXQDxN
ecq9ElnAcXRhdn8frkcd5r7Z7xkQOrR7i8CcvFTUuKSQDvkaTQxl/XieNCm/
6Q9PgZLP3xodBwjkOGvfU5aVBNHcuRK8gwSqqec9F1qdANtEdRaTMDdYNRgZ
DcdC0ngOp/gQ1s+NFzs5KdFQmmXgE4T5Jsd1yVein8HOLlplCrNV192C39of
Idvf/dKRYQLdGbH12PQIguPhw/53MPOK5Qarm3sDrDzgdsMsplSgy+vtAq6q
OyfeYma+MPrlMKcWJFvHrXlhTnrQbZxs/RgVJc38sMMcKnlW1eadB/r1d0b2
Cmaln0cNnCz8UeaDPyZ7MX8qLd1fEPUeecovKDfh87Qxqa5JMoehkieJ/S6Y
qUVWed45RaITDWvSezBrN3BcINl+QfBhm8pnfN+dZ558YJGIQ68yIvdzYWYS
LNol1J+AIqyEe1/geLHbbZ0XC05CVyz2+HXgeE7z0PzkU0tBeapb14Uw359g
i3CjSkdCTjSmt3D86c/OX7DWz0AzqUrrHjhf97d2V2rkZCLvh1ojX3F+L7x1
yV6y+o5Yb3AS8Tj/hzY5XuVW5KDGILW9IZ0EOgfFtI+F8pB/nttLdayXvhxJ
3fK2AhTHUndYCuuNQ05w6blgMbqmR7W3Guux+6qQ18/aYnS3UCL9DtYrvaKV
w5pzCZqVFQhwqiGQlnb+U4vWX6g+JNbmQQWB7rXZyV/zKUf2v0sWR/B8Ov6y
njNYrgJtnBrKuoXrI7Mre713pAIt+LsVXMTzxbT6y/ob+I083i5aXsDz4drx
9CjrlSr0SUrSuBbXX9kul2GWmGq04PCKwxjXp46F1bdyzRrkf0X6XBj2GylL
Z587JdcirsPehGcarjeD92WfpBuQxwrHM0M8Hw49O2HS792A6sOfhSrgftDh
XGFwfLABiVkn10njfvFs/WtX5MlG5Dh0zOcY7id5bsZbAgGNyOGwwcHzeJ7w
L8RO5Yw3osPS2n/1cP+5EhCfawZNKLDLVaYA9yt5w62LrPNNSCdbfIoKs/ho
swjTxWbERoXcbuD+9kD+MKdoZDPSfDhH9wP3Q8GBam79tWZU7nP12eF//P68
eNrVFvRj9/nBdNw/v7fkHxdObEFlLvclLmCO+lAj/Z2qFdl+y7k0hPvxRtQT
5vs3W5Ffie2RQMzs9A0Z5zNbUWUnXfdlzFzOwgmIvQ2dMnpaxIHZLUEm3NKu
DY0eNvk1h/s/j4ZlnnxLG7qQ3FzXhdl46j9xxePtaOndrep2zKzKC7vtQtoR
64m+z6OYa9fY4hvX2tGNjylHaPDzEvvatt++2YEYzOpNZDB3tvZrC/zoQAZP
x3jsMPNROxWy7etEkrT2J0oxHywgGR5/0Yl0By3f7sf3SRcQ1PQf7ESPkgfm
/sMsdns6lk+pC6mzGfPvxvGo7BO7MxjfheaXHzfGYO5T8XXuZehGrGcPpVzA
8TxUbtGyy6YbBSpGKpEwS0QynXvR0I2Y42y5knH8Z5GMlZhsD1Kntwy0x/ND
ZuYkQf+xBwl715Qfxvkcu10l63q7F3Gc6Vziw/nuevrRl7W8Fw1RktP3YD1s
3/U4uk+iD/Fo3ZgQxvqp/cLBeXS5D+urDY5jfVHZ/JDMvNmPVH7qDGvgecL/
gPLwIepH7MqqMm+xXwktZeioUR5AP7mZXQWxXk9rJ77S4BhElio7uS5gPdNv
v5yxqDKIAqZqm42xHxbVKPTKdB5EEbla73zwfIn6L2vvy6FB1L9O+vse+6kH
9P4pfpxD6OJHKdsQ7IcF2ClxGapD6IM9la4T9mPyB4vFLmQNoaL5KTU9XE+6
knbXkseHkF/xzasS2M+92PlEUopvGE381TwxjTnj4WVKseYwkl9WGvqE51ew
Rjujpecwkpa+pHgO1+eO/UpfxQqGkX6Y4a1qzM/sWEVW54ZR97nx0yq4nocU
Ypra948gRQYephTM1+w32Kv1RpBJhTTDFma+Jw/U6t+OoOGoULczeP5JWftM
D/8aQQnPBjruYF7lybTesT6Cnvw2e/3PD586F3zt7KFRJPb0zZ5/fvmWMq3U
C5NRhLYPiahhZrq097+GD6MoaY+V2W7MiQclDh2tHUWMDT4fy/H3HePYmRRB
PYZcWq77G2GOMjlduvfkGNo8/kf4n5+PW1c/HW0zhpyyTc9cxGxz8W77iZgx
dMI5piwE3//J3aB7nR1jqOqCeVotjo+YLMMPL5ZxdIh8c34ax5Nfcz5GSWkc
DThqOi3geLuwiK4wOY8jWe+wC33Y/x6YLnMbTBtH74WnqCtxftKz+RoPDo2j
JiOKYBjOX9iTGNfnuyfQPTUJ7S2cbzulGW0lpwlk8V5HLxDrISWiXS7n2wQa
3x/9gRnrpVEiYuhY3wRKvpX2qQz74bTTwYvKipOop/y68hb2v1lbE9v67CeR
9mOBmf1YfzIZqQdfJE6irtXJnINYv+HUv7u7maeQ6leWj+K4/sIlh4iVjil0
5wZHXkoU9qufHlyoY5xGfnO/sng+4/yQ5QOTz0+jgws5ckkfsb8hGac4xk4j
rv+cw6uDsR7UBajN2qdRyMPyoKYgPF/ouh5o75xBQRz0lv5+BFpQPT168tEM
io6YqFDwxvf1CVmQjJlB2fz02e2eBHJPNt/H3zaDvMJ9xhOe4/g2gCLlzCzy
K1xPKXmA41WtludAP4fiXMpzH1sSaNTXilXh9Bw6/3LJddMMz9epNT8qmzkk
F13SE2tAoLv3HbxuNs2h28ava4t0/+1XnPIkmnkkoL4kmnEN70eTzwId5OZR
wkBVA+8l7IcOFoP6p3n0rln5bdAFXA/H7LI+1s0jIf/+N31nCSSdluV4j4qE
UOWZK0tHcX190XN1kiYh8VD21U1OAt2+aFi5HkxCr+bcrjKxEWjR4NXNzFQS
SivYrTC9A/vRM+cN9Cvx/3+U/JmbTEH6nfYmTuskVFN65Zp0FwUFvaGpbLu5
gHgumjCjRgp6vLl7++bjBaR3W16a9w8F+4iDFSw+C+ju2F66C7kUdPLDcYul
/AWUZ/RJSyOQgoRv/ReRu3cRGefx3nF7jdkwwUtUehGxWjUkP3OhoObrDy84
qi2isf3G7fWmFPTuIeFX9WwReelHZAzIUpDYg+XnXIOLyFBNtMdAnIKYtmUP
Rm0sota2ZN4YXgraR+onM7IvoZUQKYZ32yjox2r7kueFJUSdw3NlvoqMuCFR
ZduXJdT+OSap4icZ/ZQR9w3Ix3wr97dVKhlJVTc1bDUsoReM9y8LB5LRizF/
1+dbS8izxXlET5uMQgtTbKj0l9G516/kupo2kFrh8ZumTCtoNIqqh/rXBpL5
WPuYQ3gFqcRuSO3M2EDKdyVDEuVWkMOIk2W+/wZyrElzfmOygvQV/VrzL22g
7xpMmRK5K4hW4+iyRN46Cr3K3vXOYBW9vrmTWc57Dclc2mlYELaGhm/freNy
WEPBiuu0P1PW0DLb8xOTJmuIIq1wLLV4DYlH9EoZnV1DrA+peu+OraGpHM7+
wLlVtIcmZZ392Dr6/tathFtzFZlYBtbdKV1H+smpodRnV3FflHQ1aF1HZocs
dLsOrKLmTK0ZxfF1JDEWkaq9tYIKxr7dbNu5gdRVijrMUlZQ9K/euUXNDeTz
keeNLe0KEpegfSrTsYE6LU1P05GWEU/6nZ/vJjZQ1Wnl0Bddy4ihg1bjz/oG
Gk5kkxNKW0bvOMc76veSUbBeFCu77jJy//VBi1GXjGS/UsuWyy+jPKur1dLm
ZHSxtcLk1sFlJBRP13zYnox+bc5WSWwuoRMJDNlRQWSkxHRAWS96CSkcedl3
vZqMRMu2ujh9lpAiY+p7+k4yig04U5hju4SWqD2ivcfIaOJ1MX244hJy2HIs
X6WiINk4WXtieBFNBf5nZClDQYT+1bLq6kUUfbHkoSdQEIlX2+951iLaVSjJ
Ya1GQQ0LezffuS+i1+/EjoSbYJ2m8/yyFlhEbx4K1zj7UxAttT3/rh2LqM/d
B53++E+3cicjSQvoS4hyZHU0BaG9awNOJQto2PSqu3E2BV32KmeXNllAg2WW
jOrtFCQal2N5SHUBlXM8jXzXT0G2Z51hj/QCap0J1IoZp6DCiiKe5G0LyNGa
7fKZNQrqX6G5QBNFQk67mrZJ78a+QvPu2qM3JCRrmfmNzEMg7xQv7boHJERM
eF0OFiJQ7qO2EMNzJNS1L0n3wmHsM4SMGwNESEhRbWxER5ZA2wq2GeYykpBN
lcbnc6cJZK60afcrax6dhE11P2Xse9O4Fqrd5pH528NZy6p4D7k4VlxydR4F
vl/bL6uJ+9DwFXrH6Tn01Txb8cwtAk0xjew+IYz7XG7b4EtrAt3I+y3wZ34W
aTadn8h9hH2I4Zj59cJZ1JcV/rDmCYGiM5WwR59Fikz8hoGueM/Pf61eJTqL
8h/Y2Cm+xHPjVBjT+aUZpFL+/n6bB/atskd+8/vPIPvocNUvPvj59R7kt/oz
6P7BhNaetwQ6ahxbtSk+g5yzfz2jBGBfEKwrMFw6jfROZeyeCCHQm8EK7p6N
KaTT/+1FQDSey6LWohaVUyj94Fvtv3jOUK94DZHfT6E9ZNdlbezLBP9L0Txx
dArR0/dTCrHvWnTJqe3fnEQat5ZWGvCckvFWCwmsnkTGXSGDtdhn9ape42O9
N4keMaRLv8Y+SpW7Sr1bdhINno9rUcA+n8NyMiOdehLtziYNj+O9ne+XrsO7
hgkkrfbmoSOem5MaF0qefp5ANaup7kt4rr7qvJR333oCnd3Ge+Am3iuun1p/
YXZ6Ai2MWZl9xT4rWKR7l0vbOPKlYWtkwHOc+8brxTtR40grvJf6KJ7zV5sj
GXQsx1GFmdzxc9gHdBARr7Rlx5H/x1LbY9gnaF5hCbz9dwwlBzhXMGEfsedG
nYHT7zEkXLxwph7zl8oqzsigMTSUqTPgiH0HWVCG1GgwhnbI7ChjwD4l9MwO
fvYDY0iKvYZww7yu09BlvDCKJDoUEgcxR4dIWPz4MYpygwzmxLHvuadSxCb6
ehTtNnhGo4c5mUwnEaE5ioYKBY48xBwlHscmwjuKzPgflD3A/F7+h3TB6AjS
9v94SBdziEYP7e30EVTwNGX83/N6FT8xcrqMoM3NNY9/e9rVpyv1PcojyCNf
NNEH8zi8nchmG0Fs3OdZ+DDvSbi7/Ll7GLknSnuG4vtc+fY4LDx+GD2JG5vf
jvkMV7/Xt8fDiP4prbIBvv/hi4Z29WeH0cOAt29jcLxYSea8N5qHUEW9vvV2
HE/X3P2qBZ+HEMfBUQN+HO/6qVPXj1sOIdYVFZIUzoddaGOW7bYhdG4mkukg
9lFBAgKWfMcGEblOkvc3zrfW65tqlzcHkFVIEyUmB9fzgVflgX8GUAPnUMMz
rA+7R42qT00G0O7RoeCj2Ed99K6aPCfZj+ZtWmZysN4M5U3UzMv7UBBTdXo8
3gvvH8+oqzLuQ7ceCL34jPUZhRSzLgX3IiMxLbckrN/43YFUJkd70Q/H5KRi
vAfqP1i6mFvdg8gNEpVDeM84LcWqsnt7D3KN6ZnUwHvIK1mjFZ7IblS+y1X5
I64Hq8JPQfpnulHh4sb5BbzX0LJ76LW2d6FvXx2v3MT899G05ZsnXeiQR1dH
A96LFqg6Ox/t6kKvOZKO6WHetcwaG5DaiVBC9qf5f3tYZFzBqFon8jQd0fzw
by9c3kHzcLID0eqVOl/F3CU0bST5pgN9LuGEvZgzGdpiuUU70OnzNwsX8F63
5Xg2+WQp3uvIDbt6MLv29F9+c6cdPW9i0P23BzJ1umvRULUjGZWQ+GHMAamW
Iamf2xBTfhz3tn/f78I1/epcGzomnfD7CGbXHHeh1z2t6NTxoOqHmPNcLx/h
c29Fz0kGl378e694eTmy9UArYrvXTseJ7zPPm+mSUduC0slqe19i/vmX6k+q
XQsaUEC+G5grzrH71XC3oGXaUWt3HJ9XJ6PLGYqbkUmm5C8eHM8vnbS2ZubN
iDN80ucXZt00Pa8+pmYk9OhxoROO/yXvsg27rCak5nFcWR7n593TiXSRW03I
4k0dFSfOX/Y3XufmhEbEI3RUZQ7n94PYLYX6K40oN//6BRLeCwtf0BYMrjQg
tmKhG1RYH4NhR1eUlRpQnhnN2iW8B0Z8uxpysL0e6f65+uQl9uEk7o3VGdF6
5GDQOlmKfbqY34FdzaW1yMj89KwV7l+/vt2xGaSqRp9u/g2XwP3IlvOJG9/z
cnTJaYXHpwLvKZSTbFO1ZehGd6zh3t+4P3DdmCvYV4aOaA2WxfzBewjfgbd3
Cn+hP/sfbqTUEGhOcZj+OPMvpHSGqfxgHYE8K89dpDcsQQ4qF7Oj6glU1mCm
f3kDoUErFuEnTXh+/diq7flYhFbitcvrm3H9uo6xW5wsRJ2NgZ2CrQRq+vIw
3+RpAao+ELw3qp1Ad6olSQ2c+SgnOP93TQfOV9dIhGxOLvK2Prs63YnzE8pP
07OcjXyTtJ9vdeP88FuRBN5noYvd412LPQQyoS7IuimTidzie/Paegnchwty
vZvS0Y/1b8VJfQSCudXN28OpqJkQSXrQj+eFd6lChFAyomlLOSM8gOt9+0nf
P8Zf0e8EqsvlmDM/xymNR8Qj2RDfDN1BAinr2E+vdccgmfwQo07M803Xdm5y
R6MD3/UUVIewvqWGLUhpn5DmPkatJMyqo2Pb2yQ/IAfE5r2B2UFkkCc1IRCd
07sxLjdMoDrFnVVrKl7Yx3NZmWG2M3xrsfOZMypr3rPbHbNsfKmwbroWYi04
N/TvveKR1GSrwdjHUDT4pvXfe0Xt+/f5H8V4AI3RZ89/7xW3RXZ6mD7xBzuN
bOp/7xXPiJRPxXx5D3QfZtT/vVfMCyjYtpMxDLqqv5v+e694bHL8xR27SPgz
pqnmijlhR356s80XKO8q3M6JWdLujfaMUByYCjO+j8T35bIqkt5oTQDeL7N0
3Jhtbr7sWfdOguw2Rxt3HC+99ocLk+dS4OSZ3oFuHF/1CBPR6oU0yE8SeiWK
WXe7Q0zttQw4tFHsaYzz8XznuZjk5Ewwl6MR8sH5Mils53eny4bEGMrnOJzP
m2kxp1gLcmCZTz4tvQv7o699ThUcedBKc4AvGutB78roczubfCih3xR8hfWy
fSM7Nk3wJ6x+2X9JpA2fL+tqh3FpMYTHdz4ZaMD9akM1g/tRCTDsYQtxxHqd
lXwc2sj3C9IChi4zYD1TmV/bAQ6lQI67vXdvNYHyLb83HJKoAJG/fzNp8fzK
5X/fu9xaAZHBF6Jd8fxpWvS+XOpeCRf9/0tawvNm3P5vhGvPbxhYd20ZxfNk
z5FfKCigGhTsW8uXsT+wPaz0pfxcDRTqula8xvNk+8rnFpbpGggPrVEWxPPk
tZTW+oxyHXSvMfDZ4Pnx8hz3sO/zBriuy3fBA88P/aqFfZ9bG+B1QdArc9wf
XO/0hZRJNcIe7oyfN/D8WH95/iHVq0ZwLuS8+e93ihzWmbJr3Y3Afvd+vjHu
Nww88hk/pZugw0f8sBPuRzl0dy+BTxOYyFLWo3C/mlQ3Tgo61QyK9+ev8uF+
Zr078YVZYDO8dfnB8wj3u/Bd47t1JptBt/jdjybcHzlPKNwxUWgB6+8X5JQw
B5o66vqHtsCLv5q+Zbif7td/M9a50AIftl9Ku4756kAKWVm1FZgiYkMWcH9u
P678vPlLK0Son5b+/O93ISmLWx6UVnjXc/7xTcwaQ5rvB/XbgOygpy2AuUVm
1s7yZxu8m+BTWcXzgWWwXVBgXzuciiAO//tdSmh0roTqeTtYnE9Z/fe7lKFO
zDO2/nYwsA989e93qbr3iU5X5Ttg4NxNRMasEBXdVRTdAeJ9iX6i/94bzp8t
Nd7eCbXeQg23MYc0JF+TMeuEwMXK+8mYz5e5fTld2Qn8Nf0y/36XUm3YVeYg
0QVxyInqCea+qrDCCd8ucHaZDZnH7Bt//E3gXBesh9/McP4XH7ECelutbmDn
VCXvxvHs5Zre5ZvdDe+be3YWxf97jxR2p5erB/67T3ffHsef6vnpsPsuPWC7
bPXmNM5PU+KG0tH+HninXlPGhPMn6Dvo8yChF+IEM7NbcX51JC75ZJ3uh6s8
5s0DWC9aCwp/9kb1A0un8+Qqnh8Hv4pf6aEegOy/Xx+y43nhYZq41GQxAP2/
HYa0sd6K41Rrdp0YhCNxcX3DWJ9PWwrvxN0fhHrnHUCdT6C1D+si1yMGQexR
3xQvnieXDjvTUGiGwPZTNstZ7JeEp+eXl04OQUXnqb9QiOsfzf6gsRmCv1Lt
4qdxPZjPCx+wah2CO3JVx5mwH5t1OmuFGIahMbsrYRDzpSH+P+Lnh0FsVsUp
EdcTrdQf33jbYRjnPuZtjP2diOjvLbmEYUgosSqjxfX3s/O0fU/3MMSnFx8I
w3y0OUHhP7YR2N5UX8KL/aO1rmuJvvIIcM/qZHtjVliVuHnceQT8lVplhzHL
9y7bC6SNgMqnMr8DuL61Q8L9uUdGgGHyFfcNzBL+K/v3c4/C46DL6v/8rW1A
dMmZK6OgLc6Z9M//Hni366+Jxyjc5h+suonZzkva5WPeKIy4BdyU+vc7/LWY
0e7ZUagU3cU+jr9v69nYktT+MeCOdkP/zhN/gtvMV28MmLd3nNqNOWPNbmv1
7RiQe03uvsb34ZVL839YOgaxBpfFBvD9Y5MMh5bXx4BULmgrhHnXD7Oa14fH
IXz+zylVHK8JpToBUdNxqDRvenzr33tZeXJafeg4bO+xZb2G/W7qgoXm6/px
MFU8s+MYzsdjsdfsGdsmYIdNOCMzzhfjcNHOMZkJiHx5400z3leWePYyPvg4
AUlb/eUCOP+WkqF/iqsm4OrlkKdxWB+CdH8l9m1OwGcJ/ed7cP/6se3MkcU7
k5DEMHwrG+9T/mIkJ8v3k1D9zZdlGPuV6wpWadMVkyDccaKBgvXZPrqtm15q
CqKLtGemsH67ymh/RaxOwbLsiGQ+3vca7PL3a0tMw8vAt1LSkQSKSY6SYDOY
hh0fDo4GfcL+3lPdNKRkGn69DDJk+ECgdH9nNuPlaYi/4Tez7z3eXy4XXz14
YAbIFxeauALxfAlqR2V+M1DCbVKSh/fRP2dGxgLRDNCYXAejNwRy9i16Z7g4
A4KfnLeP4f31mvj472ndWZB5KEIbivfdmcBv70uE5+BXTBidPd6XL0q+772t
MwdsLgrruy1wPZ+aiV1+MweydP33Au7ifViL79zyzBycP2/7kBPv23nhppcM
BeZhaVX4roAOgfbJ7L74XWseyCXX/Kjwfr7vZtodqZx52HL3v3oJ7/PKL199
vDQxD9RZnvopQCALZr6/YswkuMHX7zF+Cudv8bsSPZCg5XCLbschAnUOO08I
fCGBDjtzShgHgfqzDQAVkEDKK4bhAxP2m2fcWjWaScC6b43LlBbPsw02txM0
C1AnZM37cJWCltibkw6YLUDjrsFgxTYK2hVtHiX9bAF6xwtmUC0FvVO/zSIR
vAD8zg0UxnIK4mumH2srWwDXkqMRHFkU9EwmEA7tX4SiX+ERI34UVPl5uuH5
2UX4dKNFjsGdgnTlcqS+6ywCk6jdo1UHCkqkOZNZ92YRhuN8wyRvU5BRcdWu
pKlFGOoaoaM/SkGeoeF7uLYvgSOHdrXDfgoSvybWZsa7BKaeDxgyOClIwFPr
XILaEpQ9n5d6TZDRwz1bdzKTlmBjxkK6qJyMvm4LmRb9tQRXmq/m+uWSUUSr
cbRT5xLQ6lm/kvhKRuaVKaUl9MtwVLFlR6MvGWnKNXt3mizDopJCMukKGamd
fdD6lGMFgmTSle7UbqDvqD2XVeJ/FJ13IFVvGMelMkOR0VJISYpCSulNSEJW
hYaQzBJKflZStkIiJZkhOzvEY++9R/be1x73lN97//x0de95n/l9znUeK+j9
auFzr98bEMFiRX5/eQXV3dbr8U/YgF+Je7mvmKygfefJvXKeG+Bo8KT0Xf4K
2hts3q4hswEVylwDt/VXkbE8bF9KW4cnSXZnHoetIdrjOU3uLmvwcSlh5nba
GrI8Vr/XynINKrRiL0mUrSG202McyjprkPb3rknN1Bpq57X1bJNYg6Jp/gfn
xddRtNpf+TNTqzC4M3R9R8U6en73zM1dSquQv/L+8XznOmq30k3aklgF/aBj
vuVT6+h3+NrSIN8qVM0l3TnPvIGsFAseWJJXgPeiIDfbrQ3kcm8+PDFuBc7d
MnxQ372BXEdU1pmoV8BS02lu3/QGogldNEmcWQYZurz6q+QNdLJ9+yeRjmVw
vp/AJHBgE72Sstw2kbAMf2Z5nHm0N9EX79SXO28tQyZ1ftx5403EnXh2R6nU
Msh+NbM7arOJHl3dk2dwfBkumcvceBmwiZJPZX9R3FwCav5owenaTeTbIdwW
H7oEf7eplvp2byKRKnnal+5L8LR9Y5J6YhMxGJen81osQWac/pQ6NRlZ25KO
8EgvwdF7sry+YmT0k1Fzf87gIsTA238hV8jotM6m66eqRXjxXfHnSyUyurf2
MFgzdRFOH7uf+e4RGaXIdoi4vV6EhdntBlK+ZCT6+ptu2KFFIDhuv1v8TEYf
Slf0NWgWQS8lZ/i/SDKqLfBUWJhbAIlGydfrGWQ0Nbz0dxoWwD67JB06yMiU
i25rVHcBFD0DIjb7yejGES2+xesLwPjl+/LOCTJaDC4cmxJZgG83GGh81sgo
T2Vi+3eqBZDXatA03kug9MZCwathJAiKCg0RPEAg2q9f4wrdSECV0XcQeAi0
/6PFtLA5CThCb5XoniYQ25UvMsOXSGAg82nHMzECNRe9TxQ4SoKu55mZapIE
Mqe+5aDHSIL1YPd9QXIEGvfTvKCbPg/Jz0YukG8QSGBaO9nHeR4E74VGnlMl
UCn/vsA4lXkQYrUxOHeXQIIe37Tjp+eAg5q599kTAn075a38j3cOyrtDtL9b
EOi8Z+VCFmkW9mZcdst6QaDB45xdhgWzkP1URdbGgUCbChX2qdqz8GpT583x
1wT6e+lM8s3js3BAZqji11sCRVANsEwsz8Db9qRsZy8CiQuKkdn8ZsBel2cr
9z2Bfgg3Zf94gF93rnfp9CPQu59vaS6fnAFOsSLxkk8EKrRyFTYvn4aVD1QX
TCLw5/fKshLEFJCs2nPbKc+xcCWfTKqeAguRdb5TMQT6HGM8YvB5CnTutuz5
FE+gy2l8rFOiU5Dzs+lEXCKBAlzMNH5tmwIlWjXVmGQCvfh+oN6nYRJa4mOe
PUzD9uFJf3PbbBLiKiqjD2QQiDtlXvjahUkIk803Ks4k0Guqq1RXaCdhxf5A
ZcMvAjX+405ViZqAsY4U+3O5+Pz+An2PLSfgaB7zhHsegW7XZ1S5ognw47+y
azqfQJKN6WbDPeMwxOtGZgUCBY1KHZ6LHod+D9VdvIUEuqcASzssxoHppbIC
VxGBmM3NOQQkx+G0pXj+CmaunQ8zNHeMg3hd0vPcYgL5V4uTP9aPAb2Ysa1h
CYEkJC/s6/08BoX3T/VtYD4o2n9Z9NEYvN3bkvWilECq+aLhn06NwY7g+MMd
mK/1u76kXR+F5YBdiKeMQO7zLNRuxaNAvzYur4G5b5+bN+v7UeilEneg7H+x
0nrxOElzFKi4mYUpzzF75aPZO7yj0NAiUU7ZH8NPxHqzzI4Agw5DHmW/jPr2
ioyO7BEw5skNpuyfOZ4TMJ7yZgSa39LQfqE8V038TPqsPAJAeGWewiwwejbY
n2sEnHZpWCTj6x+beKgQOjwMqsyf2A9i1qutevg7eRiYW44E2eDza/857zlr
Owzfyg9vFGH7PE47a3NWbhhynQPhOLanQcbd/zZ7hkCrttBaDtu7Z8/YxqvY
IQhqLI+/U0Dg/h3Ftf/5EEiYlvtp/SaQ9Pjh6U8MQ3B7ZmXtbzaBTEKWQn9L
DgLX9jPHe7II5H3XcoyWdhDYqaeYs3A8/P3q5WXeMgARNSGSpun4emz8Un2f
DAAN7dnjJBxfn3IT5jSv9MNeRyPu/iQChZPzP+d090Hho+XONhyPJ4/eptG0
7oNVsXMjfTheCagtkEvohfvnDE8vxRHINf/N9qBrvSA9FyLEhjnd5+sW39Af
2CtApWcbS6Dtd3R+z+/7AxZJvYuFOP7DGC+6nMrqgXNySiQOzNdYS/dGq/dA
YvJ8q300tq9IUcrt+W4IuaxET/pOoFVWstPld91wf5Fp5DnmpPakrzonuqFA
hyaRFvMAcqHNLO+CpusfgxNwvr16VJZzxaALLjUI9T3ErKtl9Y2KugvCHTdC
jlKeQ/4qGrgU1gkcNsprG5EEyhLccuS63Amd27ro8dyG+Frkz5j/6QBVfvF5
PNch6go7tyW7DjBoOlaE5z7kw817K3ZfB9CTgj6vYZYJG3/m8asdNsPI73nw
+1dHTCcHarZDGotUzn3Kc20rOaN1q23AlBr5IQrzf0ntVV9D2sDTfJ8fZV+V
ozwb//urbeBELVKug88jG8RKHTHRCvfNPWRaMJs+pzJt92mFO/cX92pi+/Q1
0RsIibeCP9uHq5TnkrOuXVqO6GkBdi/O+nfYnsGKQfvPvWmB//Yv/LyM7f/e
70zzuEALLG471b2FudRYa3dWQzMkm68KNf7A+fZcpDTsZTOc51T99A371/F1
ukBRaRNM9n4WDE4gUNuF50GrZk1wzfDb0HccD7TX921cZWsC+OJJP4zjJ/EW
Q/cB/UborWqxZv+J4zO6cimavhGsM9KpbqUSqNLJ19xFvwGsXi78XsTxZ/jR
sUxrWz2M5f4rDc8hEGP0t3jFKzXQ025gtIDzMbKGZty8qAwefnHRdqrA9fOU
9J7fe8rApZmjg6GKQN0BfgxM+qWga//dmqOWQPInXWUyqUvgGLr3OaAOx9u/
q6cZNIqhm5tdaVcDgRg4dZBOVBGos5p4jTQRaMfjnzeoZAshnF9BQqaFQOu7
Tnp8EQD4c9I/P6iVQAWyPGWCVflQy5bPeLiDQApNks/PMuTB45mLqqqdBOLw
4vaPjc+Bb7Y6Ji+6cP6aN6ixKv4CnrdiOf49BPq1befeSu9MmLoIY95/cPzM
/SfIJpQB9J7x7da9uH9lH6O+VZsGbbLWJ1X7cL26trTm9SQVguu2Be3vJ5C9
LdvbX7t+QvEOqu5WzGLlx/VztZPgY/to8asBAqkc/ymz9CUe0o/ZC3ENYvsr
WtEe6o4F20/7iHDMM3Njhy/sj4YE49rD+4ZwPKSzsyjcjQT+n6bvXmMeONBT
HCIWBij118UOzCdpnmoEZnyB/nvJgoeGCaShI0u8EgsAMy8WLXXMX8WyunKM
34Olv1XJS8xBhe4JBsZvoORV1hPKc8mstbmX2cKfgq9gg8Z7zDHIsHCz+D7q
Kdwad8IcrUP1LqDYASUevq+nj/mRX5bwKUFPlMa7AWKYXeLp6Z03PqDd3/bu
WMPXc5GK23rwQRAKbzM/HYf5cqFsj1hxCCo+tE1aEfMDN3nuS2wRyL5j35Ve
fF7/jzdUbpVFoYSABtGHmBcezbvr2cSgKO/YE03YXpnveDX1T8ShCSmlc6KY
TxExmrd7ElC+uayNK7bvgISk+IX3yWhw27e9ldgfTYdUtd3CfqJw+cdXydhf
d4+IahmtpyJzhU7pw5gzTWj2I7V0JPs3l+oi9rdCrO+jJuosZH7jk6doN86n
P0ZPve9lo/UkNhtuHB9XLinLXcz4hbKf+aTWteN+8sih3eFxHjrmmcD2Hcej
qQ0VVfWjQlTiXVYo3YjjM2xqx47dRcjr3rl3HfXYf5G2Py/+LkJPBT7tm6/B
9qCZEordW4K00k33TuB88XOsM/cqK0NNcuLuurg/yVuIxNRalqNdI888O3H/
sXJSuMXOXYFMZmc2q3F/0f9Nc6bwZSVquNkb04Lzj2bbs88JAjXo8S26GH2s
FwT2XXqn2laDlOXC/NdxP2FerzNgeFOLJE+ah1zCeiPRZqdeWU8dEmAZ4buY
guup/9u3itcbkVZrmiEnrgcX6iz8doc1otQKMUSF+0lHgQvt5Eoj+kL2P7qK
68m3W8/p25Wa0Jo86dUGrjdv6/vSO6OaEO2vD7EMmBnU/Y8sbjYhDaPeiRO4
n9zW/G7Ap96MVBz+ffqI65fY8V2JTVQtaH/hVfU+XO+INvJvVa0W1NX7oEwC
s46YbeF0SgsKfktHDsP10U5hNDmKthURajdWODDfUQixt33YikQy9VNCcH09
UNDGbp7dip6JPzx8BvPfDVOTNyxtyCJiRqIV12e2yLGH2UZtqHJUY9KVUq+t
9g4yFbYhAa6nutKYY82+DbMcaUdxO3b0MmGemjAJvvi6HfG0keWncX/w2/9P
0H+gHXmTUz27MAvq3czdK92BDCu2PDsx/36e/6Q0ogPFLouKTGC+Ps5mGEnd
iSzWhvXp8PtpjN6qSnnUiS7I3Ka9gFn5jPiv2dJOlMugQmWH+SbHNvUHx7rQ
9XAVoRrMVyv6Urfcu9DLbMVHlL0d8UecZ9omu5DowvkX3zCfibZnGlTsRu7v
/Xi5sT2y1e/v5U3uRgfS+/mSMXv4hC582d2DGoTjDiljez48nfNW4XkP0j+p
ELWJeT5tW8CZ9h60r89QPAv741LOVKv6hT8o7xGrtBPuJ29/DPYnhfxBzzsN
OSWwP7fzpomxGfSi8kLHu0ex/2fvJwhwV/ai1r8ydAdxPzmf5H/eQKgPDV9O
LTmG4+eU0IuMiJU+1H1GJEsCx9faDbWOz3f7kZZ58cBN3F867f1dq6EfzfoB
hzfWwzVHHHueyg2gMFW9Q1xYD7l4/O5u2jOIpIqnZM7jeG4XesEvLDeIZMkd
EbdwvAd+PNoe898gumLcvuKA9a+f79Fbw/2DyO38ESM3rK9Y4/m2x7INIS6l
cBp3rIclYjJ73sgPodbhhA5jnD88KQt2r1OGUNo+zk/yWL8dSZCaDh8eQqe1
LcIpejgvWaSnnXMYpXvUNHRj7nxmEMSjNIz8tnbQv8f52Jz39snr18PIJZ0P
ncZ6Ub5AKW4xYxjRhby1zsfssM093GZyGKmUexZdwPmcM1gQz8w9gkQO5CtG
Yh4NjzmerT6CXuVeV13FTLtjn5OF+wi61cF+WJxSD0518Ej+HkH3OHoP6GC2
MbvqxbYwgsSueuRT9HBa5qdLBP8o8hpr8KHs9fGepq9cujuKeOavn1LDnCJW
Ub7hO4ousH69zo25c2Krl6lsFG33/Rvegj/v0jajfOHNUSRaJLjTEvNnKlHu
h8JjaKc2lSplX2LWgaqirwZjiLeDxvAR5bnuaxctRr+MIZPnxNlf+PxpRNLq
xYYx5KLuGLuM7VPlmMsftmMcBWdSZVPsZ5BAbmCWHEdz1Hp3jmL78iWtVHo9
G0fyfv/sOLH9U/WfjLBGj6OnU6GuNFgfFw+ZtLJ0jKPPEfrCA9h/J3q4GDjp
J5DF1eln37F/zUJ19AQuTiBqxvLLGnj+EduYy5R5OoHGM7s+zuD4OH4sbtg4
bALdMrhjaIHjx1YlpSyoaQIdudNwVwLXu0nzUCbWc5PIR1FO3w7H284HB3ke
GE+i9Yrx5Fgcj0NaDNKpwZN4jvSPLsTxfNvxVvnzrUm022Zb/RjOR969SjHa
VVPoUjbT/Es8H7q136IeJU8hkoqi5nwogZLnlF1fnp5GdmeKWIK+4P4TvOQc
93EarWUS18vwfDkcoxOgUD6NRl39v3Z9xHqqSfvfzPo0WqIO7EjF82nKAcHb
kjozaM79uOILPL+WcI1rDvnNIN0G0/l97gSK2nt2wLNkBilxP/dkxPMvb/wC
R4vALNL1KbKzwPPzoTyTv0JLs0hizxivOJ6v543GLX7yzyE5qRz5diMCKaZJ
ZpzQmkNN2gNZ8Tr4/H50Wuu/51D2jRsP/mjjeT49i1pxfg5xXnp6fvwWjg9x
pz0+PPOIIyRG2xXP94yWMzn9rvMoI8yDiRPP/3/ZM22ns+dRmkBcyyuEr09E
YGZwch59+9yTUCdKIPYP3oGlx0jI4ojrsTv7sf4zDx2p9SQhIZXWIVc2PN+y
NZNMIknoYd6PRbddBPr44vbUai4JrQco/iD/JSMT4q5a3zQJPejWqvjRR0ZU
hnePtCotoFDbFLb77WT0lvvK10GDBXToq7pGfx0ZhZ/vZ+5xWEDD8tkjt3+T
kUvuU32/xAVkrupiSBNERtFyMqJkhkXESpeBjN6R0a2ZbdtuH11E0+u19X7O
ZORdPHUoQGoRad/RnrhsRkb77uVlFj5bRKqi64eYLpFR+9E8l8rmRTTBOJaT
I0xGEuMBi9LTi2jvF/82ET788wkdod+2L6Hc78R3J3oy0gz57+am6BKSF0sy
iGvZRFIlu7uvfFxCDjGXotPLNpEWWiKXxC8hrTypEu/sTSQkxGZ/vHgJ/T0x
ofcjeBNdDI338CUtIaOF5bPxOpvo0MPdf8YUl9EutfKe9L4NlDTG47tGLCNr
MimJsX4DfZvOGPrKuoJyODozpfM3UPy624FjAivIJPPIgtLXDRTR5Bgxp76C
Xtf/Vdu6vYFCbJxt9GJX0OO9ARG/y9fRf2eOrNxXWkWsbwX3XQteQxNip6IT
PNdQv/xji0seayg8VF884+saenNQn4r/5RqiZV5eTE5aQ5fDtq3Uqq0h1MBS
a9e0hooHRZRs6dbQ6Ty7IlOudcSh8WKn7PNVlHLxV9znqHWU2tyio6O7in4/
bGXPzVhHZkMy9KbKq2joh+KFmrJ1tOoKjLeOryJhh/35uePr6NHh85NG3SvI
xujq6wLBDeTtYc/FJ7WCbsgIzaUlbiCyVoIg9wl8znTdQ06/N5DCfNGO7ewr
yHrIrP907Qa6JGTE6zGzjARuRhmKT2+gyjRrrufBy+jQ1j+R0uOb6HRxmWWK
6zI6ZhmQ439uE31fzKNrtlhGf6wWbkrJbaJomQseldeWkUag8iqv/ib6S0pb
sFpYQoHsH/i5sJ/sFL6e7upZQiTH8Znk2E1E/3mji698Cf1eWlU+kLmJKpyO
GRgGL6FzlbTWVg2baPqa4WaE9BJ6K1YjvouajDZLepcPeS+iu30l/uE6ZKQ6
LSGp+mIRKSgVnRQ0ISOnVhNOsweL6F18A5Xbc/x67OHqe8KLWJOdykx3J6NJ
ibMvzjQvoFIL7pyhJDI6HXnqz8/cBdT6wjp6I4uM9rqPXz8QtYD06qbeDQIZ
MUgKvUl7voCYbrzr4msiIxJLeMQy2wJaP2vWb7FARtWW3262k0koNO7uTuYN
MuKWbxKIGSYhknbkCQcqrEP6j1ixppPQKfr7arXMBDro5ryeEkxCS1sqk8ns
BFp6c69b6g0JnSjYEffoINap24/ynVIjoQA3kq7cCQJdI3KafM+TkAGV//3n
wgTSXPA1GT1MQo92r7tYixPIeX7jaOefeeR0zmB8/QqeO+b0M1fY59H5/+wj
We7g/590z3P3yByKOH1We/Eu1lEWx5QOps2hYzd20aU8xDrLU3iL8eYcerWm
5pBjjHXdl56PiwfmUOZfsV66pwQq5zR42DA5i74LGT0RtyQQ0xXmJAvXWRS2
rqtzwpZAg7UR8RIas4hOwtZ40QH3daYzbRtHZhHVSt7cV1x3D809efji9wx6
0CNb8BHXZaWSvEHdpWmk/Iu7WigAX+8JL7ojRdOo3WVi1+4gAvFvGPsO+Uwj
7qaa3i7cFy4b85W/EJxGTWGZLnxhuC4XBDfLrU+hvxGvTL7jvuLfKbN+sHwK
FcTXrjNhnXc/qzGsX28KdR97HxeCdRnLPvOdtcJTSKBl+Xkx1mV7Ok8rF/6d
ROXtjy42U/Ynnq7IK/oyiZJjifc/cV/TMzzxuMFoEjHnnTZ0wn3v36tb66Pi
k8g6wbfjPO6LDzyo/U83TyDmtq8NZrhvHlfPeHkiZAL9pJF4vgPrLNmz5BBh
wwnk8/KJIGW/TNlC+FlpkQlkPUpNNY378h93koHO5jj6Zqf37zzWWd57aPXc
S8dRiueMsDnu6/Gboxq/fcbRcs3+MC/c9298eGH6V2scvdO2ueODdYFgqkvT
Db5xdCYoVtcW64ZI0ZXM77Nj6G3Dp0pFrDOuJPDIMf4aQ/ScNME7sQ6pDypM
evVmDPk+Sx2KwaxvfZpnS2kMfRnckyGMdcyfeeq2d5xjqCH6C3845vJ7uTsE
hkaRoctJzXXM3C4qS42Jo6jwWcTz81gX/X6QOeNuM4oO7lFO18WsENp/Tfnq
KNpL2q5D2S9jYX77EQ/TKFKWpKk3xez5UCN5R+cI8hRLe6ZMuY8ZYBC2FjmC
/n29VLKPsm8tNOPX5tMRxK+Web8Rf57XwAs35gsjiPu/YyMUnXUu5WKo6I4R
xLAYz76Fr38t63aoacMwupBvUfQf5oeuY0IZwcNoXt6qph+fn3cgdXW34TBa
8fwhKI65LPJNkvOZYXSS+es4xV4uXdI0tH+H0Ct5nf0p2J6Dy5NZEZVD6LfX
+Yk2bO8cjtcv1AOGUMAxAed57A+/da3u9ZND6EHINvIW1llNq44d82uDSDu0
/d4G9mfP4IDHVskgor3G4jKF/S0XuKpvdn8Qnb94+moO1lnuzYKpb30GUOj6
VzUhHD8y51RkVO4NoDY2v0LadALP251PJAQGEGfrxoXRVHy9rD+D8136kXt+
/v0EPAeYieevHCb1ojT2XYxueI5oftTx5r13LzIIrLb7iOP51Hm7r+eO96Ir
1ArrCXhuDE+J3n6g5A/SbpO4R7nPReIp0ZN8+Ae5fi012ob5JvxAAeQe5BIm
V4/wHNN6uY9R4HMPkuU+epJyH410YGP/ilgP+nG3n2Ycz0UGr2TjNpu6kWyc
frsqZR9p8OgfiWd4jsqcJlfhfNsh97YyYVc3eiQQVKmOWUlN2fx2fBcauuf4
ahrrwBuGR0pEr3ehvD4ejQDMLILvU+XGOpFPJGGpjNn/d/xBL5dOlIi2b3Fg
Lj36eWiLtxOVqe/et0DZb8Vo1xdd1IFKqsZ7KPuton79e75s2IHGo9gFKPut
Xn24z2m2qwMxsVznpezd7/lwqpMurR3ZvOnuo9znHO4+Vlar2Y5kkKgl5T5l
2T/yTObfNmRJ+jOjSdnrbxH2oCSqDcU7fTD4hjlp1fXoskIbuk7nObWAua80
5qY8qRU9iX/hdxufr71DezzvUyuiLRp9XIn5pfW1dVWpVsRQxfjfDWwfT7N+
950jLaj55J2GHsz6OimfO71aUAsLjbkDtm/iYIxA1ZkWpHPo600hbP8R7QXh
9s5mlOpyT28as6y2vqH08WZ0iN438hP2Z815PcNv9U1o334uyzfY3zM9TU57
XjYha+p/KQ44HpyPn9GTKmtENn8Y2b8mEUi6tL9h8UkjSrgcr1NA2Z9oJhSb
t7cRre6RfDiH4+mIf4zbzqp6tKlUetAK1zf+frerf7nqEbOD9qtSHI+12q8u
sJrUIaHi4cEjmQSiCvew8qKvRaLWmnrLuN4ddfFns1asQr3UIhyzuH4F/f3l
zhlSiayOapS8xPlzSil7W/lMBcrzOM+1HefbtpiUNeRTjiqj12sO43zmPClY
Yt9Ugq6TJguVq/HnNSp+UuMtQVe5izmaanA+08SXHn9ejIYKrYRV6nC+RvWI
Nu0tQstcM0USjQSi74g12fHzN7JNXpANbyPQJ44NOg+1PGwft3f97dj+tzca
ti3lIFD+58XaSaDqZ2b67eLZSEvdk1atm0BbvlRDIh2Z6ESGhva9HjxH/NCZ
ev1fBlKS/EGv+YdAKil7PlDnpaIHH+U6jvQRSFto56rY/Z/oWuNPmTnMN+Zi
m39vJqHIrzKJCf14LtO0ZNy6lIB4FIb/aA0QaIUkMHXG6Qfy0t9KWsH8rTS2
605RNDpzYZT6zSCBdj11vv1sexR6HjdV8RdzdVvyiINcODLV9SUZDxHIdSNI
kJrlK0pMjrAuoewnbJuzfnMoEFVLyhWyDhPomcHuyQlNH+Sn89nuJuYb4f+0
fr14g7q6iSjKfcr8dna+WTlTxPtT7pI35l6Tp5Nc8o8hd/qRDGW/Yvq/w3w7
xJ3BqPtOji1mUom8wTmu99CSfTJUAzP14J3/4h0DQO0yw+I+zIwn13pPPgsG
ubOOmbX4elrKJFOURcJB1+LKlBlmalk6x02BKDjSBgFr+DzseXMPgnliwOLR
lYJnmHkfReqd3B8HsmccbFqxPQoDXH8ksCYC47JxDz9mqpQJs32MKZA2tY3V
ANszNmTpbc62VFDg31D3xfZe7ERvexzTIC5+90RsL4E2l76zL26kA0mw83Qy
9hfdrY1T5IUsYBFQ+umK/fvunffF2ae/oGzzC4tWF66XzZ6rzZM5UFoxZrIf
x4OYvl2D3eBv8PoTcdUKx89Q+qbk5QcFACcdfOhbCdS9+mFtrRNg6SC/eUAz
7g+bbHSCxkVg6eJ+w7OBQBO3Huo9f1gK0p8iEnZXEYh2be2mwqEyUH1Rjh5X
4HhQkanm6ykD9ZOx9Nm4v4WNO6TP3qkA3565a5q4H11lffqFRaUaav+KOiTh
/tH+yktVhqkGVnylWphx/zioVfjqfU0NeP5ivm2D+wf/XXMri+t1MErzz08f
5+NOKqPAQZ5GaK1cu1qI8/mFnC3nK+dGSPTLNrHF+S4wSfvrzGAjJF/niJbG
9aBn6vXm3ytNcKFPMngf5XtW/zs6I+FNwBLt0bkN14+sKvkHY1TNsHhqX9cm
rjce+41Md+o1w8wVyy3K/tYiKn/S1aJmYK6R+3IE949MmiPq4Twt8FDk4IAy
rleO+25OcL9pAW1qrU1K/9j+omR74VALCI4W/u3F9c/RI2TWRaYVmEJeLV7B
fDOZbsL8eysE3xBsy8T1UzdSVMRpZxvIqJsFX8JsGcCxlWWIg2k5V6QN19+1
RDtvzso2qM31euuEeYf6TYbIE+3wTWnW/iLle+aPLoa+nu3A5jdTRo85e83O
MXYSM+E2Qrmv6HRuwXJaoQOeVb0tpNx3LMiIfnw/vgNqjYKlKfclhefP2pEZ
OuFIr4fKFOaXtcyNVWadQA39jYz4/ZqWlNwqazvB3L0mXgqzCetkzvqpLjC4
d7eQcj0mQ7ve3vPtggx6v/kmzPaxg0sLpC7IdrXYLYbPk1mVtzdfvRvanl5e
iMZc/uX5UH5GN0Su6N0+ju1Rwn3wxgpHD8yEhy1kU/pHvtZxA9seGNS4b0bZ
X3zfsUl2+vIf+C+6VqQI2/vRMcmaHZF/gDGIydQL+yODwVlVa2cvdHbr3dOl
7EuWOAjJtb0g+2bBTBj71y9S1f+gTj9w7GJTl8bxouNVdf+P3CCYpg7SXcLx
1XNftUzEdhA6SisDNLF+neZ+OR2aOAjBZ85zmeN4lCh7hcrZhiB3/MsOd6x/
pmtI0q/kh6DBRojkhuv/kejYBGX7IXhw4XaXA9ZLOXW3WUWGh8DounexHNZX
hTub06Q5h4E3dLsuB+4HrKFbO4wVh0Fnm61kJ2YBk7o7kU7DUE0Tc96Lct/e
4/T6fPow9By9onIS6zuBvAAp1YlhWDs28jYXM2+38evigyOQYLEycw73k7fl
HTzX1DDHV2eEUfYj5ul6dbuOQJ/+Qa5lyt9d+U4n5JQ7ArlF4saiOB956Z2c
RedHgCWqgY6y//s4+7nda3yjUDPNZEW5T8j07qlRldYoeEpKn6Z8r76Pj4M3
/v0oiJkH9FD+rspdK7nRz8WjEPyG/QTle3njeDm9wLVRqLBX76B8b295gEUl
TGgM7izKZrzEbLDqY5GlNwYrNru//sXX7xMb8L770xikVjs9o+wf/tLf+Zyx
dgzSd8QfKsHn/32rfOn6tnFwFfAJ3Eb5OzPH4wb8z43DjRyemuPYXmjnPNOk
2Tg47ixNE8f29TvGo6oYMQ78902vnsT9V7duxi6nfRyUfgs/o8P+6My67f6V
bgIUfnQcHsb+y7mSEuMuOQHs0/TuP3D9URh97+MYOgF5RTRaSzgeqO+HMrs3
ToDQfdLP/yj93nOcJZh6Elwlcr5N4PrT+jBvpcdwEpoYn27zwPrh5S92Z4Yv
k3D2+sU72Xh+SuTI6ZCumYQpftq1RlyPymYcJ6qEp0DtU4UXZf46npgsdm5j
CtSfDkR8xvPblaZX0xEnp8EqXkhiL57vosV9TrPpTINMq1q5TQiBGM4cjN5e
Mg3rtwt+LX/C85JZxW3nlWkQRDnzu/D8eH1v+bttAjMQ5Z1UyfCBQBujMW07
38+AWtdOjwwvAp0gksbcYQY+Mx+b1sHzZ+2/q6/oFmdAIkd/Zvotrs9H2bOp
NGchBR17FY/nV6a88zEJR+bAS3hBL/IJ1m9E5CcqjTlwyi56eAPPx1TmBhI3
XOfAPoZZrf4Rge5pXD+TNTkHpd2r1YZ4vn646NnUdmAeZpgvZNnexvrudfLP
EeV5WNjudfexKva/e45Hdeo8MNCFJpRQfi/o8kxc6PA8PDuW3SiG5/ei75Gn
kxlIIEabH2EvSaA3ZzeM5S+RYLFm65X7aVyfqVrqW0NJgMZy5t32Un7vJ5as
lk2Cg05yzAFMBLIjfiQVNJDAcnb7SysaAv1QrDE2oFqAbO+W+Yg1MtrzOVOk
RXcBWn5fROUdlPspmsoF/y3Arj/+C5oNZKTCpSwS6LcA+hzPxnPKySjEvKpv
R+ECfNgjsjCXQUY6jrLpQ4cWoavGZAePLxm5rKUYcUosQmucILuuCxmZX+iU
O6O6COXm2irGtmRU5Lh3mfXNIjDvjNzXpk9GB3sUdd6OLMK9J44Hj4mSkY/A
Smw7sQjnkm75ZRwjo4n0u5y72Jegnu3hX6b9ZHRLdYX9oNwSJC1rz/NSkZFz
C/fRqqgliLaUr+iv2kTRjP/YjuUtAZWDmmVj3iaKUW53e9S8BBN2uzJ9kzbR
3isn2F9TLcObMEGyg98mMp8zGpO5twz5dRYegrc20YieyIOrjCugcf/AQk7L
BroRT59SfmQF7D55tdKUbCCq+IUnZ86twAUli+6zaRuI3cw58LfuCrBqv64U
8ttAtMaH+PMyVuDufum18hsbyEWqjnVMaxVYPjS62OStIxkWlUNlAWtgI9h1
Xth3DT0+JLbzV8waBPwnfFvQcQ1lt0kLfPu1BiXq/aWcZmvomjX7qtSfNVjc
o1RZdW0NOX0nrDp518F/QP2p999V1Ljjzdd7SeuQtSqv+dZ4FZlw16kZFayD
gs3y5ajbq8jHviZQv2EdTm1V6GVcXUXDVbml/AvrsLbryra4g6soy0ZjuE50
A67HeD9obFhBhc/l6ImMDZB/MqQWf3YFtd1PXUsq3YBfUeJeP7hXkH4hh4BM
6wb4KyiZ+jGsoJl3Pd/Yljbg6H5OqQNDy0iPhSv9rPAmuPFweuz2W0YPtv59
HZHaBDtHmpsq9suo5OGcqpXSJqiKj19/YbiMdK7t8zhksgm9F8o9nl1aRh1b
MyVfwzcha0x0lm98CT25sstjb/ImKOwpHn7XtITieUQ79fM2weX2N7PuvCVk
uj+o0bFtEyJaqYT4/JZQ4d/IwjBaMnRR98c+lVhCnFOnjyo+IkO1aS+JzXkR
tVupd/56SgbZ/oUlJdNFtN+Me3Pdhgydt9ubzTUWUYCmZv+8NxnMGAbVzfkX
kct8YWp6KhmCqT1SDCoX0LDSPa2fuWTwHxIZn/m5gETYd4u+KiFDbtSsge6X
BfRUz+rA+1YyJKg3uDGYLiB9XepPL5fJ8J2BIdOaYQGpvD0dTiaT4abw1D39
RRJK3k1Lrb6dAOsoYQepbhLqVukteb6HgGMtQxeL4kgoOqOtCHERcKbg/Irp
BxIaCGfV6OMmYObjrns7bfHr29H2wJMEVDDyRTFfJ6GzjX5CyWcIIOgS6l4J
k1CNbsDfrxIEnDMOFBviIKGWYSS4fpWAmvNHRhlq5tH7H/125ZoEnKffdyly
xzy6N2x75/N9AiTfiWz8aZ5DKfOuP2T1CPDiSTxLHzGHiudNOoVNCXAqFza+
KDWHYuYvqFiY4+uvMtmSYZxD1YapT32sCJCQjLgu0zWLggOnhg3tCHjnsZ0k
aD2LrHxFBnhfEZAelVbILjOLFJgv1YAzAa/3vzxG7J5Fad4W6WEeBFRF6SgW
Js6g4J/sDUyBBEQwdM3KjEyjrkAr6fEgAt7/1PI4kTaN1qUMP8UGE6B8c3su
6+tp9EbIV6Q/jACftJMtiwemUXqgkJ1mJAEt3g8Zpien0MvWxz9/fScgOOuq
3WT2FBKW/KInEUfAo3/9fzc1ptD8ReR4O4EAWgmYZuadQhc1b5U/SCKAU5Gu
QpA0icp4hSJOpRKwOtZhYf9uEqlsj7BdSSMgNPRk3s+7k8jISn3PjwwCRBkO
zs8JTKLTUV8L67IJsIv4VeRWNoEuJUu/puyDCVrNt4jznUBjpmz/deYSQOcv
e79DewLxcx1JP/8b2yPvb+ruoxM4/s9cfJ1PQILy3dDbc+PootfBAykFBHh4
O9+M+TWOZk+V3i8DAvz+i56jfjuOxKv5GUsKCei2zU4wUx5Hxgx3RCjPdXB1
QuoA5zgyv1Xd8aKYAGbqnFP6Q2No58jSrhMlBLD8MVEiJY4hUq5/XynmarGt
S942Y2iH1Cud66UEPE8sFhG9OoYuuBPR6ZjfuKnrTOwaQyY+R9tpyggw3Ird
ltAxijZfPTt4FfNZY/TQPnIUcVzlSn+M2UFxrkT76SgqFn88StkHk/3wi/u1
86Po5OmbLEaYmSy1dl3dPooGfqSFy2GO7TtbqFQ/gna4dR5gpuxbFNE+YPRl
BAV523IW4c+nX18J/2AwgugMOS9T9jdKl2/11gqPoFR0XXkSX/8pK2bjfeRh
lE/twqmLeaf7Qq9N+TD6fSjLuRSf36FZfXTiwzDq0n/iwomZVm1Y8OmDYZTw
VkrgLraXvobSw50nhtH6Zp3re2zPlUsJ59KWh9DE3kdFadjec+7HH78oHEJc
zK8ZarA/ZG/dClV6N4RiJ4q/d2H/nZYInZY+OoQq22ssm/MIsG9iUNUlDSLz
/+qvlGB/dyxaPwj6PYgC3pksUPbDBLZMlKjdHkSOLEfEaHH8JLPEIRqPAXSg
OOHrMI4v062L4eu3BpC1zwvRYhx/GufoHGh5B5Bl7fNVrxQCPvX/rVj7rx9t
tNYzPcHxy9buP+k12ovW49ov28cTYHZFekDGuRfdljjoGojj3bs9lfH8oV40
sbYjM+8HATtkik4Z5fxBmWUtPnOx2J9CqlONt/8gK6VVOI3Zf3i86sViD9LS
0xp0iCHA6tLjC+q+Paj8B/m/rmgClk163xkL9SDiZcM65bk0fuH6rayqbqTh
wlMEON+qtjJ+XTLqRkNzeUduYOY/d6d6fUc3qne20hqJIuCIG9v5qcgu5Fh1
PMQHM9PY7zUW6S700SSBg7LvqmyjdMW4vxMJ3xudouy7copq51h27ETFUg4S
85TnygaNL/482Il+Jrtx9mDuDwi4EpLXgeQ8NO9SnnO2Xx1/IKLXgY4pbpwb
wsxAv3l5hqYDjU2bF5Exs8qordQntqMh/dldlH2JHRo/P3Sot6Ml22Qhyr7G
cJfCozs32tA2joeiEZj3PQ4ruBPWhgLnjoquYjaKHzevkWtDd9kvS93F55te
NZfVn2lF1EyX9Oowl3gXK+3/2Ipy8poSVLB9Am8+/rh4oRVlDejwD2L2+bdy
ZGqgBUmFFjU4Y/sylS9sbLm3oGs9PNFnsP17E65xiwq3oKeQHEjC3NB0w+NN
ezNyOC2j/JXiT8etNUv+ZpS93z3DDfv7uM2uFpa6JjRpYWn9GseDStBEaNmL
JmRyZSbkG65nj+g0rV+UNqJrxncECpNxPeRLPGn2pBE9uSasOY/jiafhkpD1
3kb0hdnjoiWOv6irGgEOVfVoXjvvc3E6Aaq/5hhX99Wj4epzU4cyCdhr2/Xp
nWkdSrUxODqP652XA18g7a5a9M55afswrl89NmW5qypV6HpQ139mOH9OlNif
3R9RifiNcz6v4vySmU5MUFisQC+1/izvxvncvREVVhZQjmwTXxZJVhMwZamW
vLO7BAnHHzqXX0PAx+YdSfdPlqCPBbJvJOsIyKkO2JvhUIyM7IOKeBoJ+FKj
xqt7uAj5uiuPeLThfA7LFTxd9RvtHB3hrmwn4PEgP32mWR4SMZoWJnfgepah
dfwscy5yWjU7I9lNAOwPjWbSyEZhFwtXZHsImIxpSTdbyURizFbnpf/g+uZD
pwlBGSiiws9jVx8BGV6VN67/SUUGNr3D3ZgDVlTvvXr1Ez0WS9X60k+AI2vA
4h3pZBTgvTdNfoCAr331/4W7JqDLsiEVo5hXNc2Duqt+IKanVfbPBwnYfYo9
g4Y5BkVKSuWSMDe88pE7ph6FpA0GrR8METCh8axe8lM44otmjc3B3KLkneqd
8RV5MBUPMgwTUPCS23NfRSB6sa0n5jrmcgU30zPpvujMpbgVK8xnz7432t/5
FvVZbtR5Ul6n2eDsXHqGSgtzhSnPPcvJPJ/6tqADrb1T+x0xf21Yrc60cgJV
2kBfbcyuT5KsbQK8IVq+5z0v5sz9vr8Ksz+CiMNZjk58PXdFGp+ej/4CF8X2
Cdph5mke7A31D4PmOds6OsxHTnDTrUMk/Iz5ReeCz/dGmI4xICsaLtBcnJ7G
9hA9FuDJk/QDRNd4fa5gzv92NDo0KgE+T7FwvsH21FN+/Yk+OBlcXetyf2J7
n3+WcE+k8iespmVBbS8BHCbu19Rk0kCO3t2pHftry5BvyrAgHTIZav5mYP/e
EP3sbJ6RBfdl6ju8ughIDYiafyj8C9CR+SjVTtwP7xezy8XnwOVqsTMpOH4S
TwjmTof9hk85lzIVWnF9oZp+kry/AKR4HqZ0NBPALfVMwSgQ4BMxodHcgOvv
nu0vdeWKoCBT99CjKpyPLrrr3yVLoYSa1jWnggChynPk9bVSSCg8Mr6rHMd3
/6CwWmYZvCFJf0nB/Wgp75QKu0gFGCZEu9HiflLJsGnPf6waGI7qBhjj/nHk
+vqFluFqIG1ced2I+0eQwWzOp4gaKArf/yMH52NOT+RO00N1kOU3FM/yE1/v
jG+wAmMjSF1QlSjH+V5QplUaZtoIXw+gL964Huxpc/fbVd0IJf6TtrqJ2J5M
6q8/nGgCl/XcJ3K4frxYOL5HxLMJ5CI05yVxfZG11sybnGgCN/ZUE2lcfzzs
M0lwvRliuI/bv8H1KdGQ91sFXQtUMK3Z5eN65no4pp5s3AIs/vbyDJgJ/WNU
6lUtkM23OG2M65+wzYRtzYlW4NjTYdSF6+WuChVHE69WUM34nnoP85zp4Wun
plthycIhh7IXw9B+iJFLqQ1WRJ3MAjH3SyhvP5nUBoU7/FOVMNdX3ntoxNwO
uz/33OSg1O+TIVdpzNth843wTxKu96mR3uoNde2glfG4gNIv9jW/Tik51QFP
Blr1KP3inY2s7cj7DvhIuvmGshfj10vGhrNzHeAiQkVLhd9vrkizIeVmJ6T0
rbYJYR7i8Q66n9IJ+9S4W0ww7/JZuSq5uwtKj4f3ZWGep7k2qWDZBe23K5rZ
8HmY4oxD3jV3wf6FCGfKXozprr+Pt4t1Q0xUQBqBWcn+o2xKYDfUDqwc9sD2
qdZNF/iw1g361C0veCl7MFgnFuK0e0D4x0HFGsztvatmm3k9YH7eWJBi/5+f
XJXecv+Bc4mK7tdwf2fvu3xGzvkPaBYLl3Bif6ltfxh6ZeQPWIVt/0fZp/zh
0KmQ0fhe+G0jbz6I4yNzoyFkRrIfavJNr67gfnB0zmLDKawfSMcYrZix/nBQ
yHE4Rj0ArQIPuJRwPzCLYpy9bjQAb0lveppw/Zd6kcXRfXYQDrQHC8/h+Ax2
SDi/zXAQPsDpjZ04fp/qNPNf/TIIv35ErPDi+L7cLS3NQjUEz/Y9SeHH/ULs
kLRSsOgQSIjtnuXG+urQHvE/l4yGQN1fipMElHpltlZWPwTD+UIRZbh/iGtx
CiVQD0OcOMvcO6zflucSL0afG4ZYKaUhyv7e+cCX1ummw1Ajde7ZDGVvzce1
E22hw3CKVTbwDdaHsoZ9ifQtw/DoDekxDe4/bj5Nd1RpR4DtEdNOG8yPP8+5
/bg4AtJHXsW1YL62Oh21x2IElDStvx3A+pTMMHXQ+/sI+GRYXL6JecdJLtO9
XSPQKs/3l7LvUDVMmSmJaRQ+ftJ8QNG/hfEh/reujkLP9oQVyn7wA86Vfgw2
o5AWOW5+AXNj/7O4+oRReCzU9IayHzzyv3KP8IFR6DyjtxlF2SPE0DLixD4G
Dw5/ShDHfPj2NYcnN8ZgvXKPTQo+T03SXnZDpzFYe5YqtwdzQy7J7knGGIh3
naW5h8//350sR6fJMZhtYUqg2IsHRudDucchwDRfIAbbMz1QL7paYxxkxENe
xGJ7v7rkb0XtOQ7721Vc/Aooe6sWT14rGAed50MOL7G/VBQ/H/s3Pw56e4xU
5LE/Iw8EnCvkmQCvbA/9ODzvuB69SK/vOgFvjxr7S+J4OKt01kU6ewIK5gTt
s7II0IkzdxWcnICbh17dMMfxFDtT78SlPAmbSwRbPI63x5HM/IecJuFueIZm
I47Hp5ne3wVTJ+FmiU5jD65Pp6O3Kzxkn4JtPs79EzhfocfM5VjfFPCej6B9
Ho7njWwvN5Pd0xBkfcBn9Bv2n2uIbtrVaaCxGsl3/kyATVjAHo3Yaai17bwR
j+fNoms2dnFd0xBVmfTvlz/OR3fHfupdMxDIHHLE7R3WF2cF9+RZzED/M24u
GU88Hz5cI3FGzcABmjWlYVesj6OZVp+3zUAwVYpoNZ53fyVr0vJLzkL2u4Xi
/c+wHlwXNb6xfQ56LYXDuvE83SqiOOMkPgenHt09bGOI+x/jodV4ozm4muxX
ffUBASNBlVp/auaARU7xroUWrj9zJ3YO/J2Dw5tcd2w0CKB2oeltEZ7HcR9m
wayA9VUt8cbt4zzU+Rbs/CZDQFfHiPPVsnloKuxa3XYZ9z8Nlz2Tq/PwiIfE
rnSWgMXE4MPrQiS49vWcYwMXjp/I/Wd1fUkQdLzp7789uD7U1Uq1xZLAz+nl
NSpGAq4cn5OVLCSBXkZz70uCDExPPLc1k0ggzpI2c6qXDCICF+pOqC0A3+jd
3aOtZJi6HcSz22QB6lois57UkuGhcc3nodcLkC0RVzmbSwYVXl6HGz8X4LWT
5tHcQDI8bp+pOMi8CL2HLPp4vckgcPRuvurxRVB8FTd96zUZarZ4kemVRfDV
e9rGbor//w17HSWrRZA/Xjay+yIZgv8p6BW3LoJ7bbJo9WkyFH2RZeKaXYT8
7ZJfbvKSIX11S1p15xIsvjxUkENHhvFMkwlD8SU4U6Cyn69lEzItZQX4A5ZA
JSoi6XLZJlxP7aVzT1iClma/RIHsTahUigqpKl4C+oLMJNPgTfgh2NROImE2
umaRr7MJUodbvasVl2H6Xwjbq/4NGBb2YJgnL0MSOcNgrn4Dfl0o4rLZswIH
eO6flyrYgIttLoqjx1bg+3hSv13IBigfq/jvpdoK7DZVIwVobsBy5vAhx+gV
iHc42HWiah2qFLuYfyisgvqO4jaH0DU4FdZ7ytJ1DfwuHejwe7cGy9lTgfpB
a5BtuXAuyG4NMoLO3LkWtwbTp7Iv2t/B/y6+M2ukdg2Yi+2eRzCtwa3d7eX2
bOtwYLv+HyPbVeDi63LYFroO9KGB3yINVyGyfnYXS8o6bMh/WKzXWAU0ve/H
rsJ1kOKXPko+tQpu9wnh9sF1KG1UVgwaXAGUy7b749ENECoOPflSbgXev3pC
sMVsgJ7kVkrQmRV4EPkisjVzA84Wd1lGHVoBe4U2P9uyDVBMrS+xWVkGdRbT
709GNiBD+28NzfdlEF6+2dN7ZBOoVl9rP/VdBuOzqfSxwpsQMdUekmu3DMtt
HgeVL2/Cadf2Nlq1ZdhkGFISurcJlwWUuwyIJcg4/qCM++MmZJyOzVwfWwKD
SfHVrHDsxwNZ2pZNS0D2OPuBP3kT1A4WVO+OWYJLCu0+bys3YUKRRZ/+5hLc
vbTIIkbehJctVT9pvyxCJJVhHYcWGXiHL9rQvl6EBxIiShWPyBCTIVIzZbgI
JRalkVeekSH+jVbKA7FFqM2NXH7nSoYvM2/dt+oWIC1K/qBbCo672++6jmUs
AEeVhKJNDhnOcLouiAUvwKm9O+OES8gww1BzgdZwARirOvRX2sjg95l5vz9B
Avfrz962rJMhI+mBxd9BEtQJnftFUOG5oLt9QqOCBLv3v7KYpcN99HckT9kH
EuRlVM0ew3ktr05nOviSBF75H2IsDmOdlkk1Mn2PBEes3la/PUZAlmxmVz0/
CXo6/3HSi+Gff+V2MI6BBHciRZscJPEc7/b+/FTfPEhWndiTfwXX0ZYCtlrL
eeji0hiMUcJzORoX9v40B9HfHdIv6mOdbkyj5PtwDkqXNc8KG2EdceWQvavA
HAQ1JGmsmeE5QTxq9mbuLNwwya+jtybg4S+dd/xvZ2H6AMetO7Z4rlHYWlpW
nIU1F+cOe0cCmG/XvnTpnYELtAek7uA6y+dgFyEfMwOsZjtvMuE6PKQZkUL/
bAZqq1IzInCdtg6HUV+qGbDjOBdo+JGAsZlcvnK+adAUWRK1C8Nzjc+8RuTM
FJg/nM8Xx33DUrebzi1zCsaSn11owzosw1A62lB+Cu7O8+wsxrqJWfdSgsHu
KXCo0Ti+G+vkozQtL550TcJHDqd+GaybShyDqoLNJqH45IHN+5T7gkfS5orE
JsEzTz/lagb+eWGv3ct/J2BvwaloZtz3fpoYGZ6pmABd1tC5QqybnuyS4bPz
mwDpRLVgbdw3eboSbOq1J8BF1ziDcp/w5T/Wj6f5JuCC/KL8Zdxn7V+1dLNm
jcOdRwE0+bgvmyb92hP4ehzyvOQfNeG+bd0edYdPcRw6BBtu1uG+7mOX2JbP
Pg7tDSktP3Hff1pIn2cwMAa1gdWEPdYFDL2fRbkSxoBVlLH9NNYNFXJNTzut
x0BOO/FpFWaXfwe/Rl/BnMvSroh1xwWfJwtOjGNw1PPf8SzMoVEtiUbto+DK
xuFKh3XMI3XWPQ8iRuFLhdR+mTLK3+XZNNV9Mgq2tHt4DSn39Q777LGSGAW+
64zjFF1kfTPR0J96FD40XyijvP7R+UpHUd0IlH64c5JyX3C2gLqH6ssIxKlr
fWXCvE1lZUnFYASc1hLiC/Hn/5WqTUoRHoFfLKrUlPuC33+rfDtCHoaeC5M6
lPuCr5sTH0aVD0OV328/yn3B7zd8v5z3H4bv1Zr2Zfj8p2iHVwYeDENec/Le
fZhf/zt39NuJYbh4MOTRfWyv663NhRpFQ+D6O9U1i2LfyI2PKu+H4J3m+9gG
bP+PZ3dt6WkPwR4fX85erItaHWov1y0MgpVWQU1XHtaFndzq9XyDEFrC9cwR
+9uMhXfDl4R18xfN+ns4HmS+qsGT/AFw7q52PI/nuO+y+7VtNQegej5mYAHH
EyexMRd3dACID3wHm7Au6teoUZ4b7oeNqvKMdDznMTVGHGja1w823Jl97jge
bY+k3Nif2QcdvF+r7PGcJ603fy9UtQ/4lOvABsfv53dS7poevbCs/X7cG88B
146Lur472gtnCy03onG8ywh2nCIK/8ABWY+2GjxHLBj1b3lu9oDGJE+PFJ4z
dPS38ccG9YB3lLmiN55Dyvv/zBFiPdDA+oxtHM8tuhbNIV7N3TCtxhujhnnj
WqCWikU37LJHBjU4v7ZbFZ6/wdwNQ+rZ325hDpCokrFL7IIrlUUfZ/HclFrA
9LzvRhdI3L1k/wmz/svKTOvJThDv43Gi7D8s7m9cuuzRCawN1CWU/Yef9rDs
vnC8E3xldR4v4nxmvGY5pV/eAYF835wp+w8tnKX18h53wMoB+zOUOc9/vV9N
emcHGFxsfk+5Lyg1Rf9l6Xs73K+ZSP6HmbtwkrVJth0+F71OPInf/6Lz/q+d
I23AI9H5jTLnpQlYPH/h3QaLMR2laZj17JQ3zp5tgxCtlmYGfB5PekUptq5W
GKGx67Sk7K+SC7m593UreHR8GxnHfKnWUVL8eCscBOntT7F9fnPXMljXtwCb
6+2L27A9hZi1y5qtW8DXR+n9d8x7Z6+ZKR9qAU3RTwt3sP2/XelbGy5tBkaR
w3e4sH9uX/bRDXzSDByX73+bwGzpGGkv+7sJ1psmuTIpe/HLcjaQQRPUpJ2s
+Yl1c46G3IzariY4Mfb7bi6Ohzfuph8y7jcCneezRys4fibZBmapdzbCQsPz
Pn4cX8/d/xMov9sADLH6kvo4/mxN+xh/EHWg7rVvnox1O+fv6soU6RpQOLdU
/g3Xr1tNzvyk+jIQovlV0IzzNe7WwI/CI2Xg+UPL9EEFAWfkhmgDrUohNiq+
aLQSz7ncMzdkOUpA9UKFz3QNAdrbZUcOGhfDhzPH2YzqCMjjXipdzikCDWcj
/T/1BNApXP0T+qAQrmhyhvxswnNKu+iJfh0Axood6UwtBCQ7XhKxpS6AaO2X
C7qteM6WtVb+qJAHx5OJ2LF2XD/3zNGxzubAnEJ3BGcnATRdE+Fufv+3dObh
VH1dHCeKJKkMleFHg0xRIpIsQ0kZI5EGooREI4WUIg2akEqRZC5lCCFWIvM8
z+Ga52vmnurd93le/32e87jn7LW+e621971n7W8YvIFWtKeZrEMkbsQbN6Zi
oHKT5vFWCkeeqopFu39FJ0XxR2ZtzHMZ0q7QRVLwyeDJCY12CnuF1y4o5Cbh
RpZ/a0Q6KHwbnSd6/kwiFuLZD4OEXV/dqFVc9Rn9/zhZR/+m8BebJu2O2UdU
6vITMO0k+WUjGd2bWPydcy1snHCx79Wsya4odM350OrRRaF8vfIJQckPOJF8
NnOOsOPQSuEdzuGYybdFzrabeW5FJ9td+zcoVxEgn0M4bSZ3R9D0C4w7Rs/k
pFEYnhTb+ur2M7RaF16hRdg8nU1Vcv093D273NGJsLVQtM5mG1f86sjy2Jd5
LkqqRZHj3o1owXlF+QnhFU+XH1fmc4OMTd0szOtxcXcObTnpB9LKhs72hOsi
4t+tevUcnitU3FIhLJNLq7zt/RKehH5UmiHP0zMapdHtGArPumjPwghPDuf/
E4x/Dx8f6AQpEl5VmsqbEhYJpTGaOulkfF7Gc2c0AmNA8uXeFAnCHSEqQjl+
8bBUT3uC2f/Q3G2nnbRnAty7/1WkjNizfyGnRFMlER4EUg5LCDu69Kw6k5wE
17by8kkQ+x8fZTf3kE2BGc1rF5SJv5JPe6z1i/4KNysjWncRf/4xmb/mHpIO
fpsjp1hbyDpLR67yNF8GPLA7VFVB9DG3qopn75NMiFA7utWf2T/T1p6l2jsb
Ghyjn7QSfYnpr8Z9X3PhVGTptQGiz1CrItZ/IYXwciQr/DvJHw+OSsxMmRdB
dufCPV6Sj5OXdvHM8hXD56CY1eeY554teq+TeVoCaWPei2IkXxg6m3DY6peC
DJt4wT0yn66n1wokLy+DUrehldMkf3wQk8gM9ymHTboB8YOkvmgMXMmro1UB
NgNv5a+S+ZhbabKEh6USqK11j7hI/nhm5NPGqV4FzVyXXU+RdfTW8t8/pEKr
YPBqSqwIme/jB2SmT1NVYO8nPz9M4sFhKX1F0axq0J0qOfSNxI9KDlGZqA01
4GgnoZNO8sNB5X1aB91rYObiJaNCEm+u1Ia2rWipAeW1cQkDJD51678+Mra7
FjTt7YKECL+USmHQX9eC1SR9szWJZxvDLgqtW6wFp6xjl9JI/HvlmzFz2rIO
Cr4YeokSPq7zqKAqsw52nvmo84qZL2RL8s8K1cNImH0285wR8fa2TRs96+E8
x/mqHx+Y/daU+Tna68GdRndk9qfND44p4ldvAJH2ra7M/rXx+PyC0bsGCP/z
u4W5j9cceEwhlaUR8oJrbjP3+WYZKvt1bRqBOpduxMwPk/qnapfnN4JL0TY5
Zv4QtuQ18/ivCRYq7LiY+4hO6mzmgh5N8MXVMWQN+bx6D96yjoYmsLh8rFCb
MGXfHVmj0AySJ3iv3yW8497jiqknzRDelPG0mnCiX/F27eFm+NPHN7KNjMd/
c97H3AMtcE7ZxZY53u1LAgUuRrZAi4NHHi+xh2rcEjUj1laYO36lIpjwY77e
JqtTrXD0q5CqNLFn8r361xFZrZCtsvdzCeH3dS7r161vA1/ZjDw3Zr5+3Nvx
w7UNwrV52HcQf/WLd54IrWsDlxeKgzOEBUoudE4+awfelu1q4cTfs8fsTjiN
t0PP/lljH5IvfN4EeWww7IAL43oWl4g+GpvZ7/Fx/wZ13ZMDNkQ/u43Hu9X2
d4J38FKWh8nMfnKuDw9e6wQTMXv+t0SPwbxZWi5RnfCwofDMF6LXw7u2vGBf
1gWOZ3c51ZP6Ryj/kKh+UReIRR9XYyX6F73O0yKw0AXHJKj9/wjz6i+xmpPq
BvP1/pyzpP6V/rv749yjbrh9+Pu9YjJ/GvSHLQSyu2GYw1A+ktRnLsFqYbpj
3aBkO+10hcy3blH5V73GNFh2tyCdeU6KoI//f0Z3aDBUadcdQOq9LzllfcUp
NNC2tuyUZvY37G48YdZLA6OUtR3JhH8+DpmeEOgBe6+7/NL5zN8dFEi81e2B
7kOLlU8JS7o7XT7q3gPrIg7bMfsdKr15fvK/Tz1Af8mhuZnkPxGJ2Guz7eR6
rlLTYcLZTkuNW1f1Alf+rZTzhO8kHX5YrtkL+4DhwKyHs1W/lJRd6YUi7rT3
NoTpseE/mqJ6oV5LgxeY+4rRCZvojb3AOqB4nfk9vBT/mxR+rj44xTMZ+43c
/6jCKWUdtT7o1/viaUY449gqzzvOfTCa8KmhjYxnx80805LwPtDdfOy9IeGG
jKNBIrV9EKjiVRbP7HcewSbgubQfei9r69GJvQzubknpVe4H8brstRsJ88rI
6Vg69kPbGSNhZv902qv5uOa3/bBHffkJLea+obCQ0TzrAHh1tZ1cQerhw+tM
yQpjAHIXwm7UE3+ORApoaZ8dgEffWXwekvVNi6Qia2rRAPSbRWmnkvgm0Xd3
refiABiEvO2XJvpokvJz1JcdBNqfcLNHRD8pN+XUOZ8NglJ9kyk3qUcUXa0s
p3IH4danUxmyJL6xNk/P9k0NQn25yjNlUv/6f17xus98CPi4s3pWMNdznpzb
94oNQ6qeYE8MWQ/u+hWlaWMyDAN8qo18oRSWPhAz9vcZhrzzs7EOIRTWGH5/
ODIwDKoiLMlFQWS90K6/UVxoBIbkaF+qnxN7ryp8bG4wAqGDnzb8eELqlfDP
3AVJI7A37J3hofskHgtY8lG0EYjJHHja40PiVe/9FnmBUfisvHbHaW+i97Jq
Xn/3UfAMOWrwl6x/VwlE3J3RGoPgyfvliQ5k/n0u2TJ/dQyEk6w5D5wlevhT
lTYWPQYbJHL4M6xJPp5nHE3mGgdBNn+3beZkfS0umeKpNg6fVY+ryJlQqFBu
8UrJeRw+eHlFchhQGHVO1elC9Tg4lH+7rKlFIQSzFl5lnQDxscFj4WqknqHz
H966YQJiTXcv1O2i8F7FM55zehOwuksp67s0qU+EU16rJ0zA/lV1Eq685Plv
OzU//jUBwnr5Vy8vZ35PmO5R1j4Bgia9dhpLKFzreqyIn4cOtr3bZYynGBi0
s1689AIdepJoNaq1DNSaD+n186XDdEjEdSxh4BtfH/ftoXRI3+I7z/eTgTZa
vt+1y+jAs7O+XyGRgRQtO89BahJO25nvVn/IQG5TwwYXrUlYwXlA7cotBo78
KJQ/fnwSGjp+CVy+ykCZiTU7O/0nYfNQiFTFSQbeVEqffDU2CWeU/MuXyjEw
Lv1fWs6yKVCwZHv5VJyB+6KUKwtEp8BLWIWjl4+BqU1pGZ6GUyD0bvfq6cVF
VO078Oz6pylwfz37PSF/EQuMbMfi8qag2/Gd17u0RWx/7b7le8sUmF4Zf28d
u4gJso4mdzmn4f6m2uVHHi1iVGv+rvc207BuS/YLQaNFlPVwtHRYPQNcOms5
FyoW0MzPZLhIYgZ0YkWumeYs4L8AK4tVajMgccX88+OEBRyyOCBlajcDe0zM
h6MeLeBqw5C/hRkzwOFt8OuuzgLuuvTfl4kTs2Be7BlUkz6PHLc4D80Fz8Hk
LSsTyn8OcwuCFCti50A77N8+Xo85zN7m4P0ycw7iFlW/CjjM4XB16zrWjjn4
YF20g7FvDsfdHNnlN89DaadT4iZqFiUDD/t2JsyDshJ+mDg3i7X0rNyanHkw
51jWLmM2i/kXxTK+Vs7DMqVidwutWcwTu9yxnz4P1C/t5z7Cs6hiWefsv3MB
Yvc4rRKpmsGgU+7e7F8X4EjiqXnazhl0VA3f8T5vAax77BksYjPo3O/tJ167
AIJBNeMc3DP4vmCbTzF9ATrWxlZW06bRw8SEO3TbIjzVaJ/VDZjGQdc7B/eq
LQKHei973M1pDGcdbMg4tAh2L8NDx+2nMYznscW+c4vgKftUWB6m8YZeSINf
2CIE/pznvDg0hTz8C8emPi6Com3ANFU3hTbbTv5VzFiEsVzzPGecwoZ1DtYq
tYvAxqHBwho0hU2LhpIKSxmQcLl+umvPFGoYsbHGWTPAe5feztx7k/iup9pB
yokBLw5G7sq+MImdmyTLLrsxoOm6pnLokUns+FkbavWYAQWLN3O5Nk7iEx3r
u2/SGDD+cT93TBYdl0REFp/8wQAun/mVFe/pWH7A7WJ/MQMcdBx02vzo6HJt
0sm4jQHf1VnkEk3puL9Mhn79LwPecx09uG9oAkvEjOquLWO+15JjkFI5gbtF
fuSp8lDg/C5jBU8qub7fyEtUhAJzfpb4B7cmkJX151H1zRSw3boq9OnMBBYf
nzCTlKFAj+f3ueyDE2jwuiXjpAoFTXLdXIlrJ/CXs2huvDoFn0dFLCTo4/g9
bEL+1z4KRIJTrlZnjmP56WA+O2MKlK/0RbQbjKOw/YLI1bMURKcxtrBeGcOs
O5Uquo4UHBPzcRNXG0NeO9MuujMF8brKXEpLx3DO5N7WEjcKSpf//aT2chQr
racmFj0oWKFF41C0HsVngrZhS29TYG1tp7JFahQjd2f+++RHgTR96SFG5ghO
BWOT3iMKxqPvbqLdHcFfr5a1Fj2hgDenLadEfwQdVVR0T7+g4K/cSuewjmE0
NpAT3vyeAuGAUDO3JcM49Cq3rewDBYsPVjvfLB1CiRVHlllGU5Asm3X+UdAQ
Ghq6nd30kYK7XaE+uRJDWNr0yMw6gYIzK09EDo0PovvUgS13v5D7ix9KFckY
RM094tIeKRQED03/idAbxCPUhUjjVAoujQblzvANYqtM3GPudAreph0PNO0Y
QGXzy7Ofv1Fg49cQ8z1mAHM1Nw8rZ1JwcX2g/I5LA/hez98tJouC2SNOlkmq
A5jFORz15zsFwJZ1dC/7AOpI3/BWzaGgONTDtL68HyVeufOdQgqEpJK8brzs
R5clQ4W2PygQLxYN3GrTj+rSUgqHcylQ0+HL6ZLtx1sFj05K/KTAUOY/mdi5
PmzZttqMxuxnckl2mcfPPtx5W1Lifh4F/9n0elo+7sNjWa6dfPkUtD91ytGx
6MNLo4uvHxBuGrvxFzb14e1QU5c+wvEFZtd0xnpxbs3e+zLM9zKUWG0tM3rx
Cvug4DHC81lrVnn69OK6y5anXQh7GT4o/WjUi29FVdOdCV+IFZke3NCLZdIH
bpkz+yHmKk3s6uvB29VcO6QJJ4jp7QhM6kHtnv0W/eR+4gkciv88e9Av/G8A
qdtA491OLw/dHtSLSAjcRFhTMuQdJ18Pjrbu/C+SjCd/flQ+5jcNT44W8qwh
PKbvUWn+kYZzWQcMnJnvZTyP2SzkRkN9OeGmDGKvR6pTrXQtGrJ/sc6aIfbM
P1sZ2cZDQ0aZDIs2sfePI6920KO7scEGUpn9Dct9SsyEr3Sj8WGxs1bZFERE
u+qegm40COt+e4T40yVaUlqqqQsldylsoqcRPWgFaA1zdeE1/nUmlUQv3rKN
59sbO7GkRcnl01fyPK9u5w9FduLrP+9u2idTICM4GW4BnWhttTh+MIkCWZfX
bRncnZhh8MdQPpGC2OYV512+/sZPE01vuD5ToLu7z5lvuAO3MaZrlxD9rrFY
5pZzrwO7uk7eZ/tE9BdmuPHDxg4s7A+02BhPxiv9wF/4eDv2B7BraMVRUG1f
vzZprg0nVhTudo6lYIOOetWtoDbsKDaQGSXzRVhdd09JRSveXPxrpknYetS5
ap9TK059m5r/EEXig8tFx7nlrZh61teLn/C+ri6NrpgWzE1iqAdHEv0+ueDK
qtOCJxra70gw+1c9FBY272lGvW2RvgXMflRPfyl23WlGW9EhV1fCB/Wn0sLE
m7GcX9VrF+GQ9fRnT340oeLNzd+XEQ4WVov/YtWES5ozDfojKKj53tHH8q8R
P/ivMGC+J9Zmwy3pHdaICo0etcz3xO6fVjaUV2/EAwqSC8z+Vp9EX6pwdTRg
w7RSAw/5vHemmgW8Xg0o0prlrUWYT0i/XlO0Afua6tb4EXYrjdd+m1OP9yjZ
Fcz+qM4WjqcbztajocZ07k4yngw1TUuFlfVYSC/UCSc89C9B68vXOjRYYhYj
ROwxdrVgm/6JOnRkfT0aRbji1npZTvY6nL46JQLEni/cnh3q/liL2/M27+on
LOLCF9BsWos5E5nSYTEU5NnuWTbKqMFVPaJ9tsQ/Juk7o4Qia7Bg+W4dFeI/
hYAWuzP6NdioKCjFTeJZ6tyHtRqh1ei99Zr4CuL/lD1zVVX7q/FnOVucINGH
xsSHo25jVTjmWxdvTuLb2jdn5Vk1qlBI3lr8IdGXq2DT+fzqSlTrYhcrIvr7
MXmgNXZTJVpJ3l5+huh1l+9kaGVhOQoMNnIsI/GM5zfQj6wuJSVgu5NsAQUW
CryfnGJ+obRQi/zXQgqa0741mi3mo2FIpsvuYgo4Fdrvaxnko4XC9iCVMpIP
+iRCxKd+Ytny1c8Tyylg9wjIX63zE0feee3dWEnu5yjIxfo6F/WtLs+MVZP4
RY9/2Kz+A/XDqlV0aylgsG1PvLMJMbuS4x2zH+Kb2ZOlh4qzMcf93Gf+RuK/
YNUluXxZ2BWe3aPVRMHMSe7mC5kZqBWw0dK2mYL17LPvea2/Yfk6vgyPVgqc
1G/aK39MxdyUjojLbeT/HeuuZBl/RZqLZpllOwVH5st9lWaT8U6FTMvODgq2
iSlNR71JwgBRwdt/CDe/5JFbqZmIZ2P8bqX/puDO3iaXxrIEPKq/NeZ0J9H3
GgdjH8GPmP7FvZpBWPsW+4GNNrEo+vsgzbeL+DPTNzn5UxTqxfUW/2P2B/zm
yao8F4E15WduOHRTMNqyIyFRMxxPlfQM/SSsvd/0vNa6Nzio37OBm0ZBJJzY
y5fwAt1FfnPsJ3zRKrG1WfMZdvYdSrpAuG6+PEo2wRcb1SiBe4RZuuiokHAN
dz+hqTxh8v///gegmmRj
"]]},
Annotation[#,
"Charting`Private`Tag$144089#1"]& ]}, {}, {{{}, {}, {}, {}}, {}}}, \
{}}},
PlotPoints -> 65,
WorkingPrecision -> 10,
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->NCache[{{-16,
Rational[-255, 16],
Rational[-127, 8],
Rational[-253, 16],
Rational[-63, 4],
Rational[-251, 16],
Rational[-125, 8],
Rational[-249, 16],
Rational[-31, 2],
Rational[-247, 16],
Rational[-123, 8],
Rational[-245, 16],
Rational[-61, 4],
Rational[-243, 16],
Rational[-121, 8],
Rational[-241, 16], -15,
Rational[-239, 16],
Rational[-119, 8],
Rational[-237, 16],
Rational[-59, 4],
Rational[-235, 16],
Rational[-117, 8],
Rational[-233, 16],
Rational[-29, 2],
Rational[-231, 16],
Rational[-115, 8],
Rational[-229, 16],
Rational[-57, 4],
Rational[-227, 16],
Rational[-113, 8],
Rational[-225, 16], -14,
Rational[-223, 16],
Rational[-111, 8],
Rational[-221, 16],
Rational[-55, 4],
Rational[-219, 16],
Rational[-109, 8],
Rational[-217, 16],
Rational[-27, 2],
Rational[-215, 16],
Rational[-107, 8],
Rational[-213, 16],
Rational[-53, 4],
Rational[-211, 16],
Rational[-105, 8],
Rational[-209, 16], -13,
Rational[-207, 16],
Rational[-103, 8],
Rational[-205, 16],
Rational[-51, 4],
Rational[-203, 16],
Rational[-101, 8],
Rational[-201, 16],
Rational[-25, 2],
Rational[-199, 16],
Rational[-99, 8],
Rational[-197, 16],
Rational[-49, 4],
Rational[-195, 16],
Rational[-97, 8],
Rational[-193, 16], -12,
Rational[-191, 16],
Rational[-95, 8],
Rational[-189, 16],
Rational[-47, 4],
Rational[-187, 16],
Rational[-93, 8],
Rational[-185, 16],
Rational[-23, 2],
Rational[-183, 16],
Rational[-91, 8],
Rational[-181, 16],
Rational[-45, 4],
Rational[-179, 16],
Rational[-89, 8],
Rational[-177, 16], -11,
Rational[-175, 16],
Rational[-87, 8],
Rational[-173, 16],
Rational[-43, 4],
Rational[-171, 16],
Rational[-85, 8],
Rational[-169, 16],
Rational[-21, 2],
Rational[-167, 16],
Rational[-83, 8],
Rational[-165, 16],
Rational[-41, 4],
Rational[-163, 16],
Rational[-81, 8],
Rational[-161, 16], -10,
Rational[-159, 16],
Rational[-79, 8],
Rational[-157, 16],
Rational[-39, 4],
Rational[-155, 16],
Rational[-77, 8],
Rational[-153, 16],
Rational[-19, 2],
Rational[-151, 16],
Rational[-75, 8],
Rational[-149, 16],
Rational[-37, 4],
Rational[-147, 16],
Rational[-73, 8],
Rational[-145, 16], -9,
Rational[-143, 16],
Rational[-71, 8],
Rational[-141, 16],
Rational[-35, 4],
Rational[-139, 16],
Rational[-69, 8],
Rational[-137, 16],
Rational[-17, 2],
Rational[-135, 16],
Rational[-67, 8],
Rational[-133, 16],
Rational[-33, 4],
Rational[-131, 16],
Rational[-65, 8],
Rational[-129, 16], -8,
Rational[-127, 16],
Rational[-63, 8],
Rational[-125, 16],
Rational[-31, 4],
Rational[-123, 16],
Rational[-61, 8],
Rational[-121, 16],
Rational[-15, 2],
Rational[-119, 16],
Rational[-59, 8],
Rational[-117, 16],
Rational[-29, 4],
Rational[-115, 16],
Rational[-57, 8],
Rational[-113, 16], -7,
Rational[-111, 16],
Rational[-55, 8],
Rational[-109, 16],
Rational[-27, 4],
Rational[-107, 16],
Rational[-53, 8],
Rational[-105, 16],
Rational[-13, 2],
Rational[-103, 16],
Rational[-51, 8],
Rational[-101, 16],
Rational[-25, 4],
Rational[-99, 16],
Rational[-49, 8],
Rational[-97, 16], -6,
Rational[-95, 16],
Rational[-47, 8],
Rational[-93, 16],
Rational[-23, 4],
Rational[-91, 16],
Rational[-45, 8],
Rational[-89, 16],
Rational[-11, 2],
Rational[-87, 16],
Rational[-43, 8],
Rational[-85, 16],
Rational[-21, 4],
Rational[-83, 16],
Rational[-41, 8],
Rational[-81, 16], -5,
Rational[-79, 16],
Rational[-39, 8],
Rational[-77, 16],
Rational[-19, 4],
Rational[-75, 16],
Rational[-37, 8],
Rational[-73, 16],
Rational[-9, 2],
Rational[-71, 16],
Rational[-35, 8],
Rational[-69, 16],
Rational[-17, 4],
Rational[-67, 16],
Rational[-33, 8],
Rational[-65, 16], -4,
Rational[-63, 16],
Rational[-31, 8],
Rational[-61, 16],
Rational[-15, 4],
Rational[-59, 16],
Rational[-29, 8],
Rational[-57, 16],
Rational[-7, 2],
Rational[-55, 16],
Rational[-27, 8],
Rational[-53, 16],
Rational[-13, 4],
Rational[-51, 16],
Rational[-25, 8],
Rational[-49, 16], -3,
Rational[-47, 16],
Rational[-23, 8],
Rational[-45, 16],
Rational[-11, 4],
Rational[-43, 16],
Rational[-21, 8],
Rational[-41, 16],
Rational[-5, 2],
Rational[-39, 16],
Rational[-19, 8],
Rational[-37, 16],
Rational[-9, 4],
Rational[-35, 16],
Rational[-17, 8],
Rational[-33, 16], -2,
Rational[-31, 16],
Rational[-15, 8],
Rational[-29, 16],
Rational[-7, 4],
Rational[-27, 16],
Rational[-13, 8],
Rational[-25, 16],
Rational[-3, 2],
Rational[-23, 16],
Rational[-11, 8],
Rational[-21, 16],
Rational[-5, 4],
Rational[-19, 16],
Rational[-9, 8],
Rational[-17, 16], -1,
Rational[-15, 16],
Rational[-7, 8],
Rational[-13, 16],
Rational[-3, 4],
Rational[-11, 16],
Rational[-5, 8],
Rational[-9, 16],
Rational[-1, 2],
Rational[-7, 16],
Rational[-3, 8],
Rational[-5, 16],
Rational[-1, 4],
Rational[-3, 16],
Rational[-1, 8],
Rational[-1, 16], 0,
Rational[1, 16],
Rational[1, 8],
Rational[3, 16],
Rational[1, 4],
Rational[5, 16],
Rational[3, 8],
Rational[7, 16],
Rational[1, 2],
Rational[9, 16],
Rational[5, 8],
Rational[11, 16],
Rational[3, 4],
Rational[13, 16],
Rational[7, 8],
Rational[15, 16], 1,
Rational[17, 16],
Rational[9, 8],
Rational[19, 16],
Rational[5, 4],
Rational[21, 16],
Rational[11, 8],
Rational[23, 16],
Rational[3, 2],
Rational[25, 16],
Rational[13, 8],
Rational[27, 16],
Rational[7, 4],
Rational[29, 16],
Rational[15, 8],
Rational[31, 16], 2,
Rational[33, 16],
Rational[17, 8],
Rational[35, 16],
Rational[9, 4],
Rational[37, 16],
Rational[19, 8],
Rational[39, 16],
Rational[5, 2],
Rational[41, 16],
Rational[21, 8],
Rational[43, 16],
Rational[11, 4],
Rational[45, 16],
Rational[23, 8],
Rational[47, 16], 3,
Rational[49, 16],
Rational[25, 8],
Rational[51, 16],
Rational[13, 4],
Rational[53, 16],
Rational[27, 8],
Rational[55, 16],
Rational[7, 2],
Rational[57, 16],
Rational[29, 8],
Rational[59, 16],
Rational[15, 4],
Rational[61, 16],
Rational[31, 8],
Rational[63, 16], 4,
Rational[65, 16],
Rational[33, 8],
Rational[67, 16],
Rational[17, 4],
Rational[69, 16],
Rational[35, 8],
Rational[71, 16],
Rational[9, 2],
Rational[73, 16],
Rational[37, 8],
Rational[75, 16],
Rational[19, 4],
Rational[77, 16],
Rational[39, 8],
Rational[79, 16], 5,
Rational[81, 16],
Rational[41, 8],
Rational[83, 16],
Rational[21, 4],
Rational[85, 16],
Rational[43, 8],
Rational[87, 16],
Rational[11, 2],
Rational[89, 16],
Rational[45, 8],
Rational[91, 16],
Rational[23, 4],
Rational[93, 16],
Rational[47, 8],
Rational[95, 16], 6,
Rational[97, 16],
Rational[49, 8],
Rational[99, 16],
Rational[25, 4],
Rational[101, 16],
Rational[51, 8],
Rational[103, 16],
Rational[13, 2],
Rational[105, 16],
Rational[53, 8],
Rational[107, 16],
Rational[27, 4],
Rational[109, 16],
Rational[55, 8],
Rational[111, 16], 7,
Rational[113, 16],
Rational[57, 8],
Rational[115, 16],
Rational[29, 4],
Rational[117, 16],
Rational[59, 8],
Rational[119, 16],
Rational[15, 2],
Rational[121, 16],
Rational[61, 8],
Rational[123, 16],
Rational[31, 4],
Rational[125, 16],
Rational[63, 8],
Rational[127, 16], 8,
Rational[129, 16],
Rational[65, 8],
Rational[131, 16],
Rational[33, 4],
Rational[133, 16],
Rational[67, 8],
Rational[135, 16],
Rational[17, 2],
Rational[137, 16],
Rational[69, 8],
Rational[139, 16],
Rational[35, 4],
Rational[141, 16],
Rational[71, 8],
Rational[143, 16], 9,
Rational[145, 16],
Rational[73, 8],
Rational[147, 16],
Rational[37, 4],
Rational[149, 16],
Rational[75, 8],
Rational[151, 16],
Rational[19, 2],
Rational[153, 16],
Rational[77, 8],
Rational[155, 16],
Rational[39, 4],
Rational[157, 16],
Rational[79, 8],
Rational[159, 16], 10,
Rational[161, 16],
Rational[81, 8],
Rational[163, 16],
Rational[41, 4],
Rational[165, 16],
Rational[83, 8],
Rational[167, 16],
Rational[21, 2],
Rational[169, 16],
Rational[85, 8],
Rational[171, 16],
Rational[43, 4],
Rational[173, 16],
Rational[87, 8],
Rational[175, 16], 11,
Rational[177, 16],
Rational[89, 8],
Rational[179, 16],
Rational[45, 4],
Rational[181, 16],
Rational[91, 8],
Rational[183, 16],
Rational[23, 2],
Rational[185, 16],
Rational[93, 8],
Rational[187, 16],
Rational[47, 4],
Rational[189, 16],
Rational[95, 8],
Rational[191, 16], 12,
Rational[193, 16],
Rational[97, 8],
Rational[195, 16],
Rational[49, 4],
Rational[197, 16],
Rational[99, 8],
Rational[199, 16],
Rational[25, 2],
Rational[201, 16],
Rational[101, 8],
Rational[203, 16],
Rational[51, 4],
Rational[205, 16],
Rational[103, 8],
Rational[207, 16], 13,
Rational[209, 16],
Rational[105, 8],
Rational[211, 16],
Rational[53, 4],
Rational[213, 16],
Rational[107, 8],
Rational[215, 16],
Rational[27, 2],
Rational[217, 16],
Rational[109, 8],
Rational[219, 16],
Rational[55, 4],
Rational[221, 16],
Rational[111, 8],
Rational[223, 16], 14,
Rational[225, 16],
Rational[113, 8],
Rational[227, 16],
Rational[57, 4],
Rational[229, 16],
Rational[115, 8],
Rational[231, 16],
Rational[29, 2],
Rational[233, 16],
Rational[117, 8],
Rational[235, 16],
Rational[59, 4],
Rational[237, 16],
Rational[119, 8],
Rational[239, 16], 15,
Rational[241, 16],
Rational[121, 8],
Rational[243, 16],
Rational[61, 4],
Rational[245, 16],
Rational[123, 8],
Rational[247, 16],
Rational[31, 2],
Rational[249, 16],
Rational[125, 8],
Rational[251, 16],
Rational[63, 4],
Rational[253, 16],
Rational[127, 8],
Rational[255, 16], 16}, {-16,
Rational[-255, 16],
Rational[-127, 8],
Rational[-253, 16],
Rational[-63, 4],
Rational[-251, 16],
Rational[-125, 8],
Rational[-249, 16],
Rational[-31, 2],
Rational[-247, 16],
Rational[-123, 8],
Rational[-245, 16],
Rational[-61, 4],
Rational[-243, 16],
Rational[-121, 8],
Rational[-241, 16], -15,
Rational[-239, 16],
Rational[-119, 8],
Rational[-237, 16],
Rational[-59, 4],
Rational[-235, 16],
Rational[-117, 8],
Rational[-233, 16],
Rational[-29, 2],
Rational[-231, 16],
Rational[-115, 8],
Rational[-229, 16],
Rational[-57, 4],
Rational[-227, 16],
Rational[-113, 8],
Rational[-225, 16], -14,
Rational[-223, 16],
Rational[-111, 8],
Rational[-221, 16],
Rational[-55, 4],
Rational[-219, 16],
Rational[-109, 8],
Rational[-217, 16],
Rational[-27, 2],
Rational[-215, 16],
Rational[-107, 8],
Rational[-213, 16],
Rational[-53, 4],
Rational[-211, 16],
Rational[-105, 8],
Rational[-209, 16], -13,
Rational[-207, 16],
Rational[-103, 8],
Rational[-205, 16],
Rational[-51, 4],
Rational[-203, 16],
Rational[-101, 8],
Rational[-201, 16],
Rational[-25, 2],
Rational[-199, 16],
Rational[-99, 8],
Rational[-197, 16],
Rational[-49, 4],
Rational[-195, 16],
Rational[-97, 8],
Rational[-193, 16], -12,
Rational[-191, 16],
Rational[-95, 8],
Rational[-189, 16],
Rational[-47, 4],
Rational[-187, 16],
Rational[-93, 8],
Rational[-185, 16],
Rational[-23, 2],
Rational[-183, 16],
Rational[-91, 8],
Rational[-181, 16],
Rational[-45, 4],
Rational[-179, 16],
Rational[-89, 8],
Rational[-177, 16], -11,
Rational[-175, 16],
Rational[-87, 8],
Rational[-173, 16],
Rational[-43, 4],
Rational[-171, 16],
Rational[-85, 8],
Rational[-169, 16],
Rational[-21, 2],
Rational[-167, 16],
Rational[-83, 8],
Rational[-165, 16],
Rational[-41, 4],
Rational[-163, 16],
Rational[-81, 8],
Rational[-161, 16], -10,
Rational[-159, 16],
Rational[-79, 8],
Rational[-157, 16],
Rational[-39, 4],
Rational[-155, 16],
Rational[-77, 8],
Rational[-153, 16],
Rational[-19, 2],
Rational[-151, 16],
Rational[-75, 8],
Rational[-149, 16],
Rational[-37, 4],
Rational[-147, 16],
Rational[-73, 8],
Rational[-145, 16], -9,
Rational[-143, 16],
Rational[-71, 8],
Rational[-141, 16],
Rational[-35, 4],
Rational[-139, 16],
Rational[-69, 8],
Rational[-137, 16],
Rational[-17, 2],
Rational[-135, 16],
Rational[-67, 8],
Rational[-133, 16],
Rational[-33, 4],
Rational[-131, 16],
Rational[-65, 8],
Rational[-129, 16], -8,
Rational[-127, 16],
Rational[-63, 8],
Rational[-125, 16],
Rational[-31, 4],
Rational[-123, 16],
Rational[-61, 8],
Rational[-121, 16],
Rational[-15, 2],
Rational[-119, 16],
Rational[-59, 8],
Rational[-117, 16],
Rational[-29, 4],
Rational[-115, 16],
Rational[-57, 8],
Rational[-113, 16], -7,
Rational[-111, 16],
Rational[-55, 8],
Rational[-109, 16],
Rational[-27, 4],
Rational[-107, 16],
Rational[-53, 8],
Rational[-105, 16],
Rational[-13, 2],
Rational[-103, 16],
Rational[-51, 8],
Rational[-101, 16],
Rational[-25, 4],
Rational[-99, 16],
Rational[-49, 8],
Rational[-97, 16], -6,
Rational[-95, 16],
Rational[-47, 8],
Rational[-93, 16],
Rational[-23, 4],
Rational[-91, 16],
Rational[-45, 8],
Rational[-89, 16],
Rational[-11, 2],
Rational[-87, 16],
Rational[-43, 8],
Rational[-85, 16],
Rational[-21, 4],
Rational[-83, 16],
Rational[-41, 8],
Rational[-81, 16], -5,
Rational[-79, 16],
Rational[-39, 8],
Rational[-77, 16],
Rational[-19, 4],
Rational[-75, 16],
Rational[-37, 8],
Rational[-73, 16],
Rational[-9, 2],
Rational[-71, 16],
Rational[-35, 8],
Rational[-69, 16],
Rational[-17, 4],
Rational[-67, 16],
Rational[-33, 8],
Rational[-65, 16], -4,
Rational[-63, 16],
Rational[-31, 8],
Rational[-61, 16],
Rational[-15, 4],
Rational[-59, 16],
Rational[-29, 8],
Rational[-57, 16],
Rational[-7, 2],
Rational[-55, 16],
Rational[-27, 8],
Rational[-53, 16],
Rational[-13, 4],
Rational[-51, 16],
Rational[-25, 8],
Rational[-49, 16], -3,
Rational[-47, 16],
Rational[-23, 8],
Rational[-45, 16],
Rational[-11, 4],
Rational[-43, 16],
Rational[-21, 8],
Rational[-41, 16],
Rational[-5, 2],
Rational[-39, 16],
Rational[-19, 8],
Rational[-37, 16],
Rational[-9, 4],
Rational[-35, 16],
Rational[-17, 8],
Rational[-33, 16], -2,
Rational[-31, 16],
Rational[-15, 8],
Rational[-29, 16],
Rational[-7, 4],
Rational[-27, 16],
Rational[-13, 8],
Rational[-25, 16],
Rational[-3, 2],
Rational[-23, 16],
Rational[-11, 8],
Rational[-21, 16],
Rational[-5, 4],
Rational[-19, 16],
Rational[-9, 8],
Rational[-17, 16], -1,
Rational[-15, 16],
Rational[-7, 8],
Rational[-13, 16],
Rational[-3, 4],
Rational[-11, 16],
Rational[-5, 8],
Rational[-9, 16],
Rational[-1, 2],
Rational[-7, 16],
Rational[-3, 8],
Rational[-5, 16],
Rational[-1, 4],
Rational[-3, 16],
Rational[-1, 8],
Rational[-1, 16], 0,
Rational[1, 16],
Rational[1, 8],
Rational[3, 16],
Rational[1, 4],
Rational[5, 16],
Rational[3, 8],
Rational[7, 16],
Rational[1, 2],
Rational[9, 16],
Rational[5, 8],
Rational[11, 16],
Rational[3, 4],
Rational[13, 16],
Rational[7, 8],
Rational[15, 16], 1,
Rational[17, 16],
Rational[9, 8],
Rational[19, 16],
Rational[5, 4],
Rational[21, 16],
Rational[11, 8],
Rational[23, 16],
Rational[3, 2],
Rational[25, 16],
Rational[13, 8],
Rational[27, 16],
Rational[7, 4],
Rational[29, 16],
Rational[15, 8],
Rational[31, 16], 2,
Rational[33, 16],
Rational[17, 8],
Rational[35, 16],
Rational[9, 4],
Rational[37, 16],
Rational[19, 8],
Rational[39, 16],
Rational[5, 2],
Rational[41, 16],
Rational[21, 8],
Rational[43, 16],
Rational[11, 4],
Rational[45, 16],
Rational[23, 8],
Rational[47, 16], 3,
Rational[49, 16],
Rational[25, 8],
Rational[51, 16],
Rational[13, 4],
Rational[53, 16],
Rational[27, 8],
Rational[55, 16],
Rational[7, 2],
Rational[57, 16],
Rational[29, 8],
Rational[59, 16],
Rational[15, 4],
Rational[61, 16],
Rational[31, 8],
Rational[63, 16], 4,
Rational[65, 16],
Rational[33, 8],
Rational[67, 16],
Rational[17, 4],
Rational[69, 16],
Rational[35, 8],
Rational[71, 16],
Rational[9, 2],
Rational[73, 16],
Rational[37, 8],
Rational[75, 16],
Rational[19, 4],
Rational[77, 16],
Rational[39, 8],
Rational[79, 16], 5,
Rational[81, 16],
Rational[41, 8],
Rational[83, 16],
Rational[21, 4],
Rational[85, 16],
Rational[43, 8],
Rational[87, 16],
Rational[11, 2],
Rational[89, 16],
Rational[45, 8],
Rational[91, 16],
Rational[23, 4],
Rational[93, 16],
Rational[47, 8],
Rational[95, 16], 6,
Rational[97, 16],
Rational[49, 8],
Rational[99, 16],
Rational[25, 4],
Rational[101, 16],
Rational[51, 8],
Rational[103, 16],
Rational[13, 2],
Rational[105, 16],
Rational[53, 8],
Rational[107, 16],
Rational[27, 4],
Rational[109, 16],
Rational[55, 8],
Rational[111, 16], 7,
Rational[113, 16],
Rational[57, 8],
Rational[115, 16],
Rational[29, 4],
Rational[117, 16],
Rational[59, 8],
Rational[119, 16],
Rational[15, 2],
Rational[121, 16],
Rational[61, 8],
Rational[123, 16],
Rational[31, 4],
Rational[125, 16],
Rational[63, 8],
Rational[127, 16], 8,
Rational[129, 16],
Rational[65, 8],
Rational[131, 16],
Rational[33, 4],
Rational[133, 16],
Rational[67, 8],
Rational[135, 16],
Rational[17, 2],
Rational[137, 16],
Rational[69, 8],
Rational[139, 16],
Rational[35, 4],
Rational[141, 16],
Rational[71, 8],
Rational[143, 16], 9,
Rational[145, 16],
Rational[73, 8],
Rational[147, 16],
Rational[37, 4],
Rational[149, 16],
Rational[75, 8],
Rational[151, 16],
Rational[19, 2],
Rational[153, 16],
Rational[77, 8],
Rational[155, 16],
Rational[39, 4],
Rational[157, 16],
Rational[79, 8],
Rational[159, 16], 10,
Rational[161, 16],
Rational[81, 8],
Rational[163, 16],
Rational[41, 4],
Rational[165, 16],
Rational[83, 8],
Rational[167, 16],
Rational[21, 2],
Rational[169, 16],
Rational[85, 8],
Rational[171, 16],
Rational[43, 4],
Rational[173, 16],
Rational[87, 8],
Rational[175, 16], 11,
Rational[177, 16],
Rational[89, 8],
Rational[179, 16],
Rational[45, 4],
Rational[181, 16],
Rational[91, 8],
Rational[183, 16],
Rational[23, 2],
Rational[185, 16],
Rational[93, 8],
Rational[187, 16],
Rational[47, 4],
Rational[189, 16],
Rational[95, 8],
Rational[191, 16], 12,
Rational[193, 16],
Rational[97, 8],
Rational[195, 16],
Rational[49, 4],
Rational[197, 16],
Rational[99, 8],
Rational[199, 16],
Rational[25, 2],
Rational[201, 16],
Rational[101, 8],
Rational[203, 16],
Rational[51, 4],
Rational[205, 16],
Rational[103, 8],
Rational[207, 16], 13,
Rational[209, 16],
Rational[105, 8],
Rational[211, 16],
Rational[53, 4],
Rational[213, 16],
Rational[107, 8],
Rational[215, 16],
Rational[27, 2],
Rational[217, 16],
Rational[109, 8],
Rational[219, 16],
Rational[55, 4],
Rational[221, 16],
Rational[111, 8],
Rational[223, 16], 14,
Rational[225, 16],
Rational[113, 8],
Rational[227, 16],
Rational[57, 4],
Rational[229, 16],
Rational[115, 8],
Rational[231, 16],
Rational[29, 2],
Rational[233, 16],
Rational[117, 8],
Rational[235, 16],
Rational[59, 4],
Rational[237, 16],
Rational[119, 8],
Rational[239, 16], 15,
Rational[241, 16],
Rational[121, 8],
Rational[243, 16],
Rational[61, 4],
Rational[245, 16],
Rational[123, 8],
Rational[247, 16],
Rational[31, 2],
Rational[249, 16],
Rational[125, 8],
Rational[251, 16],
Rational[63, 4],
Rational[253, 16],
Rational[127, 8],
Rational[255, 16],
16}}, {{-16, -15.9375, -15.875, -15.8125, -15.75, -15.6875, -15.625, \
-15.5625, -15.5, -15.4375, -15.375, -15.3125, -15.25, -15.1875, -15.125, \
-15.0625, -15, -14.9375, -14.875, -14.8125, -14.75, -14.6875, -14.625, \
-14.5625, -14.5, -14.4375, -14.375, -14.3125, -14.25, -14.1875, -14.125, \
-14.0625, -14, -13.9375, -13.875, -13.8125, -13.75, -13.6875, -13.625, \
-13.5625, -13.5, -13.4375, -13.375, -13.3125, -13.25, -13.1875, -13.125, \
-13.0625, -13, -12.9375, -12.875, -12.8125, -12.75, -12.6875, -12.625, \
-12.5625, -12.5, -12.4375, -12.375, -12.3125, -12.25, -12.1875, -12.125, \
-12.0625, -12, -11.9375, -11.875, -11.8125, -11.75, -11.6875, -11.625, \
-11.5625, -11.5, -11.4375, -11.375, -11.3125, -11.25, -11.1875, -11.125, \
-11.0625, -11, -10.9375, -10.875, -10.8125, -10.75, -10.6875, -10.625, \
-10.5625, -10.5, -10.4375, -10.375, -10.3125, -10.25, -10.1875, -10.125, \
-10.0625, -10, -9.9375, -9.875, -9.8125, -9.75, -9.6875, -9.625, -9.5625, \
-9.5, -9.4375, -9.375, -9.3125, -9.25, -9.1875, -9.125, -9.0625, -9, -8.9375, \
-8.875, -8.8125, -8.75, -8.6875, -8.625, -8.5625, -8.5, -8.4375, -8.375, \
-8.3125, -8.25, -8.1875, -8.125, -8.0625, -8, -7.9375, -7.875, -7.8125, \
-7.75, -7.6875, -7.625, -7.5625, -7.5, -7.4375, -7.375, -7.3125, -7.25, \
-7.1875, -7.125, -7.0625, -7, -6.9375, -6.875, -6.8125, -6.75, -6.6875, \
-6.625, -6.5625, -6.5, -6.4375, -6.375, -6.3125, -6.25, -6.1875, -6.125, \
-6.0625, -6, -5.9375, -5.875, -5.8125, -5.75, -5.6875, -5.625, -5.5625, -5.5, \
-5.4375, -5.375, -5.3125, -5.25, -5.1875, -5.125, -5.0625, -5, -4.9375, \
-4.875, -4.8125, -4.75, -4.6875, -4.625, -4.5625, -4.5, -4.4375, -4.375, \
-4.3125, -4.25, -4.1875, -4.125, -4.0625, -4, -3.9375, -3.875, -3.8125, \
-3.75, -3.6875, -3.625, -3.5625, -3.5, -3.4375, -3.375, -3.3125, -3.25, \
-3.1875, -3.125, -3.0625, -3, -2.9375, -2.875, -2.8125, -2.75, -2.6875, \
-2.625, -2.5625, -2.5, -2.4375, -2.375, -2.3125, -2.25, -2.1875, -2.125, \
-2.0625, -2, -1.9375, -1.875, -1.8125, -1.75, -1.6875, -1.625, -1.5625, -1.5, \
-1.4375, -1.375, -1.3125, -1.25, -1.1875, -1.125, -1.0625, -1, -0.9375, \
-0.875, -0.8125, -0.75, -0.6875, -0.625, -0.5625, -0.5, -0.4375, -0.375, \
-0.3125, -0.25, -0.1875, -0.125, -0.0625, 0, 0.0625, 0.125, 0.1875, 0.25,
0.3125, 0.375, 0.4375, 0.5, 0.5625, 0.625, 0.6875, 0.75, 0.8125, 0.875,
0.9375, 1, 1.0625, 1.125, 1.1875, 1.25, 1.3125, 1.375, 1.4375, 1.5,
1.5625, 1.625, 1.6875, 1.75, 1.8125, 1.875, 1.9375, 2, 2.0625, 2.125,
2.1875, 2.25, 2.3125, 2.375, 2.4375, 2.5, 2.5625, 2.625, 2.6875, 2.75,
2.8125, 2.875, 2.9375, 3, 3.0625, 3.125, 3.1875, 3.25, 3.3125, 3.375,
3.4375, 3.5, 3.5625, 3.625, 3.6875, 3.75, 3.8125, 3.875, 3.9375, 4,
4.0625, 4.125, 4.1875, 4.25, 4.3125, 4.375, 4.4375, 4.5, 4.5625, 4.625,
4.6875, 4.75, 4.8125, 4.875, 4.9375, 5, 5.0625, 5.125, 5.1875, 5.25,
5.3125, 5.375, 5.4375, 5.5, 5.5625, 5.625, 5.6875, 5.75, 5.8125, 5.875,
5.9375, 6, 6.0625, 6.125, 6.1875, 6.25, 6.3125, 6.375, 6.4375, 6.5,
6.5625, 6.625, 6.6875, 6.75, 6.8125, 6.875, 6.9375, 7, 7.0625, 7.125,
7.1875, 7.25, 7.3125, 7.375, 7.4375, 7.5, 7.5625, 7.625, 7.6875, 7.75,
7.8125, 7.875, 7.9375, 8, 8.0625, 8.125, 8.1875, 8.25, 8.3125, 8.375,
8.4375, 8.5, 8.5625, 8.625, 8.6875, 8.75, 8.8125, 8.875, 8.9375, 9,
9.0625, 9.125, 9.1875, 9.25, 9.3125, 9.375, 9.4375, 9.5, 9.5625, 9.625,
9.6875, 9.75, 9.8125, 9.875, 9.9375, 10, 10.0625, 10.125, 10.1875,
10.25, 10.3125, 10.375, 10.4375, 10.5, 10.5625, 10.625, 10.6875, 10.75,
10.8125, 10.875, 10.9375, 11, 11.0625, 11.125, 11.1875, 11.25, 11.3125,
11.375, 11.4375, 11.5, 11.5625, 11.625, 11.6875, 11.75, 11.8125, 11.875,
11.9375, 12, 12.0625, 12.125, 12.1875, 12.25, 12.3125, 12.375, 12.4375,
12.5, 12.5625, 12.625, 12.6875, 12.75, 12.8125, 12.875, 12.9375, 13,
13.0625, 13.125, 13.1875, 13.25, 13.3125, 13.375, 13.4375, 13.5,
13.5625, 13.625, 13.6875, 13.75, 13.8125, 13.875, 13.9375, 14, 14.0625,
14.125, 14.1875, 14.25, 14.3125, 14.375, 14.4375, 14.5, 14.5625, 14.625,
14.6875, 14.75, 14.8125, 14.875, 14.9375, 15, 15.0625, 15.125, 15.1875,
15.25, 15.3125, 15.375, 15.4375, 15.5, 15.5625, 15.625, 15.6875, 15.75,
15.8125, 15.875, 15.9375,
16}, {-16, -15.9375, -15.875, -15.8125, -15.75, -15.6875, -15.625, \
-15.5625, -15.5, -15.4375, -15.375, -15.3125, -15.25, -15.1875, -15.125, \
-15.0625, -15, -14.9375, -14.875, -14.8125, -14.75, -14.6875, -14.625, \
-14.5625, -14.5, -14.4375, -14.375, -14.3125, -14.25, -14.1875, -14.125, \
-14.0625, -14, -13.9375, -13.875, -13.8125, -13.75, -13.6875, -13.625, \
-13.5625, -13.5, -13.4375, -13.375, -13.3125, -13.25, -13.1875, -13.125, \
-13.0625, -13, -12.9375, -12.875, -12.8125, -12.75, -12.6875, -12.625, \
-12.5625, -12.5, -12.4375, -12.375, -12.3125, -12.25, -12.1875, -12.125, \
-12.0625, -12, -11.9375, -11.875, -11.8125, -11.75, -11.6875, -11.625, \
-11.5625, -11.5, -11.4375, -11.375, -11.3125, -11.25, -11.1875, -11.125, \
-11.0625, -11, -10.9375, -10.875, -10.8125, -10.75, -10.6875, -10.625, \
-10.5625, -10.5, -10.4375, -10.375, -10.3125, -10.25, -10.1875, -10.125, \
-10.0625, -10, -9.9375, -9.875, -9.8125, -9.75, -9.6875, -9.625, -9.5625, \
-9.5, -9.4375, -9.375, -9.3125, -9.25, -9.1875, -9.125, -9.0625, -9, -8.9375, \
-8.875, -8.8125, -8.75, -8.6875, -8.625, -8.5625, -8.5, -8.4375, -8.375, \
-8.3125, -8.25, -8.1875, -8.125, -8.0625, -8, -7.9375, -7.875, -7.8125, \
-7.75, -7.6875, -7.625, -7.5625, -7.5, -7.4375, -7.375, -7.3125, -7.25, \
-7.1875, -7.125, -7.0625, -7, -6.9375, -6.875, -6.8125, -6.75, -6.6875, \
-6.625, -6.5625, -6.5, -6.4375, -6.375, -6.3125, -6.25, -6.1875, -6.125, \
-6.0625, -6, -5.9375, -5.875, -5.8125, -5.75, -5.6875, -5.625, -5.5625, -5.5, \
-5.4375, -5.375, -5.3125, -5.25, -5.1875, -5.125, -5.0625, -5, -4.9375, \
-4.875, -4.8125, -4.75, -4.6875, -4.625, -4.5625, -4.5, -4.4375, -4.375, \
-4.3125, -4.25, -4.1875, -4.125, -4.0625, -4, -3.9375, -3.875, -3.8125, \
-3.75, -3.6875, -3.625, -3.5625, -3.5, -3.4375, -3.375, -3.3125, -3.25, \
-3.1875, -3.125, -3.0625, -3, -2.9375, -2.875, -2.8125, -2.75, -2.6875, \
-2.625, -2.5625, -2.5, -2.4375, -2.375, -2.3125, -2.25, -2.1875, -2.125, \
-2.0625, -2, -1.9375, -1.875, -1.8125, -1.75, -1.6875, -1.625, -1.5625, -1.5, \
-1.4375, -1.375, -1.3125, -1.25, -1.1875, -1.125, -1.0625, -1, -0.9375, \
-0.875, -0.8125, -0.75, -0.6875, -0.625, -0.5625, -0.5, -0.4375, -0.375, \
-0.3125, -0.25, -0.1875, -0.125, -0.0625, 0, 0.0625, 0.125, 0.1875, 0.25,
0.3125, 0.375, 0.4375, 0.5, 0.5625, 0.625, 0.6875, 0.75, 0.8125, 0.875,
0.9375, 1, 1.0625, 1.125, 1.1875, 1.25, 1.3125, 1.375, 1.4375, 1.5,
1.5625, 1.625, 1.6875, 1.75, 1.8125, 1.875, 1.9375, 2, 2.0625, 2.125,
2.1875, 2.25, 2.3125, 2.375, 2.4375, 2.5, 2.5625, 2.625, 2.6875, 2.75,
2.8125, 2.875, 2.9375, 3, 3.0625, 3.125, 3.1875, 3.25, 3.3125, 3.375,
3.4375, 3.5, 3.5625, 3.625, 3.6875, 3.75, 3.8125, 3.875, 3.9375, 4,
4.0625, 4.125, 4.1875, 4.25, 4.3125, 4.375, 4.4375, 4.5, 4.5625, 4.625,
4.6875, 4.75, 4.8125, 4.875, 4.9375, 5, 5.0625, 5.125, 5.1875, 5.25,
5.3125, 5.375, 5.4375, 5.5, 5.5625, 5.625, 5.6875, 5.75, 5.8125, 5.875,
5.9375, 6, 6.0625, 6.125, 6.1875, 6.25, 6.3125, 6.375, 6.4375, 6.5,
6.5625, 6.625, 6.6875, 6.75, 6.8125, 6.875, 6.9375, 7, 7.0625, 7.125,
7.1875, 7.25, 7.3125, 7.375, 7.4375, 7.5, 7.5625, 7.625, 7.6875, 7.75,
7.8125, 7.875, 7.9375, 8, 8.0625, 8.125, 8.1875, 8.25, 8.3125, 8.375,
8.4375, 8.5, 8.5625, 8.625, 8.6875, 8.75, 8.8125, 8.875, 8.9375, 9,
9.0625, 9.125, 9.1875, 9.25, 9.3125, 9.375, 9.4375, 9.5, 9.5625, 9.625,
9.6875, 9.75, 9.8125, 9.875, 9.9375, 10, 10.0625, 10.125, 10.1875,
10.25, 10.3125, 10.375, 10.4375, 10.5, 10.5625, 10.625, 10.6875, 10.75,
10.8125, 10.875, 10.9375, 11, 11.0625, 11.125, 11.1875, 11.25, 11.3125,
11.375, 11.4375, 11.5, 11.5625, 11.625, 11.6875, 11.75, 11.8125, 11.875,
11.9375, 12, 12.0625, 12.125, 12.1875, 12.25, 12.3125, 12.375, 12.4375,
12.5, 12.5625, 12.625, 12.6875, 12.75, 12.8125, 12.875, 12.9375, 13,
13.0625, 13.125, 13.1875, 13.25, 13.3125, 13.375, 13.4375, 13.5,
13.5625, 13.625, 13.6875, 13.75, 13.8125, 13.875, 13.9375, 14, 14.0625,
14.125, 14.1875, 14.25, 14.3125, 14.375, 14.4375, 14.5, 14.5625, 14.625,
14.6875, 14.75, 14.8125, 14.875, 14.9375, 15, 15.0625, 15.125, 15.1875,
15.25, 15.3125, 15.375, 15.4375, 15.5, 15.5625, 15.625, 15.6875, 15.75,
15.8125, 15.875, 15.9375, 16}}],
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
ImageSize->512,
Method->{
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" ->
None},
PlotRange->All,
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.05],
Scaled[0.05]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellLabel->
"5/11/24 18:22:50 \
Out[764]=",ExpressionUUID->"6b47a8a9-b3e6-4934-aced-270bc27d1885"]
}, Open ]]
},
WindowSize->{1672, 976},
WindowMargins->{{0, Automatic}, {Automatic, 0}},
FrontEndVersion->"12.2 for Microsoft Windows (64-bit) (December 12, 2020)",
StyleDefinitions->Notebook[{
Cell[
StyleData[StyleDefinitions -> "Default.nb"]],
Cell[
StyleData[All], TextAlignment -> Center, FontFamily ->
"Go Noto Current-Regular", FontSize -> 10, FontWeight -> "Normal",
FontSlant -> "Plain", FontTracking -> "Plain",
FontVariations -> {"StrikeThrough" -> False, "Underline" -> False}]},
Visible -> False, FrontEndVersion ->
"12.2 for Microsoft Windows (64-bit) (December 12, 2020)", StyleDefinitions ->
"PrivateStylesheetFormatting.nb"],
ExpressionUUID->"5dae3b27-56bc-46a1-95c6-cbcffd224276"
]
(* End of Notebook Content *)
(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 6721, 178, 499, "Input",ExpressionUUID->"670c0d5c-4772-49bb-b74f-ae6a69be9ed0"],
Cell[7282, 200, 6978, 185, 423, "Input",ExpressionUUID->"a4addeb7-2708-41df-8367-f56fd1c4c60d"],
Cell[CellGroupData[{
Cell[14285, 389, 3518, 101, 250, "Input",ExpressionUUID->"371fe448-dfa1-4473-ae07-76c2482d0aa3"],
Cell[17806, 492, 120873, 2534, 791, "Output",ExpressionUUID->"6b47a8a9-b3e6-4934-aced-270bc27d1885"]
}, Open ]]
}
]
*)