(************** Content-type: application/mathematica **************

                    Mathematica-Compatible Notebook

This notebook can be used with any Mathematica-compatible
application, such as Mathematica, MathReader or Publicon. The data
for the notebook starts with the line containing stars above.

To get the notebook into a Mathematica-compatible application, do
one of the following:

* Save the data starting with the line of stars above into a file
  with a name ending in .nb, then open the file inside the
  application;

* Copy the data starting with the line of stars above to the
  clipboard, then use the Paste menu command inside the application.

Data for notebooks contains only printable 7-bit ASCII and can be
sent directly in email or through ftp in text mode.  Newlines can be
CR, LF or CRLF (Unix, Macintosh or MS-DOS style).

NOTE: If you modify the data for this notebook not in a Mathematica-
compatible application, you must delete the line below containing
the word CacheID, otherwise Mathematica-compatible applications may
try to use invalid cache data.

For more information on notebooks and Mathematica-compatible 
applications, contact Wolfram Research:
  web: http://www.wolfram.com
  email: info@wolfram.com
  phone: +1-217-398-0700 (U.S.)

Notebook reader applications are available free of charge from 
Wolfram Research.
*******************************************************************)

(*CacheID: 232*)


(*NotebookFileLineBreakTest
NotebookFileLineBreakTest*)
(*NotebookOptionsPosition[    453961,       9392]*)
(*NotebookOutlinePosition[    454599,       9414]*)
(*  CellTagsIndexPosition[    454555,       9410]*)
(*WindowFrame->Normal*)



Notebook[{

Cell[CellGroupData[{
Cell[TextData[StyleBox["MC 101",
  FontColor->RGBColor[0, 0, 1]]], "Title",
  TextAlignment->Center],

Cell["\<\
This is a set of solved exercises (borrowed from M. Seymour)  for \
practising the basic notions of MonteCarlos.\
\>", "Text",
  FontSize->18],

Cell[CellGroupData[{

Cell[TextData[StyleBox["Write the simplest integration function based on the \
definition of average and error",
  FontSize->16]], "Section"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(<< Graphics`Colors`;\)\), "\[IndentingNewLine]", 
    \(\(ob1 = 
        Plot[{Cos[Pi/2\ x], 1}, {x, 0, 1}, \ 
          PlotStyle \[Rule] {Blue, Red}];\)\), "\[IndentingNewLine]", 
    \(\)}], "Input"],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.952381 0.0147151 0.588604 [
[.21429 .00222 -9 -9 ]
[.21429 .00222 9 0 ]
[.40476 .00222 -9 -9 ]
[.40476 .00222 9 0 ]
[.59524 .00222 -9 -9 ]
[.59524 .00222 9 0 ]
[.78571 .00222 -9 -9 ]
[.78571 .00222 9 0 ]
[.97619 .00222 -3 -9 ]
[.97619 .00222 3 0 ]
[.01131 .13244 -18 -4.5 ]
[.01131 .13244 0 4.5 ]
[.01131 .25016 -18 -4.5 ]
[.01131 .25016 0 4.5 ]
[.01131 .36788 -18 -4.5 ]
[.01131 .36788 0 4.5 ]
[.01131 .4856 -18 -4.5 ]
[.01131 .4856 0 4.5 ]
[.01131 .60332 -6 -4.5 ]
[.01131 .60332 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.21429 .01472 m
.21429 .02097 L
s
[(0.2)] .21429 .00222 0 1 Mshowa
.40476 .01472 m
.40476 .02097 L
s
[(0.4)] .40476 .00222 0 1 Mshowa
.59524 .01472 m
.59524 .02097 L
s
[(0.6)] .59524 .00222 0 1 Mshowa
.78571 .01472 m
.78571 .02097 L
s
[(0.8)] .78571 .00222 0 1 Mshowa
.97619 .01472 m
.97619 .02097 L
s
[(1)] .97619 .00222 0 1 Mshowa
.125 Mabswid
.07143 .01472 m
.07143 .01847 L
s
.11905 .01472 m
.11905 .01847 L
s
.16667 .01472 m
.16667 .01847 L
s
.2619 .01472 m
.2619 .01847 L
s
.30952 .01472 m
.30952 .01847 L
s
.35714 .01472 m
.35714 .01847 L
s
.45238 .01472 m
.45238 .01847 L
s
.5 .01472 m
.5 .01847 L
s
.54762 .01472 m
.54762 .01847 L
s
.64286 .01472 m
.64286 .01847 L
s
.69048 .01472 m
.69048 .01847 L
s
.7381 .01472 m
.7381 .01847 L
s
.83333 .01472 m
.83333 .01847 L
s
.88095 .01472 m
.88095 .01847 L
s
.92857 .01472 m
.92857 .01847 L
s
.25 Mabswid
0 .01472 m
1 .01472 L
s
.02381 .13244 m
.03006 .13244 L
s
[(0.2)] .01131 .13244 1 0 Mshowa
.02381 .25016 m
.03006 .25016 L
s
[(0.4)] .01131 .25016 1 0 Mshowa
.02381 .36788 m
.03006 .36788 L
s
[(0.6)] .01131 .36788 1 0 Mshowa
.02381 .4856 m
.03006 .4856 L
s
[(0.8)] .01131 .4856 1 0 Mshowa
.02381 .60332 m
.03006 .60332 L
s
[(1)] .01131 .60332 1 0 Mshowa
.125 Mabswid
.02381 .04415 m
.02756 .04415 L
s
.02381 .07358 m
.02756 .07358 L
s
.02381 .10301 m
.02756 .10301 L
s
.02381 .16187 m
.02756 .16187 L
s
.02381 .1913 m
.02756 .1913 L
s
.02381 .22073 m
.02756 .22073 L
s
.02381 .27959 m
.02756 .27959 L
s
.02381 .30902 m
.02756 .30902 L
s
.02381 .33845 m
.02756 .33845 L
s
.02381 .39731 m
.02756 .39731 L
s
.02381 .42674 m
.02756 .42674 L
s
.02381 .45617 m
.02756 .45617 L
s
.02381 .51503 m
.02756 .51503 L
s
.02381 .54446 m
.02756 .54446 L
s
.02381 .57389 m
.02756 .57389 L
s
.25 Mabswid
.02381 0 m
.02381 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
0 0 1 r
.5 Mabswid
.02381 .60332 m
.02499 .60332 L
.02605 .60331 L
.02729 .60331 L
.02846 .6033 L
.03053 .60328 L
.03279 .60325 L
.03527 .60321 L
.0379 .60316 L
.04262 .60304 L
.04749 .60287 L
.05205 .60268 L
.06244 .60212 L
.07305 .60138 L
.08274 .60054 L
.10458 .5981 L
.12357 .59537 L
.14429 .59174 L
.18493 .58266 L
.22406 .5715 L
.26565 .55711 L
.30571 .54083 L
.34426 .523 L
.38527 .50178 L
.42475 .47924 L
.46273 .45571 L
.50315 .42875 L
.54206 .40107 L
.58342 .3699 L
.62326 .33831 L
.66159 .30661 L
.70238 .27159 L
.74164 .23678 L
.77939 .20243 L
.8196 .16505 L
.85828 .12846 L
.89942 .08904 L
.93905 .05075 L
.97619 .01472 L
s
1 0 0 r
.02381 .60332 m
.06244 .60332 L
.10458 .60332 L
.14415 .60332 L
.18221 .60332 L
.22272 .60332 L
.26171 .60332 L
.30316 .60332 L
.34309 .60332 L
.3815 .60332 L
.42237 .60332 L
.46172 .60332 L
.49955 .60332 L
.53984 .60332 L
.57861 .60332 L
.61984 .60332 L
.65954 .60332 L
.69774 .60332 L
.73838 .60332 L
.77751 .60332 L
.81909 .60332 L
.85916 .60332 L
.89771 .60332 L
.93871 .60332 L
.97619 .60332 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{288, 177.938},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40004P0000/B000`400?l00000o`00003ooooooolQ
ooooo`00@_ooool2o`0000Cooooo00Co0000oooooooooooooooo1Ol0000Uooooo`;o00001?ooool0
0ol0003oooooooooo`03ooooo`?o00009?ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3
o`0002Kooooo0_l00004ooooo`03o`000?oooooooooo00;ooooo0ol0000[ooooo`?o00001oooool0
047ooooo00Co0000oooooooooooo00002?ooool01?l0003oooooooooool0000Tooooo`04o`000?oo
ooooooooo`0000[ooooo00?o0000ooooooooool08_ooool01?l0003oooooooooool00007ooooo`05
o`000?ooooooooooooooool000009?ooool01?l0003oooooooooool00007ooooo`05o`000?oooooo
ooooooooool00000:oooool00ol0003oooooooooo`06ooooo`00@Oooool01?l0003oooooooooool0
0009ooooo`03o`000?oooooooooo02Cooooo00Co0000oooooooooooo00001oooool5o`0002?ooooo
00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000002Cooooo00Co0000oooo
oooooooo00001oooool01Ol0003ooooooooooooooooo000002_ooooo00?o0000ooooooooool01_oo
ool0047ooooo00Co0000oooooooooooo00002_ooool00ol0003oooooooooo`0Sooooo`04o`000?oo
ooooooooo`0000Oooooo00Co0000oooooooooooo00009?ooool01?l0003oooooooooool00007oooo
o`Co00009Oooool01?l0003oooooooooool00008ooooo`?o0000;?ooool00ol0003oooooooooo`06
ooooo`00@Oooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool000009?oo
ool01?l0003oooooooooool00008ooooo`03o`000?oooooo000002Cooooo00Co0000oooooooooooo
00001oooool00ol0003oooooooooo`0Vooooo`04o`000?ooooooooooo`0000Oooooo00Go0000oooo
ooooooooooooo`00000[ooooo`03o`000?oooooooooo00Kooooo0011ooooo`04o`000?oooooooooo
o`0000Oooooo00Go0000ooooooooooooooooo`00000Tooooo`04o`000?ooooooooooo`0000Wooooo
0_l0000Tooooo`04o`000?ooooooooooo`0000Sooooo00?o0000ooooooooool09Oooool01?l0003o
ooooooooool00007ooooo`05o`000?ooooooooooooooool00000:_ooool2o`0000Sooooo0012oooo
o`;o00002Oooool3o`0002Kooooo0_l0000;ooooo`03o`000?oooooooooo02?ooooo0_l0000:oooo
o`;o00009_ooool2o`0000Wooooo0ol0000/ooooo`03o`000?oooooooooo00Kooooo000Eooooo`03
o`000?oooooooooo0?oooooo2Oooool001Gooooo00?o0000ooooooooool0ooooool9ooooo`005Ooo
ool00ol0003oooooooooo`3oooooo`Wooooo000Eooooo`03o`000?oooooooooo0?oooooo2Oooool0
00ooooooool0000:o`000003o`00ool0003o000000Co00000Oooool001Gooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02Oooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`09ooooo`03o`00ool0003ooooo00Kooooo000Eooooo`03o`00
0?oooooooooo037ooooo00?o0000ooooooooool0<Oooool00ol0003oooooooooo`0`ooooo`03o`00
0?oooooooooo037ooooo00?o0000ooooooooool0;oooool00ol00?ooooooo`000007ooooo`005Ooo
ool00ol0003oooooooooo`3mooooo`03o`00oooooooooooo00Sooooo000Eooooo`03o`000?oooooo
oooo0?cooooo00?o003oooooooooool02Oooool001Gooooo00?o0000ooooooooool0noooool00ol0
0?ooooooooooo`0:ooooo`005Oooool00ol0003oooooooooo`3jooooo`03o`00oooooooooooo00_o
oooo000Eooooo`03o`000?oooooooooo0?Wooooo00?o003oooooooooool03?ooool001Gooooo0_l0
003iooooo`03o`00oooooooooooo00gooooo000Eooooo`03o`000?oooooooooo0?Oooooo00?o003o
ooooooooool03_ooool001Gooooo00?o0000ooooooooool0mOooool2o`00oa7ooooo000Eooooo`03
o`000?oooooooooo0?Cooooo00?o003oooooooooool04Oooool001Gooooo00?o0000ooooooooool0
loooool00ol00?ooooooooooo`0Booooo`005Oooool00ol0003oooooooooo`3booooo`03o`00oooo
oooooooo01?ooooo000Eooooo`03o`000?oooooooooo0?7ooooo00?o003oooooooooool05?ooool0
01Gooooo00?o0000ooooooooool0l?ooool00ol00?ooooooooooo`0Eooooo`005Oooool2o`000?3o
oooo00?o003oooooooooool05_ooool001Gooooo00?o0000ooooooooool0k_ooool00ol00?oooooo
ooooo`0Gooooo`005Oooool00ol0003oooooooooo`3]ooooo`03o`00oooooooooooo01Sooooo000E
ooooo`03o`000?oooooooooo0>cooooo00?o003oooooooooool06Oooool001Gooooo00?o0000oooo
ooooool0joooool00ol00?ooooooooooo`0Jooooo`005Oooool00ol0003oooooooooo`3Zooooo`03
o`00oooooooooooo01_ooooo000Eooooo`03o`000?oooooooooo0>Wooooo00?o003oooooooooool0
7?ooool001Gooooo00?o0000ooooooooool0j?ooool00ol00?ooooooooooo`0Mooooo`005Oooool2
o`000>Sooooo00?o003oooooooooool07_ooool001Gooooo00?o0000ooooooooool0i_ooool00ol0
0?ooooooooooo`0Oooooo`005Oooool00ol0003oooooooooo`3Uooooo`03o`00oooooooooooo023o
oooo000Eooooo`03o`000?oooooooooo0>Cooooo00?o003oooooooooool08Oooool001Gooooo00?o
0000ooooooooool0hoooool00ol00?ooooooooooo`0Rooooo`000_ooool2o`0000Cooooo00Co0000
oooooooooooooooo1Ol00004ooooo`03o`000?oooooooooo0>;ooooo00?o003oooooooooool08ooo
ool00005ooooool0003oooooooooool000002?ooool01?l0003oooooooooool00004ooooo`03o`00
0?oooooooooo0>7ooooo00?o003oooooooooool09?ooool00005ooooool0003oooooooooool00000
2Oooool00ol0003oooooooooo`04ooooo`03o`000?oooooooooo0=oooooo0_l00?lWooooo`0000Go
ooooo`000?ooooooooooo`00000:ooooo`03o`000?oooooooooo00?ooooo0ol0003Nooooo`03o`00
oooooooooooo02Oooooo00001Ooooooo0000oooooooooooo000000Oooooo00Go0000oooooooooooo
ooooo`000004ooooo`03o`000?oooooooooo0=gooooo00?o003oooooooooool0:?ooool00005oooo
ool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo000000Cooooo00?o0000oooo
ooooool0g?ooool00ol00?ooooooooooo`0Yooooo`000_ooool2o`0000Wooooo0ol00005ooooo`03
o`000?oooooooooo0=_ooooo00?o003oooooooooool0:_ooool001Gooooo00?o0000ooooooooool0
f_ooool00ol00?ooooooooooo`0[ooooo`005Oooool00ol0003oooooooooo`3Iooooo`03o`00oooo
oooooooo02cooooo000Eooooo`03o`000?oooooooooo0=Sooooo00?o003oooooooooool0;Oooool0
01Gooooo00?o0000ooooooooool0eoooool00ol00?ooooooooooo`0^ooooo`005Oooool2o`000=Oo
oooo00?o003oooooooooool0;oooool001Gooooo00?o0000ooooooooool0e?ooool2o`00oc;ooooo
000Eooooo`03o`000?oooooooooo0=?ooooo00?o003oooooooooool0<_ooool001Gooooo00?o0000
ooooooooool0d_ooool00ol00?ooooooooooo`0cooooo`005Oooool00ol0003oooooooooo`3Aoooo
o`03o`00oooooooooooo03Cooooo000Eooooo`03o`000?oooooooooo0=3ooooo00?o003ooooooooo
ool0=Oooool001Gooooo00?o0000ooooooooool0coooool00ol00?ooooooooooo`0fooooo`005Ooo
ool00ol0003oooooooooo`3>ooooo`03o`00oooooooooooo03Oooooo000Eooooo`;o0000c_ooool0
0ol00?ooooooooooo`0hooooo`005Oooool00ol0003oooooooooo`3<ooooo`03o`00oooooooooooo
03Wooooo000Eooooo`03o`000?oooooooooo0<_ooooo00?o003oooooooooool0>_ooool001Gooooo
00?o0000ooooooooool0bOooool2o`00ocgooooo000Eooooo`03o`000?oooooooooo0<Sooooo00?o
003oooooooooool0?Oooool001Gooooo00?o0000ooooooooool0aoooool00ol00?ooooooooooo`0n
ooooo`005Oooool00ol0003oooooooooo`36ooooo`03o`00oooooooooooo03oooooo000Eooooo`03
o`000?oooooooooo0<Gooooo00?o003oooooooooool0@?ooool001Gooooo0_l00035ooooo`03o`00
oooooooooooo047ooooo000Eooooo`03o`000?oooooooooo0<?ooooo00?o003oooooooooool0@_oo
ool001Gooooo00?o0000ooooooooool0`_ooool00ol00?ooooooooooo`13ooooo`005Oooool00ol0
003oooooooooo`31ooooo`03o`00oooooooooooo04Cooooo000Eooooo`03o`000?oooooooooo0;oo
oooo0_l00?m7ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00oooool3o`0000Cooooo
00?o0000ooooooooool0__ooool00ol00?ooooooooooo`17ooooo`0000Goooooo`000?oooooooooo
o`00000:ooooo`03o`000?oooooooooo00?ooooo00?o0000ooooooooool0_Oooool00ol00?oooooo
ooooo`18ooooo`0000Goooooo`000?ooooooooooo`000007ooooo`Go00001?ooool00ol0003ooooo
ooooo`2looooo`03o`00oooooooooooo04Wooooo00001Ooooooo0000oooooooooooo000000Oooooo
00Co0000oooooooooooo00001Oooool3o`000;_ooooo00?o003oooooooooool0B_ooool00005oooo
ool0003oooooooooool000002?ooool00ol0003oooooo`000005ooooo`03o`000?oooooooooo0;[o
oooo00?o003oooooooooool0Boooool00005ooooool0003oooooooooool000002Oooool2o`0000Go
oooo00?o0000ooooooooool0^Oooool00ol00?ooooooooooo`1<ooooo`000_ooool2o`0000_ooooo
00?o0000ooooooooool00oooool00ol0003oooooooooo`2hooooo`03o`00oooooooooooo04gooooo
000Eooooo`03o`000?oooooooooo0;Oooooo00?o003oooooooooool0C_ooool001Gooooo00?o0000
ooooooooool0]_ooool00ol00?ooooooooooo`1?ooooo`005Oooool00ol0003oooooooooo`2doooo
o`;o003oD_ooool001Gooooo00?o0000ooooooooool0/oooool00ol00?ooooooooooo`1Booooo`00
5Oooool2o`000;?ooooo00?o003oooooooooool0Doooool001Gooooo00?o0000ooooooooool0/Ooo
ool00ol00?ooooooooooo`1Dooooo`005Oooool00ol0003oooooooooo`2_ooooo`;o003oEoooool0
01Gooooo00?o0000ooooooooool0[_ooool00ol00?ooooooooooo`1Gooooo`005Oooool00ol0003o
ooooooooo`2]ooooo`03o`00oooooooooooo05Sooooo000Eooooo`03o`000?oooooooooo0:cooooo
00?o003oooooooooool0FOooool001Gooooo00?o0000ooooooooool0Zoooool00ol00?oooooooooo
o`1Jooooo`005Oooool00ol0003oooooooooo`2Yooooo`;o003oGOooool001Gooooo0_l0002Yoooo
o`03o`00oooooooooooo05gooooo000Eooooo`03o`000?oooooooooo0:Oooooo00?o003ooooooooo
ool0G_ooool001Gooooo00?o0000ooooooooool0Y_ooool00ol00?ooooooooooo`1Oooooo`005Ooo
ool00ol0003oooooooooo`2Uooooo`03o`00oooooooooooo063ooooo000Eooooo`03o`000?oooooo
oooo0:Cooooo00?o003oooooooooool0HOooool001Gooooo00?o0000ooooooooool0Xoooool00ol0
0?ooooooooooo`1Rooooo`005Oooool00ol0003oooooooooo`2Rooooo`03o`00oooooooooooo06?o
oooo000Eooooo`03o`000?oooooooooo0:7ooooo00?o003oooooooooool0I?ooool001Gooooo0_l0
002Pooooo`;o003oIoooool001Gooooo00?o0000ooooooooool0W_ooool00ol00?ooooooooooo`1W
ooooo`005Oooool00ol0003oooooooooo`2Mooooo`03o`00oooooooooooo06Sooooo000Eooooo`03
o`000?oooooooooo09cooooo00?o003oooooooooool0JOooool001Gooooo00?o0000ooooooooool0
V_ooool2o`00ofcooooo0002ooooo`;o00001?ooool00ol0003oooooooooo`02ooooo`?o00001Ooo
ool00ol0003oooooooooo`2Iooooo`03o`00oooooooooooo06cooooo00001Ooooooo0000oooooooo
oooo000000Oooooo00Go0000ooooooooooooooooo`000004ooooo`03o`000?oooooooooo09Sooooo
00?o003oooooooooool0KOooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooo
oooooooooooo000000Cooooo00?o0000ooooooooool0Uoooool00ol00?ooooooooooo`1^ooooo`00
00Goooooo`000?ooooooooooo`000007ooooo`Co00001Oooool3o`0009Kooooo00?o003ooooooooo
ool0Koooool00005ooooool0003oooooooooool000001oooool00ol0003oooooooooo`06ooooo`03
o`000?oooooooooo09Cooooo0_l00?mbooooo`0000Goooooo`000?ooooooooooo`000008ooooo`03
o`000?oooooooooo00Gooooo00?o0000ooooooooool0Toooool00ol00?ooooooooooo`1booooo`00
0_ooool2o`0000[ooooo0_l00005ooooo`03o`000?oooooooooo09;ooooo00?o003oooooooooool0
Loooool001Gooooo00?o0000ooooooooool0T?ooool2o`00ogKooooo000Eooooo`03o`000?oooooo
oooo08oooooo00?o003oooooooooool0M_ooool001Gooooo00?o0000ooooooooool0SOooool2o`00
ogWooooo000Eooooo`03o`000?oooooooooo08cooooo00?o003oooooooooool0NOooool001Gooooo
0_l0002<ooooo`03o`00oooooooooooo07[ooooo000Eooooo`03o`000?oooooooooo08Wooooo0_l0
0?mmooooo`005Oooool00ol0003oooooooooo`28ooooo`03o`00oooooooooooo07gooooo000Eoooo
o`03o`000?oooooooooo08Oooooo00?o003oooooooooool0O_ooool001Gooooo00?o0000oooooooo
ool0QOooool2o`00oh7ooooo000Eooooo`03o`000?oooooooooo08Cooooo00?o003oooooooooool0
POooool001Gooooo00?o0000ooooooooool0P_ooool2o`00ohCooooo000Eooooo`03o`000?oooooo
oooo087ooooo00?o003oooooooooool0Q?ooool001Gooooo0_l00021ooooo`03o`00oooooooooooo
08Gooooo000Eooooo`03o`000?oooooooooo07kooooo0_l00?n8ooooo`005Oooool00ol0003ooooo
ooooo`1mooooo`03o`00oooooooooooo08Sooooo000Eooooo`03o`000?oooooooooo07_ooooo0_l0
0?n;ooooo`005Oooool00ol0003oooooooooo`1iooooo`;o003oSOooool001Gooooo00?o0000oooo
ooooool0N?ooool00ol00?ooooooooooo`2=ooooo`005Oooool00ol0003oooooooooo`1fooooo`;o
003oT?ooool001Gooooo00?o0000ooooooooool0MOooool00ol00?ooooooooooo`2@ooooo`005Ooo
ool2o`0007Cooooo0_l00?nCooooo`005Oooool00ol0003oooooooooo`1aooooo`;o003oUOooool0
01Gooooo00?o0000ooooooooool0L?ooool00ol00?ooooooooooo`2Eooooo`005Oooool00ol0003o
ooooooooo`1^ooooo`;o003oV?ooool001Gooooo00?o0000ooooooooool0K?ooool2o`00oi[ooooo
0002ooooo`;o00001?ooool00ol0003oooooooooo`02ooooo`?o00001Oooool00ol0003ooooooooo
o`1[ooooo`03o`00oooooooooooo09[ooooo00001Ooooooo0000oooooooooooo000000Oooooo00Go
0000ooooooooooooooooo`000004ooooo`03o`000?oooooooooo06Wooooo0_l00?nMooooo`0000Go
ooooo`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool000001?ooool00ol0003o
ooooooooo`1Wooooo`;o003oWoooool00005ooooool0003oooooooooool000002?ooool3o`0000Go
oooo0ol0001Uooooo`;o003oXOooool00005ooooool0003oooooooooool000001oooool01Ol0003o
oooooooooooooooo000000Cooooo00?o0000ooooooooool0I?ooool00ol00?ooooooooooo`2Qoooo
o`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool000001?ooool0
0ol0003oooooooooo`1Rooooo`;o003oY?ooool000;ooooo0_l00009ooooo`?o00001Oooool00ol0
003oooooooooo`1Pooooo`;o003oY_ooool001Gooooo00?o0000ooooooooool0G_ooool2o`00ojSo
oooo000Eooooo`03o`000?oooooooooo05cooooo0_l00?nZooooo`005Oooool00ol0003ooooooooo
o`1Jooooo`;o003o[?ooool001Gooooo00?o0000ooooooooool0FOooool00ol00?ooooooooooo`2/
ooooo`005Oooool2o`0005Sooooo0_l00?n_ooooo`005Oooool00ol0003oooooooooo`1Eooooo`;o
003o/Oooool001Gooooo00?o0000ooooooooool0Doooool2o`00ok?ooooo000Eooooo`03o`000?oo
oooooooo057ooooo0_l00?neooooo`005Oooool00ol0003oooooooooo`1?ooooo`;o003o]oooool0
01Gooooo00?o0000ooooooooool0COooool2o`00okWooooo000Eooooo`03o`000?oooooooooo04_o
oooo0_l00?nkooooo`005Oooool00ol0003oooooooooo`19ooooo`;o003o_Oooool001Gooooo0_l0
0017ooooo`?o003o_oooool001Gooooo00?o0000ooooooooool0@oooool3o`00ol;ooooo000Eoooo
o`03o`000?oooooooooo043ooooo0ol00?o5ooooo`005Oooool00ol0003oooooooooo`0nooooo`;o
003ob?ooool001Gooooo00?o0000ooooooooool0>oooool3o`00ol[ooooo000Eooooo`03o`000?oo
oooooooo03Sooooo0ol00?o=ooooo`005Oooool00ol0003oooooooooo`0eooooo`?o003od?ooool0
01Gooooo00?o0000ooooooooool0<Oooool4o`00om?ooooo000Eooooo`;o0000;oooool3o`00omOo
oooo000Eooooo`03o`000?oooooooooo02_ooooo0ol00?oJooooo`005Oooool00ol0003ooooooooo
o`0Wooooo`Co003ogOooool001Gooooo00?o0000ooooooooool08oooool4o`00on7ooooo000Eoooo
o`03o`000?oooooooooo023ooooo0ol00?oUooooo`003Oooool3o`0000Gooooo00?o0000oooooooo
ool06oooool5o`00onSooooo000>ooooo`03o`000?oooooooooo00Cooooo00?o0000ooooooooool0
5_ooool5o`00ongooooo000>ooooo`03o`000?oooooooooo00Cooooo00?o0000ooooooooool02Ooo
ool=o`00oo;ooooo000>ooooo`03o`000?oooooooooo00Cooooooooo0005ool000Oooooo000>oooo
o`03o`000?oooooooooo00Cooooo00?o0000ooooooooool0ooooool9ooooo`003Oooool2o`0000Ko
oooo00?o0000ooooooooool0ooooool9ooooo`003_ooool00ol0003oooooooooo`04ooooo`03o`00
0?oooooooooo0?oooooo2Oooool001Gooooo00?o0000ooooooooool0ooooool9ooooo`00\
\>"],
  ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.0829852, -0.07747, \
0.00386179, 0.00624851}}]
}, Open  ]],

Cell[BoxData[
    \(\(\(\[IndentingNewLine]\)\(\(MyInte0[f_, xlow_, xup_, nev_] := 
        Module[{xi, delta, sum, var}, \[IndentingNewLine]delta = 
            xup - xlow; \[IndentingNewLine]sum = 0; \[IndentingNewLine]var = 
            0; \[IndentingNewLine]Do[
            xi = xlow + delta*Random[]; \[IndentingNewLine]sum = 
              sum + f[xi]; \[IndentingNewLine]var = var\  + f[xi]^2;, {i, 1, 
              nev}]; \[IndentingNewLine]\ 
          sum = sum/nev*delta\ ; \[IndentingNewLine]\ 
          var = var/nev*delta^2; \[IndentingNewLine]sig = 
            Sqrt[var - sum^2]; \[IndentingNewLine]Return[{sum, 
              sig}]];\)\(\[IndentingNewLine]\)
    \)\)\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(f[x_] := Cos[Pi/2\ x];\)\), "\[IndentingNewLine]", 
    \(\(xlow = 0;\)\), "\[IndentingNewLine]", 
    \(\(xup = 1;\)\), "\[IndentingNewLine]", 
    \(\(events = 10000;\)\), "\[IndentingNewLine]", 
    \(\(Print["\<Analytic Result : \>", 
        Integrate[f[x], {x, xlow, xup}] // N];\)\), "\[IndentingNewLine]", 
    \(\({res, sig} = 
        MyInte0[f, xlow, xup, events];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<MC result :\>", res, \ "\< +- \>", sig, "\</Sqrt[\>", 
        events, "\<]\>"];\)\)}], "Input"],

Cell[BoxData[
    FormBox[
      InterpretationBox[\("Analytic Result : \
"\[InvisibleSpace]0.6366197723675814`\),
        SequenceForm[ "Analytic Result : ", 0.63661977236758138],
        Editable->False], TraditionalForm]], "Print"],

Cell[BoxData[
    FormBox[
      InterpretationBox[\("MC result :"\[InvisibleSpace]0.6370933976842841`\
\[InvisibleSpace]" +- \
"\[InvisibleSpace]0.30650274228326685`\[InvisibleSpace]"/Sqrt["\
\[InvisibleSpace]10000\[InvisibleSpace]"]"\),
        SequenceForm[ 
        "MC result :", 0.63709339768428408, " +- ", 0.30650274228326685, 
          "/Sqrt[", 10000, "]"],
        Editable->False], TraditionalForm]], "Print"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[StyleBox["Apply an analytic transformation : importance \
sampling",
  FontSize->16]], "Section"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(<< Graphics`Colors`;\)\), "\[IndentingNewLine]", 
    \(ob1 = 
      Plot[{Cos[Pi/2\ x], 1 - x^2}, {x, 0, 1}, \ 
        PlotStyle \[Rule] {{Thickness[0.007], Blue}, {Thickness[0.007], 
              Red}}, AspectRatio \[Rule] 1]\), "\[IndentingNewLine]", 
    \(\)}], "Input"],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: 1 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.952381 0.0238095 0.952381 [
[.21429 .01131 -9 -9 ]
[.21429 .01131 9 0 ]
[.40476 .01131 -9 -9 ]
[.40476 .01131 9 0 ]
[.59524 .01131 -9 -9 ]
[.59524 .01131 9 0 ]
[.78571 .01131 -9 -9 ]
[.78571 .01131 9 0 ]
[.97619 .01131 -3 -9 ]
[.97619 .01131 3 0 ]
[.01131 .21429 -18 -4.5 ]
[.01131 .21429 0 4.5 ]
[.01131 .40476 -18 -4.5 ]
[.01131 .40476 0 4.5 ]
[.01131 .59524 -18 -4.5 ]
[.01131 .59524 0 4.5 ]
[.01131 .78571 -18 -4.5 ]
[.01131 .78571 0 4.5 ]
[.01131 .97619 -6 -4.5 ]
[.01131 .97619 0 4.5 ]
[ 0 0 0 0 ]
[ 1 1 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.21429 .02381 m
.21429 .03006 L
s
[(0.2)] .21429 .01131 0 1 Mshowa
.40476 .02381 m
.40476 .03006 L
s
[(0.4)] .40476 .01131 0 1 Mshowa
.59524 .02381 m
.59524 .03006 L
s
[(0.6)] .59524 .01131 0 1 Mshowa
.78571 .02381 m
.78571 .03006 L
s
[(0.8)] .78571 .01131 0 1 Mshowa
.97619 .02381 m
.97619 .03006 L
s
[(1)] .97619 .01131 0 1 Mshowa
.125 Mabswid
.07143 .02381 m
.07143 .02756 L
s
.11905 .02381 m
.11905 .02756 L
s
.16667 .02381 m
.16667 .02756 L
s
.2619 .02381 m
.2619 .02756 L
s
.30952 .02381 m
.30952 .02756 L
s
.35714 .02381 m
.35714 .02756 L
s
.45238 .02381 m
.45238 .02756 L
s
.5 .02381 m
.5 .02756 L
s
.54762 .02381 m
.54762 .02756 L
s
.64286 .02381 m
.64286 .02756 L
s
.69048 .02381 m
.69048 .02756 L
s
.7381 .02381 m
.7381 .02756 L
s
.83333 .02381 m
.83333 .02756 L
s
.88095 .02381 m
.88095 .02756 L
s
.92857 .02381 m
.92857 .02756 L
s
.25 Mabswid
0 .02381 m
1 .02381 L
s
.02381 .21429 m
.03006 .21429 L
s
[(0.2)] .01131 .21429 1 0 Mshowa
.02381 .40476 m
.03006 .40476 L
s
[(0.4)] .01131 .40476 1 0 Mshowa
.02381 .59524 m
.03006 .59524 L
s
[(0.6)] .01131 .59524 1 0 Mshowa
.02381 .78571 m
.03006 .78571 L
s
[(0.8)] .01131 .78571 1 0 Mshowa
.02381 .97619 m
.03006 .97619 L
s
[(1)] .01131 .97619 1 0 Mshowa
.125 Mabswid
.02381 .07143 m
.02756 .07143 L
s
.02381 .11905 m
.02756 .11905 L
s
.02381 .16667 m
.02756 .16667 L
s
.02381 .2619 m
.02756 .2619 L
s
.02381 .30952 m
.02756 .30952 L
s
.02381 .35714 m
.02756 .35714 L
s
.02381 .45238 m
.02756 .45238 L
s
.02381 .5 m
.02756 .5 L
s
.02381 .54762 m
.02756 .54762 L
s
.02381 .64286 m
.02756 .64286 L
s
.02381 .69048 m
.02756 .69048 L
s
.02381 .7381 m
.02756 .7381 L
s
.02381 .83333 m
.02756 .83333 L
s
.02381 .88095 m
.02756 .88095 L
s
.02381 .92857 m
.02756 .92857 L
s
.25 Mabswid
.02381 0 m
.02381 1 L
s
0 0 m
1 0 L
1 1 L
0 1 L
closepath
clip
newpath
0 0 1 r
.007 w
.02381 .97619 m
.02499 .97619 L
.02605 .97618 L
.02729 .97617 L
.02846 .97616 L
.03053 .97613 L
.03279 .97609 L
.03527 .97602 L
.0379 .97593 L
.04262 .97573 L
.04749 .97546 L
.05205 .97516 L
.06244 .97426 L
.07305 .97305 L
.08274 .97169 L
.10458 .96775 L
.12357 .96333 L
.14429 .95745 L
.18493 .94276 L
.22406 .92471 L
.26565 .90143 L
.30571 .87509 L
.34426 .84623 L
.38527 .8119 L
.42475 .77543 L
.46273 .73735 L
.50315 .69374 L
.54206 .64895 L
.58342 .59852 L
.62326 .5474 L
.66159 .4961 L
.70238 .43944 L
.74164 .38312 L
.77939 .32754 L
.8196 .26706 L
.85828 .20785 L
.89942 .14407 L
.93905 .08212 L
.97619 .02381 L
s
1 0 0 r
.02381 .97619 m
.02499 .97619 L
.02605 .97619 L
.02729 .97618 L
.02846 .97617 L
.03053 .97614 L
.03279 .97611 L
.03527 .97605 L
.0379 .97598 L
.04262 .97582 L
.04749 .9756 L
.05205 .97535 L
.06244 .97462 L
.07305 .97365 L
.08274 .97254 L
.10458 .96934 L
.12357 .96574 L
.14429 .96095 L
.18493 .94893 L
.22406 .93408 L
.26565 .91478 L
.30571 .89275 L
.34426 .86837 L
.38527 .83901 L
.42475 .8074 L
.46273 .77391 L
.50315 .73494 L
.54206 .69418 L
.58342 .64737 L
.62326 .59888 L
.66159 .54908 L
.70238 .49271 L
.74164 .43514 L
.77939 .37674 L
.8196 .31125 L
.85828 .24503 L
.89942 .17116 L
.93905 .09665 L
.97619 .02381 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{358.75, 358.75},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40005V0001IR000`400?l00000o`00003ooooooomW
ooooo`00oooooomWooooo`00oooooomWooooo`00oooooomWooooo`00oooooomWooooo`00D?ooool2
o`0000Cooooo00Co0000oooooooooooooooo1Ol0000cooooo`;o00001?ooool00ol0003ooooooooo
o`03ooooo`?o0000<_ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3o`0003Cooooo0_l0
0004ooooo`03o`000?oooooooooo00;ooooo0ol0000hooooo`?o00002?ooool004oooooo00Co0000
oooooooooooo00002?ooool01?l0003oooooooooool0000booooo`04o`000?ooooooooooo`0000[o
oooo00?o0000ooooooooool0<?ooool01?l0003oooooooooool00007ooooo`05o`000?oooooooooo
ooooool00000<_ooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool00000
>?ooool00ol0003oooooooooo`07ooooo`00Coooool01?l0003oooooooooool00009ooooo`03o`00
0?oooooooooo03;ooooo00Co0000oooooooooooo00001oooool5o`00037ooooo00Co0000oooooooo
oooo00001oooool01Ol0003ooooooooooooooooo000003;ooooo00Co0000oooooooooooo00001ooo
ool01Ol0003ooooooooooooooooo000003Sooooo00?o0000ooooooooool01oooool004oooooo00Co
0000oooooooooooo00002_ooool00ol0003oooooooooo`0aooooo`04o`000?ooooooooooo`0000Oo
oooo00Co0000oooooooooooo0000<_ooool01?l0003oooooooooool00007ooooo`Co0000<oooool0
1?l0003oooooooooool00008ooooo`?o0000>Oooool00ol0003oooooooooo`07ooooo`005_ooool0
0ol0003oooooooooo`0fooooo`04o`000?ooooooooooo`0000Oooooo00Go0000oooooooooooooooo
o`00000booooo`04o`000?ooooooooooo`0000Sooooo00?o0000ooooool00000<_ooool01?l0003o
ooooooooool00007ooooo`03o`000?oooooooooo03Cooooo00Co0000oooooooooooo00001oooool0
1Ol0003ooooooooooooooooo000003Sooooo00?o0000ooooooooool01oooool001Kooooo00?o0000
ooooooooool0=_ooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool00000
<_ooool01?l0003oooooooooool00009ooooo`;o0000<_ooool01?l0003oooooooooool00008oooo
o`03o`000?oooooooooo03?ooooo00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooo
oooo000003Oooooo0_l00009ooooo`005_ooool00ol0003oooooooooo`0gooooo`;o00002Oooool3
o`0003Cooooo0_l0000;ooooo`03o`000?oooooooooo037ooooo0_l0000:ooooo`;o0000=?ooool2
o`0000Wooooo0ol0000iooooo`03o`000?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo
0?ooooooC_ooool001Kooooo00?o0000ooooooooool0oooooom>ooooo`005_ooool00ol0003ooooo
ooooo`3oooooodkooooo000Fooooo`03o`000?oooooooooo0?ooooooC_ooool001Kooooo00?o0000
ooooooooool0oooooom>ooooo`005_ooool00ol0003oooooooooo`3oooooodkooooo000>oooooooo
0000Col00002ool000So0000000Fooooo`03o`000?oooooooooo00gooooo00?o0000ooooooooool0
3_ooool00ol0003oooooooooo`0=ooooo`03o`000?oooooooooo00gooooo00?o0000ooooooooool0
3_ooool00ol0003oooooooooo`0=ooooo`03o`000?oooooooooo00gooooo00?o0000ooooooooool0
3_ooool00ol0003oooooooooo`0=ooooo`03o`000?oooooooooo00gooooo00?o0000ooooooooool0
3_ooool00ol0003oooooooooo`0=ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool0
3Oooool00ol0003oooooooooo`0=ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool0
3Oooool00ol0003oooooooooo`0=ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool0
3?ooool2ool000Sooooo000Fooooo`03o`000?oooooooooo03kooooo00?o0000ooooooooool0?ooo
ool00ol0003oooooooooo`0nooooo`03o`000?oooooooooo03oooooo00?o0000ooooooooool0??oo
ool3ool000Sooooo000Fooooo`03o`000?oooooooooo0?oooooo@_ooool00ol00?ooo`00ool00009
ooooo`005_ooool00ol0003oooooooooo`3ooooood;ooooo0ooo0009ooooo`005_ooool00ol0003o
ooooooooo`3ooooood7ooooo00?o003oool00?oo00002_ooool001Kooooo00?o0000ooooooooool0
oooooom0ooooo`04o`00oooo003oo`00ool000[ooooo000Fooooo`03o`000?oooooooooo0?oooooo
@?ooool00ol00?ooo`00ool0000;ooooo`005_ooool00ol0003oooooooooo`3oooooocoooooo00Co
003oool00?oo003oo`002oooool001Kooooo00?o0000ooooooooool0oooooolnooooo`;o003o0_oo
000<ooooo`005_ooool00ol0003oooooooooo`3oooooockooooo00Co003oool00?oo003oo`003?oo
ool001Kooooo00?o0000ooooooooool0oooooolmooooo`;o003o0_oo000=ooooo`005_ooool00ol0
003oooooooooo`3oooooocgooooo00Co003oool00?oo003oo`003Oooool001Kooooo00?o0000oooo
ooooool0oooooollooooo`04o`00oooo003oo`00ool000kooooo000Fooooo`03o`000?oooooooooo
0?oooooo>oooool2o`00o`;oo`003oooool001Kooooo00?o0000ooooooooool0oooooolkooooo`04
o`00oooo003oo`00ool000oooooo000Fooooo`;o0000oooooolkooooo`;o003o0_oo000@ooooo`00
5_ooool00ol0003oooooooooo`3oooooocWooooo0_l00?l3ool0013ooooo000Fooooo`03o`000?oo
oooooooo0?oooooo>Oooool2o`00o`;oo`004Oooool001Kooooo00?o0000ooooooooool0oooooolh
ooooo`;o003o0ooo000Aooooo`005_ooool00ol0003oooooooooo`3oooooocOooooo0ol00?l2ool0
01;ooooo000Fooooo`03o`000?oooooooooo0?oooooo=oooool2o`00o`?oo`004_ooool001Kooooo
00?o0000ooooooooool0oooooolfooooo`?o003o0_oo000Cooooo`005_ooool00ol0003ooooooooo
o`3oooooocGooooo0ol00?l3ool001?ooooo000Fooooo`03o`000?oooooooooo0?oooooo=Oooool2
o`00o`03oooooooo003oo`0001Cooooo000Fooooo`03o`000?oooooooooo0?oooooo=?ooool3o`00
o`?oo`005?ooool001Kooooo00?o0000ooooooooool0ooooooldooooo`;o003o00?oooooool00?oo
00005Oooool001Kooooo00?o0000ooooooooool0oooooolcooooo`?o003o0ooo000Eooooo`005_oo
ool00ol0003oooooooooo`3ooooooc;ooooo0ol00?l00oooooooo`00ool0000Fooooo`005_ooool0
0ol0003oooooooooo`3ooooooc;ooooo0_l00?l01?ooooooo`00ool00?oo000Fooooo`005_ooool0
0ol0003oooooooooo`3ooooooc7ooooo0ol00?l00oooooooo`00ool0000Gooooo`005_ooool00ol0
003oooooooooo`3ooooooc3ooooo0ol00?l01?ooooooo`00ool00?oo000Gooooo`005_ooool2o`00
0?oooooo<Oooool2o`00o`;ooooo0_oo000Hooooo`005_ooool00ol0003oooooooooo`3ooooooboo
oooo0ol00?l01?ooooooo`00ool00?oo000Hooooo`005_ooool00ol0003oooooooooo`3ooooooboo
oooo0_l00?l2ooooo`;oo`006Oooool001Kooooo00?o0000ooooooooool0ooooool^ooooo`?o003o
00Coooooool00?oo003oo`006Oooool001Kooooo00?o0000ooooooooool0ooooool]ooooo`?o003o
0_ooool2ool001[ooooo000Fooooo`03o`000?oooooooooo0?oooooo;Oooool2o`00o`;ooooo0ooo
000Jooooo`005_ooool00ol0003oooooooooo`3oooooobcooooo0ol00?l01?ooooooo`00ool00?oo
000Kooooo`005_ooool00ol0003oooooooooo`3oooooobcooooo0_l00?l2ooooo`;oo`007?ooool0
01Kooooo00?o0000ooooooooool0ooooool[ooooo`?o003o00Coooooool00?oo003oo`007?ooool0
01Kooooo00?o0000ooooooooool0oooooolZooooo`?o003o0_ooool2ool001gooooo000Fooooo`03
o`000?oooooooooo0?oooooo:_ooool2o`00o`;ooooo0ooo000Mooooo`005_ooool00ol0003ooooo
ooooo`3oooooobWooooo0ol00?l2ooooo`;oo`007_ooool001Kooooo00?o0000ooooooooool0oooo
oolXooooo`?o003o0_ooool3ool001kooooo000Fooooo`03o`000?oooooooooo0?oooooo:?ooool2
o`00o`?ooooo0_oo000Oooooo`005_ooool00ol0003oooooooooo`3oooooobOooooo0ol00?l2oooo
o`?oo`007oooool001Kooooo00?o0000ooooooooool0oooooolVooooo`?o003o0oooool2ool0023o
oooo000Fooooo`03o`000?oooooooooo0?oooooo9_ooool2o`00o`?ooooo0ooo000Pooooo`005_oo
ool2o`000?oooooo9_ooool3o`00o`?ooooo0_oo000Qooooo`005_ooool00ol0003oooooooooo`3o
ooooobGooooo0_l00?l3ooooo`?oo`008Oooool001Kooooo00?o0000ooooooooool0oooooolToooo
o`?o003o0oooool2ool002;ooooo000Fooooo`03o`000?oooooooooo0?oooooo8oooool3o`00o`?o
oooo0ooo000Rooooo`005_ooool00ol0003oooooooooo`3oooooob?ooooo0_l00?l4ooooo`;oo`00
8oooool001Kooooo00?o0000ooooooooool0oooooolRooooo`?o003o0oooool3ool002?ooooo000F
ooooo`03o`000?oooooooooo0?oooooo8Oooool3o`00o`Cooooo0_oo000Tooooo`005_ooool00ol0
003oooooooooo`3oooooob7ooooo0_l00?l4ooooo`?oo`009?ooool001Kooooo00?o0000oooooooo
ool0oooooolPooooo`?o003o0oooool3ool002Gooooo000Fooooo`03o`000?oooooooooo0?oooooo
7oooool3o`00o`Cooooo0_oo000Vooooo`005_ooool00ol0003oooooooooo`3ooooooaoooooo0_l0
0?l4ooooo`?oo`009_ooool001Kooooo00?o0000ooooooooool0oooooolNooooo`?o003o1?ooool2
ool002Oooooo000Fooooo`03o`000?oooooooooo0?oooooo7_ooool2o`00o`Cooooo0ooo000Woooo
o`005_ooool00ol0003oooooooooo`3ooooooagooooo0ol00?l4ooooo`;oo`00:?ooool000;ooooo
0_l00004ooooo`04o`000?ooooooooooooooo`Go00001Oooool00ol0003oooooooooo`3ooooooaco
oooo0ol00?l4ooooo`?oo`00:?ooool00005ooooool0003oooooooooool000002?ooool01?l0003o
ooooooooool00005ooooo`03o`000?oooooooooo0?oooooo7?ooool2o`00o`Gooooo0_oo000Yoooo
o`0000Goooooo`000?ooooooooooo`000009ooooo`03o`000?oooooooooo00Gooooo0ol0003ooooo
oa_ooooo0ol00?l4ooooo`?oo`00:Oooool00005ooooool0003oooooooooool000002_ooool00ol0
003oooooooooo`04ooooo`03o`000?oooooooooo0?oooooo6_ooool3o`00o`Gooooo0_oo000Zoooo
o`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool000001Oooool0
0ol0003oooooooooo`3ooooooa[ooooo0_l00?l5ooooo`?oo`00:_ooool00005ooooool0003ooooo
ooooool000001oooool01Ol0003ooooooooooooooooo000000Gooooo00?o0000ooooooooool0oooo
oolIooooo`?o003o1Oooool2ool002_ooooo0002ooooo`;o00002Oooool3o`0000Kooooo00?o0000
ooooooooool0oooooolHooooo`?o003o1Oooool3ool002_ooooo000Fooooo`03o`000?oooooooooo
0?oooooo5oooool3o`00o`Gooooo0ooo000/ooooo`005_ooool00ol0003oooooooooo`3ooooooaOo
oooo0_l00?l6ooooo`;oo`00;Oooool001Kooooo00?o0000ooooooooool0oooooolFooooo`?o003o
1Oooool3ool002gooooo000Fooooo`03o`000?oooooooooo0?oooooo5Oooool3o`00o`Kooooo0_oo
000^ooooo`005_ooool00ol0003oooooooooo`3ooooooaGooooo0_l00?l6ooooo`?oo`00;_ooool0
01Kooooo00?o0000ooooooooool0oooooolDooooo`?o003o1_ooool2ool002oooooo000Fooooo`03
o`000?oooooooooo0?oooooo4oooool3o`00o`Kooooo0ooo000_ooooo`005_ooool00ol0003ooooo
ooooo`3ooooooa?ooooo0_l00?l7ooooo`;oo`00<?ooool001Kooooo00?o0000ooooooooool0oooo
oolBooooo`?o003o1_ooool3ool0033ooooo000Fooooo`03o`000?oooooooooo0?oooooo4Oooool3
o`00o`Kooooo0ooo000aooooo`005_ooool00ol0003oooooooooo`3ooooooa3ooooo0ol00?l7oooo
o`;oo`00<_ooool001Kooooo0_l0003ooooooa7ooooo0_l00?l7ooooo`?oo`00<_ooool001Kooooo
00?o0000ooooooooool0ooooool?ooooo`?o003o1_ooool3ool003?ooooo000Fooooo`03o`000?oo
oooooooo0?oooooo3_ooool3o`00o`Oooooo0_oo000dooooo`005_ooool00ol0003oooooooooo`3o
ooooo`kooooo0_l00?l7ooooo`?oo`00=?ooool001Kooooo00?o0000ooooooooool0ooooool=oooo
o`?o003o1oooool2ool003Gooooo000Fooooo`03o`000?oooooooooo0?oooooo3?ooool3o`00o`Oo
oooo0ooo000eooooo`005_ooool00ol0003oooooooooo`3oooooo`cooooo0_l00?l7ooooo`?oo`00
=_ooool001Kooooo00?o0000ooooooooool0ooooool;ooooo`?o003o1oooool2ool003Oooooo000F
ooooo`03o`000?oooooooooo0?oooooo2_ooool3o`00o`Oooooo0ooo000gooooo`005_ooool00ol0
003oooooooooo`3oooooo`[ooooo0_l00?l7ooooo`?oo`00>?ooool001Kooooo00?o0000oooooooo
ool0ooooool9ooooo`?o003o1oooool2ool003Wooooo000Fooooo`03o`000?oooooooooo0?oooooo
2?ooool3o`00o`Oooooo0ooo000iooooo`005_ooool00ol0003oooooooooo`3oooooo`Sooooo0_l0
0?l7ooooo`?oo`00>_ooool001Kooooo00?o0000ooooooooool0ooooool7ooooo`?o003o1oooool2
ool003_ooooo000Fooooo`03o`000?oooooooooo0?oooooo1_ooool3o`00o`Oooooo0ooo000koooo
o`005_ooool00ol0003oooooooooo`3oooooo`Kooooo0_l00?l8ooooo`;oo`00??ooool001Kooooo
00?o0000ooooooooool0ooooool5ooooo`?o003o1oooool3ool003cooooo000Fooooo`;o0000oooo
ool5ooooo`?o003o1oooool3ool003gooooo000Fooooo`03o`000?oooooooooo0?oooooo1?ooool2
o`00o`Sooooo0_oo000nooooo`005_ooool00ol0003oooooooooo`3oooooo`?ooooo0ol00?l7oooo
o`?oo`00?_ooool001Kooooo00?o0000ooooooooool0ooooool2ooooo`?o003o1oooool3ool003oo
oooo000Fooooo`03o`000?oooooooooo0?oooooo0_ooool2o`00o`Sooooo0_oo0010ooooo`005_oo
ool00ol0003oooooooooo`3oooooo`7ooooo0ol00?l7ooooo`?oo`00@?ooool001Kooooo00?o0000
ooooooooool0ooooool3o`00o`Sooooo0_oo0011ooooo`005_ooool00ol0003oooooooooo`3ooooo
o`;o003o2?ooool3ool0047ooooo000Fooooo`03o`000?oooooooooo0?kooooo0ol00?l7ooooo`?o
o`00@_ooool001Kooooo00?o0000ooooooooool0oOooool3o`00o`Sooooo0_oo0013ooooo`005_oo
ool00ol0003oooooooooo`3mooooo`;o003o2?ooool3ool004?ooooo000Fooooo`03o`000?oooooo
oooo0?cooooo0ol00?l8ooooo`;oo`00A?ooool001Kooooo00?o0000ooooooooool0noooool3o`00
o`Sooooo0ooo0014ooooo`005_ooool00ol0003oooooooooo`3kooooo`;o003o2?ooool3ool004Go
oooo000Fooooo`03o`000?oooooooooo0?[ooooo0ol00?l8ooooo`;oo`00A_ooool001Kooooo00?o
0000ooooooooool0nOooool3o`00o`Sooooo0ooo0016ooooo`005_ooool2o`000?Wooooo0ol00?l9
ooooo`;oo`00Aoooool001Kooooo00?o0000ooooooooool0n?ooool2o`00o`Wooooo0ooo0017oooo
o`005_ooool00ol0003oooooooooo`3gooooo`?o003o2?ooool3ool004Sooooo000Fooooo`03o`00
0?oooooooooo0?Kooooo0ol00?l9ooooo`;oo`00BOooool001Kooooo00?o0000ooooooooool0m_oo
ool2o`00o`Wooooo0ooo0019ooooo`005_ooool00ol0003oooooooooo`3eooooo`?o003o2Oooool2
ool004[ooooo000Fooooo`03o`000?oooooooooo0?Cooooo0ol00?l9ooooo`?oo`00B_ooool001Ko
oooo00?o0000ooooooooool0m?ooool2o`00o`Wooooo0ooo001;ooooo`005_ooool00ol0003ooooo
ooooo`3cooooo`?o003o2Oooool2ool004cooooo000Fooooo`03o`000?oooooooooo0?;ooooo0ol0
0?l9ooooo`?oo`00C?ooool001Kooooo00?o0000ooooooooool0l_ooool2o`00o`Wooooo0ooo001=
ooooo`005_ooool00ol0003oooooooooo`3aooooo`?o003o2Oooool2ool004kooooo000Fooooo`03
o`000?oooooooooo0?3ooooo0ol00?l9ooooo`?oo`00C_ooool001Kooooo00?o0000ooooooooool0
l?ooool2o`00o`Wooooo0ooo001?ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00ooo
ool3o`0000Gooooo00?o0000ooooooooool0koooool3o`00o`Wooooo0_oo001@ooooo`0000Gooooo
o`000?ooooooooooo`00000:ooooo`03o`000?oooooooooo00Cooooo00?o0000ooooooooool0k_oo
ool3o`00o`Wooooo0ooo001@ooooo`0000Goooooo`000?ooooooooooo`000007ooooo`Go00001Ooo
ool3o`000>kooooo0_l00?l9ooooo`?oo`00DOooool00005ooooool0003oooooooooool000001ooo
ool01?l0003oooooooooool00006ooooo`03o`000?oooooooooo0>gooooo0ol00?l9ooooo`;oo`00
D_ooool00005ooooool0003oooooooooool000002?ooool00ol0003oooooo`000006ooooo`03o`00
0?oooooooooo0>cooooo0ol00?l9ooooo`?oo`00D_ooool00005ooooool0003oooooooooool00000
2Oooool2o`0000Kooooo00?o0000ooooooooool0joooool3o`00o`[ooooo0_oo001Cooooo`000_oo
ool2o`0000_ooooo00?o0000ooooooooool01?ooool00ol0003oooooooooo`3[ooooo`;o003o2_oo
ool3ool005?ooooo000Fooooo`03o`000?oooooooooo0>[ooooo0ol00?l9ooooo`?oo`00E?ooool0
01Kooooo00?o0000ooooooooool0jOooool3o`00o`[ooooo0_oo001Eooooo`005_ooool00ol0003o
ooooooooo`3Yooooo`;o003o2_ooool3ool005Gooooo000Fooooo`03o`000?oooooooooo0>Sooooo
0ol00?l9ooooo`?oo`00E_ooool001Kooooo00?o0000ooooooooool0ioooool3o`00o`[ooooo0_oo
001Gooooo`005_ooool00ol0003oooooooooo`3Wooooo`;o003o2_ooool3ool005Oooooo000Foooo
o`03o`000?oooooooooo0>Kooooo0ol00?l9ooooo`?oo`00F?ooool001Kooooo00?o0000oooooooo
ool0iOooool3o`00o`[ooooo0_oo001Iooooo`005_ooool00ol0003oooooooooo`3Uooooo`;o003o
2_ooool3ool005Wooooo000Fooooo`03o`000?oooooooooo0>Cooooo0ol00?l9ooooo`?oo`00F_oo
ool001Kooooo00?o0000ooooooooool0hoooool3o`00o`[ooooo0_oo001Kooooo`005_ooool00ol0
003oooooooooo`3Sooooo`;o003o2_ooool3ool005_ooooo000Fooooo`;o0000hoooool3o`00o`Wo
oooo0ooo001Looooo`005_ooool00ol0003oooooooooo`3Qooooo`?o003o2_ooool2ool005gooooo
000Fooooo`03o`000?oooooooooo0>3ooooo0ol00?l:ooooo`?oo`00GOooool001Kooooo00?o0000
ooooooooool0h?ooool2o`00o`[ooooo0ooo001Nooooo`005_ooool00ol0003oooooooooo`3Ooooo
o`?o003o2_ooool2ool005oooooo000Fooooo`03o`000?oooooooooo0=kooooo0ol00?l:ooooo`?o
o`00Goooool001Kooooo00?o0000ooooooooool0g_ooool2o`00o`_ooooo0_oo001Pooooo`005_oo
ool00ol0003oooooooooo`3Mooooo`?o003o2_ooool3ool0063ooooo000Fooooo`03o`000?oooooo
oooo0=cooooo0ol00?l:ooooo`?oo`00HOooool001Kooooo00?o0000ooooooooool0g?ooool2o`00
o`_ooooo0_oo001Rooooo`005_ooool00ol0003oooooooooo`3Kooooo`?o003o2_ooool3ool006;o
oooo000Fooooo`03o`000?oooooooooo0=[ooooo0ol00?l:ooooo`?oo`00Hoooool001Kooooo00?o
0000ooooooooool0fOooool3o`00o`_ooooo0_oo001Tooooo`005_ooool00ol0003oooooooooo`3I
ooooo`;o003o2oooool3ool006Cooooo000Fooooo`03o`000?oooooooooo0=Sooooo0ol00?l:oooo
o`?oo`00IOooool001Kooooo00?o0000ooooooooool0eoooool3o`00o`_ooooo0_oo001Vooooo`00
5_ooool2o`000=Sooooo0_l00?l;ooooo`?oo`00I_ooool001Kooooo00?o0000ooooooooool0e_oo
ool3o`00o`[ooooo0ooo001Wooooo`005_ooool00ol0003oooooooooo`3Eooooo`?o003o2_ooool3
ool006Sooooo000Fooooo`03o`000?oooooooooo0=Cooooo0ol00?l;ooooo`;oo`00JOooool001Ko
oooo00?o0000ooooooooool0e?ooool2o`00o`_ooooo0ooo001Yooooo`005_ooool00ol0003ooooo
ooooo`3Cooooo`?o003o2_ooool3ool006[ooooo000Fooooo`03o`000?oooooooooo0=;ooooo0ol0
0?l:ooooo`?oo`00Joooool001Kooooo00?o0000ooooooooool0dOooool3o`00o`_ooooo0_oo001/
ooooo`005_ooool00ol0003oooooooooo`3@ooooo`?o003o2oooool3ool006cooooo000Fooooo`03
o`000?oooooooooo0=3ooooo0_l00?l;ooooo`?oo`00KOooool001Kooooo00?o0000ooooooooool0
coooool3o`00o`_ooooo0_oo001^ooooo`005_ooool00ol0003oooooooooo`3>ooooo`?o003o2ooo
ool3ool006kooooo000Fooooo`03o`000?oooooooooo0<gooooo0ol00?l;ooooo`?oo`00Koooool0
01Kooooo00?o0000ooooooooool0cOooool2o`00o`_ooooo0ooo001`ooooo`005_ooool00ol0003o
ooooooooo`3<ooooo`?o003o2oooool2ool0077ooooo000Fooooo`03o`000?oooooooooo0<_ooooo
0ol00?l;ooooo`?oo`00LOooool001Kooooo00?o0000ooooooooool0b_ooool3o`00o`_ooooo0ooo
001booooo`005_ooool2o`000<_ooooo0_l00?l;ooooo`?oo`00Loooool001Kooooo00?o0000oooo
ooooool0bOooool3o`00o`_ooooo0_oo001dooooo`005_ooool00ol0003oooooooooo`38ooooo`?o
003o2oooool3ool007Cooooo000Fooooo`03o`000?oooooooooo0<Oooooo0ol00?l;ooooo`?oo`00
MOooool001Kooooo00?o0000ooooooooool0a_ooool3o`00o`_ooooo0ooo001fooooo`005_ooool0
0ol0003oooooooooo`36ooooo`;o003o3?ooool2ool007Oooooo000Fooooo`03o`000?oooooooooo
0<Gooooo0ol00?l;ooooo`?oo`00Moooool001Kooooo00?o0000ooooooooool0a?ooool3o`00o`_o
oooo0ooo001hooooo`005_ooool00ol0003oooooooooo`33ooooo`?o003o2oooool3ool007Wooooo
000Fooooo`03o`000?oooooooooo0<?ooooo0_l00?l;ooooo`?oo`00N_ooool001Kooooo00?o0000
ooooooooool0`_ooool3o`00o`_ooooo0_oo001kooooo`005_ooool00ol0003oooooooooo`31oooo
o`?o003o2oooool3ool007_ooooo000Fooooo`03o`000?oooooooooo0<3ooooo0ol00?l;ooooo`?o
o`00O?ooool000;ooooo0_l00004ooooo`03o`000?oooooooooo00;ooooo0ol00006ooooo`03o`00
0?oooooooooo0;oooooo0ol00?l;ooooo`?oo`00OOooool00005ooooool0003oooooooooool00000
1oooool01Ol0003ooooooooooooooooo000000Gooooo00?o0000ooooooooool0_oooool2o`00o`co
oooo0_oo001nooooo`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?oooooooooooooo
ool000001Oooool00ol0003oooooooooo`2nooooo`?o003o2oooool3ool007kooooo00001Ooooooo
0000oooooooooooo000000Oooooo1?l00006ooooo`?o0000_Oooool3o`00o`_ooooo0ooo001ooooo
o`0000Goooooo`000?ooooooooooo`000007ooooo`03o`000?oooooooooo00Oooooo00?o0000oooo
ooooool0_?ooool3o`00o`_ooooo0ooo0020ooooo`0000Goooooo`000?ooooooooooo`000008oooo
o`03o`000?oooooooooo00Kooooo00?o0000ooooooooool0_?ooool2o`00o`cooooo0_oo0021oooo
o`000_ooool2o`0000[ooooo0_l00006ooooo`03o`000?oooooooooo0;_ooooo0ol00?l;ooooo`?o
o`00POooool001Kooooo00?o0000ooooooooool0^_ooool3o`00o`_ooooo0ooo0022ooooo`005_oo
ool00ol0003oooooooooo`2iooooo`?o003o2oooool3ool008?ooooo000Fooooo`03o`000?oooooo
oooo0;Sooooo0ol00?l;ooooo`?oo`00Q?ooool001Kooooo00?o0000ooooooooool0]oooool3o`00
o`_ooooo0ooo0025ooooo`005_ooool00ol0003oooooooooo`2gooooo`;o003o3?ooool2ool008Ko
oooo000Fooooo`03o`000?oooooooooo0;Kooooo0ol00?l;ooooo`?oo`00Q_ooool001Kooooo00?o
0000ooooooooool0]Oooool3o`00o`_ooooo0ooo0027ooooo`005_ooool00ol0003oooooooooo`2d
ooooo`?o003o2oooool3ool008Sooooo000Fooooo`03o`000?oooooooooo0;?ooooo0ol00?l;oooo
o`?oo`00ROooool001Kooooo00?o0000ooooooooool0/oooool2o`00o`cooooo0_oo002:ooooo`00
5_ooool00ol0003oooooooooo`2booooo`?o003o2oooool3ool008[ooooo000Fooooo`03o`000?oo
oooooooo0;7ooooo0ol00?l;ooooo`?oo`00Roooool001Kooooo0_l0002aooooo`?o003o2oooool3
ool008cooooo000Fooooo`03o`000?oooooooooo0:oooooo0ol00?l;ooooo`?oo`00SOooool001Ko
oooo00?o0000ooooooooool0[_ooool3o`00o`_ooooo0ooo002>ooooo`005_ooool00ol0003ooooo
ooooo`2^ooooo`;o003o3?ooool2ool008oooooo000Fooooo`03o`000?oooooooooo0:gooooo0ol0
0?l;ooooo`?oo`00Soooool001Kooooo00?o0000ooooooooool0[?ooool3o`00o`_ooooo0ooo002@
ooooo`005_ooool00ol0003oooooooooo`2[ooooo`?o003o2oooool3ool0097ooooo000Fooooo`03
o`000?oooooooooo0:[ooooo0ol00?l;ooooo`?oo`00T_ooool001Kooooo00?o0000ooooooooool0
Z_ooool2o`00o`_ooooo0ooo002Cooooo`005_ooool00ol0003oooooooooo`2Yooooo`?o003o2_oo
ool3ool009Cooooo000Fooooo`03o`000?oooooooooo0:Sooooo0ol00?l:ooooo`?oo`00UOooool0
01Kooooo00?o0000ooooooooool0Yoooool3o`00o`_ooooo0_oo002Fooooo`005_ooool00ol0003o
ooooooooo`2Vooooo`?o003o2oooool3ool009Kooooo000Fooooo`03o`000?oooooooooo0:Gooooo
0ol00?l;ooooo`?oo`00Uoooool001Kooooo00?o0000ooooooooool0YOooool2o`00o`_ooooo0ooo
002Hooooo`005_ooool00ol0003oooooooooo`2Tooooo`?o003o2_ooool3ool009Wooooo000Foooo
o`03o`000?oooooooooo0:?ooooo0ol00?l:ooooo`?oo`00V_ooool001Kooooo0_l0002Sooooo`?o
003o2_ooool3ool009_ooooo000Fooooo`03o`000?oooooooooo0:7ooooo0ol00?l:ooooo`?oo`00
W?ooool001Kooooo00?o0000ooooooooool0XOooool2o`00o`_ooooo0_oo002Mooooo`005_ooool0
0ol0003oooooooooo`2Pooooo`?o003o2_ooool3ool009gooooo000Fooooo`03o`000?oooooooooo
09oooooo0ol00?l:ooooo`?oo`00W_ooool001Kooooo00?o0000ooooooooool0W_ooool3o`00o`[o
oooo0ooo002Oooooo`005_ooool00ol0003oooooooooo`2Mooooo`?o003o2_ooool3ool00:3ooooo
000Fooooo`03o`000?oooooooooo09cooooo0ol00?l:ooooo`?oo`00XOooool001Kooooo00?o0000
ooooooooool0Voooool3o`00o`[ooooo0ooo002Rooooo`005_ooool00ol0003oooooooooo`2Joooo
o`?o003o2_ooool3ool00:?ooooo000Fooooo`03o`000?oooooooooo09Wooooo0ol00?l:ooooo`?o
o`00Y?ooool001Kooooo00?o0000ooooooooool0V?ooool3o`00o`[ooooo0ooo002Uooooo`005_oo
ool00ol0003oooooooooo`2Gooooo`?o003o2_ooool3ool00:Kooooo000Fooooo`03o`000?oooooo
oooo09Kooooo0ol00?l:ooooo`?oo`00Yoooool001Kooooo00?o0000ooooooooool0UOooool3o`00
o`[ooooo0ooo002Xooooo`005_ooool00ol0003oooooooooo`2Dooooo`?o003o2Oooool4ool00:Wo
oooo000Fooooo`;o0000U?ooool3o`00o`Wooooo1?oo002Zooooo`005_ooool00ol0003ooooooooo
o`2Booooo`?o003o2Oooool3ool00:cooooo000Fooooo`03o`000?oooooooooo097ooooo0ol00?l9
ooooo`?oo`00[Oooool001Kooooo00?o0000ooooooooool0T?ooool3o`00o`Wooooo0ooo002^oooo
o`005_ooool00ol0003oooooooooo`2?ooooo`?o003o2Oooool3ool00:oooooo000Fooooo`03o`00
0?oooooooooo08kooooo0ol00?l9ooooo`?oo`00/?ooool001Kooooo00?o0000ooooooooool0SOoo
ool3o`00o`Wooooo0ooo002aooooo`005_ooool00ol0003oooooooooo`2<ooooo`?o003o2Oooool3
ool00;;ooooo000Fooooo`03o`000?oooooooooo08_ooooo0ol00?l9ooooo`?oo`00/oooool001Ko
oooo00?o0000ooooooooool0R_ooool3o`00o`Wooooo0ooo002dooooo`005_ooool00ol0003ooooo
ooooo`29ooooo`?o003o2Oooool3ool00;Gooooo000Fooooo`03o`000?oooooooooo08Sooooo0ol0
0?l9ooooo`?oo`00]_ooool001Kooooo00?o0000ooooooooool0Qoooool3o`00o`Sooooo1?oo002g
ooooo`005_ooool00ol0003oooooooooo`25ooooo`Co003o2?ooool4ool00;Sooooo0002ooooo`;o
00001?ooool00ol0003oooooooooo`02ooooo`?o00001_ooool00ol0003oooooooooo`24ooooo`Co
003o2?ooool3ool00;[ooooo00001Ooooooo0000oooooooooooo000000Oooooo00Go0000oooooooo
ooooooooo`000005ooooo`03o`000?oooooooooo08?ooooo0ol00?l9ooooo`?oo`00^oooool00005
ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo000000Gooooo0ol00022
ooooo`?o003o2Oooool3ool00;cooooo00001Ooooooo0000oooooooooooo000000Sooooo0ol00006
ooooo`03o`000?oooooooooo087ooooo0ol00?l9ooooo`?oo`00_Oooool00005ooooool0003ooooo
ooooool000001oooool01Ol0003ooooooooooooooooo000000Gooooo00?o0000ooooooooool0P?oo
ool3o`00o`Wooooo0ooo002nooooo`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?oo
ooooooooooooool000001Oooool00ol0003oooooooooo`1nooooo`Co003o2Oooool3ool00;oooooo
0002ooooo`;o00002Oooool3o`0000Kooooo00?o0000ooooooooool0OOooool4o`00o`Wooooo0ooo
0030ooooo`005_ooool00ol0003oooooooooo`1looooo`?o003o2_ooool3ool00<7ooooo000Foooo
o`03o`000?oooooooooo07_ooooo0ol00?l:ooooo`?oo`00`_ooool001Kooooo00?o0000oooooooo
ool0N_ooool3o`00o`[ooooo0ooo0033ooooo`005_ooool00ol0003oooooooooo`1iooooo`?o003o
2Oooool4ool00<Cooooo000Fooooo`03o`000?oooooooooo07Oooooo1?l00?l9ooooo`Coo`00aOoo
ool001Kooooo00?o0000ooooooooool0M_ooool4o`00o`Wooooo0ooo0037ooooo`005_ooool00ol0
003oooooooooo`1eooooo`?o003o2_ooool3ool00<Sooooo000Fooooo`03o`000?oooooooooo07Co
oooo0ol00?l9ooooo`Coo`00bOooool001Kooooo00?o0000ooooooooool0Loooool3o`00o`Wooooo
1?oo003:ooooo`005_ooool00ol0003oooooooooo`1booooo`?o003o2Oooool3ool00<cooooo000F
ooooo`03o`000?oooooooooo073ooooo1?l00?l8ooooo`Coo`00cOooool001Kooooo00?o0000oooo
ooooool0Koooool4o`00o`Sooooo1?oo003>ooooo`005_ooool2o`0006oooooo0ol00?l9ooooo`?o
o`00d?ooool001Kooooo00?o0000ooooooooool0KOooool3o`00o`Wooooo0ooo003Aooooo`005_oo
ool00ol0003oooooooooo`1/ooooo`?o003o2?ooool4ool00=;ooooo000Fooooo`03o`000?oooooo
oooo06_ooooo0ol00?l8ooooo`Coo`00doooool001Kooooo00?o0000ooooooooool0JOooool4o`00
o`Oooooo1?oo003Eooooo`005_ooool00ol0003oooooooooo`1Xooooo`Co003o1oooool4ool00=Ko
oooo000Fooooo`03o`000?oooooooooo06Oooooo0ol00?l8ooooo`?oo`00f?ooool001Kooooo00?o
0000ooooooooool0IOooool4o`00o`Oooooo1?oo003Iooooo`005_ooool00ol0003oooooooooo`1T
ooooo`Co003o1oooool4ool00=[ooooo000Fooooo`03o`000?oooooooooo06?ooooo0ol00?l7oooo
o`Coo`00g?ooool001Kooooo00?o0000ooooooooool0H_ooool3o`00o`Oooooo1?oo003Mooooo`00
5_ooool00ol0003oooooooooo`1Pooooo`Co003o1oooool3ool00=oooooo000Fooooo`03o`000?oo
oooooooo05oooooo1?l00?l6ooooo`Coo`00h?ooool001Kooooo00?o0000ooooooooool0G_ooool3
o`00o`Oooooo1?oo003Qooooo`005_ooool00ol0003oooooooooo`1Looooo`Co003o1_ooool4ool0
0>?ooooo000Fooooo`03o`000?oooooooooo05_ooooo1?l00?l5ooooo`Goo`00i?ooool001Kooooo
0_l0001Jooooo`Co003o1_ooool4ool00>Kooooo000Fooooo`03o`000?oooooooooo05Sooooo1?l0
0?l5ooooo`Coo`00j?ooool001Kooooo00?o0000ooooooooool0E_ooool4o`00o`Gooooo1Ooo003Y
ooooo`005_ooool00ol0003oooooooooo`1Dooooo`Go003o1Oooool4ool00>_ooooo000Fooooo`03
o`000?oooooooooo05?ooooo1?l00?l5ooooo`Coo`00kOooool001Kooooo00?o0000ooooooooool0
DOooool4o`00o`Gooooo1Ooo003^ooooo`005_ooool00ol0003oooooooooo`1@ooooo`Co003o1Ooo
ool4ool00?3ooooo000Fooooo`03o`000?oooooooooo04kooooo1?l00?l5ooooo`Coo`00l_ooool0
01Kooooo00?o0000ooooooooool0C?ooool5o`00o`Cooooo1Ooo003cooooo`005_ooool00ol0003o
ooooooooo`1;ooooo`Co003o1?ooool5ool00?Gooooo000Fooooo`03o`000?oooooooooo04Wooooo
1?l00?l5ooooo`Coo`00moooool001Kooooo00?o0000ooooooooool0Aoooool5o`00o`Cooooo1?oo
003iooooo`005_ooool00ol0003oooooooooo`15ooooo`Go003o1?ooool5ool00?[ooooo000Foooo
o`03o`000?oooooooooo04Cooooo1?l00?l3ooooo`Koo`00o?ooool001Kooooo00?o0000oooooooo
ool0@_ooool4o`00o`?ooooo1_oo003nooooo`005_ooool00ol0003oooooooooo`10ooooo`Go003o
0_ooool5ool00?oooooo0_ooool001Kooooo0_l0000nooooo`Ko003o00?oooooool00?oo00001?oo
003oooooo`Cooooo000Fooooo`03o`000?oooooooooo03_ooooo1_l00?l00oooooooo`00ool00004
ool00?oooooo1_ooool001Kooooo00?o0000ooooooooool0>Oooool5o`00o`;ooooo1Ooo003ooooo
o`Wooooo000Fooooo`03o`000?oooooooooo03Kooooo1_l00?l00oooooooo`00ool00004ool00?oo
oooo2oooool001Kooooo00?o0000ooooooooool0=?ooool6o`00o`Ooo`00ooooool=ooooo`005_oo
ool00ol0003oooooooooo`0booooo`Go003o1ooo003ooooooa3ooooo000Fooooo`03o`000?oooooo
oooo02oooooo1Ol00?l7ool00?oooooo4oooool001Kooooo00?o0000ooooooooool0;?ooool6o`00
o`Koo`00oooooolFooooo`005_ooool00ol0003oooooooooo`0Yooooo`Ko003o1_oo003ooooooaWo
oooo000Fooooo`03o`000?oooooooooo02Kooooo1_l00?l7ool00?oooooo6oooool001Kooooo00?o
0000ooooooooool08oooool6o`00o`Ooo`00oooooolNooooo`005_ooool00ol0003oooooooooo`0P
ooooo`Ko003o1ooo003oooooob7ooooo000Fooooo`03o`000?oooooooooo01gooooo1Ol00?l8ool0
0?oooooo9?ooool001Kooooo00?o0000ooooooooool06_ooool00ol00?ooo`00ool0000:ool00?oo
oooo9oooool000gooooo0ol00006ooooo`03o`000?oooooooooo01Cooooo0_l00?l=ool00?oooooo
:oooool000kooooo00?o0000ooooooooool01Oooool00ol0003oooooooooo`0?ooooo`?o003o2_oo
003ooooooc;ooooo000>ooooo`03o`000?oooooooooo00Gooooo00?o0000ooooooooool01Oooool3
o`00o`ooo`00oooooolgooooo`003_ooool00ol0003oooooooooo`04oooooaOoo`00oooooolkoooo
o`003_ooool00ol0003oooooooooo`04ooooo`goo`00oooooom5ooooo`003Oooool2o`0000Oooooo
00?o0000ooooooooool0oooooom>ooooo`003_ooool00ol0003oooooooooo`05ooooo`03o`000?oo
oooooooo0?ooooooC_ooool001Kooooo00?o0000ooooooooool0oooooom>ooooo`005_ooool00ol0
003oooooooooo`3oooooodkooooo000Fooooo`03o`000?oooooooooo0?ooooooC_ooool001Kooooo
00?o0000ooooooooool0oooooom>ooooo`005_ooool00ol0003oooooooooo`3oooooodkooooo003o
ooooofOooooo003oooooofOooooo003oooooofOooooo003oooooofOooooo0000\
\>"],
  ImageRangeCache->{{{0, 357.75}, {357.75, 0}} -> {-0.0681302, -0.0543801, \
0.00305558, 0.00305558}}],

Cell[BoxData[
    FormBox[
      TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
        False,
        Editable->False], TraditionalForm]], "Output"]
}, Open  ]],

Cell["\<\

To implement the transformation it is necessary to know:
a. the primitive  G of the \"enclosing\" function g
b. the inverse of the primitive Gi
This is what is obtained in the following:\
\>", "Text",
  FontSize->16],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(g[x_] = 1 - x^2;\)\), "\[IndentingNewLine]", 
    \(\(G[x_] = Integrate[g[z], {z, 0, x}];\)\), "\[IndentingNewLine]", 
    \(sub = \(\(Solve[rho \[Equal] G[x], x]\)[\([3]\)]\)[\([1]\)] // 
        Simplify\), "\n", 
    \(Gi[rho_] = x /. sub\), "\[IndentingNewLine]", 
    \(rhomin = G[0]\), "\[IndentingNewLine]", 
    \(rhomax = G[1]\)}], "Input"],

Cell[BoxData[
    \(TraditionalForm\`x \[Rule] \(\[ImaginaryI]\ \((2\ \((\[ImaginaryI] + \
\@3)\) - \@2\%3\ \((\(-\[ImaginaryI]\) + \@3)\)\ \((\@\(9\ rho\^2 - 4\) - 3\ \
rho)\)\^\(2/3\))\)\)\/\(2\ 2\^\(2/3\)\ \@\(\@\(9\ rho\^2 - 4\) - 3\ \
rho\)\%3\)\)], "Output"],

Cell[BoxData[
    \(TraditionalForm\`\(\[ImaginaryI]\ \((2\ \((\[ImaginaryI] + \@3)\) - \@2\
\%3\ \((\(-\[ImaginaryI]\) + \@3)\)\ \((\@\(9\ rho\^2 - 4\) - 3\ \
rho)\)\^\(2/3\))\)\)\/\(2\ 2\^\(2/3\)\ \@\(\@\(9\ rho\^2 - 4\) - 3\ \
rho\)\%3\)\)], "Output"],

Cell[BoxData[
    \(TraditionalForm\`0\)], "Output"],

Cell[BoxData[
    \(TraditionalForm\`2\/3\)], "Output"]
}, Closed]],

Cell[TextData[StyleBox["The new function to integrate is f/g[ro]:",
  FontSize->16]], "Text"],

Cell[BoxData[
    \(\(f[x_] = Cos[Pi/2\ x]/\((1 - x^2)\)\ ;\)\)], "Input"],

Cell[BoxData[
    \(\(MyInte1[f_, nev_] := 
        Module[{var, xi, sum}, \[IndentingNewLine]sum = 
            0; \[IndentingNewLine]var = 0; \[IndentingNewLine]delta = 
            rhomax - rhomin; \[IndentingNewLine]Do[
            rho = rhomin + delta*Random[]; \[IndentingNewLine]xi = 
              Re[Gi[rho]]; \[IndentingNewLine]sum = 
              sum + f[xi]\ ; \[IndentingNewLine]var = var + f[xi]^2\ , {i, 1, 
              nev}]; \[IndentingNewLine]sum = 
            sum/nev\ \ delta; \[IndentingNewLine]var = 
            var/nev\ delta^2; \[IndentingNewLine]sig = 
            Sqrt[var - sum^2]; \[IndentingNewLine]Return[{sum, 
              sig}]];\)\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\({res, sig} = MyInte1[f\ , 10000];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<MC result :\>", res, \ "\< +- \>", sig, "\</Sqrt[\>", 
        events, "\<]\>"];\)\)}], "Input"],

Cell[BoxData[
    FormBox[
      InterpretationBox[\("MC result :"\[InvisibleSpace]0.6368129794154503`\
\[InvisibleSpace]" +- \
"\[InvisibleSpace]0.031136105543578044`\[InvisibleSpace]"/Sqrt["\
\[InvisibleSpace]events\[InvisibleSpace]"]"\),
        SequenceForm[ 
        "MC result :", 0.63681297941545034, " +- ", 0.031136105543578044, 
          "/Sqrt[", events, "]"],
        Editable->False], TraditionalForm]], "Print"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[StyleBox["Von Neumann's  rejection method  : plain vanilla",
  FontSize->16]], "Section"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(<< Graphics`Colors`;\)\), "\[IndentingNewLine]", 
    \(\(ob1 = 
        Plot[{Cos[Pi/2\ x], 1}, {x, 0, 1}, \ 
          PlotStyle \[Rule] {{Blue, Thickness[0.007]}, {Red, 
                Thickness[0.007]}}];\)\), "\[IndentingNewLine]", 
    \(\(ob2 = 
        Graphics[{Thickness[0.007], Red, 
            Line[{{1, 0}, {1, 1}}]}];\)\), "\[IndentingNewLine]", 
    \(Show[ob1, ob2, AspectRatio \[Rule] 1]\)}], "Input"],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: 1 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.952381 0.0238095 0.952381 [
[.21429 .01131 -9 -9 ]
[.21429 .01131 9 0 ]
[.40476 .01131 -9 -9 ]
[.40476 .01131 9 0 ]
[.59524 .01131 -9 -9 ]
[.59524 .01131 9 0 ]
[.78571 .01131 -9 -9 ]
[.78571 .01131 9 0 ]
[.97619 .01131 -3 -9 ]
[.97619 .01131 3 0 ]
[.01131 .21429 -18 -4.5 ]
[.01131 .21429 0 4.5 ]
[.01131 .40476 -18 -4.5 ]
[.01131 .40476 0 4.5 ]
[.01131 .59524 -18 -4.5 ]
[.01131 .59524 0 4.5 ]
[.01131 .78571 -18 -4.5 ]
[.01131 .78571 0 4.5 ]
[.01131 .97619 -6 -4.5 ]
[.01131 .97619 0 4.5 ]
[ 0 0 0 0 ]
[ 1 1 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.21429 .02381 m
.21429 .03006 L
s
[(0.2)] .21429 .01131 0 1 Mshowa
.40476 .02381 m
.40476 .03006 L
s
[(0.4)] .40476 .01131 0 1 Mshowa
.59524 .02381 m
.59524 .03006 L
s
[(0.6)] .59524 .01131 0 1 Mshowa
.78571 .02381 m
.78571 .03006 L
s
[(0.8)] .78571 .01131 0 1 Mshowa
.97619 .02381 m
.97619 .03006 L
s
[(1)] .97619 .01131 0 1 Mshowa
.125 Mabswid
.07143 .02381 m
.07143 .02756 L
s
.11905 .02381 m
.11905 .02756 L
s
.16667 .02381 m
.16667 .02756 L
s
.2619 .02381 m
.2619 .02756 L
s
.30952 .02381 m
.30952 .02756 L
s
.35714 .02381 m
.35714 .02756 L
s
.45238 .02381 m
.45238 .02756 L
s
.5 .02381 m
.5 .02756 L
s
.54762 .02381 m
.54762 .02756 L
s
.64286 .02381 m
.64286 .02756 L
s
.69048 .02381 m
.69048 .02756 L
s
.7381 .02381 m
.7381 .02756 L
s
.83333 .02381 m
.83333 .02756 L
s
.88095 .02381 m
.88095 .02756 L
s
.92857 .02381 m
.92857 .02756 L
s
.25 Mabswid
0 .02381 m
1 .02381 L
s
.02381 .21429 m
.03006 .21429 L
s
[(0.2)] .01131 .21429 1 0 Mshowa
.02381 .40476 m
.03006 .40476 L
s
[(0.4)] .01131 .40476 1 0 Mshowa
.02381 .59524 m
.03006 .59524 L
s
[(0.6)] .01131 .59524 1 0 Mshowa
.02381 .78571 m
.03006 .78571 L
s
[(0.8)] .01131 .78571 1 0 Mshowa
.02381 .97619 m
.03006 .97619 L
s
[(1)] .01131 .97619 1 0 Mshowa
.125 Mabswid
.02381 .07143 m
.02756 .07143 L
s
.02381 .11905 m
.02756 .11905 L
s
.02381 .16667 m
.02756 .16667 L
s
.02381 .2619 m
.02756 .2619 L
s
.02381 .30952 m
.02756 .30952 L
s
.02381 .35714 m
.02756 .35714 L
s
.02381 .45238 m
.02756 .45238 L
s
.02381 .5 m
.02756 .5 L
s
.02381 .54762 m
.02756 .54762 L
s
.02381 .64286 m
.02756 .64286 L
s
.02381 .69048 m
.02756 .69048 L
s
.02381 .7381 m
.02756 .7381 L
s
.02381 .83333 m
.02756 .83333 L
s
.02381 .88095 m
.02756 .88095 L
s
.02381 .92857 m
.02756 .92857 L
s
.25 Mabswid
.02381 0 m
.02381 1 L
s
0 0 m
1 0 L
1 1 L
0 1 L
closepath
clip
newpath
0 0 1 r
.007 w
.02381 .97619 m
.02499 .97619 L
.02605 .97618 L
.02729 .97617 L
.02846 .97616 L
.03053 .97613 L
.03279 .97609 L
.03527 .97602 L
.0379 .97593 L
.04262 .97573 L
.04749 .97546 L
.05205 .97516 L
.06244 .97426 L
.07305 .97305 L
.08274 .97169 L
.10458 .96775 L
.12357 .96333 L
.14429 .95745 L
.18493 .94276 L
.22406 .92471 L
.26565 .90143 L
.30571 .87509 L
.34426 .84623 L
.38527 .8119 L
.42475 .77543 L
.46273 .73735 L
.50315 .69374 L
.54206 .64895 L
.58342 .59852 L
.62326 .5474 L
.66159 .4961 L
.70238 .43944 L
.74164 .38312 L
.77939 .32754 L
.8196 .26706 L
.85828 .20785 L
.89942 .14407 L
.93905 .08212 L
.97619 .02381 L
s
1 0 0 r
.02381 .97619 m
.06244 .97619 L
.10458 .97619 L
.14415 .97619 L
.18221 .97619 L
.22272 .97619 L
.26171 .97619 L
.30316 .97619 L
.34309 .97619 L
.3815 .97619 L
.42237 .97619 L
.46172 .97619 L
.49955 .97619 L
.53984 .97619 L
.57861 .97619 L
.61984 .97619 L
.65954 .97619 L
.69774 .97619 L
.73838 .97619 L
.77751 .97619 L
.81909 .97619 L
.85916 .97619 L
.89771 .97619 L
.93871 .97619 L
.97619 .97619 L
s
.97619 .02381 m
.97619 .97619 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{288, 288},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40004P000182000`400?l00000o`00003ooooooolQ
ooooo`00oooooolQooooo`00oooooolQooooo`00oooooolQooooo`00oooooolQooooo`00oooooolQ
ooooo`00@_ooool2o`0000Cooooo00Co0000oooooooooooooooo1Ol0000Uooooo`;o00001?ooool0
0ol0003oooooooooo`03ooooo`?o00009?ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3
o`0002Kooooo0_l00004ooooo`03o`000?oooooooooo00;ooooo0ol0000[ooooo`?o00001oooool0
047ooooo00Co0000oooooooooooo00002?ooool01?l0003oooooooooool0000Tooooo`04o`000?oo
ooooooooo`0000[ooooo00?o0000ooooooooool08_ooool01?l0003oooooooooool00007ooooo`05
o`000?ooooooooooooooool000009?ooool01?l0003oooooooooool00007ooooo`05o`000?oooooo
ooooooooool00000:oooool00ol0003oooooooooo`06ooooo`00@Oooool01?l0003oooooooooool0
0009ooooo`03o`000?oooooooooo02Cooooo00Co0000oooooooooooo00001oooool5o`0002?ooooo
00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000002Cooooo00Co0000oooo
oooooooo00001oooool01Ol0003ooooooooooooooooo000002_ooooo00?o0000ooooooooool01_oo
ool0047ooooo00Co0000oooooooooooo00002_ooool00ol0003oooooooooo`0Sooooo`04o`000?oo
ooooooooo`0000Oooooo00Co0000oooooooooooo00009?ooool01?l0003oooooooooool00007oooo
o`Co00009Oooool01?l0003oooooooooool00008ooooo`?o0000;?ooool00ol0003oooooooooo`06
ooooo`00@Oooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool000009?oo
ool01?l0003oooooooooool00008ooooo`03o`000?oooooo000002Cooooo00Co0000oooooooooooo
00001oooool00ol0003oooooooooo`0Vooooo`04o`000?ooooooooooo`0000Oooooo00Go0000oooo
ooooooooooooo`00000[ooooo`03o`000?oooooooooo00Kooooo000Eooooo`03o`000?oooooooooo
02Wooooo00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000002Cooooo00Co
0000oooooooooooo00002Oooool2o`0002Cooooo00Co0000oooooooooooo00002?ooool00ol0003o
ooooooooo`0Uooooo`04o`000?ooooooooooo`0000Oooooo00Go0000ooooooooooooooooo`00000Z
ooooo`;o00002?ooool001Gooooo00?o0000ooooooooool0:_ooool2o`0000Wooooo0ol0000Voooo
o`;o00002oooool00ol0003oooooooooo`0Sooooo`;o00002_ooool2o`0002Kooooo0_l00009oooo
o`?o0000;?ooool00ol0003oooooooooo`06ooooo`005Oooool00ol0003oooooooooo`3oooooo`Wo
oooo000Eooooo`03o`000?oooooooooo0?oooooo2Oooool001Gooooo00?o0000ooooooooool0oooo
ool9ooooo`005Oooool00ol0003oooooooooo`3oooooo`Wooooo000>oooooooo00002ol000000ooo
003o0000o`000005o`0000005Oooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[o
oooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[o
oooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[o
oooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`09ooooo`03o`000?oooooooooo00[o
oooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[o
oooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[o
oooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[o
oooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0<Oooool00ol0003ooooo
ooooo`0aooooo`03o`000?oooooooooo033ooooo00?o0000ooooooooool0<Oooool00ol0003ooooo
ooooo`0`ooooo`03o`00oooo003ooooo00Kooooo000Eooooo`03o`000?oooooooooo0?kooooo00?o
003ooooooooo00001oooool001Gooooo00?o0000ooooooooool0o_ooool00ol00?ooooooool00007
ooooo`005Oooool00ol0003oooooooooo`3mooooo`04o`00ooooooooooooool000Oooooo000Eoooo
o`03o`000?oooooooooo0?gooooo00Co003oooooooooooooo`001oooool001Gooooo00?o0000oooo
ooooool0o?ooool01Ol00?ooooooooooooooooooo`0000Oooooo000Eooooo`03o`000?oooooooooo
0?_ooooo00?o003oooooooooool00_ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003o
ooooooooo`3kooooo`03o`00oooooooooooo00;ooooo00?oo`00ooooooooool01Oooool001Gooooo
00?o0000ooooooooool0n_ooool00ol00?ooooooooooo`03ooooo`03ool00?oooooooooo00Gooooo
000Eooooo`03o`000?oooooooooo0?Wooooo00?o003oooooooooool01?ooool00ooo003ooooooooo
o`05ooooo`005Oooool00ol0003oooooooooo`3iooooo`03o`00oooooooooooo00Cooooo00?oo`00
ooooooooool01Oooool001Gooooo0_l0003iooooo`03o`00oooooooooooo00Gooooo00?oo`00oooo
ooooool01Oooool001Gooooo00?o0000ooooooooool0n?ooool00ol00?ooooooooooo`05ooooo`03
ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0?Oooooo00?o003oooooooooool0
1_ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`3fooooo`03o`00oooo
oooooooo00Oooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0m_ooool0
0ol00?ooooooooooo`07ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo
0?Gooooo00?o003oooooooooool02?ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003o
ooooooooo`3dooooo`03o`00oooooooooooo00Wooooo00?oo`00ooooooooool01Oooool001Gooooo
00?o0000ooooooooool0m?ooool00ol00?ooooooooooo`09ooooo`03ool00?oooooooooo00Gooooo
000Eooooo`03o`000?oooooooooo0??ooooo00?o003oooooooooool02_ooool00ooo003ooooooooo
o`05ooooo`005Oooool00ol0003oooooooooo`3booooo`03o`00oooooooooooo00_ooooo00?oo`00
ooooooooool01Oooool001Gooooo00?o0000ooooooooool0l_ooool00ol00?ooooooooooo`0;oooo
o`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0?7ooooo00?o003ooooooooo
ool03?ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`3`ooooo`03o`00
oooooooooooo00gooooo00?oo`00ooooooooool01Oooool001Gooooo0_l0003aooooo`03o`00oooo
oooooooo00gooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0koooool0
0ol00?ooooooooooo`0>ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo
0>oooooo00?o003oooooooooool03_ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003o
ooooooooo`3^ooooo`03o`00oooooooooooo00oooooo00?oo`00ooooooooool01Oooool001Gooooo
00?o0000ooooooooool0kOooool00ol00?ooooooooooo`0@ooooo`03ool00?oooooooooo00Gooooo
000Eooooo`03o`000?oooooooooo0>gooooo00?o003oooooooooool04?ooool00ooo003ooooooooo
o`05ooooo`005Oooool00ol0003oooooooooo`3/ooooo`03o`00oooooooooooo017ooooo00?oo`00
ooooooooool01Oooool001Gooooo00?o0000ooooooooool0joooool00ol00?ooooooooooo`0Boooo
o`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0>_ooooo00?o003ooooooooo
ool04_ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`3Zooooo`03o`00
oooooooooooo01?ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0jOoo
ool00ol00?ooooooooooo`0Dooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooo
oooo0>Wooooo00?o003oooooooooool05?ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0
003oooooooooo`3Xooooo`03o`00oooooooooooo01Gooooo00?oo`00ooooooooool01Oooool001Go
oooo0_l0003Xooooo`03o`00oooooooooooo01Kooooo00?oo`00ooooooooool01Oooool001Gooooo
00?o0000ooooooooool0ioooool00ol00?ooooooooooo`0Fooooo`03ool00?oooooooooo00Gooooo
000Eooooo`03o`000?oooooooooo0>Kooooo00?o003oooooooooool05oooool00ooo003ooooooooo
o`05ooooo`005Oooool00ol0003oooooooooo`3Uooooo`03o`00oooooooooooo01Sooooo00?oo`00
ooooooooool01Oooool001Gooooo00?o0000ooooooooool0iOooool00ol00?ooooooooooo`0Hoooo
o`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0>Cooooo00?o003ooooooooo
ool06Oooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`3Tooooo`03o`00
oooooooooooo01Wooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0hooo
ool00ol00?ooooooooooo`0Jooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooo
oooo0>;ooooo00?o003oooooooooool06oooool00ooo003oooooooooo`05ooooo`005Oooool00ol0
003oooooooooo`3Rooooo`03o`00oooooooooooo01_ooooo00?oo`00ooooooooool01Oooool001Go
oooo00?o0000ooooooooool0hOooool00ol00?ooooooooooo`0Looooo`03ool00?oooooooooo00Go
oooo0002ooooo`;o00001?ooool01?l0003oooooooooooooool5o`0000Cooooo00?o0000oooooooo
ool0h?ooool00ol00?ooooooooooo`0Mooooo`03ool00?oooooooooo00Gooooo00001Ooooooo0000
oooooooooooo000000Sooooo00Co0000oooooooooooo00001?ooool00ol0003oooooooooo`3Poooo
o`03o`00oooooooooooo01gooooo00?oo`00ooooooooool01Oooool00005ooooool0003ooooooooo
ool000002Oooool00ol0003oooooooooo`04ooooo`?o0000goooool00ol00?ooooooooooo`0Noooo
o`03ool00?oooooooooo00Gooooo00001Ooooooo0000oooooooooooo000000[ooooo00?o0000oooo
ooooool00oooool00ol0003oooooooooo`3Nooooo`03o`00oooooooooooo01oooooo00?oo`00oooo
ooooool01Oooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo
000000Cooooo00?o0000ooooooooool0g_ooool00ol00?ooooooooooo`0Oooooo`03ool00?oooooo
oooo00Gooooo00001Ooooooo0000oooooooooooo000000Oooooo00Go0000ooooooooooooooooo`00
0004ooooo`03o`000?oooooooooo0=gooooo00?o003oooooooooool08?ooool00ooo003ooooooooo
o`05ooooo`000_ooool2o`0000Wooooo0ol00005ooooo`03o`000?oooooooooo0=cooooo00?o003o
ooooooooool08Oooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`3Loooo
o`03o`00oooooooooooo027ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooooooo
ool0foooool00ol00?ooooooooooo`0Rooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`00
0?oooooooooo0=[ooooo00?o003oooooooooool08oooool00ooo003oooooooooo`05ooooo`005Ooo
ool00ol0003oooooooooo`3Jooooo`03o`00oooooooooooo02?ooooo00?oo`00ooooooooool01Ooo
ool001Gooooo00?o0000ooooooooool0fOooool00ol00?ooooooooooo`0Tooooo`03ool00?oooooo
oooo00Gooooo000Eooooo`03o`000?oooooooooo0=Wooooo00?o003oooooooooool09?ooool00ooo
003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`3Hooooo`03o`00oooooooooooo02Go
oooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0eoooool00ol00?oooooo
ooooo`0Vooooo`03ool00?oooooooooo00Gooooo000Eooooo`;o0000f?ooool00ol00?oooooooooo
o`0Vooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0=Kooooo00?o003o
ooooooooool09oooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`3Eoooo
o`03o`00oooooooooooo02Sooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooooooo
ool0eOooool00ol00?ooooooooooo`0Xooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`00
0?oooooooooo0=Cooooo00?o003oooooooooool0:Oooool00ooo003oooooooooo`05ooooo`005Ooo
ool00ol0003oooooooooo`3Cooooo`03o`00oooooooooooo02[ooooo00?oo`00ooooooooool01Ooo
ool001Gooooo00?o0000ooooooooool0doooool00ol00?ooooooooooo`0Zooooo`03ool00?oooooo
oooo00Gooooo000Eooooo`03o`000?oooooooooo0=;ooooo00?o003oooooooooool0:oooool00ooo
003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`3Aooooo`03o`00oooooooooooo02co
oooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0dOooool00ol00?oooooo
ooooo`0/ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0=3ooooo00?o
003oooooooooool0;Oooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`3?
ooooo`03o`00oooooooooooo02kooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooo
ooooool0c_ooool00ol00?ooooooooooo`0_ooooo`03ool00?oooooooooo00Gooooo000Eooooo`;o
0000coooool00ol00?ooooooooooo`0_ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`00
0?oooooooooo0<gooooo00?o003oooooooooool0<?ooool00ooo003oooooooooo`05ooooo`005Ooo
ool00ol0003oooooooooo`3<ooooo`03o`00oooooooooooo037ooooo00?oo`00ooooooooool01Ooo
ool001Gooooo00?o0000ooooooooool0c?ooool00ol00?ooooooooooo`0aooooo`03ool00?oooooo
oooo00Gooooo000Eooooo`03o`000?oooooooooo0<_ooooo00?o003oooooooooool0<_ooool00ooo
003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`3:ooooo`03o`00oooooooooooo03?o
oooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0b_ooool00ol00?oooooo
ooooo`0cooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0<Wooooo00?o
003oooooooooool0=?ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`38
ooooo`03o`00oooooooooooo03Gooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooo
ooooool0b?ooool00ol00?ooooooooooo`0eooooo`03ool00?oooooooooo00Gooooo000Eooooo`03
o`000?oooooooooo0<Oooooo00?o003oooooooooool0=_ooool00ooo003oooooooooo`05ooooo`00
5Oooool00ol0003oooooooooo`36ooooo`03o`00oooooooooooo03Oooooo00?oo`00ooooooooool0
1Oooool001Gooooo00?o0000ooooooooool0a_ooool00ol00?ooooooooooo`0gooooo`03ool00?oo
oooooooo00Gooooo000Eooooo`;o0000a_ooool00ol00?ooooooooooo`0hooooo`03ool00?oooooo
oooo00Gooooo000Eooooo`03o`000?oooooooooo0<Cooooo00?o003oooooooooool0>Oooool00ooo
003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`34ooooo`03o`00oooooooooooo03Wo
oooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0`oooool00ol00?oooooo
ooooo`0jooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0<;ooooo00?o
003oooooooooool0>oooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`32
ooooo`03o`00oooooooooooo03_ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooo
ooooool0`Oooool00ol00?ooooooooooo`0looooo`03ool00?oooooooooo00Gooooo000Eooooo`03
o`000?oooooooooo0<3ooooo00?o003oooooooooool0?Oooool00ooo003oooooooooo`05ooooo`00
5Oooool00ol0003oooooooooo`30ooooo`03o`00oooooooooooo03gooooo00?oo`00ooooooooool0
1Oooool001Gooooo00?o0000ooooooooool0_oooool00ol00?ooooooooooo`0nooooo`03ool00?oo
oooooooo00Gooooo000Eooooo`03o`000?oooooooooo0;kooooo00?o003oooooooooool0?oooool0
0ooo003oooooooooo`05ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00oooool3o`00
00Cooooo00?o0000ooooooooool0__ooool00ol00?ooooooooooo`0oooooo`03ool00?oooooooooo
00Gooooo00001Ooooooo0000oooooooooooo000000[ooooo00?o0000ooooooooool00oooool00ol0
003oooooooooo`2mooooo`03o`00oooooooooooo043ooooo00?oo`00ooooooooool01Oooool00005
ooooool0003oooooooooool000001oooool5o`0000Cooooo0ol0002looooo`03o`00oooooooooooo
047ooooo00?oo`00ooooooooool01Oooool00005ooooool0003oooooooooool000001oooool01?l0
003oooooooooool00005ooooo`03o`000?oooooooooo0;cooooo00?o003oooooooooool0@Oooool0
0ooo003oooooooooo`05ooooo`0000Goooooo`000?ooooooooooo`000008ooooo`03o`000?oooooo
000000Gooooo00?o0000ooooooooool0^oooool00ol00?ooooooooooo`12ooooo`03ool00?oooooo
oooo00Gooooo00001Ooooooo0000oooooooooooo000000Wooooo0_l00005ooooo`03o`000?oooooo
oooo0;[ooooo00?o003oooooooooool0@oooool00ooo003oooooooooo`05ooooo`000_ooool2o`00
00_ooooo00?o0000ooooooooool00oooool00ol0003oooooooooo`2jooooo`03o`00oooooooooooo
04?ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0^Oooool00ol00?oo
ooooooooo`14ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0;Sooooo
00?o003oooooooooool0AOooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003ooooooooo
o`2hooooo`03o`00oooooooooooo04Gooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000
ooooooooool0]oooool00ol00?ooooooooooo`16ooooo`03ool00?oooooooooo00Gooooo000Eoooo
o`03o`000?oooooooooo0;Kooooo00?o003oooooooooool0Aoooool00ooo003oooooooooo`05oooo
o`005Oooool00ol0003oooooooooo`2fooooo`03o`00oooooooooooo04Oooooo00?oo`00oooooooo
ool01Oooool001Gooooo00?o0000ooooooooool0]Oooool00ol00?ooooooooooo`18ooooo`03ool0
0?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0;Cooooo00?o003oooooooooool0BOoo
ool00ooo003oooooooooo`05ooooo`005Oooool2o`000;Cooooo00?o003oooooooooool0B_ooool0
0ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`2cooooo`03o`00oooooooooooo
04[ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0/_ooool00ol00?oo
ooooooooo`1;ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0;7ooooo
00?o003oooooooooool0C?ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003ooooooooo
o`2`ooooo`03o`00oooooooooooo04gooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000
ooooooooool0/?ooool00ol00?ooooooooooo`1=ooooo`03ool00?oooooooooo00Gooooo000Eoooo
o`03o`000?oooooooooo0:oooooo00?o003oooooooooool0C_ooool00ooo003oooooooooo`05oooo
o`005Oooool00ol0003oooooooooo`2^ooooo`03o`00oooooooooooo04oooooo00?oo`00oooooooo
ool01Oooool001Gooooo00?o0000ooooooooool0[Oooool00ol00?ooooooooooo`1@ooooo`03ool0
0?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0:gooooo00?o003oooooooooool0D?oo
ool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`2/ooooo`03o`00oooooooo
oooo057ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0Zoooool00ol0
0?ooooooooooo`1Booooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0:[o
oooo00?o003oooooooooool0Doooool00ooo003oooooooooo`05ooooo`005Oooool2o`000:_ooooo
00?o003oooooooooool0Doooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003ooooooooo
o`2Yooooo`03o`00oooooooooooo05Cooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000
ooooooooool0Z?ooool00ol00?ooooooooooo`1Eooooo`03ool00?oooooooooo00Gooooo000Eoooo
o`03o`000?oooooooooo0:Oooooo00?o003oooooooooool0E_ooool00ooo003oooooooooo`05oooo
o`005Oooool00ol0003oooooooooo`2Wooooo`03o`00oooooooooooo05Kooooo00?oo`00oooooooo
ool01Oooool001Gooooo00?o0000ooooooooool0Y_ooool00ol00?ooooooooooo`1Gooooo`03ool0
0?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0:Gooooo00?o003oooooooooool0F?oo
ool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`2Uooooo`03o`00oooooooo
oooo05Sooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0Y?ooool00ol0
0?ooooooooooo`1Iooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo0:?o
oooo00?o003oooooooooool0F_ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003ooooo
ooooo`2Rooooo`03o`00oooooooooooo05_ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o
0000ooooooooool0X_ooool00ol00?ooooooooooo`1Kooooo`03ool00?oooooooooo00Gooooo000E
ooooo`03o`000?oooooooooo0:7ooooo00?o003oooooooooool0G?ooool00ooo003oooooooooo`05
ooooo`005Oooool2o`000:7ooooo00?o003oooooooooool0GOooool00ooo003oooooooooo`05oooo
o`005Oooool00ol0003oooooooooo`2Pooooo`03o`00oooooooooooo05gooooo00?oo`00oooooooo
ool01Oooool001Gooooo00?o0000ooooooooool0Woooool00ol00?ooooooooooo`1Nooooo`03ool0
0?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo09kooooo00?o003oooooooooool0Gooo
ool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`2Mooooo`03o`00oooooooo
oooo063ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0W?ooool00ol0
0?ooooooooooo`1Qooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo09co
oooo00?o003oooooooooool0HOooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003ooooo
ooooo`2Kooooo`03o`00oooooooooooo06;ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o
0000ooooooooool0V_ooool00ol00?ooooooooooo`1Sooooo`03ool00?oooooooooo00Gooooo000E
ooooo`03o`000?oooooooooo09Wooooo00?o003oooooooooool0I?ooool00ooo003oooooooooo`05
ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3o`0000Gooooo00?o0000oooo
ooooool0VOooool00ol00?ooooooooooo`1Tooooo`03ool00?oooooooooo00Gooooo00001Ooooooo
0000oooooooooooo000000Oooooo00Go0000ooooooooooooooooo`000004ooooo`03o`000?oooooo
oooo09Sooooo00?o003oooooooooool0IOooool00ooo003oooooooooo`05ooooo`0000Goooooo`00
0?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool000001?ooool00ol0003ooooooooo
o`2Gooooo`03o`00oooooooooooo06Kooooo00?oo`00ooooooooool01Oooool00005ooooool0003o
ooooooooool000001oooool4o`0000Gooooo0ol0002Fooooo`03o`00oooooooooooo06Oooooo00?o
o`00ooooooooool01Oooool00005ooooool0003oooooooooool000001oooool00ol0003ooooooooo
o`06ooooo`03o`000?oooooooooo09Gooooo00?o003oooooooooool0J?ooool00ooo003ooooooooo
o`05ooooo`0000Goooooo`000?ooooooooooo`000008ooooo`03o`000?oooooooooo00Gooooo00?o
0000ooooooooool0UOooool00ol00?ooooooooooo`1Xooooo`03ool00?oooooooooo00Gooooo0002
ooooo`;o00002_ooool2o`0000Gooooo00?o0000ooooooooool0U?ooool00ol00?ooooooooooo`1Y
ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo09?ooooo00?o003ooooo
ooooool0J_ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`2Booooo`03
o`00oooooooooooo06_ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0
TOooool00ol00?ooooooooooo`1/ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oo
oooooooo093ooooo00?o003oooooooooool0KOooool00ooo003oooooooooo`05ooooo`005Oooool0
0ol0003oooooooooo`2?ooooo`03o`00oooooooooooo06kooooo00?oo`00ooooooooool01Oooool0
01Gooooo00?o0000ooooooooool0Soooool00ol00?ooooooooooo`1^ooooo`03ool00?oooooooooo
00Gooooo000Eooooo`03o`000?oooooooooo08kooooo00?o003oooooooooool0Koooool00ooo003o
ooooooooo`05ooooo`005Oooool00ol0003oooooooooo`2=ooooo`03o`00oooooooooooo073ooooo
00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0S?ooool00ol00?oooooooooo
o`1aooooo`03ool00?oooooooooo00Gooooo000Eooooo`;o0000S?ooool00ol00?ooooooooooo`1b
ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo08[ooooo00?o003ooooo
ooooool0Loooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`2:ooooo`03
o`00oooooooooooo07?ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0
ROooool00ol00?ooooooooooo`1dooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oo
oooooooo08Sooooo00?o003oooooooooool0MOooool00ooo003oooooooooo`05ooooo`005Oooool0
0ol0003oooooooooo`27ooooo`03o`00oooooooooooo07Kooooo00?oo`00ooooooooool01Oooool0
01Gooooo00?o0000ooooooooool0Q_ooool00ol00?ooooooooooo`1gooooo`03ool00?oooooooooo
00Gooooo000Eooooo`03o`000?oooooooooo08Gooooo00?o003oooooooooool0N?ooool00ooo003o
ooooooooo`05ooooo`005Oooool00ol0003oooooooooo`24ooooo`03o`00oooooooooooo07Wooooo
00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0Q?ooool00ol00?oooooooooo
o`1iooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo08?ooooo00?o003o
ooooooooool0N_ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`22oooo
o`03o`00oooooooooooo07_ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooooooo
ool0POooool00ol00?ooooooooooo`1looooo`03ool00?oooooooooo00Gooooo000Eooooo`;o0000
POooool00ol00?ooooooooooo`1mooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oo
oooooooo07oooooo00?o003oooooooooool0O_ooool00ooo003oooooooooo`05ooooo`005Oooool0
0ol0003oooooooooo`1oooooo`03o`00oooooooooooo07kooooo00?oo`00ooooooooool01Oooool0
01Gooooo00?o0000ooooooooool0O_ooool00ol00?ooooooooooo`1oooooo`03ool00?oooooooooo
00Gooooo000Eooooo`03o`000?oooooooooo07gooooo00?o003oooooooooool0P?ooool00ooo003o
ooooooooo`05ooooo`005Oooool00ol0003oooooooooo`1looooo`03o`00oooooooooooo087ooooo
00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0Noooool00ol00?oooooooooo
o`22ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo07[ooooo00?o003o
ooooooooool0Poooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`1ioooo
o`03o`00oooooooooooo08Cooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooooooo
ool0N?ooool00ol00?ooooooooooo`25ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`00
0?oooooooooo07Oooooo00?o003oooooooooool0Q_ooool00ooo003oooooooooo`05ooooo`005Ooo
ool00ol0003oooooooooo`1fooooo`03o`00oooooooooooo08Oooooo00?oo`00ooooooooool01Ooo
ool001Gooooo00?o0000ooooooooool0MOooool00ol00?ooooooooooo`28ooooo`03ool00?oooooo
oooo00Gooooo000Eooooo`;o0000MOooool00ol00?ooooooooooo`29ooooo`03ool00?oooooooooo
00Gooooo000Eooooo`03o`000?oooooooooo07?ooooo00?o003oooooooooool0R_ooool00ooo003o
ooooooooo`05ooooo`005Oooool00ol0003oooooooooo`1booooo`03o`00oooooooooooo08_ooooo
00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0LOooool00ol00?oooooooooo
o`2<ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo073ooooo00?o003o
ooooooooool0SOooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`1_oooo
o`03o`00oooooooooooo08kooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooooooo
ool0K_ooool00ol00?ooooooooooo`2?ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`00
0?oooooooooo06gooooo00?o003oooooooooool0T?ooool00ooo003oooooooooo`05ooooo`005Ooo
ool00ol0003oooooooooo`1/ooooo`03o`00oooooooooooo097ooooo00?oo`00ooooooooool01Ooo
ool001Gooooo00?o0000ooooooooool0Joooool00ol00?ooooooooooo`2Booooo`03ool00?oooooo
oooo00Gooooo0002ooooo`;o00001?ooool00ol0003oooooooooo`02ooooo`?o00001Oooool00ol0
003oooooooooo`1Yooooo`;o003oUOooool00ooo003oooooooooo`05ooooo`0000Goooooo`000?oo
ooooooooo`000007ooooo`05o`000?ooooooooooooooool000001?ooool00ol0003oooooooooo`1X
ooooo`03o`00oooooooooooo09Gooooo00?oo`00ooooooooool01Oooool00005ooooool0003ooooo
ooooool000001oooool01Ol0003ooooooooooooooooo000000Cooooo00?o0000ooooooooool0Iooo
ool00ol00?ooooooooooo`2Fooooo`03ool00?oooooooooo00Gooooo00001Ooooooo0000oooooooo
oooo000000Sooooo0ol00005ooooo`?o0000I_ooool00ol00?ooooooooooo`2Gooooo`03ool00?oo
oooooooo00Gooooo00001Ooooooo0000oooooooooooo000000Oooooo00Go0000oooooooooooooooo
o`000004ooooo`03o`000?oooooooooo06Gooooo00?o003oooooooooool0V?ooool00ooo003ooooo
ooooo`05ooooo`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool0
00001?ooool00ol0003oooooooooo`1Tooooo`03o`00oooooooooooo09Wooooo00?oo`00oooooooo
ool01Oooool000;ooooo0_l00009ooooo`?o00001Oooool00ol0003oooooooooo`1Sooooo`03o`00
oooooooooooo09[ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0H_oo
ool00ol00?ooooooooooo`2Kooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooo
oooo067ooooo00?o003oooooooooool0W?ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0
003oooooooooo`1Pooooo`03o`00oooooooooooo09gooooo00?oo`00ooooooooool01Oooool001Go
oooo00?o0000ooooooooool0G_ooool2o`00oj3ooooo00?oo`00ooooooooool01Oooool001Gooooo
00?o0000ooooooooool0GOooool00ol00?ooooooooooo`2Pooooo`03ool00?oooooooooo00Gooooo
000Eooooo`03o`000?oooooooooo05cooooo00?o003oooooooooool0XOooool00ooo003ooooooooo
o`05ooooo`005Oooool00ol0003oooooooooo`1Kooooo`03o`00oooooooooooo0:;ooooo00?oo`00
ooooooooool01Oooool001Gooooo00?o0000ooooooooool0FOooool2o`00ojGooooo00?oo`00oooo
ooooool01Oooool001Gooooo00?o0000ooooooooool0F?ooool00ol00?ooooooooooo`2Uooooo`03
ool00?oooooooooo00Gooooo000Eooooo`;o0000F?ooool00ol00?ooooooooooo`2Vooooo`03ool0
0?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo05Kooooo00?o003oooooooooool0Yooo
ool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`1Eooooo`03o`00oooooooo
oooo0:Sooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0Doooool2o`00
oj_ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0D_ooool00ol00?oo
ooooooooo`2[ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo057ooooo
00?o003oooooooooool0[?ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003ooooooooo
o`1@ooooo`03o`00oooooooooooo0:gooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000
ooooooooool0C_ooool2o`00ok3ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooo
ooooool0COooool00ol00?ooooooooooo`2`ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03
o`000?oooooooooo04cooooo00?o003oooooooooool0/Oooool00ooo003oooooooooo`05ooooo`00
5Oooool00ol0003oooooooooo`1;ooooo`03o`00oooooooooooo0;;ooooo00?oo`00ooooooooool0
1Oooool001Gooooo00?o0000ooooooooool0BOooool2o`00okGooooo00?oo`00ooooooooool01Ooo
ool001Gooooo00?o0000ooooooooool0B?ooool00ol00?ooooooooooo`2eooooo`03ool00?oooooo
oooo00Gooooo000Eooooo`;o0000Aoooool2o`00okSooooo00?oo`00ooooooooool01Oooool001Go
oooo00?o0000ooooooooool0A?ooool2o`00ok[ooooo00?oo`00ooooooooool01Oooool001Gooooo
00?o0000ooooooooool0@oooool00ol00?ooooooooooo`2jooooo`03ool00?oooooooooo00Gooooo
000Eooooo`03o`000?oooooooooo047ooooo0_l00?nmooooo`03ool00?oooooooooo00Gooooo000E
ooooo`03o`000?oooooooooo043ooooo00?o003oooooooooool0_Oooool00ooo003oooooooooo`05
ooooo`005Oooool00ol0003oooooooooo`0nooooo`;o003o`?ooool00ooo003oooooooooo`05oooo
o`005Oooool00ol0003oooooooooo`0looooo`;o003o`_ooool00ooo003oooooooooo`05ooooo`00
5Oooool00ol0003oooooooooo`0kooooo`03o`00oooooooooooo0<;ooooo00?oo`00ooooooooool0
1Oooool001Gooooo00?o0000ooooooooool0>Oooool2o`00olGooooo00?oo`00ooooooooool01Ooo
ool001Gooooo00?o0000ooooooooool0=oooool2o`00olOooooo00?oo`00ooooooooool01Oooool0
01Gooooo00?o0000ooooooooool0=_ooool00ol00?ooooooooooo`37ooooo`03ool00?oooooooooo
00Gooooo000Eooooo`03o`000?oooooooooo03Cooooo0_l00?o:ooooo`03ool00?oooooooooo00Go
oooo000Eooooo`03o`000?oooooooooo03;ooooo0_l00?o<ooooo`03ool00?oooooooooo00Gooooo
000Eooooo`;o0000<?ooool3o`00olkooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000
ooooooooool0;Oooool2o`00om7ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooo
ooooool0:_ooool3o`00om?ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooooooo
ool0:?ooool2o`00omKooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0
9Oooool3o`00omSooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool08_oo
ool3o`00om_ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool07oooool3
o`00omkooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool07Oooool2o`00
on7ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool06_ooool3o`00on?o
oooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool05_ooool4o`00onKooooo
00?oo`00ooooooooool01Oooool000gooooo0ol00005ooooo`03o`000?oooooooooo013ooooo1_l0
0?oZooooo`03ool00?oooooooooo00Gooooo000>ooooo`03o`000?oooooooooo00Cooooo00?o0000
ooooooooool03?ooool4o`00oo3ooooo00?oo`00ooooooooool01Oooool000kooooo00?o0000oooo
ooooool01?ooool00ol0003oooooo`00o`0<o`00ooCooooo00?oo`00ooooooooool01Oooool000ko
oooo00?o0000ooooooooool01?ooooooool000Goo`001oooool000kooooo00?o0000ooooooooool0
1?ooool00ol0003oooooooooo`3oooooo`Wooooo000=ooooo`;o00001_ooool00ol0003ooooooooo
o`3oooooo`Wooooo000>ooooo`03o`000?oooooooooo00Cooooo00?o0000ooooooooool0ooooool9
ooooo`005Oooool00ol0003oooooooooo`3oooooo`Wooooo000Eooooo`03o`000?oooooooooo0?oo
oooo2Oooool001Gooooo00?o0000ooooooooool0ooooool9ooooo`00oooooolQooooo`00oooooolQ
ooooo`00oooooolQooooo`00oooooolQooooo`00\
\>"],
  ImageRangeCache->{{{0, 287}, {287, 0}} -> {-0.0825959, -0.0652294, \
0.00385924, 0.00385924}}],

Cell[BoxData[
    FormBox[
      TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
        False,
        Editable->False], TraditionalForm]], "Output"]
}, Open  ]],

Cell[BoxData[{
    \(\(<< Graphics`Colors`;\)\), "\n", 
    \(\(ob1 = 
        Plot[{Cos[Pi/2\ x]}, {x, 0, 1}, \ 
          PlotStyle \[Rule] {{Blue, Thickness[0.007]}}];\)\), "\n", 
    \(\(ob2 = 
        Graphics[{Thickness[0.005], Red, 
            Line[{{1, 0}, {1, \(1/0.4\)/6*inte}}]}];\)\)}], "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(\(\n\)\(\(inte = 0.637;\)\[IndentingNewLine]
    \(ob3 = 
        Graphics[{Thickness[0.005], 
            Red, \[IndentingNewLine]Line[{{0, \(1/0.1\)/6*
                    inte}, {0.1, \(1/0.1\)/6*
                    inte}}], \[IndentingNewLine]Line[{{0.1, 
                  0}, {0.1, \(1/0.1\)/6*inte}}], 
            Line[{{0.1, \(1/0.11\)/6*inte}, {0.21, \(1/0.11\)/6*
                    inte}}], \[IndentingNewLine]Line[{{0.21, 
                  0}, {0.21, \(1/0.11\)/6*inte}}], 
            Line[{{0.21, \(1/0.11\)/6*inte}, {0.32, \(1/0.11\)/6*
                    inte}}], \[IndentingNewLine]Line[{{0.32, 
                  0}, {0.32, \(1/0.11\)/6*inte}}], 
            Line[{{0.32, \(1/0.13\)/6*inte}, {0.45, \(1/0.13\)/6*
                    inte}}], \[IndentingNewLine]Line[{{0.45, 
                  0}, {0.45, \(1/0.13\)/6*inte}}], 
            Line[{{0.45, \(1/0.15\)/6*inte}, {0.6, \(1/0.15\)/6*
                    inte}}], \[IndentingNewLine]Line[{{0.6, 
                  0}, {0.6, \(1/0.15\)/6*inte}}], 
            Line[{{0.6, \(1/0.4\)/6*inte}, {1, \(1/0.4\)/6*
                    inte}}]}];\)\[IndentingNewLine]
    Show[ob1, ob2, ob3]\[IndentingNewLine]\[IndentingNewLine]
    \)\)\)], "Input"],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.952381 0.0147151 0.554415 [
[.21429 .00222 -9 -9 ]
[.21429 .00222 9 0 ]
[.40476 .00222 -9 -9 ]
[.40476 .00222 9 0 ]
[.59524 .00222 -9 -9 ]
[.59524 .00222 9 0 ]
[.78571 .00222 -9 -9 ]
[.78571 .00222 9 0 ]
[.97619 .00222 -3 -9 ]
[.97619 .00222 3 0 ]
[.01131 .1256 -18 -4.5 ]
[.01131 .1256 0 4.5 ]
[.01131 .23648 -18 -4.5 ]
[.01131 .23648 0 4.5 ]
[.01131 .34736 -18 -4.5 ]
[.01131 .34736 0 4.5 ]
[.01131 .45825 -18 -4.5 ]
[.01131 .45825 0 4.5 ]
[.01131 .56913 -6 -4.5 ]
[.01131 .56913 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.21429 .01472 m
.21429 .02097 L
s
[(0.2)] .21429 .00222 0 1 Mshowa
.40476 .01472 m
.40476 .02097 L
s
[(0.4)] .40476 .00222 0 1 Mshowa
.59524 .01472 m
.59524 .02097 L
s
[(0.6)] .59524 .00222 0 1 Mshowa
.78571 .01472 m
.78571 .02097 L
s
[(0.8)] .78571 .00222 0 1 Mshowa
.97619 .01472 m
.97619 .02097 L
s
[(1)] .97619 .00222 0 1 Mshowa
.125 Mabswid
.07143 .01472 m
.07143 .01847 L
s
.11905 .01472 m
.11905 .01847 L
s
.16667 .01472 m
.16667 .01847 L
s
.2619 .01472 m
.2619 .01847 L
s
.30952 .01472 m
.30952 .01847 L
s
.35714 .01472 m
.35714 .01847 L
s
.45238 .01472 m
.45238 .01847 L
s
.5 .01472 m
.5 .01847 L
s
.54762 .01472 m
.54762 .01847 L
s
.64286 .01472 m
.64286 .01847 L
s
.69048 .01472 m
.69048 .01847 L
s
.7381 .01472 m
.7381 .01847 L
s
.83333 .01472 m
.83333 .01847 L
s
.88095 .01472 m
.88095 .01847 L
s
.92857 .01472 m
.92857 .01847 L
s
.25 Mabswid
0 .01472 m
1 .01472 L
s
.02381 .1256 m
.03006 .1256 L
s
[(0.2)] .01131 .1256 1 0 Mshowa
.02381 .23648 m
.03006 .23648 L
s
[(0.4)] .01131 .23648 1 0 Mshowa
.02381 .34736 m
.03006 .34736 L
s
[(0.6)] .01131 .34736 1 0 Mshowa
.02381 .45825 m
.03006 .45825 L
s
[(0.8)] .01131 .45825 1 0 Mshowa
.02381 .56913 m
.03006 .56913 L
s
[(1)] .01131 .56913 1 0 Mshowa
.125 Mabswid
.02381 .04244 m
.02756 .04244 L
s
.02381 .07016 m
.02756 .07016 L
s
.02381 .09788 m
.02756 .09788 L
s
.02381 .15332 m
.02756 .15332 L
s
.02381 .18104 m
.02756 .18104 L
s
.02381 .20876 m
.02756 .20876 L
s
.02381 .2642 m
.02756 .2642 L
s
.02381 .29192 m
.02756 .29192 L
s
.02381 .31964 m
.02756 .31964 L
s
.02381 .37508 m
.02756 .37508 L
s
.02381 .40281 m
.02756 .40281 L
s
.02381 .43053 m
.02756 .43053 L
s
.02381 .48597 m
.02756 .48597 L
s
.02381 .51369 m
.02756 .51369 L
s
.02381 .54141 m
.02756 .54141 L
s
.02381 .59685 m
.02756 .59685 L
s
.25 Mabswid
.02381 0 m
.02381 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
0 0 1 r
.007 w
.02381 .56913 m
.02499 .56913 L
.02605 .56913 L
.02729 .56912 L
.02846 .56911 L
.03053 .5691 L
.03279 .56907 L
.03527 .56903 L
.0379 .56898 L
.04262 .56886 L
.04749 .56871 L
.05205 .56853 L
.06244 .568 L
.07305 .5673 L
.08274 .56651 L
.10458 .56422 L
.12357 .56164 L
.14429 .55822 L
.18493 .54967 L
.22406 .53916 L
.26565 .52561 L
.30571 .51027 L
.34426 .49348 L
.38527 .47349 L
.42475 .45226 L
.46273 .43009 L
.50315 .4047 L
.54206 .37863 L
.58342 .34927 L
.62326 .31952 L
.66159 .28965 L
.70238 .25667 L
.74164 .22388 L
.77939 .19153 L
.8196 .15632 L
.85828 .12185 L
.89942 .08472 L
.93905 .04866 L
.97619 .01472 L
s
1 0 0 r
.005 w
.97619 .01472 m
.97619 .16187 L
s
.02381 .60332 m
.11905 .60332 L
s
.11905 .01472 m
.11905 .60332 L
s
.11905 .54981 m
.22381 .54981 L
s
.22381 .01472 m
.22381 .54981 L
s
.22381 .54981 m
.32857 .54981 L
s
.32857 .01472 m
.32857 .54981 L
s
.32857 .46749 m
.45238 .46749 L
s
.45238 .01472 m
.45238 .46749 L
s
.45238 .40712 m
.59524 .40712 L
s
.59524 .01472 m
.59524 .40712 L
s
.59524 .16187 m
.97619 .16187 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{372.188, 230},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40005d0000iR000`400?l00000o`00003ooooooome
ooooo`00oooooomeooooo`00Doooool2o`0000Cooooo00Co0000oooooooooooooooo1Ol0000eoooo
o`;o00001?ooool00ol0003oooooooooo`03ooooo`?o0000=Oooool2o`0000Cooooo00?o0000oooo
ooooool00_ooool3o`0003Kooooo0_l00004ooooo`03o`000?oooooooooo00;ooooo0ol0000koooo
o`?o00002Oooool005;ooooo00Co0000oooooooooooo00002?ooool01?l0003oooooooooool0000d
ooooo`04o`000?ooooooooooo`0000[ooooo00?o0000ooooooooool0<oooool01?l0003ooooooooo
ool00007ooooo`05o`000?ooooooooooooooool00000=?ooool01?l0003oooooooooool00007oooo
o`05o`000?ooooooooooooooool00000>oooool00ol0003oooooooooo`08ooooo`00D_ooool01?l0
003oooooooooool00009ooooo`03o`000?oooooooooo03Cooooo00Co0000oooooooooooo00001ooo
ool5o`0003Cooooo00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000003Co
oooo00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000003_ooooo00?o0000
ooooooooool02?ooool005;ooooo00Co0000oooooooooooo00002_ooool00ol0003oooooooooo`0c
ooooo`04o`000?ooooooooooo`0000Oooooo00Co0000oooooooooooo0000=Oooool01?l0003ooooo
ooooool00007ooooo`Co0000=Oooool01?l0003oooooooooool00008ooooo`?o0000??ooool00ol0
003oooooooooo`08ooooo`00D_ooool01?l0003oooooooooool00007ooooo`05o`000?oooooooooo
ooooool00000=?ooool01?l0003oooooooooool00008ooooo`03o`000?oooooo000003Gooooo00Co
0000oooooooooooo00001oooool00ol0003oooooooooo`0fooooo`04o`000?ooooooooooo`0000Oo
oooo00Go0000ooooooooooooooooo`00000kooooo`03o`000?oooooooooo00Sooooo001Booooo`04
o`000?ooooooooooo`0000Oooooo00Go0000ooooooooooooooooo`00000dooooo`04o`000?oooooo
ooooo`0000Wooooo0_l0000eooooo`04o`000?ooooooooooo`0000Sooooo00?o0000ooooooooool0
=Oooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool00000>_ooool2o`00
00[ooooo001Cooooo`;o00002Oooool3o`0003Kooooo0_l0000;ooooo`03o`000?oooooooooo03Co
oooo0_l0000:ooooo`;o0000=_ooool2o`0000Wooooo0ol0000looooo`03o`000?oooooooooo00So
oooo000Fooooo`03o`000?oooooooooo0?ooooooG?ooool001Kooooo00?o0000ooooooooool0oooo
oomLooooo`005_ooool00ol0003oooooooooo`3ooooooecooooo000Fooooo`03o`000?oooooooooo
0?ooooooG?ooool001Kooooo00?o0000ooooooooool0oooooomLooooo`003Oooool[o`000003ool0
0?l0003o000002;o000000?oo`00o`000?l000008ol000000ooo003o0000o`00000Yo`000003ool0
0?l0003o0000033o000000?oo`00o`000?l00000Pol00002o`00o`03ool00?l0003o000000Oo0000
000Fooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ooo003ooooooooo
o`0>ooooo`03o`000?oooooooooo00kooooo00Co0000ooooooooooooo`003Oooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00Cooooo00?oo`00ooooooooool01oooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?oo`00ooooooooool03_ooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?oo`00ooooooooool03_ooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ol0003ooooo
ooooo`0;ooooo`?o003o00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07ooo
ool00ooo003oooooooooo`0Oooooo`04o`000?ooooooooooool002Gooooo00?oo`00ooooooooool0
6?ooool00ol0003oooooooooo`0>ooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0
@Oooool00ol0003oooooooooo`0mooooo`?o003o00?oooooool00?ooool02?ooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo083ooooo0ol0
0?l2ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1oooooo`?o003o0oooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0O_ooool3o`00o`Cooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07gooooo0ol00?l5ooooo`03
ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`1looooo`?o003o1_ooool00ooo003oooooooooo`07ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0Nooo
ool3o`00o`Oooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool0
0ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07[ooooo0ol00?l8ooooo`03ool00?oooooo
oooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
07Wooooo0ol00?l9ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1hooooo`?o003o2_ooool00ooo003o
ooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0M_ooool4o`00o`_ooooo00?oo`00ooooooooool01oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07Gooooo1?l0
0?l<ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1dooooo`?o003o3_ooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0Loooool3o`00o`oooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07;ooooo0ol00?l@ooooo`03
ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`1aooooo`?o003o4Oooool00ooo003oooooooooo`07ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0L?oo
ool3o`00oa;ooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool0
0ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06oooooo0ol00?lCooooo`03ool00?oooooo
oooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
06kooooo0ol00?lDooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1]ooooo`?o003o5Oooool00ooo003o
ooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0K?ooool3o`00oaKooooo00?oo`00ooooooooool01oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06_ooooo0ol0
0?lGooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1Zooooo`?o003o6?ooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0J?ooool4o`00oaWooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06Oooooo1?l00?lJooooo`03
ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`1Vooooo`?o003o7?ooool00ooo003oooooooooo`07ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0IOoo
ool3o`00oagooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool0
0ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06Cooooo0ol00?lNooooo`03ool00?oooooo
oooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
06?ooooo0ol00?lOooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Qooooo`Co003o8?ooool00ooo003o
ooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0H?ooool4o`00ob7ooooo00?oo`00ooooooooool01oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05oooooo0ol0
0?lSooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1Nooooo`?o003o9?ooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0GOooool3o`00obGooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05cooooo0ol00?lVooooo`03
ool00?oooooooooo00Oooooo0002ooooo`;o00001?ooool01?l0003oooooooooooooool5o`0000Go
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05_o
oooo0ol00?lWooooo`03ool00?oooooooooo00Oooooo00001Ooooooo0000oooooooooooo000000So
oooo00Co0000oooooooooooo00001Oooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool0FOooool4o`00obSooooo00?oo`00ooooooooool01oooool00005
ooooool0003oooooooooool000002Oooool00ol0003oooooooooo`05ooooo`03o`000?oooooooooo
01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo
02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Hooooo`Co003o:Oooool00ooo
003oooooooooo`07ooooo`0000Goooooo`000?ooooooooooo`00000:ooooo`03o`000?oooooooooo
00Cooooo0ol0000Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo
003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0Eoooool3o`00
ob_ooooo00?oo`00ooooooooool01oooool00005ooooool0003oooooooooool000001oooool01Ol0
003ooooooooooooooooo000000Gooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0R
ooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`
ooooo`03ool00?oooooooooo05Kooooo0ol00?l/ooooo`03ool00?oooooooooo00Oooooo00001Ooo
oooo0000oooooooooooo000000Oooooo00Go0000ooooooooooooooooo`000005ooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oo
oooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Eooooo`?o003o;Ooo
ool00ooo003oooooooooo`07ooooo`000_ooool2o`0000Wooooo0ol00006ooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Dooooo`?o003o;_ooool0
0ooo003oooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool0Doooool3o`00oboooooo00?oo`00ooooooooool01oooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05;o
oooo0ol00?l`ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo
00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Aooooo`?o003o<Oooool00ooo003ooooo
ooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool0D?ooool3o`00oc;ooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo04oooooo0ol00?lc
ooooo`03ool00?oooooooooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Roooo
o`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`oooo
o`03ool00?oooooooooo04kooooo0ol00?ldooooo`03ool00?oooooooooo00Oooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1=ooooo`?o
003o=Oooool00ooo003oooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo033ooooo00?oo`00ooooooooool0Boooool4o`00ocKooooo00?oo`00ooooooooool0
1oooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oo
oooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oo
oooooooo04[ooooo1?l00?lgooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?oooon9ool000Wooooo000Fooooo`03o`000?oooooooooo
01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo
02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`18ooooo`?o003oA?ooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo04Oo
oooo0ol00?m5ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0A_ooool3o`00odKooooo000Fooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`14ooooo`Co003oAoooool001Kooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo04?ooooo1?l00?m8
ooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Soooo
o`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`12oooo
o`?o003oB_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03
ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03
ool00?oooooooooo047ooooo0ol00?m;ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo033ooooo00?oo`00ooooooooool0@?ooool3o`00odcooooo000Fooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oo
oooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0oooooo`?o003oCOoo
ool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooo
oooo03gooooo1?l00?m>ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool0??ooool4o`00odoooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0kooooo`?o003oDOooool001Kooooo
00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo
00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo03[ooooo
0ol00?mBooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool0>Oooool3o`00oe?ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`0hooooo`?o003oE?ooool001Kooooo0_l0000Poooo
o`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yoooo
o`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0=_ooool4o`00oeGooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0eooooo`Co
003oE_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool0
0?oooooooooo03Cooooo0ol00?mHooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oo
oooooooo033ooooo00?oo`00ooooooooool0<oooool3o`00oeWooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0booooo`?o003oF_ooool0
01Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
037ooooo0ol00?mKooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;o
oooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033o
oooo00?oo`00ooooooooool0;oooool4o`00oecooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo
00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0^ooooo`Co003oGOooool000;ooooo0_l0
0004ooooo`03o`000?oooooooooo00?ooooo0ol00005ooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`0]ooooo`?o003oGoooool00005ooooool0003o
ooooooooool000002_ooool00ol0003oooooooooo`04ooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`0/ooooo`?o003oH?ooool00005ooooool0003o
ooooooooool000001oooool5o`0000Gooooo0ol0000Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool0:_ooool4o`00of7ooooo00001Ooooooo0000oooooooooooo000000Oooooo00Co
0000oooooooooooo00001_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0:Oooool4o`00of;ooooo00001Ooooooo0000oooooooooooo000000Sooooo
00?o0000ooooool000001_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0:?ooool3o`00ofCooooo00001Ooooooo0000oooooooooooo000000Wooooo
0_l00006ooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooo
ooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003ooooo
ooooo`0Vooooo`Co003oIOooool000;ooooo0_l0000;ooooo`03o`000?oooooooooo00Cooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo02Gooooo1?l0
0?mVooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00
ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00
ooooooooool09?ooool3o`00ofSooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00oooo
ooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00oooo
ooooool0<?ooool00ooo003oooooooooo`0Sooooo`?o003oJOooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo027ooooo1?l00?mZooooo`00
5_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool0
8oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0
8?ooool4o`00of_ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_oo
ool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?oo
ool00ooo003oooooooooo`0Oooooo`?o003oKOooool001Kooooo0_l0000Pooooo`03ool00?oooooo
oooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooo
oooo033ooooo00?oo`00ooooooooool07_ooool3o`00ofkooooo000Fooooo`03o`000?oooooooooo
01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo
02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0Mooooo`?o003oKoooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo01co
oooo0ol00?m`ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool06_ooool4o`00og7ooooo000Fooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`0Iooooo`Co003oL_ooool001Kooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo01Sooooo0ol00?md
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool05oooool3o`00ogGooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00oooooooo
ool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00oooooooo
ool0<?ooool00ooo003oooooooooo`0Fooooo`?o003oM_ooool001Kooooo00?o0000ooooooooool0
7oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0
:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo01Gooooo0ol00?mgooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool04ooo
ool4o`00ogSooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooo
oooo01;ooooo1?l00?miooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool04Oooool3o`00og_ooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0@ooooo`?o003oO?ooool001Kooooo
00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo
00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo00kooooo
1?l00?mmooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool03Oooool4o`00ogkooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`0<ooooo`?o003oP?ooool001Kooooo00?o0000oooo
ooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooo
ooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo00[ooooo1?l00?n1oooo
o`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooooooo
ool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooooooo
ool02Oooool4o`00oh;ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`08ooooo`?o003oQ?ooool001Kooooo00?o0000ooooooooool07ooo
ool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Ooo
ool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo00Oooooo0ol00?n5ooooo`005_ooool2
o`00023ooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`05ooooo`Co003oQ_ooool0
01Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
00Cooooo1?l00?n7ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;o
oooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033o
oooo00?oo`00ooooooooool00_ooool4o`00ohWooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo
00?oo`00ooooooooool0<?ooool01?oo003oooooooooooooool4o`00oh[ooooo000Fooooo`03o`00
0?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool0
0?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`03o`00ohcooooo
000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooooooo
o`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003o003oo`00
o`02o`00ohgooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool0
0ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool0
1?oo003o003oo`00ool00?n>ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3
o`0000Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0^ooooo`;o003o00?oo`00
o`00ooooool0Soooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooo
oooo000000Gooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oo
oooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0]ooooo`?o003o00?o
o`00ooooooooool0Soooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooooooo
oooooooo000000Gooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0/ooooo`?o003o
00?oooooool00?ooool0T?ooool00005ooooool0003oooooooooool000001oooool4o`0000Kooooo
0ol0000Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo02[ooooo1?l00?l2ooooo`03ool00?oooooooooo08oooooo
00001Ooooooo0000oooooooooooo000000Oooooo00?o0000ooooooooool01oooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo02Wooooo1?l00?l3ooooo`03ool00?oooooooooo08oooooo
00001Ooooooo0000oooooooooooo000000Sooooo00?o0000ooooooooool01_ooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo02Sooooo0ol00?l5ooooo`03ool00?oooooooooo08oooooo
0002ooooo`;o00002_ooool2o`0000Kooooo00?o0000ooooooooool07oooool00ooo003ooooooooo
o`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003ooooooooo
o`0Vooooo`Co003o1_ooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Y
ooooo`03ool00?oooooooooo02Gooooo1?l00?l7ooooo`03ool00?oooooooooo08oooooo000Foooo
o`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Soooo
o`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool08oooool4o`00o`Wooooo00?oo`00oooo
ooooool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03
ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0Rooooo`Co
003o2_ooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo027ooooo0ol00?l<ooooo`03ool00?oooooooooo08oooooo000Fooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oo
oooooooo02Wooooo00?oo`00ooooooooool07oooool4o`00o`gooooo00?oo`00ooooooooool0Sooo
ool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0Nooooo`Co003o3_ooool0
0ooo003oooooooooo`2?ooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool08_ooool00ooo
003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool07Oooool3o`00
oa3ooooo00?oo`00ooooooooool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003o
ooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003o
ooooooooo`0Kooooo`Co003o4Oooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo01[ooooo1?l00?lBooooo`03ool00?oooooooooo08oooooo
000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooooooo
o`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool06?ooool4o`00oaCooooo00?o
o`00ooooooooool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0R
ooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0G
ooooo`Co003o5Oooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0Ooooo
o`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yoooo
o`03ool00?oooooooooo01Gooooo1?l00?lGooooo`03ool00?oooooooooo08oooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo02Wooooo00?oo`00ooooooooool04oooool5o`00oaSooooo00?oo`00oooooooo
ool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0Booooo`Co003o
6_ooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oo
oooooooo013ooooo1?l00?lLooooo`03ool00?oooooooooo08oooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool03oooool4o`00oagooooo00?oo`00ooooooooool0Soooool0
01Kooooo0_l0000Pooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo
003oooooooooo`0Yooooo`03ool00?oooooooooo00gooooo1?l00?lOooooo`03ool00?oooooooooo
08oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003o
ooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo=?oo002Aooooo`005_ooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo00[ooooo1?l00?ndooooo`005_ooool00ol0003ooooooooo
o`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooooooo
o`0Yooooo`03ool00?oooooooooo00Wooooo1?l00?neooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Y
ooooo`03ool00?oooooooooo00Oooooo1?l00?ngooooo`005_ooool00ol0003oooooooooo`0Ooooo
o`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yoooo
o`03ool00?oooooooooo00Gooooo1Ol00?nhooooo`005_ooool00ol0003oooooooooo`0Oooooo`03
ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03
ool00?oooooooooo00Cooooo1?l00?njooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo00;ooooo1?l00?nlooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`04ool00?oo
ooooooooooooo`Co003o_Oooool001Kooooo00?o0000ooooooooool07oooool00ooo003ooooooooo
o`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooo`00
o`03o`00okoooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003o003oo`00o`02o`00ol3ooooo000Foooo
o`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Soooo
o`03ool00?oooooooooo02Sooooo00Co003oool00?l00?oo003o`_ooool001Kooooo00?o0000oooo
ooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooo
ooooool09_ooool3o`00o`03ool00?oooooooooo0<;ooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Co
oooo1Ol00?l00ooo003oooooooooo`32ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Rooooo`Go003o
0_ooool00ooo003oooooooooo`32ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Qooooo`Co003o1?oo
ool00ooo003oooooooooo`32ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooo
oooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Oooooo`Co003o1_ooool0
0ooo003oooooooooo`32ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3o`00
00Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool07Oooool5o`00o`Oooooo00?oo`00ooooooooool0`_ooool00005
ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo000000Gooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool06oooool5o`00o`Wooooo00?oo`00ooooooooool0`_ooool00005ooooool0003ooooo
ooooool000001oooool01Ol0003ooooooooooooooooo000000Gooooo0ol0000Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Jooooo`Co003o2ooo
ool00ooo003oooooooooo`32ooooo`0000Goooooo`000?ooooooooooo`000008ooooo`?o00001_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Hooooo`Co003o3Oooool00ooo003oooooooooo`32ooooo`0000Gooooo
o`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool000001Oooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Fooooo`Go003o3_ooool00ooo003oooooooooo`32ooooo`0000Goooooo`000?oooooooooo
o`000007ooooo`05o`000?ooooooooooooooool000001Oooool00ol0003oooooooooo`0Oooooo`03
ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Dooooo`Go
003o4?ooool00ooo003oooooooooo`32ooooo`000_ooool2o`0000Wooooo0ol00006ooooo`03o`00
0?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooobgoo`00
a?ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oo
oooooooo02?ooooo00?oo`00ooooooooool04Oooool4o`00omWooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo00oooooo1Ol00?oJooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0=ooooo`Go003og?ooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool02oooool5o`00omkooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo00Sooooo
1_l00?oPooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool08_ooool00ooo003ooooooooo
o`0Sooooo`03ool00?oooooooooo00Kooooo1_l00?oRooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`04
ooooo`Go003oiOooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Roooo
o`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool00_ooool5o`00onOooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo00Go003ojOooool001Kooooo00?o0000ooooooooool07oooool00ooo003ooooo
ooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00o`00ool00?l00ol00?o[ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08_oo
ool00ol00?ooo`00o`00o`02o`00ongooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Oooooo`Co003o00?oo`00o`00ooooool0k_ooool0
01Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
01gooooo1_l00?l00ooo003oooooooooo`3^ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03
ool00?oooooooooo02;ooooo00?oo`00ooooooooool06oooool5o`00o`?ooooo00?oo`00oooooooo
ool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo01Wooooo1Ol00?l5ooooo`03ool00?oooooooooo0>kooooo000Fooooo`;o00008?oo
ool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo01Kooooo1_l00?l7ooooo`03ool00?oo
oooooooo0>kooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool0
0ooo003oooooooooo`0Cooooo`Oo003o2Oooool00ooo003oooooooooo`3^ooooo`005_ooool00ol0
003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool04?ooool7o`00
o`cooooo00?oo`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003o
ooooooooo`0Rooooo`03ool00?oooooooooo00gooooo1ol00?l?ooooo`03ool00?oooooooooo0>ko
oooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooo
ooooo`0:ooooo`Oo003o4_ooool00ooo003oooooooooo`3^ooooo`005_ooool00ol0003ooooooooo
o`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool01oooool7o`00oaGooooo00?o
o`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0R
ooooo`03ool00?oooooooooo00Cooooo1ol00?lHooooo`03ool00?oooooooooo0>kooooo000Foooo
o`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool01?oo003oooooooooooooool7
o`00oa_ooooo00?oo`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo
003oooooooooo`0Rooooo`03ool00?l00?oo003o00Go003o7_ooool00ooo003oooooooooo`3^oooo
o`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo023ooooo0_l00?l00ooo003o
003oo`00o`02o`00ob7ooooo00?oo`00ooooooooool0k_ooool001Kooooo0_l0000Pooooo`03ool0
0?oooooooooo01gooooo1Ol00?l00ooo003o003oooooo`0Sooooo`03ool00?oooooooooo0>kooooo
000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool06Oooool8o`00o`03oooooooo
003ooooo02Cooooo00?oo`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Fooooo`So003o1?ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo0>kooooo000Fooooo`03o`000?oooooooooo01ooooooC?oo003`ooooo`005_ooool00ol0003o
ooooooooo`0Oooooo`03ool00?oooooooooo00gooooo2_l00?ooooooob?ooooo000Fooooo`03o`00
0?oooooooooo01oooooo00?oo`00ooooooooool02?ooool;o`00oooooooo9oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`02ooooo`co003oooooool/ooooo`005_ooool0
0ol0003oooooooooo`0Mooooo`;o003o00?oo`00o`00ool00?l02Ol00?oooooooc7ooooo000=oooo
o`?o00001_ooool00ol0003oooooooooo`0Eooooo`[o003o00?oo`00o`00ool00?l00ol00?oooooo
ocOooooo000>ooooo`03o`000?oooooooooo00Gooooo00?o0000ooooooooool03?oooolBo`00o`03
oooooooo003ooooo0?oooooo>oooool000kooooo00?o0000ooooooooool01?oooolJo`00o`Wooooo
00?oo`00ooooooooool0ooooooljooooo`003_ooool00ol0003oooooooooo`04oooooa7o003o4_oo
ool00ooo003oooooooooo`3ooooooc[ooooo000>ooooo`03o`000?oooooooooo00Gooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`3ooooooc[ooooo000=ooooo`;o00001oooool00ol0
003oooooooooo`0Oooooo`03ool00?oooooooooo0?oooooo>_ooool000kooooo00?o0000oooooooo
ool01Oooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo0?oooooo>_ooool001Kooooo
00?o0000ooooooooool07oooool00ooo003oooooooooo`3ooooooc[ooooo000Fooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool0ooooooljooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo0?oooooo>_ooool001Kooooo00?o0000ooooooooool07oooool00ooo
003oooooooooo`3ooooooc[ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00oooooooo
ool0ooooooljooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool0ooooooljooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo0?oooooo>_ooool001Kooooo8ooo003o
oooooccooooo000Fooooo`03o`000?oooooooooo0?ooooooG?ooool001Kooooo00?o0000oooooooo
ool0oooooomLooooo`005_ooool00ol0003oooooooooo`3ooooooecooooo000Fooooo`03o`000?oo
oooooooo0?ooooooG?ooool001Kooooo00?o0000ooooooooool0oooooomLooooo`00\
\>"],
  ImageRangeCache->{{{0, 371.188}, {229, 0}} -> {-0.0660376, -0.0680253, \
0.00293933, 0.00504922}}],

Cell[BoxData[
    FormBox[
      TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
        False,
        Editable->False], TraditionalForm]], "Output"]
}, Open  ]],

Cell[BoxData[
    \(\(MyInte3[f_, xlims_, ylims_, nev_] := 
        Module[{var, jacobian, xi, sum, 
            max}, \[IndentingNewLine] (*do\ the\ unweighting\
*) \[IndentingNewLine]sum = 0; \[IndentingNewLine]var = 
            0; \[IndentingNewLine]count = 0; \[IndentingNewLine]noin = 
            0; \[IndentingNewLine]deltax = 
            Abs[xlims[\([2]\)] - xlims[\([1]\)]]; \[IndentingNewLine]deltay = 
            Abs[ylims[\([2]\)] - ylims[\([1]\)]]; \[IndentingNewLine]While[
            count < nev, \[IndentingNewLine]xi = 
              deltax*Random[]; \[IndentingNewLine]yi = 
              deltay\ *Random[]; \[IndentingNewLine]If[
              f[xi] > yi, \[IndentingNewLine]sum = 
                sum + 1, \[IndentingNewLine]noin = 
                noin + 1]; \[IndentingNewLine]count = 
              count + 1]; \[IndentingNewLine]sum = 
            sum/nev; \[IndentingNewLine]sig = sum; \[IndentingNewLine]eff = 
            count/\((count + noin)\) // 
              N; \[IndentingNewLine]Return[{sum // N, sig // N, 
              eff}]];\)\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(f[x_] := Cos[Pi/2\ x];\)\), "\[IndentingNewLine]", 
    \(\(xlow = 0;\)\), "\[IndentingNewLine]", 
    \(\(xup = 1;\)\), "\[IndentingNewLine]", 
    \(\(events = 10000;\)\), "\[IndentingNewLine]", 
    \(\(Print["\<Analytic Result : \>", 
        Integrate[f[x], {x, xlow, xup}] // N];\)\), "\[IndentingNewLine]", 
    \({res, sig, eff} = 
      MyInte3[f, {xlow, xup}, {0, 1}, events]\), "\[IndentingNewLine]", 
    \(\(Print["\<MC result :\>", res, \ "\< +- \>", sig, "\</Sqrt[\>", 
        events, "\<], eff = \>", eff];\)\)}], "Input"],

Cell[BoxData[
    FormBox[
      InterpretationBox[\("Analytic Result : \
"\[InvisibleSpace]0.6366197723675814`\),
        SequenceForm[ "Analytic Result : ", 0.63661977236758138],
        Editable->False], TraditionalForm]], "Print"],

Cell[BoxData[
    \(TraditionalForm\`{0.6347`, 0.6347`, 0.7324397568300007`}\)], "Output"],

Cell[BoxData[
    FormBox[
      InterpretationBox[\("MC result :"\[InvisibleSpace]0.6347`\
\[InvisibleSpace]" +- "\[InvisibleSpace]0.6347`\[InvisibleSpace]"/Sqrt["\
\[InvisibleSpace]10000\[InvisibleSpace]"], eff = \
"\[InvisibleSpace]0.7324397568300007`\),
        SequenceForm[ 
        "MC result :", 0.63470000000000004, " +- ", 0.63470000000000004, 
          "/Sqrt[", 10000, "], eff = ", 0.73243975683000073],
        Editable->False], TraditionalForm]], "Print"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[StyleBox["Von Neumann's  rejection method  : improved ",
  FontSize->16]], "Section"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(<< Graphics`Colors`;\)\), "\[IndentingNewLine]", 
    \(ob1 = 
      Plot[{Cos[Pi/2\ x], 1 - x^2}, {x, 0, 1}, \ 
        PlotStyle \[Rule] {Blue, Red}]\), "\[IndentingNewLine]", 
    \(\)}], "Input"],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.952381 0.0147151 0.588604 [
[.21429 .00222 -9 -9 ]
[.21429 .00222 9 0 ]
[.40476 .00222 -9 -9 ]
[.40476 .00222 9 0 ]
[.59524 .00222 -9 -9 ]
[.59524 .00222 9 0 ]
[.78571 .00222 -9 -9 ]
[.78571 .00222 9 0 ]
[.97619 .00222 -3 -9 ]
[.97619 .00222 3 0 ]
[.01131 .13244 -18 -4.5 ]
[.01131 .13244 0 4.5 ]
[.01131 .25016 -18 -4.5 ]
[.01131 .25016 0 4.5 ]
[.01131 .36788 -18 -4.5 ]
[.01131 .36788 0 4.5 ]
[.01131 .4856 -18 -4.5 ]
[.01131 .4856 0 4.5 ]
[.01131 .60332 -6 -4.5 ]
[.01131 .60332 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.21429 .01472 m
.21429 .02097 L
s
[(0.2)] .21429 .00222 0 1 Mshowa
.40476 .01472 m
.40476 .02097 L
s
[(0.4)] .40476 .00222 0 1 Mshowa
.59524 .01472 m
.59524 .02097 L
s
[(0.6)] .59524 .00222 0 1 Mshowa
.78571 .01472 m
.78571 .02097 L
s
[(0.8)] .78571 .00222 0 1 Mshowa
.97619 .01472 m
.97619 .02097 L
s
[(1)] .97619 .00222 0 1 Mshowa
.125 Mabswid
.07143 .01472 m
.07143 .01847 L
s
.11905 .01472 m
.11905 .01847 L
s
.16667 .01472 m
.16667 .01847 L
s
.2619 .01472 m
.2619 .01847 L
s
.30952 .01472 m
.30952 .01847 L
s
.35714 .01472 m
.35714 .01847 L
s
.45238 .01472 m
.45238 .01847 L
s
.5 .01472 m
.5 .01847 L
s
.54762 .01472 m
.54762 .01847 L
s
.64286 .01472 m
.64286 .01847 L
s
.69048 .01472 m
.69048 .01847 L
s
.7381 .01472 m
.7381 .01847 L
s
.83333 .01472 m
.83333 .01847 L
s
.88095 .01472 m
.88095 .01847 L
s
.92857 .01472 m
.92857 .01847 L
s
.25 Mabswid
0 .01472 m
1 .01472 L
s
.02381 .13244 m
.03006 .13244 L
s
[(0.2)] .01131 .13244 1 0 Mshowa
.02381 .25016 m
.03006 .25016 L
s
[(0.4)] .01131 .25016 1 0 Mshowa
.02381 .36788 m
.03006 .36788 L
s
[(0.6)] .01131 .36788 1 0 Mshowa
.02381 .4856 m
.03006 .4856 L
s
[(0.8)] .01131 .4856 1 0 Mshowa
.02381 .60332 m
.03006 .60332 L
s
[(1)] .01131 .60332 1 0 Mshowa
.125 Mabswid
.02381 .04415 m
.02756 .04415 L
s
.02381 .07358 m
.02756 .07358 L
s
.02381 .10301 m
.02756 .10301 L
s
.02381 .16187 m
.02756 .16187 L
s
.02381 .1913 m
.02756 .1913 L
s
.02381 .22073 m
.02756 .22073 L
s
.02381 .27959 m
.02756 .27959 L
s
.02381 .30902 m
.02756 .30902 L
s
.02381 .33845 m
.02756 .33845 L
s
.02381 .39731 m
.02756 .39731 L
s
.02381 .42674 m
.02756 .42674 L
s
.02381 .45617 m
.02756 .45617 L
s
.02381 .51503 m
.02756 .51503 L
s
.02381 .54446 m
.02756 .54446 L
s
.02381 .57389 m
.02756 .57389 L
s
.25 Mabswid
.02381 0 m
.02381 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
0 0 1 r
.5 Mabswid
.02381 .60332 m
.02499 .60332 L
.02605 .60331 L
.02729 .60331 L
.02846 .6033 L
.03053 .60328 L
.03279 .60325 L
.03527 .60321 L
.0379 .60316 L
.04262 .60304 L
.04749 .60287 L
.05205 .60268 L
.06244 .60212 L
.07305 .60138 L
.08274 .60054 L
.10458 .5981 L
.12357 .59537 L
.14429 .59174 L
.18493 .58266 L
.22406 .5715 L
.26565 .55711 L
.30571 .54083 L
.34426 .523 L
.38527 .50178 L
.42475 .47924 L
.46273 .45571 L
.50315 .42875 L
.54206 .40107 L
.58342 .3699 L
.62326 .33831 L
.66159 .30661 L
.70238 .27159 L
.74164 .23678 L
.77939 .20243 L
.8196 .16505 L
.85828 .12846 L
.89942 .08904 L
.93905 .05075 L
.97619 .01472 L
s
1 0 0 r
.02381 .60332 m
.02499 .60332 L
.02605 .60332 L
.02729 .60331 L
.02846 .6033 L
.03053 .60329 L
.03279 .60327 L
.03527 .60323 L
.0379 .60319 L
.04262 .60309 L
.04749 .60296 L
.05205 .6028 L
.06244 .60235 L
.07305 .60175 L
.08274 .60106 L
.10458 .59909 L
.12357 .59686 L
.14429 .5939 L
.18493 .58647 L
.22406 .5773 L
.26565 .56537 L
.30571 .55175 L
.34426 .53668 L
.38527 .51853 L
.42475 .499 L
.46273 .4783 L
.50315 .45421 L
.54206 .42903 L
.58342 .4001 L
.62326 .37013 L
.66159 .33935 L
.70238 .30451 L
.74164 .26893 L
.77939 .23284 L
.8196 .19236 L
.85828 .15143 L
.89942 .10578 L
.93905 .05973 L
.97619 .01472 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{553, 341.625},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40008Y0001EB000`400?l00000o`00003ooooooooo
ooooob_ooooo001iooooo`;o00001?ooool01?l0003oooooooooooooool5o`0005Oooooo0_l00004
ooooo`03o`000?oooooooooo00?ooooo0ol0001Hooooo`;o00001?ooool00ol0003oooooooooo`02
ooooo`?o0000F?ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3o`0005kooooo0ol0000>
ooooo`00N?ooool01?l0003oooooooooool00008ooooo`04o`000?ooooooooooo`0005Kooooo00Co
0000oooooooooooo00002_ooool00ol0003oooooooooo`1Fooooo`04o`000?ooooooooooo`0000Oo
oooo00Go0000ooooooooooooooooo`00001Fooooo`04o`000?ooooooooooo`0000Oooooo00Go0000
ooooooooooooooooo`00001Nooooo`03o`000?oooooooooo00gooooo001hooooo`04o`000?oooooo
ooooo`0000Wooooo00?o0000ooooooooool0E_ooool01?l0003oooooooooool00007ooooo`Go0000
Eoooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool00000E_ooool01?l0
003oooooooooool00007ooooo`05o`000?ooooooooooooooool00000G_ooool00ol0003ooooooooo
o`0=ooooo`00N?ooool01?l0003oooooooooool0000:ooooo`03o`000?oooooooooo05Gooooo00Co
0000oooooooooooo00001oooool01?l0003oooooooooool0001Hooooo`04o`000?ooooooooooo`00
00Oooooo1?l0001Gooooo`04o`000?ooooooooooo`0000Sooooo0ol0001Oooooo`03o`000?oooooo
oooo00gooooo001hooooo`04o`000?ooooooooooo`0000Oooooo00Go0000ooooooooooooooooo`00
001Fooooo`04o`000?ooooooooooo`0000Sooooo00?o0000ooooool00000F?ooool01?l0003ooooo
ooooool00007ooooo`03o`000?oooooooooo05Sooooo00Co0000oooooooooooo00001oooool01Ol0
003ooooooooooooooooo000005kooooo00?o0000ooooooooool03Oooool007Sooooo00Co0000oooo
oooooooo00001oooool01Ol0003ooooooooooooooooo000005Kooooo00Co0000oooooooooooo0000
2Oooool2o`0005Sooooo00Co0000oooooooooooo00002?ooool00ol0003oooooooooo`1Gooooo`04
o`000?ooooooooooo`0000Oooooo00Go0000ooooooooooooooooo`00001Mooooo`;o00003oooool0
07Wooooo0_l00009ooooo`?o0000F?ooool2o`0000_ooooo00?o0000ooooooooool0Eoooool2o`00
00[ooooo0_l0001Hooooo`;o00002Oooool3o`0005oooooo00?o0000ooooooooool03Oooool001Wo
oooo00?o0000ooooooooool0ooooooooooooo`oooooo000Iooooo`03o`000?oooooooooo0?oooooo
ooooool?ooooo`006Oooool00ol0003oooooooooo`3ooooooooooooo3oooool001Wooooo00?o0000
ooooooooool0ooooooooooooo`oooooo000Iooooo`03o`000?oooooooooo0?ooooooooooool?oooo
o`006Oooool00ol0003oooooooooo`3ooooooooooooo3oooool001Wooooo00?o0000ooooooooool0
ooooooooooooo`oooooo000Iooooo`03o`000?oooooooooo0?ooooooooooool?ooooo`003?oooooo
o`000?oo00003ol000000ol00?ooo`00o`00000<o`00007ooooo000Iooooo`03o`000?oooooooooo
01Oooooo00?o0000ooooooooool05_ooool00ol0003oooooooooo`0Gooooo`03o`000?oooooooooo
01Oooooo00?o0000ooooooooool05_ooool00ol0003oooooooooo`0Gooooo`03o`000?oooooooooo
01Oooooo00?o0000ooooooooool05_ooool00ol0003oooooooooo`0Gooooo`03o`000?oooooooooo
01Kooooo00?o0000ooooooooool05oooool00ol0003oooooooooo`0Gooooo`03o`000?oooooooooo
01Kooooo00?o0000ooooooooool05oooool00ol0003oooooooooo`0Gooooo`03o`000?oooooooooo
01Kooooo00?o0000ooooooooool05oooool00ol0003oooooooooo`0Gooooo`03o`000?oooooooooo
01Kooooo00?o0000ooooooooool05Oooool00ol00?ooooooool0000>ooooo`006Oooool00ol0003o
ooooooooo`0Gooooo`03o`000?oooooooooo01Kooooo00?o0000ooooooooool05oooool00ol0003o
ooooooooo`0Gooooo`03o`000?oooooooooo01Kooooo00?o0000ooooooooool05oooool00ol0003o
ooooooooo`0Gooooo`03o`000?oooooooooo01Kooooo00?o0000ooooooooool05oooool00ol0003o
ooooooooo`0Fooooo`03o`000?oooooooooo01Oooooo00?o0000ooooooooool05oooool00ol0003o
ooooooooo`0Fooooo`03o`000?oooooooooo01Oooooo00?o0000ooooooooool05oooool00ol0003o
ooooooooo`0Fooooo`03o`000?oooooooooo01Oooooo00?o0000ooooooooool05oooool00ol0003o
ooooooooo`0Fooooo`03o`000?oooooooooo01Cooooo00Co003ooooooooo003o00003_ooool001Wo
oooo00?o0000ooooooooool0I?ooool00ol0003oooooooooo`1Sooooo`03o`000?oooooooooo06Co
oooo00?o0000ooooooooool0Hoooool00ol0003oooooooooo`1Pooooo`05o`00ooooooooo`00oooo
ool000003_ooool001Wooooo00?o0000ooooooooool0ooooooojooooo`03o`00ooooooooo`00017o
oooo000Iooooo`03o`000?oooooooooo0?oooooonOooool00ol00?ooooooool0000Booooo`006Ooo
ool00ol0003oooooooooo`3oooooooSooooo00?o003ooooooooo00004oooool001Wooooo00?o0000
ooooooooool0ooooooogooooo`04o`00ooooooooooooool001?ooooo000Iooooo`03o`000?oooooo
oooo0?oooooom_ooool01?l00?oooooooooooooo000Dooooo`006Oooool00ol0003oooooooooo`3o
ooooooGooooo00Co003oooooooooooooo`005Oooool001Wooooo00?o0000ooooooooool0oooooood
ooooo`04o`00ooooooooooooool001Kooooo000Iooooo`03o`000?oooooooooo0?ooooooloooool0
1?l00?oooooooooooooo000Gooooo`006Oooool00ol0003oooooooooo`3ooooooo;ooooo00Co003o
ooooooooooooo`006?ooool001Wooooo00?o0000ooooooooool0oooooooaooooo`05o`00oooooooo
oooooooooooo00006?ooool001Wooooo00?o0000ooooooooool0ooooooo`ooooo`05o`00oooooooo
oooooooooooo00006Oooool001Wooooo0ol0003oooooonoooooo00Go003oooooooooooooooooool0
000Jooooo`006Oooool00ol0003oooooooooo`3oooooonkooooo00Go003oooooooooooooooooool0
000Kooooo`006Oooool00ol0003oooooooooo`3oooooongooooo00Go003oooooooooooooooooool0
000Looooo`006Oooool00ol0003oooooooooo`3ooooooncooooo00Go003oooooooooooooooooool0
000Mooooo`006Oooool00ol0003oooooooooo`3oooooon_ooooo00?o003oooooooooool00_ooool0
0ooo003oooooooooo`0Kooooo`006Oooool00ol0003oooooooooo`3oooooon[ooooo00?o003ooooo
ooooool00_ooool00ooo003oooooooooo`0Looooo`006Oooool00ol0003oooooooooo`3oooooonWo
oooo00?o003oooooooooool00_ooool00ooo003oooooooooo`0Mooooo`006Oooool00ol0003ooooo
ooooo`3oooooonSooooo00?o003oooooooooool00_ooool00ooo003oooooooooo`0Nooooo`006Ooo
ool00ol0003oooooooooo`3oooooonOooooo00?o003oooooooooool00_ooool00ooo003ooooooooo
o`0Oooooo`006Oooool00ol0003oooooooooo`3oooooonKooooo00?o003oooooooooool00_ooool0
0ooo003oooooooooo`0Pooooo`006Oooool00ol0003oooooooooo`3oooooonGooooo00?o003ooooo
ooooool00oooool00ooo003oooooooooo`0Pooooo`006Oooool00ol0003oooooooooo`3oooooonCo
oooo00?o003oooooooooool00oooool00ooo003oooooooooo`0Qooooo`006Oooool00ol0003ooooo
ooooo`3oooooon?ooooo00?o003oooooooooool00oooool00ooo003oooooooooo`0Rooooo`006Ooo
ool00ol0003oooooooooo`3oooooon;ooooo00?o003oooooooooool00oooool00ooo003ooooooooo
o`0Sooooo`006Oooool00ol0003oooooooooo`3oooooon7ooooo00?o003oooooooooool00oooool0
0ooo003oooooooooo`0Tooooo`006Oooool00ol0003oooooooooo`3oooooon3ooooo00?o003ooooo
ooooool00oooool00ooo003oooooooooo`0Uooooo`006Oooool3o`000?oooooogoooool00ol00?oo
ooooooooo`04ooooo`03ool00?oooooooooo02Gooooo000Iooooo`03o`000?oooooooooo0?oooooo
g_ooool00ol00?ooooooooooo`04ooooo`03ool00?oooooooooo02Kooooo000Iooooo`03o`000?oo
oooooooo0?oooooogOooool00ol00?ooooooooooo`04ooooo`03ool00?oooooooooo02Oooooo000I
ooooo`03o`000?oooooooooo0?oooooog?ooool00ol00?ooooooooooo`04ooooo`03ool00?oooooo
oooo02Sooooo000Iooooo`03o`000?oooooooooo0?oooooofoooool00ol00?ooooooooooo`04oooo
o`03ool00?oooooooooo02Wooooo000Iooooo`03o`000?oooooooooo0?oooooof_ooool00ol00?oo
ooooooooo`04ooooo`03ool00?oooooooooo02[ooooo000Iooooo`03o`000?oooooooooo0?oooooo
fOooool00ol00?ooooooooooo`04ooooo`03ool00?oooooooooo02_ooooo000Iooooo`03o`000?oo
oooooooo0?oooooof?ooool00ol00?ooooooooooo`05ooooo`03ool00?oooooooooo02_ooooo000I
ooooo`03o`000?oooooooooo0?ooooooeoooool00ol00?ooooooooooo`05ooooo`03ool00?oooooo
oooo02cooooo000Iooooo`03o`000?oooooooooo0?ooooooeOooool2o`00o`Oooooo00?oo`00oooo
ooooool0;Oooool001Wooooo00?o0000ooooooooool0oooooooDooooo`03o`00oooooooooooo00Ko
oooo00?oo`00ooooooooool0;_ooool001Wooooo00?o0000ooooooooool0oooooooCooooo`03o`00
oooooooooooo00Kooooo00?oo`00ooooooooool0;oooool001Wooooo00?o0000ooooooooool0oooo
oooBooooo`03o`00oooooooooooo00Kooooo00?oo`00ooooooooool0<?ooool001Wooooo00?o0000
ooooooooool0oooooooAooooo`03o`00oooooooooooo00Oooooo00?oo`00ooooooooool0<?ooool0
01Wooooo00?o0000ooooooooool0ooooooo@ooooo`03o`00oooooooooooo00Oooooo00?oo`00oooo
ooooool0<Oooool001Wooooo00?o0000ooooooooool0ooooooo?ooooo`03o`00oooooooooooo00Oo
oooo00?oo`00ooooooooool0<_ooool001Wooooo0ol0003oooooolkooooo00?o003oooooooooool0
1oooool00ooo003oooooooooo`0cooooo`006Oooool00ol0003oooooooooo`3oooooolgooooo00?o
003oooooooooool01oooool00ooo003oooooooooo`0dooooo`006Oooool00ol0003oooooooooo`3o
ooooolcooooo00?o003oooooooooool01oooool00ooo003oooooooooo`0eooooo`006Oooool00ol0
003oooooooooo`3ooooool[ooooo0_l00?l:ooooo`03ool00?oooooooooo03Gooooo000Iooooo`03
o`000?oooooooooo0?oooooobOooool00ol00?ooooooooooo`09ooooo`03ool00?oooooooooo03Ko
oooo000Iooooo`03o`000?oooooooooo0?oooooob?ooool00ol00?ooooooooooo`09ooooo`03ool0
0?oooooooooo03Oooooo000Iooooo`03o`000?oooooooooo0?ooooooaoooool00ol00?oooooooooo
o`09ooooo`03ool00?oooooooooo03Sooooo000Iooooo`03o`000?oooooooooo0?ooooooa_ooool0
0ol00?ooooooooooo`09ooooo`03ool00?oooooooooo03Wooooo000Iooooo`03o`000?oooooooooo
0?ooooooaOooool00ol00?ooooooooooo`09ooooo`03ool00?oooooooooo03[ooooo000Iooooo`03
o`000?oooooooooo0?ooooooa?ooool00ol00?ooooooooooo`09ooooo`03ool00?oooooooooo03_o
oooo000Iooooo`03o`000?oooooooooo0?oooooo`oooool00ol00?ooooooooooo`09ooooo`03ool0
0?oooooooooo03cooooo000Iooooo`03o`000?oooooooooo0?oooooo`_ooool00ol00?oooooooooo
o`09ooooo`03ool00?oooooooooo03gooooo000Iooooo`03o`000?oooooooooo0?oooooo`Oooool0
0ol00?ooooooooooo`09ooooo`03ool00?oooooooooo03kooooo0002ooooo`;o00001?ooool01?l0
003oooooooooooooool5o`0000Sooooo00?o0000ooooooooool0ooooooo0ooooo`03o`00oooooooo
oooo00Wooooo00?oo`00ooooooooool0?oooool00005ooooool0003oooooooooool000002?ooool0
1?l0003oooooooooool00008ooooo`03o`000?oooooooooo0?oooooo_oooool00ol00?oooooooooo
o`09ooooo`03ool00?oooooooooo043ooooo00001Ooooooo0000oooooooooooo000000Wooooo00?o
0000ooooooooool02?ooool00ol0003oooooooooo`3ooooookkooooo00?o003oooooooooool02Ooo
ool00ooo003oooooooooo`11ooooo`0000Goooooo`000?ooooooooooo`00000:ooooo`03o`000?oo
oooooooo00Oooooo1?l0003ooooookcooooo00?o003oooooooooool02Oooool00ooo003ooooooooo
o`12ooooo`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool00000
2?ooool00ol0003oooooooooo`3ooooookcooooo00?o003oooooooooool02Oooool00ooo003ooooo
ooooo`13ooooo`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool0
00002?ooool00ol0003oooooooooo`3ooooook_ooooo00?o003oooooooooool02Oooool00ooo003o
ooooooooo`14ooooo`000_ooool2o`0000Wooooo0ol00009ooooo`03o`000?oooooooooo0?oooooo
^_ooool00ol00?ooooooooooo`09ooooo`03ool00?oooooooooo04Gooooo000Iooooo`03o`000?oo
oooooooo0?oooooo^Oooool00ol00?ooooooooooo`09ooooo`03ool00?oooooooooo04Kooooo000I
ooooo`03o`000?oooooooooo0?oooooo^?ooool00ol00?ooooooooooo`09ooooo`03ool00?oooooo
oooo04Oooooo000Iooooo`03o`000?oooooooooo0?oooooo]oooool00ol00?ooooooooooo`09oooo
o`03ool00?oooooooooo04Sooooo000Iooooo`03o`000?oooooooooo0?oooooo]_ooool00ol00?oo
ooooooooo`09ooooo`03ool00?oooooooooo04Wooooo000Iooooo`03o`000?oooooooooo0?oooooo
]Oooool00ol00?ooooooooooo`09ooooo`03ool00?oooooooooo04[ooooo000Iooooo`03o`000?oo
oooooooo0?oooooo]?ooool00ol00?ooooooooooo`09ooooo`03ool00?oooooooooo04_ooooo000I
ooooo`03o`000?oooooooooo0?oooooo/oooool00ol00?ooooooooooo`09ooooo`03ool00?oooooo
oooo04cooooo000Iooooo`03o`000?oooooooooo0?oooooo/_ooool00ol00?ooooooooooo`0:oooo
o`03ool00?oooooooooo04cooooo000Iooooo`03o`000?oooooooooo0?oooooo/Oooool00ol00?oo
ooooooooo`0:ooooo`03ool00?oooooooooo04gooooo000Iooooo`03o`000?oooooooooo0?oooooo
/?ooool00ol00?ooooooooooo`0:ooooo`03ool00?oooooooooo04kooooo000Iooooo`03o`000?oo
oooooooo0?oooooo[oooool00ol00?ooooooooooo`0:ooooo`03ool00?oooooooooo04oooooo000I
ooooo`03o`000?oooooooooo0?oooooo[_ooool00ol00?ooooooooooo`0:ooooo`03ool00?oooooo
oooo053ooooo000Iooooo`?o0000oooooon]ooooo`03o`00oooooooooooo00[ooooo00?oo`00oooo
ooooool0DOooool001Wooooo00?o0000ooooooooool0oooooon/ooooo`03o`00oooooooooooo00[o
oooo00?oo`00ooooooooool0D_ooool001Wooooo00?o0000ooooooooool0oooooonZooooo`;o003o
3?ooool00ooo003oooooooooo`1Cooooo`006Oooool00ol0003oooooooooo`3oooooojWooooo00?o
003oooooooooool02oooool00ooo003oooooooooo`1Dooooo`006Oooool00ol0003oooooooooo`3o
ooooojSooooo00?o003oooooooooool02oooool00ooo003oooooooooo`1Eooooo`006Oooool00ol0
003oooooooooo`3oooooojOooooo00?o003oooooooooool02oooool00ooo003oooooooooo`1Foooo
o`006Oooool00ol0003oooooooooo`3oooooojKooooo00?o003oooooooooool03?ooool00ooo003o
ooooooooo`1Fooooo`006Oooool00ol0003oooooooooo`3oooooojGooooo00?o003oooooooooool0
3?ooool00ooo003oooooooooo`1Gooooo`006Oooool00ol0003oooooooooo`3oooooojCooooo00?o
003oooooooooool03?ooool00ooo003oooooooooo`1Hooooo`006Oooool00ol0003oooooooooo`3o
oooooj?ooooo00?o003oooooooooool03?ooool00ooo003oooooooooo`1Iooooo`006Oooool00ol0
003oooooooooo`3ooooooj;ooooo00?o003oooooooooool03?ooool00ooo003oooooooooo`1Joooo
o`006Oooool00ol0003oooooooooo`3ooooooj7ooooo00?o003oooooooooool03?ooool00ooo003o
ooooooooo`1Kooooo`006Oooool00ol0003oooooooooo`3ooooooioooooo0_l00?l>ooooo`03ool0
0?oooooooooo05cooooo000Iooooo`03o`000?oooooooooo0?ooooooW_ooool00ol00?oooooooooo
o`0=ooooo`03ool00?oooooooooo05gooooo000Iooooo`03o`000?oooooooooo0?ooooooWOooool0
0ol00?ooooooooooo`0=ooooo`03ool00?oooooooooo05kooooo000Iooooo`03o`000?oooooooooo
0?ooooooW?ooool00ol00?ooooooooooo`0=ooooo`03ool00?oooooooooo05oooooo000Iooooo`?o
0000oooooonKooooo`03o`00oooooooooooo00gooooo00?oo`00ooooooooool0H?ooool001Wooooo
00?o0000ooooooooool0oooooonJooooo`03o`00oooooooooooo00gooooo00?oo`00ooooooooool0
HOooool001Wooooo00?o0000ooooooooool0oooooonIooooo`03o`00oooooooooooo00gooooo00?o
o`00ooooooooool0H_ooool001Wooooo00?o0000ooooooooool0oooooonHooooo`03o`00oooooooo
oooo00gooooo00?oo`00ooooooooool0Hoooool001Wooooo00?o0000ooooooooool0oooooonGoooo
o`03o`00oooooooooooo00gooooo00?oo`00ooooooooool0I?ooool001Wooooo00?o0000oooooooo
ool0oooooonFooooo`03o`00oooooooooooo00gooooo00?oo`00ooooooooool0IOooool001Wooooo
00?o0000ooooooooool0oooooonDooooo`;o003o3oooool00ooo003oooooooooo`1Vooooo`006Ooo
ool00ol0003oooooooooo`3ooooooi?ooooo00?o003oooooooooool03_ooool00ooo003ooooooooo
o`1Wooooo`006Oooool00ol0003oooooooooo`3ooooooi;ooooo00?o003oooooooooool03_ooool0
0ooo003oooooooooo`1Xooooo`006Oooool00ol0003oooooooooo`3ooooooi7ooooo00?o003ooooo
ooooool03_ooool00ooo003oooooooooo`1Yooooo`006Oooool00ol0003oooooooooo`3ooooooi3o
oooo00?o003oooooooooool03_ooool00ooo003oooooooooo`1Zooooo`006Oooool00ol0003ooooo
ooooo`3oooooohoooooo00?o003oooooooooool03_ooool00ooo003oooooooooo`1[ooooo`006Ooo
ool00ol0003oooooooooo`3oooooohkooooo00?o003oooooooooool03_ooool00ooo003ooooooooo
o`1/ooooo`006Oooool00ol0003oooooooooo`3oooooohgooooo00?o003oooooooooool03_ooool0
0ooo003oooooooooo`1]ooooo`006Oooool00ol0003oooooooooo`3oooooohcooooo00?o003ooooo
ooooool03_ooool00ooo003oooooooooo`1^ooooo`006Oooool00ol0003oooooooooo`3ooooooh[o
oooo0_l00?l@ooooo`03ool00?oooooooooo06oooooo000Iooooo`?o0000oooooon9ooooo`03o`00
oooooooooooo00oooooo00?oo`00ooooooooool0L?ooool001Wooooo00?o0000ooooooooool0oooo
oon8ooooo`03o`00oooooooooooo00oooooo00?oo`00ooooooooool0LOooool001Wooooo00?o0000
ooooooooool0oooooon7ooooo`03o`00oooooooooooo00oooooo00?oo`00ooooooooool0L_ooool0
01Wooooo00?o0000ooooooooool0oooooon6ooooo`03o`00oooooooooooo00oooooo00?oo`00oooo
ooooool0Loooool001Wooooo00?o0000ooooooooool0oooooon5ooooo`03o`00oooooooooooo00oo
oooo00?oo`00ooooooooool0M?ooool001Wooooo00?o0000ooooooooool0oooooon4ooooo`03o`00
oooooooooooo00oooooo00?oo`00ooooooooool0MOooool001Wooooo00?o0000ooooooooool0oooo
oon3ooooo`03o`00oooooooooooo00oooooo00?oo`00ooooooooool0M_ooool001Wooooo00?o0000
ooooooooool0oooooon2ooooo`03o`00oooooooooooo00oooooo00?oo`00ooooooooool0Moooool0
01Wooooo00?o0000ooooooooool0oooooon0ooooo`;o003o4Oooool00ooo003oooooooooo`1hoooo
o`006Oooool00ol0003oooooooooo`3oooooogoooooo00?o003oooooooooool04?ooool00ooo003o
ooooooooo`1iooooo`006Oooool00ol0003oooooooooo`3oooooogkooooo00?o003oooooooooool0
4?ooool00ooo003oooooooooo`1jooooo`006Oooool00ol0003oooooooooo`3ooooooggooooo00?o
003oooooooooool04?ooool00ooo003oooooooooo`1kooooo`006Oooool00ol0003oooooooooo`3o
ooooogcooooo00?o003oooooooooool04?ooool00ooo003oooooooooo`1looooo`000_ooool2o`00
00Cooooo00?o0000ooooooooool00oooool3o`0000Sooooo00?o0000ooooooooool0oooooomkoooo
o`03o`00oooooooooooo013ooooo00?oo`00ooooooooool0OOooool00005ooooool0003ooooooooo
ool000002_ooool00ol0003oooooooooo`07ooooo`03o`000?oooooooooo0?ooooooNOooool2o`00
oa;ooooo00?oo`00ooooooooool0O_ooool00005ooooool0003oooooooooool000001oooool5o`00
00Sooooo1?l0003oooooogOooooo00?o003oooooooooool04Oooool00ooo003oooooooooo`1ooooo
o`0000Goooooo`000?ooooooooooo`000007ooooo`04o`000?ooooooooooo`0000Wooooo00?o0000
ooooooooool0oooooomgooooo`03o`00oooooooooooo017ooooo00?oo`00ooooooooool0P?ooool0
0005ooooool0003oooooooooool000002?ooool00ol0003oooooo`000009ooooo`03o`000?oooooo
oooo0?ooooooM_ooool00ol00?ooooooooooo`0Aooooo`03ool00?oooooooooo087ooooo00001Ooo
oooo0000oooooooooooo000000Wooooo0_l00009ooooo`03o`000?oooooooooo0?ooooooMOooool0
0ol00?ooooooooooo`0Aooooo`03ool00?oooooooooo08;ooooo0002ooooo`;o00002oooool00ol0
003oooooooooo`07ooooo`03o`000?oooooooooo0?ooooooM?ooool00ol00?ooooooooooo`0Aoooo
o`03ool00?oooooooooo08?ooooo000Iooooo`03o`000?oooooooooo0?ooooooLoooool00ol00?oo
ooooooooo`0Aooooo`03ool00?oooooooooo08Cooooo000Iooooo`03o`000?oooooooooo0?oooooo
LOooool2o`00oa?ooooo00?oo`00ooooooooool0QOooool001Wooooo00?o0000ooooooooool0oooo
oom`ooooo`03o`00oooooooooooo01;ooooo00?oo`00ooooooooool0Q_ooool001Wooooo00?o0000
ooooooooool0oooooom_ooooo`03o`00oooooooooooo01;ooooo00?oo`00ooooooooool0Qoooool0
01Wooooo00?o0000ooooooooool0oooooom^ooooo`03o`00oooooooooooo01;ooooo00?oo`00oooo
ooooool0R?ooool001Wooooo00?o0000ooooooooool0oooooom]ooooo`03o`00oooooooooooo01;o
oooo00?oo`00ooooooooool0ROooool001Wooooo00?o0000ooooooooool0oooooom/ooooo`03o`00
oooooooooooo017ooooo0_oo002<ooooo`006Oooool00ol0003oooooooooo`3oooooof[ooooo0_l0
0?lCooooo`03ool00?oooooooooo08cooooo000Iooooo`03o`000?oooooooooo0?ooooooJOooool0
0ol00?ooooooooooo`0Booooo`03ool00?oooooooooo08gooooo000Iooooo`03o`000?oooooooooo
0?ooooooJ?ooool00ol00?ooooooooooo`0Booooo`03ool00?oooooooooo08kooooo000Iooooo`03
o`000?oooooooooo0?ooooooIoooool00ol00?ooooooooooo`0Booooo`03ool00?oooooooooo08oo
oooo000Iooooo`?o0000oooooomVooooo`03o`00oooooooooooo01;ooooo00?oo`00ooooooooool0
T?ooool001Wooooo00?o0000ooooooooool0oooooomUooooo`03o`00oooooooooooo017ooooo0_oo
002Cooooo`006Oooool00ol0003oooooooooo`3oooooof?ooooo0_l00?lCooooo`03ool00?oooooo
oooo09?ooooo000Iooooo`03o`000?oooooooooo0?ooooooH_ooool00ol00?ooooooooooo`0Boooo
o`03ool00?oooooooooo09Cooooo000Iooooo`03o`000?oooooooooo0?ooooooHOooool00ol00?oo
ooooooooo`0Booooo`03ool00?oooooooooo09Gooooo000Iooooo`03o`000?oooooooooo0?oooooo
H?ooool00ol00?ooooooooooo`0Booooo`03ool00?oooooooooo09Kooooo000Iooooo`03o`000?oo
oooooooo0?ooooooGoooool00ol00?ooooooooooo`0Booooo`03ool00?oooooooooo09Oooooo000I
ooooo`03o`000?oooooooooo0?ooooooG_ooool00ol00?ooooooooooo`0Booooo`03ool00?oooooo
oooo09Sooooo000Iooooo`03o`000?oooooooooo0?ooooooGOooool00ol00?ooooooooooo`0Aoooo
o`;oo`00Voooool001Wooooo00?o0000ooooooooool0oooooomKooooo`;o003o4oooool00ooo003o
ooooooooo`2Kooooo`006Oooool00ol0003oooooooooo`3ooooooe[ooooo00?o003oooooooooool0
4_ooool00ooo003oooooooooo`2Looooo`006Oooool00ol0003oooooooooo`3ooooooeWooooo00?o
003oooooooooool04_ooool00ooo003oooooooooo`2Mooooo`006Oooool00ol0003oooooooooo`3o
oooooeSooooo00?o003oooooooooool04_ooool00ooo003oooooooooo`2Nooooo`006Oooool00ol0
003oooooooooo`3ooooooeOooooo00?o003oooooooooool04_ooool00ooo003oooooooooo`2Ooooo
o`006Oooool00ol0003oooooooooo`3ooooooeKooooo00?o003oooooooooool04Oooool2ool00:;o
oooo000Iooooo`03o`000?oooooooooo0?ooooooE?ooool2o`00oa?ooooo00?oo`00ooooooooool0
X_ooool001Wooooo0ol0003ooooooe?ooooo00?o003oooooooooool04_ooool00ooo003ooooooooo
o`2Sooooo`006Oooool00ol0003oooooooooo`3ooooooe;ooooo00?o003oooooooooool04_ooool0
0ooo003oooooooooo`2Tooooo`006Oooool00ol0003oooooooooo`3ooooooe7ooooo00?o003ooooo
ooooool04Oooool2ool00:Oooooo000Iooooo`03o`000?oooooooooo0?ooooooD?ooool00ol00?oo
ooooooooo`0Aooooo`03ool00?oooooooooo0:Oooooo000Iooooo`03o`000?oooooooooo0?oooooo
Coooool00ol00?ooooooooooo`0Aooooo`03ool00?oooooooooo0:Sooooo000Iooooo`03o`000?oo
oooooooo0?ooooooCOooool2o`00oa?ooooo00?oo`00ooooooooool0ZOooool001Wooooo00?o0000
ooooooooool0oooooom<ooooo`03o`00oooooooooooo01;ooooo00?oo`00ooooooooool0Z_ooool0
01Wooooo00?o0000ooooooooool0oooooom;ooooo`03o`00oooooooooooo017ooooo0_oo002]oooo
o`006Oooool00ol0003oooooooooo`3ooooood[ooooo00?o003oooooooooool04Oooool00ooo003o
ooooooooo`2]ooooo`006Oooool00ol0003oooooooooo`3oooooodWooooo00?o003oooooooooool0
4Oooool00ooo003oooooooooo`2^ooooo`006Oooool00ol0003oooooooooo`3oooooodOooooo0_l0
0?lCooooo`03ool00?oooooooooo0:oooooo000Iooooo`03o`000?oooooooooo0?ooooooA_ooool0
0ol00?ooooooooooo`0Aooooo`;oo`00/_ooool001Wooooo00?o0000ooooooooool0oooooom5oooo
o`03o`00oooooooooooo017ooooo00?oo`00ooooooooool0/_ooool001Wooooo00?o0000oooooooo
ool0oooooom4ooooo`03o`00oooooooooooo017ooooo00?oo`00ooooooooool0/oooool001Wooooo
00?o0000ooooooooool0oooooom3ooooo`03o`00oooooooooooo017ooooo00?oo`00ooooooooool0
]?ooool001Wooooo00?o0000ooooooooool0oooooom2ooooo`03o`00oooooooooooo017ooooo00?o
o`00ooooooooool0]Oooool001Wooooo0ol0003ooooood3ooooo0_l00?lBooooo`;oo`00^?ooool0
01Wooooo00?o0000ooooooooool0ooooooloooooo`03o`00oooooooooooo017ooooo00?oo`00oooo
ooooool0^?ooool001Wooooo00?o0000ooooooooool0oooooolnooooo`03o`00oooooooooooo017o
oooo00?oo`00ooooooooool0^Oooool001Wooooo00?o0000ooooooooool0oooooollooooo`;o003o
4oooool00ooo003oooooooooo`2jooooo`006Oooool00ol0003oooooooooo`3ooooooc_ooooo00?o
003oooooooooool04_ooool00ooo003oooooooooo`2kooooo`006Oooool00ol0003oooooooooo`3o
oooooc[ooooo00?o003oooooooooool04_ooool00ooo003oooooooooo`2looooo`006Oooool00ol0
003oooooooooo`3oooooocWooooo00?o003oooooooooool04Oooool2ool00;oooooo000Iooooo`03
o`000?oooooooooo0?oooooo=oooool2o`00oa?ooooo00?oo`00ooooooooool0_oooool001Wooooo
00?o0000ooooooooool0oooooolfooooo`03o`00oooooooooooo01;ooooo00?oo`00ooooooooool0
`?ooool001Wooooo00?o0000ooooooooool0ooooooleooooo`03o`00oooooooooooo01;ooooo00?o
o`00ooooooooool0`Oooool001Wooooo00?o0000ooooooooool0oooooolcooooo`;o003o5?ooool0
0ooo003oooooooooo`32ooooo`006Oooool00ol0003oooooooooo`3ooooooc;ooooo00?o003ooooo
ooooool04_ooool2ool00<Gooooo000Iooooo`03o`000?oooooooooo0?oooooo<Oooool00ol00?oo
ooooooooo`0Booooo`03ool00?oooooooooo0<Gooooo0002ooooo`;o00001?ooool00ol0003ooooo
ooooo`02ooooo`?o00002Oooool00ol0003oooooooooo`3ooooooc3ooooo00?o003oooooooooool0
4_ooool00ooo003oooooooooo`36ooooo`0000Goooooo`000?ooooooooooo`000007ooooo`05o`00
0?ooooooooooooooool000002?ooool00ol0003oooooooooo`3oooooobkooooo0_l00?lDooooo`03
ool00?oooooooooo0<Oooooo00001Ooooooo0000oooooooooooo000000Oooooo00Go0000oooooooo
ooooooooo`000008ooooo`03o`000?oooooooooo0?oooooo;Oooool00ol00?ooooooooooo`0Coooo
o`03ool00?oooooooooo0<Sooooo00001Ooooooo0000oooooooooooo000000Oooooo1?l00009oooo
o`Co0000ooooool[ooooo`03o`00oooooooooooo01?ooooo00?oo`00ooooooooool0bOooool00005
ooooool0003oooooooooool000001oooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo
0?oooooo:_ooool2o`00oaCooooo0_oo003<ooooo`0000Goooooo`000?ooooooooooo`000008oooo
o`03o`000?oooooooooo00Wooooo00?o0000ooooooooool0oooooolYooooo`03o`00oooooooooooo
01?ooooo00?oo`00ooooooooool0c?ooool000;ooooo0_l0000:ooooo`;o00002Oooool00ol0003o
ooooooooo`3oooooobSooooo00?o003oooooooooool04oooool00ooo003oooooooooo`3=ooooo`00
6Oooool00ol0003oooooooooo`3oooooobKooooo0_l00?lDooooo`;oo`00d?ooool001Wooooo00?o
0000ooooooooool0oooooolUooooo`03o`00oooooooooooo01?ooooo00?oo`00ooooooooool0d?oo
ool001Wooooo00?o0000ooooooooool0oooooolTooooo`03o`00oooooooooooo01;ooooo0_oo003C
ooooo`006Oooool00ol0003oooooooooo`3oooooob?ooooo00?o003oooooooooool04_ooool00ooo
003oooooooooo`3Cooooo`006Oooool00ol0003oooooooooo`3oooooob7ooooo0_l00?lDooooo`03
ool00?oooooooooo0=Cooooo000Iooooo`03o`000?oooooooooo0?oooooo8?ooool00ol00?oooooo
ooooo`0Booooo`;oo`00eoooool001Wooooo00?o0000ooooooooool0oooooolOooooo`03o`00oooo
oooooooo01;ooooo00?oo`00ooooooooool0eoooool001Wooooo00?o0000ooooooooool0oooooolM
ooooo`;o003o5?ooool00ooo003oooooooooo`3Hooooo`006Oooool00ol0003oooooooooo`3ooooo
oacooooo00?o003oooooooooool04_ooool2ool00=_ooooo000Iooooo`03o`000?oooooooooo0?oo
oooo6oooool00ol00?ooooooooooo`0Booooo`03ool00?oooooooooo0=_ooooo000Iooooo`03o`00
0?oooooooooo0?oooooo6_ooool00ol00?ooooooooooo`0Aooooo`;oo`00g_ooool001Wooooo00?o
0000ooooooooool0oooooolHooooo`;o003o4oooool00ooo003oooooooooo`3Nooooo`006Oooool3
o`000?oooooo5oooool00ol00?ooooooooooo`0Booooo`03ool00?oooooooooo0=oooooo000Ioooo
o`03o`000?oooooooooo0?oooooo5_ooool00ol00?ooooooooooo`0Aooooo`;oo`00h_ooool001Wo
oooo00?o0000ooooooooool0oooooolDooooo`;o003o4oooool00ooo003oooooooooo`3Rooooo`00
6Oooool00ol0003oooooooooo`3ooooooa?ooooo00?o003oooooooooool04_ooool00ooo003ooooo
ooooo`3Sooooo`006Oooool00ol0003oooooooooo`3ooooooa7ooooo0_l00?lCooooo`;oo`00i_oo
ool001Wooooo00?o0000ooooooooool0ooooool@ooooo`03o`00oooooooooooo01;ooooo00?oo`00
ooooooooool0i_ooool001Wooooo00?o0000ooooooooool0ooooool?ooooo`03o`00oooooooooooo
017ooooo0_oo003Yooooo`006Oooool00ol0003oooooooooo`3oooooo`gooooo0_l00?lCooooo`03
ool00?oooooooooo0>Wooooo000Iooooo`03o`000?oooooooooo0?oooooo3?ooool00ol00?oooooo
ooooo`0Booooo`03ool00?oooooooooo0>[ooooo000Iooooo`03o`000?oooooooooo0?oooooo2_oo
ool2o`00oa?ooooo0_oo003]ooooo`006Oooool00ol0003oooooooooo`3oooooo`Wooooo00?o003o
ooooooooool04_ooool00ooo003oooooooooo`3]ooooo`006Oooool00ol0003oooooooooo`3ooooo
o`Sooooo00?o003oooooooooool04_ooool00ooo003oooooooooo`3^ooooo`006Oooool00ol0003o
ooooooooo`3oooooo`Kooooo0_l00?lCooooo`;oo`00lOooool001Wooooo00?o0000ooooooooool0
ooooool5ooooo`03o`00oooooooooooo01;ooooo00?oo`00ooooooooool0lOooool001Wooooo00?o
0000ooooooooool0ooooool3ooooo`;o003o4oooool2ool00?Cooooo000Iooooo`?o0000ooooool2
ooooo`03o`00oooooooooooo01;ooooo00?oo`00ooooooooool0m?ooool001Wooooo00?o0000oooo
ooooool0ooooool1ooooo`03o`00oooooooooooo01;ooooo00?oo`00ooooooooool0mOooool001Wo
oooo00?o0000ooooooooool0o_ooool2o`00oa?ooooo0_oo003hooooo`006Oooool00ol0003ooooo
ooooo`3mooooo`03o`00oooooooooooo01;ooooo00?oo`00ooooooooool0n?ooool001Wooooo00?o
0000ooooooooool0noooool2o`00oa?ooooo0_oo003kooooo`006Oooool00ol0003oooooooooo`3i
ooooo`;o003o4oooool2ool00?gooooo000Iooooo`03o`000?oooooooooo0?Sooooo00?o003ooooo
ooooool04_ooool00ooo003oooooooooo`3mooooo`006Oooool00ol0003oooooooooo`3fooooo`;o
003o4oooool2ool00?oooooo0Oooool001Wooooo00?o0000ooooooooool0mOooool00ol00?oooooo
ooooo`0Aooooo`;oo`00ooooool3ooooo`006Oooool00ol0003oooooooooo`3cooooo`;o003o4ooo
ool00ooo003oooooooooo`3oooooo`?ooooo000Iooooo`03o`000?oooooooooo0?;ooooo00?o003o
ooooooooool04Oooool2ool00?oooooo1_ooool001Wooooo00?o0000ooooooooool0l?ooool2o`00
oa?ooooo00?oo`00ooooooooool0ooooool6ooooo`006Oooool00ol0003oooooooooo`3^ooooo`;o
003o4oooool2ool00?oooooo2Oooool001Wooooo00?o0000ooooooooool0kOooool00ol00?oooooo
ooooo`0Aooooo`;oo`00ooooool;ooooo`006Oooool00ol0003oooooooooo`3[ooooo`;o003o4ooo
ool00ooo003oooooooooo`3oooooo`_ooooo000Iooooo`03o`000?oooooooooo0>[ooooo00?o003o
ooooooooool04Oooool2ool00?oooooo3_ooool001Wooooo0ol0003Xooooo`;o003o4_ooool2ool0
0?oooooo4?ooool001Wooooo00?o0000ooooooooool0ioooool00ol00?ooooooooooo`0Aooooo`03
ool00?oooooooooo0?oooooo4?ooool001Wooooo00?o0000ooooooooool0iOooool2o`00oa;ooooo
0_oo003ooooooa?ooooo000Iooooo`03o`000?oooooooooo0>Cooooo00?o003oooooooooool04?oo
ool2ool00?oooooo5Oooool001Wooooo00?o0000ooooooooool0h_ooool2o`00oa;ooooo00?oo`00
ooooooooool0oooooolEooooo`006Oooool00ol0003oooooooooo`3Qooooo`03o`00oooooooooooo
013ooooo0_oo003ooooooaSooooo000Iooooo`03o`000?oooooooooo0=oooooo0_l00?lAooooo`;o
o`00oooooolJooooo`006Oooool00ol0003oooooooooo`3Mooooo`;o003o4_ooool00ooo003ooooo
ooooo`3ooooooa[ooooo000Iooooo`03o`000?oooooooooo0=cooooo00?o003oooooooooool04?oo
ool2ool00?oooooo7Oooool001Wooooo00?o0000ooooooooool0f_ooool2o`00oa7ooooo0_oo003o
oooooaoooooo000Iooooo`03o`000?oooooooooo0=Wooooo00?o003oooooooooool04?ooool00ooo
003oooooooooo`3ooooooaoooooo000Iooooo`03o`000?oooooooooo0=Oooooo0_l00?lAooooo`;o
o`00oooooolRooooo`006Oooool00ol0003oooooooooo`3Fooooo`03o`00oooooooooooo00oooooo
0_oo003oooooobCooooo000Iooooo`03o`000?oooooooooo0=Cooooo0_l00?l@ooooo`;oo`00oooo
oolVooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3o`0000Wooooo00?o0000
ooooooooool0d_ooool2o`00oa3ooooo0_oo003oooooobSooooo00001Ooooooo0000oooooooooooo
000000Oooooo00Go0000ooooooooooooooooo`000008ooooo`03o`000?oooooooooo0=7ooooo00?o
003oooooooooool03oooool00ooo003oooooooooo`3oooooobSooooo00001Ooooooo0000oooooooo
oooo000000Oooooo00Go0000ooooooooooooooooo`000008ooooo`Co0000c_ooool2o`00oa3ooooo
0_oo003oooooob_ooooo00001Ooooooo0000oooooooooooo000000Sooooo0ol00009ooooo`03o`00
0?oooooooooo0<gooooo0_l00?l@ooooo`;oo`00ooooool]ooooo`0000Goooooo`000?oooooooooo
o`000007ooooo`05o`000?ooooooooooooooool000002?ooool00ol0003oooooooooo`3;ooooo`;o
003o4?ooool2ool00?oooooo;oooool00005ooooool0003oooooooooool000001oooool01Ol0003o
oooooooooooooooo000000Sooooo00?o0000ooooooooool0b_ooool00ol00?ooooooooooo`0>oooo
o`;oo`00oooooolaooooo`000_ooool2o`0000Wooooo0ol00009ooooo`03o`000?oooooooooo0<So
oooo0_l00?l@ooooo`03ool00?oooooooooo0?oooooo<Oooool001Wooooo00?o0000ooooooooool0
a_ooool2o`00oa3ooooo0_oo003oooooocCooooo000Iooooo`03o`000?oooooooooo0<Cooooo0_l0
0?l@ooooo`;oo`00oooooolfooooo`006Oooool00ol0003oooooooooo`33ooooo`03o`00oooooooo
oooo00kooooo0_oo003oooooocSooooo000Iooooo`03o`000?oooooooooo0<7ooooo0_l00?l?oooo
o`;oo`00ooooooljooooo`006Oooool00ol0003oooooooooo`2oooooo`;o003o3oooool2ool00?oo
oooo??ooool001Wooooo00?o0000ooooooooool0_Oooool2o`00o`oooooo0_oo003oooooockooooo
000Iooooo`03o`000?oooooooooo0;_ooooo0_l00?l?ooooo`;oo`00oooooom0ooooo`006Oooool0
0ol0003oooooooooo`2iooooo`;o003o3oooool2ool00?oooooo@_ooool001Wooooo00?o0000oooo
ooooool0]oooool2o`00oa3ooooo00?oo`00ooooooooool0oooooom2ooooo`006Oooool00ol0003o
ooooooooo`2eooooo`;o003o4?ooool2ool00?ooooooAOooool001Wooooo00?o0000ooooooooool0
/oooool2o`00oa3ooooo0_oo003oooooodOooooo000Iooooo`?o0000/Oooool2o`00oa3ooooo0_oo
003oooooodWooooo000Iooooo`03o`000?oooooooooo0:oooooo0_l00?l@ooooo`;oo`00oooooom;
ooooo`006Oooool00ol0003oooooooooo`2]ooooo`;o003o4?ooool2ool00?ooooooCOooool001Wo
oooo00?o0000ooooooooool0Zoooool2o`00oa3ooooo0_oo003oooooodoooooo000Iooooo`03o`00
0?oooooooooo0:Wooooo0_l00?l?ooooo`?oo`00oooooomAooooo`006Oooool00ol0003ooooooooo
o`2Wooooo`;o003o3oooool2ool00?ooooooE?ooool001Wooooo00?o0000ooooooooool0YOooool2
o`00o`oooooo0_oo003ooooooeKooooo000Iooooo`03o`000?oooooooooo0:?ooooo0_l00?l?oooo
o`;oo`00oooooomHooooo`006Oooool00ol0003oooooooooo`2Qooooo`;o003o3oooool2ool00?oo
ooooF_ooool001Wooooo00?o0000ooooooooool0W_ooool3o`00o`kooooo0ooo003ooooooecooooo
000Iooooo`03o`000?oooooooooo09cooooo0_l00?l?ooooo`;oo`00oooooomOooooo`006Oooool0
0ol0003oooooooooo`2Jooooo`;o003o3oooool2ool00?ooooooHOooool001Wooooo00?o0000oooo
ooooool0V?ooool2o`00o`oooooo0_oo003oooooof?ooooo000Iooooo`03o`000?oooooooooo09Ko
oooo0_l00?l>ooooo`?oo`00oooooomUooooo`006Oooool00ol0003oooooooooo`2Dooooo`;o003o
3Oooool3ool00?ooooooJ?ooool001Wooooo00?o0000ooooooooool0TOooool3o`00o`gooooo0_oo
003oooooof_ooooo000Iooooo`?o0000Soooool2o`00o`gooooo0ooo003oooooofgooooo000Ioooo
o`03o`000?oooooooooo08cooooo0ol00?l=ooooo`;oo`00oooooom`ooooo`006Oooool00ol0003o
ooooooooo`2:ooooo`;o003o3Oooool3ool00?ooooooL_ooool001Wooooo00?o0000ooooooooool0
R?ooool2o`00o`cooooo0ooo003oooooogGooooo000Iooooo`03o`000?oooooooooo08Gooooo0ol0
0?l;ooooo`?oo`00oooooomhooooo`006Oooool00ol0003oooooooooo`23ooooo`;o003o2oooool3
ool00?ooooooNoooool001Wooooo00?o0000ooooooooool0P?ooool3o`00o`[ooooo0ooo003ooooo
ogkooooo000Iooooo`03o`000?oooooooooo07gooooo0ol00?l:ooooo`?oo`00oooooon1ooooo`00
6Oooool00ol0003oooooooooo`1jooooo`?o003o2_ooool3ool00?ooooooQ?ooool001Wooooo00?o
0000ooooooooool0Moooool3o`00o`[ooooo0ooo003oooooohOooooo000Iooooo`03o`000?oooooo
oooo07Cooooo0ol00?l:ooooo`?oo`00oooooon:ooooo`006Oooool00ol0003oooooooooo`1aoooo
o`?o003o2Oooool4ool00?ooooooSOooool001Wooooo00?o0000ooooooooool0K_ooool3o`00o`Wo
oooo0ooo003ooooooi7ooooo000Iooooo`03o`000?oooooooooo06_ooooo0ol00?l9ooooo`?oo`00
oooooonDooooo`006Oooool00ol0003oooooooooo`1Wooooo`Co003o2Oooool3ool00?ooooooUooo
ool001Wooooo00?o0000ooooooooool0I?ooool3o`00o`[ooooo0ooo003ooooooi[ooooo000Ioooo
o`?o0000H?ooool4o`00o`[ooooo0ooo003ooooooigooooo000Iooooo`03o`000?oooooooooo05go
oooo0ol00?l;ooooo`?oo`00oooooonPooooo`006Oooool00ol0003oooooooooo`1Iooooo`Co003o
2_ooool4ool00?ooooooXoooool001Wooooo00?o0000ooooooooool0E_ooool3o`00o`[ooooo1?oo
003oooooojOooooo000Iooooo`03o`000?oooooooooo05;ooooo1?l00?l8ooooo`Goo`00oooooon[
ooooo`006Oooool00ol0003oooooooooo`1=ooooo`Go003o2?ooool4ool00?oooooo/?ooool001Wo
oooo00?o0000ooooooooool0BOooool4o`00o`Wooooo1?oo003ooooookCooooo000Iooooo`03o`00
0?oooooooooo04Gooooo1?l00?l8ooooo`Goo`00oooooonhooooo`006Oooool00ol0003ooooooooo
o`10ooooo`Go003o1oooool5ool00?oooooo_Oooool001Wooooo00?o0000ooooooooool0>oooool5
o`00o`Kooooo1_oo003ooooool;ooooo000Iooooo`03o`000?oooooooooo03Kooooo1Ol00?l6oooo
o`Goo`00ooooooo8ooooo`006Oooool00ol0003oooooooooo`0aooooo`Go003o0oooool8ool00?oo
oooocOooool001Wooooo00?o0000ooooooooool0;?ooool2o`00o`_oo`00oooooooEooooo`003Ooo
ool3o`0000Wooooo00?o0000ooooooooool08oooool;ool00?ooooooh?ooool000kooooo00?o0000
ooooooooool02?ooool00ol0003oooooooooo`0Kooooo`Soo`00ooooooo[ooooo`003_ooool00ol0
003oooooooooo`08ooooo`03o`000?oooooooooo00Cooooo0_l00?lEool00?ooooooloooool000ko
oooo00?o0000ooooooooool02?ooool9ool00?ooooooooooool9ooooo`003_ooool00ol0003ooooo
ooooo`08ooooo`03o`000?oooooooooo0?ooooooooooool?ooooo`003Oooool2o`0000[ooooo00?o
0000ooooooooool0ooooooooooooo`oooooo000>ooooo`03o`000?oooooooooo00Sooooo00?o0000
ooooooooool0ooooooooooooo`oooooo000Iooooo`03o`000?oooooooooo0?ooooooooooool?oooo
o`006Oooool00ol0003oooooooooo`3ooooooooooooo3oooool001Wooooo00?o0000ooooooooool0
ooooooooooooo`oooooo000Iooooo`03o`000?oooooooooo0?ooooooooooool?ooooo`00\
\>"],
  ImageRangeCache->{{{0, 552}, {340.625, 0}} -> {-0.0497591, -0.0496274, \
0.00194981, 0.00315486}}],

Cell[BoxData[
    FormBox[
      TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
        False,
        Editable->False], TraditionalForm]], "Output"]
}, Open  ]],

Cell[BoxData[
    \(\(MyInte4[f_, xlims_, ylims_, 
          nev_] := \[IndentingNewLine]Module[{sig, eff, noin, count, xi, sum, 
            max}, \[IndentingNewLine] (*\ 
            do\ the\ unweighting\ *) \[IndentingNewLine]sum = 
            0; \[IndentingNewLine]count = 0; \[IndentingNewLine]noin = 
            0; \[IndentingNewLine]deltarho = 2/3; \[IndentingNewLine]deltax = 
            Abs[xlims[\([2]\)] - xlims[\([1]\)]]; \[IndentingNewLine]deltay = 
            Abs[ylims[\([2]\)] - ylims[\([1]\)]]; \[IndentingNewLine]While[
            count < nev, \[IndentingNewLine]rhoi = 
              deltarho*Random[]; \[IndentingNewLine]\ 
            xi = Chop[Gi[rhoi]]; \ \[IndentingNewLine]yi = 
              Random[]; \[IndentingNewLine]If[
              f[xi] > yi*g[xi], \[IndentingNewLine]sum = 
                sum + 1, \[IndentingNewLine]noin = 
                noin + 1]; \[IndentingNewLine]\ \ count = 
              count + 1]; \[IndentingNewLine]sum = 
            sum/nev*Integrate[g[x], {x, 0, 1}]; \[IndentingNewLine]sig = 
            sum; \[IndentingNewLine]eff = \ 
            count/\((count + noin)\) // 
              N; \[IndentingNewLine]Return[{sum // N, sig // N, 
              eff}]];\)\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(f[x_] := Cos[Pi/2\ x];\)\), "\[IndentingNewLine]", 
    \(\(xlow = 0;\)\), "\[IndentingNewLine]", 
    \(\(xup = 1;\)\), "\[IndentingNewLine]", 
    \(\(Print["\<Analytic Result : \>", 
        Integrate[f[x], {x, xlow, xup}] // N];\)\), "\[IndentingNewLine]", 
    \(\(events = 10000;\)\), "\[IndentingNewLine]", 
    \(\({res, sig, eff} = 
        MyInte4[f, {xlow, xup}, {0, 1}, events];\)\), "\[IndentingNewLine]", 
    \(\(Print["\<MC result :\>", res, \ "\< +- \>", sig, "\</Sqrt[\>", 
        events, "\<], eff = \>", eff];\)\)}], "Input"],

Cell[BoxData[
    FormBox[
      InterpretationBox[\("Analytic Result : \
"\[InvisibleSpace]0.6366197723675814`\),
        SequenceForm[ "Analytic Result : ", 0.63661977236758138],
        Editable->False], TraditionalForm]], "Print"],

Cell[BoxData[
    FormBox[
      InterpretationBox[\("MC result :"\[InvisibleSpace]0.636`\
\[InvisibleSpace]" +- "\[InvisibleSpace]0.636`\[InvisibleSpace]"/Sqrt["\
\[InvisibleSpace]10000\[InvisibleSpace]"], eff = \
"\[InvisibleSpace]0.9560229445506692`\),
        SequenceForm[ 
        "MC result :", 0.63600000000000001, " +- ", 0.63600000000000001, 
          "/Sqrt[", 10000, "], eff = ", 0.95602294455066916],
        Editable->False], TraditionalForm]], "Print"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{

Cell["Dimensionality of the phase space of 1-> n particles", "Section"],

Cell[BoxData[
    \(\(Ndim = Nparticles*3 - 4;\)\)], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["Useful functions", "Section"],

Cell[CellGroupData[{

Cell["Scalar product between four momenta  {E,px,py,pz}.", "Subsubsection"],

Cell[BoxData[
    \(\(SP[p1_, p2_] := 
        Module[{res}, \[IndentingNewLine]res = 
            p1[\([1]\)]*p2[\([1]\)] - p1[\([2]\)]*p2[\([2]\)] - 
              p1[\([3]\)]*p2[\([3]\)] - 
              p1[\([4]\)]*p2[\([4]\)]; \[IndentingNewLine]Return[
            res]];\)\)], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
Cos(theta), where theta is the angle between two spatial components \
of two four momenta:\
\>", "Subsubsection"],

Cell[BoxData[
    \(\(CosTheta[p1_, p2_] := 
        Module[{res, l1, l2}, \[IndentingNewLine]res = 
            p1[\([2]\)]*p2[\([2]\)] + p1[\([3]\)]*p2[\([3]\)] + 
              p1[\([4]\)]*p2[\([4]\)]; \[IndentingNewLine]l1 = 
            Sqrt[p1[\([2]\)]*p1[\([2]\)] + p1[\([3]\)]*p1[\([3]\)] + 
                p1[\([4]\)]*p1[\([4]\)]]; \[IndentingNewLine]l2 = 
            Sqrt[p2[\([2]\)]*p2[\([2]\)] + p2[\([3]\)]*p2[\([3]\)] + 
                p2[\([4]\)]*p2[\([4]\)]]; \[IndentingNewLine]If[
            l1*l2 =!= 0, \[IndentingNewLine]res = \(res/l1\)/l2, 
            res = 0]; \[IndentingNewLine]Return[res]];\)\)], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
Boost: it boosts the four momentum P from the frame S to the frame \
S' of Q. The frame S is where Q is of the form {E,0,0,0}. It returns the four \
momentum P'.\
\>", "Subsubsection"],

Cell[BoxData[
    \(\(BOOST[P_, Q_] := 
        Module[{Q2, QP, M, TEMP, POUT}, \[IndentingNewLine]POUT = 
            Table[0, {i, 1, 4}]; \[IndentingNewLine]Q2 = 
            Q[\([2]\)]^2 + Q[\([3]\)]^2 + 
              Q[\([4]\)]^2; \[IndentingNewLine]QP = 
            Q[\([2]\)]*P[\([2]\)] + Q[\([3]\)]*P[\([3]\)] + 
              Q[\([4]\)]*P[\([4]\)]; \[IndentingNewLine]M = 
            Sqrt[Q[\([1]\)]^2 - 
                Q2]; \[IndentingNewLine]POUT[\([1]\)] = \((Q[\([1]\)]*
                    P[\([1]\)] + QP)\)/M; \[IndentingNewLine]If[
            Q2 =!= 0, \[IndentingNewLine]\(TEMP = \((P[\([1]\)] + \
\((Q[\([1]\)] - M)\)\ QP/Q2)\)/M;\), \[IndentingNewLine]\(TEMP = 
                0;\)]; \[IndentingNewLine]POUT[\([2]\)] = 
            TEMP\ Q[\([2]\)] + P[\([2]\)]; \[IndentingNewLine]POUT[\([3]\)] = 
            TEMP\ Q[\([3]\)] + P[\([3]\)]; \[IndentingNewLine]POUT[\([4]\)] = 
            TEMP\ Q[\([4]\)] + P[\([4]\)]; \[IndentingNewLine]Return[
            POUT]];\)\)], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
MO2CX: It calculates the two four-momenta P1 and P2, of masses m1 \
and m2, with total energy esum, in a given direction (theta,phi), in their \
rest frame. \
\>", "Subsubsection"],

Cell[BoxData[
    \(\(MOM2CX[esum_, m1_, m2_, costh1_, phi1_] := 
        Module[{E1, E2, P, SIN1, P1, P2}, \[IndentingNewLine]E1 = 
            1/2\ esum\ \((1 + \ \((m1^2 - m2^2)\)/
                    esum^2)\); \[IndentingNewLine]E2 = 
            1/2\ esum\ \((1 - \ \((m1^2 - m2^2)\)/
                    esum^2)\); \[IndentingNewLine]P\ \  = 
            1/2\ esum\ Sqrt[\((1 - 
                    2\ \((m1^2 + m2^2)\)/esum^2 + \((m1^2 - m2^2)\)^2/
                      esum^4)\)]; \[IndentingNewLine]SIN1 = 
            Sqrt[1 - costh1^2]; \[IndentingNewLine]P1 = {E1, 
              P\ SIN1\ Cos[phi1], \ P\ SIN1\ Sin[phi1], \ 
              P\ costh1}; \[IndentingNewLine]P2 = {E2, \(-P\)\ SIN1\ Cos[
                  phi1], \ \(-P\)\ SIN1\ Sin[
                  phi1], \ \(-P\)\ costh1}; \[IndentingNewLine]Return[{P1 // 
                N, P2 // N}]];\)\)], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
Transpole: given x distributed uniform in [0,1] it returns a \
Breit-Wigner distribution, centered in \"pole\" with \"width\".
It also returns the jacobian of the transformation.\
\>", "Subsubsection"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(Transpole[pole_, width_, x_] := 
        Module[{zmin, zmax, z, y, jac}, \[IndentingNewLine]zmin = 
            ArcTan[\((\(-pole\))\)/width]/width; \[IndentingNewLine]zmax = 
            ArcTan[\((1 - pole)\)/width]/width; \[IndentingNewLine]z = 
            zmin + \((zmax - zmin)\)*x; \[IndentingNewLine]y = 
            pole + width*
                Tan[width*z]; \[IndentingNewLine]jac = \((width/
                    Cos[width*z])\)^2 \((zmax - 
                  zmin)\); \[IndentingNewLine]Return[{y, jac}]];\)\)], "Input"],

Cell[BoxData[
    FormBox[
      RowBox[{\(General::"spell1"\), \(\(:\)\(\ \)\), "\<\"Possible spelling \
error: new symbol name \\\"\\!\\(TraditionalForm\\`Transpole\\)\\\" is \
similar to existing symbol \
\\\"\\!\\(TraditionalForm\\`Transpose\\)\\\".\"\>"}], 
      TraditionalForm]], "Message"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
Phase space maeasure for two particle decay, with masses ma and \
mb\
\>", "Subsubsection"],

Cell[BoxData[
    \(\(lambda[s_, ma2_, mb2_] := 
        s^2 + ma2^2 + mb2^2 - 2  s\ ma2 - 2\ ma2\ mb2 - 
          2\ s\ mb2;\)\)], "Input"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["Install Vegas", "Section"],

Cell["\<\
I use the  Vegas package of CUBA library of T. Hahn \
(hep-ph/0404043). If you do not want to use it, use NIntegrate instead of \
Vegas\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Install["\</Users/fabiomaltoni/Physics/Codes/CUBA/VegasX\>"]\)], "Input"],

Cell[BoxData[
    \(TraditionalForm\`LinkObject[
      "/Users/fabiomaltoni/Physics/Codes/CUBA/VegasX", 2, 2]\)], "Output"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{

Cell["Top decay ", "Section"],

Cell[CellGroupData[{

Cell["\<\
Generates the phase space of 3 particles, by iteration of the 1->2 \
decay:
t-> w b, w-> lv. 

INPUT:
x: an array of length 5 which contains the random numbers in [0,1].
p1: four momentum of the decaying particle (top).
params: an array which contains the masses of the final state particles and \
the width of the W {mw,gw,mb,ml,mv}.
BW: is a logical value. If true the Breit-Wigner is \"flattened out\" through \
an analytic transformation realized
by Transpole. If false, the invariant mass of the W is generated uniformly.

OUTPUT:
The 3 momenta of the final particles and the phase space weight\
\>", \
"Subsubsection"],

Cell[BoxData[
    \(\(Phi3BW[x_, p1_, params_, BW_] := 
        Module[{s, rs, s2, rs2, jac, jacpole, pswgt, costh, phi, costh1, 
            phi1, mb, ml, mv, mw, gw, pw, pb, pl, pv, xa2, 
            xb2}, \[IndentingNewLine]\[IndentingNewLine] (*initialization\
*) \[IndentingNewLine]mw = params[\([1]\)]; \[IndentingNewLine]gw = 
            params[\([2]\)]; \[IndentingNewLine]mb = 
            params[\([3]\)]; \[IndentingNewLine]ml = 
            params[\([4]\)]; \[IndentingNewLine]mv = 
            params[\([5]\)]; \[IndentingNewLine]pw = 
            Table[0, {i, 1, 4}]; \[IndentingNewLine]pb = 
            pw; \[IndentingNewLine]pl = pw; \[IndentingNewLine]pv = 
            pw; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            start\ *) \[IndentingNewLine]s = 
            SP[p1, p1]; \[IndentingNewLine]rs = 
            Sqrt[s]; \[IndentingNewLine]If[
            BW, \[IndentingNewLine] (*\ 
              make\ the\ analytic\ transformation\ *) \[IndentingNewLine]{s2, 
                jacpole} = 
              Transpole[mw^2/s, mw\ gw/s, 
                x[\([3]\)]]; \[IndentingNewLine]s2 = 
              s2*s; \[IndentingNewLine]rs2 = 
              Sqrt[s2]; \[IndentingNewLine]jac = 
              jacpole*s;\[IndentingNewLine], \[IndentingNewLine]\  (*\ 
              generate\ it\ flat\ *) \[IndentingNewLine]s2 = \((s - mb^2)\)*
                  x[\([3]\)] + mb^2; \[IndentingNewLine]rs2 = 
              Sqrt[s2]; \[IndentingNewLine]jac = \((s - 
                  mb^2)\);\[IndentingNewLine]]; \[IndentingNewLine]\
\[IndentingNewLine] (*\ 
            check\ kinematic\ boundaries\ *) \[IndentingNewLine]If[
            rs2 > \((rs - mb)\)\  || \ 
              rs2 < \((ml + mv)\), \[IndentingNewLine]\(Return[
                0];\)]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            generate\ the\ angles\ *) \[IndentingNewLine]costh = \(-1\) + 
              2\ x[\([1]\)]; \[IndentingNewLine]phi = \ 
            2\ Pi\ x[\([2]\)]; \[IndentingNewLine]jac = 
            jac*\ 4\ *Pi; \[IndentingNewLine]costh1 = \(-1\) + 
              2\ x[\([4]\)]; \[IndentingNewLine]phi1 = \ 
            2*Pi*x[\([5]\)]; \[IndentingNewLine]jac = 
            jac*4\ *Pi; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            generate\ the\ four - momenta\ *) \[IndentingNewLine]{pw, pb} = 
            MOM2CX[rs, rs2, mb, costh, phi]; \[IndentingNewLine]{pl, pv} = 
            MOM2CX[rs2, ml, mv, costh1, phi1]; \[IndentingNewLine]pb = 
            BOOST[pb, p1]; \[IndentingNewLine]pw = 
            BOOST[pw, p1]; \[IndentingNewLine]pl = 
            BOOST[pl, pw]; \[IndentingNewLine]pv = 
            BOOST[pv, pw]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            phase\ space\ factors\ *) \[IndentingNewLine]jac = 
            jac/\((2\ Pi)\)^5; \[IndentingNewLine]pswgt = 
            1\ \ \ \  (*\(/\)\((2*rs)\)*) ; \[IndentingNewLine]xa2 = 
            s2/s; \[IndentingNewLine]xb2 = mb^2/s; \[IndentingNewLine]pswgt = 
            pswgt/2*Pi*
              Sqrt[lambda[1, xa2, xb2]]/\((4\ Pi)\); \[IndentingNewLine]xa2 = 
            ml^2/s; \[IndentingNewLine]xb2 = 
            mv^2/s; \[IndentingNewLine]pswgt = 
            pswgt/2*Pi\ Sqrt[
                  lambda[1, xa2, 
                    xb2]]/\((4\ Pi)\); \n\ \ \ \ \[IndentingNewLine] (*final\ \
jacobian*) \[IndentingNewLine]\[IndentingNewLine]\ 
          pswgt = pswgt*
              jac; \[IndentingNewLine]\ \[IndentingNewLine]\ \ Return[{pb, 
              pl, pv, pswgt}];\[IndentingNewLine]\[IndentingNewLine]];\)\)], \
"Input"]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[{
  "Generates the phase space of 3 particles, by iteration of the 1->2 decay:\n\
t-> w b, w-> lv, assuming the w to be exactly on shell. This is the so-called \
narrow-width approximation:\n\n",
  Cell[BoxData[
      \(1\/\((\((q\^2 - \ mW\^2)\)\^2 - \ \(\[CapitalGamma]\^2\) mW\^2)\)\  \
\[Rule] \ \[CapitalPi]\/\(mW\ \[CapitalGamma]\)\ \[Delta] \((q\^2 - 
              mW\^2)\)\)]],
  "\n\nUsing this approximation the number of dimensions of the phase space \
passes from 5 to 4\n\nINPUT:\nx: an array of length 4 which contains the \
random numbers in [0,1].\np1: four momentum of the decaying particle (top).\n\
params: an array which contains the masses of the final state particles and \
the width of the W {mw,mb,ml,mv}.\n\nOUTPUT:\nThe 3 momenta of the final \
particles and the phase space weight."
}], "Subsubsection"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(Phi3NW[x_, p1_, params_] := 
        Module[{s, rs, s2, rs2, jac, jacpole, pswgt, costh, phi, costh1, 
            phi1, mb, ml, mv, mw, gw, pw, pb, pl, pv, xa2, 
            xb2}, \[IndentingNewLine]\[IndentingNewLine] (*initialization\
*) \[IndentingNewLine]\[IndentingNewLine]mw = 
            params[\([1]\)]; \[IndentingNewLine]mb = 
            params[\([2]\)]; \[IndentingNewLine]ml = 
            params[\([3]\)]; \[IndentingNewLine]mv = 
            params[\([4]\)]; \[IndentingNewLine]pw = 
            Table[0, {i, 1, 4}]; \[IndentingNewLine]pb = 
            pw; \[IndentingNewLine]pl = pw; \[IndentingNewLine]pv = 
            pw; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            start\ *) \[IndentingNewLine]\[IndentingNewLine]s = 
            SP[p1, p1]; \[IndentingNewLine]rs = 
            Sqrt[s]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            generate\ the\ angles\ and\ momenta\ for\ the\ t\  \[Rule] \ 
              b\ W\ decay\ *) \[IndentingNewLine]\[IndentingNewLine]costh = \
\(-1\) + 2\ x[\([1]\)]; \[IndentingNewLine]phi = \ 
            2\ Pi\ x[\([2]\)]; \[IndentingNewLine]jac = 
            4\ *Pi; \[IndentingNewLine]{pw, pb} = 
            MOM2CX[rs, mw, mb, costh, phi]; \[IndentingNewLine]pb = 
            BOOST[pb, p1]; \[IndentingNewLine]pw = 
            BOOST[pw, p1]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            generate\ the\ angles\ and\ momenta\ for\ the\ W\  \[Rule] \ 
              l\ ve\ decay\ *) \[IndentingNewLine]\[IndentingNewLine]costh1 = \
\(-1\) + 2\ x[\([3]\)]; \[IndentingNewLine]phi1 = \ 
            2*Pi*x[\([4]\)]; \[IndentingNewLine]jac = 
            jac*4\ *Pi; \[IndentingNewLine]{pl, pv} = 
            MOM2CX[mw, ml, mv, costh1, phi1]; \[IndentingNewLine]pl = 
            BOOST[pl, pw]; \[IndentingNewLine]pv = 
            BOOST[pv, pw]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            phase\ space\ factors\ \
*) \[IndentingNewLine]\[IndentingNewLine]jac = 
            jac/\((2\ Pi)\)^5; \[IndentingNewLine]pswgt = 
            1\ ; \[IndentingNewLine]xa2 = mw^2/s; \[IndentingNewLine]xb2 = 
            mb^2/s; \[IndentingNewLine]pswgt = 
            pswgt/2*Pi*
              Sqrt[lambda[1, xa2, xb2]]/\((4\ Pi)\); \[IndentingNewLine]xa2 = 
            ml^2/s; \[IndentingNewLine]xb2 = 
            mv^2/s; \[IndentingNewLine]pswgt = 
            pswgt/2*Pi\ Sqrt[
                  lambda[1, xa2, 
                    xb2]]/\((4\ Pi)\); \n\ \ \ \ \[IndentingNewLine] (*final\ \
jacobian*) \[IndentingNewLine]\[IndentingNewLine]\ 
          pswgt = pswgt*jac; \[IndentingNewLine]\ \[IndentingNewLine]\ 
          Return[{pb, pl, pv, 
              pswgt}];\[IndentingNewLine]\[IndentingNewLine]];\)\)], "Input"],

Cell[BoxData[
    FormBox[
      RowBox[{\(General::"spell1"\), \(\(:\)\(\ \)\), "\<\"Possible spelling \
error: new symbol name \\\"\\!\\(TraditionalForm\\`Phi3NW\\)\\\" is similar \
to existing symbol \\\"\\!\\(TraditionalForm\\`Phi3BW\\)\\\".\"\>"}], 
      TraditionalForm]], "Message"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[{
  "Function which gives the top width when integrated in the volume ",
  Cell[BoxData[
      \(TraditionalForm\`\([0, 1]\)\^5\)]],
  ".The ",
  Cell[BoxData[
      \(TraditionalForm\`x\_i\)]],
  "are the inputs in [0,1].   \nmethod=\"Plain\", it does not apply the \
\"flattening\" of the BW. method=\"BW\" applies the analytic transformation.\n\
method=\"NW\" uses the narrow width approximation for the phase space (in \
this case the value of x5 is ignored). \nThe value of the matrix element \
squared can be found on the ESW."
}], "Subsubsection"],

Cell[BoxData[
    \(\(\(ff[x1_, x2_, x3_, x4_, x5_, method_] := 
        Module[{xx, 
            aa}, \[IndentingNewLine]\[IndentingNewLine]Which[\
\[IndentingNewLine]\[IndentingNewLine] (*\ 
              does\ not\ make\ the\ analytic\ transformation\ to\ flatten\ \
the\ BW\ *) \[IndentingNewLine]\[IndentingNewLine]\ 
            method\  === "\<Plain\>", \[IndentingNewLine]xx = {x1, x2, x3, 
                x4, x5}; \n\ \ \ \ \ \ \ \ \ \ aa = 
              Phi3BW[xx, ptop, {MW, GW, MB, 0, 0}, 
                False]; \[IndentingNewLine]If[
              aa =!= 0, \[IndentingNewLine]{pb, pl, pv, pswgt} = 
                aa; \n\ \ \ \ \ \ EmmeSq = \(1/2\)/mt\ \ *\ 
                  1/2\ \((8\ Pi\ aw\ )\)^2\ \ SP[ptop, pl]\ *
                  SP[pb, pv]/\((\((SP[pl + pv, pl + pv] - MW^2)\)^2 + 
                        GW^2\ MW^2)\); \n\ \ \ \ \ \ \ gamma = EmmeSq*pswgt;, 
              gamma = 0];\[IndentingNewLine], \[IndentingNewLine]\
\[IndentingNewLine] (*\ 
              make\ the\ analytic\ transformation\ to\ flatten\ the\ BW\ \
*) \[IndentingNewLine]\[IndentingNewLine]method === "\<BW\>", \
\[IndentingNewLine]xx = {x1, x2, x3, x4, x5}; \n\ \ \ \ \ \ \ \ \ \ aa = 
              Phi3BW[xx, ptop, {MW, GW, MB, 0, 0}, 
                True]; \[IndentingNewLine]If[
              aa =!= 0, \[IndentingNewLine]{pb, pl, pv, pswgt} = 
                aa; \n\ \ \ \ \ \ EmmeSq = \(1/2\)/mt\ *\ 
                  1/2\ \((8\ Pi\ aw\ )\)^2\ \ SP[ptop, pl]\ *
                  SP[pb, pv]/\((\((SP[pl + pv, pl + pv] - MW^2)\)^2 + 
                        GW^2\ MW^2)\); \n\ \ \ \ \ \ \ gamma = EmmeSq*pswgt;, 
              gamma = 0];\[IndentingNewLine], \[IndentingNewLine]\
\[IndentingNewLine] (*\ 
              narrow\ width\ approximation\ 1/\((\((q\^2 - \ mW\^2)\)\^2 - \ \
\(\[CapitalGamma]\^2\) 
                          mW\^2)\)\  \[Rule] \ \[CapitalPi]\/\(mW\ \
\[CapitalGamma]\)\ *) \[IndentingNewLine]\[IndentingNewLine]method\  === \ \
"\<NW\>", \[IndentingNewLine]xx = {x1, x2, x3, 
                x4}; \n\ \ \ \ \ \ \ \ \ \ aa = 
              Phi3NW[xx, ptop, {MW, MB, 0, 0}]; \[IndentingNewLine]\ \ If[
              aa =!= 0, \[IndentingNewLine]{pb, pl, pv, pswgt} = 
                aa; \n\ \ \ \ \ \ \ \ \ \ EmmeSq = \(1/2\)/mt\ *1/
                    2\ \((8\ Pi\ aw\ )\)^2\ \ SP[ptop, pl]\ *
                  SP[pb, pv] \(Pi/MW\)/GW; \n\ \ \ \ \ \ \ \ \ gamma = 
                EmmeSq*pswgt;, 
              gamma = 0];\[IndentingNewLine]]; \[IndentingNewLine]Return[
            gamma];\[IndentingNewLine]];\)\(\[IndentingNewLine]\)
    \)\)], "Input"]
}, Open  ]],

Cell[CellGroupData[{

Cell["Parameters entering the top decay", "Subsection"],

Cell[BoxData[{
    \(\(MB = 0;\)\), "\[IndentingNewLine]", 
    \(\(MW = 80.419;\)\), "\[IndentingNewLine]", 
    \(\(GW = 2.0479;\)\), "\[IndentingNewLine]", 
    \(\(MT = 
        174.3;\)\[IndentingNewLine] (*random\ momentum\ for\ the\ top*) \), "\
\[IndentingNewLine]", 
    \(\(ptop = {174.700891, \ 4.98437434, \ 8.1448859\ , 
          6.98055029};\)\ \), "\[IndentingNewLine]", 
    \(\(gw = 0.6532;\)\), "\[IndentingNewLine]", 
    \(\(aw = gw^2/\((4\ Pi)\);\)\)}], "Input"]
}, Open  ]],

Cell[CellGroupData[{

Cell["Calculate the top width", "Subsection"],

Cell["\<\
If you do not have installed the Vegas package of CUBA library of \
T. Hahn (hep-ph/0404043), use NIntegrate instead\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Vegas[
      ff[x1, x2, x3, x4, x5, "\<BW\>"], {x1, 0, 1}, {x2, 0, 1}, {x3, 0, 
        1}, {x4, 0, 1}, {x5, 0, 1}, \ Compiled \[Rule] False, 
      NStart \[Rule] 5000, \ MaxPoints \[Rule] \ 5000]\)], "Input"],

Cell[BoxData[
    \(TraditionalForm\`"\nIteration 1:  5000 integrand evaluations so far\n\
[1] 0.168057 +- 0.00086253  \tchisq -0 (0 df)"\)], "Print"],

Cell[BoxData[
    FormBox[
      RowBox[{\(Vegas::"accuracy"\), \(\(:\)\(\ \)\), "\<\"Desired accuracy \
was not reached within \\!\\(TraditionalForm\\`5000\\) function \
evaluations.\"\>"}], TraditionalForm]], "Message"],

Cell[BoxData[
    FormBox[
      RowBox[{"(", "\[NoBreak]", GridBox[{
            {"0.16805726258108591`", "0.0008625300339694445`", \(-999.`\)}
            },
          ColumnAlignments->{Decimal}], "\[NoBreak]", ")"}], 
      TraditionalForm]], "Output"]
}, Open  ]],

Cell[BoxData[
    \(Vegas[
      ff[x1, x2, x3, x4, x5, "\<NW\>"], {x1, 0, 1}, {x2, 0, 1}, {x3, 0, 
        1}, {x4, 0, 1}, {x5, 0, 1}, \ Compiled \[Rule] False, 
      NStart \[Rule] 5000, \ MaxPoints \[Rule] \ 5000]\)], "Input"],

Cell[BoxData[
    \(Vegas[
      ff[x1, x2, x3, x4, x5, "\<Plain\>"], {x1, 0, 1}, {x2, 0, 1}, {x3, 0, 
        1}, {x4, 0, 1}, {x5, 0, 1}, \ Compiled \[Rule] False, 
      NStart \[Rule] 5000, \ MaxPoints \[Rule] \ 5000]\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Plot[{ff[0.1, 0.2, x1, 0.2, 0.3, "\<Plain\>"], 
        ff[0.1, 0.2, x1, 0.2, 0.3, "\<BW\>"]}, {x1, 0, 1}, \ 
      PlotRange \[Rule] {{0, 1}, {0, 2}}, 
      PlotStyle \[Rule] {{Blue, Thickness[0.005]}, {Red, 
            Thickness[0.005]}}]\)], "Input"],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0 1 0 0.309017 [
[.2 -0.0125 -9 -9 ]
[.2 -0.0125 9 0 ]
[.4 -0.0125 -9 -9 ]
[.4 -0.0125 9 0 ]
[.6 -0.0125 -9 -9 ]
[.6 -0.0125 9 0 ]
[.8 -0.0125 -9 -9 ]
[.8 -0.0125 9 0 ]
[1 -0.0125 -3 -9 ]
[1 -0.0125 3 0 ]
[-0.0125 .07725 -24 -4.5 ]
[-0.0125 .07725 0 4.5 ]
[-0.0125 .15451 -18 -4.5 ]
[-0.0125 .15451 0 4.5 ]
[-0.0125 .23176 -24 -4.5 ]
[-0.0125 .23176 0 4.5 ]
[-0.0125 .30902 -6 -4.5 ]
[-0.0125 .30902 0 4.5 ]
[-0.0125 .38627 -24 -4.5 ]
[-0.0125 .38627 0 4.5 ]
[-0.0125 .46353 -18 -4.5 ]
[-0.0125 .46353 0 4.5 ]
[-0.0125 .54078 -24 -4.5 ]
[-0.0125 .54078 0 4.5 ]
[-0.0125 .61803 -6 -4.5 ]
[-0.0125 .61803 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.2 0 m
.2 .00625 L
s
[(0.2)] .2 -0.0125 0 1 Mshowa
.4 0 m
.4 .00625 L
s
[(0.4)] .4 -0.0125 0 1 Mshowa
.6 0 m
.6 .00625 L
s
[(0.6)] .6 -0.0125 0 1 Mshowa
.8 0 m
.8 .00625 L
s
[(0.8)] .8 -0.0125 0 1 Mshowa
1 0 m
1 .00625 L
s
[(1)] 1 -0.0125 0 1 Mshowa
.125 Mabswid
.05 0 m
.05 .00375 L
s
.1 0 m
.1 .00375 L
s
.15 0 m
.15 .00375 L
s
.25 0 m
.25 .00375 L
s
.3 0 m
.3 .00375 L
s
.35 0 m
.35 .00375 L
s
.45 0 m
.45 .00375 L
s
.5 0 m
.5 .00375 L
s
.55 0 m
.55 .00375 L
s
.65 0 m
.65 .00375 L
s
.7 0 m
.7 .00375 L
s
.75 0 m
.75 .00375 L
s
.85 0 m
.85 .00375 L
s
.9 0 m
.9 .00375 L
s
.95 0 m
.95 .00375 L
s
.25 Mabswid
0 0 m
1 0 L
s
0 .07725 m
.00625 .07725 L
s
[(0.25)] -0.0125 .07725 1 0 Mshowa
0 .15451 m
.00625 .15451 L
s
[(0.5)] -0.0125 .15451 1 0 Mshowa
0 .23176 m
.00625 .23176 L
s
[(0.75)] -0.0125 .23176 1 0 Mshowa
0 .30902 m
.00625 .30902 L
s
[(1)] -0.0125 .30902 1 0 Mshowa
0 .38627 m
.00625 .38627 L
s
[(1.25)] -0.0125 .38627 1 0 Mshowa
0 .46353 m
.00625 .46353 L
s
[(1.5)] -0.0125 .46353 1 0 Mshowa
0 .54078 m
.00625 .54078 L
s
[(1.75)] -0.0125 .54078 1 0 Mshowa
0 .61803 m
.00625 .61803 L
s
[(2)] -0.0125 .61803 1 0 Mshowa
.125 Mabswid
0 .01545 m
.00375 .01545 L
s
0 .0309 m
.00375 .0309 L
s
0 .04635 m
.00375 .04635 L
s
0 .0618 m
.00375 .0618 L
s
0 .09271 m
.00375 .09271 L
s
0 .10816 m
.00375 .10816 L
s
0 .12361 m
.00375 .12361 L
s
0 .13906 m
.00375 .13906 L
s
0 .16996 m
.00375 .16996 L
s
0 .18541 m
.00375 .18541 L
s
0 .20086 m
.00375 .20086 L
s
0 .21631 m
.00375 .21631 L
s
0 .24721 m
.00375 .24721 L
s
0 .26266 m
.00375 .26266 L
s
0 .27812 m
.00375 .27812 L
s
0 .29357 m
.00375 .29357 L
s
0 .32447 m
.00375 .32447 L
s
0 .33992 m
.00375 .33992 L
s
0 .35537 m
.00375 .35537 L
s
0 .37082 m
.00375 .37082 L
s
0 .40172 m
.00375 .40172 L
s
0 .41717 m
.00375 .41717 L
s
0 .43262 m
.00375 .43262 L
s
0 .44807 m
.00375 .44807 L
s
0 .47898 m
.00375 .47898 L
s
0 .49443 m
.00375 .49443 L
s
0 .50988 m
.00375 .50988 L
s
0 .52533 m
.00375 .52533 L
s
0 .55623 m
.00375 .55623 L
s
0 .57168 m
.00375 .57168 L
s
0 .58713 m
.00375 .58713 L
s
0 .60258 m
.00375 .60258 L
s
.25 Mabswid
0 0 m
0 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
0 0 1 r
.005 w
0 .00083 m
.01975 .00125 L
.04057 .00186 L
.0515 .00228 L
.06168 .00275 L
.07286 .0034 L
.08481 .00429 L
.09554 .00534 L
.10718 .00687 L
.11818 .00887 L
.12833 .01147 L
.13322 .0131 L
.13848 .01522 L
.14799 .02047 L
.15379 .02501 L
.1593 .03077 L
.16424 .0377 L
.16964 .04816 L
.17232 .05497 L
.17522 .06402 L
.17778 .07392 L
.18048 .08699 L
.18292 .10191 L
.18559 .123 L
.18803 .1482 L
.1903 .17911 L
.19167 .20243 L
.19316 .23314 L
.19447 .26612 L
.19586 .30907 L
.19711 .35666 L
.19849 .42229 L
.19975 .49785 L
.20093 .58716 L
s
.20093 .58716 m
.20124 .61803 L
s
.22351 .61803 m
.22438 .5444 L
.22554 .46656 L
.22679 .39933 L
.22816 .34052 L
.23047 .26647 L
.23291 .21134 L
.23579 .16551 L
.23841 .13548 L
.24144 .1099 L
.2443 .09179 L
.24939 .069 L
.25226 .05968 L
.25491 .05265 L
.25979 .04259 L
.26505 .03466 L
.27001 .02904 L
.27455 .02501 L
.2851 .01833 L
.2904 .01594 L
.2962 .01382 L
.30701 .01083 L
.31683 .00887 L
.32816 .00719 L
.33884 .00599 L
.34907 .0051 L
.3599 .00434 L
.37928 .00333 L
.38922 .00294 L
.39988 .00258 L
.41912 .00207 L
.4414 .00163 L
.46252 .00132 L
.4834 .00108 L
.50273 .0009 L
.52397 .00074 L
.54392 .00062 L
.58353 .00044 L
.60469 .00037 L
.62412 .00031 L
.66569 .00021 L
.70567 .00015 L
.74822 9e-05 L
.78919 6e-05 L
.81157 4e-05 L
.83273 3e-05 L
.87308 2e-05 L
.89393 1e-05 L
.91601 1e-05 L
.9259 0 L
Mistroke
.93654 0 L
.94169 0 L
.94422 0 L
.94546 0 L
.94658 0 L
.94767 0 L
.9487 0 L
.95097 0 L
.95576 0 L
.99626 0 L
1 0 L
Mfstroke
1 0 0 r
0 .02135 m
.00123 .02839 L
.00236 .0328 L
.00365 .03646 L
.00488 .03902 L
.00706 .04222 L
.00829 .04353 L
.00942 .04453 L
.01181 .04615 L
.01444 .04742 L
.01718 .0484 L
.01975 .0491 L
.02243 .04968 L
.02499 .05012 L
.02978 .05076 L
.03494 .05125 L
.04057 .05166 L
.04639 .05197 L
.05167 .0522 L
.05736 .05239 L
.06351 .05257 L
.07448 .0528 L
.08481 .05297 L
.10574 .05321 L
.11629 .0533 L
.12786 .05338 L
.14835 .05349 L
.17031 .05359 L
.19111 .05365 L
.21374 .05372 L
.25557 .0538 L
.2984 .05387 L
.33963 .05393 L
.37926 .05397 L
.42148 .05402 L
.4621 .05405 L
.5053 .05409 L
.5469 .05413 L
.58691 .05417 L
.6295 .05421 L
.6705 .05426 L
.71407 .05431 L
.75605 .05438 L
.79644 .05446 L
.8169 .05451 L
.83941 .05458 L
.86103 .05466 L
.88078 .05475 L
.9012 .05488 L
.91259 .05497 L
Mistroke
.92314 .05507 L
.94311 .05532 L
.95366 .05551 L
.96489 .05575 L
.96912 .05585 L
.97358 .05595 L
.97471 .05597 L
.97592 .05598 L
.97725 .056 L
.97848 .056 L
.97969 .05599 L
.98084 .05598 L
.98186 .05595 L
.98298 .0559 L
.98403 .05584 L
.98502 .05575 L
.9861 .05561 L
.98727 .0554 L
.98843 .05511 L
.98965 .05467 L
.99069 .05413 L
.99183 .05329 L
.9929 .05215 L
.99388 .05065 L
.995 .04805 L
.99606 .0442 L
.99705 .03852 L
.99795 .03024 L
.99895 .01577 L
1 0 L
Mfstroke
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{473.562, 292.688},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40007I000192000`400?l00000o`00003ooooooooJ
ooooo`00K_ooool2o`0000Cooooo00Co0000oooooooooooooooo1Ol00019ooooo`;o00001?ooool0
0ol0003oooooooooo`03ooooo`?o0000BOooool2o`0000Cooooo00?o0000ooooooooool00_ooool3
o`0004[ooooo0_l00004ooooo`03o`000?oooooooooo00;ooooo0ol0001?ooooo`?o00000oooool0
06gooooo00Co0000oooooooooooo00002?ooool01?l0003oooooooooool00018ooooo`04o`000?oo
ooooooooo`0000[ooooo00?o0000ooooooooool0Aoooool01?l0003oooooooooool00007ooooo`05
o`000?ooooooooooooooool00000B?ooool01?l0003oooooooooool00007ooooo`05o`000?oooooo
ooooooooool00000Coooool00ol0003oooooooooo`02ooooo`00KOooool01?l0003oooooooooool0
0009ooooo`03o`000?oooooooooo04Sooooo00Co0000oooooooooooo00001oooool5o`0004Sooooo
00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000004Sooooo00Co0000oooo
oooooooo00001oooool01Ol0003ooooooooooooooooo000004oooooo00?o0000ooooooooool00_oo
ool006gooooo00Co0000oooooooooooo00002_ooool00ol0003oooooooooo`17ooooo`04o`000?oo
ooooooooo`0000Oooooo00Co0000oooooooooooo0000BOooool01?l0003oooooooooool00007oooo
o`Co0000BOooool01?l0003oooooooooool00008ooooo`?o0000D?ooool00ol0003oooooooooo`02
ooooo`00KOooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool00000B?oo
ool01?l0003oooooooooool00008ooooo`03o`000?oooooo000004Wooooo00Co0000oooooooooooo
00001oooool00ol0003oooooooooo`1:ooooo`04o`000?ooooooooooo`0000Oooooo00Go0000oooo
ooooooooooooo`00001?ooooo`03o`000?oooooooooo00;ooooo001]ooooo`04o`000?oooooooooo
o`0000Oooooo00Go0000ooooooooooooooooo`000018ooooo`04o`000?ooooooooooo`0000Wooooo
0_l00019ooooo`04o`000?ooooooooooo`0000Sooooo00?o0000ooooooooool0BOooool01?l0003o
ooooooooool00007ooooo`05o`000?ooooooooooooooool00000C_ooool2o`0000Cooooo001^oooo
o`;o00002Oooool3o`0004[ooooo0_l0000;ooooo`03o`000?oooooooooo04Sooooo0_l0000:oooo
o`;o0000B_ooool2o`0000Wooooo0ol0001@ooooo`03o`000?oooooooooo00;ooooo003oooooom[o
oooo003oooooom[ooooo003oooooom[ooooo003oooooom[ooooo003oooooom[ooooo003oooooom[o
oooo003oooooom[ooooo000LoooooaOo003oY_l0003ko`00o`;oo`000oooool001cooooo9Ol00?l8
ooooo`03o`000?oooooooooo01?ooooo00?o0000ooooooooool04oooool00ol0003oooooooooo`0C
ooooo`03o`000?oooooooooo01?ooooo00?o0000ooooooooool04oooool00ol0003oooooooooo`05
oooooooo003o5_l00?l2ool000?ooooo000Mooooo`03o`000?oooooooooo01;ooooo6Ol00?lZoooo
o`03o`000?oooooooooo03Oooooo:ol00?m;ooooo`03o`000?oooooooooo05Gooooo00?o0000oooo
ooooool0E?ooool2ool000?ooooo000Mooooo`03o`000?oooooooooo023ooooo4?l00?mJoooooaKo
003ooooooolEooooo`;oo`000oooool001gooooo00?o0000ooooooooool0:_ooool:o`00odkooooo
3_l00?ooooooobGooooo0_oo0003ooooo`007Oooool00ol0003oooooooooo`0_ooooo`_o003oAOoo
ool<o`00oooooooo:_ooool2ool000?ooooo000Mooooo`?o0000<oooool9o`00od7ooooo1_l00?oo
oooooc;ooooo0_oo0003ooooo`007Oooool00ol0003oooooooooo`0iooooo`Co003o?_ooool5o`00
oooooooo=Oooool2ool000?ooooo000Mooooo`03o`000?oooooooooo03_ooooo0ol00?ljooooo`Ko
003ooooooolgooooo`;oo`000oooool001cooooo0_oo000nooooo`Co003o=oooool5o`00oooooooo
>Oooool2ool000?ooooo000Looooo`;oo`00?oooool4o`00ocGooooo0ol00?oooooooccooooo0_oo
0003ooooo`007?ooool3ool0043ooooo0ol00?lbooooo`Co003ooooooollooooo`?oo`000oooool0
01gooooo0_oo0011ooooo`?o003o<?ooool4o`00oooooooo?Oooool2ool000Cooooo000Mooooo`;o
o`0000?o0000ooooooooool0?oooool3o`00oboooooo0_l00?ooooooocoooooo0_oo0004ooooo`00
7Oooool2ool004?ooooo0_l00?l^ooooo`?o003oooooooloooooo`;oo`001?ooool001gooooo0_oo
0013ooooo`?o003o;?ooool3o`00oooooooo@?ooool2ool000Cooooo000Mooooo`?oo`00@oooool3
o`00ob[ooooo0ol00?oooooood7ooooo0_oo0004ooooo`007Oooool00ol0003oo`00ool00014oooo
o`;o003o:Oooool3o`00oooooooo@_ooool2ool000Cooooo000Mooooo`04o`000?oo003oo`00ool0
04?ooooo0ol00?lWooooo`?o003ooooooom3ooooo`;oo`001?ooool001gooooo00?o0000oooooooo
00000_oo0013ooooo`?o003o9_ooool2o`00oooooooo@oooool3ool000Cooooo000Mooooo`?o0000
0ooo0013ooooo`;o003o9Oooool3o`00oooooooo@oooool2ool000Gooooo000Mooooo`04o`000?oo
ooooooooooooo`Koo`00?oooool3o`00obCooooo0_l00?ooooooodCooooo0_oo0005ooooo`007Ooo
ool00ol0003oooooooooo`02ooooo`ooo`00=_ooool2o`00obCooooo0_l00?oooooood?ooooo0ooo
0005ooooo`007Oooool00ol0003oooooooooo`06oooooo;oo`00^?ooool3ool000Kooooo000Moooo
o`03o`000?oooooooooo013ooooooooo002Tool000Kooooo000Mooooo`03o`000?oooooooooo04So
oooo0_l00?lQooooo`?o003oROoooonkool000Oooooo000Mooooo`03o`000?oooooooooo04Sooooo
0_l00?lQooooo`;o003ooooooom=ooooo`007Oooool3o`0004Sooooo0ol00?lPooooo`;o003ooooo
oom=ooooo`007Oooool00ol0003oooooooooo`19ooooo`;o003o8?ooool2o`00ooooooooCOooool0
01gooooo00?o0000ooooooooool0BOooool2o`00oaoooooo0ol00?ooooooodgooooo000Mooooo`03
o`000?oooooooooo04Wooooo0_l00?lOooooo`;o003ooooooom>ooooo`000_ooool2o`0000Cooooo
00Co0000oooooooooooooooo1Ol00002ooooo`?o00001oooool00ol0003oooooooooo`19ooooo`?o
003o7_ooool2o`00ooooooooC_ooool00005ooooool0003oooooooooool000002?ooool01_l0003o
ooooooooool0003oooooo`0000?ooooo00?o0000ooooooooool01?ooool00ol0003oooooooooo`1:
ooooo`;o003o7_ooool2o`00ooooooooC_ooool00005ooooool0003oooooooooool000002Oooool0
0ol0003oooooooooo`05ooooo`03o`000?oooooooooo00Cooooo00?o0000ooooooooool0B_ooool2
o`00oagooooo0ol00?ooooooodkooooo00001Ooooooo0000oooooooooooo000000[ooooo00?o0000
ooooooooool01?ooool00ol0003oooooooooo`04ooooo`Co0000BOooool2o`00oagooooo0_l00?oo
ooooodoooooo00001Ooooooo0000oooooooooooo000000Oooooo00Ko0000ooooooooooooooooo`00
0?ooool4o`0000Oooooo00?o0000ooooooooool0B_ooool2o`00oagooooo0_l00?ooooooodoooooo
00001Ooooooo0000oooooooooooo000000Oooooo00Oo0000ooooooooooooooooo`000?oooooo0000
00[ooooo00?o0000ooooooooool0B_ooool3o`00oacooooo0_l00?ooooooodoooooo0002ooooo`;o
00002Oooool3o`0000;ooooo1Ol00006ooooo`03o`000?oooooooooo04_ooooo0_l00?lLooooo`;o
003ooooooom?ooooo`007Oooool00ol0003oooooooooo`1;ooooo`;o003o6oooool3o`00oooooooo
Coooool001gooooo00?o0000ooooooooool0Boooool2o`00oa_ooooo0_l00?oooooooe3ooooo000M
ooooo`?o0000Boooool2o`00oa_ooooo0_l00?oooooooe3ooooo000Mooooo`03o`000?oooooooooo
04_ooooo0ol00?lJooooo`;o003ooooooom@ooooo`007Oooool00ol0003oooooooooo`1<ooooo`;o
003o6_ooool2o`00ooooooooD?ooool001gooooo00?o0000ooooooooool0C?ooool2o`00oaWooooo
0ol00?oooooooe3ooooo000Mooooo`03o`000?oooooooooo04cooooo0ol00?lHooooo`;o003ooooo
oomAooooo`007Oooool00ol0003oooooooooo`1=ooooo`;o003o6?ooool2o`00ooooooooDOooool0
01gooooo00?o0000ooooooooool0COooool2o`00oaSooooo0_l00?oooooooe7ooooo000Mooooo`?o
0000COooool2o`00oaOooooo0ol00?oooooooe7ooooo000Mooooo`03o`000?oooooooooo04gooooo
0_l00?lGooooo`;o003ooooooomBooooo`007Oooool00ol0003oooooooooo`1=ooooo`;o003o5ooo
ool2o`00ooooooooD_ooool001gooooo00?o0000ooooooooool0COooool3o`00oaKooooo0_l00?oo
oooooe;ooooo000Mooooo`03o`000?oooooooooo04kooooo0_l00?lFooooo`;o003ooooooomBoooo
o`007Oooool00ol0003oooooooooo`1>ooooo`;o003o5_ooool2o`00ooooooooD_ooool001gooooo
00?o0000ooooooooool0C_ooool2o`00oaKooooo0_l00?oooooooe;ooooo000Mooooo`?o0000C_oo
ool2o`00oaGooooo0ol00?oooooooe;ooooo000Mooooo`03o`000?oooooooooo04kooooo0_l00?lE
ooooo`;o003ooooooomCooooo`007Oooool00ol0003oooooooooo`1>ooooo`;o003o5Oooool2o`00
ooooooooDoooool001gooooo00?o0000ooooooooool0C_ooool2o`00oaGooooo0_l00?oooooooe?o
oooo000Mooooo`03o`000?oooooooooo04kooooo0_l00?lEooooo`;o003ooooooomCooooo`007Ooo
ool00ol0003oooooooooo`1>ooooo`;o003o5Oooool2o`00ooooooooDoooool001gooooo00?o0000
ooooooooool0C_ooool3o`00oaCooooo0_l00?oooooooe?ooooo000Mooooo`?o0000Coooool2o`00
oaCooooo0_l00?oooooooe?ooooo000Mooooo`03o`000?oooooooooo04oooooo0_l00?lDooooo`;o
003ooooooomCooooo`007Oooool00ol0003oooooooooo`1?ooooo`;o003o5?ooool2o`00oooooooo
Doooool001gooooo00?o0000ooooooooool0Coooool2o`00oaCooooo0_l00?oooooooe?ooooo0008
ooooo`;o00001?ooool00ol0003oooooooooo`02ooooo`?o00001oooool00ol0003oooooooooo`1?
ooooo`;o003o5?ooool2o`00ooooooooDoooool000Oooooo00Co0000oooooooooooo00001oooool0
1Ol0003ooooooooooooooooo000000Kooooo00?o0000ooooooooool0Coooool2o`00oaCooooo0_l0
0?oooooooe?ooooo0007ooooo`04o`000?ooooooooooo`0000_ooooo00?o0000ooooooooool01?oo
ool00ol0003oooooooooo`1?ooooo`;o003o4oooool3o`00ooooooooDoooool000Oooooo00Co0000
oooooooooooo00002oooool00ol0003oooooooooo`04ooooo`Co0000C_ooool2o`00oa?ooooo0_l0
0?oooooooeCooooo0007ooooo`04o`000?ooooooooooo`0000Oooooo1?l00007ooooo`03o`000?oo
oooooooo04oooooo0_l00?lCooooo`;o003ooooooomDooooo`001oooool01?l0003oooooooooool0
0007ooooo`03o`000?oooooooooo00Sooooo00?o0000ooooooooool0Coooool2o`00oa?ooooo0_l0
0?oooooooeCooooo0008ooooo`;o00002?ooool5o`0000Kooooo00?o0000ooooooooool0Coooool2
o`00oa?ooooo0_l00?oooooooeCooooo000Mooooo`03o`000?oooooooooo04oooooo0ol00?lBoooo
o`;o003ooooooomDooooo`007Oooool00ol0003oooooooooo`1@ooooo`;o003o4_ooool2o`00oooo
ooooE?ooool001gooooo0ol0001@ooooo`;o003o4_ooool2o`00ooooooooE?ooool001gooooo00?o
0000ooooooooool0D?ooool2o`00oa;ooooo0_l00?oooooooeCooooo000Mooooo`03o`000?oooooo
oooo053ooooo0_l00?lBooooo`;o003ooooooomDooooo`007Oooool00ol0003oooooooooo`1@oooo
o`;o003o4_ooool2o`00ooooooooE?ooool001gooooo00?o0000ooooooooool0D?ooool2o`00oa;o
oooo0_l00?oooooooeCooooo000Mooooo`03o`000?oooooooooo053ooooo0_l00?lAooooo`?o003o
oooooomDooooo`007Oooool00ol0003oooooooooo`1@ooooo`;o003o4Oooool2o`00ooooooooEOoo
ool001gooooo0ol0001@ooooo`;o003o4Oooool2o`00ooooooooEOooool001gooooo00?o0000oooo
ooooool0D?ooool2o`00oa7ooooo0_l00?oooooooeGooooo000Mooooo`03o`000?oooooooooo053o
oooo0_l00?lAooooo`;o003ooooooomEooooo`007Oooool00ol0003oooooooooo`1@ooooo`;o003o
4Oooool2o`00ooooooooEOooool001gooooo00?o0000ooooooooool0D?ooool2o`00oa7ooooo0_l0
0?oooooooeGooooo000Mooooo`03o`000?oooooooooo053ooooo0_l00?lAooooo`;o003ooooooomE
ooooo`007Oooool00ol0003oooooooooo`1@ooooo`;o003o4Oooool2o`00ooooooooEOooool001go
oooo0ol0001@ooooo`;o003o4Oooool2o`00ooooooooEOooool001gooooo00?o0000ooooooooool0
D?ooool2o`00oa3ooooo0ol00?oooooooeGooooo000Mooooo`03o`000?oooooooooo053ooooo0_l0
0?l@ooooo`;o003ooooooomFooooo`007Oooool00ol0003oooooooooo`1@ooooo`;o003o4?ooool2
o`00ooooooooE_ooool001gooooo00?o0000ooooooooool0D?ooool2o`00oa3ooooo0_l00?oooooo
oeKooooo000Mooooo`03o`000?oooooooooo053ooooo0_l00?l@ooooo`;o003ooooooomFooooo`00
7Oooool00ol0003oooooooooo`1@ooooo`;o003o4?ooool2o`00ooooooooE_ooool001gooooo0ol0
001@ooooo`;o003o4?ooool2o`00ooooooooE_ooool001gooooo00?o0000ooooooooool0D?ooool3
o`00o`oooooo0_l00?oooooooeKooooo000Mooooo`03o`000?oooooooooo057ooooo0_l00?l?oooo
o`;o003ooooooomFooooo`007Oooool00ol0003oooooooooo`1Aooooo`;o003o3oooool2o`00oooo
ooooE_ooool000;ooooo0_l00004ooooo`03o`000?oooooooooo00?ooooo00?o0000ooooooooool0
0_ooool3o`0000Oooooo00?o0000ooooooooool0DOooool2o`00o`oooooo0_l00?oooooooeKooooo
00001Ooooooo0000oooooooooooo000000Wooooo00Go0000ooooooooooooooooo`000003ooooo`03
o`000?oooooooooo00Cooooo00?o0000ooooooooool0DOooool2o`00o`oooooo0_l00?oooooooeKo
oooo00001Ooooooo0000oooooooooooo000000[ooooo00?o0000ooooooooool01?ooool00ol0003o
ooooooooo`04ooooo`03o`000?oooooooooo057ooooo0_l00?l?ooooo`;o003ooooooomFooooo`00
00Goooooo`000?ooooooooooo`00000:ooooo`03o`000?oooooooooo00Cooooo00?o0000oooooooo
ool01?ooool4o`00053ooooo0_l00?l?ooooo`;o003ooooooomFooooo`0000Goooooo`000?oooooo
ooooo`00000;ooooo`03o`000?oooooo000000?o00001oooool00ol0003oooooooooo`1Aooooo`;o
003o3oooool2o`00ooooooooE_ooool00005ooooool0003oooooooooool000001oooool01ol0003o
oooooooooooooooo0000ooooool000002_ooool00ol0003oooooooooo`1Aooooo`;o003o3oooool2
o`00ooooooooE_ooool000;ooooo0_l00008ooooo`Go000000?oooooo`000?l000000ol00006oooo
o`03o`000?oooooooooo057ooooo0_l00?l?ooooo`;o003ooooooomFooooo`007Oooool00ol0003o
ooooooooo`1Aooooo`;o003o3_ooool3o`00ooooooooE_ooool001gooooo00?o0000ooooooooool0
DOooool2o`00o`kooooo0_l00?oooooooeOooooo000Mooooo`?o0000DOooool2o`00o`kooooo0_l0
0?oooooooeOooooo000Mooooo`03o`000?oooooooooo057ooooo0_l00?l>ooooo`;o003ooooooomG
ooooo`007Oooool00ol0003oooooooooo`1Aooooo`?o003o3Oooool2o`00ooooooooEoooool001go
oooo00?o0000ooooooooool0D_ooool2o`00o`gooooo0_l00?oooooooeOooooo000Mooooo`03o`00
0?oooooooooo05;ooooo0_l00?l=ooooo`;o003ooooooomGooooo`007Oooool00ol0003ooooooooo
o`1Booooo`;o003o3Oooool2o`00ooooooooEoooool001gooooo00?o0000ooooooooool0D_ooool2
o`00o`gooooo0_l00?oooooooeOooooo000Mooooo`?o0000D_ooool2o`00o`gooooo0_l00?oooooo
oeOooooo000Mooooo`03o`000?oooooooooo05;ooooo0_l00?l=ooooo`;o003ooooooomGooooo`00
7Oooool00ol0003oooooooooo`1Booooo`;o003o3Oooool2o`00ooooooooEoooool001gooooo00?o
0000ooooooooool0D_ooool2o`00o`gooooo0_l00?oooooooeOooooo000Mooooo`03o`000?oooooo
oooo05;ooooo0_l00?l=ooooo`;o003ooooooomGooooo`007Oooool00ol0003oooooooooo`1Boooo
o`;o003o3Oooool2o`00ooooooooEoooool001gooooo00?o0000ooooooooool0D_ooool2o`00o`go
oooo0_l00?oooooooeOooooo000Mooooo`?o0000D_ooool2o`00o`gooooo0_l00?oooooooeOooooo
000Mooooo`03o`000?oooooooooo05;ooooo0_l00?l=ooooo`;o003ooooooomGooooo`007Oooool0
0ol0003oooooooooo`1Booooo`;o003o3Oooool2o`00ooooooooEoooool001gooooo00?o0000oooo
ooooool0D_ooool2o`00o`gooooo0_l00?oooooooeOooooo000Mooooo`03o`000?oooooooooo05;o
oooo0_l00?l=ooooo`;o003ooooooomGooooo`007Oooool00ol0003oooooooooo`1Booooo`;o003o
3Oooool2o`00ooooooooEoooool001gooooo00?o0000ooooooooool0D_ooool2o`00o`gooooo0_l0
0?oooooooeOooooo000Mooooo`?o0000D_ooool2o`00o`gooooo0_l00?oooooooeOooooo000Moooo
o`03o`000?oooooooooo05;ooooo0_l00?l=ooooo`;o003ooooooomGooooo`007Oooool00ol0003o
ooooooooo`1Booooo`;o003o3Oooool2o`00ooooooooEoooool001gooooo00?o0000ooooooooool0
D_ooool2o`00o`gooooo0_l00?oooooooeOooooo000Cooooo`?o00001oooool00ol0003ooooooooo
o`1Booooo`;o003o3Oooool2o`00ooooooooEoooool001Cooooo00?o0000ooooooooool01_ooool0
0ol0003oooooooooo`1Booooo`;o003o3?ooool3o`00ooooooooEoooool001Cooooo00?o0000oooo
ooooool01_ooool00ol0003oooooooooo`1Booooo`;o003o3?ooool2o`00ooooooooF?ooool001Co
oooo00?o0000ooooooooool01_ooool4o`00057ooooo0_l00?l<ooooo`;o003ooooooomHooooo`00
5?ooool00ol0003oooooooooo`06ooooo`03o`000?oooooooooo05;ooooo0_l00?l<ooooo`;o003o
oooooomHooooo`004oooool2o`0000Sooooo00?o0000ooooooooool0D_ooool2o`00o`cooooo0_l0
0?oooooooeSooooo000Dooooo`03o`000?oooooooooo00Kooooo00?o0000ooooooooool0D_ooool2
o`00o`cooooo0_l00?oooooooeSooooo000Mooooo`03o`000?oooooooooo05;ooooo0_l00?l<oooo
o`;o003ooooooomHooooo`007Oooool00ol0003oooooooooo`1Booooo`;o003o3?ooool2o`00oooo
ooooF?ooool001gooooo0ol0001Booooo`;o003o3?ooool2o`00ooooooooF?ooool001gooooo00?o
0000ooooooooool0D_ooool2o`00o`cooooo0_l00?oooooooeSooooo000Mooooo`03o`000?oooooo
oooo05;ooooo0_l00?l<ooooo`;o003ooooooomHooooo`007Oooool00ol0003oooooooooo`1Boooo
o`;o003o3?ooool2o`00ooooooooF?ooool001gooooo00?o0000ooooooooool0D_ooool2o`00o`co
oooo0_l00?oooooooeSooooo000Mooooo`03o`000?oooooooooo05;ooooo0ol00?l;ooooo`;o003o
oooooomHooooo`007Oooool00ol0003oooooooooo`1Cooooo`;o003o2oooool2o`00ooooooooF?oo
ool001gooooo0ol0001Cooooo`;o003o2oooool2o`00ooooooooF?ooool001gooooo00?o0000oooo
ooooool0Doooool2o`00o`_ooooo0_l00?oooooooeSooooo000Mooooo`03o`000?oooooooooo05?o
oooo0_l00?l;ooooo`;o003ooooooomHooooo`007Oooool00ol0003oooooooooo`1Cooooo`;o003o
2oooool2o`00ooooooooF?ooool001gooooo00?o0000ooooooooool0Doooool2o`00o`_ooooo0_l0
0?oooooooeSooooo000Mooooo`03o`000?oooooooooo05?ooooo0_l00?l;ooooo`;o003ooooooomH
ooooo`007Oooool00ol0003oooooooooo`1Cooooo`;o003o2oooool2o`00ooooooooF?ooool001go
oooo0ol0001Cooooo`;o003o2oooool2o`00ooooooooF?ooool001gooooo00?o0000ooooooooool0
Doooool2o`00o`_ooooo0_l00?oooooooeSooooo000Mooooo`03o`000?oooooooooo05?ooooo0_l0
0?l;ooooo`;o003ooooooomHooooo`007Oooool00ol0003oooooooooo`1Cooooo`;o003o2oooool2
o`00ooooooooF?ooool001gooooo00?o0000ooooooooool0Doooool2o`00o`_ooooo0_l00?oooooo
oeSooooo000Mooooo`03o`000?oooooooooo05?ooooo0_l00?l;ooooo`;o003ooooooomHooooo`00
7Oooool00ol0003oooooooooo`1Cooooo`;o003o2oooool2o`00ooooooooF?ooool001gooooo0ol0
001Cooooo`;o003o2oooool2o`00ooooooooF?ooool001gooooo00?o0000ooooooooool0Doooool2
o`00o`_ooooo0_l00?oooooooeSooooo000Mooooo`03o`000?oooooooooo05?ooooo0_l00?l;oooo
o`;o003ooooooomHooooo`007Oooool00ol0003oooooooooo`1Cooooo`;o003o2oooool2o`00oooo
ooooF?ooool00004ooooool0003o0000o`0000Cooooo00Co0000oooooooooooooooo1Ol00002oooo
o`?o00001oooool00ol0003oooooooooo`1Cooooo`;o003o2oooool2o`00ooooooooF?ooool000;o
oooo00?o0000ooooooooool02?ooool01_l0003oooooooooool0003oooooo`0000?ooooo00?o0000
ooooooooool01?ooool00ol0003oooooooooo`1Cooooo`;o003o2oooool2o`00ooooooooF?ooool0
00;ooooo00?o0000ooooooooool02Oooool00ol0003oooooooooo`05ooooo`03o`000?oooooooooo
00Cooooo00?o0000ooooooooool0Doooool2o`00o`_ooooo0_l00?oooooooeSooooo0002ooooo`03
o`000?oooooooooo00[ooooo00?o0000ooooooooool01?ooool00ol0003oooooooooo`04ooooo`Co
0000D_ooool2o`00o`_ooooo0_l00?oooooooeSooooo0002ooooo`03o`000?oooooooooo00Oooooo
00Ko0000ooooooooooooooooo`000?ooool4o`0000Oooooo00?o0000ooooooooool0Doooool2o`00
o`_ooooo0_l00?oooooooeSooooo00000ooooooo0000o`000009ooooo`07o`000?oooooooooooooo
ool0003oooooo`00000:ooooo`03o`000?oooooooooo05?ooooo0_l00?l;ooooo`;o003ooooooomH
ooooo`000_ooool00ol0003oooooooooo`08ooooo`?o00000_ooool5o`0000Kooooo00?o0000oooo
ooooool0Doooool2o`00o`_ooooo0_l00?oooooooeSooooo000Mooooo`03o`000?oooooooooo05?o
oooo0_l00?l;ooooo`;o003ooooooomHooooo`007Oooool00ol0003oooooooooo`1Cooooo`;o003o
2oooool2o`00ooooooooF?ooool001gooooo0ol0001Cooooo`;o003o2oooool2o`00ooooooooF?oo
ool001gooooo00?o0000ooooooooool0Doooool2o`00o`_ooooo0_l00?oooooooeSooooo000Moooo
o`03o`000?oooooooooo05?ooooo0_l00?l;ooooo`;o003ooooooomHooooo`007Oooool00ol0003o
ooooooooo`1Cooooo`;o003o2oooool2o`00ooooooooF?ooool001gooooo00?o0000ooooooooool0
Doooool2o`00o`_ooooo0_l00?oooooooeSooooo000Mooooo`03o`000?oooooooooo05?ooooo0_l0
0?l;ooooo`;o003ooooooomHooooo`007Oooool00ol0003oooooooooo`1Cooooo`;o003o2oooool2
o`00ooooooooF?ooool001gooooo0ol0001Cooooo`;o003o2oooool2o`00ooooooooF?ooool001go
oooo00?o0000ooooooooool0Doooool2o`00o`_ooooo0_l00?oooooooeSooooo000Mooooo`03o`00
0?oooooooooo05?ooooo0_l00?l;ooooo`;o003ooooooomHooooo`007Oooool00ol0003ooooooooo
o`1Cooooo`;o003o2oooool2o`00ooooooooF?ooool001gooooo00?o0000ooooooooool0Doooool2
o`00o`_ooooo0_l00?oooooooeSooooo000Mooooo`03o`000?oooooooooo05?ooooo0_l00?l;oooo
o`;o003ooooooomHooooo`007Oooool00ol0003oooooooooo`1Cooooo`;o003o2oooool2o`00oooo
ooooF?ooool001gooooo0ol0001Cooooo`;o003o2oooool2o`00ooooooooF?ooool001gooooo00?o
0000ooooooooool0Doooool2o`00o`[ooooo0ol00?oooooooeSooooo000Mooooo`03o`000?oooooo
oooo05?ooooo0_l00?l:ooooo`;o003ooooooomIooooo`007Oooool00ol0003oooooooooo`1Coooo
o`;o003o2_ooool2o`00ooooooooFOooool001gooooo00?o0000ooooooooool0Doooool2o`00o`[o
oooo0_l00?oooooooeWooooo000Mooooo`03o`000?oooooooooo05?ooooo0_l00?l:ooooo`;o003o
oooooomIooooo`007Oooool00ol0003oooooooooo`1Cooooo`;o003o2_ooool2o`00ooooooooFOoo
ool001gooooo0ol0001Cooooo`;o003o2_ooool2o`00ooooooooFOooool001gooooo00?o0000oooo
ooooool0Doooool2o`00o`[ooooo0_l00?oooooooeWooooo000Mooooo`03o`000?oooooooooo05?o
oooo0_l00?l:ooooo`;o003ooooooomIooooo`007Oooool00ol0003oooooooooo`1Cooooo`;o003o
2_ooool2o`00ooooooooFOooool000Oooooo0ol00004ooooo`03o`000?oooooooooo00;ooooo0ol0
0007ooooo`03o`000?oooooooooo05?ooooo0_l00?l:ooooo`;o003ooooooomIooooo`002?ooool0
0ol0003oooooooooo`07ooooo`05o`000?ooooooooooooooool000001_ooool00ol0003ooooooooo
o`1Cooooo`;o003o2_ooool2o`00ooooooooFOooool000Sooooo00?o0000ooooooooool02oooool0
0ol0003oooooooooo`04ooooo`03o`000?oooooooooo05?ooooo0ol00?l9ooooo`;o003ooooooomI
ooooo`002?ooool00ol0003oooooooooo`0;ooooo`03o`000?oooooooooo00Cooooo1?l0001Coooo
o`;o003o2Oooool2o`00ooooooooFOooool000Sooooo00?o0000ooooooooool01oooool4o`0000Oo
oooo00?o0000ooooooooool0E?ooool2o`00o`Wooooo0_l00?oooooooeWooooo0007ooooo`;o0000
2Oooool00ol0003oooooooooo`08ooooo`03o`000?oooooooooo05Cooooo0_l00?l9ooooo`;o003o
oooooomIooooo`002?ooool00ol0003oooooooooo`07ooooo`Go00001_ooool00ol0003ooooooooo
o`1Dooooo`;o003o2Oooool2o`00ooooooooFOooool001gooooo00?o0000ooooooooool0E?ooool2
o`00o`Wooooo0_l00?oooooooeWooooo000Mooooo`03o`000?oooooooooo05Cooooo0_l00?l9oooo
o`;o003ooooooomIooooo`007Oooool3o`0005Cooooo0_l00?l9ooooo`;o003ooooooomIooooo`00
7Oooool00ol0003oooooooooo`1Dooooo`;o003o2Oooool2o`00ooooooooFOooool001gooooo00?o
0000ooooooooool0E?ooool2o`00o`Wooooo0_l00?oooooooeWooooo000Mooooo`03o`000?oooooo
oooo05Cooooo0_l00?l9ooooo`;o003ooooooomIooooo`007Oooool00ol0003oooooooooo`1Doooo
o`;o003o2Oooool2o`00ooooooooFOooool001gooooo00?o0000ooooooooool0E?ooool2o`00o`Wo
oooo0_l00?oooooooeWooooo000Mooooo`03o`000?oooooooooo05Cooooo0_l00?l9ooooo`;o003o
oooooomIooooo`007Oooool3o`0005Cooooo0_l00?l9ooooo`;o003ooooooomIooooo`007Oooool0
0ol0003oooooooooo`1Dooooo`;o003o2Oooool2o`00ooooooooFOooool001gooooo00?o0000oooo
ooooool0E?ooool2o`00o`Wooooo0_l00?oooooooeWooooo000Mooooo`03o`000?oooooooooo05Co
oooo0_l00?l9ooooo`;o003ooooooomIooooo`007Oooool00ol0003oooooooooo`1Dooooo`;o003o
2Oooool2o`00ooooooooFOooool001gooooo00?o0000ooooooooool0E?ooool2o`00o`Wooooo0_l0
0?oooooooeWooooo000Mooooo`03o`000?oooooooooo05Cooooo0_l00?l9ooooo`;o003ooooooomI
ooooo`007Oooool3o`0005Cooooo0_l00?l9ooooo`;o003ooooooomIooooo`007Oooool00ol0003o
ooooooooo`1Dooooo`;o003o2Oooool2o`00ooooooooFOooool001gooooo00?o0000ooooooooool0
E?ooool2o`00o`Wooooo0_l00?oooooooeWooooo000Mooooo`03o`000?oooooooooo05Cooooo0_l0
0?l9ooooo`;o003ooooooomIooooo`007Oooool00ol0003oooooooooo`1Dooooo`;o003o2Oooool2
o`00ooooooooFOooool001gooooo00?o0000ooooooooool0E?ooool2o`00o`Wooooo0_l00?oooooo
oeWooooo000Mooooo`03o`000?oooooooooo05Cooooo0_l00?l9ooooo`;o003ooooooomIooooo`00
7Oooool3o`0005Cooooo0_l00?l9ooooo`;o003ooooooomIooooo`007Oooool00ol0003ooooooooo
o`1Dooooo`;o003o2Oooool2o`00ooooooooFOooool001gooooo00?o0000ooooooooool0E?ooool2
o`00o`Wooooo0_l00?oooooooeWooooo000Mooooo`03o`000?oooooooooo05Cooooo0_l00?l9oooo
o`;o003ooooooomIooooo`0000Coooooo`000?l0003o00001?ooool00ol0003oooooooooo`03oooo
o`03o`000?oooooooooo00;ooooo0ol00007ooooo`03o`000?oooooooooo05Cooooo0_l00?l9oooo
o`;o003ooooooomIooooo`000_ooool00ol0003oooooooooo`09ooooo`05o`000?oooooooooooooo
ool000000oooool00ol0003oooooooooo`04ooooo`03o`000?oooooooooo05Cooooo0_l00?l9oooo
o`;o003ooooooomIooooo`000_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00Co
oooo00?o0000ooooooooool01?ooool00ol0003oooooooooo`1Dooooo`;o003o2Oooool2o`00oooo
ooooFOooool000;ooooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`04ooooo`03o`00
0?oooooooooo00Cooooo1?l0001Cooooo`;o003o2Oooool2o`00ooooooooFOooool000;ooooo00?o
0000ooooooooool02oooool00ol0003oooooo`000003o`0000Oooooo00?o0000ooooooooool0E?oo
ool2o`00o`Wooooo0_l00?oooooooeWooooo00000ooooooo0000o`000009ooooo`07o`000?oooooo
ooooooooool0003oooooo`00000:ooooo`03o`000?oooooooooo05Cooooo0_l00?l9ooooo`;o003o
oooooomIooooo`000_ooool00ol0003oooooooooo`07ooooo`Go000000?oooooo`000?l000000ol0
0006ooooo`03o`000?oooooooooo05Cooooo0_l00?l9ooooo`;o003ooooooomIooooo`007Oooool0
0ol0003oooooooooo`1Dooooo`;o003o2Oooool2o`00ooooooooFOooool001gooooo00?o0000oooo
ooooool0E?ooool2o`00o`Wooooo0_l00?oooooooeWooooo000Mooooo`?o0000E?ooool2o`00o`Wo
oooo0_l00?oooooooeWooooo000Mooooo`03o`000?oooooooooo05Cooooo0_l00?l9ooooo`;o003o
oooooomIooooo`007Oooool00ol0003oooooooooo`1Dooooo`;o003o2Oooool2o`00ooooooooFOoo
ool001gooooo00?o0000ooooooooool0E?ooool2o`00o`Wooooo0_l00?oooooooeWooooo000Moooo
o`03o`000?oooooooooo05Cooooo0_l00?l9ooooo`;o003ooooooomIooooo`007Oooool00ol0003o
ooooooooo`1Dooooo`;o003o2Oooool2o`00ooooooooFOooool001gooooo00?o0000ooooooooool0
E?ooool2o`00o`Wooooo0_l00?oooooooeWooooo000Mooooo`?o0000E?ooool2o`00o`Wooooo0_l0
0?oooooooeWooooo000Mooooo`03o`000?oooooooooo05Cooooo0_l00?l9ooooo`;o003ooooooomI
ooooo`007Oooool00ol0003oooooooooo`1Dooooo`;o003o2Oooool2o`00ooooooooFOooool001go
oooo00?o0000ooooooooool0E?ooool2o`00o`Wooooo0_l00?oooooooeWooooo000Mooooo`03o`00
0?oooooooooo05Cooooo0_l00?l9ooooo`;o003ooooooomIooooo`007Oooool00ol0003ooooooooo
o`1Dooooo`;o003o2?ooool3o`00ooooooooFOooool001gooooo00?o0000ooooooooool0E?ooool2
o`00o`Sooooo0_l00?oooooooe[ooooo000Mooooo`?o0000E?ooool2o`00o`Sooooo0_l00?oooooo
oe[ooooo000Mooooo`03o`000?oooooooooo05Cooooo0_l00?l8ooooo`;o003ooooooomJooooo`00
7Oooool00ol0003oooooooooo`1Dooooo`;o003o2?ooool2o`00ooooooooF_ooool001gooooo00?o
0000ooooooooool0E?ooool2o`00o`Sooooo0_l00?oooooooe[ooooo000Mooooo`03o`000?oooooo
oooo05Cooooo0_l00?l8ooooo`;o003ooooooomJooooo`007Oooool00ol0003oooooooooo`1Doooo
o`;o003o2?ooool2o`00ooooooooF_ooool001gooooo00?o0000ooooooooool0E?ooool2o`00o`So
oooo0_l00?oooooooe[ooooo000Mooooo`?o0000E?ooool2o`00o`Sooooo0_l00?oooooooe[ooooo
000Mooooo`03o`000?oooooooooo05Cooooo0ol00?l7ooooo`;o003ooooooomJooooo`007Oooool0
0ol0003oooooooooo`1Eooooo`;o003o1oooool2o`00ooooooooF_ooool001gooooo00?o0000oooo
ooooool0EOooool2o`00o`Oooooo0_l00?oooooooe[ooooo000Booooo`Go00001_ooool00ol0003o
ooooooooo`1Eooooo`;o003o1oooool2o`00ooooooooF_ooool001?ooooo00Co0000oooooooooooo
00001_ooool00ol0003oooooooooo`1Eooooo`;o003o1oooool2o`00ooooooooF_ooool001Cooooo
00?o0000ooooooooool01_ooool00ol0003oooooooooo`1Eooooo`;o003o1oooool2o`00oooooooo
F_ooool001Gooooo00?o0000ooooooooool01Oooool4o`0005Cooooo0_l00?l7ooooo`;o003ooooo
oomJooooo`004_ooool01Ol0003ooooooooooooooooo000005kooooo0_l00?l7ooooo`;o003ooooo
oomJooooo`004_ooool01Ol0003ooooooooooooooooo00000?oooooo`oooool001?ooooo0ol0003o
ooooolCooooo003oooooom[ooooo0000\
\>"],
  ImageRangeCache->{{{0, 472.562}, {291.688, 0}} -> {-0.0670434, -0.109275, \
0.00227243, 0.00735374}}],

Cell[BoxData[
    FormBox[
      TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
        False,
        Editable->False], TraditionalForm]], "Output"]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["q1 q2~  \[Rule] tt~  production", "Section"],

Cell[CellGroupData[{

Cell["Parameters", "Subsubsection"],

Cell[BoxData[{
    \(\(Ebeam = 200;\)\), "\[IndentingNewLine]", 
    \(\(p1\  = {Ebeam, 0, 0, Ebeam};\)\), "\[IndentingNewLine]", 
    \(\(p2 = \ {Ebeam, 0, 0, \(-Ebeam\)};\)\), "\[IndentingNewLine]", 
    \(\(psum = p1 + p2;\)\), "\[IndentingNewLine]", 
    \(\(mt = 174.3;\)\), "\[IndentingNewLine]", 
    \(\(as = 0.130;\)\), "\[IndentingNewLine]", 
    \(\(gevpb = 389379.66*1000;\)\)}], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
Matrix element squared summed and averaged for tt~ production, \
divided by the initial flux. The inputs are the four momenta. channel=\"qq\", \
returns the value for qq->tt~, channel=\"gg\" returns the value for gg>tt~.\
\
\>", "Subsubsection"],

Cell[BoxData[
    \(\(Msq[p1_, p2_, p3_, p4_, channel_] := \ 
        Module[{m2, s, tau1, tau2, ro}, \[IndentingNewLine]s = 
            2  SP[p1, p2]; \[IndentingNewLine]tau1 = 
            2\ SP[p1, p3]/s; \[IndentingNewLine]tau2 = 
            2\ SP[p2, p3]/s; \[IndentingNewLine]ro = 
            4  mt^2/s; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            matrix\ elements\ for\ qq \[Rule] \ \(tt\ and\ gg\  \[Rule] \ 
                tt\), \ from\ ESW, \ 
            pag . \ 348\ *) \[IndentingNewLine]\[IndentingNewLine]Which[
            channel == "\<qq\>", \[IndentingNewLine]\(m2 = 
                4\/9\ \((4\ Pi\ as)\)\^2\ \((tau1\^2 + tau2\^2 + \ 
                      ro\/2)\);\), \[IndentingNewLine]channel == "\<gg\>", \
\[IndentingNewLine]\(m2\  = \((4\ Pi\ as)\)\^2\ \ \((1\/\(6  tau1\ tau2\) - 
                      3\/8)\)\ \ \((tau1\^2 + tau2\^2 + \ ro - 
                      ro\^2\/\(4\ tau1\ tau2\))\);\)]; \[IndentingNewLine]\
\[IndentingNewLine] (*\ 
            inclusion\ of\ the\ initial\ flux\ *) \[IndentingNewLine]\
\[IndentingNewLine]m2 = \(m2/2\)/
              s; \[IndentingNewLine]\[IndentingNewLine]Return[
            m2];\[IndentingNewLine]\[IndentingNewLine]];\)\)], "Input"]
}, Open  ]],

Cell[CellGroupData[{

Cell["\<\
Phase space for two particles.

INPUT:
x: an array of length 2 which contains the random numbers in [0,1].
ptot: four momentum of the total momentum.
params: an array which contains the masses of the final state particles  \
{m1,m2}.

OUTPUT:
The 3 momenta of the final particles and the phase space weight.\
\>", \
"Subsubsection"],

Cell[BoxData[
    \(\(Phi2[x_, ptot_, params_] := 
        Module[{s, rs, jac, pswgt, costh, phi, xa2, xb2, m1, m2, p1, 
            p2}, \[IndentingNewLine]\[IndentingNewLine] (*initialization\
*) \[IndentingNewLine]\[IndentingNewLine]m1 = 
            params[\([1]\)]; \[IndentingNewLine]m2 = 
            params[\([2]\)]; \[IndentingNewLine]p1 = 
            Table[0, {i, 1, 4}]; \[IndentingNewLine]p2 = 
            p1; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            start\ *) \[IndentingNewLine]\[IndentingNewLine]s = 
            SP[ptot, ptot]; \[IndentingNewLine]rs = 
            Sqrt[s]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            generate\ the\ angles\ and\ momenta\ for\ ptot \[Rule] \ 
              1\ 2\ *) \[IndentingNewLine]\[IndentingNewLine]costh = \(-1\) + 
              2\ x[\([1]\)]; \[IndentingNewLine]phi = \ 
            2\ Pi\ x[\([2]\)]; \[IndentingNewLine]jac = 
            4\ *Pi; \[IndentingNewLine]{p1, p2} = 
            MOM2CX[rs, m1, m2, costh, phi]; \[IndentingNewLine]p1 = 
            BOOST[p1, ptot]; \[IndentingNewLine]p2 = 
            BOOST[p2, ptot]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            phase\ space\ factors\ \
*) \[IndentingNewLine]\[IndentingNewLine]jac = 
            jac/\((2\ Pi)\)^2; \[IndentingNewLine]pswgt = 
            1; \[IndentingNewLine]xa2 = m1^2/s; \[IndentingNewLine]xb2 = 
            m2^2/s; \[IndentingNewLine]pswgt = 
            pswgt/2*Pi*
              Sqrt[lambda[1, xa2, 
                    xb2]]/\((4\ Pi)\); \[IndentingNewLine]\[IndentingNewLine] \
(*final\ jacobian*) \[IndentingNewLine]\[IndentingNewLine]\ 
          pswgt = pswgt*jac; \[IndentingNewLine]\ \[IndentingNewLine]\ 
          Return[{p1, p2, 
              pswgt}];\[IndentingNewLine]\[IndentingNewLine]];\)\)], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[{
  "Function which gives the cross section when integrated in the volume ",
  Cell[BoxData[
      \(TraditionalForm\`\([0, 1]\)\^2\)]],
  ".The ",
  Cell[BoxData[
      \(TraditionalForm\`x\_i\)]],
  "are the inputs in [0,1].   \nchannel=\"gg\" or \"qq\"."
}], "Subsubsection"],

Cell[BoxData[
    \(\(ff[x1_, x2_, channel_] := 
        Module[{xx, 
            aa}, \[IndentingNewLine]xx = {x1, x2}; \n\ \ \ \ \ \ {p3, p4, 
              pswgt} = Phi2[xx, psum, {mt, mt}]; \n\ \ \ \ \ \ EmmeSq = 
            Msq[p1, p2, p3, p4, channel]; \n\ \ \ \ \ \ gamma = 
            EmmeSq*pswgt*gevpb; \[IndentingNewLine]Return[
            gamma];\[IndentingNewLine]];\)\)], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["Calculate the cross section", "Subsection"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Vegas[ff[x1, x2, "\<qq\>"], {x1, 0, 1}, {x2, 0, 1}\ , 
      Compiled \[Rule] False]\)], "Input"],

Cell[BoxData[
    \(TraditionalForm\`"\nIteration 1:  1000 integrand evaluations so far\n\
[1] 25.9015 +- 0.0318548  \tchisq -0 (0 df)"\)], "Print"],

Cell[BoxData[
    \(TraditionalForm\`"\nIteration 2:  2500 integrand evaluations so far\n\
[1] 25.9042 +- 0.00955214  \tchisq 0.00781108 (1 df)"\)], "Print"],

Cell[BoxData[
    FormBox[
      RowBox[{\(Vegas::"success"\), \(\(:\)\(\ \)\), "\<\"Needed \
\\!\\(TraditionalForm\\`2500\\) function evaluations.\"\>"}], 
      TraditionalForm]], "Message"],

Cell[BoxData[
    FormBox[
      RowBox[{"(", "\[NoBreak]", GridBox[{
            {"25.90415039401596`", "0.009552138320792365`", 
              "0.07042558482847515`"}
            },
          ColumnAlignments->{Decimal}], "\[NoBreak]", ")"}], 
      TraditionalForm]], "Output"]
}, Open  ]]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
q1 q2~  \[Rule] tt~ \[Rule](e+ ve b ) (mu- vm~ b~)   (full decay \
matrix element)\
\>", "Section"],

Cell[CellGroupData[{

Cell["Parameters", "Subsubsection"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(Ebeam = 220;\)\[IndentingNewLine] (*\ 
      these\ momenta\ define\ the\ zero\ momentum\ frame\ \((ZMF)\)\ *) \), "\
\[IndentingNewLine]", 
    \(\(pq\  = {Ebeam, 0, 0, Ebeam};\)\), "\[IndentingNewLine]", 
    \(\(pqb = \ {Ebeam, 0, 0, \(-Ebeam\)};\)\), "\[IndentingNewLine]", 
    \(\(psum = pq + pqb;\)\), "\[IndentingNewLine]", 
    \(\(mt = 174.3;\)\), "\[IndentingNewLine]", 
    \(\(mb = 0;\)\), "\[IndentingNewLine]", 
    \(\(mw = 80.419;\)\), "\[IndentingNewLine]", 
    \(\(Gammaw = 2.0479;\)\), "\[IndentingNewLine]", 
    \(\(Gammat = 0.168*9;\)\), "\[IndentingNewLine]", 
    \(\(gw = 0.6532;\)\), "\[IndentingNewLine]", 
    \(\(aw = gw^2/\((4\ Pi)\);\)\), "\[IndentingNewLine]", 
    \(\(as = 0.130;\)\), "\[IndentingNewLine]", 
    \(\(gevpb = 389379.66*1000;\)\), "\[IndentingNewLine]", 
    \(Sqrt[1 - 4  mt^2/SP[psum, psum]]\), "\[IndentingNewLine]", 
    \(\)}], "Input"],

Cell[BoxData[
    \(TraditionalForm\`0.6101671292521702`\)], "Output"]
}, Open  ]],

Cell[BoxData[""], "Input"]
}, Open  ]],

Cell[CellGroupData[{

Cell["\<\
Matrix element squared summed and averaged for tt~ production, \
divided by the initial flux. Momenta must be given in the ZMF for the \
calculation of cmq,ceq,cqt,sqt,cmt,cet. ceb and cmb are to be calculated in \
the respective rest frames of the W+ and W-\
\>", "Subsubsection"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(MsqTT[pq_, pqb_, pb_, pe_, pve_, pbb_, pm_, pvm_] := \ 
        Module[\[IndentingNewLine]{pt, ptb, beta, gamma, m2, pew, pmw, pbw, 
            pbbw, s, ro, cebhat, ceb, cmb, cmt, cet, cqt, ceq, cmq, cem, 
            sqt}, \[IndentingNewLine]\[IndentingNewLine]pt = 
            pb + pe + pve; \[IndentingNewLine]ptb = 
            pbb + pm + pvm; \[IndentingNewLine]pbw = {0, 0, 0, 
              0}; \[IndentingNewLine]pbbw = {0, 0, 0, 
              0}; \[IndentingNewLine]s = 
            2  SP[pq, pqb]; \[IndentingNewLine]ro = 
            4  mt^2/s; \[IndentingNewLine]beta = 
            Sqrt[1 - ro]; \[IndentingNewLine]gamma = 
            1/Sqrt[ro]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            first\ calculate\ the\ angles\ in\ the\ \
ZMF*) \[IndentingNewLine]cqt = CosTheta[pq, pt]; \[IndentingNewLine]sqt = 
            Sqrt[1 - cqt^2]; \[IndentingNewLine]\[IndentingNewLine]ceq = 
            CosTheta[pe, pq]; \[IndentingNewLine]cet = 
            CosTheta[pe, pt]; \[IndentingNewLine]\[IndentingNewLine]cmq = 
            CosTheta[pm, pqb]; \[IndentingNewLine]cmt = 
            CosTheta[pm, ptb]; \[IndentingNewLine]\[IndentingNewLine]cem = 
            CosTheta[pe, pm]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            calculate\ the\ angles\ of\ the\ leptons\ in\ the\ W + \ 
              and\ W - \ 
              frames\ *) \[IndentingNewLine]pwp = \(-\((pe + 
                  pve)\)\); \[IndentingNewLine]pwm = \(-\((pm + 
                  pvm)\)\); \[IndentingNewLine]pwp[\([1]\)] = \(-pwp[\([1]\)]\
\); \[IndentingNewLine]pwm[\([1]\)] = \(-pwm[\([1]\)]\); \[IndentingNewLine]\
\[IndentingNewLine]\[IndentingNewLine]pbw = 
            BOOST[pb, pwp]; \[IndentingNewLine]pew = 
            BOOST[pe, pwp]; \[IndentingNewLine]\[IndentingNewLine]pbbw = 
            BOOST[pbb, pwm]; \[IndentingNewLine]pmw = \ 
            BOOST[pm, pwm]; \[IndentingNewLine]\[IndentingNewLine]ceb = 
            CosTheta[pbw, pew]; \[IndentingNewLine]cmb = 
            CosTheta[pbbw, pmw]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            matrix\ elements\ for\ \(\(qq\)\(~\)\) \[Rule] \ tt, \ 
            hep - ph/
                9706304\ *) \[IndentingNewLine]\[IndentingNewLine]\
\[IndentingNewLine]pre = \(\(gw^4\)\(\ \)\)\/\(4\ \((mt\ Gammat)\)\^2\); \
\[IndentingNewLine]\[IndentingNewLine]ta = 
            pre \((mt^2 - 
                  2\ SP[pe, 
                      pve])\) \(\(\ \)\(mt^2 \((1 - ceb\^2)\) + \ 2\ SP[pe, \
pve] \((1 + ceb)\)\^2\)\)\/\(\((2\ SP[pe, pve] - mw\^2)\)\^2 + \ \((Gammaw\ \
mw)\)\^2\); \[IndentingNewLine]tab = 
            pre \((mt^2 - 
                  2\ SP[pm, 
                      pvm])\) \(\(\ \)\(mt^2 \((1 - cmb\^2)\) + \ 2\ SP[pm, \
pvm] \((1 + cmb)\)\^2\)\)\/\(\((2\ SP[pm, pvm] - mw\^2)\)\^2 + \ \((Gammaw\ \
mw)\)\^2\); \[IndentingNewLine]m2 = \ \(\(\(\((4\ Pi\ as)\)\^2\)\(\ \)\)\/9\) 
              ta*\ tab*\((\((2 - 
                      beta\^2\ sqt\^2)\) - \(\((1 - ceq\ cmq)\) - beta\ \
\((cmt\  + cet)\) + \ beta\ cqt\ \((ceq + cmq)\)\  + \ 1/2\ beta^2\ sqt^2\ \
\((1 - cem)\)\)\/\(gamma^2\ \((1 - beta\ cet)\)\ \((1 - beta\ cmt)\)\))\); \
\[IndentingNewLine]\[IndentingNewLine]\[IndentingNewLine] (*\ 
            inclusion\ of\ the\ initial\ flux\ *) \[IndentingNewLine]\
\[IndentingNewLine]m2 = \(m2/2\)/
              s; \[IndentingNewLine]\[IndentingNewLine]Return[
            m2];\[IndentingNewLine]\[IndentingNewLine]];\)\)], "Input"],

Cell[BoxData[
    FormBox[
      RowBox[{\(General::"spell1"\), \(\(:\)\(\ \)\), "\<\"Possible spelling \
error: new symbol name \\\"\\!\\(TraditionalForm\\`beta\\)\\\" is similar to \
existing symbol \\\"\\!\\(TraditionalForm\\`Beta\\)\\\".\"\>"}], 
      TraditionalForm]], "Message"],

Cell[BoxData[
    FormBox[
      RowBox[{\(General::"spell1"\), \(\(:\)\(\ \)\), "\<\"Possible spelling \
error: new symbol name \\\"\\!\\(TraditionalForm\\`gamma\\)\\\" is similar to \
existing symbol \\\"\\!\\(TraditionalForm\\`Gamma\\)\\\".\"\>"}], 
      TraditionalForm]], "Message"],

Cell[BoxData[
    FormBox[
      RowBox[{\(General::"spell"\), \(\(:\)\(\ \)\), "\<\"Possible spelling \
error: new symbol name \\\"\\!\\(TraditionalForm\\`pbbw\\)\\\" is similar to \
existing symbols \\!\\(TraditionalForm\\`\\({pbb, pbw}\\)\\).\"\>"}], 
      TraditionalForm]], "Message"],

Cell[BoxData[
    FormBox[
      RowBox[{\(General::"spell1"\), \(\(:\)\(\ \)\), "\<\"Possible spelling \
error: new symbol name \\\"\\!\\(TraditionalForm\\`tab\\)\\\" is similar to \
existing symbol \\\"\\!\\(TraditionalForm\\`Tab\\)\\\".\"\>"}], 
      TraditionalForm]], "Message"],

Cell[BoxData[
    FormBox[
      RowBox[{\(General::"stop"\), \(\(:\)\(\ \)\), "\<\"Further output of \
\\!\\(TraditionalForm\\`\\(General :: \\\"spell1\\\"\\)\\) will be suppressed \
during this calculation.\"\>"}], TraditionalForm]], "Message"]
}, Open  ]],

Cell["check the matrix element against MadGraph", "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(dsiguu = 5915.84796\), "\n", 
    \(\(Pq = {200.000000000000000, 0.000000000000000, 0.000000000000000, 
          200.000000000000000};\)\), "\n", 
    \(\(Pqb = {200.000000000000000, 0.000000000000000, 
          0.000000000000000, \(-200.000000000000000\)};\)\), "\n", 
    \(\(Pb = {46.572642255938540, 34.897558228069109, 
          28.833151059160027, \(-10.946270433705514\)};\)\), "\n", 
    \(\(Pbb = {94.270778282554218, 88.724754117517620, 
          3.024989803798522, \(-31.713515753720035\)};\)\), "\n", 
    \(\(Pe = {111.800803917467817, \(-94.012734182798397\), \
\(-29.615126770051678\), \(-52.763337976859873\)};\)\), "\n", 
    \(\(Pm = {48.384357892271723, 2.735985567654750, \(-42.862627840873451\), 
          22.279039615652231};\)\), "\n", 
    \(\(Pve = {40.801322525238085, \(-30.692673191600964\), 
          6.447102135143032, 26.098708899505258};\)\), "\n", 
    \(\(Pvm = {58.170095126529681, \(-1.652890538842172\), 
          34.172511612823548, 47.045375649127912};\)\n\n\), "\n", 
    \(MsqTT[Pq, Pqb, Pb, Pe, Pve, Pbb, Pm, Pvm]*2*SP[psum, psum]/dsiguu*
      gevpb\)}], "Input"],

Cell[BoxData[
    \(TraditionalForm\`5915.84796`\)], "Output"],

Cell[BoxData[
    \(TraditionalForm\`6.358735901081007`\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(SP[Pm, Pm] // Sqrt\)], "Input"],

Cell[BoxData[
    \(TraditionalForm\`7.152557373046875`*^-7\)], "Output"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["\<\
Generates the phase space of 3 particles, by iteration of the 1->2 \
decay:
t-> w b, w-> lv. 

INPUT:
x: an array of length 5 which contains the random numbers in [0,1].
p1: four momentum of the decaying particle (top).
params: an array which contains the masses of the final state particles and \
the width of the W {mw,gw,mb,ml,mv}.
BW: is a logical value. If true the Breit-Wigner is \"flattened out\" through \
an analytic transformation realized
by Transpole. If false, the invariant mass of the W is generated uniformly.

OUTPUT:
The 3 momenta of the final particles and the phase space weight\
\>", \
"Subsubsection"],

Cell[BoxData[
    \(\(Phi3BW[x_, p1_, params_, BW_] := 
        Module[{s, rs, s2, rs2, jac, jacpole, pswgt, costh, phi, costh1, 
            phi1, mb, ml, mv, mw, gw, pw, pb, pl, pv, xa2, 
            xb2}, \[IndentingNewLine]\[IndentingNewLine] (*initialization\
*) \[IndentingNewLine]mw = params[\([1]\)]; \[IndentingNewLine]gw = 
            params[\([2]\)]; \[IndentingNewLine]mb = 
            params[\([3]\)]; \[IndentingNewLine]ml = 
            params[\([4]\)]; \[IndentingNewLine]mv = 
            params[\([5]\)]; \[IndentingNewLine]pw = 
            Table[0, {i, 1, 4}]; \[IndentingNewLine]pb = 
            pw; \[IndentingNewLine]pl = pw; \[IndentingNewLine]pv = 
            pw; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            start\ *) \[IndentingNewLine]s = 
            SP[p1, p1]; \[IndentingNewLine]rs = 
            Sqrt[s]; \[IndentingNewLine]If[
            BW, \[IndentingNewLine] (*\ 
              make\ the\ analytic\ transformation\ *) \[IndentingNewLine]{s2, 
                jacpole} = 
              Transpole[mw^2/s, mw\ gw/s, 
                x[\([3]\)]]; \[IndentingNewLine]s2 = 
              s2*s; \[IndentingNewLine]rs2 = 
              Sqrt[s2]; \[IndentingNewLine]jac = 
              jacpole*s;\[IndentingNewLine], \[IndentingNewLine]\  (*\ 
              generate\ it\ flat\ *) \[IndentingNewLine]s2 = \((s - mb^2)\)*
                  x[\([3]\)] + mb^2; \[IndentingNewLine]rs2 = 
              Sqrt[s2]; \[IndentingNewLine]jac = \((s - 
                  mb^2)\);\[IndentingNewLine]]; \[IndentingNewLine]\
\[IndentingNewLine] (*\ 
            check\ kinematic\ boundaries\ *) \[IndentingNewLine]If[
            rs2 > \((rs - mb)\)\  || \ 
              rs2 < \((ml + mv)\), \[IndentingNewLine]\(Return[
                0];\)]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            generate\ the\ angles\ *) \[IndentingNewLine]costh = \(-1\) + 
              2\ x[\([1]\)]; \[IndentingNewLine]phi = \ 
            2\ Pi\ x[\([2]\)]; \[IndentingNewLine]jac = 
            jac*\ 4\ *Pi; \[IndentingNewLine]costh1 = \(-1\) + 
              2\ x[\([4]\)]; \[IndentingNewLine]phi1 = \ 
            2*Pi*x[\([5]\)]; \[IndentingNewLine]jac = 
            jac*4\ *Pi; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            generate\ the\ four - momenta\ *) \[IndentingNewLine]{pw, pb} = 
            MOM2CX[rs, rs2, mb, costh, phi]; \[IndentingNewLine]{pl, pv} = 
            MOM2CX[rs2, ml, mv, costh1, phi1]; \[IndentingNewLine]pb = 
            BOOST[pb, p1]; \[IndentingNewLine]pw = 
            BOOST[pw, p1]; \[IndentingNewLine]pl = 
            BOOST[pl, pw]; \[IndentingNewLine]pv = 
            BOOST[pv, pw]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            phase\ space\ factors\ *) \[IndentingNewLine]jac = 
            jac/\((2\ Pi)\)^5; \[IndentingNewLine]pswgt = 
            1\ \ \ \  (*\(/\)\((2*rs)\)*) ; \[IndentingNewLine]xa2 = 
            s2/s; \[IndentingNewLine]xb2 = mb^2/s; \[IndentingNewLine]pswgt = 
            pswgt/2*Pi*
              Sqrt[lambda[1, xa2, xb2]]/\((4\ Pi)\); \[IndentingNewLine]xa2 = 
            ml^2/s; \[IndentingNewLine]xb2 = 
            mv^2/s; \[IndentingNewLine]pswgt = 
            pswgt/2*Pi\ Sqrt[
                  lambda[1, xa2, 
                    xb2]]/\((4\ Pi)\); \n\ \ \ \ \[IndentingNewLine] (*final\ \
jacobian*) \[IndentingNewLine]\[IndentingNewLine]\ 
          pswgt = pswgt*
              jac; \[IndentingNewLine]\ \[IndentingNewLine]\ \ Return[{pb, 
              pl, pv, pswgt}];\[IndentingNewLine]\[IndentingNewLine]];\)\)], \
"Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
Phase space for two particles.

INPUT:
x: an array of length 2 which contains the random numbers in [0,1].
ptot: four momentum of the total momentum.
params: an array which contains the masses of the final state particles  \
{m1,m2}.

OUTPUT:
The 3 momenta of the final particles and the phase space weight.\
\>", \
"Subsubsection"],

Cell[BoxData[
    \(\(Phi2[x_, ptot_, params_] := 
        Module[{s, rs, jac, pswgt, costh, phi, xa2, xb2, m1, m2, p1, 
            p2}, \[IndentingNewLine]\[IndentingNewLine] (*initialization\
*) \[IndentingNewLine]\[IndentingNewLine]m1 = 
            params[\([1]\)]; \[IndentingNewLine]m2 = 
            params[\([2]\)]; \[IndentingNewLine]p1 = 
            Table[0, {i, 1, 4}]; \[IndentingNewLine]p2 = 
            p1; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            start\ *) \[IndentingNewLine]\[IndentingNewLine]s = 
            SP[ptot, ptot]; \[IndentingNewLine]rs = 
            Sqrt[s]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            generate\ the\ angles\ and\ momenta\ for\ ptot \[Rule] \ 
              1\ 2\ *) \[IndentingNewLine]\[IndentingNewLine]costh = \(-1\) + 
              2\ x[\([1]\)]; \[IndentingNewLine]phi = \ 
            2\ Pi\ x[\([2]\)]; \[IndentingNewLine]jac = 
            4\ *Pi; \[IndentingNewLine]{p1, p2} = 
            MOM2CX[rs, m1, m2, costh, phi]; \[IndentingNewLine]p1 = 
            BOOST[p1, ptot]; \[IndentingNewLine]p2 = 
            BOOST[p2, ptot]; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            phase\ space\ factors\ \
*) \[IndentingNewLine]\[IndentingNewLine]jac = 
            jac/\((2\ Pi)\)^2; \[IndentingNewLine]pswgt = 
            1; \[IndentingNewLine]xa2 = m1^2/s; \[IndentingNewLine]xb2 = 
            m2^2/s; \[IndentingNewLine]pswgt = 
            pswgt/2*Pi*
              Sqrt[lambda[1, xa2, 
                    xb2]]/\((4\ Pi)\); \[IndentingNewLine]\[IndentingNewLine] \
(*final\ jacobian*) \[IndentingNewLine]\[IndentingNewLine]\ 
          pswgt = pswgt*jac; \[IndentingNewLine]\ \[IndentingNewLine]\ 
          Return[{p1, p2, 
              pswgt}];\[IndentingNewLine]\[IndentingNewLine]];\)\)], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[{
  "Function which gives the cross section when integrated in the volume ",
  Cell[BoxData[
      \(TraditionalForm\`\([0, 1]\)\^2\)]],
  ".The ",
  Cell[BoxData[
      \(TraditionalForm\`x\_i\)]],
  "are the inputs in [0,1].   "
}], "Subsubsection"],

Cell[BoxData[
    \(\(ff[x1_, x2_, x3_, x4_, x5_, x6_, x7_, x8_, x9_, x10_, x11_, x12_] := 
        Module[{cos, p1, p2, pe1, pe2, xx, aa, pswgt, 
            wgt}, \[IndentingNewLine] (*1/\((Gammat\ mt)\)^2\  \[Rule] \ \(Pi/
                  Gammat\)/mt*) \[IndentingNewLine]wgt = 
            1/\((2\ Pi)\)^2*\(Pi^2/mt^2\)/
                Gammat^2\ *\((mt^2\ Gammat^2)\)^2; \[IndentingNewLine]xx = \
{x1, x2}; \n\ \ \ \ \ \ {pt, ptb, pswgt} = 
            Phi2[xx, psum, {mt, mt}]; \[IndentingNewLine]wgt = 
            wgt*pswgt; \[IndentingNewLine]xx = {x3, x4, x5, x6, 
              x7}; \[IndentingNewLine]aa = 
            Phi3BW[xx, pt, {mw, Gammaw, mb, 0, 0}, 
              True]; \[IndentingNewLine]If[
            aa =!= 0, {pb, pe, pve, pswgt} = aa, 
            Return[0]]; \[IndentingNewLine]wgt = 
            wgt*pswgt; \[IndentingNewLine]xx = {x8, x9, x10, x11, 
              x12}; \[IndentingNewLine]aa = 
            Phi3BW[xx, ptb, {mw, Gammaw, mb, 0, 0}, 
              True]; \[IndentingNewLine]If[
            aa =!= 0, {pbb, pm, pvm, pswgt} = aa, 
            Return[0]]; \[IndentingNewLine]wgt = 
            wgt*pswgt; \[IndentingNewLine]EmmeSq = 
            MsqTT[pq, pqb, pb, pe, pve, pbb, pm, 
              pvm]; \n\ \ \ \ \ \ \ \ gamma = 
            EmmeSq*wgt*gevpb; \[IndentingNewLine]\[IndentingNewLine] (*\ 
            calculate\ the\ angles\ between\ the\ leptons\ \
*) \[IndentingNewLine]p1 = \(-pt\); \[IndentingNewLine]p2 = \(-ptb\); \
\[IndentingNewLine]p1[\([1]\)] = \(-p1[\([1]\)]\); \
\[IndentingNewLine]p2[\([1]\)] = \(-p2[\([1]\)]\); \[IndentingNewLine]\
\[IndentingNewLine]\[IndentingNewLine]pe1 = 
            BOOST[pe, p1]; \[IndentingNewLine]pe2 = 
            BOOST[pm, p2]; \[IndentingNewLine]\[IndentingNewLine]cos = 
            CosTheta[pe1, pe2]; \[IndentingNewLine]Write[
            ciccio, {cos, gamma}]; \[IndentingNewLine]WriteString[
            ciccio, "\<,\>"]; \[IndentingNewLine]\[IndentingNewLine]Return[
            gamma];\[IndentingNewLine]\[IndentingNewLine]\[IndentingNewLine]\
\[IndentingNewLine]];\)\)], "Input"]
}, Open  ]],

Cell[CellGroupData[{

Cell["Calculate the cross section", "Subsection"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(\(\[IndentingNewLine]\)\(\(ciccio = 
        OpenWrite["\<prova\>"];\)\[IndentingNewLine]
    \(WriteString[ciccio, "\<histo={\>"];\)\n
    \(Vegas[
        ff[x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12], {x1, 0, 
          1}, {x2, 0, 1}\ , {x3, 0, 1}, {x4, 0, 1}, {x5, 0, 1}, {x6, 0, 
          1}, {x7, 0, 1}, {x8, 0, 1}, {x9, 0, 1}, {x10, 0, 1}, {x11, 0, 
          1}, {x12, 0, 1}, Compiled \[Rule] False, 
        MaxPoints \[Rule] \ 10000];\)\n
    WriteString[ciccio, "\<{1,0}};\>"]; Close[ciccio]\)\)\)], "Input"],

Cell[BoxData[
    \(TraditionalForm\`"\nIteration 1:  1000 integrand evaluations so far\n\
[1] 0.315829 +- 0.00648571  \tchisq -0 (0 df)"\)], "Print"],

Cell[BoxData[
    \(TraditionalForm\`"\nIteration 2:  2500 integrand evaluations so far\n\
[1] 0.317021 +- 0.00428438  \tchisq 0.0600085 (1 df)"\)], "Print"],

Cell[BoxData[
    \(TraditionalForm\`"\nIteration 3:  4500 integrand evaluations so far\n\
[1] 0.316365 +- 0.00325219  \tchisq 0.115435 (2 df)"\)], "Print"],

Cell[BoxData[
    \(TraditionalForm\`"\nIteration 4:  7000 integrand evaluations so far\n\
[1] 0.314562 +- 0.00256801  \tchisq 0.931906 (3 df)"\)], "Print"],

Cell[BoxData[
    \(TraditionalForm\`"\nIteration 5:  10000 integrand evaluations so far\n\
[1] 0.313353 +- 0.00212722  \tchisq 1.63756 (4 df)"\)], "Print"],

Cell[BoxData[
    FormBox[
      RowBox[{\(Vegas::"accuracy"\), \(\(:\)\(\ \)\), "\<\"Desired accuracy \
was not reached within \\!\\(TraditionalForm\\`10000\\) function evaluations.\
\"\>"}], TraditionalForm]], "Message"],

Cell[BoxData[
    \(TraditionalForm\`"prova"\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(\(\(25/9\)/9 // N\)\(\[IndentingNewLine]\)
    \)\)], "Input"],

Cell[BoxData[
    \(TraditionalForm\`0.30864197530864196`\)], "Output"]
}, Open  ]],

Cell[BoxData[""], "Input"],

Cell[BoxData[
    \(\(<< prova;\)\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(delta = 0.1;\)\), "\[IndentingNewLine]", 
    \(histos = Table[0, {i, 1, 20}]\), "\[IndentingNewLine]", 
    \(\(Do[\[IndentingNewLine]temp = 
          histo[\([i]\)]; \[IndentingNewLine]Do[\[IndentingNewLine]If[
            temp[\([1]\)] > delta*\((n - 1)\)\  && temp[\([1]\)] < delta*n, 
            histos[\([n + 10]\)] = 
              histos[\([n + 10]\)] + temp[\([2]\)]], {n, \(-9\), 10}], {i, 1, 
          Length[histo]}];\)\)}], "Input"],

Cell[BoxData[
    \(TraditionalForm\`{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0}\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(\(\[IndentingNewLine]\)\(histos\)\)\)], "Input"],

Cell[BoxData[
    \(TraditionalForm\`{190.9471745349968`, 196.78819749695944`, 
      212.18157229186997`, 172.871714906817`, 179.6786441985873`, 
      200.41811137682768`, 182.34066516973752`, 178.33509465544827`, 
      158.90529237940962`, 161.70328780110492`, 153.7816069864795`, 
      145.65836352229687`, 141.8384028139575`, 136.47144373398962`, 
      121.6841947804579`, 136.72262923801202`, 129.84851182412464`, 
      118.39200538067959`, 103.4849262058463`, 
      114.14112751743937`}\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(dafit = 
      Table[{0.05 + \((i - 1)\)*delta, histos[\([i]\)]}, {i, 1, 
          20}]\)], "Input"],

Cell[BoxData[
    FormBox[
      RowBox[{"(", "\[NoBreak]", GridBox[{
            {"0.05`", "190.9471745349968`"},
            {"0.15000000000000002`", "196.78819749695944`"},
            {"0.25`", "212.18157229186997`"},
            {"0.35000000000000003`", "172.871714906817`"},
            {"0.45`", "179.6786441985873`"},
            {"0.55`", "200.41811137682768`"},
            {"0.6500000000000001`", "182.34066516973752`"},
            {"0.7500000000000001`", "178.33509465544827`"},
            {"0.8500000000000001`", "158.90529237940962`"},
            {"0.9500000000000001`", "161.70328780110492`"},
            {"1.05`", "153.7816069864795`"},
            {"1.1500000000000001`", "145.65836352229687`"},
            {"1.2500000000000002`", "141.8384028139575`"},
            {"1.35`", "136.47144373398962`"},
            {"1.4500000000000002`", "121.6841947804579`"},
            {"1.55`", "136.72262923801202`"},
            {"1.6500000000000001`", "129.84851182412464`"},
            {"1.7500000000000002`", "118.39200538067959`"},
            {"1.85`", "103.4849262058463`"},
            {"1.9500000000000002`", "114.14112751743937`"}
            },
          ColumnAlignments->{Decimal}], "\[NoBreak]", ")"}], 
      TraditionalForm]], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(ListPlot[dafit]\)], "Input"],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.4884 -0.545667 0.00541511 [
[.26801 -0.01666 -9 -9 ]
[.26801 -0.01666 9 0 ]
[.51221 -0.01666 -3 -9 ]
[.51221 -0.01666 3 0 ]
[.75641 -0.01666 -9 -9 ]
[.75641 -0.01666 9 0 ]
[.01131 .10415 -18 -4.5 ]
[.01131 .10415 0 4.5 ]
[.01131 .21245 -18 -4.5 ]
[.01131 .21245 0 4.5 ]
[.01131 .32075 -18 -4.5 ]
[.01131 .32075 0 4.5 ]
[.01131 .42905 -18 -4.5 ]
[.01131 .42905 0 4.5 ]
[.01131 .53735 -18 -4.5 ]
[.01131 .53735 0 4.5 ]
[ 0 -0.00416 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.26801 -0.00416 m
.26801 .00209 L
s
[(0.5)] .26801 -0.01666 0 1 Mshowa
.51221 -0.00416 m
.51221 .00209 L
s
[(1)] .51221 -0.01666 0 1 Mshowa
.75641 -0.00416 m
.75641 .00209 L
s
[(1.5)] .75641 -0.01666 0 1 Mshowa
.125 Mabswid
.07265 -0.00416 m
.07265 -0.00041 L
s
.12149 -0.00416 m
.12149 -0.00041 L
s
.17033 -0.00416 m
.17033 -0.00041 L
s
.21917 -0.00416 m
.21917 -0.00041 L
s
.31685 -0.00416 m
.31685 -0.00041 L
s
.36569 -0.00416 m
.36569 -0.00041 L
s
.41453 -0.00416 m
.41453 -0.00041 L
s
.46337 -0.00416 m
.46337 -0.00041 L
s
.56105 -0.00416 m
.56105 -0.00041 L
s
.60989 -0.00416 m
.60989 -0.00041 L
s
.65873 -0.00416 m
.65873 -0.00041 L
s
.70757 -0.00416 m
.70757 -0.00041 L
s
.80525 -0.00416 m
.80525 -0.00041 L
s
.85409 -0.00416 m
.85409 -0.00041 L
s
.90293 -0.00416 m
.90293 -0.00041 L
s
.95177 -0.00416 m
.95177 -0.00041 L
s
.25 Mabswid
0 -0.00416 m
1 -0.00416 L
s
.02381 .10415 m
.03006 .10415 L
s
[(120)] .01131 .10415 1 0 Mshowa
.02381 .21245 m
.03006 .21245 L
s
[(140)] .01131 .21245 1 0 Mshowa
.02381 .32075 m
.03006 .32075 L
s
[(160)] .01131 .32075 1 0 Mshowa
.02381 .42905 m
.03006 .42905 L
s
[(180)] .01131 .42905 1 0 Mshowa
.02381 .53735 m
.03006 .53735 L
s
[(200)] .01131 .53735 1 0 Mshowa
.125 Mabswid
.02381 .02292 m
.02756 .02292 L
s
.02381 .04999 m
.02756 .04999 L
s
.02381 .07707 m
.02756 .07707 L
s
.02381 .13122 m
.02756 .13122 L
s
.02381 .1583 m
.02756 .1583 L
s
.02381 .18537 m
.02756 .18537 L
s
.02381 .23952 m
.02756 .23952 L
s
.02381 .2666 m
.02756 .2666 L
s
.02381 .29367 m
.02756 .29367 L
s
.02381 .34783 m
.02756 .34783 L
s
.02381 .3749 m
.02756 .3749 L
s
.02381 .40198 m
.02756 .40198 L
s
.02381 .45613 m
.02756 .45613 L
s
.02381 .4832 m
.02756 .4832 L
s
.02381 .51028 m
.02756 .51028 L
s
.02381 .56443 m
.02756 .56443 L
s
.02381 .59151 m
.02756 .59151 L
s
.25 Mabswid
.02381 0 m
.02381 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
.008 w
.04823 .48833 Mdot
.09707 .51996 Mdot
.14591 .60332 Mdot
.19475 .39045 Mdot
.24359 .42731 Mdot
.29243 .53962 Mdot
.34127 .44173 Mdot
.39011 .42004 Mdot
.43895 .31482 Mdot
.48779 .32997 Mdot
.53663 .28708 Mdot
.58547 .24309 Mdot
.63431 .2224 Mdot
.68315 .19334 Mdot
.73199 .11327 Mdot
.78083 .1947 Mdot
.82967 .15748 Mdot
.87851 .09544 Mdot
.92735 .01472 Mdot
.97619 .07242 Mdot
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{288, 177.938},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40004P0000/B000`400?l00000o`00003ooooooolQ
ooooo`00D_ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3o`0003Sooooo0ol0000goooo
o`?o00001?ooool00ol0003oooooooooo`02ooooo`?o0000?oooool0057ooooo00Co0000oooooooo
oooo00001oooool01Ol0003ooooooooooooooooo000003Sooooo00?o0000ooooooooool0=oooool0
0ol0003oooooooooo`07ooooo`05o`000?ooooooooooooooool00000?_ooool0057ooooo00Co0000
oooooooooooo00002oooool00ol0003oooooooooo`0fooooo`03o`000?oooooooooo03Oooooo00?o
0000ooooooooool02oooool00ol0003oooooooooo`0looooo`00DOooool01?l0003oooooooooool0
000;ooooo`03o`000?oooooooooo03Kooooo00?o0000ooooooooool0=oooool00ol0003ooooooooo
o`0;ooooo`03o`000?oooooooooo03cooooo001Aooooo`04o`000?ooooooooooo`0000Oooooo1?l0
000iooooo`03o`000?oooooooooo03Oooooo00?o0000ooooooooool01oooool4o`0003oooooo001A
ooooo`04o`000?ooooooooooo`0000Oooooo00?o0000ooooooooool0>Oooool2o`0003Sooooo0_l0
0009ooooo`03o`000?oooooooooo043ooooo001Booooo`;o00002?ooool5o`0003Sooooo00?o0000
ooooooooool0=oooool00ol0003oooooooooo`07ooooo`Go0000?_ooool00?oooooo8Oooool00?oo
oooo8Oooool00?oooooo8Oooool00?oooooo8Oooool001;oooooool0000;o`0000Cooooo000Ioooo
o`03o`000?oooooooooo00Wooooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:oooo
o`03o`000?oooooooooo00[ooooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:oooo
o`03o`000?oooooooooo00[ooooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:oooo
o`03o`000?oooooooooo00[ooooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:oooo
o`03o`000?oooooooooo00[ooooo00?o0000ooooooooool02Oooool00ol0003oooooooooo`0:oooo
o`03o`000?oooooooooo00[ooooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:oooo
o`03o`000?oooooooooo00[ooooo00?o0000ooooooooool03oooool001Wooooo00?o0000oooooooo
ool0?Oooool00ol0003oooooooooo`0nooooo`03o`000?oooooooooo03gooooo00?o0000oooooooo
ool0@oooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`006Oooool00ol0003ooooooooo
o`3[ooooo`;o00005oooool001Wooooo00?o0000ooooooooool0joooool2o`0001Oooooo000Ioooo
o`03o`000?oooooooooo0?oooooo1Oooool001Wooooo0_l0003oooooo`Kooooo000Iooooo`03o`00
0?oooooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`006Oooool0
0ol0003oooooooooo`3oooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wo
oooo00?o0000ooooooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo
000Iooooo`;o0000ooooool6ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo000Ioooo
o`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`00
6Oooool00ol0003oooooooooo`3oooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Ooo
ool001Wooooo00?o0000ooooooooool0n?ooool2o`0000[ooooo000Iooooo`;o0000nOooool2o`00
00[ooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0
ooooool5ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo000Iooooo`03o`000?oooooo
oooo0?oooooo1Oooool000Cooooo0ol00002ooooo`Go00000oooool2o`0000Kooooo00?o0000oooo
ooooool0g_ooool2o`0002Cooooo0005ooooo`03o`000?oooooooooo00;ooooo00Co0000oooooooo
oooo00000_ooool01?l0003oooooooooool00005ooooo`03o`000?oooooooooo0=kooooo0_l0000T
ooooo`001Oooool00ol0003oooooooooo`03ooooo`03o`000?oooooooooo00;ooooo00Co0000oooo
oooooooo00001Oooool00ol0003oooooooooo`3oooooo`Gooooo0005ooooo`03o`000?oooooooooo
00Cooooo00Go0000ooooooooooooooooo`000002ooooo`03o`000?oooooooooo00?ooooo0_l0003o
ooooo`Kooooo0005ooooo`05o`000?ooooooooooooooool000000oooool01?l0003oooooooooool0
0002ooooo`03o`000?oooooooooo00?ooooo00?o0000ooooooooool0]oooool2o`0004_ooooo0004
ooooo`;o00000oooool01Ol0003ooooooooooooooooo000000;ooooo00Co0000oooooooooooo0000
1Oooool00ol0003oooooooooo`2gooooo`;o0000Boooool000Gooooo00?o0000ooooooooool00_oo
ool3o`0000Cooooo0_l00006ooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000
ooooooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo000Iooooo`03
o`000?oooooooooo0?oooooo1Oooool001Wooooo0_l0003oooooo`Kooooo000Iooooo`03o`000?oo
oooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`006Oooool00ol0
003oooooooooo`3oooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo
00?o0000ooooooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3Aooooo`;o0000<Ooo
ool001Wooooo0_l0003Booooo`;o0000<Oooool001Wooooo00?o0000ooooooooool0ooooool5oooo
o`006Oooool00ol0003oooooooooo`3oooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo
1Oooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3o
ooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo0_l0003oooooo`Ko
oooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0Z_oo
ool2o`0001Sooooo0_l0000nooooo`006Oooool00ol0003oooooooooo`2Zooooo`;o00006?ooool2
o`0003kooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool000Cooooo0ol00004ooooo`?o
00000oooool2o`0000Kooooo00?o0000ooooooooool0ooooool5ooooo`001Oooool00ol0003ooooo
ooooo`04ooooo`05o`000?ooooooooooooooool000000_ooool00ol0003oooooooooo`03ooooo`03
o`000?oooooooooo0?oooooo1Oooool000Gooooo00Co0000oooooooooooooooo1Ol00002ooooo`04
o`000?ooooooooooo`0000Gooooo0_l0003oooooo`Kooooo0005ooooo`05o`000?oooooooooooooo
ool000000_ooool01Ol0003ooooooooooooooooo000000;ooooo00?o0000ooooooooool00oooool0
0ol0003oooooooooo`3oooooo`Gooooo0005ooooo`03o`000?oooooooooo00;ooooo00?o0000oooo
ool000000oooool01?l0003oooooooooool00005ooooo`03o`000?oooooooooo09kooooo0_l0001T
ooooo`001?ooool2o`0000Gooooo0_l00003ooooo`04o`000?ooooooooooo`0000Gooooo00?o0000
ooooooooool0W_ooool2o`0006Cooooo0005ooooo`03o`000?oooooooooo00Cooooo00?o0000oooo
ooooool00_ooool2o`0000Kooooo00?o0000ooooooooool0ooooool5ooooo`006Oooool00ol0003o
ooooooooo`3oooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo0_l0
003oooooo`Kooooo000Iooooo`03o`000?oooooooooo097ooooo0_l0001aooooo`006Oooool00ol0
003oooooooooo`2Aooooo`;o0000LOooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`00
6Oooool00ol0003oooooooooo`3oooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Ooo
ool001Wooooo00?o0000ooooooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3ooooo
o`Gooooo000Iooooo`;o0000ooooool6ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo
000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0ooooool5
ooooo`006Oooool00ol0003oooooooooo`24ooooo`;o0000O_ooool001Wooooo00?o0000oooooooo
ool0Q?ooool2o`0007kooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo0_l0
003oooooo`Kooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000oooo
ooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo0004ooooo`?o0000
0oooool3o`0000Cooooo0_l00006ooooo`03o`000?oooooooooo0?oooooo1Oooool000Gooooo00Go
0000ooooooooooooooooo`000003ooooo`04o`000?ooooooooooo`0000;ooooo00?o0000oooooooo
ool00oooool00ol0003oooooooooo`1Zooooo`;o0000V?ooool000Gooooo00Go0000oooooooooooo
ooooo`000003ooooo`04o`000?ooooooooooo`0000;ooooo00?o0000ooooooooool00oooool00ol0
003oooooooooo`1Zooooo`;o0000V?ooool000Gooooo00Co0000oooooooooooooooo1?l00003oooo
o`04o`000?ooooooooooo`0000Gooooo0_l0003oooooo`Kooooo0005ooooo`05o`000?oooooooooo
ooooool000001_ooool01?l0003oooooooooool00005ooooo`03o`000?oooooooooo0?oooooo1Ooo
ool000Cooooo0_l00004ooooo`03o`000?oooooooooo00?ooooo00Co0000oooooooooooo00001Ooo
ool00ol0003oooooooooo`1gooooo`;o0000Roooool000Gooooo00?o0000ooooooooool00oooool2
o`0000Cooooo0_l00006ooooo`03o`000?oooooooooo07Oooooo0_l0002;ooooo`006Oooool00ol0
003oooooooooo`3oooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo
00?o0000ooooooooool0ooooool5ooooo`006Oooool2o`000?oooooo1_ooool001Wooooo00?o0000
ooooooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo000Iooooo`03
o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`006Ooo
ool00ol0003oooooooooo`3oooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool0
01Wooooo0_l0003oooooo`Kooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo
00?o0000ooooooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo000I
ooooo`03o`000?oooooooooo02Wooooo0_l0003Iooooo`006Oooool00ol0003oooooooooo`0Yoooo
o`;o0000fOooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`006Oooool2o`000?oooooo
1_ooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3o
ooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000oooooooo
ool0ooooool5ooooo`001?ooool3o`0000?ooooo0ol00004ooooo`;o00001_ooool00ol0003ooooo
ooooo`1Mooooo`;o0000YOooool000Gooooo00Go0000ooooooooooooooooo`000003ooooo`04o`00
0?ooooooooooo`0000;ooooo00?o0000ooooooooool00oooool00ol0003oooooooooo`1Mooooo`;o
0000YOooool000Gooooo00Go0000ooooooooooooooooo`000003ooooo`04o`000?ooooooooooo`00
00;ooooo00?o0000ooooooooool00oooool2o`0003Oooooo0_l0003<ooooo`001Oooool00ol0003o
ooooooooo`02ooooo`?o00000oooool01?l0003oooooooooool00005ooooo`03o`000?oooooooooo
03Kooooo0_l0003<ooooo`001Oooool01Ol0003ooooooooooooooooo000000?ooooo00Co0000oooo
oooooooo00000_ooool00ol0003oooooooooo`03ooooo`03o`000?oooooooooo0?oooooo1Oooool0
00Cooooo0_l00003ooooo`05o`000?ooooooooooooooool000000_ooool01?l0003oooooooooool0
0005ooooo`03o`000?oooooooooo053ooooo0_l0002booooo`001Oooool00ol0003oooooooooo`02
ooooo`?o00001?ooool2o`0000Kooooo00?o0000ooooooooool0D?ooool2o`000;;ooooo000Ioooo
o`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`00
6Oooool00ol0003oooooooooo`3oooooo`Gooooo000Iooooo`;o0000ooooool6ooooo`006Oooool0
0ol0003oooooooooo`3oooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wo
oooo00?o0000ooooooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo
000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0ooooool5
ooooo`006Oooool2o`000?oooooo1_ooool001Wooooo00?o0000ooooooooool00_ooool2o`000?oo
oooo0Oooool001Wooooo00?o0000ooooooooool00_ooool2o`000?oooooo0Oooool001Wooooo00?o
0000ooooooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo000Ioooo
o`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`00
6Oooool2o`000?oooooo1_ooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`006Oooool0
0ol0003oooooooooo`0?ooooo`;o0000loooool001Wooooo00?o0000ooooooooool03oooool2o`00
0??ooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool000?ooooo1Ol00003ooooo`;o0000
1?ooool2o`0000Kooooo00?o0000ooooooooool0ooooool5ooooo`001?ooool01?l0003ooooooooo
ool00002ooooo`04o`000?ooooooooooo`0000;ooooo00Co0000oooooooooooo00001Oooool00ol0
003oooooooooo`3oooooo`Gooooo0005ooooo`03o`000?oooooooooo00;ooooo00Co0000oooooooo
oooo00000_ooool01?l0003oooooooooool00005ooooo`;o0000A?ooool2o`000;oooooo0006oooo
o`05o`000?ooooooooooooooool000000_ooool01?l0003oooooooooool00002ooooo`03o`000?oo
oooooooo00?ooooo00?o0000ooooooooool0@oooool2o`000;oooooo0003ooooo`05o`000?oooooo
ooooooooool000000_ooool01?l0003oooooooooool00002ooooo`04o`000?ooooooooooo`0000Go
oooo00?o0000ooooooooool0ooooool5ooooo`000oooool01Ol0003ooooooooooooooooo000000;o
oooo00Co0000oooooooooooo00000_ooool01?l0003oooooooooool00005ooooo`03o`000?oooooo
oooo0?oooooo1Oooool000Cooooo0ol00004ooooo`;o00001?ooool2o`0000Kooooo00?o0000oooo
ooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo000Iooooo`03o`00
0?oooooooooo0?oooooo1Oooool001Wooooo0_l0003oooooo`Kooooo000Iooooo`03o`000?oooooo
oooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0ooooool5ooooo`006Oooool00ol0003o
ooooooooo`3oooooo`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o
0000ooooooooool0ooooool5ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo000Ioooo
o`;o0000ooooool6ooooo`006Oooool00ol0003oooooooooo`3oooooo`Gooooo000Iooooo`03o`00
0?oooooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool07?ooool2o`000>Kooooo000I
ooooo`03o`000?oooooooooo01cooooo0_l0003Vooooo`006Oooool00ol0003oooooooooo`3ooooo
o`Gooooo000Iooooo`03o`000?oooooooooo0?oooooo1Oooool001Wooooo00?o0000ooooooooool0
ooooool5ooooo`00\
\>"],
  ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.193503, 91.409, \
0.00773825, 0.697929}}],

Cell[BoxData[
    FormBox[
      TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
        False,
        Editable->False], TraditionalForm]], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(res = Fit[dafit, {1, x}, x]\)], "Input"],

Cell[BoxData[
    \(TraditionalForm\`\(\(207.51617119490754`\)\(\[InvisibleSpace]\)\) - 
      50.7065228541555`\ x\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(\(\[IndentingNewLine]\)\(res/207 // Expand\)\)\)], "Input"],

Cell[BoxData[
    \(TraditionalForm\`\(\(1.0024935806517272`\)\(\[InvisibleSpace]\)\) - 
      0.24495904760461595`\ x\)], "Output"]
}, Open  ]],

Cell[BoxData[""], "Input"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["\<\
Representation of the grid in VEGAS. Each red square has the same \
area\
\>", "Section"],

Cell[BoxData[{
    \(\(<< Graphics`Colors`;\)\), "\n", 
    \(\(ob1 = 
        Plot[{Cos[Pi/2\ x]}, {x, 0, 1}, 
          PlotStyle \[Rule] {{Blue, Thickness[0.007]}}];\)\), "\n", 
    \(\(ob2 = 
        Graphics[{Thickness[0.005], Red, 
            Line[{{1, 0}, {1, \(1/0.4\)/6*inte}}]}];\)\)}], "Input"],

Cell[BoxData[{
    \(\(inte = 0.637;\)\), "\n", 
    \(\(ob3 = 
        Graphics[{Thickness[0.005], Red, 
            Line[{{0, \(1/0.1\)/6*inte}, {0.1, \(1/0.1\)/6*inte}}], 
            Line[{{0.1, 0}, {0.1, \(1/0.1\)/6*inte}}], 
            Line[{{0.1, \(1/0.11\)/6*inte}, {0.21, \(1/0.11\)/6*inte}}], 
            Line[{{0.21, 0}, {0.21, \(1/0.11\)/6*inte}}], 
            Line[{{0.21, \(1/0.11\)/6*inte}, {0.32, \(1/0.11\)/6*inte}}], 
            Line[{{0.32, 0}, {0.32, \(1/0.11\)/6*inte}}], 
            Line[{{0.32, \(1/0.13\)/6*inte}, {0.45, \(1/0.13\)/6*inte}}], 
            Line[{{0.45, 0}, {0.45, \(1/0.13\)/6*inte}}], 
            Line[{{0.45, \(1/0.15\)/6*inte}, {0.6, \(1/0.15\)/6*inte}}], 
            Line[{{0.6, 0}, {0.6, \(1/0.15\)/6*inte}}], 
            Line[{{0.6, \(1/0.4\)/6*inte}, {1, \(1/0.4\)/6*
                    inte}}]}];\)\), "\n", 
    \(\(\(Show[ob1, ob2, ob3]\)\(\n\)
    \)\), "\[IndentingNewLine]", 
    \(\)}], "Input"],

Cell[CellGroupData[{

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.952381 0.0147151 0.554415 [
[.21429 .00222 -9 -9 ]
[.21429 .00222 9 0 ]
[.40476 .00222 -9 -9 ]
[.40476 .00222 9 0 ]
[.59524 .00222 -9 -9 ]
[.59524 .00222 9 0 ]
[.78571 .00222 -9 -9 ]
[.78571 .00222 9 0 ]
[.97619 .00222 -3 -9 ]
[.97619 .00222 3 0 ]
[.01131 .1256 -18 -4.5 ]
[.01131 .1256 0 4.5 ]
[.01131 .23648 -18 -4.5 ]
[.01131 .23648 0 4.5 ]
[.01131 .34736 -18 -4.5 ]
[.01131 .34736 0 4.5 ]
[.01131 .45825 -18 -4.5 ]
[.01131 .45825 0 4.5 ]
[.01131 .56913 -6 -4.5 ]
[.01131 .56913 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.21429 .01472 m
.21429 .02097 L
s
[(0.2)] .21429 .00222 0 1 Mshowa
.40476 .01472 m
.40476 .02097 L
s
[(0.4)] .40476 .00222 0 1 Mshowa
.59524 .01472 m
.59524 .02097 L
s
[(0.6)] .59524 .00222 0 1 Mshowa
.78571 .01472 m
.78571 .02097 L
s
[(0.8)] .78571 .00222 0 1 Mshowa
.97619 .01472 m
.97619 .02097 L
s
[(1)] .97619 .00222 0 1 Mshowa
.125 Mabswid
.07143 .01472 m
.07143 .01847 L
s
.11905 .01472 m
.11905 .01847 L
s
.16667 .01472 m
.16667 .01847 L
s
.2619 .01472 m
.2619 .01847 L
s
.30952 .01472 m
.30952 .01847 L
s
.35714 .01472 m
.35714 .01847 L
s
.45238 .01472 m
.45238 .01847 L
s
.5 .01472 m
.5 .01847 L
s
.54762 .01472 m
.54762 .01847 L
s
.64286 .01472 m
.64286 .01847 L
s
.69048 .01472 m
.69048 .01847 L
s
.7381 .01472 m
.7381 .01847 L
s
.83333 .01472 m
.83333 .01847 L
s
.88095 .01472 m
.88095 .01847 L
s
.92857 .01472 m
.92857 .01847 L
s
.25 Mabswid
0 .01472 m
1 .01472 L
s
.02381 .1256 m
.03006 .1256 L
s
[(0.2)] .01131 .1256 1 0 Mshowa
.02381 .23648 m
.03006 .23648 L
s
[(0.4)] .01131 .23648 1 0 Mshowa
.02381 .34736 m
.03006 .34736 L
s
[(0.6)] .01131 .34736 1 0 Mshowa
.02381 .45825 m
.03006 .45825 L
s
[(0.8)] .01131 .45825 1 0 Mshowa
.02381 .56913 m
.03006 .56913 L
s
[(1)] .01131 .56913 1 0 Mshowa
.125 Mabswid
.02381 .04244 m
.02756 .04244 L
s
.02381 .07016 m
.02756 .07016 L
s
.02381 .09788 m
.02756 .09788 L
s
.02381 .15332 m
.02756 .15332 L
s
.02381 .18104 m
.02756 .18104 L
s
.02381 .20876 m
.02756 .20876 L
s
.02381 .2642 m
.02756 .2642 L
s
.02381 .29192 m
.02756 .29192 L
s
.02381 .31964 m
.02756 .31964 L
s
.02381 .37508 m
.02756 .37508 L
s
.02381 .40281 m
.02756 .40281 L
s
.02381 .43053 m
.02756 .43053 L
s
.02381 .48597 m
.02756 .48597 L
s
.02381 .51369 m
.02756 .51369 L
s
.02381 .54141 m
.02756 .54141 L
s
.02381 .59685 m
.02756 .59685 L
s
.25 Mabswid
.02381 0 m
.02381 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
0 0 1 r
.007 w
.02381 .56913 m
.02499 .56913 L
.02605 .56913 L
.02729 .56912 L
.02846 .56911 L
.03053 .5691 L
.03279 .56907 L
.03527 .56903 L
.0379 .56898 L
.04262 .56886 L
.04749 .56871 L
.05205 .56853 L
.06244 .568 L
.07305 .5673 L
.08274 .56651 L
.10458 .56422 L
.12357 .56164 L
.14429 .55822 L
.18493 .54967 L
.22406 .53916 L
.26565 .52561 L
.30571 .51027 L
.34426 .49348 L
.38527 .47349 L
.42475 .45226 L
.46273 .43009 L
.50315 .4047 L
.54206 .37863 L
.58342 .34927 L
.62326 .31952 L
.66159 .28965 L
.70238 .25667 L
.74164 .22388 L
.77939 .19153 L
.8196 .15632 L
.85828 .12185 L
.89942 .08472 L
.93905 .04866 L
.97619 .01472 L
s
1 0 0 r
.005 w
.97619 .01472 m
.97619 .16187 L
s
.02381 .60332 m
.11905 .60332 L
s
.11905 .01472 m
.11905 .60332 L
s
.11905 .54981 m
.22381 .54981 L
s
.22381 .01472 m
.22381 .54981 L
s
.22381 .54981 m
.32857 .54981 L
s
.32857 .01472 m
.32857 .54981 L
s
.32857 .46749 m
.45238 .46749 L
s
.45238 .01472 m
.45238 .46749 L
s
.45238 .40712 m
.59524 .40712 L
s
.59524 .01472 m
.59524 .40712 L
s
.59524 .16187 m
.97619 .16187 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Subsection",
  ImageSize->{372.188, 230},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40005d0000iR000`400?l00000o`00003ooooooome
ooooo`00oooooomeooooo`00Doooool2o`0000Cooooo00Co0000oooooooooooooooo1Ol0000eoooo
o`;o00001?ooool00ol0003oooooooooo`03ooooo`?o0000=Oooool2o`0000Cooooo00?o0000oooo
ooooool00_ooool3o`0003Kooooo0_l00004ooooo`03o`000?oooooooooo00;ooooo0ol0000koooo
o`?o00002Oooool005;ooooo00Co0000oooooooooooo00002?ooool01?l0003oooooooooool0000d
ooooo`04o`000?ooooooooooo`0000[ooooo00?o0000ooooooooool0<oooool01?l0003ooooooooo
ool00007ooooo`05o`000?ooooooooooooooool00000=?ooool01?l0003oooooooooool00007oooo
o`05o`000?ooooooooooooooool00000>oooool00ol0003oooooooooo`08ooooo`00D_ooool01?l0
003oooooooooool00009ooooo`03o`000?oooooooooo03Cooooo00Co0000oooooooooooo00001ooo
ool5o`0003Cooooo00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000003Co
oooo00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000003_ooooo00?o0000
ooooooooool02?ooool005;ooooo00Co0000oooooooooooo00002_ooool00ol0003oooooooooo`0c
ooooo`04o`000?ooooooooooo`0000Oooooo00Co0000oooooooooooo0000=Oooool01?l0003ooooo
ooooool00007ooooo`Co0000=Oooool01?l0003oooooooooool00008ooooo`?o0000??ooool00ol0
003oooooooooo`08ooooo`00D_ooool01?l0003oooooooooool00007ooooo`05o`000?oooooooooo
ooooool00000=?ooool01?l0003oooooooooool00008ooooo`03o`000?oooooo000003Gooooo00Co
0000oooooooooooo00001oooool00ol0003oooooooooo`0fooooo`04o`000?ooooooooooo`0000Oo
oooo00Go0000ooooooooooooooooo`00000kooooo`03o`000?oooooooooo00Sooooo001Booooo`04
o`000?ooooooooooo`0000Oooooo00Go0000ooooooooooooooooo`00000dooooo`04o`000?oooooo
ooooo`0000Wooooo0_l0000eooooo`04o`000?ooooooooooo`0000Sooooo00?o0000ooooooooool0
=Oooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool00000>_ooool2o`00
00[ooooo001Cooooo`;o00002Oooool3o`0003Kooooo0_l0000;ooooo`03o`000?oooooooooo03Co
oooo0_l0000:ooooo`;o0000=_ooool2o`0000Wooooo0ol0000looooo`03o`000?oooooooooo00So
oooo000Fooooo`03o`000?oooooooooo0?ooooooG?ooool001Kooooo00?o0000ooooooooool0oooo
oomLooooo`005_ooool00ol0003oooooooooo`3ooooooecooooo000Fooooo`03o`000?oooooooooo
0?ooooooG?ooool001Kooooo00?o0000ooooooooool0oooooomLooooo`003Oooool[o`000003ool0
0?l0003o000002;o000000?oo`00o`000?l000008ol000000ooo003o0000o`00000Yo`000003ool0
0?l0003o0000033o000000?oo`00o`000?l00000Pol00002o`00o`03ool00?l0003o000000Oo0000
000Fooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ooo003ooooooooo
o`0>ooooo`03o`000?oooooooooo00kooooo00Co0000ooooooooooooo`003Oooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00Cooooo00?oo`00ooooooooool01oooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?oo`00ooooooooool03_ooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?oo`00ooooooooool03_ooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ol0003ooooo
ooooo`0;ooooo`?o003o00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07ooo
ool00ooo003oooooooooo`0Oooooo`04o`000?ooooooooooool002Gooooo00?oo`00ooooooooool0
6?ooool00ol0003oooooooooo`0>ooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0
@Oooool00ol0003oooooooooo`0mooooo`?o003o00?oooooool00?ooool02?ooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo083ooooo0ol0
0?l2ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1oooooo`?o003o0oooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0O_ooool3o`00o`Cooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07gooooo0ol00?l5ooooo`03
ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`1looooo`?o003o1_ooool00ooo003oooooooooo`07ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0Nooo
ool3o`00o`Oooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool0
0ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07[ooooo0ol00?l8ooooo`03ool00?oooooo
oooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
07Wooooo0ol00?l9ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1hooooo`?o003o2_ooool00ooo003o
ooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0M_ooool4o`00o`_ooooo00?oo`00ooooooooool01oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07Gooooo1?l0
0?l<ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1dooooo`?o003o3_ooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0Loooool3o`00o`oooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07;ooooo0ol00?l@ooooo`03
ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`1aooooo`?o003o4Oooool00ooo003oooooooooo`07ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0L?oo
ool3o`00oa;ooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool0
0ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06oooooo0ol00?lCooooo`03ool00?oooooo
oooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
06kooooo0ol00?lDooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1]ooooo`?o003o5Oooool00ooo003o
ooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0K?ooool3o`00oaKooooo00?oo`00ooooooooool01oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06_ooooo0ol0
0?lGooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1Zooooo`?o003o6?ooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0J?ooool4o`00oaWooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06Oooooo1?l00?lJooooo`03
ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`1Vooooo`?o003o7?ooool00ooo003oooooooooo`07ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0IOoo
ool3o`00oagooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool0
0ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06Cooooo0ol00?lNooooo`03ool00?oooooo
oooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
06?ooooo0ol00?lOooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Qooooo`Co003o8?ooool00ooo003o
ooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0H?ooool4o`00ob7ooooo00?oo`00ooooooooool01oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05oooooo0ol0
0?lSooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1Nooooo`?o003o9?ooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0GOooool3o`00obGooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05cooooo0ol00?lVooooo`03
ool00?oooooooooo00Oooooo0002ooooo`;o00001?ooool01?l0003oooooooooooooool5o`0000Go
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05_o
oooo0ol00?lWooooo`03ool00?oooooooooo00Oooooo00001Ooooooo0000oooooooooooo000000So
oooo00Co0000oooooooooooo00001Oooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool0FOooool4o`00obSooooo00?oo`00ooooooooool01oooool00005
ooooool0003oooooooooool000002Oooool00ol0003oooooooooo`05ooooo`03o`000?oooooooooo
01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo
02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Hooooo`Co003o:Oooool00ooo
003oooooooooo`07ooooo`0000Goooooo`000?ooooooooooo`00000:ooooo`03o`000?oooooooooo
00Cooooo0ol0000Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo
003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0Eoooool3o`00
ob_ooooo00?oo`00ooooooooool01oooool00005ooooool0003oooooooooool000001oooool01Ol0
003ooooooooooooooooo000000Gooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0R
ooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`
ooooo`03ool00?oooooooooo05Kooooo0ol00?l/ooooo`03ool00?oooooooooo00Oooooo00001Ooo
oooo0000oooooooooooo000000Oooooo00Go0000ooooooooooooooooo`000005ooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oo
oooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Eooooo`?o003o;Ooo
ool00ooo003oooooooooo`07ooooo`000_ooool2o`0000Wooooo0ol00006ooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Dooooo`?o003o;_ooool0
0ooo003oooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool0Doooool3o`00oboooooo00?oo`00ooooooooool01oooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05;o
oooo0ol00?l`ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo
00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Aooooo`?o003o<Oooool00ooo003ooooo
ooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool0D?ooool3o`00oc;ooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo04oooooo0ol00?lc
ooooo`03ool00?oooooooooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Roooo
o`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`oooo
o`03ool00?oooooooooo04kooooo0ol00?ldooooo`03ool00?oooooooooo00Oooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1=ooooo`?o
003o=Oooool00ooo003oooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo033ooooo00?oo`00ooooooooool0Boooool4o`00ocKooooo00?oo`00ooooooooool0
1oooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oo
oooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oo
oooooooo04[ooooo1?l00?lgooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?oooon9ool000Wooooo000Fooooo`03o`000?oooooooooo
01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo
02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`18ooooo`?o003oA?ooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo04Oo
oooo0ol00?m5ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0A_ooool3o`00odKooooo000Fooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`14ooooo`Co003oAoooool001Kooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo04?ooooo1?l00?m8
ooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Soooo
o`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`12oooo
o`?o003oB_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03
ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03
ool00?oooooooooo047ooooo0ol00?m;ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo033ooooo00?oo`00ooooooooool0@?ooool3o`00odcooooo000Fooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oo
oooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0oooooo`?o003oCOoo
ool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooo
oooo03gooooo1?l00?m>ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool0??ooool4o`00odoooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0kooooo`?o003oDOooool001Kooooo
00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo
00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo03[ooooo
0ol00?mBooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool0>Oooool3o`00oe?ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`0hooooo`?o003oE?ooool001Kooooo0_l0000Poooo
o`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yoooo
o`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0=_ooool4o`00oeGooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0eooooo`Co
003oE_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool0
0?oooooooooo03Cooooo0ol00?mHooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oo
oooooooo033ooooo00?oo`00ooooooooool0<oooool3o`00oeWooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0booooo`?o003oF_ooool0
01Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
037ooooo0ol00?mKooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;o
oooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033o
oooo00?oo`00ooooooooool0;oooool4o`00oecooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo
00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0^ooooo`Co003oGOooool000;ooooo0_l0
0004ooooo`03o`000?oooooooooo00?ooooo0ol00005ooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`0]ooooo`?o003oGoooool00005ooooool0003o
ooooooooool000002_ooool00ol0003oooooooooo`04ooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`0/ooooo`?o003oH?ooool00005ooooool0003o
ooooooooool000001oooool5o`0000Gooooo0ol0000Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool0:_ooool4o`00of7ooooo00001Ooooooo0000oooooooooooo000000Oooooo00Co
0000oooooooooooo00001_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0:Oooool4o`00of;ooooo00001Ooooooo0000oooooooooooo000000Sooooo
00?o0000ooooool000001_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0:?ooool3o`00ofCooooo00001Ooooooo0000oooooooooooo000000Wooooo
0_l00006ooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooo
ooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003ooooo
ooooo`0Vooooo`Co003oIOooool000;ooooo0_l0000;ooooo`03o`000?oooooooooo00Cooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo02Gooooo1?l0
0?mVooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00
ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00
ooooooooool09?ooool3o`00ofSooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00oooo
ooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00oooo
ooooool0<?ooool00ooo003oooooooooo`0Sooooo`?o003oJOooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo027ooooo1?l00?mZooooo`00
5_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool0
8oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0
8?ooool4o`00of_ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_oo
ool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?oo
ool00ooo003oooooooooo`0Oooooo`?o003oKOooool001Kooooo0_l0000Pooooo`03ool00?oooooo
oooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooo
oooo033ooooo00?oo`00ooooooooool07_ooool3o`00ofkooooo000Fooooo`03o`000?oooooooooo
01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo
02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0Mooooo`?o003oKoooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo01co
oooo0ol00?m`ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool06_ooool4o`00og7ooooo000Fooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`0Iooooo`Co003oL_ooool001Kooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo01Sooooo0ol00?md
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool05oooool3o`00ogGooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00oooooooo
ool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00oooooooo
ool0<?ooool00ooo003oooooooooo`0Fooooo`?o003oM_ooool001Kooooo00?o0000ooooooooool0
7oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0
:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo01Gooooo0ol00?mgooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool04ooo
ool4o`00ogSooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooo
oooo01;ooooo1?l00?miooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool04Oooool3o`00og_ooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0@ooooo`?o003oO?ooool001Kooooo
00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo
00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo00kooooo
1?l00?mmooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool03Oooool4o`00ogkooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`0<ooooo`?o003oP?ooool001Kooooo00?o0000oooo
ooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooo
ooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo00[ooooo1?l00?n1oooo
o`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooooooo
ool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooooooo
ool02Oooool4o`00oh;ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`08ooooo`?o003oQ?ooool001Kooooo00?o0000ooooooooool07ooo
ool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Ooo
ool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo00Oooooo0ol00?n5ooooo`005_ooool2
o`00023ooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`05ooooo`Co003oQ_ooool0
01Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
00Cooooo1?l00?n7ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;o
oooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033o
oooo00?oo`00ooooooooool00_ooool4o`00ohWooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo
00?oo`00ooooooooool0<?ooool01?oo003oooooooooooooool4o`00oh[ooooo000Fooooo`03o`00
0?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool0
0?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`03o`00ohcooooo
000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooooooo
o`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003o003oo`00
o`02o`00ohgooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool0
0ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool0
1?oo003o003oo`00ool00?n>ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3
o`0000Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0^ooooo`;o003o00?oo`00
o`00ooooool0Soooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooo
oooo000000Gooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oo
oooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0]ooooo`?o003o00?o
o`00ooooooooool0Soooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooooooo
oooooooo000000Gooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0/ooooo`?o003o
00?oooooool00?ooool0T?ooool00005ooooool0003oooooooooool000001oooool4o`0000Kooooo
0ol0000Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo02[ooooo1?l00?l2ooooo`03ool00?oooooooooo08oooooo
00001Ooooooo0000oooooooooooo000000Oooooo00?o0000ooooooooool01oooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo02Wooooo1?l00?l3ooooo`03ool00?oooooooooo08oooooo
00001Ooooooo0000oooooooooooo000000Sooooo00?o0000ooooooooool01_ooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo02Sooooo0ol00?l5ooooo`03ool00?oooooooooo08oooooo
0002ooooo`;o00002_ooool2o`0000Kooooo00?o0000ooooooooool07oooool00ooo003ooooooooo
o`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003ooooooooo
o`0Vooooo`Co003o1_ooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Y
ooooo`03ool00?oooooooooo02Gooooo1?l00?l7ooooo`03ool00?oooooooooo08oooooo000Foooo
o`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Soooo
o`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool08oooool4o`00o`Wooooo00?oo`00oooo
ooooool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03
ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0Rooooo`Co
003o2_ooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo027ooooo0ol00?l<ooooo`03ool00?oooooooooo08oooooo000Fooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oo
oooooooo02Wooooo00?oo`00ooooooooool07oooool4o`00o`gooooo00?oo`00ooooooooool0Sooo
ool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0Nooooo`Co003o3_ooool0
0ooo003oooooooooo`2?ooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool08_ooool00ooo
003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool07Oooool3o`00
oa3ooooo00?oo`00ooooooooool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003o
ooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003o
ooooooooo`0Kooooo`Co003o4Oooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo01[ooooo1?l00?lBooooo`03ool00?oooooooooo08oooooo
000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooooooo
o`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool06?ooool4o`00oaCooooo00?o
o`00ooooooooool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0R
ooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0G
ooooo`Co003o5Oooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0Ooooo
o`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yoooo
o`03ool00?oooooooooo01Gooooo1?l00?lGooooo`03ool00?oooooooooo08oooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo02Wooooo00?oo`00ooooooooool04oooool5o`00oaSooooo00?oo`00oooooooo
ool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0Booooo`Co003o
6_ooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oo
oooooooo013ooooo1?l00?lLooooo`03ool00?oooooooooo08oooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool03oooool4o`00oagooooo00?oo`00ooooooooool0Soooool0
01Kooooo0_l0000Pooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo
003oooooooooo`0Yooooo`03ool00?oooooooooo00gooooo1?l00?lOooooo`03ool00?oooooooooo
08oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003o
ooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo=?oo002Aooooo`005_ooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo00[ooooo1?l00?ndooooo`005_ooool00ol0003ooooooooo
o`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooooooo
o`0Yooooo`03ool00?oooooooooo00Wooooo1?l00?neooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Y
ooooo`03ool00?oooooooooo00Oooooo1?l00?ngooooo`005_ooool00ol0003oooooooooo`0Ooooo
o`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yoooo
o`03ool00?oooooooooo00Gooooo1Ol00?nhooooo`005_ooool00ol0003oooooooooo`0Oooooo`03
ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03
ool00?oooooooooo00Cooooo1?l00?njooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo00;ooooo1?l00?nlooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`04ool00?oo
ooooooooooooo`Co003o_Oooool001Kooooo00?o0000ooooooooool07oooool00ooo003ooooooooo
o`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooo`00
o`03o`00okoooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003o003oo`00o`02o`00ol3ooooo000Foooo
o`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Soooo
o`03ool00?oooooooooo02Sooooo00Co003oool00?l00?oo003o`_ooool001Kooooo00?o0000oooo
ooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooo
ooooool09_ooool3o`00o`03ool00?oooooooooo0<;ooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Co
oooo1Ol00?l00ooo003oooooooooo`32ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Rooooo`Go003o
0_ooool00ooo003oooooooooo`32ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Qooooo`Co003o1?oo
ool00ooo003oooooooooo`32ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooo
oooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Oooooo`Co003o1_ooool0
0ooo003oooooooooo`32ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3o`00
00Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool07Oooool5o`00o`Oooooo00?oo`00ooooooooool0`_ooool00005
ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo000000Gooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool06oooool5o`00o`Wooooo00?oo`00ooooooooool0`_ooool00005ooooool0003ooooo
ooooool000001oooool01Ol0003ooooooooooooooooo000000Gooooo0ol0000Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Jooooo`Co003o2ooo
ool00ooo003oooooooooo`32ooooo`0000Goooooo`000?ooooooooooo`000008ooooo`?o00001_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Hooooo`Co003o3Oooool00ooo003oooooooooo`32ooooo`0000Gooooo
o`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool000001Oooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Fooooo`Go003o3_ooool00ooo003oooooooooo`32ooooo`0000Goooooo`000?oooooooooo
o`000007ooooo`05o`000?ooooooooooooooool000001Oooool00ol0003oooooooooo`0Oooooo`03
ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Dooooo`Go
003o4?ooool00ooo003oooooooooo`32ooooo`000_ooool2o`0000Wooooo0ol00006ooooo`03o`00
0?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooobgoo`00
a?ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oo
oooooooo02?ooooo00?oo`00ooooooooool04Oooool4o`00omWooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo00oooooo1Ol00?oJooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0=ooooo`Go003og?ooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool02oooool5o`00omkooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo00Sooooo
1_l00?oPooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool08_ooool00ooo003ooooooooo
o`0Sooooo`03ool00?oooooooooo00Kooooo1_l00?oRooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`04
ooooo`Go003oiOooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Roooo
o`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool00_ooool5o`00onOooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo00Go003ojOooool001Kooooo00?o0000ooooooooool07oooool00ooo003ooooo
ooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00o`00ool00?l00ol00?o[ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08_oo
ool00ol00?ooo`00o`00o`02o`00ongooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Oooooo`Co003o00?oo`00o`00ooooool0k_ooool0
01Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
01gooooo1_l00?l00ooo003oooooooooo`3^ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03
ool00?oooooooooo02;ooooo00?oo`00ooooooooool06oooool5o`00o`?ooooo00?oo`00oooooooo
ool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo01Wooooo1Ol00?l5ooooo`03ool00?oooooooooo0>kooooo000Fooooo`;o00008?oo
ool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo01Kooooo1_l00?l7ooooo`03ool00?oo
oooooooo0>kooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool0
0ooo003oooooooooo`0Cooooo`Oo003o2Oooool00ooo003oooooooooo`3^ooooo`005_ooool00ol0
003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool04?ooool7o`00
o`cooooo00?oo`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003o
ooooooooo`0Rooooo`03ool00?oooooooooo00gooooo1ol00?l?ooooo`03ool00?oooooooooo0>ko
oooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooo
ooooo`0:ooooo`Oo003o4_ooool00ooo003oooooooooo`3^ooooo`005_ooool00ol0003ooooooooo
o`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool01oooool7o`00oaGooooo00?o
o`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0R
ooooo`03ool00?oooooooooo00Cooooo1ol00?lHooooo`03ool00?oooooooooo0>kooooo000Foooo
o`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool01?oo003oooooooooooooool7
o`00oa_ooooo00?oo`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo
003oooooooooo`0Rooooo`03ool00?l00?oo003o00Go003o7_ooool00ooo003oooooooooo`3^oooo
o`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo023ooooo0_l00?l00ooo003o
003oo`00o`02o`00ob7ooooo00?oo`00ooooooooool0k_ooool001Kooooo0_l0000Pooooo`03ool0
0?oooooooooo01gooooo1Ol00?l00ooo003o003oooooo`0Sooooo`03ool00?oooooooooo0>kooooo
000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool06Oooool8o`00o`03oooooooo
003ooooo02Cooooo00?oo`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Fooooo`So003o1?ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo0>kooooo000Fooooo`03o`000?oooooooooo01ooooooC?oo003`ooooo`005_ooool00ol0003o
ooooooooo`0Oooooo`03ool00?oooooooooo00gooooo2_l00?ooooooob?ooooo000Fooooo`03o`00
0?oooooooooo01oooooo00?oo`00ooooooooool02?ooool;o`00oooooooo9oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`02ooooo`co003oooooool/ooooo`005_ooool0
0ol0003oooooooooo`0Mooooo`;o003o00?oo`00o`00ool00?l02Ol00?oooooooc7ooooo000=oooo
o`?o00001_ooool00ol0003oooooooooo`0Eooooo`[o003o00?oo`00o`00ool00?l00ol00?oooooo
ocOooooo000>ooooo`03o`000?oooooooooo00Gooooo00?o0000ooooooooool03?oooolBo`00o`03
oooooooo003ooooo0?oooooo>oooool000kooooo00?o0000ooooooooool01?oooolJo`00o`Wooooo
00?oo`00ooooooooool0ooooooljooooo`003_ooool00ol0003oooooooooo`04oooooa7o003o4_oo
ool00ooo003oooooooooo`3ooooooc[ooooo000>ooooo`03o`000?oooooooooo00Gooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`3ooooooc[ooooo000=ooooo`;o00001oooool00ol0
003oooooooooo`0Oooooo`03ool00?oooooooooo0?oooooo>_ooool000kooooo00?o0000oooooooo
ool01Oooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo0?oooooo>_ooool001Kooooo
00?o0000ooooooooool07oooool00ooo003oooooooooo`3ooooooc[ooooo000Fooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool0ooooooljooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo0?oooooo>_ooool001Kooooo00?o0000ooooooooool07oooool00ooo
003oooooooooo`3ooooooc[ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00oooooooo
ool0ooooooljooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool0ooooooljooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo0?oooooo>_ooool001Kooooo8ooo003o
oooooccooooo000Fooooo`03o`000?oooooooooo0?ooooooG?ooool001Kooooo00?o0000oooooooo
ool0oooooomLooooo`005_ooool00ol0003oooooooooo`3ooooooecooooo000Fooooo`03o`000?oo
oooooooo0?ooooooG?ooool001Kooooo00?o0000ooooooooool0oooooomLooooo`00\
\>"],
  ImageRangeCache->{{{0, 371.188}, {229, 0}} -> {-0.0660376, -0.0680253, \
0.00293933, 0.00504922}}],

Cell[BoxData[
    \(f\)], "Input"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
Representation of the grid in VEGAS. Each red square has the same \
area\
\>", "Section"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(<< Graphics`Colors`;\)\), "\n", 
    \(\(ob1 = 
        Plot[{Cos[Pi/2\ x]}, {x, 0, 1}, 
          PlotStyle \[Rule] {{Blue, Thickness[0.007]}}];\)\), "\n", 
    \(\(ob2 = 
        Graphics[{Thickness[0.005], Red, 
            Line[{{1, 
                  0}, {1, \(1/0.4\)/6*inte}}]}];\)\), "\[IndentingNewLine]", 
    \(\(inte = 0.637;\)\), "\n", 
    \(\(ob3 = 
        Graphics[{Thickness[0.005], 
            Red, \[IndentingNewLine]Line[{{0, 0.97}, {0.2, 
                  0.97}}], \[IndentingNewLine]Line[{{0.2, 0}, {0.2, 
                  0.97}}], \[IndentingNewLine]Line[{{0.2, 0.9}, {0.4, 
                  0.9}}], \[IndentingNewLine]Line[{{0.4, 0}, {0.4, 
                  0.9}}], \[IndentingNewLine]Line[{{0.4, 0.7}, {0.6, 
                  0.7}}], \[IndentingNewLine]Line[{{0.6, 0}, {0.6, 
                  0.7}}], \[IndentingNewLine]Line[{{0.6, 0.45}, {0.8, 
                  0.45}}], \[IndentingNewLine]Line[{{0.8, 0}, {0.8, 
                  0.45}}], \[IndentingNewLine]Line[{{0.8, 0.18}, {1, 0.18}}], 
            White, \[IndentingNewLine]Line[{{1, 0}, {1, 0.45}}], 
            Red, \[IndentingNewLine]Line[{{1, 0}, {1, 
                  0.18}}]\[IndentingNewLine]}];\)\), "\n", 
    \(Show[ob1, ob2, ob3]\)}], "Input"],

Cell[CellGroupData[{

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.952381 0.0147151 0.588604 [
[.21429 .00222 -9 -9 ]
[.21429 .00222 9 0 ]
[.40476 .00222 -9 -9 ]
[.40476 .00222 9 0 ]
[.59524 .00222 -9 -9 ]
[.59524 .00222 9 0 ]
[.78571 .00222 -9 -9 ]
[.78571 .00222 9 0 ]
[.97619 .00222 -3 -9 ]
[.97619 .00222 3 0 ]
[.01131 .13244 -18 -4.5 ]
[.01131 .13244 0 4.5 ]
[.01131 .25016 -18 -4.5 ]
[.01131 .25016 0 4.5 ]
[.01131 .36788 -18 -4.5 ]
[.01131 .36788 0 4.5 ]
[.01131 .4856 -18 -4.5 ]
[.01131 .4856 0 4.5 ]
[.01131 .60332 -6 -4.5 ]
[.01131 .60332 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.21429 .01472 m
.21429 .02097 L
s
[(0.2)] .21429 .00222 0 1 Mshowa
.40476 .01472 m
.40476 .02097 L
s
[(0.4)] .40476 .00222 0 1 Mshowa
.59524 .01472 m
.59524 .02097 L
s
[(0.6)] .59524 .00222 0 1 Mshowa
.78571 .01472 m
.78571 .02097 L
s
[(0.8)] .78571 .00222 0 1 Mshowa
.97619 .01472 m
.97619 .02097 L
s
[(1)] .97619 .00222 0 1 Mshowa
.125 Mabswid
.07143 .01472 m
.07143 .01847 L
s
.11905 .01472 m
.11905 .01847 L
s
.16667 .01472 m
.16667 .01847 L
s
.2619 .01472 m
.2619 .01847 L
s
.30952 .01472 m
.30952 .01847 L
s
.35714 .01472 m
.35714 .01847 L
s
.45238 .01472 m
.45238 .01847 L
s
.5 .01472 m
.5 .01847 L
s
.54762 .01472 m
.54762 .01847 L
s
.64286 .01472 m
.64286 .01847 L
s
.69048 .01472 m
.69048 .01847 L
s
.7381 .01472 m
.7381 .01847 L
s
.83333 .01472 m
.83333 .01847 L
s
.88095 .01472 m
.88095 .01847 L
s
.92857 .01472 m
.92857 .01847 L
s
.25 Mabswid
0 .01472 m
1 .01472 L
s
.02381 .13244 m
.03006 .13244 L
s
[(0.2)] .01131 .13244 1 0 Mshowa
.02381 .25016 m
.03006 .25016 L
s
[(0.4)] .01131 .25016 1 0 Mshowa
.02381 .36788 m
.03006 .36788 L
s
[(0.6)] .01131 .36788 1 0 Mshowa
.02381 .4856 m
.03006 .4856 L
s
[(0.8)] .01131 .4856 1 0 Mshowa
.02381 .60332 m
.03006 .60332 L
s
[(1)] .01131 .60332 1 0 Mshowa
.125 Mabswid
.02381 .04415 m
.02756 .04415 L
s
.02381 .07358 m
.02756 .07358 L
s
.02381 .10301 m
.02756 .10301 L
s
.02381 .16187 m
.02756 .16187 L
s
.02381 .1913 m
.02756 .1913 L
s
.02381 .22073 m
.02756 .22073 L
s
.02381 .27959 m
.02756 .27959 L
s
.02381 .30902 m
.02756 .30902 L
s
.02381 .33845 m
.02756 .33845 L
s
.02381 .39731 m
.02756 .39731 L
s
.02381 .42674 m
.02756 .42674 L
s
.02381 .45617 m
.02756 .45617 L
s
.02381 .51503 m
.02756 .51503 L
s
.02381 .54446 m
.02756 .54446 L
s
.02381 .57389 m
.02756 .57389 L
s
.25 Mabswid
.02381 0 m
.02381 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
0 0 1 r
.007 w
.02381 .60332 m
.02499 .60332 L
.02605 .60331 L
.02729 .60331 L
.02846 .6033 L
.03053 .60328 L
.03279 .60325 L
.03527 .60321 L
.0379 .60316 L
.04262 .60304 L
.04749 .60287 L
.05205 .60268 L
.06244 .60212 L
.07305 .60138 L
.08274 .60054 L
.10458 .5981 L
.12357 .59537 L
.14429 .59174 L
.18493 .58266 L
.22406 .5715 L
.26565 .55711 L
.30571 .54083 L
.34426 .523 L
.38527 .50178 L
.42475 .47924 L
.46273 .45571 L
.50315 .42875 L
.54206 .40107 L
.58342 .3699 L
.62326 .33831 L
.66159 .30661 L
.70238 .27159 L
.74164 .23678 L
.77939 .20243 L
.8196 .16505 L
.85828 .12846 L
.89942 .08904 L
.93905 .05075 L
.97619 .01472 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{288, 177.938},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40004P0000/B000`400?l00000o`00003ooooooolQ
ooooo`00@_ooool2o`0000Cooooo00Co0000oooooooooooooooo1Ol0000Uooooo`;o00001?ooool0
0ol0003oooooooooo`03ooooo`?o00009?ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3
o`0002Kooooo0_l00004ooooo`03o`000?oooooooooo00;ooooo0ol0000[ooooo`?o00001oooool0
047ooooo00Co0000oooooooooooo00002?ooool01?l0003oooooooooool0000Tooooo`04o`000?oo
ooooooooo`0000[ooooo00?o0000ooooooooool08_ooool01?l0003oooooooooool00007ooooo`05
o`000?ooooooooooooooool000009?ooool01?l0003oooooooooool00007ooooo`05o`000?oooooo
ooooooooool00000:oooool00ol0003oooooooooo`06ooooo`00@Oooool01?l0003oooooooooool0
0009ooooo`03o`000?oooooooooo02Cooooo00Co0000oooooooooooo00001oooool5o`0002?ooooo
00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000002Cooooo00Co0000oooo
oooooooo00001oooool01Ol0003ooooooooooooooooo000002_ooooo00?o0000ooooooooool01_oo
ool0047ooooo00Co0000oooooooooooo00002_ooool00ol0003oooooooooo`0Sooooo`04o`000?oo
ooooooooo`0000Oooooo00Co0000oooooooooooo00009?ooool01?l0003oooooooooool00007oooo
o`Co00009Oooool01?l0003oooooooooool00008ooooo`?o0000;?ooool00ol0003oooooooooo`06
ooooo`00@Oooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool000009?oo
ool01?l0003oooooooooool00008ooooo`03o`000?oooooo000002Cooooo00Co0000oooooooooooo
00001oooool00ol0003oooooooooo`0Vooooo`04o`000?ooooooooooo`0000Oooooo00Go0000oooo
ooooooooooooo`00000[ooooo`03o`000?oooooooooo00Kooooo0011ooooo`04o`000?oooooooooo
o`0000Oooooo00Go0000ooooooooooooooooo`00000Tooooo`04o`000?ooooooooooo`0000Wooooo
0_l0000Tooooo`04o`000?ooooooooooo`0000Sooooo00?o0000ooooooooool09Oooool01?l0003o
ooooooooool00007ooooo`05o`000?ooooooooooooooool00000:_ooool2o`0000Sooooo0012oooo
o`;o00002Oooool3o`0002Kooooo0_l0000;ooooo`03o`000?oooooooooo02?ooooo0_l0000:oooo
o`;o00009_ooool2o`0000Wooooo0ol0000/ooooo`03o`000?oooooooooo00Kooooo000Eooooo`03
o`000?oooooooooo0?oooooo2Oooool001Gooooo00?o0000ooooooooool0ooooool9ooooo`005Ooo
ool00ol0003oooooooooo`3oooooo`Wooooo000Eooooo`03o`000?oooooooooo0?oooooo2Oooool0
00ooooooool0000:o`000003o`00ool0003o000000Co00000Oooool001Gooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02Oooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`0:ooooo`03o`000?oooooooooo00[ooooo00?o0000oooooooo
ool02_ooool00ol0003oooooooooo`09ooooo`03o`00ool0003ooooo00Kooooo000Eooooo`03o`00
0?oooooooooo037ooooo00?o0000ooooooooool0<Oooool00ol0003oooooooooo`0`ooooo`03o`00
0?oooooooooo037ooooo00?o0000ooooooooool0;oooool00ol00?ooooooo`000007ooooo`005Ooo
ool00ol0003oooooooooo`3mooooo`03o`00oooooooooooo00Sooooo000Eooooo`03o`000?oooooo
oooo0?cooooo00?o003oooooooooool02Oooool001Gooooo00?o0000ooooooooool0noooool00ol0
0?ooooooooooo`0:ooooo`005Oooool00ol0003oooooooooo`3jooooo`03o`00oooooooooooo00_o
oooo000Eooooo`03o`000?oooooooooo0?Wooooo00?o003oooooooooool03?ooool001Gooooo0_l0
003iooooo`03o`00oooooooooooo00gooooo000Eooooo`03o`000?oooooooooo0?Oooooo00?o003o
ooooooooool03_ooool001Gooooo00?o0000ooooooooool0mOooool2o`00oa7ooooo000Eooooo`03
o`000?oooooooooo0?Cooooo00?o003oooooooooool04Oooool001Gooooo00?o0000ooooooooool0
loooool00ol00?ooooooooooo`0Booooo`005Oooool00ol0003oooooooooo`3booooo`03o`00oooo
oooooooo01?ooooo000Eooooo`03o`000?oooooooooo0?7ooooo00?o003oooooooooool05?ooool0
01Gooooo00?o0000ooooooooool0l?ooool00ol00?ooooooooooo`0Eooooo`005Oooool2o`000?3o
oooo00?o003oooooooooool05_ooool001Gooooo00?o0000ooooooooool0k_ooool00ol00?oooooo
ooooo`0Gooooo`005Oooool00ol0003oooooooooo`3]ooooo`03o`00oooooooooooo01Sooooo000E
ooooo`03o`000?oooooooooo0>cooooo00?o003oooooooooool06Oooool001Gooooo00?o0000oooo
ooooool0joooool00ol00?ooooooooooo`0Jooooo`005Oooool00ol0003oooooooooo`3Zooooo`03
o`00oooooooooooo01_ooooo000Eooooo`03o`000?oooooooooo0>Wooooo00?o003oooooooooool0
7?ooool001Gooooo00?o0000ooooooooool0j?ooool00ol00?ooooooooooo`0Mooooo`005Oooool2
o`000>Sooooo00?o003oooooooooool07_ooool001Gooooo00?o0000ooooooooool0i_ooool00ol0
0?ooooooooooo`0Oooooo`005Oooool00ol0003oooooooooo`3Uooooo`03o`00oooooooooooo023o
oooo000Eooooo`03o`000?oooooooooo0>Cooooo00?o003oooooooooool08Oooool001Gooooo00?o
0000ooooooooool0hoooool00ol00?ooooooooooo`0Rooooo`000_ooool2o`0000Cooooo00Co0000
oooooooooooooooo1Ol00004ooooo`03o`000?oooooooooo0>;ooooo00?o003oooooooooool08ooo
ool00005ooooool0003oooooooooool000002?ooool01?l0003oooooooooool00004ooooo`03o`00
0?oooooooooo0>7ooooo00?o003oooooooooool09?ooool00005ooooool0003oooooooooool00000
2Oooool00ol0003oooooooooo`04ooooo`03o`000?oooooooooo0=oooooo0_l00?lWooooo`0000Go
ooooo`000?ooooooooooo`00000:ooooo`03o`000?oooooooooo00?ooooo0ol0003Nooooo`03o`00
oooooooooooo02Oooooo00001Ooooooo0000oooooooooooo000000Oooooo00Go0000oooooooooooo
ooooo`000004ooooo`03o`000?oooooooooo0=gooooo00?o003oooooooooool0:?ooool00005oooo
ool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo000000Cooooo00?o0000oooo
ooooool0g?ooool00ol00?ooooooooooo`0Yooooo`000_ooool2o`0000Wooooo0ol00005ooooo`03
o`000?oooooooooo0=_ooooo00?o003oooooooooool0:_ooool001Gooooo00?o0000ooooooooool0
f_ooool00ol00?ooooooooooo`0[ooooo`005Oooool00ol0003oooooooooo`3Iooooo`03o`00oooo
oooooooo02cooooo000Eooooo`03o`000?oooooooooo0=Sooooo00?o003oooooooooool0;Oooool0
01Gooooo00?o0000ooooooooool0eoooool00ol00?ooooooooooo`0^ooooo`005Oooool2o`000=Oo
oooo00?o003oooooooooool0;oooool001Gooooo00?o0000ooooooooool0e?ooool2o`00oc;ooooo
000Eooooo`03o`000?oooooooooo0=?ooooo00?o003oooooooooool0<_ooool001Gooooo00?o0000
ooooooooool0d_ooool00ol00?ooooooooooo`0cooooo`005Oooool00ol0003oooooooooo`3Aoooo
o`03o`00oooooooooooo03Cooooo000Eooooo`03o`000?oooooooooo0=3ooooo00?o003ooooooooo
ool0=Oooool001Gooooo00?o0000ooooooooool0coooool00ol00?ooooooooooo`0fooooo`005Ooo
ool00ol0003oooooooooo`3>ooooo`03o`00oooooooooooo03Oooooo000Eooooo`;o0000c_ooool0
0ol00?ooooooooooo`0hooooo`005Oooool00ol0003oooooooooo`3<ooooo`03o`00oooooooooooo
03Wooooo000Eooooo`03o`000?oooooooooo0<_ooooo00?o003oooooooooool0>_ooool001Gooooo
00?o0000ooooooooool0bOooool2o`00ocgooooo000Eooooo`03o`000?oooooooooo0<Sooooo00?o
003oooooooooool0?Oooool001Gooooo00?o0000ooooooooool0aoooool00ol00?ooooooooooo`0n
ooooo`005Oooool00ol0003oooooooooo`36ooooo`03o`00oooooooooooo03oooooo000Eooooo`03
o`000?oooooooooo0<Gooooo00?o003oooooooooool0@?ooool001Gooooo0_l00035ooooo`03o`00
oooooooooooo047ooooo000Eooooo`03o`000?oooooooooo0<?ooooo00?o003oooooooooool0@_oo
ool001Gooooo00?o0000ooooooooool0`_ooool00ol00?ooooooooooo`13ooooo`005Oooool00ol0
003oooooooooo`31ooooo`03o`00oooooooooooo04Cooooo000Eooooo`03o`000?oooooooooo0;oo
oooo0_l00?m7ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00oooool3o`0000Cooooo
00?o0000ooooooooool0__ooool00ol00?ooooooooooo`17ooooo`0000Goooooo`000?oooooooooo
o`00000:ooooo`03o`000?oooooooooo00?ooooo00?o0000ooooooooool0_Oooool00ol00?oooooo
ooooo`18ooooo`0000Goooooo`000?ooooooooooo`000007ooooo`Go00001?ooool00ol0003ooooo
ooooo`2looooo`03o`00oooooooooooo04Wooooo00001Ooooooo0000oooooooooooo000000Oooooo
00Co0000oooooooooooo00001Oooool3o`000;_ooooo00?o003oooooooooool0B_ooool00005oooo
ool0003oooooooooool000002?ooool00ol0003oooooo`000005ooooo`03o`000?oooooooooo0;[o
oooo00?o003oooooooooool0Boooool00005ooooool0003oooooooooool000002Oooool2o`0000Go
oooo00?o0000ooooooooool0^Oooool00ol00?ooooooooooo`1<ooooo`000_ooool2o`0000_ooooo
00?o0000ooooooooool00oooool00ol0003oooooooooo`2hooooo`03o`00oooooooooooo04gooooo
000Eooooo`03o`000?oooooooooo0;Oooooo00?o003oooooooooool0C_ooool001Gooooo00?o0000
ooooooooool0]_ooool00ol00?ooooooooooo`1?ooooo`005Oooool00ol0003oooooooooo`2doooo
o`;o003oD_ooool001Gooooo00?o0000ooooooooool0/oooool00ol00?ooooooooooo`1Booooo`00
5Oooool2o`000;?ooooo00?o003oooooooooool0Doooool001Gooooo00?o0000ooooooooool0/Ooo
ool00ol00?ooooooooooo`1Dooooo`005Oooool00ol0003oooooooooo`2_ooooo`;o003oEoooool0
01Gooooo00?o0000ooooooooool0[_ooool00ol00?ooooooooooo`1Gooooo`005Oooool00ol0003o
ooooooooo`2]ooooo`03o`00oooooooooooo05Sooooo000Eooooo`03o`000?oooooooooo0:cooooo
00?o003oooooooooool0FOooool001Gooooo00?o0000ooooooooool0Zoooool00ol00?oooooooooo
o`1Jooooo`005Oooool00ol0003oooooooooo`2Yooooo`;o003oGOooool001Gooooo0_l0002Yoooo
o`03o`00oooooooooooo05gooooo000Eooooo`03o`000?oooooooooo0:Oooooo00?o003ooooooooo
ool0G_ooool001Gooooo00?o0000ooooooooool0Y_ooool00ol00?ooooooooooo`1Oooooo`005Ooo
ool00ol0003oooooooooo`2Uooooo`03o`00oooooooooooo063ooooo000Eooooo`03o`000?oooooo
oooo0:Cooooo00?o003oooooooooool0HOooool001Gooooo00?o0000ooooooooool0Xoooool00ol0
0?ooooooooooo`1Rooooo`005Oooool00ol0003oooooooooo`2Rooooo`03o`00oooooooooooo06?o
oooo000Eooooo`03o`000?oooooooooo0:7ooooo00?o003oooooooooool0I?ooool001Gooooo0_l0
002Pooooo`;o003oIoooool001Gooooo00?o0000ooooooooool0W_ooool00ol00?ooooooooooo`1W
ooooo`005Oooool00ol0003oooooooooo`2Mooooo`03o`00oooooooooooo06Sooooo000Eooooo`03
o`000?oooooooooo09cooooo00?o003oooooooooool0JOooool001Gooooo00?o0000ooooooooool0
V_ooool2o`00ofcooooo0002ooooo`;o00001?ooool00ol0003oooooooooo`02ooooo`?o00001Ooo
ool00ol0003oooooooooo`2Iooooo`03o`00oooooooooooo06cooooo00001Ooooooo0000oooooooo
oooo000000Oooooo00Go0000ooooooooooooooooo`000004ooooo`03o`000?oooooooooo09Sooooo
00?o003oooooooooool0KOooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooo
oooooooooooo000000Cooooo00?o0000ooooooooool0Uoooool00ol00?ooooooooooo`1^ooooo`00
00Goooooo`000?ooooooooooo`000007ooooo`Co00001Oooool3o`0009Kooooo00?o003ooooooooo
ool0Koooool00005ooooool0003oooooooooool000001oooool00ol0003oooooooooo`06ooooo`03
o`000?oooooooooo09Cooooo0_l00?mbooooo`0000Goooooo`000?ooooooooooo`000008ooooo`03
o`000?oooooooooo00Gooooo00?o0000ooooooooool0Toooool00ol00?ooooooooooo`1booooo`00
0_ooool2o`0000[ooooo0_l00005ooooo`03o`000?oooooooooo09;ooooo00?o003oooooooooool0
Loooool001Gooooo00?o0000ooooooooool0T?ooool2o`00ogKooooo000Eooooo`03o`000?oooooo
oooo08oooooo00?o003oooooooooool0M_ooool001Gooooo00?o0000ooooooooool0SOooool2o`00
ogWooooo000Eooooo`03o`000?oooooooooo08cooooo00?o003oooooooooool0NOooool001Gooooo
0_l0002<ooooo`03o`00oooooooooooo07[ooooo000Eooooo`03o`000?oooooooooo08Wooooo0_l0
0?mmooooo`005Oooool00ol0003oooooooooo`28ooooo`03o`00oooooooooooo07gooooo000Eoooo
o`03o`000?oooooooooo08Oooooo00?o003oooooooooool0O_ooool001Gooooo00?o0000oooooooo
ool0QOooool2o`00oh7ooooo000Eooooo`03o`000?oooooooooo08Cooooo00?o003oooooooooool0
POooool001Gooooo00?o0000ooooooooool0P_ooool2o`00ohCooooo000Eooooo`03o`000?oooooo
oooo087ooooo00?o003oooooooooool0Q?ooool001Gooooo0_l00021ooooo`03o`00oooooooooooo
08Gooooo000Eooooo`03o`000?oooooooooo07kooooo0_l00?n8ooooo`005Oooool00ol0003ooooo
ooooo`1mooooo`03o`00oooooooooooo08Sooooo000Eooooo`03o`000?oooooooooo07_ooooo0_l0
0?n;ooooo`005Oooool00ol0003oooooooooo`1iooooo`;o003oSOooool001Gooooo00?o0000oooo
ooooool0N?ooool00ol00?ooooooooooo`2=ooooo`005Oooool00ol0003oooooooooo`1fooooo`;o
003oT?ooool001Gooooo00?o0000ooooooooool0MOooool00ol00?ooooooooooo`2@ooooo`005Ooo
ool2o`0007Cooooo0_l00?nCooooo`005Oooool00ol0003oooooooooo`1aooooo`;o003oUOooool0
01Gooooo00?o0000ooooooooool0L?ooool00ol00?ooooooooooo`2Eooooo`005Oooool00ol0003o
ooooooooo`1^ooooo`;o003oV?ooool001Gooooo00?o0000ooooooooool0K?ooool2o`00oi[ooooo
0002ooooo`;o00001?ooool00ol0003oooooooooo`02ooooo`?o00001Oooool00ol0003ooooooooo
o`1[ooooo`03o`00oooooooooooo09[ooooo00001Ooooooo0000oooooooooooo000000Oooooo00Go
0000ooooooooooooooooo`000004ooooo`03o`000?oooooooooo06Wooooo0_l00?nMooooo`0000Go
ooooo`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool000001?ooool00ol0003o
ooooooooo`1Wooooo`;o003oWoooool00005ooooool0003oooooooooool000002?ooool3o`0000Go
oooo0ol0001Uooooo`;o003oXOooool00005ooooool0003oooooooooool000001oooool01Ol0003o
oooooooooooooooo000000Cooooo00?o0000ooooooooool0I?ooool00ol00?ooooooooooo`2Qoooo
o`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool000001?ooool0
0ol0003oooooooooo`1Rooooo`;o003oY?ooool000;ooooo0_l00009ooooo`?o00001Oooool00ol0
003oooooooooo`1Pooooo`;o003oY_ooool001Gooooo00?o0000ooooooooool0G_ooool2o`00ojSo
oooo000Eooooo`03o`000?oooooooooo05cooooo0_l00?nZooooo`005Oooool00ol0003ooooooooo
o`1Jooooo`;o003o[?ooool001Gooooo00?o0000ooooooooool0FOooool00ol00?ooooooooooo`2/
ooooo`005Oooool2o`0005Sooooo0_l00?n_ooooo`005Oooool00ol0003oooooooooo`1Eooooo`;o
003o/Oooool001Gooooo00?o0000ooooooooool0Doooool2o`00ok?ooooo000Eooooo`03o`000?oo
oooooooo057ooooo0_l00?neooooo`005Oooool00ol0003oooooooooo`1?ooooo`;o003o]oooool0
01Gooooo00?o0000ooooooooool0COooool2o`00okWooooo000Eooooo`03o`000?oooooooooo04_o
oooo0_l00?nkooooo`005Oooool00ol0003oooooooooo`19ooooo`;o003o_Oooool001Gooooo0_l0
0017ooooo`?o003o_oooool001Gooooo00?o0000ooooooooool0@oooool3o`00ol;ooooo000Eoooo
o`03o`000?oooooooooo043ooooo0ol00?o5ooooo`005Oooool00ol0003oooooooooo`0nooooo`;o
003ob?ooool001Gooooo00?o0000ooooooooool0>oooool3o`00ol[ooooo000Eooooo`03o`000?oo
oooooooo03Sooooo0ol00?o=ooooo`005Oooool00ol0003oooooooooo`0eooooo`?o003od?ooool0
01Gooooo00?o0000ooooooooool0<Oooool4o`00om?ooooo000Eooooo`;o0000;oooool3o`00omOo
oooo000Eooooo`03o`000?oooooooooo02_ooooo0ol00?oJooooo`005Oooool00ol0003ooooooooo
o`0Wooooo`Co003ogOooool001Gooooo00?o0000ooooooooool08oooool4o`00on7ooooo000Eoooo
o`03o`000?oooooooooo023ooooo0ol00?oUooooo`003Oooool3o`0000Gooooo00?o0000oooooooo
ool06oooool5o`00onSooooo000>ooooo`03o`000?oooooooooo00Cooooo00?o0000ooooooooool0
5_ooool5o`00ongooooo000>ooooo`03o`000?oooooooooo00Cooooo00?o0000ooooooooool02Ooo
ool=o`00oo;ooooo000>ooooo`03o`000?oooooooooo00Cooooo3?l00?ooooooo`003_ooool00ol0
003oooooooooo`04ooooo`03o`000?oooooooooo0?oooooo2Oooool000gooooo0_l00006ooooo`03
o`000?oooooooooo0?oooooo2Oooool000kooooo00?o0000ooooooooool01?ooool00ol0003ooooo
ooooo`3oooooo`Wooooo000Eooooo`03o`000?oooooooooo0?oooooo2Oooool00001\
\>"],
  ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.0829852, -0.07747, \
0.00386179, 0.00624851}}],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.952381 0.0147151 0.588604 [
[.21429 .00222 -9 -9 ]
[.21429 .00222 9 0 ]
[.40476 .00222 -9 -9 ]
[.40476 .00222 9 0 ]
[.59524 .00222 -9 -9 ]
[.59524 .00222 9 0 ]
[.78571 .00222 -9 -9 ]
[.78571 .00222 9 0 ]
[.97619 .00222 -3 -9 ]
[.97619 .00222 3 0 ]
[.01131 .13244 -18 -4.5 ]
[.01131 .13244 0 4.5 ]
[.01131 .25016 -18 -4.5 ]
[.01131 .25016 0 4.5 ]
[.01131 .36788 -18 -4.5 ]
[.01131 .36788 0 4.5 ]
[.01131 .4856 -18 -4.5 ]
[.01131 .4856 0 4.5 ]
[.01131 .60332 -6 -4.5 ]
[.01131 .60332 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.21429 .01472 m
.21429 .02097 L
s
[(0.2)] .21429 .00222 0 1 Mshowa
.40476 .01472 m
.40476 .02097 L
s
[(0.4)] .40476 .00222 0 1 Mshowa
.59524 .01472 m
.59524 .02097 L
s
[(0.6)] .59524 .00222 0 1 Mshowa
.78571 .01472 m
.78571 .02097 L
s
[(0.8)] .78571 .00222 0 1 Mshowa
.97619 .01472 m
.97619 .02097 L
s
[(1)] .97619 .00222 0 1 Mshowa
.125 Mabswid
.07143 .01472 m
.07143 .01847 L
s
.11905 .01472 m
.11905 .01847 L
s
.16667 .01472 m
.16667 .01847 L
s
.2619 .01472 m
.2619 .01847 L
s
.30952 .01472 m
.30952 .01847 L
s
.35714 .01472 m
.35714 .01847 L
s
.45238 .01472 m
.45238 .01847 L
s
.5 .01472 m
.5 .01847 L
s
.54762 .01472 m
.54762 .01847 L
s
.64286 .01472 m
.64286 .01847 L
s
.69048 .01472 m
.69048 .01847 L
s
.7381 .01472 m
.7381 .01847 L
s
.83333 .01472 m
.83333 .01847 L
s
.88095 .01472 m
.88095 .01847 L
s
.92857 .01472 m
.92857 .01847 L
s
.25 Mabswid
0 .01472 m
1 .01472 L
s
.02381 .13244 m
.03006 .13244 L
s
[(0.2)] .01131 .13244 1 0 Mshowa
.02381 .25016 m
.03006 .25016 L
s
[(0.4)] .01131 .25016 1 0 Mshowa
.02381 .36788 m
.03006 .36788 L
s
[(0.6)] .01131 .36788 1 0 Mshowa
.02381 .4856 m
.03006 .4856 L
s
[(0.8)] .01131 .4856 1 0 Mshowa
.02381 .60332 m
.03006 .60332 L
s
[(1)] .01131 .60332 1 0 Mshowa
.125 Mabswid
.02381 .04415 m
.02756 .04415 L
s
.02381 .07358 m
.02756 .07358 L
s
.02381 .10301 m
.02756 .10301 L
s
.02381 .16187 m
.02756 .16187 L
s
.02381 .1913 m
.02756 .1913 L
s
.02381 .22073 m
.02756 .22073 L
s
.02381 .27959 m
.02756 .27959 L
s
.02381 .30902 m
.02756 .30902 L
s
.02381 .33845 m
.02756 .33845 L
s
.02381 .39731 m
.02756 .39731 L
s
.02381 .42674 m
.02756 .42674 L
s
.02381 .45617 m
.02756 .45617 L
s
.02381 .51503 m
.02756 .51503 L
s
.02381 .54446 m
.02756 .54446 L
s
.02381 .57389 m
.02756 .57389 L
s
.25 Mabswid
.02381 0 m
.02381 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
0 0 1 r
.007 w
.02381 .60332 m
.02499 .60332 L
.02605 .60331 L
.02729 .60331 L
.02846 .6033 L
.03053 .60328 L
.03279 .60325 L
.03527 .60321 L
.0379 .60316 L
.04262 .60304 L
.04749 .60287 L
.05205 .60268 L
.06244 .60212 L
.07305 .60138 L
.08274 .60054 L
.10458 .5981 L
.12357 .59537 L
.14429 .59174 L
.18493 .58266 L
.22406 .5715 L
.26565 .55711 L
.30571 .54083 L
.34426 .523 L
.38527 .50178 L
.42475 .47924 L
.46273 .45571 L
.50315 .42875 L
.54206 .40107 L
.58342 .3699 L
.62326 .33831 L
.66159 .30661 L
.70238 .27159 L
.74164 .23678 L
.77939 .20243 L
.8196 .16505 L
.85828 .12846 L
.89942 .08904 L
.93905 .05075 L
.97619 .01472 L
s
1 0 0 r
.005 w
.97619 .01472 m
.97619 .17094 L
s
.02381 .58566 m
.21429 .58566 L
s
.21429 .01472 m
.21429 .58566 L
s
.21429 .54446 m
.40476 .54446 L
s
.40476 .01472 m
.40476 .54446 L
s
.40476 .42674 m
.59524 .42674 L
s
.59524 .01472 m
.59524 .42674 L
s
.59524 .27959 m
.78571 .27959 L
s
.78571 .01472 m
.78571 .27959 L
s
.78571 .12066 m
.97619 .12066 L
s
1 1 1 r
.97619 .01472 m
.97619 .27959 L
s
1 0 0 r
.97619 .01472 m
.97619 .12066 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{371, 229.062},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40005c0000iB000`400?l00000o`00003ooooooomd
ooooo`00Doooool2o`0000Cooooo00Co0000oooooooooooooooo1Ol0000eooooo`;o00001?ooool0
0ol0003oooooooooo`03ooooo`?o0000=?ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3
o`0003Kooooo0_l00004ooooo`03o`000?oooooooooo00;ooooo0ol0000kooooo`?o00002Oooool0
05;ooooo00Co0000oooooooooooo00002?ooool01?l0003oooooooooool0000dooooo`04o`000?oo
ooooooooo`0000[ooooo00?o0000ooooooooool0<_ooool01?l0003oooooooooool00007ooooo`05
o`000?ooooooooooooooool00000=?ooool01?l0003oooooooooool00007ooooo`05o`000?oooooo
ooooooooool00000>oooool00ol0003oooooooooo`08ooooo`00D_ooool01?l0003oooooooooool0
0009ooooo`03o`000?oooooooooo03Cooooo00Co0000oooooooooooo00001oooool5o`0003?ooooo
00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000003Cooooo00Co0000oooo
oooooooo00001oooool01Ol0003ooooooooooooooooo000003_ooooo00?o0000ooooooooool02?oo
ool005;ooooo00Co0000oooooooooooo00002_ooool00ol0003oooooooooo`0cooooo`04o`000?oo
ooooooooo`0000Oooooo00Co0000oooooooooooo0000=?ooool01?l0003oooooooooool00007oooo
o`Co0000=Oooool01?l0003oooooooooool00008ooooo`?o0000??ooool00ol0003oooooooooo`08
ooooo`00D_ooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool00000=?oo
ool01?l0003oooooooooool00008ooooo`03o`000?oooooo000003Cooooo00Co0000oooooooooooo
00001oooool00ol0003oooooooooo`0fooooo`04o`000?ooooooooooo`0000Oooooo00Go0000oooo
ooooooooooooo`00000kooooo`03o`000?oooooooooo00Sooooo001Booooo`04o`000?oooooooooo
o`0000Oooooo00Go0000ooooooooooooooooo`00000dooooo`04o`000?ooooooooooo`0000Wooooo
0_l0000dooooo`04o`000?ooooooooooo`0000Sooooo00?o0000ooooooooool0=Oooool01?l0003o
ooooooooool00007ooooo`05o`000?ooooooooooooooool00000>_ooool2o`0000[ooooo001Coooo
o`;o00002Oooool3o`0003Kooooo0_l0000;ooooo`03o`000?oooooooooo03?ooooo0_l0000:oooo
o`;o0000=_ooool2o`0000Wooooo0ol0000looooo`03o`000?oooooooooo00Sooooo003oooooogCo
oooo000Fooooo`03o`000?oooooooooo0?ooooooFoooool001Kooooo00?o0000ooooooooool0oooo
oomKooooo`005_ooool00ol0003oooooooooo`3ooooooe_ooooo000Fooooo`03o`000?oooooooooo
0?ooooooFoooool001Kooooo00?o0000ooooooooool0oooooomKooooo`003_oooom<o`000003ool0
0?l0003o0000047o000000?oo`00o`000?l00000@?l000000ooo003o0000o`000011o`000003ool0
0?l0003o0000043o000000?o003oool00?l000001ol00001ooooo`005_ooool00ol0003ooooooooo
o`0>ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ol0003ooooooooo
o`0>ooooo`03ool00?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ol0003ooooooooo
o`0>ooooo`03o`000?oooooooooo00kooooo00?oo`00ooooooooool03_ooool00ol0003ooooooooo
o`0=ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ooo003ooooooooo
o`0>ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ol0003ooooooooo
o`0>ooooo`03ool00?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ol0003ooooooooo
o`0>ooooo`03o`000?oooooooooo00cooooo0_l00?l00ooo003oooooooooo`07ooooo`005_ooool0
0ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0@?ooool0
0ooo003oooooooooo`11ooooo`03ool00?oooooooooo03kooooo0ol00?l00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00oooo
ooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo03gooooo0ol00?l00ooo
ooooo`00ooooo`08ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047o
oooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo03co
oooo0ol00?l2ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo047ooooo
00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047ooooo
00?oo`00ooooooooool0>oooool3o`00o`?ooooo00?oo`00ooooooooool01oooool001Kooooo00?o
0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?o
o`00ooooooooool0@Oooool00ooo003oooooooooo`0jooooo`?o003o1?ooool00ooo003ooooooooo
o`07ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00
ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo03Wooooo0ol00?l5
ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00oooo
ooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047ooooo00?oo`00oooo
ooooool0>?ooool3o`00o`Kooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?oo`00oooooooo
ool0@Oooool00ooo003oooooooooo`0gooooo`?o003o1oooool00ooo003oooooooooo`07ooooo`00
5_ooool2o`0004;ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool0
0?oooooooooo047ooooo00?oo`00ooooooooool0=_ooool3o`00o`Sooooo00?oo`00ooooooooool0
1oooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oo
oooooooo043ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`0eooooo`?o003o2Ooo
ool00ooo003oooooooooo`07ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooo
oooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooo
oooo03Cooooo0ol00?l:ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo
047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo
047ooooo00?oo`00ooooooooool0<_ooool4o`00o`_ooooo00?oo`00ooooooooool01oooool001Ko
oooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043o
oooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`0aooooo`Co003o3?ooool00ooo003o
ooooooooo`07ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo
00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo033ooooo
0ol00?l>ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo047ooooo00?o
o`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047ooooo00?o
o`00ooooooooool0;oooool3o`00o`oooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000
ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?oo`00
ooooooooool0@Oooool00ooo003oooooooooo`0^ooooo`?o003o4?ooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00oooo
ooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo02gooooo0ol00?lAoooo
o`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00oooooooo
ool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047ooooo00?oo`00oooooooo
ool0;?ooool3o`00oa;ooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool0
@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?oo`00ooooooooool0
@Oooool00ooo003oooooooooo`0[ooooo`?o003o4oooool00ooo003oooooooooo`07ooooo`005_oo
ool2o`0004;ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oo
oooooooo047ooooo00?oo`00ooooooooool0:_ooool3o`00oaCooooo00?oo`00ooooooooool01ooo
ool001Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooo
oooo043ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`0Yooooo`?o003o5Oooool0
0ooo003oooooooooo`07ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo
047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo
02Sooooo0ol00?lFooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo047o
oooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047o
oooo00?oo`00ooooooooool09oooool3o`00oaOooooo00?oo`00ooooooooool01oooool001Kooooo
00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo
00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`0Vooooo`?o003o6?ooool00ooo003ooooo
ooooo`07ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?o
o`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo02Cooooo1?l0
0?lIooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00
ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047ooooo00?oo`00
ooooooooool08oooool4o`00oa[ooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooo
ooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?oo`00oooo
ooooool0@Oooool00ooo003oooooooooo`0Rooooo`?o003o7?ooool00ooo003oooooooooo`07oooo
o`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00oooooooo
ool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo027ooooo0ol00?lMooooo`03
ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0
@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0
8?ooool3o`00oakooooo00?oo`00ooooooooool01oooool001Kooooo0_l00012ooooo`03ool00?oo
oooooooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oo
oooooooo01oooooo0ol00?lOooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooo
oooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooo
oooo047ooooo00?oo`00ooooooooool07_ooool3o`00ob3ooooo00?oo`00ooooooooool01oooool0
01Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo
043ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`0Mooooo`?o003o8Oooool00ooo
003oooooooooo`07ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047o
oooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo01co
oooo0ol00?lRooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo047ooooo
00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047ooooo
00?oo`00ooooooooool06oooool3o`00ob?ooooo00?oo`00ooooooooool01oooool001Kooooo00?o
0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?o
o`00ooooooooool0@Oooool00ooo003oooooooooo`0Jooooo`?o003o9?ooool00ooo003ooooooooo
o`07ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00
ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo01Wooooo0ol00?lU
ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00oooo
ooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047oooooAOoo0009oooo
o`000_ooool2o`0000Cooooo00Co0000oooooooooooooooo1Ol00005ooooo`03o`000?oooooooooo
047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo
047ooooo00?oo`00ooooooooool05oooool3o`00oc7ooooo00001Ooooooo0000oooooooooooo0000
00Sooooo00Co0000oooooooooooo00001Oooool00ol0003oooooooooo`11ooooo`03ool00?oooooo
oooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooo
oooo01Gooooo1?l00?lbooooo`0000Goooooo`000?ooooooooooo`000009ooooo`03o`000?oooooo
oooo00Gooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooo
oooo043ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`0Dooooo`Co003o<oooool0
0005ooooool0003oooooooooool000002_ooool00ol0003oooooooooo`04ooooo`?o0000@Oooool0
0ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?oo`00ooooooooool0@Oooool0
0ooo003oooooooooo`0Cooooo`?o003o=Oooool00005ooooool0003oooooooooool000001oooool0
1Ol0003ooooooooooooooooo000000Gooooo00?o0000ooooooooool0@Oooool00ooo003ooooooooo
o`11ooooo`03ool00?oooooooooo043ooooo00?oo`00ooooooooool0@Oooool00ooo003ooooooooo
o`0Booooo`?o003o=_ooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooooooo
oooooooo000000Gooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool0
0?oooooooooo043ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`0Aooooo`?o003o
=oooool000;ooooo0_l00009ooooo`?o00001_ooool00ol0003oooooooooo`11ooooo`03ool00?oo
oooooooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oo
oooooooo013ooooo0ol00?lhooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooo
oooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooo
oooo00oooooo0ol00?liooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo
047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo
00kooooo0ol00?ljooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047o
oooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo00go
oooo0ol00?lkooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo
00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo00cooooo
0ol00?llooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?o
o`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo00_ooooo0ol0
0?lmooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00
ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo00[ooooo0ol00?ln
ooooo`005_ooool2o`0004;ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10oooo
o`03ool00?oooooooooo047ooooo00?oo`00ooooooooool02Oooool3o`00ocoooooo000Fooooo`03
o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03
ool00?oooooooooo047ooooo00?oo`00ooooooooool02?ooool3o`00od3ooooo000Fooooo`03o`00
0?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool0
0?oooooooooo047ooooo00?oo`00ooooooooool01oooool3o`00od7ooooo000Fooooo`03o`000?oo
oooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oo
oooooooo047ooooo00?oo`00ooooooooool01_ooool3o`00od;ooooo000Fooooo`03o`000?oooooo
oooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooo
oooo047ooooo00?oo`00ooooooooool01Oooool3o`00od?ooooo000Fooooo`03o`000?oooooooooo
047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo
047ooooo00?oo`00ooooooooool01?ooool3o`00odCooooo000Fooooo`03o`000?oooooooooo047o
oooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047o
oooo00?oo`00ooooooooool00oooool3o`00odGooooo000Fooooo`03o`000?oooooooooo047ooooo
00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047ooooo
00?oo`00ooooooooool00_ooool3o`00odKooooo000Fooooo`03o`000?oooooooooo047ooooo00?o
o`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo047ooooo00Co
o`00oooooooooooooooo0ol00?m7ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oo
oooooooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`11ooooo`03ool00?oo
oooooooo00?o003oB?ooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11
ooooo`03ool00?oooooooooo043ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooo`00o`02
o`00odWooooo000Fooooo`;o0000@_ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo
043ooooo00?oo`00ooooooooool0@Oooool01?oo003o003oo`00ool00?m:ooooo`005_ooool00ol0
003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0@?ooool00ooo
003oooooooooo`11ooooo`03ool00?l00?oo003o04_ooooo000Fooooo`03o`000?oooooooooo047o
oooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo043o
oooo00?o003oool00?l00?l0C?ooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003ooooo
ooooo`11ooooo`03ool00?oooooooooo043ooooo00?oo`00ooooooooool0?oooool2o`00o`03ool0
0?oooooooooo04_ooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Ooo
ool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo03gooooo1?l00?l00ooo003ooooooooo
o`1;ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00
ooooooooool0@?ooool00ooo003oooooooooo`0looooo`Co003o00?oooooool00?ooool0C?ooool0
01Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo
043ooooo00?oo`00ooooooooool0>oooool3o`00o`?ooooo00?oo`00ooooooooool0Boooool001Ko
oooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043o
oooo00?oo`00ooooooooool0>_ooool3o`00o`Cooooo00?oo`00ooooooooool0Boooool001Kooooo
00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo
00?oo`00ooooooooool0>Oooool3o`00o`Gooooo00?oo`00ooooooooool0Boooool001Kooooo00?o
0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?o
o`00ooooooooool0>?ooool3o`00o`Kooooo00?oo`00ooooooooool0Boooool001Kooooo0_l00012
ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0f
ooooo`Co003o1oooool00ooo003oooooooooo`1;ooooo`005_ooool00ol0003oooooooooo`11oooo
o`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0eoooo
o`Co003o2?ooool00ooo003oooooooooo`1;ooooo`005_ooool00ol0003oooooooooo`11ooooo`03
ool00?oooooooooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0dooooo`?o
003o2_ooool00ooo003oooooooooo`1;ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool0
0?oooooooooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0cooooo`?o003o
2oooool00ooo003oooooooooo`1;ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oo
oooooooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0booooo`?o003o3?oo
ool00ooo003oooooooooo`1;ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooo
oooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0aooooo`?o003o3Oooool0
0ooo003oooooooooo`1;ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo
047ooooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0_ooooo`Co003o3_ooool00ooo
003oooooooooo`1;ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047o
oooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0^ooooo`Co003o3oooool00ooo003o
ooooooooo`1;ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00oooool3o`0000Gooooo
00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo
00?oo`00ooooooooool0;Oooool3o`00oa7ooooo00?oo`00ooooooooool0Boooool00005ooooool0
003oooooooooool000002_ooool00ol0003oooooooooo`04ooooo`03o`000?oooooooooo047ooooo
00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo02cooooo
0ol00?lBooooo`03ool00?oooooooooo04_ooooo00001Ooooooo0000oooooooooooo000000Oooooo
1Ol00005ooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003ooooo
ooooo`10ooooo`03ool00?oooooooooo02_ooooo0ol00?lCooooo`03ool00?oooooooooo04_ooooo
00001Ooooooo0000oooooooooooo000000Oooooo00Co0000oooooooooooo00001_ooool3o`00047o
oooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo02[o
oooo0ol00?lDooooo`03ool00?oooooooooo04_ooooo00001Ooooooo0000oooooooooooo000000So
oooo00?o0000ooooool000001_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047o
oooo00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0Xooooo`Co003o5Oooool00ooo003o
ooooooooo`1;ooooo`0000Goooooo`000?ooooooooooo`000009ooooo`;o00001_ooool00ol0003o
ooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0@?ooool00ooo003o
ooooooooo`0Wooooo`Co003o5_ooool00ooo003oooooooooo`1;ooooo`000_ooool2o`0000_ooooo
00?o0000ooooooooool01?ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo
00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0Vooooo`?o003o6?ooool00ooo003ooooo
ooooo`1;ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?o
o`00ooooooooool0@?ooool00ooo003oooooooooo`0Uooooo`?o003o6Oooool00ooo003ooooooooo
o`1;ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00
ooooooooool0@?ooool00ooo003oooooooooo`0Tooooo`?o003o6_ooool00ooo003oooooooooo`1;
ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00oooo
ooooool0@?ooool00ooo003oooooooooo`0Sooooo`?o003o6oooool00ooo003oooooooooo`1;oooo
o`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00oooooooo
ool0@?ooool00ooo003oooooooooo`0Qooooo`Co003o7?ooool00ooo003oooooooooo`1;ooooo`00
5_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0
@?ooool00ooo003oooooooooo`0Pooooo`Co003o7Oooool00ooo003oooooooooo`1;ooooo`005_oo
ool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0@?oo
ool00ooo003oooooooooo`0Oooooo`?o003o7oooool00ooo003oooooooooo`1;ooooo`005_ooool2
o`0004;ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooodGoo`00COooool0
01Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo
043ooooo00?oo`00ooooooooool07Oooool3o`00ofoooooo000Fooooo`03o`000?oooooooooo047o
oooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo01co
oooo0ol00?m`ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo
00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0Kooooo`?o003oLOooool001Kooooo00?o
0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?o
o`00ooooooooool06_ooool3o`00og;ooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00
ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo01Wooooo0ol00?mc
ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00oooo
ooooool0@?ooool00ooo003oooooooooo`0Hooooo`?o003oM?ooool001Kooooo00?o0000oooooooo
ool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?oo`00oooooooo
ool05oooool3o`00ogGooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0
@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo01Kooooo0ol00?mfooooo`005_oo
ool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0@?oo
ool00ooo003oooooooooo`0Eooooo`?o003oMoooool001Kooooo00?o0000ooooooooool0@Oooool0
0ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?oo`00ooooooooool04oooool4
o`00ogSooooo000Fooooo`;o0000@_ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo
043ooooo00?oo`00ooooooooool04_ooool4o`00ogWooooo000Fooooo`03o`000?oooooooooo047o
oooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo017o
oooo0ol00?mkooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo
00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`0@ooooo`?o003oO?ooool001Kooooo00?o
0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?o
o`00ooooooooool03_ooool4o`00oggooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00
ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo00gooooo1?l00?mn
ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00oooo
ooooool0@?ooool00ooo003oooooooooo`0<ooooo`?o003oP?ooool001Kooooo00?o0000oooooooo
ool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?oo`00oooooooo
ool02_ooool4o`00oh7ooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0
@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo00Wooooo1?l00?n2ooooo`005_oo
ool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0@?oo
ool00ooo003oooooooooo`08ooooo`?o003oQ?ooool001Kooooo00?o0000ooooooooool0@Oooool0
0ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?oo`00ooooooooool01oooool3
o`00ohGooooo000Fooooo`;o0000@_ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo
043ooooo00?oo`00ooooooooool01Oooool4o`00ohKooooo000Fooooo`03o`000?oooooooooo047o
oooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo00Co
oooo1?l00?n7ooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo
00?oo`00ooooooooool0@?ooool00ooo003oooooooooo`03ooooo`?o003oROooool001Kooooo00?o
0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo043ooooo00?o
o`00ooooooooool00_ooool3o`00oh[ooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00
ooooooooool0@Oooool00ooo003oooooooooo`10ooooo`03ool00?oooooooooo00Co003oRoooool0
01Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo
043ooooo00?oo`00ooooool00?l00ol00?n<ooooo`005_ooool00ol0003oooooooooo`11ooooo`03
ool00?oooooooooo047ooooo00?oo`00ooooooooool0@?ooool01?oo003o003oo`00ool00?n>oooo
o`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00oooooooo
ool0?oooool01?l00?ooo`00o`00ool00?n?ooooo`000_ooool2o`0000Cooooo00?o0000oooooooo
ool00_ooool3o`0000Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03
ool00?oooooooooo03kooooo0_l00?l00ooo003o003oooooo`2?ooooo`0000Goooooo`000?oooooo
ooooo`000007ooooo`05o`000?ooooooooooooooool000001Oooool00ol0003oooooooooo`11oooo
o`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0?Oooool3o`00o`03ool00?oooooooooo
08oooooo00001Ooooooo0000oooooooooooo000000Oooooo00Go0000ooooooooooooooooo`000005
ooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`0l
ooooo`?o003o00?oooooool00?ooool0T?ooool00005ooooool0003oooooooooool000001oooool4
o`0000Kooooo0ol00011ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0>_ooool4
o`00o`;ooooo00?oo`00ooooooooool0Soooool00005ooooool0003oooooooooool000001oooool0
0ol0003oooooooooo`07ooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool0
0ooo003oooooooooo`0iooooo`Co003o0oooool00ooo003oooooooooo`2?ooooo`0000Goooooo`00
0?ooooooooooo`000008ooooo`03o`000?oooooooooo00Kooooo00?o0000ooooooooool0@Oooool0
0ooo003oooooooooo`11ooooo`03ool00?oooooooooo03Sooooo0ol00?l5ooooo`03ool00?oooooo
oooo08oooooo0002ooooo`;o00002_ooool2o`0000Kooooo00?o0000ooooooooool0@Oooool00ooo
003oooooooooo`11ooooo`03ool00?oooooooooo03Kooooo1?l00?l6ooooo`03ool00?oooooooooo
08oooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003o
ooooooooo`0eooooo`Co003o1oooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003ooooo
ooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0<oooool4o`00o`Wooooo
00?oo`00ooooooooool0Soooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003ooooooooo
o`11ooooo`03ool00?oooooooooo03;ooooo1?l00?l:ooooo`03ool00?oooooooooo08oooooo000F
ooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`0a
ooooo`?o003o3?ooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`11oooo
o`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0;oooool4o`00o`gooooo00?oo`00oooo
ooooool0Soooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03
ool00?oooooooooo02kooooo1?l00?l>ooooo`03ool00?oooooooooo08oooooo000Fooooo`;o0000
@_ooool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo02gooooo0ol00?l@ooooo`03ool0
0?oooooooooo08oooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Ooo
ool00ooo003oooooooooo`0[ooooo`Co003o4Oooool00ooo003oooooooooo`2?ooooo`005_ooool0
0ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool0:_ooool4
o`00oa;ooooo00?oo`00ooooooooool0Soooool001Kooooo00?o0000ooooooooool0@Oooool00ooo
003oooooooooo`11ooooo`03ool00?oooooooooo02Wooooo0ol00?lDooooo`03ool00?oooooooooo
08oooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003o
ooooooooo`0Wooooo`Co003o5Oooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003ooooo
ooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool09_ooool4o`00oaKooooo
00?oo`00ooooooooool0Soooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003ooooooooo
o`11ooooo`03ool00?oooooooooo02Gooooo0ol00?lHooooo`03ool00?oooooooooo08oooooo000F
ooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`0T
ooooo`?o003o6Oooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`11oooo
o`03ool00?oooooooooo047ooooo00?oo`00ooooooooool08_ooool4o`00oa[ooooo00?oo`00oooo
ooooool0Soooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03
ool00?oooooooooo027ooooo1?l00?lKooooo`03ool00?oooooooooo08oooooo000Fooooo`;o0000
@_ooool00ooo003oooooooooo`11ooooodCoo`00TOooool001Kooooo00?o0000ooooooooool0@Ooo
ool00ooo003oooooooooo`11ooooo`03ool00?oooooooooo01kooooo1?l00?n`ooooo`005_ooool0
0ol0003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool07Oooool4
o`00ok7ooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo
003oooooooooo`0Kooooo`Co003o/oooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003o
ooooooooo`11ooooo`03ool00?oooooooooo01[ooooo1?l00?ndooooo`005_ooool00ol0003ooooo
ooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool06?ooool4o`00okKooooo
000Fooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003ooooooooo
o`0Gooooo`Co003o]oooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11
ooooo`03ool00?oooooooooo01Gooooo1?l00?niooooo`005_ooool00ol0003oooooooooo`11oooo
o`03ool00?oooooooooo047ooooo00?oo`00ooooooooool05?ooool4o`00ok[ooooo000Fooooo`03
o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`0Booooo`Co
003o_?ooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03ool0
0?oooooooooo017ooooo1?l00?nmooooo`005_ooool2o`0004;ooooo00?oo`00ooooooooool0@Ooo
ool00ooo003oooooooooo`0?ooooo`Co003o_oooool001Kooooo00?o0000ooooooooool0@Oooool0
0ooo003oooooooooo`11ooooo`03ool00?oooooooooo00kooooo1?l00?o0ooooo`005_ooool00ol0
003oooooooooo`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool03?ooool4o`00
ol;ooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003o
ooooooooo`0:ooooo`Go003o`oooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003ooooo
ooooo`11ooooo`03ool00?oooooooooo00Wooooo1?l00?o5ooooo`005_ooool00ol0003ooooooooo
o`11ooooo`03ool00?oooooooooo047ooooo00?oo`00ooooooooool01oooool4o`00olOooooo000F
ooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool00ooo003oooooooooo`05
ooooo`Go003ob?ooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11oooo
o`03ool00?oooooooooo00Cooooo1?l00?o:ooooo`000_ooool2o`0000Cooooo00?o0000oooooooo
ool00_ooool3o`0000Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`11ooooo`03
ool00?oooooooooo00;ooooo1?l00?o<ooooo`0000Goooooo`000?ooooooooooo`000007ooooo`05
o`000?ooooooooooooooool000001Oooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo
047ooooo00?oo`00ooooooooool01Ol00?o=ooooo`0000Goooooo`000?ooooooooooo`000007oooo
o`05o`000?ooooooooooooooool000001Oooool3o`00047ooooo00?oo`00ooooooooool0@Oooool0
0ooo003oooooo`00o`03o`00oloooooo00001Ooooooo0000oooooooooooo000000Sooooo0ol00006
ooooo`03o`000?oooooooooo047ooooo00?oo`00ooooooooool0@Oooool01?oo003o003oo`00ool0
0?oAooooo`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool00000
1Oooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo03oooooo0_l00?l00ooo003o003o
o`00o`3Booooo`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool0
00001Oooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo03gooooo1?l00?l00ooo003o
ooooooooo`3Booooo`000_ooool2o`0000Wooooo0ol00006ooooo`03o`000?oooooooooo047ooooo
00?oo`00ooooooooool0??ooool4o`00o`03oooooooo003ooooo0=?ooooo000Fooooo`03o`000?oo
oooooooo047ooooo00?oo`00ooooooooool0>_ooool4o`00o`?ooooo00?oo`00ooooooooool0d_oo
ool001Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`0hooooo`Go003o1?ooool0
0ooo003oooooooooo`3Booooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo
03Kooooo1Ol00?l6ooooo`03ool00?oooooooooo0=;ooooo000Fooooo`03o`000?oooooooooo047o
oooo00?oo`00ooooooooool0=?ooool5o`00o`Sooooo00?oo`00ooooooooool0d_ooool001Kooooo
00?o0000ooooooooool0@Oooool00ooo003oooooooooo`0booooo`Go003o2_ooool00ooo003ooooo
ooooo`3Booooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo037ooooo1?l0
0?l<ooooo`03ool00?oooooooooo0=;ooooo000Fooooo`;o0000@_ooool00ooo003oooooooooo`0_
ooooo`Co003o3_ooool00ooo003oooooooooo`3Booooo`005_ooool00ol0003oooooooooo`11oooo
o`03ool00?oooooooooo02gooooo1Ol00?l?ooooo`03ool00?oooooooooo0=;ooooo000Fooooo`03
o`000?oooooooooo047ooooo00?oo`00ooooooooool0:oooool5o`00oa7ooooo00?oo`00oooooooo
ool0d_ooool001Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`0Yooooo`Go003o
4oooool00ooo003oooooooooo`3Booooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oo
oooooooo02Kooooo1_l00?lEooooo`03ool00?oooooooooo0=;ooooo000Fooooo`03o`000?oooooo
oooo047ooooo00?oo`00ooooooooool09?ooool6o`00oaOooooo00?oo`00ooooooooool0d_ooool0
01Kooooo00?o0000ooooooooool0@Oooool00ooo003oooooooooo`0Rooooo`Go003o6_ooool00ooo
003oooooooooo`3Booooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oooooooooo01oo
oooo1_l00?lLooooo`03ool00?oooooooooo0=;ooooo000Fooooo`03o`000?oooooooooo047ooooo
00?oo`00ooooooooool07Oooool6o`00oakooooo00?oo`00ooooooooool0d_ooool001Kooooo00?o
0000ooooooooool0@Oooool00ooo003oooooooooo`0Kooooo`Go003o8Oooool00ooo003ooooooooo
o`3Booooo`005_ooool2o`0004;oooooAOoo003Dooooo`005_ooool00ol0003oooooooooo`11oooo
o`03ool00?oooooooooo01Kooooo1_l00?ojooooo`005_ooool00ol0003oooooooooo`11ooooo`03
ool00?oooooooooo01Cooooo1Ol00?omooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool0
0?oooooooooo017ooooo1_l00?ooooooo`005_ooool00ol0003oooooooooo`11ooooo`03ool00?oo
oooooooo00oooooo1_l00?ooooooo`;ooooo000Fooooo`03o`000?oooooooooo047ooooo00?oo`00
ooooooooool03Oooool5o`00oooooooo1Oooool001Kooooo00?o0000ooooooooool0@Oooool00ooo
003oooooooooo`0:ooooo`Ko003oooooool7ooooo`005_ooool00ol0003oooooooooo`11ooooo`03
ool00?oooooooooo00Oooooo1ol00?ooooooo`Wooooo000Fooooo`03o`000?oooooooooo047ooooo
00?oo`00ooooooooool01?ooool7o`00oooooooo3?ooool001Kooooo00?o0000ooooooooool0@Ooo
ool01?oo003oooooooooooooool7o`00oooooooo3oooool001Kooooo00?o0000ooooooooool0@Ooo
ool00ooo003o003oo`00o`05o`00oooooooo4_ooool001Kooooo0_l0000oooooo`?o003o00?oo`00
o`00ool00?l00_l00?oooooooaGooooo000Fooooo`03o`000?oooooooooo03[ooooo1ol00?l00ooo
003oooooooooo`3ooooooaOooooo000Fooooo`03o`000?oooooooooo03Oooooo2?l00?l2ooooo`03
ool00?oooooooooo0?oooooo5oooool001Kooooo00?o0000ooooooooool0<oooool8o`00o`Kooooo
00?oo`00ooooooooool0oooooolGooooo`005_oooom5ool00?oooooo6Oooool001Kooooo00?o0000
ooooooooool0:Oooool;o`00oooooooo9oooool001Kooooo00?o0000ooooooooool09?ooool;o`00
oooooooo;?ooool001Kooooo00?o0000ooooooooool07Oooool=o`00oooooooo<Oooool000gooooo
0ol00006ooooo`03o`000?oooooooooo01Gooooo4?l00?ooooooocKooooo000>ooooo`03o`000?oo
oooooooo00Gooooo00?o0000ooooooooool04?ooool>o`00oooooooo?Oooool000kooooo00?o0000
ooooooooool01?oooolJo`00ooooooooAOooool000kooooo00?o0000ooooooooool01?oooolEo`00
ooooooooB_ooool000kooooo00?o0000ooooooooool01Oooool00ol0003oooooooooo`3ooooooe_o
oooo000=ooooo`;o00001oooool00ol0003oooooooooo`3ooooooe_ooooo000>ooooo`03o`000?oo
oooooooo00Gooooo00?o0000ooooooooool0oooooomKooooo`005_ooool00ol0003oooooooooo`3o
oooooe_ooooo0000\
\>"],
  ImageRangeCache->{{{0, 370}, {228.062, 0}} -> {-0.0666922, -0.0642172, \
0.0029517, 0.00477595}}]
}, Open  ]],

Cell[BoxData[
    FormBox[
      TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
        False,
        Editable->False], TraditionalForm]], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(inte = 0.637;\)\), "\n", 
    \(\(ob3 = 
        Graphics[{Thickness[0.005], Red, 
            Line[{{0, \(1/0.1\)/6*inte}, {0.1, \(1/0.1\)/6*inte}}], 
            Line[{{0.1, 0}, {0.1, \(1/0.1\)/6*inte}}], 
            Line[{{0.1, \(1/0.11\)/6*inte}, {0.21, \(1/0.11\)/6*inte}}], 
            Line[{{0.21, 0}, {0.21, \(1/0.11\)/6*inte}}], 
            Line[{{0.21, \(1/0.11\)/6*inte}, {0.32, \(1/0.11\)/6*inte}}], 
            Line[{{0.32, 0}, {0.32, \(1/0.11\)/6*inte}}], 
            Line[{{0.32, \(1/0.13\)/6*inte}, {0.45, \(1/0.13\)/6*inte}}], 
            Line[{{0.45, 0}, {0.45, \(1/0.13\)/6*inte}}], 
            Line[{{0.45, \(1/0.15\)/6*inte}, {0.6, \(1/0.15\)/6*inte}}], 
            Line[{{0.6, 0}, {0.6, \(1/0.15\)/6*inte}}], 
            Line[{{0.6, \(1/0.4\)/6*inte}, {1, \(1/0.4\)/6*
                    inte}}]}];\)\), "\n", 
    \(\(\(Show[ob1, ob2, ob3]\)\(\n\)
    \)\), "\[IndentingNewLine]", 
    \(\)}], "Input"],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.952381 0.0147151 0.554415 [
[.21429 .00222 -9 -9 ]
[.21429 .00222 9 0 ]
[.40476 .00222 -9 -9 ]
[.40476 .00222 9 0 ]
[.59524 .00222 -9 -9 ]
[.59524 .00222 9 0 ]
[.78571 .00222 -9 -9 ]
[.78571 .00222 9 0 ]
[.97619 .00222 -3 -9 ]
[.97619 .00222 3 0 ]
[.01131 .1256 -18 -4.5 ]
[.01131 .1256 0 4.5 ]
[.01131 .23648 -18 -4.5 ]
[.01131 .23648 0 4.5 ]
[.01131 .34736 -18 -4.5 ]
[.01131 .34736 0 4.5 ]
[.01131 .45825 -18 -4.5 ]
[.01131 .45825 0 4.5 ]
[.01131 .56913 -6 -4.5 ]
[.01131 .56913 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.21429 .01472 m
.21429 .02097 L
s
[(0.2)] .21429 .00222 0 1 Mshowa
.40476 .01472 m
.40476 .02097 L
s
[(0.4)] .40476 .00222 0 1 Mshowa
.59524 .01472 m
.59524 .02097 L
s
[(0.6)] .59524 .00222 0 1 Mshowa
.78571 .01472 m
.78571 .02097 L
s
[(0.8)] .78571 .00222 0 1 Mshowa
.97619 .01472 m
.97619 .02097 L
s
[(1)] .97619 .00222 0 1 Mshowa
.125 Mabswid
.07143 .01472 m
.07143 .01847 L
s
.11905 .01472 m
.11905 .01847 L
s
.16667 .01472 m
.16667 .01847 L
s
.2619 .01472 m
.2619 .01847 L
s
.30952 .01472 m
.30952 .01847 L
s
.35714 .01472 m
.35714 .01847 L
s
.45238 .01472 m
.45238 .01847 L
s
.5 .01472 m
.5 .01847 L
s
.54762 .01472 m
.54762 .01847 L
s
.64286 .01472 m
.64286 .01847 L
s
.69048 .01472 m
.69048 .01847 L
s
.7381 .01472 m
.7381 .01847 L
s
.83333 .01472 m
.83333 .01847 L
s
.88095 .01472 m
.88095 .01847 L
s
.92857 .01472 m
.92857 .01847 L
s
.25 Mabswid
0 .01472 m
1 .01472 L
s
.02381 .1256 m
.03006 .1256 L
s
[(0.2)] .01131 .1256 1 0 Mshowa
.02381 .23648 m
.03006 .23648 L
s
[(0.4)] .01131 .23648 1 0 Mshowa
.02381 .34736 m
.03006 .34736 L
s
[(0.6)] .01131 .34736 1 0 Mshowa
.02381 .45825 m
.03006 .45825 L
s
[(0.8)] .01131 .45825 1 0 Mshowa
.02381 .56913 m
.03006 .56913 L
s
[(1)] .01131 .56913 1 0 Mshowa
.125 Mabswid
.02381 .04244 m
.02756 .04244 L
s
.02381 .07016 m
.02756 .07016 L
s
.02381 .09788 m
.02756 .09788 L
s
.02381 .15332 m
.02756 .15332 L
s
.02381 .18104 m
.02756 .18104 L
s
.02381 .20876 m
.02756 .20876 L
s
.02381 .2642 m
.02756 .2642 L
s
.02381 .29192 m
.02756 .29192 L
s
.02381 .31964 m
.02756 .31964 L
s
.02381 .37508 m
.02756 .37508 L
s
.02381 .40281 m
.02756 .40281 L
s
.02381 .43053 m
.02756 .43053 L
s
.02381 .48597 m
.02756 .48597 L
s
.02381 .51369 m
.02756 .51369 L
s
.02381 .54141 m
.02756 .54141 L
s
.02381 .59685 m
.02756 .59685 L
s
.25 Mabswid
.02381 0 m
.02381 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
0 0 1 r
.007 w
.02381 .56913 m
.02499 .56913 L
.02605 .56913 L
.02729 .56912 L
.02846 .56911 L
.03053 .5691 L
.03279 .56907 L
.03527 .56903 L
.0379 .56898 L
.04262 .56886 L
.04749 .56871 L
.05205 .56853 L
.06244 .568 L
.07305 .5673 L
.08274 .56651 L
.10458 .56422 L
.12357 .56164 L
.14429 .55822 L
.18493 .54967 L
.22406 .53916 L
.26565 .52561 L
.30571 .51027 L
.34426 .49348 L
.38527 .47349 L
.42475 .45226 L
.46273 .43009 L
.50315 .4047 L
.54206 .37863 L
.58342 .34927 L
.62326 .31952 L
.66159 .28965 L
.70238 .25667 L
.74164 .22388 L
.77939 .19153 L
.8196 .15632 L
.85828 .12185 L
.89942 .08472 L
.93905 .04866 L
.97619 .01472 L
s
1 0 0 r
.005 w
.97619 .01472 m
.97619 .16187 L
s
.02381 .60332 m
.11905 .60332 L
s
.11905 .01472 m
.11905 .60332 L
s
.11905 .54981 m
.22381 .54981 L
s
.22381 .01472 m
.22381 .54981 L
s
.22381 .54981 m
.32857 .54981 L
s
.32857 .01472 m
.32857 .54981 L
s
.32857 .46749 m
.45238 .46749 L
s
.45238 .01472 m
.45238 .46749 L
s
.45238 .40712 m
.59524 .40712 L
s
.59524 .01472 m
.59524 .40712 L
s
.59524 .16187 m
.97619 .16187 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{288, 177.938},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40004P0000/B000`400?l00000o`00003ooooooolQ
ooooo`00@_ooool2o`0000Cooooo00Co0000oooooooooooooooo1Ol0000Uooooo`;o00001?ooool0
0ol0003oooooooooo`03ooooo`?o00009?ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3
o`0002Kooooo0_l00004ooooo`03o`000?oooooooooo00;ooooo0ol0000[ooooo`?o00001oooool0
047ooooo00Co0000oooooooooooo00002?ooool01?l0003oooooooooool0000Tooooo`04o`000?oo
ooooooooo`0000[ooooo00?o0000ooooooooool08_ooool01?l0003oooooooooool00007ooooo`05
o`000?ooooooooooooooool000009?ooool01?l0003oooooooooool00007ooooo`05o`000?oooooo
ooooooooool00000:oooool00ol0003oooooooooo`06ooooo`00@Oooool01?l0003oooooooooool0
0009ooooo`03o`000?oooooooooo02Cooooo00Co0000oooooooooooo00001oooool5o`0002?ooooo
00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000002Cooooo00Co0000oooo
oooooooo00001oooool01Ol0003ooooooooooooooooo000002_ooooo00?o0000ooooooooool01_oo
ool0047ooooo00Co0000oooooooooooo00002_ooool00ol0003oooooooooo`0Sooooo`04o`000?oo
ooooooooo`0000Oooooo00Co0000oooooooooooo00009?ooool01?l0003oooooooooool00007oooo
o`Co00009Oooool01?l0003oooooooooool00008ooooo`?o0000;?ooool00ol0003oooooooooo`06
ooooo`00@Oooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool000009?oo
ool01?l0003oooooooooool00008ooooo`03o`000?oooooo000002Cooooo00Co0000oooooooooooo
00001oooool00ol0003oooooooooo`0Vooooo`04o`000?ooooooooooo`0000Oooooo00Go0000oooo
ooooooooooooo`00000[ooooo`03o`000?oooooooooo00Kooooo0011ooooo`04o`000?oooooooooo
o`0000Oooooo00Go0000ooooooooooooooooo`00000Tooooo`04o`000?ooooooooooo`0000Wooooo
0_l0000Tooooo`04o`000?ooooooooooo`0000Sooooo00?o0000ooooooooool09Oooool01?l0003o
ooooooooool00007ooooo`05o`000?ooooooooooooooool00000:_ooool2o`0000Sooooo0012oooo
o`;o00002Oooool3o`0002Kooooo0_l0000;ooooo`03o`000?oooooooooo02?ooooo0_l0000:oooo
o`;o00009_ooool2o`0000Wooooo0ol0000/ooooo`03o`000?oooooooooo00Kooooo000Eooooo`03
o`000?oooooooooo0?oooooo2Oooool001Gooooo00?o0000ooooooooool0ooooool9ooooo`005Ooo
ool00ol0003oooooooooo`3oooooo`Wooooo000Eooooo`03o`000?oooooooooo0?oooooo2Oooool0
00kooooo8Ol000000ooo003o0000o`00000Io`000003ool00?l0003o000001[o000000?oo`00o`00
0?l000007ol000000ooo003o0000o`00000So`000003ool00?l0003o000006Co000000?o003oool0
0?l000001_l0000001Gooooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:ooooo`03
ool00?oooooooooo00[ooooo00?o0000ooooooooool02_ooool00ol0003oooooool0000:ooooo`03
o`000?oooooooooo00[ooooo00?o0000ooooooooool00_ooool00ooo003oooooooooo`05ooooo`03
o`000?oooooooooo00[ooooo00?o0000ooooooooool02_ooool00ooo003oooooooooo`09ooooo`03
o`000?oooooooooo00[ooooo00?o0000ooooooooool02_ooool00ooo003oooooooooo`0:ooooo`03
o`000?oooooooooo00[ooooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:ooooo`03
o`000?oooooooooo00[ooooo00?o0000ooooooooool02_ooool00ol0003oooooooooo`0:ooooo`03
o`000?oooooooooo00Sooooo00?o003ooooooooo00001oooool001Gooooo00?o0000ooooooooool0
5oooool00ooo003oooooooooo`0Gooooo`03o`000?ooooooo`0001cooooo00?oo`00ooooooooool0
4_ooool00ol0003oooooooooo`0:ooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0
<Oooool00ol0003oooooooooo`0^ooooo`04o`00ooooooooooooool000Oooooo000Eooooo`03o`00
0?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool0
0?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`1Qooooo`05o`00
oooooooooooooooooooo00001oooool001Gooooo00?o0000ooooooooool05oooool00ooo003ooooo
ooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003ooooo
ooooo`0Sooooo`03ool00?oooooooooo063ooooo00?o003oooooooooool00_ooool00ooo003ooooo
ooooo`05ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?o
o`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0Goooool00ol00?ooooooooooo`03ooooo`03ool00?oooooooooo00Gooooo000E
ooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0J
ooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`1N
ooooo`03o`00oooooooooooo00Cooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000oooo
ooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00oooo
ooooool07oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo05gooooo00?o003ooooo
ooooool01Oooool00ooo003oooooooooo`05ooooo`005Oooool2o`0001Sooooo00?oo`00oooooooo
ool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00oooooooo
ool08oooool00ooo003oooooooooo`1Looooo`03o`00oooooooooooo00Kooooo00?oo`00oooooooo
ool01Oooool001Gooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool0
0?oooooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03ool0
0?oooooooooo05[ooooo0_l00?l9ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03o`000?oo
oooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oo
oooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`1Iooooo`03o`00oooo
oooooooo00Wooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool05oooool0
0ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool0
0ooo003oooooooooo`0Sooooo`03ool00?oooooooooo05Sooooo00?o003oooooooooool02_ooool0
0ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo
01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0Eoooool00ol00?ooooooooooo`0;ooooo`03ool00?oooooooooo
00Gooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003o
ooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003o
ooooooooo`1Fooooo`03o`00oooooooooooo00cooooo00?oo`00ooooooooool01Oooool001Gooooo
00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo
00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo05Gooooo
00?o003oooooooooool03Oooool00ooo003oooooooooo`05ooooo`005Oooool2o`0001Sooooo00?o
o`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`1Dooooo`03o`00oooooooooooo00kooooo00?o
o`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0I
ooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0S
ooooo`03ool00?oooooooooo05?ooooo00?o003oooooooooool03oooool00ooo003oooooooooo`05
ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00oooo
ooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00oooo
ooooool0D_ooool00ol00?ooooooooooo`0@ooooo`03ool00?oooooooooo00Gooooo000Eooooo`03
o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03
ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`1Aooooo`03
o`00oooooooooooo017ooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool0
5oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool0
7oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo04oooooo0_l00?lDooooo`03ool0
0?oooooooooo00Gooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Ooo
ool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`1>ooooo`03o`00oooooooooooo01Cooooo00?oo`00ooooooooool01Ooo
ool001Gooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooo
oooo01[ooooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo04gooooo00?o003oooooooooool05Oooool00ooo003oooooooooo`05ooooo`005Oooool00ol0
003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo
003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0C?ooool00ol0
0?ooooooooooo`0Fooooo`03ool00?oooooooooo00Gooooo000Eooooo`;o00006?ooool00ooo003o
ooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003o
ooooooooo`0Sooooo`03ool00?oooooooooo04_ooooo00?o003oooooooooool05oooool00ooo003o
ooooooooo`05ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo
00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo
00?oo`00ooooooooool0B_ooool00ol00?ooooooooooo`0Hooooo`03ool00?oooooooooo00Gooooo
000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003ooooooooo
o`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003ooooooooo
o`19ooooo`03o`00oooooooooooo01Wooooo00?oo`00ooooooooool01Oooool001Gooooo00?o0000
ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00
ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo04Sooooo00?o003o
ooooooooool06_ooool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`0Goooo
o`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Ooooo
o`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0Aoooool00ol00?ooooooooooo`0Koooo
o`03ool00?oooooooooo00Gooooo0002ooooo`;o00001?ooool01?l0003oooooooooooooool5o`00
00Cooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo
01[ooooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo
04Kooooo00?o003oooooooooool07?ooool00ooo003oooooooooo`05ooooo`0000Goooooo`000?oo
ooooooooo`000008ooooo`04o`000?ooooooooooo`0000Cooooo00?o0000ooooooooool05oooool0
0ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool0
0ooo003oooooooooo`0Sooooo`03ool00?oooooooooo04Cooooo0_l00?lOooooo`03ool00?oooooo
oooo00Gooooo00001Ooooooo0000oooooooooooo000000Wooooo00?o0000ooooooooool01?ooool3
o`0001Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooo
oooo01oooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`13ooooo`03o`00oooooooo
oooo01oooooo00?oo`00ooooooooool01Oooool00005ooooool0003oooooooooool000002_ooool0
0ol0003oooooooooo`03ooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool0
0ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool0
0ooo003oooooooooo`12ooooo`03o`00oooooooooooo023ooooo00?oo`00ooooooooool01Oooool0
0005ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo000000Cooooo00?o
0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?o
o`00ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo047ooooo00?o
003oooooooooool08Oooool00ooo003oooooooooo`05ooooo`0000Goooooo`000?ooooooooooo`00
0007ooooo`05o`000?ooooooooooooooool000001?ooool00ol0003oooooooooo`0Gooooo`03ool0
0?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool0
0?oooooooooo02?ooooo00?oo`00ooooooooool0@?ooool00ol00?ooooooooooo`0Rooooo`03ool0
0?oooooooooo00Gooooo0002ooooo`;o00002Oooool3o`0000Gooooo00?o0000ooooooooool05ooo
ool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07ooo
ool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo03oooooo00?o003oooooooooool08ooo
ool00ooo003oooooooooo`05ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooo
oooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0?_ooool00ol00?ooooooooooo`0Tooooo`03ool00?oooooo
oooo00Gooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo
003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo
003oooooooooo`0mooooo`03o`00oooooooooooo02Gooooo00?oo`00ooooooooool01Oooool001Go
oooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[o
oooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo03co
oooo00?o003oooooooooool09_ooool00ooo003oooooooooo`05ooooo`005Oooool2o`0001Sooooo
00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0kooooo`03o`00oooooooooooo02Oooooo
00?oo`00ooooooooool01Oooool001Gooooo00?o0000ooooooooool05oooool00ooo003ooooooooo
o`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003ooooooooo
o`0Sooooo`03ool00?oooooooooo03Wooooo0_l00?lZooooo`03ool00?oooooooooo00Gooooo000E
ooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0J
ooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08ooooomYool000Oooooo000Eoooo
o`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Joooo
o`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0goooo
o`03o`00oooooooooooo03?ooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00oooooooo
ool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00oooooooo
ool08oooool00ooo003oooooooooo`0fooooo`03o`00oooooooooooo03Cooooo000Eooooo`03o`00
0?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool0
0?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0dooooo`;o003o
=oooool001Gooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oo
oooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03ool00?oo
oooooooo03?ooooo00?o003oooooooooool0=oooool001Gooooo0_l0000Hooooo`03ool00?oooooo
oooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0<_ooool00ol00?ooooooooooo`0hooooo`005Oooool00ol0
003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo
003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0<Oooool00ol0
0?ooooooooooo`0iooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wo
oooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0<?ooool00ol00?ooooooooooo`0jooooo`005Oooool00ol0003ooooo
ooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0;_ooool2o`00ocgooooo
000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003ooooooooo
o`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003ooooooooo
o`0]ooooo`03o`00oooooooooooo03gooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00
ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00
ooooooooool08oooool00ooo003oooooooooo`0/ooooo`03o`00oooooooooooo03kooooo000Eoooo
o`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Joooo
o`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0[oooo
o`03o`00oooooooooooo03oooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00oooooooo
ool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00oooooooo
ool08oooool00ooo003oooooooooo`0Zooooo`03o`00oooooooooooo043ooooo000Eooooo`;o0000
6?ooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool0
7oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o003oooooooooool0
@Oooool001Gooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oo
oooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03ool00?oo
oooooooo02Sooooo00?o003oooooooooool0@_ooool001Gooooo00?o0000ooooooooool05oooool0
0ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool0
0ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Oooooo00?o003oooooooooool0@oooool0
01Gooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo
01[ooooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo
02Kooooo00?o003oooooooooool0A?ooool001Gooooo00?o0000ooooooooool05oooool00ooo003o
ooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003o
ooooooooo`0Sooooo`03ool00?oooooooooo02Cooooo0_l00?m7ooooo`000_ooool2o`0000Cooooo
00?o0000ooooooooool00oooool3o`0000Cooooo00?o0000ooooooooool05oooool00ooo003ooooo
ooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003ooooo
ooooo`0Sooooo`03ool00?oooooooooo02?ooooo00?o003oooooooooool0Aoooool00005ooooool0
003oooooooooool000002_ooool00ol0003oooooooooo`03ooooo`03o`000?oooooooooo01Oooooo
00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Rooooo`03o`00oooooooooooo04Sooooo
00001Ooooooo0000oooooooooooo000000Oooooo1Ol00004ooooo`?o00005oooool00ooo003ooooo
ooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003ooooo
ooooo`0Sooooo`03ool00?oooooooooo027ooooo00?o003oooooooooool0BOooool00005ooooool0
003oooooooooool000001oooool01?l0003oooooooooool00005ooooo`03o`000?oooooooooo01Oo
oooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oo
oooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Pooooo`03o`00oooooooooooo04[o
oooo00001Ooooooo0000oooooooooooo000000Sooooo00?o0000ooooool000001Oooool00ol0003o
ooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003o
ooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool07oooool00ol00?oo
ooooooooo`1;ooooo`0000Goooooo`000?ooooooooooo`000009ooooo`;o00001Oooool00ol0003o
ooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003o
ooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool07_ooool00ol00?oo
ooooooooo`1<ooooo`000_ooool2o`0000_ooooo00?o0000ooooooooool00oooool00ol0003ooooo
ooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool07Oooool00ol00?oooooo
ooooo`1=ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?o
o`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool07?ooool00ol00?ooooooooooo`1>ooooo`005Oooool00ol0003oooooooooo`0G
ooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0O
ooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool06_ooool2o`00oe7ooooo000Eoooo
o`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Joooo
o`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Ioooo
o`03o`00oooooooooooo057ooooo000Eooooo`;o00006?ooool00ooo003oooooooooo`0Iooooo`03
ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo01Sooooo00?o003oooooooooool0D_ooool001Gooooo00?o0000ooooooooool0
5oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool0
7oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo01Kooooo0_l00?mEooooo`005Ooo
ool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_oo
ool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool05Ooo
ool00ol00?ooooooooooo`1Eooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooo
oooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool05?ooool00ol00?ooooooooooo`1Fooooo`005Oooool00ol0
003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo
003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool04_ooool2o`00
oeWooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003o
ooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003o
ooooooooo`0Aooooo`03o`00oooooooooooo05Wooooo000Eooooo`03o`000?oooooooooo01Oooooo
00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0@ooooo`03o`00oooooooooooo05[ooooo
000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003ooooooooo
o`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003ooooooooo
o`0>ooooo`;o003oGOooool001Gooooo0_l0000Hooooo`03ool00?oooooooooo01Wooooo00?oo`00
ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool03Oooool00ol00?ooooooooooo`1Mooooo`005Oooool00ol0003oooooooooo`0Goooo
o`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Ooooo
o`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool03?ooool00ol00?ooooooooooo`1Noooo
o`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00oooooooo
ool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool02oooool00ol00?ooooooooooo`1Oooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool0
0?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool0
0?oooooooooo02?ooooo00?oo`00ooooooooool02Oooool2o`00of;ooooo000Eooooo`03o`000?oo
oooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oo
oooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`08ooooo`03o`00oooo
oooooooo06;ooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool0
0ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool0
0ooo003oooooooooo`07ooooo`03o`00oooooooooooo06?ooooo000Eooooo`03o`000?oooooooooo
01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo
01oooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`06ooooo`03o`00oooooooooooo
06Cooooo000Eooooo`;o00006?ooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[o
oooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo00Co
oooo0_l00?mWooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo
00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo
00?oo`00ooooooooool00oooool00ol00?ooooooooooo`1Wooooo`005Oooool00ol0003ooooooooo
o`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003ooooooooo
o`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool00_ooool00ol00?oooooooooo
o`1Xooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00
ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool00_l00?m[ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo
01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooool00?l0KOooool000;ooooo0_l00004ooooo`03o`000?oooooooooo00;o
oooo0ol00005ooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003o
ooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool08oooool00ooo003o
003oooooo`1]ooooo`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?oooooooooooooo
ool000001?ooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00oooo
ooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?o003oool0
0?ooool0K_ooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo
000000Cooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooo
oooo01[ooooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Qooooo`03o`00oooooooo
o`0006oooooo00001Ooooooo0000oooooooooooo000000Oooooo1?l00005ooooo`?o00005oooool0
0ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool0
0ooo003oooooooooo`0Oooooo`;o003o0_ooool00ooo003oooooooooo`1]ooooo`0000Goooooo`00
0?ooooooooooo`000007ooooo`03o`000?oooooooooo00Kooooo00?o0000ooooooooool05oooool0
0ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool0
0ooo003oooooooooo`0Nooooo`03o`00oooooooooooo00;ooooo00?oo`00ooooooooool0KOooool0
0005ooooool0003oooooooooool000002?ooool00ol0003oooooooooo`05ooooo`03o`000?oooooo
oooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooo
oooo01oooooo00?oo`00ooooooooool07Oooool00ol00?ooooooooooo`03ooooo`03ool00?oooooo
oooo06gooooo0002ooooo`;o00002_ooool2o`0000Gooooo00?o0000ooooooooool05oooool00ooo
003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo
003oooooooooo`0Kooooo`;o003o1_ooool00ooo003oooooooooo`1]ooooo`005Oooool00ol0003o
ooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003o
ooooooooo`0Oooooo`03ool00?oooooooooo01[ooooo00?o003oooooooooool01_ooool00ooo003o
ooooooooo`1]ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo
00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo01Sooooo
0_l00?l9ooooo`03ool00?oooooooooo06gooooo000Eooooo`03o`000?oooooooooo01Oooooo00?o
o`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?o
o`00ooooooooool05oooool00ol00?ooooooooooo`09ooooo`03ool00?oooooooooo06gooooo000E
ooooo`;o00006?ooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00
ooooooooool07oooool00ooo003oooooooooo`0Fooooo`03o`00oooooooooooo00[ooooo00?oo`00
ooooooooool0KOooool001Gooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Ioooo
o`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0Doooo
o`;o003o3Oooool00ooo003oooooooooo`1]ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03
ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03
ool00?oooooooooo01?ooooo00?o003oooooooooool03Oooool00ooo003oooooooooo`1]ooooo`00
5Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool0
6_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo017ooooo0_l00?l@ooooo`03ool0
0?oooooooooo06gooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Ooo
ool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00ooooooooool03ooo
ool2o`00oa;ooooo00?oo`00ooooooooool0KOooool001Gooooo00?o0000ooooooooool05oooool0
0ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool0
0ooo003oooooooooo`0>ooooo`03o`00oooooooooooo01;ooooo00?oo`00ooooooooool0KOooool0
01Gooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo
01[ooooo00?oo`00ooooooooool07oooool00ooo003oooooooooo`0<ooooo`;o003o5Oooool00ooo
003oooooooooo`1]ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wo
oooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`03ool00?oooooooooo00_o
oooo00?o003oooooooooool05Oooool00ooo003oooooooooo`1]ooooo`005Oooool2o`0001Sooooo
00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo
00?oo`00ooooooooool02Oooool2o`00oaSooooo00?oo`00ooooooooool0KOooool001Gooooo00?o
0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?o
o`00ooooooooool07ooooolWool006oooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00
ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00
ooooooooool01_ooool2o`00oh_ooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00oooo
ooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00oooo
ooooool01?ooool2o`00ohgooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00oooooooo
ool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00oooooooo
ool00oooool00ol00?ooooooooooo`2=ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool0
0?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0Oooooo`04ool0
0?ooooooooooooooo`;o003oT?ooool001Gooooo00?o0000ooooooooool05oooool00ooo003ooooo
ooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00ooooooooool07oooool01?oo003ooooo
ooooool00?nBooooo`005Oooool2o`0001Sooooo00?oo`00ooooooooool06Oooool00ooo003ooooo
ooooo`0Jooooo`03ool00?oooooooooo01oooooo00?oo`00o`00ool00?l0Toooool001Gooooo00?o
0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?o
o`00ooooooooool07_ooool00ol00?ooo`00ooooo`2Dooooo`005Oooool00ol0003oooooooooo`0G
ooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`0M
ooooo`03o`00ooooooooo`0009Gooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00oooo
ooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01_ooooo0_l00?l2oooo
o`03ool00?oooooooooo09?ooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00oooooooo
ool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo01Wooooo0_l00?l4ooooo`03
ool00?oooooooooo09?ooooo0002ooooo`;o00001?ooool00ol0003oooooooooo`02ooooo`?o0000
1Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool0
6_ooool00ooo003oooooooooo`0Hooooo`03o`00oooooooooooo00Cooooo00?oo`00ooooooooool0
Toooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo000000Co
oooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[o
oooo00?oo`00ooooooooool05_ooool2o`00o`Oooooo00?oo`00ooooooooool0Toooool00005oooo
ool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo000000Cooooo00?o0000oooo
ooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00oooo
ooooool05?ooool2o`00o`Wooooo00?oo`00ooooooooool0Toooool00005ooooool0003ooooooooo
ool000002?ooool3o`0000Gooooo0ol0000Gooooo`03ool00?oooooooooo01Wooooo00?oo`00oooo
ooooool06_ooool00ooo003oooooooooo`0Booooo`;o003o2oooool00ooo003oooooooooo`2Coooo
o`0000Goooooo`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool000001?ooool0
0ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool0
0ooo003oooooooooo`0Aooooo`03o`00oooooooooooo00_ooooo00?oo`00ooooooooool0Toooool0
0005ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo000000Cooooo00?o
0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo8ooo
002Eooooo`000_ooool2o`0000Wooooo0ol00005ooooo`03o`000?oooooooooo01Oooooo00?oo`00
ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo00gooooo0_l00?nV
ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00oooo
ooooool06_ooool00ooo003oooooooooo`0;ooooo`;o003oZ?ooool001Gooooo00?o0000oooooooo
ool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo01[ooooo00?oo`00oooooooo
ool02Oooool2o`00oj[ooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool0
6Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo00Kooooo0ol00?n/ooooo`005Ooo
ool2o`0001Sooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0Jooooo`03ool00?oo
oooooooo00Cooooo0_l00?n_ooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooo
oooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003oooooooooo`02ooooo`;o003o/Oooool0
01Gooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo
01[ooooo00?oo`00ooooooooool00_l00?ncooooo`005Oooool00ol0003oooooooooo`0Gooooo`03
ool00?oooooooooo01Wooooo00?oo`00ooooooooool06_ooool00ooo003o003oo`00o`2eooooo`00
5Oooool00ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool0
6Oooool00ol00?ooo`00ooooo`2fooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool00?oo
oooooooo01Wooooo00?oo`00ooooooooool05oooool2o`00o`03oooooooo003ooooo0;Kooooo000E
ooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003oooooooooo`0E
ooooo`;o003o0oooool00ooo003oooooooooo`2eooooo`005Oooool00ol0003oooooooooo`0Goooo
o`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool04oooool2o`00o`Gooooo00?oo`00oooo
ooooool0]Oooool001Gooooo0_l0000Hooooo`03ool00?oooooooooo01Wooooo00?oo`00oooooooo
ool04?ooool3o`00o`Oooooo00?oo`00ooooooooool0]Oooool001Gooooo00?o0000ooooooooool0
5oooool00ooo003oooooooooo`0Iooooo`03ool00?oooooooooo00gooooo0ol00?l:ooooo`03ool0
0?oooooooooo0;Gooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Ooo
ool00ooo003oooooooooo`0:ooooo`?o003o3Oooool00ooo003oooooooooo`2eooooo`005Oooool0
0ol0003oooooooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooooooool02?ooool2
o`00oa3ooooo00?oo`00ooooooooool0]Oooool001Gooooo00?o0000ooooooooool05oooool00ooo
003oooooooooo`0Iooooo`03ool00?oooooooooo00Gooooo0ol00?lBooooo`03ool00?oooooooooo
0;Gooooo000Eooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool06Oooool00ooo003o
ooooooooo`02ooooo`?o003o5Oooool00ooo003oooooooooo`2eooooo`005Oooool00ol0003ooooo
ooooo`0Gooooo`03ool00?oooooooooo01Wooooo00?oo`00ooooool00?l00_l00?lHooooo`03ool0
0?oooooooooo0;Gooooo000Eooooo`;o00006?ooool00ooo003oooooooooo`0Gooooo`;o003o00?o
o`00o`00ooooool06_ooool00ooo003oooooooooo`2eooooo`005Oooool00ol0003oooooooooo`0G
ooooo`03ool00?oooooooooo01Cooooo0ol00?l2ooooo`03ool00?oooooooooo01[ooooo00?oo`00
ooooooooool0]Oooool001Gooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`0Aoooo
o`?o003o1Oooool00ooo003oooooooooo`0Jooooo`03ool00?oooooooooo0;Gooooo000Eooooo`03
o`000?oooooooooo01Oooooo>_oo002gooooo`005Oooool00ol0003oooooooooo`0Gooooo`03ool0
0?oooooooooo00Oooooo1Ol00?oRooooo`003Oooool3o`0000Gooooo00?o0000ooooooooool05ooo
ool01?oo003oooooooooooooool6o`00onOooooo000>ooooo`03o`000?oooooooooo00Cooooo00?o
0000ooooooooool05_ooool00ol00?ooo`00o`00o`02o`00ongooooo000>ooooo`03o`000?oooooo
oooo00Cooooo00?o0000ooooooooool03?ooool:o`00o`03oooooooo003ooooo0>oooooo000>oooo
o`03o`000?oooooooooo00Cooooo3ol00?l;ooooo`03ool00?oooooooooo0>kooooo000>ooooo`03
o`000?oooooooooo00Cooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`3^ooooo`00
3Oooool2o`0000Kooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`3^ooooo`003_oo
ool00ol0003oooooooooo`04ooooo`03o`000?oooooooooo01Oooooo00?oo`00ooooooooool0k_oo
ool001Gooooo00?o0000ooooooooool05oooool00ooo003oooooooooo`3^ooooo`005Oooool00ol0
003oooooooooo`0Gooooo`03ool00?oooooooooo0>kooooo000Eooooo`03o`000?oooooooooo01Oo
oooo00?oo`00ooooooooool0k_ooool001Gooooo00?o0000ooooooooool05oooool00ooo003ooooo
ooooo`3^ooooo`005Oooool2o`0001Sooooo00?oo`00ooooooooool0k_ooool001Gooooo6ooo003`
ooooo`005Oooool00ol0003oooooooooo`3oooooo`Wooooo000Eooooo`03o`000?oooooooooo0?oo
oooo2Oooool001Gooooo00?o0000ooooooooool0ooooool9ooooo`005Oooool00ol0003ooooooooo
o`3oooooo`Wooooo0000\
\>"],
  ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.0825959, -0.0834996, \
0.00385924, 0.00662945}}],

Cell[BoxData[
    FormBox[
      TagBox[\(\[SkeletonIndicator]  Graphics  \[SkeletonIndicator]\),
        False,
        Editable->False], TraditionalForm]], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .61803 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.0238095 0.952381 0.0147151 0.554415 [
[.21429 .00222 -9 -9 ]
[.21429 .00222 9 0 ]
[.40476 .00222 -9 -9 ]
[.40476 .00222 9 0 ]
[.59524 .00222 -9 -9 ]
[.59524 .00222 9 0 ]
[.78571 .00222 -9 -9 ]
[.78571 .00222 9 0 ]
[.97619 .00222 -3 -9 ]
[.97619 .00222 3 0 ]
[.01131 .1256 -18 -4.5 ]
[.01131 .1256 0 4.5 ]
[.01131 .23648 -18 -4.5 ]
[.01131 .23648 0 4.5 ]
[.01131 .34736 -18 -4.5 ]
[.01131 .34736 0 4.5 ]
[.01131 .45825 -18 -4.5 ]
[.01131 .45825 0 4.5 ]
[.01131 .56913 -6 -4.5 ]
[.01131 .56913 0 4.5 ]
[ 0 0 0 0 ]
[ 1 .61803 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.21429 .01472 m
.21429 .02097 L
s
[(0.2)] .21429 .00222 0 1 Mshowa
.40476 .01472 m
.40476 .02097 L
s
[(0.4)] .40476 .00222 0 1 Mshowa
.59524 .01472 m
.59524 .02097 L
s
[(0.6)] .59524 .00222 0 1 Mshowa
.78571 .01472 m
.78571 .02097 L
s
[(0.8)] .78571 .00222 0 1 Mshowa
.97619 .01472 m
.97619 .02097 L
s
[(1)] .97619 .00222 0 1 Mshowa
.125 Mabswid
.07143 .01472 m
.07143 .01847 L
s
.11905 .01472 m
.11905 .01847 L
s
.16667 .01472 m
.16667 .01847 L
s
.2619 .01472 m
.2619 .01847 L
s
.30952 .01472 m
.30952 .01847 L
s
.35714 .01472 m
.35714 .01847 L
s
.45238 .01472 m
.45238 .01847 L
s
.5 .01472 m
.5 .01847 L
s
.54762 .01472 m
.54762 .01847 L
s
.64286 .01472 m
.64286 .01847 L
s
.69048 .01472 m
.69048 .01847 L
s
.7381 .01472 m
.7381 .01847 L
s
.83333 .01472 m
.83333 .01847 L
s
.88095 .01472 m
.88095 .01847 L
s
.92857 .01472 m
.92857 .01847 L
s
.25 Mabswid
0 .01472 m
1 .01472 L
s
.02381 .1256 m
.03006 .1256 L
s
[(0.2)] .01131 .1256 1 0 Mshowa
.02381 .23648 m
.03006 .23648 L
s
[(0.4)] .01131 .23648 1 0 Mshowa
.02381 .34736 m
.03006 .34736 L
s
[(0.6)] .01131 .34736 1 0 Mshowa
.02381 .45825 m
.03006 .45825 L
s
[(0.8)] .01131 .45825 1 0 Mshowa
.02381 .56913 m
.03006 .56913 L
s
[(1)] .01131 .56913 1 0 Mshowa
.125 Mabswid
.02381 .04244 m
.02756 .04244 L
s
.02381 .07016 m
.02756 .07016 L
s
.02381 .09788 m
.02756 .09788 L
s
.02381 .15332 m
.02756 .15332 L
s
.02381 .18104 m
.02756 .18104 L
s
.02381 .20876 m
.02756 .20876 L
s
.02381 .2642 m
.02756 .2642 L
s
.02381 .29192 m
.02756 .29192 L
s
.02381 .31964 m
.02756 .31964 L
s
.02381 .37508 m
.02756 .37508 L
s
.02381 .40281 m
.02756 .40281 L
s
.02381 .43053 m
.02756 .43053 L
s
.02381 .48597 m
.02756 .48597 L
s
.02381 .51369 m
.02756 .51369 L
s
.02381 .54141 m
.02756 .54141 L
s
.02381 .59685 m
.02756 .59685 L
s
.25 Mabswid
.02381 0 m
.02381 .61803 L
s
0 0 m
1 0 L
1 .61803 L
0 .61803 L
closepath
clip
newpath
0 0 1 r
.007 w
.02381 .56913 m
.02499 .56913 L
.02605 .56913 L
.02729 .56912 L
.02846 .56911 L
.03053 .5691 L
.03279 .56907 L
.03527 .56903 L
.0379 .56898 L
.04262 .56886 L
.04749 .56871 L
.05205 .56853 L
.06244 .568 L
.07305 .5673 L
.08274 .56651 L
.10458 .56422 L
.12357 .56164 L
.14429 .55822 L
.18493 .54967 L
.22406 .53916 L
.26565 .52561 L
.30571 .51027 L
.34426 .49348 L
.38527 .47349 L
.42475 .45226 L
.46273 .43009 L
.50315 .4047 L
.54206 .37863 L
.58342 .34927 L
.62326 .31952 L
.66159 .28965 L
.70238 .25667 L
.74164 .22388 L
.77939 .19153 L
.8196 .15632 L
.85828 .12185 L
.89942 .08472 L
.93905 .04866 L
.97619 .01472 L
s
1 0 0 r
.005 w
.97619 .01472 m
.97619 .16187 L
s
.02381 .60332 m
.11905 .60332 L
s
.11905 .01472 m
.11905 .60332 L
s
.11905 .54981 m
.22381 .54981 L
s
.22381 .01472 m
.22381 .54981 L
s
.22381 .54981 m
.32857 .54981 L
s
.32857 .01472 m
.32857 .54981 L
s
.32857 .46749 m
.45238 .46749 L
s
.45238 .01472 m
.45238 .46749 L
s
.45238 .40712 m
.59524 .40712 L
s
.59524 .01472 m
.59524 .40712 L
s
.59524 .16187 m
.97619 .16187 L
s
% End of Graphics
MathPictureEnd
\
\>"], "Subsection",
  ImageSize->{372.188, 230},
  ImageMargins->{{43, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40005d0000iR000`400?l00000o`00003ooooooome
ooooo`00oooooomeooooo`00Doooool2o`0000Cooooo00Co0000oooooooooooooooo1Ol0000eoooo
o`;o00001?ooool00ol0003oooooooooo`03ooooo`?o0000=Oooool2o`0000Cooooo00?o0000oooo
ooooool00_ooool3o`0003Kooooo0_l00004ooooo`03o`000?oooooooooo00;ooooo0ol0000koooo
o`?o00002Oooool005;ooooo00Co0000oooooooooooo00002?ooool01?l0003oooooooooool0000d
ooooo`04o`000?ooooooooooo`0000[ooooo00?o0000ooooooooool0<oooool01?l0003ooooooooo
ool00007ooooo`05o`000?ooooooooooooooool00000=?ooool01?l0003oooooooooool00007oooo
o`05o`000?ooooooooooooooool00000>oooool00ol0003oooooooooo`08ooooo`00D_ooool01?l0
003oooooooooool00009ooooo`03o`000?oooooooooo03Cooooo00Co0000oooooooooooo00001ooo
ool5o`0003Cooooo00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000003Co
oooo00Co0000oooooooooooo00001oooool01Ol0003ooooooooooooooooo000003_ooooo00?o0000
ooooooooool02?ooool005;ooooo00Co0000oooooooooooo00002_ooool00ol0003oooooooooo`0c
ooooo`04o`000?ooooooooooo`0000Oooooo00Co0000oooooooooooo0000=Oooool01?l0003ooooo
ooooool00007ooooo`Co0000=Oooool01?l0003oooooooooool00008ooooo`?o0000??ooool00ol0
003oooooooooo`08ooooo`00D_ooool01?l0003oooooooooool00007ooooo`05o`000?oooooooooo
ooooool00000=?ooool01?l0003oooooooooool00008ooooo`03o`000?oooooo000003Gooooo00Co
0000oooooooooooo00001oooool00ol0003oooooooooo`0fooooo`04o`000?ooooooooooo`0000Oo
oooo00Go0000ooooooooooooooooo`00000kooooo`03o`000?oooooooooo00Sooooo001Booooo`04
o`000?ooooooooooo`0000Oooooo00Go0000ooooooooooooooooo`00000dooooo`04o`000?oooooo
ooooo`0000Wooooo0_l0000eooooo`04o`000?ooooooooooo`0000Sooooo00?o0000ooooooooool0
=Oooool01?l0003oooooooooool00007ooooo`05o`000?ooooooooooooooool00000>_ooool2o`00
00[ooooo001Cooooo`;o00002Oooool3o`0003Kooooo0_l0000;ooooo`03o`000?oooooooooo03Co
oooo0_l0000:ooooo`;o0000=_ooool2o`0000Wooooo0ol0000looooo`03o`000?oooooooooo00So
oooo000Fooooo`03o`000?oooooooooo0?ooooooG?ooool001Kooooo00?o0000ooooooooool0oooo
oomLooooo`005_ooool00ol0003oooooooooo`3ooooooecooooo000Fooooo`03o`000?oooooooooo
0?ooooooG?ooool001Kooooo00?o0000ooooooooool0oooooomLooooo`003Oooool[o`000003ool0
0?l0003o000002;o000000?oo`00o`000?l000008ol000000ooo003o0000o`00000Yo`000003ool0
0?l0003o0000033o000000?oo`00o`000?l00000Pol00002o`00o`03ool00?l0003o000000Oo0000
000Fooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ooo003ooooooooo
o`0>ooooo`03o`000?oooooooooo00kooooo00Co0000ooooooooooooo`003Oooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00Cooooo00?oo`00ooooooooool01oooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?oo`00ooooooooool03_ooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?oo`00ooooooooool03_ooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ol0003ooooo
ooooo`0>ooooo`03o`000?oooooooooo00kooooo00?o0000ooooooooool03_ooool00ol0003ooooo
ooooo`0;ooooo`?o003o00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07ooo
ool00ooo003oooooooooo`0Oooooo`04o`000?ooooooooooool002Gooooo00?oo`00ooooooooool0
6?ooool00ol0003oooooooooo`0>ooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0
@Oooool00ol0003oooooooooo`0mooooo`?o003o00?oooooool00?ooool02?ooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo083ooooo0ol0
0?l2ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1oooooo`?o003o0oooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0O_ooool3o`00o`Cooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07gooooo0ol00?l5ooooo`03
ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`1looooo`?o003o1_ooool00ooo003oooooooooo`07ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0Nooo
ool3o`00o`Oooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool0
0ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07[ooooo0ol00?l8ooooo`03ool00?oooooo
oooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
07Wooooo0ol00?l9ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1hooooo`?o003o2_ooool00ooo003o
ooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0M_ooool4o`00o`_ooooo00?oo`00ooooooooool01oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07Gooooo1?l0
0?l<ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1dooooo`?o003o3_ooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0Loooool3o`00o`oooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo07;ooooo0ol00?l@ooooo`03
ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`1aooooo`?o003o4Oooool00ooo003oooooooooo`07ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0L?oo
ool3o`00oa;ooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool0
0ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06oooooo0ol00?lCooooo`03ool00?oooooo
oooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
06kooooo0ol00?lDooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1]ooooo`?o003o5Oooool00ooo003o
ooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0K?ooool3o`00oaKooooo00?oo`00ooooooooool01oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06_ooooo0ol0
0?lGooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1Zooooo`?o003o6?ooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0J?ooool4o`00oaWooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06Oooooo1?l00?lJooooo`03
ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`1Vooooo`?o003o7?ooool00ooo003oooooooooo`07ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0IOoo
ool3o`00oagooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool0
0ooo003oooooooooo`0`ooooo`03ool00?oooooooooo06Cooooo0ol00?lNooooo`03ool00?oooooo
oooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
06?ooooo0ol00?lOooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Qooooo`Co003o8?ooool00ooo003o
ooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0H?ooool4o`00ob7ooooo00?oo`00ooooooooool01oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05oooooo0ol0
0?lSooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`1Nooooo`?o003o9?ooool00ooo003oooooooooo`07
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool0GOooool3o`00obGooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05cooooo0ol00?lVooooo`03
ool00?oooooooooo00Oooooo0002ooooo`;o00001?ooool01?l0003oooooooooooooool5o`0000Go
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05_o
oooo0ol00?lWooooo`03ool00?oooooooooo00Oooooo00001Ooooooo0000oooooooooooo000000So
oooo00Co0000oooooooooooo00001Oooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool0FOooool4o`00obSooooo00?oo`00ooooooooool01oooool00005
ooooool0003oooooooooool000002Oooool00ol0003oooooooooo`05ooooo`03o`000?oooooooooo
01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo
02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Hooooo`Co003o:Oooool00ooo
003oooooooooo`07ooooo`0000Goooooo`000?ooooooooooo`00000:ooooo`03o`000?oooooooooo
00Cooooo0ol0000Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo
003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0Eoooool3o`00
ob_ooooo00?oo`00ooooooooool01oooool00005ooooool0003oooooooooool000001oooool01Ol0
003ooooooooooooooooo000000Gooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0R
ooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`
ooooo`03ool00?oooooooooo05Kooooo0ol00?l/ooooo`03ool00?oooooooooo00Oooooo00001Ooo
oooo0000oooooooooooo000000Oooooo00Go0000ooooooooooooooooo`000005ooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oo
oooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Eooooo`?o003o;Ooo
ool00ooo003oooooooooo`07ooooo`000_ooool2o`0000Wooooo0ol00006ooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Dooooo`?o003o;_ooool0
0ooo003oooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool0Doooool3o`00oboooooo00?oo`00ooooooooool01oooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo05;o
oooo0ol00?l`ooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo
00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1Aooooo`?o003o<Oooool00ooo003ooooo
ooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool0D?ooool3o`00oc;ooooo00?oo`00ooooooooool01oooool001Kooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo04oooooo0ol00?lc
ooooo`03ool00?oooooooooo00Oooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Roooo
o`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`oooo
o`03ool00?oooooooooo04kooooo0ol00?ldooooo`03ool00?oooooooooo00Oooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`1=ooooo`?o
003o=Oooool00ooo003oooooooooo`07ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo033ooooo00?oo`00ooooooooool0Boooool4o`00ocKooooo00?oo`00ooooooooool0
1oooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oo
oooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oo
oooooooo04[ooooo1?l00?lgooooo`03ool00?oooooooooo00Oooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?oooon9ool000Wooooo000Fooooo`03o`000?oooooooooo
01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo
02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`18ooooo`?o003oA?ooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo04Oo
oooo0ol00?m5ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0A_ooool3o`00odKooooo000Fooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`14ooooo`Co003oAoooool001Kooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo04?ooooo1?l00?m8
ooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Soooo
o`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`12oooo
o`?o003oB_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03
ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03
ool00?oooooooooo047ooooo0ol00?m;ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo033ooooo00?oo`00ooooooooool0@?ooool3o`00odcooooo000Fooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oo
oooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0oooooo`?o003oCOoo
ool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooo
oooo03gooooo1?l00?m>ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool0??ooool4o`00odoooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0kooooo`?o003oDOooool001Kooooo
00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo
00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo03[ooooo
0ol00?mBooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool0>Oooool3o`00oe?ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`0hooooo`?o003oE?ooool001Kooooo0_l0000Poooo
o`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yoooo
o`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0=_ooool4o`00oeGooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0eooooo`Co
003oE_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool0
0?oooooooooo03Cooooo0ol00?mHooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oo
oooooooo033ooooo00?oo`00ooooooooool0<oooool3o`00oeWooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0booooo`?o003oF_ooool0
01Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
037ooooo0ol00?mKooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;o
oooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033o
oooo00?oo`00ooooooooool0;oooool4o`00oecooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo
00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0^ooooo`Co003oGOooool000;ooooo0_l0
0004ooooo`03o`000?oooooooooo00?ooooo0ol00005ooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`0]ooooo`?o003oGoooool00005ooooool0003o
ooooooooool000002_ooool00ol0003oooooooooo`04ooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`0/ooooo`?o003oH?ooool00005ooooool0003o
ooooooooool000001oooool5o`0000Gooooo0ol0000Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool0:_ooool4o`00of7ooooo00001Ooooooo0000oooooooooooo000000Oooooo00Co
0000oooooooooooo00001_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0:Oooool4o`00of;ooooo00001Ooooooo0000oooooooooooo000000Sooooo
00?o0000ooooool000001_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool0:?ooool3o`00ofCooooo00001Ooooooo0000oooooooooooo000000Wooooo
0_l00006ooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooo
ooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003ooooo
ooooo`0Vooooo`Co003oIOooool000;ooooo0_l0000;ooooo`03o`000?oooooooooo00Cooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?o
o`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo02Gooooo1?l0
0?mVooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00
ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00
ooooooooool09?ooool3o`00ofSooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00oooo
ooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00oooo
ooooool0<?ooool00ooo003oooooooooo`0Sooooo`?o003oJOooool001Kooooo00?o0000oooooooo
ool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooooooo
ool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo027ooooo1?l00?mZooooo`00
5_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool0
8oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool0
8?ooool4o`00of_ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_oo
ool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?oo
ool00ooo003oooooooooo`0Oooooo`?o003oKOooool001Kooooo0_l0000Pooooo`03ool00?oooooo
oooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooo
oooo033ooooo00?oo`00ooooooooool07_ooool3o`00ofkooooo000Fooooo`03o`000?oooooooooo
01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo
02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0Mooooo`?o003oKoooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo01co
oooo0ol00?m`ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo
00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo
00?oo`00ooooooooool06_ooool4o`00og7ooooo000Fooooo`03o`000?oooooooooo01oooooo00?o
o`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?o
o`00ooooooooool0<?ooool00ooo003oooooooooo`0Iooooo`Co003oL_ooool001Kooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo01Sooooo0ol00?md
ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooo
ooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooo
ooooool05oooool3o`00ogGooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00oooooooo
ool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00oooooooo
ool0<?ooool00ooo003oooooooooo`0Fooooo`?o003oM_ooool001Kooooo00?o0000ooooooooool0
7oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0
:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo01Gooooo0ol00?mgooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00ooooooooool04ooo
ool4o`00ogSooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooo
oooo01;ooooo1?l00?miooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo
033ooooo00?oo`00ooooooooool04Oooool3o`00og_ooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wo
oooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`0@ooooo`?o003oO?ooool001Kooooo
00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo
00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo00kooooo
1?l00?mmooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?o
o`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?o
o`00ooooooooool03Oooool4o`00ogkooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00
ooooooooool0<?ooool00ooo003oooooooooo`0<ooooo`?o003oP?ooool001Kooooo00?o0000oooo
ooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooo
ooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo00[ooooo1?l00?n1oooo
o`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00oooooooo
ool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033ooooo00?oo`00oooooooo
ool02Oooool4o`00oh;ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool0
8_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0
<?ooool00ooo003oooooooooo`08ooooo`?o003oQ?ooool001Kooooo00?o0000ooooooooool07ooo
ool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Ooo
ool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo00Oooooo0ol00?n5ooooo`005_ooool2
o`00023ooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`05ooooo`Co003oQ_ooool0
01Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0`ooooo`03ool00?oooooooooo
00Cooooo1?l00?n7ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;o
oooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oooooooooo033o
oooo00?oo`00ooooooooool00_ooool4o`00ohWooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo
00?oo`00ooooooooool0<?ooool01?oo003oooooooooooooool4o`00oh[ooooo000Fooooo`03o`00
0?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool0
0?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003oooooooooo`03o`00ohcooooo
000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooooooo
o`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool00ooo003o003oo`00
o`02o`00ohgooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool0
0ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool0<?ooool0
1?oo003o003oo`00ool00?n>ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3
o`0000Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0^ooooo`;o003o00?oo`00
o`00ooooool0Soooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooo
oooo000000Gooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oo
oooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0]ooooo`?o003o00?o
o`00ooooooooool0Soooool00005ooooool0003oooooooooool000001oooool01Ol0003ooooooooo
oooooooo000000Gooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0/ooooo`?o003o
00?oooooool00?ooool0T?ooool00005ooooool0003oooooooooool000001oooool4o`0000Kooooo
0ol0000Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo02[ooooo1?l00?l2ooooo`03ool00?oooooooooo08oooooo
00001Ooooooo0000oooooooooooo000000Oooooo00?o0000ooooooooool01oooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo02Wooooo1?l00?l3ooooo`03ool00?oooooooooo08oooooo
00001Ooooooo0000oooooooooooo000000Sooooo00?o0000ooooooooool01_ooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo02Sooooo0ol00?l5ooooo`03ool00?oooooooooo08oooooo
0002ooooo`;o00002_ooool2o`0000Kooooo00?o0000ooooooooool07oooool00ooo003ooooooooo
o`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003ooooooooo
o`0Vooooo`Co003o1_ooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Y
ooooo`03ool00?oooooooooo02Gooooo1?l00?l7ooooo`03ool00?oooooooooo08oooooo000Foooo
o`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Soooo
o`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool08oooool4o`00o`Wooooo00?oo`00oooo
ooooool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03
ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0Rooooo`Co
003o2_ooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo027ooooo0ol00?l<ooooo`03ool00?oooooooooo08oooooo000Fooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oo
oooooooo02Wooooo00?oo`00ooooooooool07oooool4o`00o`gooooo00?oo`00ooooooooool0Sooo
ool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0Nooooo`Co003o3_ooool0
0ooo003oooooooooo`2?ooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool08_ooool00ooo
003oooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool07Oooool3o`00
oa3ooooo00?oo`00ooooooooool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003o
ooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003o
ooooooooo`0Kooooo`Co003o4Oooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo01[ooooo1?l00?lBooooo`03ool00?oooooooooo08oooooo
000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooooooo
o`0Sooooo`03ool00?oooooooooo02Wooooo00?oo`00ooooooooool06?ooool4o`00oaCooooo00?o
o`00ooooooooool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0R
ooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0G
ooooo`Co003o5Oooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0Ooooo
o`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yoooo
o`03ool00?oooooooooo01Gooooo1?l00?lGooooo`03ool00?oooooooooo08oooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo02Wooooo00?oo`00ooooooooool04oooool5o`00oaSooooo00?oo`00oooooooo
ool0Soooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooooooo`0Booooo`Co003o
6_ooool00ooo003oooooooooo`2?ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool00?oo
oooooooo013ooooo1?l00?lLooooo`03ool00?oooooooooo08oooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo02Wooooo00?oo`00ooooooooool03oooool4o`00oagooooo00?oo`00ooooooooool0Soooool0
01Kooooo0_l0000Pooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo
003oooooooooo`0Yooooo`03ool00?oooooooooo00gooooo1?l00?lOooooo`03ool00?oooooooooo
08oooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003o
ooooooooo`0Sooooo`03ool00?oooooooooo02Wooooo=?oo002Aooooo`005_ooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Yooooo`03ool00?oooooooooo00[ooooo1?l00?ndooooo`005_ooool00ol0003ooooooooo
o`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooooooo
o`0Yooooo`03ool00?oooooooooo00Wooooo1?l00?neooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Y
ooooo`03ool00?oooooooooo00Oooooo1?l00?ngooooo`005_ooool00ol0003oooooooooo`0Ooooo
o`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yoooo
o`03ool00?oooooooooo00Gooooo1Ol00?nhooooo`005_ooool00ol0003oooooooooo`0Oooooo`03
ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03
ool00?oooooooooo00Cooooo1?l00?njooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`03ool0
0?oooooooooo00;ooooo1?l00?nlooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Yooooo`04ool00?oo
ooooooooooooo`Co003o_Oooool001Kooooo00?o0000ooooooooool07oooool00ooo003ooooooooo
o`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003oooooo`00
o`03o`00okoooooo000Fooooo`;o00008?ooool00ooo003oooooooooo`0Rooooo`03ool00?oooooo
oooo02?ooooo00?oo`00ooooooooool0:Oooool00ooo003o003oo`00o`02o`00ol3ooooo000Foooo
o`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Soooo
o`03ool00?oooooooooo02Sooooo00Co003oool00?l00?oo003o`_ooool001Kooooo00?o0000oooo
ooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00oooo
ooooool09_ooool3o`00o`03ool00?oooooooooo0<;ooooo000Fooooo`03o`000?oooooooooo01oo
oooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo02Co
oooo1Ol00?l00ooo003oooooooooo`32ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool0
0?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Rooooo`Go003o
0_ooool00ooo003oooooooooo`32ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Qooooo`Co003o1?oo
ool00ooo003oooooooooo`32ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooo
oooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Oooooo`Co003o1_ooool0
0ooo003oooooooooo`32ooooo`000_ooool2o`0000Cooooo00?o0000ooooooooool00_ooool3o`00
00Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
02?ooooo00?oo`00ooooooooool07Oooool5o`00o`Oooooo00?oo`00ooooooooool0`_ooool00005
ooooool0003oooooooooool000001oooool01Ol0003ooooooooooooooooo000000Gooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00
ooooooooool06oooool5o`00o`Wooooo00?oo`00ooooooooool0`_ooool00005ooooool0003ooooo
ooooool000001oooool01Ol0003ooooooooooooooooo000000Gooooo0ol0000Oooooo`03ool00?oo
oooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Jooooo`Co003o2ooo
ool00ooo003oooooooooo`32ooooo`0000Goooooo`000?ooooooooooo`000008ooooo`?o00001_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08ooo
ool00ooo003oooooooooo`0Hooooo`Co003o3Oooool00ooo003oooooooooo`32ooooo`0000Gooooo
o`000?ooooooooooo`000007ooooo`05o`000?ooooooooooooooool000001Oooool00ol0003ooooo
ooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003ooooo
ooooo`0Fooooo`Go003o3_ooool00ooo003oooooooooo`32ooooo`0000Goooooo`000?oooooooooo
o`000007ooooo`05o`000?ooooooooooooooool000001Oooool00ol0003oooooooooo`0Oooooo`03
ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0Dooooo`Go
003o4?ooool00ooo003oooooooooo`32ooooo`000_ooool2o`0000Wooooo0ol00006ooooo`03o`00
0?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooobgoo`00
a?ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oo
oooooooo02?ooooo00?oo`00ooooooooool04Oooool4o`00omWooooo000Fooooo`03o`000?oooooo
oooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo00oooooo1Ol00?oJooooo`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo
02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`0=ooooo`Go003og?ooool001Ko
oooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo02?o
oooo00?oo`00ooooooooool02oooool5o`00omkooooo000Fooooo`03o`000?oooooooooo01oooooo
00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooooooo00Sooooo
1_l00?oPooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool08_ooool00ooo003ooooooooo
o`0Sooooo`03ool00?oooooooooo00Kooooo1_l00?oRooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08oooool00ooo003oooooooooo`04
ooooo`Go003oiOooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Roooo
o`03ool00?oooooooooo02?ooooo00?oo`00ooooooooool00_ooool5o`00onOooooo000Fooooo`03
o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`0Sooooo`03
ool00?oooooooooo00Go003ojOooool001Kooooo00?o0000ooooooooool07oooool00ooo003ooooo
ooooo`0Rooooo`03ool00?oooooooooo02?ooooo00?oo`00o`00ool00?l00ol00?o[ooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool08_oo
ool00ol00?ooo`00o`00o`02o`00ongooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00
ooooooooool08_ooool00ooo003oooooooooo`0Oooooo`Co003o00?oo`00o`00ooooool0k_ooool0
01Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo
01gooooo1_l00?l00ooo003oooooooooo`3^ooooo`005_ooool00ol0003oooooooooo`0Oooooo`03
ool00?oooooooooo02;ooooo00?oo`00ooooooooool06oooool5o`00o`?ooooo00?oo`00oooooooo
ool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0Rooooo`03ool0
0?oooooooooo01Wooooo1Ol00?l5ooooo`03ool00?oooooooooo0>kooooo000Fooooo`;o00008?oo
ool00ooo003oooooooooo`0Rooooo`03ool00?oooooooooo01Kooooo1_l00?l7ooooo`03ool00?oo
oooooooo0>kooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool0
0ooo003oooooooooo`0Cooooo`Oo003o2Oooool00ooo003oooooooooo`3^ooooo`005_ooool00ol0
003oooooooooo`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool04?ooool7o`00
o`cooooo00?oo`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003o
ooooooooo`0Rooooo`03ool00?oooooooooo00gooooo1ol00?l?ooooo`03ool00?oooooooooo0>ko
oooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool00ooo003ooooo
ooooo`0:ooooo`Oo003o4_ooool00ooo003oooooooooo`3^ooooo`005_ooool00ol0003ooooooooo
o`0Oooooo`03ool00?oooooooooo02;ooooo00?oo`00ooooooooool01oooool7o`00oaGooooo00?o
o`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo003oooooooooo`0R
ooooo`03ool00?oooooooooo00Cooooo1ol00?lHooooo`03ool00?oooooooooo0>kooooo000Foooo
o`03o`000?oooooooooo01oooooo00?oo`00ooooooooool08_ooool01?oo003oooooooooooooool7
o`00oa_ooooo00?oo`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool00ooo
003oooooooooo`0Rooooo`03ool00?l00?oo003o00Go003o7_ooool00ooo003oooooooooo`3^oooo
o`005_ooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo023ooooo0_l00?l00ooo003o
003oo`00o`02o`00ob7ooooo00?oo`00ooooooooool0k_ooool001Kooooo0_l0000Pooooo`03ool0
0?oooooooooo01gooooo1Ol00?l00ooo003o003oooooo`0Sooooo`03ool00?oooooooooo0>kooooo
000Fooooo`03o`000?oooooooooo01oooooo00?oo`00ooooooooool06Oooool8o`00o`03oooooooo
003ooooo02Cooooo00?oo`00ooooooooool0k_ooool001Kooooo00?o0000ooooooooool07oooool0
0ooo003oooooooooo`0Fooooo`So003o1?ooool00ooo003oooooooooo`0Sooooo`03ool00?oooooo
oooo0>kooooo000Fooooo`03o`000?oooooooooo01ooooooC?oo003`ooooo`005_ooool00ol0003o
ooooooooo`0Oooooo`03ool00?oooooooooo00gooooo2_l00?ooooooob?ooooo000Fooooo`03o`00
0?oooooooooo01oooooo00?oo`00ooooooooool02?ooool;o`00oooooooo9oooool001Kooooo00?o
0000ooooooooool07oooool00ooo003oooooooooo`02ooooo`co003oooooool/ooooo`005_ooool0
0ol0003oooooooooo`0Mooooo`;o003o00?oo`00o`00ool00?l02Ol00?oooooooc7ooooo000=oooo
o`?o00001_ooool00ol0003oooooooooo`0Eooooo`[o003o00?oo`00o`00ool00?l00ol00?oooooo
ocOooooo000>ooooo`03o`000?oooooooooo00Gooooo00?o0000ooooooooool03?oooolBo`00o`03
oooooooo003ooooo0?oooooo>oooool000kooooo00?o0000ooooooooool01?oooolJo`00o`Wooooo
00?oo`00ooooooooool0ooooooljooooo`003_ooool00ol0003oooooooooo`04oooooa7o003o4_oo
ool00ooo003oooooooooo`3ooooooc[ooooo000>ooooo`03o`000?oooooooooo00Gooooo00?o0000
ooooooooool07oooool00ooo003oooooooooo`3ooooooc[ooooo000=ooooo`;o00001oooool00ol0
003oooooooooo`0Oooooo`03ool00?oooooooooo0?oooooo>_ooool000kooooo00?o0000oooooooo
ool01Oooool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo0?oooooo>_ooool001Kooooo
00?o0000ooooooooool07oooool00ooo003oooooooooo`3ooooooc[ooooo000Fooooo`03o`000?oo
oooooooo01oooooo00?oo`00ooooooooool0ooooooljooooo`005_ooool00ol0003oooooooooo`0O
ooooo`03ool00?oooooooooo0?oooooo>_ooool001Kooooo00?o0000ooooooooool07oooool00ooo
003oooooooooo`3ooooooc[ooooo000Fooooo`03o`000?oooooooooo01oooooo00?oo`00oooooooo
ool0ooooooljooooo`005_ooool2o`00023ooooo00?oo`00ooooooooool0ooooooljooooo`005_oo
ool00ol0003oooooooooo`0Oooooo`03ool00?oooooooooo0?oooooo>_ooool001Kooooo8ooo003o
oooooccooooo000Fooooo`03o`000?oooooooooo0?ooooooG?ooool001Kooooo00?o0000oooooooo
ool0oooooomLooooo`005_ooool00ol0003oooooooooo`3ooooooecooooo000Fooooo`03o`000?oo
oooooooo0?ooooooG?ooool001Kooooo00?o0000ooooooooool0oooooomLooooo`00\
\>"],
  ImageRangeCache->{{{0, 371.188}, {229, 0}} -> {-0.0660376, -0.0680253, \
0.00293933, 0.00504922}}],

Cell[BoxData[
    \(f\)], "Input"]
}, Open  ]]
}, Open  ]]
}, Open  ]]
},
FrontEndVersion->"4.1 for Macintosh",
ScreenRectangle->{{0, 1280}, {0, 832}},
WindowSize->{850, 673},
WindowMargins->{{Automatic, 172}, {Automatic, 12}}
]

(*******************************************************************
Cached data follows.  If you edit this Notebook file directly, not
using Mathematica, you must remove the line containing CacheID at
the top of  the file.  The cache data will then be recreated when
you save this file from within Mathematica.
*******************************************************************)

(*CellTagsOutline
CellTagsIndex->{}
*)

(*CellTagsIndex
CellTagsIndex->{}
*)

(*NotebookFileOutline
Notebook[{

Cell[CellGroupData[{
Cell[1727, 52, 100, 2, 108, "Title"],
Cell[1830, 56, 152, 4, 38, "Text"],

Cell[CellGroupData[{
Cell[2007, 64, 141, 2, 56, "Section"],

Cell[CellGroupData[{
Cell[2173, 70, 225, 5, 59, "Input"],
Cell[2401, 77, 17834, 444, 186, 3908, 268, "GraphicsData", "PostScript", \
"Graphics"]
}, Open  ]],
Cell[20250, 524, 699, 12, 219, "Input"],

Cell[CellGroupData[{
Cell[20974, 540, 541, 10, 123, "Input"],
Cell[21518, 552, 234, 5, 22, "Print"],
Cell[21755, 559, 422, 9, 22, "Print"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{
Cell[22226, 574, 111, 2, 36, "Section"],

Cell[CellGroupData[{
Cell[22362, 580, 300, 6, 75, "Input"],
Cell[22665, 588, 30577, 613, 367, 4098, 282, "GraphicsData", "PostScript", \
"Graphics"],
Cell[53245, 1203, 167, 4, 26, "Output"]
}, Open  ]],
Cell[53427, 1210, 227, 7, 114, "Text"],

Cell[CellGroupData[{
Cell[53679, 1221, 372, 7, 107, "Input"],
Cell[54054, 1230, 264, 4, 61, "Output"],
Cell[54321, 1236, 254, 4, 61, "Output"],
Cell[54578, 1242, 52, 1, 26, "Output"],
Cell[54633, 1245, 55, 1, 43, "Output"]
}, Closed]],
Cell[54703, 1249, 93, 1, 31, "Text"],
Cell[54799, 1252, 74, 1, 27, "Input"],
Cell[54876, 1255, 683, 12, 203, "Input"],

Cell[CellGroupData[{
Cell[55584, 1271, 199, 3, 43, "Input"],
Cell[55786, 1276, 426, 9, 22, "Print"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{
Cell[56261, 1291, 103, 1, 36, "Section"],

Cell[CellGroupData[{
Cell[56389, 1296, 443, 9, 91, "Input"],
Cell[56835, 1307, 31650, 618, 296, 3911, 271, "GraphicsData", "PostScript", \
"Graphics"],
Cell[88488, 1927, 167, 4, 26, "Output"]
}, Open  ]],
Cell[88670, 1934, 308, 7, 59, "Input"],

Cell[CellGroupData[{
Cell[89003, 1945, 1244, 23, 267, "Input"],
Cell[90250, 1970, 44121, 782, 238, 3953, 282, "GraphicsData", "PostScript", \
"Graphics"],
Cell[134374, 2754, 167, 4, 26, "Output"]
}, Open  ]],
Cell[134556, 2761, 1083, 19, 315, "Input"],

Cell[CellGroupData[{
Cell[135664, 2784, 562, 10, 123, "Input"],
Cell[136229, 2796, 234, 5, 22, "Print"],
Cell[136466, 2803, 90, 1, 26, "Output"],
Cell[136559, 2806, 470, 9, 22, "Print"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{
Cell[137078, 2821, 99, 1, 36, "Section"],

Cell[CellGroupData[{
Cell[137202, 2826, 222, 5, 59, "Input"],
Cell[137427, 2833, 37005, 692, 350, 4123, 282, "GraphicsData", "PostScript", \
"Graphics"],
Cell[174435, 3527, 167, 4, 28, "Output"]
}, Open  ]],
Cell[174617, 3534, 1238, 21, 347, "Input"],

Cell[CellGroupData[{
Cell[175880, 3559, 569, 10, 139, "Input"],
Cell[176452, 3571, 234, 5, 24, "Print"],
Cell[176689, 3578, 468, 9, 24, "Print"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{
Cell[177206, 3593, 71, 0, 36, "Section"],
Cell[177280, 3595, 61, 1, 27, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[177378, 3601, 35, 0, 36, "Section"],

Cell[CellGroupData[{
Cell[177438, 3605, 75, 0, 42, "Subsubsection"],
Cell[177516, 3607, 292, 6, 59, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[177845, 3618, 123, 3, 28, "Subsubsection"],
Cell[177971, 3623, 637, 10, 123, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[178645, 3638, 194, 4, 44, "Subsubsection"],
Cell[178842, 3644, 1007, 17, 219, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[179886, 3666, 190, 4, 44, "Subsubsection"],
Cell[180079, 3672, 882, 15, 155, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[180998, 3692, 211, 4, 44, "Subsubsection"],

Cell[CellGroupData[{
Cell[181234, 3700, 553, 9, 123, "Input"],
Cell[181790, 3711, 298, 6, 70, "Message"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{
Cell[182137, 3723, 101, 3, 28, "Subsubsection"],
Cell[182241, 3728, 141, 3, 27, "Input"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{
Cell[182431, 3737, 32, 0, 36, "Section"],
Cell[182466, 3739, 159, 4, 30, "Text"],

Cell[CellGroupData[{
Cell[182650, 3747, 93, 1, 27, "Input"],
Cell[182746, 3750, 123, 2, 70, "Output"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{
Cell[182918, 3758, 29, 0, 36, "Section"],

Cell[CellGroupData[{
Cell[182972, 3762, 634, 17, 218, "Subsubsection"],
Cell[183609, 3781, 3559, 62, 1099, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[187205, 3848, 845, 14, 245, "Subsubsection"],

Cell[CellGroupData[{
Cell[188075, 3866, 2745, 47, 907, "Input"],
Cell[190823, 3915, 290, 5, 70, "Message"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{
Cell[191162, 3926, 568, 12, 76, "Subsubsection"],
Cell[191733, 3940, 2601, 44, 690, "Input"]
}, Open  ]],

Cell[CellGroupData[{
Cell[194371, 3989, 55, 0, 46, "Subsection"],
Cell[194429, 3991, 484, 10, 139, "Input"]
}, Open  ]],

Cell[CellGroupData[{
Cell[194950, 4006, 45, 0, 46, "Subsection"],
Cell[194998, 4008, 140, 3, 30, "Text"],

Cell[CellGroupData[{
Cell[195163, 4015, 230, 4, 43, "Input"],
Cell[195396, 4021, 150, 2, 52, "Print"],
Cell[195549, 4025, 221, 4, 21, "Message"],
Cell[195773, 4031, 256, 6, 26, "Output"]
}, Open  ]],
Cell[196044, 4040, 230, 4, 43, "Input"],
Cell[196277, 4046, 233, 4, 43, "Input"],

Cell[CellGroupData[{
Cell[196535, 4054, 275, 5, 43, "Input"],
Cell[196813, 4061, 30635, 762, 301, 6048, 454, "GraphicsData", "PostScript", \
"Graphics"],
Cell[227451, 4825, 167, 4, 26, "Output"]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{
Cell[227679, 4836, 50, 0, 56, "Section"],

Cell[CellGroupData[{
Cell[227754, 4840, 35, 0, 42, "Subsubsection"],
Cell[227792, 4842, 400, 7, 123, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[228229, 4854, 255, 5, 44, "Subsubsection"],
Cell[228487, 4861, 1229, 20, 381, "Input"]
}, Open  ]],

Cell[CellGroupData[{
Cell[229753, 4886, 342, 12, 170, "Subsubsection"],
Cell[230098, 4900, 1803, 31, 635, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[231938, 4936, 292, 8, 44, "Subsubsection"],
Cell[232233, 4946, 397, 7, 123, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[232667, 4958, 49, 0, 30, "Subsection"],

Cell[CellGroupData[{
Cell[232741, 4962, 117, 2, 27, "Input"],
Cell[232861, 4966, 148, 2, 52, "Print"],
Cell[233012, 4970, 157, 2, 52, "Print"],
Cell[233172, 4974, 192, 4, 21, "Message"],
Cell[233367, 4980, 280, 7, 26, "Output"]
}, Open  ]]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{
Cell[233708, 4994, 109, 3, 36, "Section"],

Cell[CellGroupData[{
Cell[233842, 5001, 35, 0, 42, "Subsubsection"],

Cell[CellGroupData[{
Cell[233902, 5005, 915, 17, 267, "Input"],
Cell[234820, 5024, 70, 1, 26, "Output"]
}, Open  ]],
Cell[234905, 5028, 26, 0, 27, "Input"]
}, Open  ]],

Cell[CellGroupData[{
Cell[234968, 5033, 291, 5, 58, "Subsubsection"],

Cell[CellGroupData[{
Cell[235284, 5042, 3471, 57, 1109, "Input"],
Cell[238758, 5101, 286, 5, 21, "Message"],
Cell[239047, 5108, 288, 5, 21, "Message"],
Cell[239338, 5115, 290, 5, 21, "Message"],
Cell[239631, 5122, 284, 5, 21, "Message"],
Cell[239918, 5129, 246, 4, 21, "Message"]
}, Open  ]],
Cell[240179, 5136, 57, 0, 30, "Text"],

Cell[CellGroupData[{
Cell[240261, 5140, 1134, 19, 203, "Input"],
Cell[241398, 5161, 62, 1, 26, "Output"],
Cell[241463, 5164, 69, 1, 26, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[241569, 5170, 51, 1, 27, "Input"],
Cell[241623, 5173, 73, 1, 29, "Output"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{
Cell[241745, 5180, 634, 17, 218, "Subsubsection"],
Cell[242382, 5199, 3559, 62, 1099, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[245978, 5266, 342, 12, 156, "Subsubsection"],
Cell[246323, 5280, 1803, 31, 619, "Input"]
}, Closed]],

Cell[CellGroupData[{
Cell[248163, 5316, 265, 8, 28, "Subsubsection"],
Cell[248431, 5326, 2093, 36, 603, "Input"]
}, Open  ]],

Cell[CellGroupData[{
Cell[250561, 5367, 49, 0, 46, "Subsection"],

Cell[CellGroupData[{
Cell[250635, 5371, 551, 10, 139, "Input"],
Cell[251189, 5383, 150, 2, 52, "Print"],
Cell[251342, 5387, 157, 2, 52, "Print"],
Cell[251502, 5391, 156, 2, 52, "Print"],
Cell[251661, 5395, 156, 2, 52, "Print"],
Cell[251820, 5399, 156, 2, 52, "Print"],
Cell[251979, 5403, 222, 4, 21, "Message"],
Cell[252204, 5409, 58, 1, 26, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[252299, 5415, 84, 2, 43, "Input"],
Cell[252386, 5419, 71, 1, 26, "Output"]
}, Open  ]],
Cell[252472, 5423, 26, 0, 27, "Input"],
Cell[252501, 5425, 46, 1, 27, "Input"],

Cell[CellGroupData[{
Cell[252572, 5430, 471, 8, 123, "Input"],
Cell[253046, 5440, 118, 2, 26, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[253201, 5447, 70, 1, 43, "Input"],
Cell[253274, 5450, 512, 8, 41, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[253823, 5463, 121, 3, 27, "Input"],
Cell[253947, 5468, 1262, 25, 349, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[255246, 5498, 48, 1, 27, "Input"],
Cell[255297, 5501, 14918, 366, 186, 3240, 217, "GraphicsData", "PostScript", \
"Graphics"],
Cell[270218, 5869, 167, 4, 26, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[270422, 5878, 60, 1, 27, "Input"],
Cell[270485, 5881, 129, 2, 26, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[270651, 5888, 81, 1, 43, "Input"],
Cell[270735, 5891, 132, 2, 26, "Output"]
}, Open  ]],
Cell[270882, 5896, 26, 0, 27, "Input"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{
Cell[270957, 5902, 99, 3, 56, "Section"],
Cell[271059, 5907, 306, 7, 59, "Input"],
Cell[271368, 5916, 958, 18, 235, "Input"],

Cell[CellGroupData[{
Cell[272351, 5938, 44123, 782, 258, 3955, 282, "GraphicsData", "PostScript", \
"Subsection"],
Cell[316477, 6722, 34, 1, 27, "Input"]
}, Open  ]]
}, Closed]],

Cell[CellGroupData[{
Cell[316560, 6729, 99, 3, 36, "Section"],

Cell[CellGroupData[{
Cell[316684, 6736, 1270, 24, 299, "Input"],

Cell[CellGroupData[{
Cell[317979, 6764, 17417, 417, 186, 3495, 241, "GraphicsData", "PostScript", \
"Graphics"],
Cell[335399, 7183, 36597, 689, 238, 3934, 281, "GraphicsData", "PostScript", \
"Graphics"]
}, Open  ]],
Cell[372011, 7875, 167, 4, 26, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[372215, 7884, 958, 18, 235, "Input"],
Cell[373176, 7904, 36378, 687, 186, 3953, 282, "GraphicsData", "PostScript", \
"Graphics"],
Cell[409557, 8593, 167, 4, 26, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[409761, 8602, 44123, 782, 258, 3955, 282, "GraphicsData", "PostScript", \
"Subsection"],
Cell[453887, 9386, 34, 1, 27, "Input"]
}, Open  ]]
}, Open  ]]
}, Open  ]]
}
]
*)



(*******************************************************************
End of Mathematica Notebook file.
*******************************************************************)

