<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="2017" minor="3"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="true" autoexpanding_sections="true" UserProfileName="Maple Default Profile" NumericFormat-ApplyInteger="true" NumericFormat-ApplyRational="true" NumericFormat-ApplyExponent="false">
</View-Properties>
<MapleNet-Properties prettyprint="3" warnlevel="3" preplot="" helpbrowser="standard" contextmenusize="automatic" displayprecision="-1" echo="1" unitattributes="&quot;fontweight&quot; = &quot;bold&quot;" imaginaryunit="I" longdelim="true" elisiontermsthreshold="10000" elisiondigitsafter="100" elisiondigitsbefore="100" plotdevice="inline" errorbreak="1" plotoptions="" plotdriver="opengl" quiet="false" elisiontermsbefore="100" elisiontermsafter="100" screenwidth="79" indentamount="4" plotoutput="terminal" screenpixelheight="1050" rtablesize="10" useclientjvm="true" labelwidth="20" postplot="" typesetting="extended" ansi="false" elisiondigitsthreshold="10000" showassumed="1" errorcursor="false" labelling="true" screenheight="25" prompt="&gt; " verboseproc="1" latexwidth="8.0" ShowLabels="true"/>
<Styles>
<Font name="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="16" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Inert Output" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[144,144,144]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[40,120,40]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 1" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Courier New" foreground="[120,0,14]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 3" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 5" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Header and Footer" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkError" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Atomic Variable" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[175,0,175]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkWarning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="2D Math" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Bullet Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="List Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Dash Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Caption Reference" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Code" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Courier New" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="true"/>
<Font name="Equation Label" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Author" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Caption Text" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.3" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 1" alignment="left" bullet="numeric" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="newline" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 3" alignment="left" bullet="roman" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 5" alignment="left" bullet="ROMAN" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Annotation Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkError" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkWarning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Bullet Item" alignment="left" bullet="dot" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Dash Item" alignment="left" bullet="dash" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
</Styles>
<Startup-Code startupcode=""/>
<Task-table>
    <Task-category name="&lt;default&gt;"/>
</Task-table>
<Task/><Presentation-Block>
<Group view="code" labelreference="L4295" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;
with(Ore_algebra):</Text-field>
</Input>
</Group>
<Group view="code" labelreference="L4296" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" labelreference="L4516" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># We will need asymptotics of a Fourier-Laplace integral with non-degenerate critical point whose phase has a 
# strict local minimum at the critical point.  See Proposition 53 in Melczer's Thesis for details.
with(Ore_algebra):

# The following computes the asymptotic expansion of the saddle-point integral up to order n^(-M-2)
saddleAsm := proc(phi,Abar,M)
  local DA,HES,HESinv,Epsilon,phiTilde,ATaylor,phiTaylor,Clj;
  DA := diff_algebra([Dt1,t1],[Dt2,t2]):
  HES := simplify(subs(t1=0,t2=0,VectorCalculus[Hessian](phi,[t1,t2]))):
  HESinv := LinearAlgebra[MatrixInverse](HES):
  Epsilon := -expand((Matrix([Dt1,Dt2]) . HESinv . (Matrix([[Dt1],[Dt2]])))[1,1]):
  phiTilde := phi - (1/2) * expand((Matrix([t1,t2]) . HES . (Matrix([[t1],[t2]])))[1,1]):

  # We only need A and phi to orders 2M and 2M+2 for asymptotics to this accuracy.  Speeds up later calculations.
  ATaylor := mtaylor(Abar,[t1,t2],2*M+2):
  phiTaylor := mtaylor(phiTilde,[t1,t2],2*M+4):

  Clj := proc(l,j) 
     return (-1)^j*simplify(subs(t1=0,t2=0,applyopr(skew_power(Epsilon,l+j,DA),ATaylor*phiTaylor^l, DA)/(2^(l+j)*factorial(l)*factorial(l+j)))):
   end:

  return 1/(2*Pi*n)/sqrt(LinearAlgebra[Determinant](HES)) * add(simplify(add(Clj(l,j),l=0..2*j))/n^j,j=0..M);
end:</Text-field>
</Input>
</Group>
<Group view="code" labelreference="L4515" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="true" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Model 1: [ [1,0], [-1,0], [0,-1], [-2, 1] ]</Text-field></Title><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4308" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Define the stepset
ST := [[1,0], [-1,0], [0,-1], [-2, 1]];</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTVEdGKDcmNyQiIiIiIiE3JCEiIkYxNyRGMUYzNyQhIiNGMDcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4470" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Create the characteristic polynomial
S := add(x^i[1]*y^i[2],i=ST);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJTR0YoLCpJInhHRigiIiIqJEYvISIiRjAqJEkieUdGKEYyRjAqJkYvISIjRjRGMEYwNyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4312" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># The generating function is the positive power extration in x and y of the following function
R := -(x^2+1)*(x-y)*(x+y)*(x^2*y-2*x-y)*(x^3-x-2*y)/(x^7*y^3*(1-S*t));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRjY2LVEqJnVtaW51czA7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORlMtSSZtZnJhY0dGJDYoLUYjNiwtSShtZmVuY2VkR0YkNiQtRiM2Ji1JJW1zdXBHRiQ2JS1GLDYlUSJ4RidGL0YyLUkjbW5HRiQ2JFEiMkYnRjkvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUY2Ni1RJyZwbHVzO0YnRjlGO0Y+RkBGQkZERkZGSEZSRlQtRmBvNiRRIjFGJ0Y5RjlGOS1GNjYtUTEmSW52aXNpYmxlVGltZXM7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORmBwLUZlbjYkLUYjNiZGXG8tRjY2LVEoJm1pbnVzO0YnRjlGO0Y+RkBGQkZERkZGSEZSRlQtRiw2JVEieUYnRi9GMkY5RjlGXHAtRmVuNiQtRiM2JkZcb0Zmb0ZpcEY5RjlGXHAtRmVuNiQtRiM2KC1GIzYmRmluRlxwRmlwRjlGZnAtRiM2JkZfb0ZccEZcb0Y5RmZwRmlwRjlGOUZccC1GZW42JC1GIzYoLUZqbjYlRlxvLUZgbzYkUSIzRidGOUZjb0ZmcEZcb0ZmcC1GIzYmRl9vRlxwRmlwRjlGOUY5RjktRiM2KC1Gam42JUZcby1GYG82JFEiN0YnRjlGY29GXHAtRmpuNiVGaXBGXnJGY29GXHAtRmVuNiQtRiM2J0ZPLUYjNiYtRmVuNiQtRiM2KkZcb0Zmby1GVjYoRmlvRlxvLyUubGluZXRoaWNrbmVzc0dGW3AvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGXHQvJSliZXZlbGxlZEdGPUZmby1GVjYoRmlvRmlwRmhzRmpzRl10Rl90RmZvLUZWNihGaXBGaW5GaHNGanNGXXRGX3RGOUY5RlxwLUYsNiVRInRGJ0YvRjJGOUZmb0Zpb0Y5RjlGOUZoc0Zqc0ZddEZfdEY5">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJSR0YoLCQqMiwmKiRJInhHRigiIiMiIiJGNEY0RjQsJkYyRjRJInlHRighIiJGNCwmRjJGNEY2RjRGNCwoKiZGMkYzRjZGNEY0RjIhIiNGNkY3RjQsKCokRjIiIiRGNEYyRjdGNkY7RjRGMiEiKEY2ISIkLCYqJiwqRjJGNCokRjJGN0Y0KiRGNkY3RjQqJkYyRjtGNkY0RjRGNEkidEdGKEY0RjdGNEY0RjdGNzcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4326" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Check we get the generating function
expand(convert(series(R,t,5),polynom)):
add(add(add(x^k*y^j*t^n*coeff(coeff(coeff(%,x,k),y,j),t,n),k=0..10),j=0..10),n=0..10):
sort(collect(%,t),t,ascending);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCwiIiJGIyomSSJ4RzYiRiNJInRHRiZGI0YjKiYsJiokRiUiIiNGI0YjRiNGI0YnRitGIyomLCgqJEYlIiIkRiNGJUYrSSJ5R0YmRiNGI0YnRi9GIyomLCoqJEYlIiIlRiNGKkYvKiZGJUYjRjBGI0YrRi9GI0YjRidGNEYj</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L4301" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Convert into a diagonal for walks ending anywhere in the quarter plane
F := simplify(subs({x=1/x,y=1/y,t=x*y*t},R)/(1-x)/(1-y));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRjY2LVEqJnVtaW51czA7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORlMtSSZtZnJhY0dGJDYoLUYjNiotSShtZmVuY2VkR0YkNiQtRiM2Ji1JJW1zdXBHRiQ2JS1GLDYlUSJ4RidGL0YyLUkjbW5HRiQ2JFEiMkYnRjkvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUY2Ni1RJyZwbHVzO0YnRjlGO0Y+RkBGQkZERkZGSEZSRlQtRmBvNiRRIjFGJ0Y5RjlGOS1GNjYtUTEmSW52aXNpYmxlVGltZXM7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORmBwLUZlbjYkLUYjNihGaW5GZm8tRiM2KEZfb0ZccEZcb0ZccC1GLDYlUSJ5RidGL0YyRjktRjY2LVEoJm1pbnVzO0YnRjlGO0Y+RkBGQkZERkZGSEZSRlRGaW9GOUY5RlxwLUZlbjYkLUYjNigtRiM2JkZfb0ZccC1Gam42JUZcby1GYG82JFEiM0YnRjlGY29GOUZmby1GIzYmRmluRlxwRmhwRjlGW3FGaHBGOUY5RlxwLUZlbjYkLUYjNiZGaW5GW3EtRmpuNiVGaHBGX29GY29GOUY5RjktRiM2LEZpbkZccEZocEZccC1GZW42JC1GIzYsLUYjNiYtRiw2JVEidEYnRi9GMkZccEZkcUY5RmZvLUYjNihGaXJGXHBGaW5GXHBGaHBGOUZmby1GIzYoRmlyRlxwRlxvRlxwRl9yRjlGZm8tRiM2JkZpckZccEZocEY5RltxRmlvRjlGOUZccC1GZW42JC1GIzYnRk9GaW9GZm9GXG9GOUY5RlxwLUZlbjYkLUYjNidGT0Zpb0Zmb0ZocEY5RjlGOS8lLmxpbmV0aGlja25lc3NHRltwLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRl50LyUpYmV2ZWxsZWRHRj1GOQ==">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJGR0YoLCQqNCwmKiRJInhHRigiIiMiIiJGNEY0RjQsKEYxRjQqJkYyRjRJInlHRihGNEYzISIiRjRGNCwoKiRGMiIiJEYzKiZGMkYzRjdGNEY0RjdGOEY0RjIhIiNGN0Y4LCwqJkkidEdGKEY0RjJGO0Y0KihGQEY0RjJGM0Y3RjRGNCooRkBGNEYyRjRGN0YzRjQqJkZARjRGN0Y0RjRGOEY0RjgsJkY4RjRGMkY0RjgsJkY4RjRGN0Y0RjgsJkYxRjQqJEY3RjNGOEY0Rjg3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4471" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Check we get the correct counting sequence
expand(convert(series(F,t,11),polynom)):
expand(convert(series(%,x,11),polynom)):
expand(convert(series(%,y,11),polynom)):
seq(coeff(coeff(coeff(%,x,k),y,k),t,k),k=0..10);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ni0iIiJGIyIiIyIiJSIiKiIjQCIjYCIkTSIiJGUkIiRjKiIlYkU=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4478" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">Sbar := subs(x=1/x,y=1/y,S);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVTYmFyR0YoLCoqJEkieEdGKCEiIiIiIkYwRjJJInlHRihGMiomKUYwIiIjRjJGM0YxRjI3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4477" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Critical points of the integral occur when diff(Sbar,x)=diff(Sbar,y)=0
factor(Groebner[Basis](map(numer,[diff(Sbar,x),diff(Sbar,y)]),plex(y,x)));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NyQqKClJInhHNiIiIiMiIiIsJiomIiIkRihGJEYoRihGKCEiIkYoLCYqJEYkRihGKEYoRihGKCwoKiZGK0YoKUYlIiImRihGLComRjJGKClGJUYrRihGLComRidGKEkieUdGJkYoRig=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4842" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">solve([x^2*(3*x^2-1)*(x^2+1), -3*x^5-5*x^3+2*y]);
map(allvalues,[%]);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NiU8JC9JInhHNiIiIiEvSSJ5R0YmRic8JC9GJS1JJ1Jvb3RPZkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYjLCYqJiIiJCIiIilJI19aR0YuIiIjRjVGNUY1ISIiL0YpRiw8JC9GJS1GLTYjLCYqJEY2RjVGNUY1RjUvRiksJEY9Rjk=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Nyc8JC9JInhHNiIiIiEvSSJ5R0YmRic8JC9GJSwkKiYjIiIiIiIkRi8pRjAjRi8iIiNGL0YvL0YpRiw8JC9GJSwkRi0hIiIvRilGNzwkL0YlXiNGLy9GKSwkRjxGODwkL0YlRj4vRilGPA==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4476" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># This happens at the following points whose modulus is less than 1
# Thus we will have &quot;smooth&quot; contributing singularities, and can compute  
# asymptotics using standard saddle-point techniques
c1 := [1/sqrt(3),solve(subs(x=1/sqrt(3),-3*x^5-5*x^3+2*y))];
c2 := [-1/sqrt(3),solve(subs(x=-1/sqrt(3),-3*x^5-5*x^3+2*y))];</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNjMUdGKDckLCQqJiMiIiIiIiRGMilGMyNGMiIiI0YyRjJGLzcjRi4=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjYzJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSkmQXNzaWduO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkobWZlbmNlZEdGJDYmLUYjNigtRiM2JS1GNjYtUSomdW1pbnVzMDtGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GWi1JJm1mcmFjR0YkNigtSSZtc3FydEdGJDYjLUkjbW5HRiQ2JFEiM0YnRjlGXG8vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmVvLyUpYmV2ZWxsZWRHRj1GOS1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZOUSwwLjMzMzMzMzNlbUYnRlQvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRj1GOUY5LyUlb3BlbkdRJyZsc3FiO0YnLyUmY2xvc2VHUScmcnNxYjtGJ0Y5">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNjMkdGKDckLCQqJiMiIiIiIiRGMilGMyNGMiIiI0YyISIiRi83I0Yu</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4479" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># The integral near c1 has exponential growth
subs({x=c1[1],y=c1[2]},Sbar);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEiMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctSSZtc3FydEdGJDYjLUYsNiRRIjNGJ0YvRi8=">LCQqJiIiIyIiIikiIiQjRiVGJEYlRiU=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4481" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Get &quot;amplitude&quot; of Fourier-Laplace integral and convert to polar coordinates with |x|,|y| fixed near critical point
A := normal(F*(1-t*x*y*Sbar));
Abar := simplify(subs({x=c1[1]*exp(I*t1),y=c1[2]*exp(I*t2)}, A));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJBR0YoKjIsJiokKUkieEdGKCIiIyIiIkY0RjRGNEY0LChGMEY0KihGM0Y0RjJGNEkieUdGKEY0RjRGNCEiIkY0LCgqJkYzRjQpRjIiIiRGNEY0KiZGMUY0RjdGNEY0RjdGOEY0RjFGOEY3RjgsJkY0RjhGMkY0RjgsJkY0RjhGN0Y0RjgsJkYwRjQqJClGN0YzRjRGOEY0NyNGLg==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVBYmFyR0YoLCQqMCMiIiIiIiRGMSwoLUkkZXhwR0YlNiMqJiomIiIjRjFeI0YxRjFGMUkjdDFHRihGMUYxKiZGOUYxLUY1NiMqJkY6RjEsJkY7RjFJI3QyR0YoRjFGMUYxRjFGMiEiIkYxLCgqJkY5RjEtRjU2IyomKiZGMkYxRjpGMUYxRjtGMUYxRjEtRjU2IyomRjpGMSwmKiZGOUYxRjtGMUYxRkFGMUYxRjEqJkYyRjEtRjU2IyomRjpGMUZBRjFGMUZCRjEsJkY0RjEtRjU2IyomRjhGMUZBRjFGQkYxLCYqJilGMiNGMUY5RjEtRjU2IyomRjpGMUY7RjFGMUYxRjJGQkZCLCYqJkZYRjFGT0YxRjFGMkZCRkIsJi1GNTYjLCQqJiwkRjpGMUYxRkFGMUZCRjEqJkYyRjEtRjU2IywkKiZGXm9GMUZMRjFGQkYxRjFGMUYxNyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4482" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Get &quot;phase&quot; of Fourier-Laplace integral, after polar change of variables
phi := -log(subs({x=c1[1]*exp(I*t1),y=c1[2]*exp(I*t2)},Sbar)) + log(subs({x=c1[1],y=c1[2]},Sbar));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRwaGlHRigsJi1JI2xuR0YlNiMsKiomKSIiJCMiIiIiIiNGNy1JJGV4cEdGJTYjKiZeI0Y3RjdJI3QxR0YoRjchIiJGNyooI0Y3RjVGN0Y0RjdGOUY3RjcqKEZBRjdGNEY3LUY6NiMqJkY9RjdJI3QyR0YoRjdGN0Y3KipGQUY3KUY5RjhGN0Y0RjdGQ0Y/RjdGPy1GMDYjLCQqJkY4RjdGNEY3RjdGNzcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4494" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># The phase is non-degenerate, and the amplitude vanishes to order 3
mtaylor(phi,[t1,t2],3);
evala(simplify(mtaylor(Abar,[t1,t2],4)));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCgqJiMiIiMiIiQiIiIpSSN0MUc2IkYlRidGJyooI0YnRiZGJ0YpRidJI3QyR0YqRichIiIqJiNGJyIiJ0YnKUYtRiVGJ0Yn</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqLCMiIzsiIioiIiIsJiomXiNGJ0YnKSIiJCNGJyIiI0YnRicqJkYuRidGKkYnRidGJywmKiYiIiVGJ0kjdDFHNiJGJ0YnSSN0MkdGNCEiIkYnLCZGM0YnRjVGNkYnLCYqJkYuRidGM0YnRidGNUYnRidGNg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4498" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Find asymptotics of the Fourier-Laplace integral (may take 30 seconds or longer)
ASM1 := evala(subs({x=c1[1],y=c1[2]},Sbar)^n*saddleAsm(phi,Abar,3));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVBU00xR0YoLCQqLCIkMyIiIiIsJiIjWEYxKiYiI0VGMSkiIiQjRjEiIiNGMUYxRjEpLCQqJkY5RjFGNkYxRjFJIm5HRihGMUkjUGlHRiYhIiIpRj0iIiVGP0YxNyNGLg==</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4512" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Repeat same process with c2
# The phase is still non-degenerate, and the amplitude still vanishes to order 3
Abar := simplify(subs({x=c2[1]*exp(I*t1),y=c2[2]*exp(I*t2)}, A)):
phi := -log(subs({x=c2[1]*exp(I*t1),y=c2[2]*exp(I*t2)},Sbar)/subs({x=c2[1],y=c2[2]},Sbar)):
mtaylor(phi,[t1,t2],3);
evala(simplify(mtaylor(Abar,[t1,t2],4)));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUYjNiYtSSZtZnJhY0dGJDYoLUkjbW5HRiQ2JFEiMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GMTYkUSIzRidGNC8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGPy8lKWJldmVsbGVkR1EmZmFsc2VGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0Y0LyUmZmVuY2VHRkQvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGWS1JJW1zdXBHRiQ2JS1JI21pR0YkNiVRI3QxRicvJSdpdGFsaWNHUSV0cnVlRicvRjVRJ2l0YWxpY0YnRjAvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjQtRkY2LVEoJm1pbnVzO0YnRjRGSUZLRk1GT0ZRRlNGVS9GWFEsMC4yMjIyMjIyZW1GJy9GZW5GaW8tRiM2Ji1GLjYoLUYxNiRGPEY0RjdGOkY9RkBGQkZFLUYjNiZGaW5GRS1Gam42JVEjdDJGJ0Zdb0Zgb0Y0RjQtRkY2LVEnJnBsdXM7RidGNEZJRktGTUZPRlFGU0ZVRmhvRmpvLUYjNiYtRi42KEZfcC1GMTYkUSI2RidGNEY6Rj1GQEZCRkUtRmduNiVGY3BGMEZib0Y0RjQ=">LCgqJiMiIiMiIiQiIiIpSSN0MUc2IkYlRidGJyooI0YnRiZGJ0YpRidJI3QyR0YqRichIiIqJiNGJyIiJ0YnKUYtRiVGJ0Yn</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqLCMiIzsiIioiIiIsJiomXiNGJ0YnKSIiJCNGJyIiI0YnRicqJkYuRidGKkYnISIiRicsJkkjdDFHNiJGJ0kjdDJHRjNGMEYnLCYqJiIiJUYnRjJGJ0YnRjRGMEYnLCYqJkYuRidGMkYnRidGNEYnRidGJw==</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4513" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ASM2 := evala(subs({x=c2[1],y=c2[2]},Sbar)^n*saddleAsm(phi,Abar,3));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVBU00yR0YoLCQqLCIkMyIiIiIsJiIjWCEiIiomIiNFRjEpIiIkI0YxIiIjRjFGMUYxKSwkKiZGOkYxRjdGMUY0SSJuR0YoRjFJI1BpR0YmRjQpRj4iIiVGNEYxNyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4488" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Leading constant is different when n is even or odd
simplify((ASM1 + ASM2)/(2*sqrt(3))^n) assuming n::even;
simplify((ASM1 + ASM2)/(2*sqrt(3))^n) assuming n::odd;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqKiIlO2MiIiIpIiIkI0YlIiIjRiVJI1BpRyUqcHJvdGVjdGVkRyEiIilJIm5HNiIiIiVGLEYl</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqKCIlPygqIiIiSSNQaUclKnByb3RlY3RlZEchIiIpSSJuRzYiIiIlRihGJQ==</Equation></Text-field>
</Output>
</Group></Presentation-Block>
</Section>
<Section collapsed="true" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Model 2: [ [0,1],[1,-1],[-1,-1],[-2,1] ]</Text-field></Title><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4660" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Define the stepset
ST := [[0,1],[1,-1],[-1,-1],[-2,1]];</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTVEdGKDcmNyQiIiEiIiI3JEYxISIiNyRGM0YzNyQhIiNGMTcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4650" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Create the characteristic polynomial
S := add(x^i[1]*y^i[2],i=ST);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJTR0YoLCpJInlHRigiIiIqJkkieEdGKEYwRi8hIiJGMComRjJGM0YvRjNGMComKUYyIiIjRjNGL0YwRjA3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4657" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># The generating function is the positive power extration in x and y of the following function
R := -(x^2*y^2-y^2-2*x)*(-y^2+x)*(x^3-2*y^2-x)/((1-t*S)*x^5*y^4);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJSR0YoLCQqLiwoKiYpSSJ4R0YoIiIjIiIiKUkieUdGKEY0RjVGNSokRjZGNSEiIiomRjRGNUYzRjVGOUY1LCZGOEY5RjNGNUY1LCgqJClGMyIiJEY1RjUqJkY0RjVGNkY1RjlGM0Y5RjUsJiomLCpGN0Y1KiZGM0Y1RjdGOUY1KiZGM0Y5RjdGOUY1KiZGMkY5RjdGNUY1RjVJInRHRihGNUY5RjVGNUY5KUYzIiImRjkpRjciIiVGOUY5NyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4655" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Check we get the generating function
expand(convert(series(R,t,5),polynom)):
add(add(add(x^k*y^j*t^n*coeff(coeff(coeff(%,x,k),y,j),t,n),k=0..10),j=0..10),n=0..10):
sort(collect(%,t),t,ascending);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCwiIiJGIyomSSJ5RzYiRiNJInRHRiZGI0YjKiYsJiokKUYlIiIjRiNGI0kieEdGJkYjRiMpRidGLEYjRiMqJiwmKiQpRiUiIiRGI0YjKihGLEYjRi1GI0YlRiNGI0YjKUYnRjNGI0YjKiYsKiokKUYlIiIlRiNGIyooRjNGI0YtRiNGK0YjRiMqJkYsRiMpRi1GLEYjRiNGLEYjRiMpRidGOkYjRiM=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L4659" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Convert into a diagonal for walks ending anywhere in the quarter plane
F := simplify(subs({x=1/x,y=1/y,t=x*y*t},R)/(1-x)/(1-y));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJGR0YoLCQqMiwoKigiIiMiIiJJInhHRihGMylJInlHRihGMkYzRjMqJClGNEYyRjNGM0YzISIiRjMsJiokRjVGM0Y5RjRGM0YzLCgqJkY4RjNGNUYzRjMqJkYyRjMpRjQiIiRGM0YzRjtGOUYzRjRGOUY1RjksLCooSSJ0R0YoRjNGOEYzRjVGM0YzKiZGQ0YzRj9GM0YzKiZGQ0YzRjVGM0YzKiZGQ0YzRjRGM0YzRjNGOUY5LCZGM0Y5RjRGM0Y5LCZGM0Y5RjZGM0Y5Rjk3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4651" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Check we get the correct counting sequence
expand(convert(series(F,t,11),polynom)):
expand(convert(series(%,x,11),polynom)):
expand(convert(series(%,y,11),polynom)):
seq(coeff(coeff(coeff(%,x,k),y,k),t,k),k=0..10);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ni0iIiJGIyIiIyIiJCIiKSIjPCIjWyIkMiIiJD0kIiQoeiIlSUM=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4656" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">Sbar := subs(x=1/x,y=1/y,S);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVTYmFyR0YoLCoqJEkieUdGKCEiIiIiIiomSSJ4R0YoRjFGMEYyRjIqJkY0RjJGMEYyRjIqJilGNCIiI0YyRjBGMUYyNyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4654" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Critical points of the integral occur when diff(Sbar,x)=diff(Sbar,y)=0
factor(Groebner[Basis](map(numer,[diff(Sbar,x),diff(Sbar,y)]),plex(y,x)));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NyQqKEkieEc2IiIiIiwmKiYiIiRGJilGJCIiI0YmRiZGJiEiIkYmLCYqJEYqRiZGJkYmRiZGJiwoKiZGKUYmKUYkRilGJkYsKiZGK0YmKUkieUdGJUYrRiZGJkYkRiw=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4653" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># This happens at the following points whose modulus is less than 1
# Thus we will have &quot;smooth&quot; contributing singularities, and can compute  
# asymptotics using standard saddle-point techniques
c1 := [1/sqrt(3),(1/3)*3^(3/4)];
c2 := [1/sqrt(3),-(1/3)*3^(3/4)];
c3 := [-1/sqrt(3),(I*(1/3))*3^(3/4)];
c4 := [-1/sqrt(3),-(I*(1/3))*3^(3/4)];</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNjMUdGKDckLCQqJiMiIiIiIiRGMilGMyNGMiIiI0YyRjIsJComRjFGMilGMyNGMyIiJUYyRjI3I0Yu</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNjMkdGKDckLCQqJiMiIiIiIiRGMilGMyNGMiIiI0YyRjIsJComRjFGMilGMyNGMyIiJUYyISIiNyNGLg==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNjM0dGKDckLCQqJiMiIiIiIiRGMilGMyNGMiIiI0YyISIiKiYqJkYxRjJeI0YyRjJGMilGMyNGMyIiJUYyNyNGLg==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNjNEdGKDckLCQqJiMiIiIiIiRGMilGMyNGMiIiI0YyISIiLCQqJiwkKiZGMUYyXiNGMkYyRjJGMilGMyNGMyIiJUYyRjc3I0Yu</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4658" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Get the contributions of each point, as in the above example
A := normal(F*(1-t*x*y*Sbar)):
for j from 1 to 4 do
  print(j);
  p := c||j;
  Abar := simplify(subs({x=p[1]*exp(I*t1),y=p[2]*exp(I*t2)}, A)):
  phi := -log(subs({x=p[1]*exp(I*t1),y=p[2]*exp(I*t2)},Sbar)/subs({x=p[1],y=p[2]},Sbar)):
  ASM||j := evala(subs({x=p[1],y=p[2]},Sbar)^n*saddleAsm(phi,Abar,3));
od:</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">IiIi</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEiMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">IiIj</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEiM0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">IiIk</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEiNEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">IiIl</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4652" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Leading constant depends on n mod 4
ASM := ASM1 + ASM2 + ASM3 + ASM4:
simplify(expand(subs(n=4*k,ASM*n^4/(8*3^(1/4)*(1/3))^n))) assuming k::integer;
simplify(expand(subs(n=4*k+1,ASM*n^4/(8*3^(1/4)*(1/3))^n))) assuming k::integer;
simplify(expand(subs(n=4*k+2,ASM*n^4/(8*3^(1/4)*(1/3))^n))) assuming k::integer;
simplify(expand(subs(n=4*k+3,ASM*n^4/(8*3^(1/4)*(1/3))^n))) assuming k::integer;
</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqKCIlP14iIiJJI1BpRyUqcHJvdGVjdGVkRyEiIikiIiQjRiUiIiNGJUYl</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqKCIlY20iIiJJI1BpRyUqcHJvdGVjdGVkRyEiIikiIiQjRiUiIiVGJUYl</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJiMiJkNtIyIiJCIiIkkjUGlHJSpwcm90ZWN0ZWRHISIiRic=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqKCIlU1EiIiJJI1BpRyUqcHJvdGVjdGVkRyEiIikiIiQjRioiIiVGJUYl</Equation></Text-field>
</Output>
</Group></Presentation-Block>
</Section>
<Section collapsed="true" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Model 3: [ [0, 1], [1, -1], [-1,-1], [-2, 1], [-1, 0] ]</Text-field></Title><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4687" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Define the stepset
ST := [ [0, 1], [1, -1], [-1,-1], [-2, 1], [-1, 0] ];</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTVEdGKDcnNyQiIiEiIiI3JEYxISIiNyRGM0YzNyQhIiNGMTckRjNGMDcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4688" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Create the characteristic polynomial
S := add(x^i[1]*y^i[2],i=ST);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJTR0YoLCxJInlHRigiIiIqJkkieEdGKEYwRi8hIiJGMComRjJGM0YvRjNGMComKUYyIiIjRjNGL0YwRjAqJEYyRjNGMDcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4682" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># The generating function is the positive power extration in x and y of the following function
R := -(-y^2+x)*(x^2*y^2-x*y-y^2-2*x)*(x^3-x*y-2*y^2-x)/(x^5*y^4*(1-t*S));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRjY2LVEqJnVtaW51czA7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORlMtSSZtZnJhY0dGJDYoLUYjNigtSShtZmVuY2VkR0YkNiQtRiM2J0ZPLUklbXN1cEdGJDYlLUYsNiVRInlGJ0YvRjItSSNtbkdGJDYkUSIyRidGOS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictRjY2LVEnJnBsdXM7RidGOUY7Rj5GQEZCRkRGRkZIRlJGVC1GLDYlUSJ4RidGL0YyRjlGOS1GNjYtUTEmSW52aXNpYmxlVGltZXM7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORmBwLUZlbjYkLUYjNiotRiM2Ji1Gam42JUZpb0Zfb0Zjb0ZccEZpbkY5LUY2Ni1RKCZtaW51cztGJ0Y5RjtGPkZARkJGREZGRkhGUkZULUYjNiZGaW9GXHBGXG9GOUZqcEZpbkZqcC1GIzYmRl9vRlxwRmlvRjlGOUY5RlxwLUZlbjYkLUYjNiotRmpuNiVGaW8tRmBvNiRRIjNGJ0Y5RmNvRmpwRl1xRmpwLUYjNiZGX29GXHBGaW5GOUZqcEZpb0Y5RjlGOS1GIzYoLUZqbjYlRmlvLUZgbzYkUSI1RidGOUZjb0ZccC1Gam42JUZcby1GYG82JFEiNEYnRjlGY29GXHAtRmVuNiQtRiM2J0ZPLUYjNiYtRmVuNiQtRiM2LEZcb0Zmby1GVjYoRmlvRlxvLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zpcy8lKWJldmVsbGVkR0Y9RmZvLUZWNigtRmBvNiRGZnNGOUZdcUZkc0Znc0Zqc0ZcdEZmby1GVjYoRlxvRmhwRmRzRmdzRmpzRlx0RmZvLUZWNihGYHRGaW9GZHNGZ3NGanNGXHRGOUY5RlxwLUYsNiVRInRGJ0YvRjJGOUZmb0ZgdEY5RjlGOUZkc0Znc0Zqc0ZcdEY5">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJSR0YoLCQqLiwmKiQpSSJ5R0YoIiIjIiIiISIiSSJ4R0YoRjVGNSwqKiYpRjdGNEY1RjJGNUY1KiZGN0Y1RjNGNUY2RjFGNiomRjRGNUY3RjVGNkY1LCoqJClGNyIiJEY1RjVGO0Y2KiZGNEY1RjJGNUY2RjdGNkY1KUY3IiImRjYpRjMiIiVGNiwmKiYsLEYzRjUqJkY3RjVGM0Y2RjUqJkY3RjZGM0Y2RjUqJkY6RjZGM0Y1RjUqJEY3RjZGNUY1SSJ0R0YoRjVGNkY1RjVGNkY2NyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4692" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Check we get the generating function
expand(convert(series(R,t,5),polynom)):
add(add(add(x^k*y^j*t^n*coeff(coeff(coeff(%,x,k),y,j),t,n),k=0..10),j=0..10),n=0..10):
sort(collect(%,t),t,ascending);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RJyZwbHVzO0YnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGRy1GIzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy1GMzYtUTEmSW52aXNpYmxlVGltZXM7RidGL0Y2RjlGO0Y9Rj9GQUZDL0ZGUSYwLjBlbUYnL0ZJRlktRk02JVEidEYnRlBGU0YvRjItRiM2Ji1JKG1mZW5jZWRHRiQ2JC1GIzYmLUklbXN1cEdGJDYlRkwtRiw2JFEiMkYnRi8vJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjItRk02JVEieEYnRlBGU0YvRi9GVS1GYG82JUZlbkZib0Zlb0YvRjItRiM2Ji1GW282JC1GIzYoLUZgbzYlRkwtRiw2JFEiM0YnRi9GZW9GMi1GIzYmRmJvRlUtRiM2JkZob0ZVRkxGL0YvRjJGK0YvRi9GVS1GYG82JUZlbkZlcEZlb0YvRjItRiM2Ji1GW282JC1GIzYsLUZgbzYlRkwtRiw2JFEiNEYnRi9GZW9GMi1GIzYmRmVwRlUtRiM2JkZob0ZVRl9vRi9GL0YyLUYjNiZGYm9GVS1GYG82JUZob0Zib0Zlb0YvRjItRiM2JkZlcEZVRkxGL0YyRmJvRi9GL0ZVLUZgbzYlRmVuRmZxRmVvRi9GLw==">LCwiIiJGIyomSSJ5RzYiRiNJInRHRiZGI0YjKiYsJiokKUYlIiIjRiNGI0kieEdGJkYjRiMpRidGLEYjRiMqJiwoKiQpRiUiIiRGI0YjKihGLEYjRi1GI0YlRiNGI0YjRiNGIylGJ0YzRiNGIyomLCwqJClGJSIiJUYjRiMqKEYzRiNGLUYjRitGI0YjKiZGLEYjKUYtRixGI0YjKiZGM0YjRiVGI0YjRixGI0YjKUYnRjpGI0Yj</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L4686" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Convert into a diagonal for walks ending anywhere in the quarter plane
F := simplify(subs({x=1/x,y=1/y,t=x*y*t},R)/(1-x)/(1-y));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJGR0YoLCQqNCIiIyIiIiwmKiQpSSJ5R0YoRjBGMSEiIkkieEdGKEYxRjEsKCokKUY3IiIkRjFGMSomLCYqJiNGMUYwRjFGNEYxRjEqJkY/RjFGNUYxRjFGMSlGN0YwRjFGMUY+RjZGMSwoRjFGNiokRkFGMUYxKiYsJiomRjBGMUY0RjFGMUY1RjFGMUY3RjFGMUYxLCwqJkkidEdGKEYxRjpGMUYxKipGSUYxRjVGMSwmRjVGMUYxRjFGMUZBRjFGMSomRklGMUY3RjFGMSomRklGMUY0RjFGMUYxRjZGNkY0RjYsJkYxRjZGNUYxRjYsJkYxRjZGN0YxRjZGN0Y2RjY3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4689" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Check we get the correct counting sequence
expand(convert(series(F,t,14),polynom)):
expand(convert(series(%,x,14),polynom)):
expand(convert(series(%,y,14),polynom)):
seq(coeff(coeff(coeff(%,x,k),y,k),t,k),k=0..10);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ni0iIiJGIyIiIyIiJSIjNiIjRyIjeiIkRiMiJChwIiU9QCIlbm0=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4678" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">Sbar := subs(x=1/x,y=1/y,S);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVTYmFyR0YoLCwqJEkieUdGKCEiIiIiIiomSSJ4R0YoRjFGMEYyRjIqJkY0RjJGMEYyRjIqJilGNCIiI0YyRjBGMUYyRjRGMjcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4690" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Critical points of the integral occur when diff(Sbar,x)=diff(Sbar,y)=0
factor(Groebner[Basis](map(numer,[diff(Sbar,x),diff(Sbar,y)]),plex(x,y)));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NyQqKClJInlHNiIiIiMiIiIsKiomIiIlRigpRiVGK0YoRigqJkYrRigpRiUiIiRGKEYoKiRGJEYoRihGK0YoRigsKComRi9GKEYsRihGKCokRi5GKEYoRighIiJGKCw0KiYiJTtCRigpRiUiIipGKEYoKiYiJSFHJEYoKUYlIiIpRihGKComIiVmOkYoKUYlIiIoRihGKComIiVKR0YoKUYlIiInRihGNComIiUneiJGKClGJSIiJkYoRjQqJiIkTylGKEYsRihGNComIiRUI0YoRi5GKEY0KiYiJUs1RihGJEYoRjQqJiIlYz9GKEkieEdGJkYoRig=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4862" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">for k in [fsolve((3*y^4+y^3-1),complex)] do
solve(subs(y=k,2316*y^9+3280*y^8+1559*y^7-2831*y^6-1796*y^5-836*y^4-241*y^3-1032*y^2+2056*x)),
k;
od;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEtMC43MzgwMTk0NjczRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEoJmNvbW1hO0YnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JFE7JnVtaW51czA7MC44NTkwODA1OTQyMDg3NDlGJ0YvRi8=">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyQkIit0WT4hUSghIzUkITBcKDNVZiEzZikhIzo3JEYsXUJGRUI3RDk2OTYxODI3ODY=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NiQsJiQiK0EpcFNdJiEjNSEiIiomJCIrLC8rOTdGJiIiIl4jRitGK0YrLCYkIjBDXDk9UUk4KSEjO0YnKiYkIjB1OyNmISlRanUhIzpGK0YsRitGJw==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUYjNiYtSSNtbkdGJDYkUTYmdW1pbnVzMDswLjU1MDQwNjk4MjJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSgmbWludXM7RidGMS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZJLUYjNiYtRi42JFEtMC4xMjE0MDAwNDAxRidGMS1GNTYtUTEmSW52aXNpYmxlVGltZXM7RidGMUY4RjtGPUY/RkFGQ0ZFL0ZIUSYwLjBlbUYnL0ZLRlUtRi42JFEtJkltYWdpbmFyeUk7RidGMUYxRjEtRjU2LVEoJmNvbW1hO0YnRjFGOC9GPFEldHJ1ZUYnRj1GP0ZBRkNGRUZUL0ZLUSwwLjMzMzMzMzNlbUYnLUYjNiYtRi42JFE8JnVtaW51czA7MC4wODEzMzAzODE4MTQ0OTI0RidGMS1GNTYtUScmcGx1cztGJ0YxRjhGO0Y9Rj9GQUZDRkVGR0ZKLUYjNiYtRi42JFEyMC43NDYzMzg4MDU5MjE2NzRGJ0YxRlFGV0YxRjFGMQ==">NiQsJiQiK0EpcFNdJiEjNSEiIiomJCIrLC8rOTdGJiIiIl4jRitGK0YnLCYkIjBDXDk9UUk4KSEjO0YnKiYkIjB1OyNmISlRanUhIzpGK0YsRitGKw==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEtMC40NzM5MDU2MDgyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEoJmNvbW1hO0YnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JFEyMC42ODg0MDgwMjQ1MDQ0MDFGJ0YvRi8=">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyQkIisjM2MhUlohIzUkIjAsV11DITMlKW8hIzo3JEYsXTNGRTYwNzcwNDNGMTlDOUM=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4863" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">factor(Groebner[Basis](map(numer,[3*y^4+y^3-1,diff(Sbar,x),diff(Sbar,y)]),plex(x,y)));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NyQsKComIiIkIiIiKUkieUc2IiIiJUYmRiYqJClGKEYlRiZGJkYmISIiLCYqJClGKCIiI0YmRi1JInhHRilGJg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" labelreference="L4864" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="code" hide-input="false" labelreference="L4685" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># y is the unique positive root of my, and x = y^2
my := 3*y^4+y^3-1;
factor(Groebner[Basis](map(numer,[my,diff(Sbar,x),diff(Sbar,y)]),plex(x,y)));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNteUdGKCwoKiYiIiQiIiIpSSJ5R0YoIiIlRjFGMSokKUYzRjBGMUYxRjEhIiI3I0Yu</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NyQsKComIiIkIiIiKUkieUc2IiIiJUYmRiYqJClGKEYlRiZGJkYmISIiLCYqJClGKCIiI0YmRi1JInhHRilGJg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4683" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># This is the only contributing singularity
alias(ys = RootOf(my,y,index=1)); evalf(ys);
p := [ys^2,ys];
A := normal(F*(1-t*x*y*Sbar)):
Abar := simplify(subs({x=p[1]*exp(I*t1),y=p[2]*exp(I*t2)}, A)):
phi := -log(subs({x=p[1]*exp(I*t1),y=p[2]*exp(I*t2)},Sbar)/subs({x=p[1],y=p[2]},Sbar)):</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEjeXNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">SSN5c0c2Ig==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEtMC42ODg0MDgwMjQ1RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JCIrWC0zJSlvISM1</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJwR0YoNyQqJClJI3lzR0YoIiIjIiIiRjE3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group view="code" labelreference="L4681" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># We need to work over a differential ring (extended with ys)
# Otherwise the computation is the same

M := 3:
DA := skew_algebra(diff = [Dt1,t1], diff = [Dt2,t2], comm = yy, alg_relations = 3*yy^4+yy^3-1):
HES := simplify(subs(t1=0,t2=0,VectorCalculus[Hessian](phi,[t1,t2]))):
HESinv := LinearAlgebra[MatrixInverse](HES):
Epsilon := -subs(ys=yy,expand((Matrix([Dt1,Dt2]) . HESinv . (Matrix([[Dt1],[Dt2]])))[1,1])):
phiTilde := phi - (1/2) * expand((Matrix([t1,t2]) . HES . (Matrix([[t1],[t2]])))[1,1]):

# We only need A and phi to orders 2M and 2M+2 for asymptotics to this accuracy.  Speeds up later calculations.
ATaylor := map(evala,mtaylor(Abar,[t1,t2],2*M+2)):
phiTaylor := map(evala,mtaylor(phiTilde,[t1,t2],2*M+4)):

Clj := proc(l,j) 
     return (-1)^j*simplify(subs(t1=0,t2=0,applyopr(skew_power(Epsilon,l+j,DA),ATaylor*phiTaylor^l, DA)/(2^(l+j)*factorial(l)*factorial(l+j)))): end:</Text-field>
</Input>
</Group>
<Group view="code" labelreference="L4679" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="code" hide-input="false" labelreference="L4691" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Get leading asymptotics
M := 3;
CT := 1/(2*Pi*n)/sqrt(LinearAlgebra[Determinant](HES)) * add(simplify(add(Clj(l,j),l=0..2*j))/n^j,j=0..M):</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSIzRidGOUY5">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJNR0YoIiIkNyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4684" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ASM := evala(subs({x=p[1],y=p[2]},Sbar))^n*evala(subs(yy=ys,CT));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRBU01HRigsJCosIyIiIiIlOEJGMSksJiomIiIpRjEpSSN5c0dGKCIiJEYxRjEqJkY5RjEpRjgiIiNGMUYxSSJuR0YoRjEsKiooIig2XiE9RjEpRjkjRjFGPEYxRjhGMUYxKigiKCdRRkRGMUZBRjFGN0YxRjEqJiIoPGdJIkYxRkFGMUYxKigiKCIpeXMjRjFGQUYxRjtGMUYxRjFJI1BpR0YmISIiKUY9IiIlRkpGMTcjRi4=</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4680" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># This constant is slightly different than what we had before
evalf(ASM);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqKCQiK0NOPTc2ISInIiIiKSQiKzgta0pTISIqSSJuRzYiRicpRiwiIiUhIiJGJw==</Equation></Text-field>
</Output>
</Group></Presentation-Block>
</Section>
<Section collapsed="true" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Model 4: [ [1,0],[1,-1],[-2,1],[-2,0] ]</Text-field></Title><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4814" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Define the stepset
ST := [[1,0],[1,-1],[-2,1],[-2,0]];</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTVEdGKDcmNyQiIiIiIiE3JEYwISIiNyQhIiNGMDckRjVGMTcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4824" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Create the characteristic polynomial
S := add(x^i[1]*y^i[2],i=ST);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJTR0YoLCpJInhHRigiIiIqJkYvRjBJInlHRighIiJGMComKUYvIiIjRjNGMkYwRjAqJEY1RjNGMDcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4825" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># The generating function is the positive power extration in x and y of the following function
R := -(y-2)*(x^3-y^2)*(x^6*y-3*x^3*y-x^3-y^2)*(x^3-2*y)/(y^4*(1-t*S)*x^9);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJSR0YoLCQqMCwmSSJ5R0YoIiIiIiIjISIiRjIsJiokKUkieEdGKCIiJEYyRjIqJClGMUYzRjJGNEYyLCoqJilGOCIiJ0YyRjFGMkYyKihGOUYyRjdGMkYxRjJGNEY2RjRGOkY0RjIsJkY2RjIqJkYzRjJGMUYyRjRGMilGMSIiJUY0LCYqJiwqRjhGMiomRjhGMkYxRjRGMiomKUY4RjNGNEYxRjJGMiokRkpGNEYyRjJJInRHRihGMkY0RjJGMkY0KUY4IiIqRjRGNDcjRi4=</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4818" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Check we get the generating function
expand(convert(series(R,t,5),polynom)):
add(add(add(x^k*y^j*t^n*coeff(coeff(coeff(%,x,k),y,j),t,n),k=0..10),j=0..10),n=0..10):
sort(collect(%,t),t,ascending);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCwiIiJGIyomSSJ4RzYiRiNJInRHRiZGI0YjKiYpRiUiIiNGIylGJ0YqRiNGIyomLCgqJClGJSIiJEYjRiNJInlHRiZGI0YjRiNGIylGJ0YwRiNGIyomLCgqJClGJSIiJUYjRiMqKEYqRiNGJUYjRjFGI0YjKiZGMEYjRiVGI0YjRiMpRidGN0YjRiM=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L4822" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Convert into a diagonal for walks ending anywhere in the quarter plane
F := simplify(subs({x=1/x,y=1/y,t=x*y*t},R)/(1-x)/(1-y));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJGR0YoKjQsJiIiIiEiIiomIiIjRjBJInlHRihGMEYwRjAsJiokKUkieEdGKCIiJEYwRjAqJClGNEYzRjBGMUYwLCoqJClGOCIiJ0YwRjAqJkY3RjBGO0YwRjAqKEY5RjBGN0YwRjRGMEYwRjRGMUYwLCYqJkYzRjBGN0YwRjBGNEYxRjBGO0YxLCZGMEYxRjRGMEYxLCZGMEYxRjhGMEYxRjdGMSwqKiZJInRHRihGMEY7RjBGMComLCYqJkZIRjBGN0YwRjBGSEYwRjBGNEYwRjBGS0YwRjBGMUYxNyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4823" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Check we get the correct counting sequence
expand(convert(series(F,t,11),polynom)):
expand(convert(series(%,x,11),polynom)):
expand(convert(series(%,y,11),polynom)):
seq(coeff(coeff(coeff(%,x,k),y,k),t,k),k=0..10);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ni0iIiJGI0YjIiIkIiInIiM1IiNMIiN6IiIhRilGKQ==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4820" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">Sbar := subs(x=1/x,y=1/y,S);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVTYmFyR0YoLCoqJEkieEdGKCEiIiIiIiomRjBGMUkieUdGKEYyRjIqJilGMCIiI0YyRjRGMUYyKiRGNkYyRjI3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4816" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Critical points of the integral occur when diff(Sbar,x)=diff(Sbar,y)=0
factor(Groebner[Basis](map(numer,[diff(Sbar,x),diff(Sbar,y)]),plex(y,x)));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NyQqKilJInhHNiIiIiQiIiIsJkYoISIiRiVGKEYoLCYqJiIiJUYoRiRGKEYoRihGKkYoLCgqJClGJSIiI0YoRihGJUYoRihGKEYoLCgqJkYtRigpRiUiIidGKEYoKiZGJ0YoRiRGKEYqSSJ5R0YmRig=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4819" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">solve(4*x^3-1);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkmbWZyYWNHRiQ2KC1JJW1zdXBHRiQ2JS1JI21uR0YkNiRRIjJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiw2KC1GMjYkUSIxRidGNS1GMjYkUSIzRidGNS8lLmxpbmV0aGlja25lc3NHRjwvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGRC8lKWJldmVsbGVkR1EldHJ1ZUYnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YxRkBGQkZFL0ZIUSZmYWxzZUYnLUkjbW9HRiQ2LVEoJmNvbW1hO0YnRjUvJSZmZW5jZUdGTi8lKnNlcGFyYXRvckdGSS8lKXN0cmV0Y2h5R0ZOLyUqc3ltbWV0cmljR0ZOLyUobGFyZ2VvcEdGTi8lLm1vdmFibGVsaW1pdHNHRk4vJSdhY2NlbnRHRk4vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GIzYnLUZQNi1RKiZ1bWludXMwO0YnRjVGUy9GVkZORldGWUZlbkZnbkZpbi9GXG9RLDAuMjIyMjIyMmVtRicvRl9vRmhvLUYsNihGLi1GMjYkUSI0RidGNUZARkJGRUZNLUZQNi1RJyZwbHVzO0YnRjVGU0Zmb0ZXRllGZW5GZ25GaW5GZ29GaW8tRiw2KC1GIzYoLUYyNiRRLSZJbWFnaW5hcnlJO0YnRjUtRlA2LVExJkludmlzaWJsZVRpbWVzO0YnRjVGU0Zmb0ZXRllGZW5GZ25GaW5GW28vRl9vRl1vLUkmbXNxcnRHRiQ2I0Y9RmlwRi5GNUZccEZARkJGRUZNRjVGTy1GIzYnRmNvRmpvLUZQNi1RKCZtaW51cztGJ0Y1RlNGZm9GV0ZZRmVuRmduRmluRmdvRmlvRmJwRjVGNQ==">NiUsJComIyIiIiIiI0YmKUYnI0YmIiIkRiZGJiwmKiYjRiYiIiVGJkYoRiYhIiIqKComRi1GJl4jRiZGJkYmKUYqRiVGJkYoRiZGJiwmRixGLyooLCRGMUYmRiZGM0YmRihGJkYv</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4815" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># This happens at the following points whose modulus is less than 1
# Thus we will have &quot;smooth&quot; contributing singularities, and can compute  
# asymptotics using standard saddle-point techniques
c1 := [1/4^(1/3),1/2];
c2 := [exp(2*I*Pi/3)/4^(1/3),1/2];
c3 := [exp(-2*I*Pi/3)/4^(1/3),1/2];</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNjMUdGKDckLCQqJiMiIiIiIiVGMilGMyMiIiMiIiRGMkYyI0YyRjY3I0Yu</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNjMkdGKDckLCQqKCMiIiIiIiVGMiwmI0YyIiIjISIiKiYqJkY1RjJeI0YyRjJGMikiIiRGNUYyRjJGMilGMyNGNkY8RjJGMkY1NyNGLg==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNjM0dGKDckLCQqKCMiIiIiIiVGMiwmI0YyIiIjISIiKiYsJComRjVGMl4jRjJGMkYyRjIpIiIkRjVGMkY3RjIpRjMjRjZGPUYyRjJGNTcjRi4=</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4821" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Get the contributions of each point, as in the above example
# Higher order contributions take a long time - we hardcode answers
A := normal(F*(1-t*x*y*Sbar)):
for j from 1 to 3 do
  p := c||j;
  Abar := simplify(subs({x=p[1]*exp(I*t1),y=p[2]*exp(I*t2)}, A)):
  phi := -log(subs({x=p[1]*exp(I*t1),y=p[2]*exp(I*t2)},Sbar)/subs({x=p[1],y=p[2]},Sbar)):
#  ASM||j := evala(subs({x=p[1],y=p[2]},Sbar)^n*saddleAsm(phi,Abar,4));
od:

C1 := (2187*(207*2^(1/3)+264+152*2^(2/3)))/(16*Pi*n^5);
C2 := -(2187*(207*2^(1/3)-528+152*2^(2/3)-(207*I)*2^(1/3)*sqrt(3)+(152*I)*2^(2/3)*sqrt(3)))/(32*Pi*n^5)*exp(-2*Pi*I/3*n);
C3 := (2187*(-207*2^(1/3)+528-152*2^(2/3)-(207*I)*2^(1/3)*sqrt(3)+(152*I)*2^(2/3)*sqrt(3)))/(32*Pi*n^5)*exp(2*Pi*I/3*n);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNDMUdGKCwkKiojIiUoPSMiIzsiIiIsKComIiQyI0YzKSIiIyNGMyIiJEYzRjMiJGsjRjMqJiIkXyJGMylGOCNGOEY6RjNGM0YzSSNQaUdGJiEiIilJIm5HRigiIiZGQUYzNyNGLg==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNDMkdGKCwkKiwjIiUoPSMiI0siIiIsLComIiQyI0YzKSIiIyNGMyIiJEYzRjMiJEcmISIiKiYiJF8iRjMpRjgjRjhGOkYzRjMqKCwkKiZGNkYzXiNGM0YzRjNGM0Y3RjMpRjojRjNGOEYzRjwqKComRj5GM0ZERjNGM0Y/RjNGRUYzRjNGM0kjUGlHRiZGPClJIm5HRigiIiZGPC1JJGV4cEdGJTYjLCQqKCwkKiZGQEYzRkRGM0YzRjNGSUYzRktGM0Y8RjNGPDcjRi4=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjQzNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSkmQXNzaWduO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkmbWZyYWNHRiQ2KC1GIzYoLUkjbW5HRiQ2JFElMjE4N0YnRjktRjY2LVExJkludmlzaWJsZVRpbWVzO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZmbi1JKG1mZW5jZWRHRiQ2JC1GIzYtLUY2Ni1RKiZ1bWludXMwO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZhby1GIzYmLUZVNiRRJDIwN0YnRjlGWC1JJW1zdXBHRiQ2JS1GVTYkUSIyRidGOS1GUDYoLUZVNiRRIjFGJ0Y5LUZVNiRRIjNGJ0Y5LyUubGluZXRoaWNrbmVzc0dGYnAvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGanAvJSliZXZlbGxlZEdGMS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGOS1GNjYtUScmcGx1cztGJ0Y5RjtGPkZARkJGREZGRkhGYG9GYm8tRlU2JFEkNTI4RidGOS1GNjYtUSgmbWludXM7RidGOUY7Rj5GQEZCRkRGRkZIRmBvRmJvLUYjNiYtRlU2JFEkMTUyRidGOUZYLUZpbzYlRltwLUZQNihGW3BGY3BGZnBGaHBGW3FGXXFGX3FGOUZocS1GIzYqRmVvRlgtRlU2JFEtJkltYWdpbmFyeUk7RidGOUZYRmhvRlgtSSZtc3FydEdGJDYjRmNwRjlGYnEtRiM2KkZdckZYRmZyRlhGYHJGWEZpckY5RjlGOUZYLUZpbzYlLUY2Ni1RLyZFeHBvbmVudGlhbEU7RidGOUY7Rj5GQEZCRkRGRkZIRmVuL0ZOUSwwLjExMTExMTFlbUYnLUYjNigtRlA2KC1GIzYmRltwRlhGZnJGOUZjcEZmcEZocEZbcS9GXnFGPUZYLUYsNiVRJSZwaTtGJy9GMEY9RjlGWC1GLDYlUSJuRidGL0YyRjlGX3FGOS1GIzYoLUZVNiRRIzMyRidGOUZYRlx0RlgtRmlvNiVGYHQtRlU2JFEiNUYnRjlGX3FGOUZmcEZocEZbcUZbdEY5">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNDM0dGKCwkKiwjIiUoPSMiI0siIiIsLComIiQyI0YzKSIiIyNGMyIiJEYzISIiIiRHJkYzKiYiJF8iRjMpRjgjRjhGOkYzRjsqKCwkKiZGNkYzXiNGM0YzRjNGM0Y3RjMpRjojRjNGOEYzRjsqKComRj5GM0ZERjNGM0Y/RjNGRUYzRjNGM0kjUGlHRiZGOylJIm5HRigiIiZGOy1JJGV4cEdGJTYjKigqJkZARjNGREYzRjNGSUYzRktGM0YzRjM3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4840" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Leading constant depends on n mod 3
evala(subs({x=c1[1],y=c1[2]},Sbar))^n/n^5*evala(add(simplify(subs(n=3*k,CCC*n^5)),CCC=[C1,C2,C3])) assuming k::integer;
evala(subs({x=c1[1],y=c1[2]},Sbar))^n/n^5*evala(add(expand(subs(n=3*k+1,CCC*n^5)),CCC=[C1,C2,C3])) assuming k::integer;
evala(subs({x=c1[1],y=c1[2]},Sbar))^n/n^5*evala(add(expand(subs(n=3*k+2,CCC*n^5)),CCC=[C1,C2,C3])) assuming k::integer;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkmbWZyYWNHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2KC1JJW1yb3dHRiQ2Ji1JI21uR0YkNiRRJzIxNjUxM0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0YyLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y7LyUpc3RyZXRjaHlHRjsvJSpzeW1tZXRyaWNHRjsvJShsYXJnZW9wR0Y7LyUubW92YWJsZWxpbWl0c0dGOy8lJ2FjY2VudEdGOy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkotSSVtc3VwR0YkNiUtSShtZmVuY2VkR0YkNiQtRiM2KC1GLDYmLUYvNiRRIjlGJ0YyRjUtRk42JS1GLzYkUSI0RidGMi1GIzYoLUYvNiRRIjFGJ0YyLUYvNiRRIjNGJ0YyLyUubGluZXRoaWNrbmVzc0dGXW8vJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGZW8vJSliZXZlbGxlZEdRJXRydWVGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGMkZmbkZhb0Zjb0Zmby9GaW9GO0YyLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR0Zqby9GM1EnaXRhbGljRidGW3BGMi1GLDYoLUYvNiRRIjJGJ0YyRjUtRk42JUZfcC1GLzYkUSI1RidGMkZbcEY1LUZgcDYlUSUmcGk7RicvRmRwRjtGMkYyRmFvRmNvRmZvRl5w">LCQqKiMiJzhsQCIiIyIiIiksJComIyIiKiIiJUYnKUYtI0YnIiIkRidGJ0kibkc2IkYnKUYxIiImISIiSSNQaUclKnByb3RlY3RlZEdGNUYn</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqLCMiKEYiZTgiIzsiIiIpLCQqJiMiIioiIiVGJylGLSNGJyIiJEYnRidJIm5HNiJGJylGMSIiJiEiIkkjUGlHJSpwcm90ZWN0ZWRHRjUpIiIjRi9GJ0Yn</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqLCMiJ2ZZNyIiIyIiIiksJComIyIiKiIiJUYnKUYtI0YnIiIkRidGJ0kibkc2IkYnKUYxIiImISIiSSNQaUclKnByb3RlY3RlZEdGNSlGJiNGJkYwRidGJw==</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L5013" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="true" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Numerically Check Constants</Text-field></Title><Presentation-Block>
<Group view="code" labelreference="L4937" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(gfun):</Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="true" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Code to Generate 2D Counting Sequences</Text-field></Title><Presentation-Block>
<Group view="code" labelreference="L4949" drawlabel="true">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Updates walk locations after one iteration
# Input: Current Locs, Place to Store New Locs, Step Set, and Bounds
 
Update2D := proc(Locations,NewLocations,Steps,max) local i,j,s;
 for i from 0 to max do
  for j from 0 to max do
   if type(Locations[i,j],integer) then
    for s in Steps do
     if (i+s[1])&lt;0 or (j+s[2])&lt;0 then ;
     elif type(NewLocations[i+s[1],j+s[2]],integer) then 
        NewLocations[i+s[1],j+s[2]] := NewLocations[i+s[1],j+s[2]]+Locations[i,j];      
     else 
        NewLocations[i+s[1],j+s[2]] := Locations[i,j] #Was previously zero
     end if;
    end do;
    end if;
  end do;
 end do;
end:

# Sums terms in a table
# Input: Table and Bounds
 
SumTab2D := proc(Table,max) local i,j,out;
 out := 0;
 for i from 0 to max do
  for j from 0 to max do
   if type(Table[i,j],integer) then out := out + Table[i,j]; 
 fi;od;od;
 return out;
end:

# Returns list with the number of walks up to length k
# Input: Step set (as list of lists) and number of steps
 
Count2D := proc(StepsT,k) local Steps,tt,Locations,NewLocations,F,Points,temp;
  Steps := eval(StepsT):
  Locations := 'Locations':
  Locations[0,0] := 1:   
  NewLocations := 'NewLocations':
  F := [1]:
 
  for temp from 1 to k do
    Update2D(Locations,NewLocations,Steps,temp-1);

    tt := SumTab2D(NewLocations,temp):
    F := [op(F),tt];

    Locations := copy(NewLocations):
    NewLocations := 'NewLocations':
  end do:

  return F: 
end:</Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Group labelreference="L4953" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4950" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ST1 := [[1,0], [-1,0], [0,-1], [-2, 1]];
ST2 := [[0,1],[1,-1],[-1,-1],[-2,1]];
ST3 := [ [0, 1], [1, -1], [-1,-1], [-2, 1], [-1, 0] ];
ST4 := [[1,0],[1,-1],[-2,1],[-2,0]];</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEkU1QxRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEpJkFzc2lnbjtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2Ji1GIzYsLUZQNiYtRiM2KC1JI21uR0YkNiRRIjFGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRictRlk2JFEiMEYnRjkvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRj1GOUY5LyUlb3BlbkdRJyZsc3FiO0YnLyUmY2xvc2VHUScmcnNxYjtGJ0Zmbi1GUDYmLUYjNigtRlk2JFErJnVtaW51czA7MUYnRjlGZm5GXm9GYW9GZG9GOUY5RmZvRmlvRmZuLUZQNiYtRiM2KEZeb0ZmbkZgcEZhb0Zkb0Y5RjlGZm9GaW9GZm4tRlA2Ji1GIzYoLUZZNiRRKyZ1bWludXMwOzJGJ0Y5RmZuRlhGYW9GZG9GOUY5RmZvRmlvRmFvRmRvRjlGOUZmb0Zpb0Y5">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRTVDFHRig3JjckIiIiIiIhNyQhIiJGMTckRjFGMzckISIjRjA3I0Yu</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRTVDJHRig3JjckIiIhIiIiNyRGMSEiIjckRjNGMzckISIjRjE3I0Yu</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRTVDNHRig3JzckIiIhIiIiNyRGMSEiIjckRjNGMzckISIjRjE3JEYzRjA3I0Yu</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRTVDRHRig3JjckIiIiIiIhNyRGMCEiIjckISIjRjA3JEY1RjE3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4946" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">#################
# MODEL 1
#################
LST1 := Count2D(ST1,500):</Text-field>
</Input>
</Group>
<Group view="code" labelreference="L5047" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">?rectoproc</Text-field>
</Input>
</Group>
<Group view="code" hide-input="false" labelreference="L4942" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">PR := rectoproc(listtorec(LST1,u(n))[1],u(n)):</Text-field>
</Input>
</Group>
<Group view="code" labelreference="L5048" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">PR := rectoproc(listtorec(LST1,u(n))[1],u(n),remember):</Text-field>
</Input>
</Group>
<Group view="code" hide-input="false" labelreference="L5014" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">seq(PR(n),n=0..10);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ni0iIiJGIyIiIyIiJSIiKiIjQCIjYCIkTSIiJGUkIiRjKiIlYkU=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4934" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ASM := (108*(45+26*sqrt(3)))*(2*sqrt(3))^n/(Pi*n^4) + (108*(-45+26*sqrt(3)))*(-2*sqrt(3))^n/(Pi*n^4);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRBU01HRigsJioqLCYiI1giIiIqJCIiJCNGMiIiIyIjRUYyKSwkRjNGNkkibkdGKEYySSNQaUdGJiEiIkY6ISIlIiQzIioqLCYhI1hGMkYzRjdGMiksJEYzISIjRjpGMkY7RjxGOkY9Rj43I0Yu</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4931" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># These should go to 1 (with quadratic speed in n)
evalf(2*PR(5000)/subs(n=5000,ASM) - PR(2500)/subs(n=2500,ASM));
evalf(2*PR(5002)/subs(n=5002,ASM) - PR(2501)/subs(n=2501,ASM));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEtMC45OTkyMzA0MjA2RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JCIrMVVJIyoqKiEjNQ==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEtMC45OTkyNTc1Mzg1RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JCIrJlF2RCoqKiEjNQ==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L5016" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">108*26*2;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFElNTYxNkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">IiU7Yw==</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L5015" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">108*90;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFElOTcyMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">IiU/KCo=</Equation></Text-field>
</Output>
</Group>
<Group view="code" labelreference="L5019" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">my own test</Text-field>
</Input>
</Group>
<Group view="code" labelreference="L5020" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">liste:=[seq(PR(n),n=1..5000)]:</Text-field>
</Input>
</Group>
<Group view="code" labelreference="L5059" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot([seq([1/n,liste[n]/(2*sqrt(3))^n*Pi*n^4],n=1..nops(liste))],x=0..0.02);</Text-field>
</Input>
<Output><Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400.0" type="two-dimensional" width="400.0" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">6*-%'CURVESG6$7dc^l7$$"#5!""$"+Fo**o!*!#57$$""&!""$"+7/ex$)!"*7$$"+LLLLL!#5$"+V"H'[C!")7$$"#D!"#$"+Y#[l-&!")7$$""#!""$"*t7gE)!"(7$$"+nmmm;!#5$"*3$y[7!"'7$$"+H9dG9!#5$"+VVa)o"!"(7$$"$D"!"$$"+8-h@A!"(7$$"+66666!#5$"+O)HKu#!"(7$$"""!""$"+$4K?N$!"(7$$"+"4444*!#6$"+dLBDR!"(7$$"+LLLL$)!#6$"+#G2Te%!"(7$$"+#p2Bp(!#6$"1*****\Q"=*=&!#87$$"+Vr&G9(!#6$")``ze!"&7$$"+nmmmm!#6$"*/%G-l!"'7$$"$D'!"%$"+/=*4@(!"(7$$"21++5%HN#)e!#=$"+"o19%y!"(7$$"+cbbbb!#6$"1*****4Xb!f&)!#87$$"+&*y:j_!#6$"+%[5+>*!"(7$$""&!"#$"+Z1$)4**!"(7$$"+iZ!>w%!#6$"+aei`5!"'7$$"+XXXXX!#6$"+KpLD6!"'7$$"+(3EyM%!#6$"+Xr;(="!"'7$$"+nmmmT!#6$"+zdDe7!"'7$$""%!"#$"+z+->8!"'7$$"+YQ:YQ!#6$"+QXB*Q"!"'7$$"+/Pq.P!#6$"+Dtv[9!"'7$$"+r&G9d$!#6$"+>%>z^"!"'7$$"+ieF[M!#6$"+<B3w:!"'7$$"+LLLLL!#6$"+y%oSk"!"'7$$"+_k!eA$!#6$"+^az+<!"'7$$"%DJ!"&$"+9H_n<!"'7$$"*....$!#5$"+y$pF#=!"'7$$"+rk<TH!#6$"+%*f=))=!"'7$$"+dG9dG!#6$"+u2$>%>!"'7$$"+yxxxF!#6$"+>u+1?!"'7$$"+.Fq-F!#6$"+\nCe?!"'7$$"+Z*y:j#!#6$"+M;(47#!"'7$$"+kD5kD!#6$"+fYrr@!"'7$$"#D!"$$"+=!*3LA!"'7$$"*RC!RC!#5$"+%RaBG#!"'7$$"+"Q_4Q#!#6$"+7#*QUB!"'7$$"+&R"eDB!#6$"+GD?!R#!"'7$$"+tsssA!#6$"+Lg"*[C!"'7$$"+AAAAA!#6$"+XyI&\#!"'7$$"+VI"R<#!#6$"+&eBFb#!"'7$$"+u&fw7#!#6$"+8zs(f#!"'7$$"+LLL$3#!#6$"*FtQl#!"&7$$"+Fj"3/#!#6$"+^k_(p#!"'7$$""#!"#$"+)\JCv#!"'7$$"+9Vyg>!#6$"+,8x%z#!"'7$$"+Bp2B>!#6$"+<zY[G!"'7$$"+`Cz')=!#6$"+vG`*)G!"'7$$"+_=&=&=!#6$"+dS0UH!"'7$$"+=====!#6$"+\H)=)H!"'7$$"+'G9dy"!#6$"+'GiK.$!"'7$$"+lfQa<!#6$"+\P*=2$!"'7$$"+Jz8C<!#6$"+6];AJ!"'7$$"+a_"\p"!#6$"+ZsjfJ!"'7$$"+nmmm;!#6$"+vS$)3K!"'7$$"+iUMR;!#6$"+HY=XK!"'7$$"+EK!Hh"!#6$").M$H$!"%7$$"+(e,te"!#6$"+**egGL!"'7$$"&Dc"!"'$"+QJvvL!"'7$$"+Q:YQ:!#6$"+&ep*4M!"'7$$"+:::::!#6$"+V/9cM!"'7$$"+8t`#\"!#6$"+CDM*[$!"'7$$"+N#)eq9!#6$"+u#oX`$!"'7$$"+i`F\9!#6$"+;(*ymN!"'7$$"+H9dG9!#6$"+*y+6h$!"'7$$"+/2X39!#6$"+FUPUO!"'7$$"+*))))))Q"!#6$"+i,!eo$!"'7$$"+9I')p8!#6$"+Fr:;P!"'7$$"+^8N^8!#6$"+\lseP!"'7$$"+LLLL8!#6$"+nu>)y$!"'7$$"+u%*y:8!#6$"+w!Q*HQ!"'7$$"+*H,()H"!#6$"*F_&eQ!"&7$$"+#G^?G"!#6$"+F3\**Q!"'7$$"+&yAeE"!#6$"+^lFFR!"'7$$"$D"!"%$"+#*)Qu'R!"'7$$"+,zcM7!#6$"*MBW*R!"&7$$"+&>7&>7!#6$"+*QMQ.%!"'7$$"+x#>[?"!#6$"+DP/gS!"'7$$"*>w/>"!#5$"+2vs)4%!"'7$$"+)eqk<"!#6$"+&*o=CT!"'7$$"+)p!zi6!#6$"+al;iT!"'7$$"+(GD%\6!#6$"+%>+p=%!"'7$$"+OOOO6!#6$"+F!)>CU!"'7$$"+1bfB6!#6$"*=H#[U!"&7$$"+66666!#6$"+[m'[G%!"'7$$"+*4,*)4"!#6$"+yw@3V!"'7$$"+Al&p3"!#6$"+Ya@WV!"'7$$"+<)o_2"!#6$"+Vy!pO%!"'7$$"+(yHQ1"!#6$"+,eG-W!"'7$$"+z:j_5!#6$"+B-MCW!"'7$$"+nmmT5!#6$"+2v6fW!"'7$$"+Ny#4."!#6$"+;Qb![%!"'7$$"+j"3/-"!#6$"+U)[Z^%!"'7$$"*,,,,"!#5$"+GheNX!"'7$$"""!"#$"+Hm@pX!"'7$$"+*4!*4!**!#7$"+RKZ*e%!"'7$$"+p:#R!)*!#7$"*FcDi%!"&7$$"+kyt3(*!#7$"+b)\Ak%!"'7$$"+:YQ:'*!#7$"+O=![n%!"'7$$"+C&4Q_*!#7$"+k$\Rp%!"'7$$"+kA'RV*!#7$"+-h)fs%!"'7$$"+$R%zX$*!#7$"+&*QgWZ!"'7$$"+f#f#f#*!#7$"+/19wZ!"'7$$"+F>Ju"*!#7$"+kVC%z%!"'7$$"+"4444*!#7$"+%p&HD[!"'7$$"+4!4!4!*!#7$"+J0!H%[!"'7$$"+H9dG*)!#7$"+"f![t[!"'7$$"+Avb\))!#7$"+X5g!*[!"'7$$"+D)H>x)!#7$"+@Ms?\!"'7$$"+u@l&p)!#7$"+$\tt$\!"'7$$"+b'*o?')!#7$"+w70n\!"'7$$"+Z&3qa)!#7$"+UWC$)\!"'7$$"+ridu%)!#7$"+[-\7]!"'7$$"1*****\MhLS)!#=$"+([R#G]!"'7$$"1,++LLLL$)!#=$"*Zlq0&!"&7$$"*"GYk#)!#6$"+)G$Qs]!"'7$$"+68s'>)!#7$"+l6!35&!"'7$$"+,83I")!#7$"+8'*p:^!"'7$$"1******Gh^k!)!#=$"+$o?P9&!"'7$$"")!"$$"+s8@e^!"'7$$"+Oz]Oz!#7$"+Gl%e=&!"'7$$"+[d,uy!#7$"+d1%**>&!"'7$$"&D"y!"($"+7/?F_!"'7$$"+%)z$>v(!#7$"+w(34C&!"'7$$"+#p2Bp(!#7$"*F.yE&!"&7$$"+'y(eLw!#7$"+#GO6G&!"'7$$"+wvvvv!#7$"+*HvwI&!"'7$$"+#*pz=v!#7$"*,V1K&!"&7$$"+nloiu!#7$"+**f$oM&!"'7$$"+2uS2u!#7$"+."[%f`!"'7$$"1*****f<THN(!#=$"+&=/`Q&!"'7$$"+t+F*H(!#7$"+W+d(R&!"'7$$"+7oPYs!#7$"+H!)4Ba!"'7$$"+/YC%>(!#7$"*oE]V&!"&7$$"+Vr&G9(!#7$"20++]2N-Y&!#87$$"2&*****>e)>#4(!#>$"+__$=Z&!"'7$$"+@NDUq!#7$"+zAt'\&!"'7$$"2&*****H*p+$*p!#>$"+9C,3b!"'7$$"+WWWWp!#7$"+DggKb!"'7$$"+C<b'*o!#7$"+jUdVb!"'7$$"+o]J\o!#7$"+P@(yc&!"'7$$"+)3@F!o!#7$"+ij`yb!"'7$$"+dnvcn!#7$"+Ffa-c!"'7$$"+'R49r'!#7$"+aP"Hh&!"'7$$"+nmmmm!#7$"+%>Umj&!"'7$$"+cl^Am!#7$"+()4sYc!"'7$$"+ot%*yl!#7$"+c_<qc!"'7$$"+7x%f`'!#7$"+N@(*zc!"'7$$"+%\1N\'!#7$"+f*eJq&!"'7$$"+.Hh^k!#7$"+D3o7d!"'7$$"21+++Tc-T'!#>$"+6ngNd!"'7$$"+_nUpj!#7$"1,++J-'[u&!#77$$"+CR6Hj!#7$"+"[Jvw&!"'7$$"+w"3$*G'!#7$"+<J_wd!"'7$$"$D'!"&$"+Pe%*)z&!"'7$$"+C,=6i!#7$"+T=o2e!"'7$$"+1&RG<'!#7$"+R>')He!"'7$$"+D$p\8'!#7$"+p$[$Qe!"'7$$"+w4c(4'!#7$"+p:Hge!"'7$$"+hgggg!#7$"+"HM&oe!"'7$$"+'Q'4Cg!#7$"+VhC!*e!"'7$$"+_R-))f!#7$"+V3D)*e!"'7$$"+_4Q_f!#7$"+Gnt>f!"'7$$"+j(fr"f!#7$"+9*3v#f!"'7$$"+THN#)e!#7$"+XSx[f!"'7$$"+;K&z%e!#7$"+b!>j&f!"'7$$"+)[`R"e!#7$"+)[ot(f!"'7$$"+@oM!y&!#7$"+1:p%)f!"'7$$"+Pk7Zd!#7$"+V,`0g!"'7$$"+9dG9d!#7$"+#>OE,'!"'7$$"+#===o&!#7$"+)yoK.'!"'7$$"+9vr\c!#7$"*ui,/'!"&7$$"+Gv(zh&!#7$"+7Rfgg!"'7$$"+z@f'e&!#7$"+(\!Gng!"'7$$"+cbbbb!#7$"+AZ^(3'!"'7$$"+y='[_&!#7$"+B&)*R4'!"'7$$"+%\0X\&!#7$"*:SS6'!"&7$$"+u3[ka!#7$"+HcK?h!"'7$$"+4EyMa!#7$"+w)y,9'!"'7$$"+0aS0a!#7$"+^.FYh!"'7$$"2/++g3WjP&!#>$"2&******>$Rf;'!#87$$"+$e$fZ`!#7$"+$*4%=<'!"'7$$"+O*[">`!#7$"+m'H8>'!"'7$$"+"H05H&!#7$"1,++9c/(>'!#77$$"+&*y:j_!#7$"+eyN;i!"'7$$"+%4-cB&!#7$"20++]/#*=A'!#87$$"+LLL3_!#7$"+>;.Ti!"'7$$"*:Z8=&!#6$"+"*yQYi!"'7$$"+v"RY:&!#7$"+a%e`E'!"'7$$"+G^?G^!#7$"*cS0F'!"&7$$"+;3/-^!#7$"+^cM*G'!"'7$$"+K@9w]!#7$"+FsN%H'!"'7$$"*0000&!#6$"+2.+8j!"'7$$"+Gc7D]!#7$"+')[%yJ'!"'7$$""&!"$$"+4$HjL'!"'7$$"+yV7v\!#7$"+Q.,Tj!"'7$$"*0&\]\!#6$"+n$R$fj!"'7$$"+u$3h#\!#7$"+*=gQO'!"'7$$"+%yg>!\!#7$"+/q.#Q'!"'7$$"*y[!y[!#6$"2&******p3S'Q'!#87$$"+K*oV&[!#7$"+h&GWS'!"'7$$"+uy"4$[!#7$"1******R'Q'3k!#77$$"+3Bp2[!#7$"20++]@?lU'!#87$$"2&*****\**)o%y%!#>$"+#fz0V'!"'7$$"+iZ!>w%!#7$"+xzJ[k!"'7$$"2/++I\O$RZ!#>$"+`'HAX'!"'7$$"+K6)pr%!#7$"+&pF)pk!"'7$$"+"oN[p%!#7$"+%e%ftk!"'7$$"+'>(*Gn%!#7$"+j]0"\'!"'7$$"+"zi6l%!#7$"+=+o%\'!"'7$$"*jH'HY!#6$"+Jc+7l!"'7$$"+J\H3Y!#7$"+=9\:l!"'7$$"+jf:(e%!#7$")[oKl!"%7$$"+Y+@mX!#7$"*6Mg`'!"&7$$"+XXXXX!#7$"*$y4`l!"&7$$"+yo)[_%!#7$"+)H8jb'!"'7$$"+/X]/X!#7$"+\)\Kd'!"'7$$"+L\I%[%!#7$"+NSLwl!"'7$$"+9dGkW!#7$"1*****4&e9$f'!#77$$"+WWWWW!#7$"+_75'f'!"'7$$"+h(yZU%!#7$"+22z7m!"'7$$"+WjG0W!#7$"*w>ch'!"&7$$"+7\'fQ%!#7$"+i"*=Km!"'7$$"+FA"oO%!#7$"+JU*[j'!"'7$$"+(3EyM%!#7$"*%eM^m!"&7$$"+HV+HV!#7$"+V#HRl'!"'7$$"+G[M5V!#7$"+f_Eqm!"'7$$"+%\X=H%!#7$"+Y#HFn'!"'7$$"+uU]tU!#7$"+8=&*)o'!"'7$$"+\">`D%!#7$"+)e)H"p'!"'7$$"+O")GPU!#7$"+&z4uq'!"'7$$"+$G4%>U!#7$"+.:k4n!"'7$$"+s1o,U!#7$"+%RVcs'!"'7$$"+=/5%=%!#7$"+E@wFn!"'7$$"+nmmmT!#7$"2&******)ocOu'!#87$$"+$fx$\T!#7$"+*[kcu'!"'7$$"+09BKT!#7$"+uOXhn!"'7$$"+PjA:T!#7$"+KDNjn!"'7$$"+c1O)4%!#7$"*BQ!zn!"&7$$"+`Ej"3%!#7$"1*****\4I3y'!#77$$"*lS]1%!#6$"+iTT'z'!"'7$$"+'*He[S!#7$"+N45)z'!"'7$$"+l!eA.%!#7$"+r^e8o!"'7$$"+dU1;S!#7$"+2(o^"o!"'7$$""%!"$$"*)[bIo!"&7$$"+XP1%)R!#7$"2&*****p)p.Ko!#87$$"+oRDoR!#7$"+DoKZo!"'7$$"*<pD&R!#6$"+t#4([o!"'7$$"+uy+PR!#7$"1*****HX/R'o!#77$$"+F'o:#R!#7$"+m*)=lo!"'7$$"'D1R!")$"+R6H!)o!"'7$$"+%e]5*Q!#7$"+8%z9)o!"'7$$"+#**of(Q!#7$"*=!\'*o!"&7$$"+hQ+hQ!#7$"1*****f&Qe(*o!#77$$"+YQ:YQ!#7$"+)y/D"p!"'7$$"+DwTJQ!#7$"+&[0N"p!"'7$$"+$*Qz;Q!#7$"+;"Q$Gp!"'7$$"+p8G-Q!#7$"+,uCHp!"'7$$"+)yyyy$!#7$"+KK*R%p!"'7$$"+1\etP!#7$"+^E"[%p!"'7$$"+'\)RfP!#7$"+WJZfp!"'7$$"+_$=`u$!#7$"+&>/-'p!"'7$$"+%GV8t$!#7$"*z!yup!"&7$$"+>@Z<P!#7$"*&\Uvp!"&7$$"+/Pq.P!#7$"+Q!>**)p!"'7$$")p.!p$!#5$"+XxZ!*p!"'7$$"+)eqkn$!#7$"+.2*[+(!"'7$$"+jO+jO!#7$"+h`O0q!"'7$$"+O]j\O!#7$"1*****R_)p>q!#77$$"+OOOOO!#7$"1*****z]!4?q!#77$$"+1%)=BO!#7$"+#>XV.(!"'7$$"+.$3,h$!#7$"+_elMq!"'7$$"+-B7(f$!#7$"+JL$)[q!"'7$$"+"RHUe$!#7$"+$)R1\q!"'7$$"+r&G9d$!#7$"+>b;jq!"'7$$"+h)=(eN!#7$"+[uJjq!"'7$$"+"H*4YN!#7$"+hUMxq!"'7$$"+0*oN`$!#7$"+L(=u2(!"'7$$"+hn7@N!#7$"+H?P"4(!"'7$$"*$>x3N!#6$"+r-P"4(!"'7$$"+'\.l\$!#7$"+C7D0r!"'7$$"+d0K%[$!#7$"+^W<0r!"'7$$"+AAAsM!#7$"+.U)*=r!"'7$$"+7w?gM!#7$"+&fL)=r!"'7$$"+ieF[M!#7$"+"GtD8(!"'7$$"+<hUOM!#7$"***\B8(!"&7$$"+MvlCM!#7$"+92-Yr!"'7$$"+$GpHT$!#7$"+xesXr!"'7$$"+W0O,M!#7$"+6(G$fr!"'7$$"+30$)*Q$!#7$"+QM'*er!"'7$$"+y$y$yL!#7$"+V%*\sr!"'7$$"+nL+nL!#7$"+B[1sr!"'7$$"+)p/dN$!#7$"+K]`&=(!"'7$$"+0;[WL!#7$"+@@.&=(!"'7$$"+LLLLL!#7$"*bP%)>(!"&7$$"+O"fAK$!#7$"+*Rny>(!"'7$$"+y#e7J$!#7$"1******Q!47@(!#77$$"+L+L+L!#7$"+nEd5s!"'7$$"+%ot%*G$!#7$"+*[^QA(!"'7$$"+D&)oyK!#7$"1*****>*)\JA(!#77$$"+cQ(zE$!#7$"+coOOs!"'7$$"***GtD$!#6$"+>5gNs!"'7$$"+ZKvYK!#7$"+bqv[s!"'7$$"+bfCOK!#7$"+Nz#zC(!"'7$$"+_k!eA$!#7$"1*****p&R-hs!#77$$"+%3Ma@$!#7$"+-D8gs!"'7$$"+0#G^?$!#7$"+/%pJF(!"'7$$"+z"))[>$!#7$"+Nl@ss!"'7$$"+wLr%=$!#7$"+,_>&G(!"'7$$"+vJguJ!#7$"+;==%G(!"'7$$"+ipbkJ!#7$"*6.rH(!"&7$$"+KTdaJ!#7$"+,,.'H(!"'7$$"+)3aY9$!#7$"+k[*)3t!"'7$$"+QizMJ!#7$")Jw2t!"%7$$"%DJ!"'$"+h@d?t!"'7$$"+)zk_6$!#7$"+)\#Q>t!"'7$$"+i+f0J!#7$"1*****zmO@L(!#77$$"+K_(f4$!#7$"+M**)3L(!"'7$$"+`(>k3$!#7$"+8+fVt!"'7$$"+xI#p2$!#7$"1*****\.(GUt!#77$$"+jY[nI!#7$"+-Q$\N(!"'7$$"+wR5eI!#7$"+%QvNN(!"'7$$"+)[!y[I!#7$"+/'phO(!"'7$$"+yO^RI!#7$"1*****>`cZO(!#77$$"*....$!#6$"+d*)Hxt!"'7$$"+O![6-$!#7$"1*****z+KeP(!#77$$"+$>[?,$!#7$"+xLK)Q(!"'7$$"+.I+.I!#7$"+.L!oQ(!"'7$$"+w>,%*H!#7$"+UVC*R(!"'7$$"+FY2&)H!#7$"+(*=n(R(!"'7$$"+w/>wH!#7$"+7L15u!"'7$$"*0ft'H!#6$"+@#R%3u!"'7$$"+#))z&eH!#7$"+4<y?u!"'7$$"+2D&)\H!#7$"+'p1">u!"'7$$"+rk<TH!#7$"2&******R4SJu!#87$$"*K^D$H!#6$"+.dnHu!"'7$$"+3m(R#H!#7$"+vB#>W(!"'7$$"+&*=X:H!#7$"1*****zgZ,W(!#77$$"+Wn(p!H!#7$"+ntM_u!"'7$$"+D2b)*G!#7$"+XP_]u!"'7$$"*Tt,*G!#6$"1*****4CxEY(!#77$$"*QW=)G!#6$"+Oa!3Y(!"'7$$"+=KctG!#7$"+&H8HZ(!"'7$$"+8&H`'G!#7$"+eR*4Z(!"'7$$"+dG9dG!#7$"+1o0$[(!"'7$$"+\G+\G!#7$"+"e!4"[(!"'7$$"+"444%G!#7$"+L!4J\(!"'7$$"*>hG$G!#6$"+Xl4"\(!"'7$$"+d(e[#G!#7$"+*>rI](!"'7$$"+39!p"G!#7$"+uI,,v!"'7$$"+k())*3G!#7$"1*****4_WH^(!#77$$"+[/7,G!#7$"+m8%3^(!"'7$$"+*3'H$z#!#7$"+$=IF_(!"'7$$"*K:by#!#6$"+*e#e?v!"'7$$"+yxxxF!#7$"+^$HC`(!"'7$$"+-J3qF!#7$"2&******3zBIv!#87$$"+R4ViF!#7$"+uJ/Uv!"'7$$"+P4#[v#!#7$"1*****HY3)Rv!#77$$"+ZFDZF!#7$"1*****4xs:b(!#77$$"+FgsRF!#7$"+c`H\v!"'7$$"+P/CKF!#7$"+a#>5c(!"'7$$"*k&zCF!#6$"+#p*pev!"'7$$"+/8R<F!#7$"+6PQqv!"'7$$")r-5F!#5$"+UD-ov!"'7$$"+.Fq-F!#7$"+-smzv!"'7$$"*z<ap#!#6$"+v\Exv!"'7$$"+V?<)o#!#7$"1******z2())e(!#77$$"+Z^'4o#!#7$"+<!Gke(!"'7$$"+"z'ztE!#7$"*[&*zf(!"&7$$"+nmmmE!#7$"20++!)p7bf(!#87$$"+oWdfE!#7$"+3B/2w!"'7$$"+%*)>Dl#!#7$"1*****z,?Xg(!#77$$"+YE]XE!#7$"+iA,;w!"'7$$"+FC_QE!#7$"1*****z'4X8w!#77$$"+Z*y:j#!#7$"+Gj!\i(!"'7$$"+;>nCE!#7$"+<lIAw!"'7$$"+Z5!yh#!#7$"20++qXDPj(!#87$$"+dg'4h#!#7$"+Aw3Jw!"'7$$"+nm;/E!#7$"+01ZUw!"'7$$"+(f-uf#!#7$"*A&zRw!"&7$$"+vNn!f#!#7$"20++]pU6l(!#87$$"+G$zRe#!#7$"1*****HAI%[w!#77$$"+)e>td#!#7$"1*****pkU(fw!#77$$"+(3%pqD!#7$"+`N*pl(!"'7$$"+kD5kD!#7$"+e8Fow!"'7$$"+dZadD!#7$"+&4'[lw!"'7$$"+3/-^D!#7$"+8(Hnn(!"'7$$"+i#HXa#!#7$"+F(3Rn(!"'7$$"+m52QD!#7$"+z&=^o(!"'7$$"*dX;`#!#6$"+7BE#o(!"'7$$"+DDDDD!#7$"+<)QMp(!"'7$$"+)o"*)=D!#7$"1*****\pZ0p(!#77$$"+9Gc7D!#7$"+m7p,x!"'7$$"+kcE1D!#7$"+8dw)p(!"'7$$"#D!"%$"+_n()4x!"'7$$"+'elP\#!#7$"+$=<pq(!"'7$$"+*=iv[#!#7$"+"4'*zr(!"'7$$"+y&*Q"[#!#7$"1*****4#H+:x!#77$$"+DvCvC!#7$"+&3]gs(!"'7$$"+-e8pC!#7$"+;P-Bx!"'7$$"+(=aIY#!#7$"*_RSt(!"&7$$"+dC+dC!#7$"+_.)4t(!"'7$$"+#R!)4X#!#7$"+u^'>u(!"'7$$"+vx)\W#!#7$"+*et)Qx!"'7$$"*RC!RC!#6$"+2y#)\x!"'7$$"+C+4LC!#7$"+-UqYx!"'7$$"+mW=FC!#7$"+v"Gwv(!"'7$$"+1vI@C!#7$"+>HZax!"'7$$"+P*eaT#!#7$"+6qOlx!"'7$$"+a&Q'4C!#7$"+&[!=ix!"'7$$"+ah%QS#!#7$"+Z]/tx!"'7$$"+N:3)R#!#7$"+9w#)px!"'7$$"+)\WBR#!#7$"+)*Hm!y(!"'7$$"+X[j'Q#!#7$"2&*****>,:ux(!#87$$"+"Q_4Q#!#7$"1******o:A)y(!#77$$"+7pHvB!#7$"+$RV\y(!"'7$$"+Y#o'pB!#7$"*X@dz(!"&7$$"+%>mSO#!#7$"1*****pV8Cz(!#77$$"+m0\eB!#7$"1******HL;.y!#77$$"+w6%HN#!#7$"1*****z"e#)*z(!#77$$"*%yTZB!#6$"+wya5y!"'7$$"+v.#>M#!#7$"1*****f?"=2y!#77$$"+)f[kL#!#7$"+ad(y"y!"'7$$"+JB+JB!#7$"*E![9y!"&7$$"+&R"eDB!#7$"+6w9Dy!"'7$$"+:c=?B!#7$"*iB<#y!"&7$$"+:["[J#!#7$"20++S4kB$y!#87$$"+A)o%4B!#7$"+O>"*Gy!"'7$$"+lu9/B!#7$"1*****>$e_Ry!#77$$"+v0&))H#!#7$"+@e/Oy!"'7$$"+#)zd$H#!#7$"1******\MjYy!#77$$"+>&H$)G#!#7$"1*****4!f7Vy!#77$$"+B]5$G#!#7$"*c(o`y!"&7$$"+GV!zF#!#7$"+"y_,&y!"'7$$"+tsssA!#7$"+j()ogy!"'7$$"+'ptvE#!#7$"+fq7dy!"'7$$"+RMWiA!#7$"+awjny!"'7$$"+VjLdA!#7$"2&******G$\S'y!#87$$"+_AD_A!#7$"+B[`uy!"'7$$"+65>ZA!#7$"+r,#4(y!"'7$$"+mC:UA!#7$"1*****R%3Q")y!#77$$"+lk8PA!#7$"+`,uxy!"'7$$"+dG9KA!#7$"+)Gw"))y!"'7$$"+#\rrA#!#7$"+X)4X)y!"'7$$"+AAAAA!#7$"+6<#\*y!"'7$$")\H<A!#5$"+.)H7*y!"'7$$"+"Q*Q7A!#7$"+nwh,z!"'7$$"+>b]2A!#7$"+r0!z*y!"'7$$"+sJk-A!#7$"1******)pk#3z!#77$$"+)>-y>#!#7$"+(oAX!z!"'7$$"+cC)H>#!#7$"1*****RMj["z!#77$$"+2Q=)=#!#7$"*p'46z!"&7$$"+9hS$=#!#7$"2&*****4899#z!#87$$"+P#\'y@!#7$"+)4Bw"z!"'7$$"+VI"R<#!#7$"+wv"z#z!"'7$$"+(R(>p@!#7$"+KC5Cz!"'7$$"+k@]k@!#7$"+$>uV$z!"'7$$"+9s#)f@!#7$"+)>N0$z!"'7$$"+9C<b@!#7$"1*****H\%ySz!#77$$"+Mw`]@!#7$"+)*=#p$z!"'7$$"+ZF#f9#!#7$"1*****p'*[r%z!#77$$"+BwKT@!#7$"*-jK%z!"&7$$"+P@vO@!#7$"+3"oM&z!"'7$$"+ih>K@!#7$"+m!f&\z!"'7$$"+u&fw7#!#7$"+.Cufz!"'7$$"+^A9B@!#7$"+.0"e&z!"'7$$"+oSk=@!#7$"1*****fKsf'z!#77$$"+0\;9@!#7$"+6y,iz!"'7$$"+TYq4@!#7$"+X$e@(z!"'7$$"+eJE0@!#7$"+c9=oz!"'7$$"+O.%35#!#7$"+G4Iyz!"'7$$"+fgV'4#!#7$"1*****p*=Iuz!#77$$"+4-0#4#!#7$"1*****4`+W)z!#77$$"+sEo(3#!#7$"+"fz.)z!"'7$$"+LLL$3#!#7$"+2wX!*z!"'7$$"+z?+z?!#7$"+$)\T')z!"'7$$"+(z)ou?!#7$"+%fsk*z!"'7$$"+vLRq?!#7$"+4&3C*z!"'7$$"+-d6m?!#7$"+PfW-!)!"'7$$"*nb=1#!#6$"+:1O)*z!"'7$$"+pJhd?!#7$"+i!y$3!)!"'7$$"*4)Q`?!#6$"+D<F/!)!"'7$$"+G.=\?!#7$"+-%pU,)!"'7$$"+v(*)\/#!#7$"+fA95!)!"'7$$"+Fj"3/#!#7$"+r.7?!)!"'7$$"+y)fm.#!#7$"+TE(f,)!"'7$$"+D._K?!#7$"+(QJf-)!"'7$$"+mvRG?!#7$"+zKw@!)!"'7$$"+)\"HC?!#7$"1******fGqJ!)!#77$$"*----#!#6$"1*****\d9v-)!#77$$"+K!Hh,#!#7$"+*=Nu.)!"'7$$"+NC27?!#7$"+LpAL!)!"'7$$"+H@.3?!#7$"+w(GJ/)!"'7$$"+;!3S+#!#7$"+b2!*Q!)!"'7$$""#!"$$"+9Sy[!)!"'7$$"+%)z+'*>!#7$"1*****pTOX/)!#77$$"+s=.#*>!#7$"+&G,W0)!"'7$$"+r:2))>!#7$"1*****\JM,0)!#77$$"+%)p7%)>!#7$"1*****p(4)*f!)!#77$$"*-)>!)>!#6$"+D[pb!)!"'7$$"+&e%Gw>!#7$"+fM_l!)!"'7$$"+)e'Qs>!#7$"1*****HK=71)!#77$$"+PR]o>!#7$"+8"H52)!"'7$$"+Uljk>!#7$"+o^qm!)!"'7$$"+9Vyg>!#7$"+'H)\w!)!"'7$$"+ir%p&>!#7$"*ub@2)!"&7$$"(DJ&>!"*$"+z8$>3)!"'7$$"+RxJ\>!#7$"+)Qqv2)!"'7$$"+#HDb%>!#7$"*rGt3)!"&7$$"+tvuT>!#7$"+m%\H3)!"'7$$"+'\%)z$>!#7$"+\1p#4)!"'7$$"+xfBM>!#7$"+LLH)3)!"'7$$"*$>]I>!#6$"+Vv,)4)!"'7$$"+uAyE>!#7$"+DBg$4)!"'7$$"+Bp2B>!#7$"1*****4t4L5)!#77$$"+(z&Q>>!#7$"+#zw))4)!"'7$$"+7)3d">!#7$"1*****Rbn&3")!#77$$"+*)e/7>!#7$"*1<T5)!"&7$$"+ZpR3>!#7$"+Z8z8")!"'7$$"+0>w/>!#7$"+rMK4")!"'7$$"+%oS6!>!#7$"+T9)*=")!"'7$$"+2K`(*=!#7$"+Zj\9")!"'7$$"+%RRR*=!#7$"+e"QT7)!"'7$$"+o"f.*=!#7$"+9gj>")!"'7$$"+`Cz')=!#7$"+D=EH")!"'7$$"+r"RK)=!#7$"1*****HzUZ7)!#77$$"+[#*pz=!#7$"+dFNM")!"'7$$"+3E<w=!#7$"1*****\*p")H")!#77$$"+w"fE(=!#7$"+l7TR")!"'7$$"+y)e"p=!#7$"*%*e[8)!"&7$$"+U;nl=!#7$"+iwVW")!"'7$$"+$R(>i=!#7$"+A*o)R")!"'7$$"+fgte=!#7$"+^AV\")!"'7$$"*d(Gb=!#6$"+es%[9)!"'7$$"+_=&=&=!#7$"+O`Ra")!"'7$$"+N)G%[=!#7$"+RUz\")!"'7$$"*X=]%=!#6$"+;sKf")!"'7$$"+E1iT=!#7$"1*****>;5Z:)!#77$$"+%HN#Q=!#7$"+z"GU;)!"'7$$"+&Qi[$=!#7$"+C`ff")!"'7$$"+K=]J=!#7$"+@&)4p")!"'7$$"+lN:G=!#7$"+.+Xk")!"'7$$"+=v"[#=!#7$"+F&QR<)!"'7$$"+DO\@=!#7$"1******)\u#p")!#77$$"+=====!#7$"+#[[(y")!"'7$$"+L?)["=!#7$"+$3pS<)!"'7$$"+.Uf6=!#7$"*mGN=)!"&7$$"+k#=$3=!#7$"*/M)y")!"&7$$"+_T00=!#7$"+X$z#)=)!"'7$$"+-=!=!=!#7$"2&*****RjpN=)!#87$$"+^6c)z"!#7$"+/3+$>)!"'7$$"+O@L&z"!#7$"2&*****R9w#)=)!#87$$"+&p9@z"!#7$"+1Lp(>)!"'7$$"+m(3*)y"!#7$"+OQ&H>)!"'7$$"+'G9dy"!#7$"+BrN-#)!"'7$$"+%>JDy"!#7$"+sHg(>)!"'7$$"+J%f$z<!#7$"+7D*p?)!"'7$$"+M*)>w<!#7$"1******=QA-#)!#77$$"+X'\Ix"!#7$"+O(*f6#)!"'7$$"+/:"*p<!#7$"+Jm"o?)!"'7$$"+_Wym<!#7$"1******\!zh@)!#77$$"*VoOw"!#6$"+k;Q6#)!"'7$$"*Qj0w"!#6$"+12t?#)!"'7$$"+W#puv"!#7$"+l">f@)!"'7$$"+lfQa<!#7$"+d\DD#)!"'7$$"+&[88v"!#7$"+$RH/A)!"'7$$"+[<D[<!#7$"+`?vH#)!"'7$$"+)p+_u"!#7$"+#e7\A)!"'7$$"+z-;U<!#7$"+KAAM#)!"'7$$"+N/8R<!#7$"+%)*o$H#)!"'7$$"+666O<!#7$"+QdmQ#)!"'7$$"+`A5L<!#7$"+P))zL#)!"'7$$"+1Q5I<!#7$"+6G3V#)!"'7$$"+<d6F<!#7$"+vB?Q#)!"'7$$"+Jz8C<!#7$"+$otuC)!"'7$$"+'Rq6s"!#7$"+L)zDC)!"'7$$"+eI@=<!#7$"*fQ=D)!"&7$$"+meE:<!#7$"+X9$pC)!"'7$$"+n(GBr"!#7$"+kx<c#)!"'7$$"+4<S4<!#7$"+QuD^#)!"'7$$"+UY[1<!#7$"+D9\g#)!"'7$$"+8vd.<!#7$"+O!ebD)!"'7$$"+s-o+<!#7$"+1)zZE)!"'7$$"+pGz(p"!#7$"+nM$)f#)!"'7$$"+a_"\p"!#7$"+EJ/p#)!"'7$$"+xt/#p"!#7$"*&R3k#)!"&7$$"+*=*=*o"!#7$"+.;Gt#)!"'7$$"+T1M'o"!#7$"+-(4$o#)!"'7$$"+%o,No"!#7$"+ca\x#)!"'7$$"+pAn!o"!#7$"+N4^s#)!"'7$$"+\B&yn"!#7$"+&*[o"G)!"'7$$"+w=/v;!#7$"+ryow#)!"'7$$"+.3Cs;!#7$"+Q,&eG)!"'7$$"+#3\%p;!#7$"+92%3G)!"'7$$"+nmmm;!#7$"+#R"***G)!"'7$$"+6N*Qm"!#7$"+u'p\G)!"'7$$"+o&H6m"!#7$"+k)3TH)!"'7$$"+$zu$e;!#7$"+e\2*G)!"'7$$"+R"Hcl"!#7$"+eF?)H)!"'7$$"+iD*Gl"!#7$"+pn:$H)!"'7$$"+;];];!#7$"+yKF-$)!"'7$$"+ekWZ;!#7$"+1`@(H)!"'7$$"+UotW;!#7$"1*****4i?jI)!#77$$"+Dh.U;!#7$"+n2D,$)!"'7$$"+iUMR;!#7$"+))\M5$)!"'7$$"+67mO;!#7$"+dLE0$)!"'7$$"+Gp)Rj"!#7$"1*****HdYVJ)!#77$$"*P@8j"!#6$"+iKD4$)!"'7$$"+&\k'G;!#7$"*dD$=$)!"&7$$"*E;gi"!#6$"+t1A8$)!"'7$$"+BmPB;!#7$"*<#GA$)!"&7$$"+Vbu?;!#7$"*zlrJ)!"&7$$"+xH7=;!#7$"+fl@E$)!"'7$$"+&))3bh"!#7$"1*****Hz)3@$)!#77$$"+EK!Hh"!#7$"+H*G,L)!"'7$$"+efI5;!#7$"+n)*)\K)!"'7$$"+Uqr2;!#7$"+i%>SL)!"'7$$"+Pk80;!#7$"+)>p)G$)!"'7$$"+.Tc-;!#7$"+R$))yL)!"'7$$"#;!"%$"+ppsK$)!"'7$$"+*3Wuf"!#7$"+TdtT$)!"'7$$"+Kj*[f"!#7$"1*****fNjlL)!#77$$"+)ocBf"!#7$"1*****>&=cX$)!#77$$"+>^#)*e"!#7$"+Q&y.M)!"'7$$"+(e,te"!#7$"+VoO\$)!"'7$$"+agy%e"!#7$"+&psTM)!"'7$$"+"[yAe"!#7$"+))3:`$)!"'7$$"+J)y(z:!#7$"+%*f%zM)!"'7$$"+mqGx:!#7$"+kT"pN)!"'7$$"*:.[d"!#6$"+6')p^$)!"'7$$"+WqKs:!#7$"+Tolg$)!"'7$$"+8(e)p:!#7$"+>2Vb$)!"'7$$"+>")Rn:!#7$"+)3zVO)!"'7$$"+F_%\c"!#7$"+wC9f$)!"'7$$"&Dc"!"($"+o53o$)!"'7$$"+-C1g:!#7$"+cS$GO)!"'7$$"+*RKwb"!#7$"+\Hwr$)!"'7$$"+`*4_b"!#7$"+Cc]m$)!"'7$$"+J]z_:!#7$"+**[Uv$)!"'7$$"+(f(Q]:!#7$"+Nt:q$)!"'7$$"+;w)za"!#7$"+tq1z$)!"'7$$"+a]fX:!#7$"+f$*yt$)!"'7$$"+x)4Ka"!#7$"+M'*o#Q)!"'7$$"+\?$3a"!#7$"+\=Sx$)!"'7$$"+Q:YQ:!#7$"+RFH'Q)!"'7$$"*J)4O:!#6$"+i\*4Q)!"'7$$"+JBuL:!#7$"+Yl()*Q)!"'7$$"+oNRJ:!#7$"+h)oXQ)!"'7$$"+))>0H:!#7$"*@TMR)!"&7$$"+dvrE:!#7$"+%pB")Q)!"'7$$"+W-RC:!#7$"+%)o)pR)!"'7$$"+:+2A:!#7$"+8'f;R)!"'7$$"+Rov>:!#7$"+@P^+%)!"'7$$"+$o]u^"!#7$"+un<&R)!"'7$$"+:::::!#7$"1*****\'=-/%)!#77$$"+/$fG^"!#7$"+;`n)R)!"'7$$"+=Sd5:!#7$"1*****RZ6vS)!#77$$"+EcH3:!#7$")a:-%)!"%7$$"+'4Cg]"!#7$"+'o#)4T)!"'7$$"+)RfP]"!#7$"1*****H;<cS)!#77$$"+-:],:!#7$"+^cV9%)!"'7$$"+v.D*\"!#7$"+_214%)!"'7$$"+))f+(\"!#7$"1,++60(yT)!#77$$"+6$oZ\"!#7$"+3j[7%)!"'7$$"+8t`#\"!#7$"1,++6uG@%)!#77$$"+mHJ!\"!#7$"+yR*eT)!"'7$$"+Q_4)["!#7$"+*['oC%)!"'7$$"+,T)e["!#7$"+$*QG>%)!"'7$$"+D&zO["!#7$"+#)y1G%)!"'7$$"+"["["["!#7$"+0ilA%)!"'7$$"+T**Gz9!#7$"+L<VJ%)!"'7$$"+u[5x9!#7$"+M5,E%)!"'7$$"+ai#\Z"!#7$"+x"yZV)!"'7$$"*0aFZ"!#6$"+J&[$H%)!"'7$$"+N#)eq9!#7$"1,++Zt5Q%)!#77$$"+"yG%o9!#7$"+C)oEV)!"'7$$"*mviY"!#6$"+"Q>9W)!"'7$$"+V)GTY"!#7$"+T?(fV)!"'7$$"+/$))>Y"!#7$"+1WrW%)!"'7$$"+:S&)f9!#7$"+>$e#R%)!"'7$$"+[fsd9!#7$"+aD*zW)!"'7$$"+wSgb9!#7$"+%zFDW)!"'7$$"+s$)[`9!#7$"1,++eRD^%)!#77$$"*")y8X"!#6$"1******z0yX%)!#77$$"+i`F\9!#7$"+U()\a%)!"'7$$"+.!yrW"!#7$"+>o,\%)!"'7$$"+0n3X9!#7$"+Lqsd%)!"'7$$"+V9+V9!#7$"*jOAX)!"&7$$"*>A4W"!#6$"*'*Q4Y)!"&7$$"+@*[)Q9!#7$"1)*****Q,Wb%)!#77$$"+4;yO9!#7$"+[Y8k%)!"'7$$"*B?ZV"!#6$"*ZF'e%)!"&7$$"+cZmK9!#7$"+8UJn%)!"'7$$"+l^hI9!#7$"+W()zh%)!"'7$$"+H9dG9!#7$"1*****Ryx/Z)!#77$$"+CN`E9!#7$"+'3a\Y)!"'7$$"+C9]C9!#7$"+"[DOZ)!"'7$$"+2^ZA9!#7$"+4O4o%)!"'7$$"+XXX?9!#7$"+>uvw%)!"'7$$"+;(R%=9!#7$"*W<7Z)!"&7$$"+&fIkT"!#7$"+>P()z%)!"'7$$"+drU99!#7$"+(pDVZ)!"'7$$"+z$HCT"!#7$"+*\uH[)!"'7$$"+OsV59!#7$"+%[=uZ)!"'7$$"+/2X39!#7$"+t)fg[)!"'7$$"+h(pkS"!#7$"+Kf\![)!"'7$$"+#Q%\/9!#7$"+a*H"*[)!"'7$$"+WX_-9!#7$"1*****R9eN[)!#77$$"+C-c+9!#7$"*'[=#\)!"&7$$"+*R,')R"!#7$"1*****\B0m[)!#77$$"+X![mR"!#7$"+.ZA&\)!"'7$$"+R,q%R"!#7$"1,++=tj*[)!#77$$"*mdFR"!#6$"+*e\#)\)!"'7$$"+%e?3R"!#7$"+3Xl#\)!"'7$$"+*))))))Q"!#7$"+L'f7])!"'7$$"+_D'pQ"!#7$"1*****H"pl&\)!#77$$"+^:/&Q"!#7$"+Z\D/&)!"'7$$"+ke7$Q"!#7$"+LYk)\)!"'7$$"*Z:7Q"!#6$"+JcB2&)!"'7$$"+X.Jz8!#7$"1*****fy<;])!#77$$"+o/Tx8!#7$"+(z,-^)!"'7$$"+=e^v8!#7$"+vkd/&)!"'7$$"+ujit8!#7$"1******[N:8&)!#77$$"+7@ur8!#7$"+03_2&)!"'7$$"+9I')p8!#7$"1*****\*44;&)!#77$$"+c!*)zO"!#7$"+$)3X5&)!"'7$$"+>-7m8!#7$"+QU,>&)!"'7$$"*[cUO"!#6$"+.oO8&)!"'7$$"*#yRi8!#6$"+xL#>_)!"'7$$"+=Uag8!#7$"+z'oi^)!"'7$$"+_cpe8!#7$"+=&=[_)!"'7$$"+.@&oN"!#7$"+4m:>&)!"'7$$"*b8]N"!#6$"+h(*pF&)!"'7$$"+t*zJN"!#7$"*pI?_)!"&7$$"+^8N^8!#7$"+4scI&)!"'7$$"+lw_\8!#7$"1,++E5*[_)!#77$$"+&*)3xM"!#7$"+`4UL&)!"'7$$"*-&*eM"!#6$"*rPx_)!"&7$$"+Ag3W8!#7$"1*****p4hi`)!#77$$"+z=GU8!#7$"*&3dI&)!"&7$$"+uD[S8!#7$"1******Qx3R&)!#77$$"+'3)oQ8!#7$"+G0RL&)!"'7$$"+'R)*oL"!#7$"+t4!>a)!"'7$$"+&[8^L"!#7$"+`o>O&)!"'7$$"+LLLL8!#7$"+&*3qW&)!"'7$$"+BzbJ8!#7$"1*****f!**)*Q&)!#77$$"+MsyH8!#7$"+)f([Z&)!"'7$$"+[7-G8!#7$"+(zp<a)!"'7$$"+Z*fiK"!#7$"+v6E]&)!"'7$$"+6L]C8!#7$"+7m`W&)!"'7$$"+B8vA8!#7$"+C<-`&)!"'7$$"+jR+@8!#7$"+Q/HZ&)!"'7$$"+97E>8!#7$"1******G$pdb)!#77$$"+dI_<8!#7$"+o8.]&)!"'7$$"+u%*y:8!#7$"+*3/&e&)!"'7$$"+Z/198!#7$")&fFb)!"%7$$"+efL78!#7$"+(3E7c)!"'7$$"**fh58!#6$"+@\Zb&)!"'7$$"+C0!*38!#7$"+:a$Rc)!"'7$$"+U&*=28!#7$"+7x<e&)!"'7$$"+HI[08!#7$"+i@jm&)!"'7$$"+l4y.8!#7$"+sz'3c)!"'7$$"+LL3-8!#7$"+9kJp&)!"'7$$"+<,R+8!#7$"+xdaj&)!"'7$$"+*H,()H"!#7$"*E))>d)!"&7$$"+ho,(H"!#7$"1*****RA6ic)!#77$$"+)yO`H"!#7$"+)yZYd)!"'7$$"+h5m$H"!#7$"1*******Qk)o&)!#77$$"+k'*)>H"!#7$"1*****f2&Hx&)!#77$$"+"eA.H"!#7$"+n`]r&)!"'7$$"+%zf')G"!#7$"+7-$*z&)!"'7$$"+(G,qG"!#7$"+PU8u&)!"'7$$"+WqM&G"!#7$"+#G`De)!"'7$$"+Zqp$G"!#7$"+w5vw&)!"'7$$"+#G^?G"!#7$"+jV;&e)!"'7$$"+J(4/G"!#7$"+rfNz&)!"'7$$"+zBxy7!#7$"+WNw(e)!"'7$$"+3#RrF"!#7$"*,\>e)!"&7$$"+/-^v7!#7$"+.4N!f)!"'7$$"*N&)QF"!#6$"+n-`%e)!"'7$$"+JYEs7!#7$"+Al#Hf)!"'7$$"*.[1F"!#6$"+@)*4(e)!"'7$$"+Lb.p7!#7$"+x/\&f)!"'7$$"+BrUn7!#7$"+dxl*e)!"'7$$"+&yAeE"!#7$"+^G/)f)!"'7$$"+.DAk7!#7$"+^T?#f)!"'7$$"+jiii7!#7$"+@Pe+')!"'7$$"+[S.h7!#7$"+"3RZf)!"'7$$"+WeWf7!#7$"+iJ6.')!"'7$$"+N;'yD"!#7$"+AEE(f)!"'7$$"+29Gc7!#7$"+e7j0')!"'7$$"+W^qa7!#7$"+c[x*f)!"'7$$"+KG8`7!#7$"*3Q"3')!"&7$$"+cWc^7!#7$"+eeF-')!"'7$$"$D"!"&$"+,Pj5')!"'7$$"+^%R%[7!#7$"+&plZg)!"'7$$"+$z#)oC"!#7$"+/#=Jh)!"'7$$"+7+LX7!#7$"+`WC2')!"'7$$"+&4"yV7!#7$"+f;f:')!"'7$$"+DgBU7!#7$"+)>7(4')!"'7$$"+*y%pS7!#7$"+PT0=')!"'7$$"+tt:R7!#7$"+6!p@h)!"'7$$"+iPiP7!#7$"+8d]?')!"'7$$"+VR4O7!#7$"+e\h9')!"'7$$"+,zcM7!#7$"+jk%Hi)!"'7$$"+Bc/L7!#7$"+3,0<')!"'7$$"+%4F:B"!#7$"+akPD')!"'7$$")B,I7!#5$"*au%>')!"&7$$"+G7]G7!#7$"*w&zF')!"&7$$"+lQ*pA"!#7$"+A$))=i)!"'7$$"+'>!\D7!#7$"+ZW?I')!"'7$$"+3-*RA"!#7$"+E:HC')!"'7$$"+))Q\A7!#7$"+"f-Ej)!"'7$$"+@7+@7!#7$"+=UoE')!"'7$$"+&>7&>7!#7$"+e-*\j)!"'7$$"+(zE!=7!#7$"+nk1H')!"'7$$"+7]a;7!#7$"+9vOP')!"'7$$"+Ho1:7!#7$"+Y$Q9j)!"'7$$"+LAf87!#7$"+JWtR')!"'7$$"+77777!#7$"+=**zL')!"'7$$"+`Pl57!#7$"+v54U')!"'7$$"+V)*=47!#7$"+\7:O')!"'7$$"+p%Hx?"!#7$"+9vVW')!"'7$$"+=EF17!#7$"+6C\Q')!"'7$$"+x#>[?"!#7$"+8QxY')!"'7$$"+M%pL?"!#7$"+oM#3k)!"'7$$"+xI#>?"!#7$"+P+5\')!"'7$$"+#>![+7!#7$"*[WJk)!"&7$$"+n2/*>"!#7$"+_iT^')!"'7$$"*z/w>"!#6$"+=bXX')!"'7$$"+\A<'>"!#7$"+BDs`')!"'7$$"*8VZ>"!#6$"+ZmvZ')!"'7$$"+AuJ$>"!#7$"+6*=gl)!"'7$$"+8^*=>"!#7$"+Fz/]')!"'7$$"*>w/>"!#6$"+&[0$e')!"'7$$"+U11*="!#7$"+C%HBl)!"'7$$"+c%[w="!#7$"+/Beg')!"'7$$"*iRi="!#6$"+">,Yl)!"'7$$"+BT$[="!#7$"+J%\Gm)!"'7$$"+`>V$="!#7$"+0L'ol)!"'7$$"+(4L?="!#7$"+Ep5l')!"'7$$"+Wvj!="!#7$"+@e6f')!"'7$$"+$GX#z6!#7$"+b[Nn')!"'7$$"+-j&y<"!#7$"+)ze8m)!"'7$$"+)eqk<"!#7$"+uKfp')!"'7$$"+K")3v6!#7$"+'H#fj')!"'7$$"*#*3P<"!#6$"+ZA#=n)!"'7$$"+VHLs6!#7$"+"Q;em)!"'7$$"+(=g4<"!#7$"+K=/u')!"'7$$"+V1fp6!#7$"+16.o')!"'7$$"+*HC#o6!#7$"+(3_in)!"'7$$"+W6'o;"!#7$"+KlBq')!"'7$$"+m6]l6!#7$"+rIXy')!"'7$$"+aV9k6!#7$"+=FVs')!"'7$$"+)p!zi6!#7$"+Z[k!o)!"'7$$"+'=S9;"!#7$"+D(>Yn)!"'7$$"+2G4g6!#7$"+mu#Go)!"'7$$"+_&[(e6!#7$"+1wzw')!"'7$$"+2uSd6!#7$"+*)4+&o)!"'7$$"+k$pg:"!#7$"+Ak'*y')!"'7$$"+6Wta6!#7$"+ua;(o)!"'7$$"+PDS`6!#7$"+Ai7"o)!"'7$$"+LP2_6!#7$"+u4K*o)!"'7$$"+')zu]6!#7$"+rqF$o)!"'7$$"+(GD%\6!#7$"+YvY"p)!"'7$$"+Ec5[6!#7$"+B!>ao)!"'7$$"+"**)yY6!#7$"+\_g$p)!"'7$$"+s`ZX6!#7$"+F@b(o)!"'7$$"*wkT9"!#6$"*8Mdp)!"&7$$"+Vr&G9"!#7$"+Vkn*o)!"'7$$"+6DbT6!#7$"+`U&yp)!"'7$$"+b3DS6!#7$"+E?z"p)!"'7$$"+k@&*Q6!#7$"+kc'**p)!"'7$$"+GklP6!#7$"*$*)*Qp)!"&7$$"+OOOO6!#7$"+B%o?q)!"'7$$"*yt]8"!#6$"+/s*fp)!"'7$$"+[oyL6!#7$"+xD;/()!"'7$$"+JG]K6!#7$"+-p3)p)!"'7$$"+><AJ6!#7$"+$=[iq)!"'7$$"+.N%*H6!#7$"+z!o,q)!"'7$$"+s"o'G6!#7$"+&HD$3()!"'7$$"+;dRF6!#7$"+%ySAq)!"'7$$"+Eh7E6!#7$"+eRR5()!"'7$$"+$Rf[7"!#7$"+w]I/()!"'7$$"+1bfB6!#7$"*BaCr)!"&7$$"+cWLA6!#7$"+%*4O1()!"'7$$"+Li2@6!#7$"+eh]9()!"'7$$"+H3#)>6!#7$"+.'3%3()!"'7$$"+L#o&=6!#7$"+'z\lr)!"'7$$"+O%=t6"!#7$"+TzW5()!"'7$$"+H92;6!#7$"*>&e=()!"&7$$"+-s#[6"!#7$"+j!zCr)!"'7$$"+Yde86!#7$"+$R71s)!"'7$$"+_qM76!#7$"+A?]9()!"'7$$"+66666!#7$"+d9jA()!"'7$$"+8z()46!#7$"+eo^;()!"'7$$"*XZ'36!#6$"+DCkC()!"'7$$"+7(>u5"!#7$"+MO_=()!"'7$$"*p%>16!#6$"+[`kE()!"'7$$"+wB(\5"!#7$"+&QA0s)!"'7$$"+fFv.6!#7$"+v-kG()!"'7$$"+Ke`-6!#7$"+kJ^A()!"'7$$"+'e@85"!#7$"*DF1t)!"&7$$"+6+6+6!#7$"*-'\C()!"&7$$"+*4,*)4"!#7$"+GjgK()!"'7$$"+T[p(4"!#7$"+)*4ZE()!"'7$$"+G7\'4"!#7$"+_vdM()!"'7$$"+_-H&4"!#7$"*:Q%G()!"&7$$"+/>4%4"!#7$"+l4aO()!"'7$$"+vh*G4"!#7$"+;vRI()!"'7$$"+dIq"4"!#7$"+>m\Q()!"'7$$"+TD^!4"!#7$"+W"\Bt)!"'7$$"+>YK*3"!#7$"+hXWS()!"'7$$"+#GR")3"!#7$"+yIHM()!"'7$$"+Al&p3"!#7$"*$[QU()!"&7$$"*Lwd3"!#6$"+s$Hit)!"'7$$"+)p)f%3"!#7$"+vuJW()!"'7$$"+>OU$3"!#7$"*1e"Q()!"&7$$"+#3^A3"!#7$"+VDCY()!"'7$$"+"3"3"3"!#7$"+%>z+u)!"'7$$"+2O"*z5!#7$"+u+;[()!"'7$$"+_'[(y5!#7$"+9G*>u)!"'7$$"+2iex5!#7$"+:,2]()!"'7$$"+liUw5!#7$"+p*)*Qu)!"'7$$"+<)o_2"!#7$"+2F(>v)!"'7$$"+cQ6u5!#7$"+&p(zX()!"'7$$"+t8'H2"!#7$"+)*y'Qv)!"'7$$"+h8"=2"!#7$"+W!*oZ()!"'7$$"+7Qmq5!#7$"+Kdvb()!"'7$$"+<(=&p5!#7$"+dId\()!"'7$$"+ogPo5!#7$"+Xijd()!"'7$$"+feBn5!#7$"+u(\9v)!"'7$$"+"3)4m5!#7$"+#[4&f()!"'7$$"+EF'\1"!#7$"+P#>Lv)!"'7$$"+(yHQ1"!#7$"+"\v8w)!"'7$$"+c#*pi5!#7$"+%["=b()!"'7$$"+D6dh5!#7$"+0VBj()!"'7$$"+(QX/1"!#7$"+ml.d()!"'7$$"+M?Kf5!#7$"+tf3l()!"'7$$"+e5?e5!#7$"+DX))e()!"'7$$"+_C3d5!#7$"+J0$pw)!"'7$$"+4i'f0"!#7$"+)QD2w)!"'7$$"+@B&[0"!#7$"+B!o(o()!"'7$$"*ySP0"!#6$"+4#fDw)!"'7$$"+z:j_5!#7$"+)[)fq()!"'7$$"+6Z_^5!#7$"+GgQk()!"'7$$"+o,U]5!#7$"+p>Us()!"'7$$"+VzJ\5!#7$"+xe?m()!"'7$$"+H!=#[5!#7$")&QUx)!"%7$$"+>/7Z5!#7$"+/)=!o()!"'7$$"+0^-Y5!#7$"+F"[gx)!"'7$$"+z?$\/"!#7$"+U[#)p()!"'7$$"+O8%Q/"!#7$"+')3&yx)!"'7$$"+oGvU5!#7$"+NSir()!"'7$$"+nmmT5!#7$"+=okz()!"'7$$"+EFeS5!#7$"+:kTt()!"'7$$"*/,&R5!#6$"+efV"y)!"'7$$"+*f@%Q5!#7$"+J??v()!"'7$$"+)RWt."!#7$"*N=Ky)!"&7$$"*Vpi."!#6$"+64)px)!"'7$$"+(o'>N5!#7$"+DS*\y)!"'7$$"+jh7M5!#7$"+*4`(y()!"'7$$"+^y0L5!#7$"+JIw'y)!"'7$$"+W<*>."!#7$"+O'=0y)!"'7$$"+Ny#4."!#7$"1,++'RD&)y)!#77$$"+<h')H5!#7$"+_vF#y)!"'7$$"+%e1)G5!#7$"+j6G!z)!"'7$$"+H#\x-"!#7$"+%))HSy)!"'7$$"+XSpE5!#7$"+k..#z)!"'7$$"+E5kD5!#7$"+ucx&y)!"'7$$"+k,fC5!#7$"*/tPz)!"&7$$"+`9aB5!#7$"+j\^(y)!"'7$$"+))[\A5!#7$"+G#4bz)!"'7$$"*Y]9-"!#6$"+wxC*y)!"'7$$"+j"3/-"!#7$"+h*Qsz)!"'7$$"+#*zO>5!#7$"+_T(4z)!"'7$$"+R*H$=5!#7$"+yA'*)z)!"'7$$"+)*RH<5!#7$"+HTp#z)!"'7$$"+j,E;5!#7$"+7#z1!))!"'7$$"+E%G_,"!#7$"+XxS%z)!"'7$$"+$y)>95!#7$"))*Q-))!"%7$$"+E7<85!#7$"+L]6'z)!"'7$$"+\d975!#7$"+wS4/))!"'7$$"+YB765!#7$"*.;yz)!"&7$$"*,,,,"!#6$"+w?z0))!"'7$$"+O<345!#7$"+l2^*z)!"'7$$"+;X135!#7$"+OQ[2))!"'7$$"+X$\q+"!#7$"+u#*>,))!"'7$$"+<i.15!#7$"+&Qp"4))!"'7$$"+E^-05!#7$"+'f")G!))!"'7$$"+kg,/5!#7$"+k([3"))!"'7$$"+F!4I+"!#7$"+lxb/))!"'7$$"+3S+-5!#7$"+-?_7))!"'7$$"+,5+,5!#7$"+6yA1))!"'7$$"""!"$$"+N"*=9))!"'7$$"***4+***!#7$"+k<*y!))!"'7$$"*#*R+)**!#7$"+*>]e"))!"'7$$"+J(*3q**!#8$"+l'\&4))!"'7$$"+j$f,'**!#8$"+=_]<))!"'7$$"+c([-&**!#8$"+V:?6))!"'7$$"+`yNS**!#8$"+MU:>))!"'7$$"+%f'[I**!#8$"+Nu%G"))!"'7$$"+@\j?**!#8$"+xsz?))!"'7$$"+vF!3"**!#8$"+pt[9))!"'7$$"+*4!*4!**!#8$"+xVVA))!"'7$$"+No>"*)*!#8$"+y87;))!"'7$$"+DHU"))*!#8$"*dlS#))!"&7$$"+7$o;()*!#8$"+$\\x"))!"'7$$"+RH$>')*!#8$"+')3pD))!"'7$$"+\n@_)*!#8$"+[<P>))!"'7$$"+&o>D%)*!#8$"+b.JF))!"'7$$"+"pTG$)*!#8$"+v"))4#))!"'7$$"+6F=B)*!#8$"+7S#*G))!"'7$$"+*oUN")*!#8$"+-))fA))!"'7$$"+p:#R!)*!#8$"+&)=`I))!"'7$$"+&H>Vz*!#8$"+mO?C))!"'7$$"+7et%y*!#8$"+1S8K))!"'7$$"+l5<v(*!#8$"+&z-e#))!"'7$$"(Dcw*!#5$"+2/tL))!"'7$$"+hv4c(*!#8$"+;iRF))!"'7$$"+%p)eY(*!#8$"+@6KN))!"'7$$"+X$)4P(*!#8$"+nR)*G))!"'7$$"+fkiF(*!#8$"+uh!p$))!"'7$$"+$)H<=(*!#8$"*2m0$))!"&7$$"1*****R'yt3(*!#>$"+%f&[Q))!"'7$$"+[5K*p*!#8$"+iD9K))!"'7$$"+"[A**o*!#8$"+>%f+%))!"'7$$"*6U0o*!#7$"+nMrL))!"'7$$"+%))z6n*!#8$"+twiT))!"'7$$"+\d$=m*!#8$"+@)y_$))!"'7$$"+_'4Dl*!#8$"+'Q!>V))!"'7$$"+V:?V'*!#8$"+Z'Qo$))!"'7$$"+o8"Rj*!#8$"+*eZZ%))!"'7$$"+w!RYi*!#8$"+xHRQ))!"'7$$"+:YQ:'*!#8$"*J*HY))!"&7$$"+Nz91'*!#8$"+V=%*R))!"'7$$"+$)*Gpf*!#8$"+zb%y%))!"'7$$"+4xs(e*!#8$"+p_[T))!"'7$$"+hSay&*!#8$"+CkQ\))!"'7$$"**zPp&*!#7$"+&GBI%))!"'7$$"+Y%H-c*!#8$"+r=#4&))!"'7$$"+w$)4^&*!#8$"+EfbW))!"'7$$"+LZ)>a*!#8$"+b>X_))!"'7$$"+l%))G`*!#8$"+2K3Y))!"'7$$"+C&4Q_*!#8$"+'pwR&))!"'7$$"+fyu9&*!#8$"+m^gZ))!"'7$$"+AMq0&*!#8$"+Fh\b))!"'7$$"+jhn'\*!#8$"*$=7\))!"&7$$"+Mgm([*!#8$"+y-,d))!"'7$$"+')Hny%*!#8$"+AKj]))!"'7$$"*(ppp%*!#7$"+p">&e))!"'7$$"+Qztg%*!#8$"+z$R@&))!"'7$$"+Tez^%*!#8$"+KG-g))!"'7$$"+L1(GW*!#8$"+8.k`))!"'7$$"+kA'RV*!#8$"+%H@:'))!"'7$$"+)oq]U*!#8$"+mg8b))!"'7$$"+de>;%*!#8$"+%e9I'))!"'7$$"+BxL2%*!#8$"+bmic))!"'7$$"+Ti\)R*!#8$"+AF]k))!"'7$$"+i8n*Q*!#8$"+3@6e))!"'7$$"+RI'3Q*!#8$"+Ud)f'))!"'7$$"+G72s$*!#8$"+dCff))!"'7$$"*)eHj$*!#7$"+mOYn))!"'7$$"*&p`a$*!#7$"+Bx1h))!"'7$$"+$R%zX$*!#8$"+Cl$*o))!"'7$$"+h"oqL*!#8$"+Nz`i))!"'7$$"+4#e$G$*!#8$"+NVSq))!"'7$$"+#\k'>$*!#8$"+=J+k))!"'7$$"+lp)4J*!#8$"+Lr'=())!"'7$$"+"eDBI*!#8$"+,LYl))!"'7$$"+(H!o$H*!#8$"+R\Kt))!"'7$$"+o50&G*!#8$"+*\=p'))!"'7$$"+[yVw#*!#8$"+"yxZ())!"'7$$"+$fSyE*!#8$"+_(o$o))!"'7$$"+f#f#f#*!#8$"+"oDi())!"'7$$"+-Qp]#*!#8$"+uS")p))!"'7$$"+xT9U#*!#8$"+o'ow())!"'7$$"+U.hL#*!#8$"+*\a7())!"'7$$"+^A4D#*!#8$"+kn5z))!"'7$$"+i)*e;#*!#8$"+V+ps))!"'7$$"+JJ53#*!#8$"+'**R0)))!"'7$$"+:?j*>*!#8$"+M27u))!"'7$$"+rk<">*!#8$"+(Qo>)))!"'7$$"+bkt#=*!#8$"+)fYb())!"'7$$"+F>Ju"*!#8$"+i>R$)))!"'7$$"+TG!f;*!#8$"+jw'p())!"'7$$"+e"4v:*!#8$"+Y2"[)))!"'7$$"+L38\"*!#8$"+WRQy))!"'7$$"+CywS"*!#8$"+kZA')))!"'7$$"+"4?C8*!#8$"1,++qazz))!#77$$"+"f(3C"*!#8$"+RSj()))!"'7$$"+$Gqd6*!#8$"+nA?")))!"'7$$"+C"ou5*!#8$"+#fQ!*)))!"'7$$"+u5=*4*!#8$"+eVg#)))!"'7$$"+"4444*!#8$"+^%Q/*))!"'7$$"+M@l#3*!#8$"+j<+%)))!"'7$$"+j,Tu!*!#8$"+QO$=*))!"'7$$"+PJ=m!*!#8$"+6XR&)))!"'7$$"+95(z0*!#8$"+wTA$*))!"'7$$"1,++cPx\!*!#>$"+AEy')))!"'7$$"*K"fT!*!#7$"1,++(35Y*))!#77$$"+oOUL!*!#8$"*7m"))))!"&7$$"+e2FD!*!#8$"+)R"*f*))!"'7$$"+_D8<!*!#8$"+C]a*)))!"'7$$"+4!4!4!*!#8$"+E"ot*))!"'7$$"1,++!4+4+*!#>$"+e$>4*))!"'7$$"+bd!G**)!#8$"+)HS()*))!"'7$$"+mfs%)*)!#8$"+a"*G#*))!"'7$$"+#ogm(*)!#8$"+Pz5+*)!"'7$$"+l)4'o*)!#8$"+BWl$*))!"'7$$"+xMdg*)!#8$"+k5Z,*)!"'7$$"+x9b_*)!#8$"+">:]*))!"'7$$"+GQaW*)!#8$"+.(HG!*)!"'7$$"+#\]l$*)!#8$"+"[rj*))!"'7$$"+H9dG*)!#8$"*(Q=/*)!"&7$$"+,mg?*)!#8$"+@Ls(*))!"'7$$"+rfl7*)!#8$"+'fLb!*)!"'7$$"+,&>Z!*)!#8$"*sq!**))!"&7$$"+`rz'*))!#8$"+)*)yo!*)!"'7$$"+*)))))))))!#8$"+6PT+*)!"'7$$"+rY*4)))!#8$"+'z>#3*)!"'7$$"+jW6t))!#8$"+1Bv,*)!"'7$$"+F#[_'))!#8$"+9jb4*)!"'7$$"+EfRd))!#8$"+Pl3.*)!"'7$$"+Avb\))!#8$"+v%))3"*)!"'7$$"*)HtT))!#7$"*U;W!*)!"&7$$"+hA#R$))!#8$"+)H;A"*)!"'7$$"+J`7E))!#8$"+x>u0*)!"'7$$"+_@M=))!#8$"+2)RN"*)!"'7$$"1*****pos0"))!#>$"+DK12*)!"'7$$"+,p"G!))!#8$"+=!f["*)!"'7$$"+eZ2&z)!#8$"*>!Q3*)!"&7$$"+@iM(y)!#8$"+aR<;*)!"'7$$"+b7jz()!#8$"+&*Gp4*)!"'7$$"+D)H>x)!#8$"+RY[<*)!"'7$$"+$*=Ck()!#8$"+\8+6*)!"'7$$"+Eucc()!#8$"+*3"z=*)!"'7$$"+(Q1*[()!#8$"+(e0B"*)!"'7$$"+T(e7u)!#8$"+EL4?*)!"'7$$"+aWiL()!#8$"+Ccg8*)!"'7$$"*\.gs)!#7$"+s8R@*)!"'7$$"+:eR=()!#8$"+x9!\"*)!"'7$$"+%R,3r)!#8$"+Z_oA*)!"'7$$"+">?Kq)!#8$"+nJ>;*)!"'7$$"+u@l&p)!#8$"+r\(R#*)!"'7$$"+2t4)o)!#8$"+@2[<*)!"'7$$"+cbb!o)!#8$"+h0ED*)!"'7$$"+')o-t')!#8$"+^Tw=*)!"'7$$"+l7^l')!#8$"+R?aE*)!"'7$$"+e'3!e')!#8$"+yM/?*)!"'7$$"+J!>0l)!#8$"+E%>y#*)!"'7$$"+^B/V')!#8$"+>(=8#*)!"'7$$"+%eybj)!#8$"+RF4H*)!"'7$$"+'pF"G')!#8$"+1**eA*)!"'7$$"+b'*o?')!#8$"+-?OI*)!"'7$$"+FWE8')!#8$"+Wq&Q#*)!"'7$$"+z>&eg)!#8$"+GsiJ*)!"'7$$"+zAX)f)!#8$"+h,7D*)!"'7$$"+#Hl5f)!#8$"+R%))G$*)!"'7$$"+()4p$e)!#8$"+o#zj#*)!"'7$$"+J$Hjd)!#8$"+ac9M*)!"'7$$"+"H!)*o&)!#8$"+(RMw#*)!"'7$$"+OQkh&)!#8$"+&*))RN*)!"'7$$"+K*>Vb)!#8$"+ab))G*)!"'7$$"+Z&3qa)!#8$"+y"[m$*)!"'7$$"*l4(R&)!#7$"+hF8I*)!"'7$$"+3KUK&)!#8$"+@N*y$*)!"'7$$"*>\^_)!#7$"+WgPJ*)!"'7$$"+kv)y^)!#8$"1,++V\8R*)!#77$$"+)HQ1^)!#8$"+:ahK*)!"'7$$"+h8S.&)!#8$"+kCPS*)!"'7$$"*swh\)!#7$"**3&Q$*)!"&7$$"+YV'*)[)!#8$"+,hgT*)!"'7$$"+2Uw"[)!#8$"1*****f\#3N*)!#77$$"+ridu%)!#8$"+re$G%*)!"'7$$"+30Sn%)!#8$"+W-JO*)!"'7$$"+()oBg%)!#8$"+'zhS%*)!"'7$$"+w`3`%)!#8$"+^T`P*)!"'7$$"+Yf%fW)!#8$"+"*QGX*)!"'7$$"+l&=)Q%)!#8$"+VUvQ*)!"'7$$"+/KqJ%)!#8$"+w@]Y*)!"'7$$"+K)*fC%)!#8$"+J0(*R*)!"'7$$"+=%3vT)!#8$"+pmrZ*)!"'7$$"+K*G/T)!#8$"+QI=T*)!"'7$$"+X8O.%)!#8$"+&QF*[*)!"'7$$"1,++EcI'R)!#>$"+u<RU*)!"'7$$"+X<E*Q)!#8$"+TV8]*)!"'7$$"1,++t'HAQ)!#>$"+hnfV*)!"'7$$"*Q4_P)!#7$"+evL^*)!"'7$$"+P3?o$)!#8$"*-)zW*)!"&7$$"+8S?h$)!#8$"+`q`_*)!"'7$$"+"))=UN)!#8$"+jb*f%*)!"'7$$"1******3aCZ$)!#>$"*%Gt`*)!"&7$$"*d$GS$)!#7$"+6%*=Z*)!"'7$$"+LLLL$)!#8$"*%\#\&*)!"&7$$"+rYRE$)!#8$"+v&z$[*)!"'7$$"+avY>$)!#8$"+nL6c*)!"'7$$"1,++`>b7$)!#>$"+ygc\*)!"'7$$"+Tyk0$)!#8$"*9)Hd*)!"&7$$"1*****p=b()H)!#>$"+M*[2&*)!"'7$$"+kR(=H)!#8$"+v#z%e*)!"'7$$"1,++UT+&G)!#>$"+h"G>&*)!"'7$$"+&pX"y#)!#8$"+)yc'f*)!"'7$$"+%f)Hr#)!#8$"+vP5`*)!"'7$$"*"GYk#)!#7$"+(pI3'*)!"'7$$"+:$QwD)!#8$"+)zvU&*)!"'7$$"1,++#3D3D)!#>$"+;5+i*)!"'7$$"+$3BSC)!#8$"+NUWb*)!"'7$$"*HKsB)!#7$"+mx;j*)!"'7$$"+vEXI#)!#8$"+8"4m&*)!"'7$$"+6UoB#)!#8$"+i4Lk*)!"'7$$"1******oo#p@)!#>$"+W/xd*)!"'7$$"1,++C1=5#)!#>$"+:1\l*)!"'7$$"+ZaW.#)!#8$"+U#G*e*)!"'7$$"+68s'>)!#8$"*vYm'*)!"&7$$"*>3+>)!#7$"+ED3g*)!"'7$$"+cgI$=)!#8$"+v$*zn*)!"'7$$"+")[hw")!#8$"+<LBh*)!"'7$$"+TY$*p")!#8$"*^[*o*)!"&7$$"+1`Ej")!#8$"+>1Qi*)!"'7$$"+_ogc")!#8$"+nT4q*)!"'7$$"*Df*\")!#7$"+bW_j*)!"'7$$"+wCKV")!#8$"+ojBr*)!"'7$$"+,lpO")!#8$"+U[mk*)!"'7$$"+,83I")!#8$"+F^Ps*)!"'7$$"1,++[oZB")!#>$"+*y,e'*)!"'7$$"1,++<J)o6)!#>$"+a/^t*)!"'7$$"+"3+.6)!#8$"*KNp'*)!"&7$$"+:xs.")!#8$"*PUY(*)!"&7$$"+#*f;(4)!#8$"+\a1o*)!"'7$$"+()[h!4)!#8$"**3xv*)!"&7$$"+tV2%3)!#8$"+$=#>p*)!"'7$$"+EWax!)!#8$"+Eg*o(*)!"'7$$"*-D52)!#7$"+\bJq*)!"'7$$"+Hh^k!)!#8$"+)z<!y*)!"'7$$"1,++Gx,e!)!#>$"+_bVr*)!"'7$$"+"zH:0)!#8$"+9i8z*)!"'7$$"1,++$H_]/)!#>$"+3Abs*)!"'7$$"+4_eQ!)!#8$"+(H^-)*)!"'7$$"+9&G@.)!#8$"*alO(*)!"&7$$"1,++$=#oD!)!#>$"+dIO")*)!"'7$$"1,++">Y#>!)!#>$"+ebxu*)!"'7$$"+80#G,)!#8$"+6:Z#)*)!"'7$$"1,++C^S1!)!#>$"+tA)e(*)!"'7$$"#!)!"&$"+tmd$)*)!"'7$$"+;^g$*z!#8$"+2d)p(*)!"'7$$"+Z/A()z!#8$"+b&yY)*)!"'7$$"*(f%3)z!#7$"+re3y*)!"'7$$"+f;[uz!#8$"+xrx&)*)!"'7$$"1,++!\F"oz!#>$"*y#=z*)!"&7$$"1,++RMyhz!#>$"+\D(o)*)!"'7$$"+$[\a&z!#8$"+ZkF!)*)!"'7$$"1,++'fD"\z!#>$"+'okz)*)!"'7$$"+b<"G%z!#8$"+()oO")*)!"'7$$"1,++Oz]Oz!#>$"+1O0*)*)!"'7$$"+;T@Iz!#8$"+6TX#)*)!"'7$$"+p-$R#z!#8$"+>$R,**)!"'7$$"+ujl<z!#8$"+T"QN)*)!"'7$$"1,++0CR6z!#>$"+R=A"**)!"'7$$"*MQ^!z!#7$"+()*=Y)*)!"'7$$"1,++bT*))*y!#>$"+%=,B**)!"'7$$"+E)fE*y!#8$"+imp&)*)!"'7$$"+J`V')y!#8$"+ltP$**)!"'7$$"+Y1A!)y!#8$"*=rn)*)!"&7$$"+[d,uy!#8$"+)R]W**)!"'7$$"1,++91#y'y!#>$"+fD%y)*)!"'7$$"*AN;'y!#7$"+#H?b**)!"'7$$"+W&fa&y!#8$"+33"*))*)!"'7$$"+kNH\y!#8$"+nqe'**)!"'7$$"1*****\DPJ%y!#>$"*%f(**)*)!"&7$$"+'f!*p$y!#8$"+K2l(**)!"'7$$"+jN&3$y!#8$"+wz."**)!"'7$$"+NhsCy!#8$"+08r)**)!"'7$$"1,++)G3'=y!#>$"+@p4#**)!"'7$$"&D"y!")$"+%zo(***)!"'7$$"+\7S1y!#8$"+#z_J**)!"'7$$"1,++7?J+y!#>$"+;K#3+*!"'7$$"+oAB%z(!#8$"+*f0U**)!"'7$$"1,++%*>;)y(!#>$"+%eu=+*!"'7$$"+n65#y(!#8$"+k`D&**)!"'7$$"1,++n(\gx(!#>$"+7H#H+*!"'7$$"1,++qx+qx!#>$"+)3-j**)!"'7$$"+b^(Rw(!#8$"+3#oR+*!"'7$$"+,>&zv(!#8$"+(zXt**)!"'7$$"+%)z$>v(!#8$"+%\5]+*!"'7$$"+&QLfu(!#8$"+(\'Q)**)!"'7$$"*3Q*Rx!#7$"+u(\g+*!"'7$$"+\?&Rt(!#8$"+*>C%***)!"'7$$"*Fvzs(!#7$"+pg32!*!"'7$$"+Ax+Ax!#8$"+C*e/+*!"'7$$"1*****HQ\gr(!#>$"+'Q>"3!*!"'7$$"+J-55x!#8$"+t1\,!*!"'7$$"+Z-;/x!#8$"*u\"4!*!"&7$$"+2%H#)p(!#8$"+o%>D+*!"'7$$"+#p2Bp(!#8$"+Tr<5!*!"'7$$"+"3&R'o(!#8$"+C`a.!*!"'7$$"1*****4b"\!o(!#>$"+3;?6!*!"'7$$"+%3(fuw!#8$"+T#oX+*!"'7$$"+c;row!#8$"1,++[JA7!*!#77$$"+\_$Gm(!#8$"+Z#)e0!*!"'7$$"1*****4%y'pl(!#>$"+y<C8!*!"'7$$"1,++6%46l(!#>$"+V`g1!*!"'7$$"+R*f_k(!#8$"+0vD9!*!"'7$$"+/%>%Rw!#8$"+V&>w+*!"'7$$"+'y(eLw!#8$"+X.F:!*!"'7$$"1,++l]wFw!#>$"+l3j3!*!"'7$$"*A^>i(!#7$"+2.G;!*!"'7$$"*BYhh(!#7$"+9$R'4!*!"'7$$"+w+N5w!#8$"+6uG<!*!"'7$$"+QFc/w!#8$"+7\k5!*!"'7$$"+&>%y)f(!#8$"+e;H=!*!"'7$$"+FW,$f(!#8$"+ewk6!*!"'7$$"1,++9MD(e(!#>$"+pIH>!*!"'7$$"+P6]"e(!#8$"+vvk7!*!"'7$$"+wvvvv!#8$"+`;H?!*!"'7$$"*rA+d(!#7$"+tYk8!*!"'7$$"1,++?lHkv!#>$"+AuG@!*!"'7$$"+()*y&ev!#8$"+e*QY,*!"'7$$"1*****44qGb(!#>$"+)Q!GA!*!"'7$$"+6)pra(!#8$"+^/j:!*!"'7$$"1******H"y9a(!#>$"+h0FB!*!"'7$$"+E]zNv!#8$"+`">m,*!"'7$$"1*****>[?,`(!#>$"+ezDC!*!"'7$$"+xWXCv!#8$"+&30w,*!"'7$$"+#*pz=v!#8$"+$eU_-*!"'7$$"1,++4![J^(!#>$"+a#)e=!*!"'7$$"+3v]2v!#8$"+`WAE!*!"'7$$"+pa(=](!#8$"+u'o&>!*!"'7$$"+u=D'\(!#8$"+"e.s-*!"'7$$"+/nj!\(!#8$"+dja?!*!"'7$$"*%*H][(!#7$"+s*z"G!*!"'7$$"+j:Vzu!#8$"+48_@!*!"'7$$"1,++b:%QZ(!#>$"+VO:H!*!"'7$$"+&*)f#ou!#8$"+XN\A!*!"'7$$"+nloiu!#8$"+0Y7I!*!"'7$$"1,++^:7du!#>$"+#3jM-*!"'7$$"+H[c^u!#8$"+mG4J!*!"'7$$"+"Q;gW(!#8$"+@*HW-*!"'7$$"*>w/W(!#7$"+T%e?.*!"'7$$"+QU%\V(!#8$"+xSRD!*!"'7$$"+00UHu!#8$"+O8-L!*!"'7$$"+u\!RU(!#8$"+mbNE!*!"'7$$"1,++EwR=u!#>$"+n:)R.*!"'7$$"1*****HW)*GT(!#>$"+&R9t-*!"'7$$"+2uS2u!#8$"+Y"R\.*!"'7$$")X#>S(!#6$"+u0FG!*!"'7$$"+/(\kR(!#8$"+xS*e.*!"'7$$"1,++,I)4R(!#>$"+9TAH!*!"'7$$"+sV_&Q(!#8$"+zj%o.*!"'7$$"+,Q2!Q(!#8$"+D]<I!*!"'7$$"+o7jut!#8$"1,++hgzP!*!#77$$"+en>pt!#8$"+DL7J!*!"'7$$"*DqPO(!#7$"+GJuQ!*!"'7$$"+H<Net!#8$"+=!p?.*!"'7$$"+w6%HN(!#8$"+&f(oR!*!"'7$$"+v&QvM(!#8$"+;@,L!*!"'7$$"+1R9Ut!#8$"+v%H1/*!"'7$$"+`rvOt!#8$"+HE&R.*!"'7$$"1,++*Hy8L(!#>$"+u(o:/*!"'7$$"+Et+Et!#8$"+t0*[.*!"'7$$"1*****p@W1K(!#>$"+4b]U!*!"'7$$"+a*)G:t!#8$"*&f#e.*!"&7$$"*_T*4t!#7$"+%oRM/*!"'7$$"1,++**=g/t!#>$"*yen.*!"&7$$"+t+F*H(!#8$"*JrV/*!"&7$$"1*****\-YRH(!#>$"+j!*oP!*!"'7$$"+Q(H')G(!#8$"+-/IX!*!"'7$$"+%>@LG(!#8$"+;ohQ!*!"'7$$"1*****zP?!ys!#>$"+kpAY!*!"'7$$"+tssss!#8$"+\?aR!*!"'7$$"*'=Wns!#7$"+85:Z!*!"'7$$"+DT;is!#8$"+pZYS!*!"'7$$"+\S*oD(!#8$"+cD2[!*!"'7$$"+<;j^s!#8$"+"*\QT!*!"'7$$"+7oPYs!#8$");**[!*!"%7$$"+;'H6C(!#8$"+@FIU!*!"'7$$"1,++9+*eB(!#>$"+j"3*\!*!"'7$$"**zlIs!#7$"+pz@V!*!"'7$$"+ENVDs!#8$"+ZA#30*!"'7$$"+1m@?s!#8$"+`28W!*!"'7$$"1,++:s+:s!#>$"+oQt^!*!"'7$$"+N`!)4s!#8$"+s5/X!*!"'7$$"1,++^4h/s!#>$"+LIk_!*!"'7$$"+YSU*>(!#8$"1*****>%*[f/*!#77$$"+/YC%>(!#8$"+`(\N0*!"'7$$"*hs!*=(!#7$"+pV&o/*!"'7$$"1,++Y!3R=(!#>$"+NSXa!*!"'7$$"+(*3vyr!#8$"+ptvZ!*!"'7$$"+[6gtr!#8$"+#*eNb!*!"'7$$"1,++"ye%or!#>$"+Zzl[!*!"'7$$"+#yBL;(!#8$"+L`Dc!*!"'7$$"1,++Nh>er!#>$"*6c&\!*!"&7$$"+Be2`r!#8$"+rB:d!*!"'7$$"+JG'z9(!#8$"+y=X]!*!"'7$$"1,++Vr&G9(!#>$"+4q/e!*!"'7$$"1*****Ruex8(!#>$"+__M^!*!"'7$$"+=wmKr!#8$"+f#R*e!*!"'7$$"+\PeFr!#8$"+ViB_!*!"'7$$"+Ar]Ar!#8$"+J"H)f!*!"'7$$"+AxV<r!#8$"+i[7`!*!"'7$$"+LbP7r!#8$"+Pmrg!*!"'7$$"1******R0K2r!#>$"+86,a!*!"'7$$"1,++FFF-r!#>$"+%y,;1*!"'7$$"1******y?B(4(!#>$"+>]*[0*!"'7$$"1,++#e)>#4(!#>$"+"e%[i!*!"'7$$"+=A<(3(!#8$"+vlxb!*!"'7$$"+uH:#3(!#8$"+P]Oj!*!"'7$$"+N39xq!#8$"+'zbm0*!"'7$$"+&yN@2(!#8$"+iJCk!*!"'7$$"+4y8nq!#8$"+$pKv0*!"'7$$"+$*o9iq!#8$"+p*=^1*!"'7$$"*-jr0(!#7$"+tsSe!*!"'7$$"+yh=_q!#8$"+hC*f1*!"'7$$"*N;s/(!#7$"+X&z#f!*!"'7$$"+@NDUq!#8$"+`O'o1*!"'7$$"+ywHPq!#8$"+;&\,1*!"'7$$"+/)[B.(!#8$"+[Dtn!*!"'7$$"+()oSFq!#8$"1*****>?<51*!#77$$"*">ZAq!#7$"+d"*fo!*!"'7$$"1******fQa<q!#>$"+2E)=1*!"'7$$"+@Fi7q!#8$"+%\j%p!*!"'7$$"1,++z%3x+(!#>$"+Qdui!*!"'7$$"1******>6!G+(!#>$"+fbKq!*!"'7$$"*j+z*p!#7$"+6mgj!*!"'7$$"+$*p+$*p!#8$"+p`=r!*!"'7$$"+'>?"))p!#8$"+D_Yk!*!"'7$$"+B-C$)p!#8$"*$H/s!*!"&7$$"+iqOyp!#8$"+)f@`1*!"'7$$"+(p+N(p!#8$"*D)*G2*!"&7$$"1*****\6T'op!#>$"+Md<m!*!"'7$$"+,$)yjp!#8$"*M^P2*!"&7$$"+TA%*ep!#8$"+Xw-n!*!"'7$$"+@H5ap!#8$"+1Agu!*!"'7$$"+F.F\p!#8$"+Nt(y1*!"'7$$"+WWWWp!#8$"+d3Xv!*!"'7$$"1,++g_iRp!#>$"+<[so!*!"'7$$"*w7[$p!#7$"+.tHw!*!"'7$$"1,++Ip+Ip!#>$"),dp!*!"%7$$"+cx?Dp!#8$"+_:9x!*!"'7$$"1,++D_T?p!#>$"+&=8/2*!"'7$$"1,++A$Hc"p!#>$"+7O)z2*!"'7$$"+N+&3"p!#8$"+(3a72*!"'7$$"+[t21p!#8$"+&\B)y!*!"'7$$"+\7J,p!#8$"+>G4s!*!"'7$$"+C<b'*o!#8$"+/7mz!*!"'7$$"1******e()z"*o!#>$"*QHH2*!"&7$$"1,++UB0()o!#>$"+^n\!3*!"'7$$"+dCJ#)o!#8$"+&yjP2*!"'7$$"+#4zv(o!#8$"+W,L"3*!"'7$$"+MA&G(o!#8$"+Ogfu!*!"'7$$"+o=8oo!#8$"+(Qh@3*!"'7$$"+#)zTjo!#8$"+\hUv!*!"'7$$"+i0reo!#8$"+%\!*H3*!"'7$$"+'f4S&o!#8$"+BTDw!*!"'7$$"+o]J\o!#8$"+ru"Q3*!"'7$$"+opiWo!#8$"+v*zq2*!"'7$$"*GX*Ro!#7$"+GBk%3*!"'7$$"+$**p_$o!#8$"*r.z2*!"&7$$"+$4,1$o!#8$"*2la3*!"&7$$"+n&Qf#o!#8$"+M`sy!*!"'7$$"1*****4S#G@o!#>$"+2dG'3*!"'7$$"1,++%eKm"o!#>$"+d[az!*!"'7$$"+,"*)>"o!#8$"+YU5(3*!"'7$$"*%>N2o!#7$"+'Gi.3*!"'7$$"+)3@F!o!#8$"+*p?z3*!"'7$$"+Ll4)z'!#8$"*jx63*!"&7$$"+h#yMz'!#8$"+p]t)3*!"'7$$"1,++fi'))y'!#>$"+-4*>3*!"'7$$"1,++;0E%y'!#>$"+ita*3*!"'7$$"+<5mzn!#8$")@!G3*!"%7$$"+^x1vn!#8$"+&fd.4*!"'7$$"+/2[qn!#8$"+T7h$3*!"'7$$"+l)**ew'!#8$"+md;"4*!"'7$$"1******>_Khn!#>$"+E$=W3*!"'7$$"+dnvcn!#8$"+$*=(>4*!"'7$$"+jW>_n!#8$"+kLA&3*!"'7$$"+F$Qwu'!#8$"+ufx#4*!"'7$$"+M$)3Vn!#8$"+ij-'3*!"'7$$"1,++uWaQn!#>$"+>!yN4*!"'7$$"+Mn+Mn!#8$"+Ot#o3*!"'7$$"+,^ZHn!#8$"+U!yV4*!"'7$$"+j&\\s'!#8$"+'GEw3*!"'7$$"+3,V?n!#8$"+Wg<&4*!"'7$$"+Bn"fr'!#8$"+<KU)3*!"'7$$"+'R49r'!#8$"+O?(f4*!"'7$$"1,++:"3pq'!#>$"+X"=#*3*!"'7$$"+pGT-n!#8$"+Bgw'4*!"'7$$"+WO#zp'!#8$"+r5,!4*!"'7$$"+G/W$p'!#8$"+:!ev4*!"'7$$"+6K'*)o'!#8$"+0?!34*!"'7$$"+z>\%o'!#8$"1,++>![$)4*!#77$$"*sE+o'!#7$"+f4f"4*!"'7$$"+Bucvm!#8$"*/O"*4*!"&7$$"+wS6rm!#8$"+KzP#4*!"'7$$"+nmmmm!#8$"+*3A**4*!"'7$$"+$=DAm'!#8$"+NH;$4*!"'7$$"+9'*ydm!#8$"+uhq+"*!"'7$$"1,++Z*fLl'!#>$"*)f%R4*!"&7$$"*<O*[m!#7$"+)H)[,"*!"'7$$"+s#=Xk'!#8$"+lqs%4*!"'7$$"+Ui5Sm!#8$"+p%oA5*!"'7$$"+m+qNm!#8$"+.i]&4*!"'7$$"+N(*HJm!#8$"+)pYI5*!"'7$$"+N_!pi'!#8$"+.MG'4*!"'7$$"1,++cl^Am!#>$"+#*H#Q5*!"'7$$"+'oL"=m!#8$"+m'eq4*!"'7$$"+9mv8m!#8$"+atf/"*!"'7$$"+F`Q4m!#8$"+4?$y4*!"'7$$"+:)>]g'!#8$"+$zp`5*!"'7$$"+m+m+m!#8$"*V.')4*!"&7$$"+pgI'f'!#8$"+>.91"*!"'7$$"+6y&>f'!#8$"+UHP*4*!"'7$$"+$G:we'!#8$"+M*3p5*!"'7$$"+t%yKe'!#8$"+W09+"*!"'7$$"+ot%*yl!#8$"+\cn2"*!"'7$$"+f>iul!#8$"+_i!45*!"'7$$"+MAIql!#8$"*ZS%3"*!"&7$$"1,++"=))fc'!#>$"+s+n,"*!"'7$$"*zz;c'!#7$"+1M?4"*!"'7$$"+\qPdl!#8$"+4?V-"*!"'7$$"+[*zIb'!#8$"*Yk*4"*!"&7$$"+u%)y[l!#8$"+j?>."*!"'7$$"1,++=E]Wl!#>$"+UOs5"*!"'7$$"+oBASl!#8$"+^-&R5*!"'7$$"+7x%f`'!#8$"+d4[6"*!"'7$$"+T'y;`'!#8$"+zlq/"*!"'7$$"+W^TFl!#8$"+8kB7"*!"'7$$"+3s:Bl!#8$"*0ha5*!"&7$$"+C[!*=l!#8$"+:+*H6*!"'7$$"*)zl9l!#7$"+sO@1"*!"'7$$"+nmT5l!#8$"+t<u8"*!"'7$$"+s3=1l!#8$"+\W'p5*!"'7$$"+&e]>]'!#8$"+$p"\9"*!"'7$$"+'zDx\'!#8$"+#R8x5*!"'7$$"1,++%\1N\'!#>$"+y(R_6*!"'7$$"+nEH*['!#8$"+70Y3"*!"'7$$"+1V3&['!#8$"+Ug)f6*!"'7$$")9)3['!#6$"+/e?4"*!"'7$$"+QRowk!#8$"+$[In6*!"'7$$"+4>\sk!#8$"+%G\*4"*!"'7$$"+/`Iok!#8$"+:JZ<"*!"'7$$"+6T7kk!#8$"+_4p5"*!"'7$$"*K[*fk!#7$"*%R@="*!"&7$$"+@zxbk!#8$"+>3V6"*!"'7$$"+.Hh^k!#8$"+lH&*="*!"'7$$"+cKXZk!#8$"**)o@6*!"&7$$"+p*)HVk!#8$"+*>!p>"*!"'7$$"1,++K+:Rk!#>$"+r^!H6*!"'7$$"+Nk+Nk!#8$"+YcU?"*!"'7$$"+n"o3V'!#8$"+t'RO6*!"'7$$"+=_tEk!#8$"+:$f67*!"'7$$"+zvgAk!#8$"+,CP9"*!"'7$$"+P_[=k!#8$"+77*=7*!"'7$$"+&=oVT'!#8$"+bL5:"*!"'7$$"*Tc-T'!#7$"*M@E7*!"&7$$"+/*\hS'!#8$"+XD$e6*!"'7$$"+c'[?S'!#8$"+4(\L7*!"'7$$"+bE&zR'!#8$"+z*fl6*!"'7$$"+$*='QR'!#8$"+Cj2C"*!"'7$$"+ejx*Q'!#8$"+lcG<"*!"'7$$"+Tgp&Q'!#8$"+%>,[7*!"'7$$"1,++K4i"Q'!#>$"+0'4!="*!"'7$$"1,++?5bxj!#>$"+>V_D"*!"'7$$"1,++(H'[tj!#>$"+4=t="*!"'7$$"+_nUpj!#8$"*rXi7*!"&7$$"+uBPlj!#8$"+$G_%>"*!"'7$$"+bJKhj!#8$"+u`'p7*!"'7$$"+&3zsN'!#8$"+F5<?"*!"'7$$"+_,C`j!#8$"+;LoF"*!"'7$$"+\j?\j!#8$"+c!))37*!"'7$$"+lw<Xj!#8$"+U&*RG"*!"'7$$"*4a6M'!#7$"+mLg@"*!"'7$$"+:c8Pj!#8$"+dS6H"*!"'7$$"+HA7Lj!#8$"+spJA"*!"'7$$"+CR6Hj!#8$"1*****\'o#)H"*!#77$$"+*o5^K'!#8$"+"))GI7*!"'7$$"+;D6@j!#8$"+")z`I"*!"'7$$"+%R>rJ'!#8$"+$4RP7*!"'7$$"+8888j!#8$"+*RZ78*!"'7$$"+l#["4j!#8$"+7wWC"*!"'7$$"*Cq^I'!#7$"+P^&>8*!"'7$$"+Fs>,j!#8$"+bW:D"*!"'7$$"+>#HsH'!#8$"+">hE8*!"'7$$"+0iE$H'!#8$"+;'fe7*!"'7$$"1,++w"3$*G'!#>$"+ubOL"*!"'7$$"+B^N&G'!#8$"+8JcE"*!"'7$$"+NqS"G'!#8$"+*GoS8*!"'7$$"+0RYxi!#8$"+R\EF"*!"'7$$"+@d_ti!#8$"+Q$pZ8*!"'7$$"+wCfpi!#8$"+6^'z7*!"'7$$"*;kcE'!#7$"+N(oa8*!"'7$$"+k2uhi!#8$"+BOmG"*!"'7$$"1,++yA#yD'!#>$"+$[mh8*!"'7$$"+$p3RD'!#8$"+#\g$H"*!"'7$$"$D'!"'$"+&eio8*!"'7$$"1,++!>'4Yi!#>$"+Bd0I"*!"'7$$"+`s>Ui!#8$"+YqbP"*!"'7$$"+#=.$Qi!#8$"+<$\28*!"'7$$"+lRTMi!#8$"+x)\#Q"*!"'7$$"+&fH0B'!#8$"+x7WJ"*!"'7$$"+i+lEi!#8$"+"3T*Q"*!"'7$$"+e`xAi!#8$"+<;8K"*!"'7$$"+ta!*=i!#8$"+k1jR"*!"'7$$"+)RS]@'!#8$"*M?G8*!"&7$$"+C,=6i!#8$"+H'=.9*!"'7$$"1,++VYK2i!#>$"+Zu]L"*!"'7$$"+XRZ.i!#8$"+&)\+T"*!"'7$$"+A!G'*>'!#8$"+\H>M"*!"'7$$"+loy&>'!#8$"+R(*oT"*!"'7$$"1,++k/&>>'!#>$"+Yo([8*!"'7$$"+7)=")='!#8$"1*****4*GPU"*!#77$$"+**=H%='!#8$"+["fb8*!"'7$$"+;(p/='!#8$"+`W0V"*!"'7$$"+aAlwh!#8$"+n)Ri8*!"'7$$"+1&RG<'!#8$"1*****fUMP9*!#77$$"+i9.ph!#8$"+"**=p8*!"'7$$"+8"G_;'!#8$"+=GTW"*!"'7$$"+_%H9;'!#8$"+VlfP"*!"'7$$"+oajdh!#8$"+M'*3X"*!"'7$$"+ah%Q:'!#8$"+BDFQ"*!"'7$$"+,:1]h!#8$"+y[wX"*!"'7$$"):GYh!#6$"*$p%*Q"*!"&7$$"+Uh]Uh!#8$"+e&Qk9*!"'7$$"*UN(Qh!#7$"+v(>'R"*!"'7$$"+D$p\8'!#8$"+x16Z"*!"'7$$"+[y?Jh!#8$"1,++k5HS"*!#77$$"*)4XFh!#7$"*C"yZ"*!"&7$$"+9()pBh!#8$"+-3'49*!"'7$$"*/^*>h!#7$"+b-X["*!"'7$$"+^z?;h!#8$"+&**G;9*!"'7$$"+Q%pC6'!#8$"+Fx6\"*!"'7$$"+#\N(3h!#8$"+UcHU"*!"'7$$"+0h+0h!#8$"*m$y\"*!"&7$$"+p7G,h!#8$"+h2'H9*!"'7$$"1,++w4c(4'!#>$"+c![/:*!"'7$$"+;_%Q4'!#8$"+XViV"*!"'7$$"+$)R8!4'!#8$"+H46^"*!"'7$$"+nsU'3'!#8$")kGW"*!"%7$$"+h]s#3'!#8$"+zAx^"*!"'7$$"+ct-zg!#8$"+Up%\9*!"'7$$"1,++VTLvg!#>$"*6KC:*!"&7$$"+;akrg!#8$"+mfgX"*!"'7$$"+l6'z1'!#8$"+J/4`"*!"'7$$"+$Q"Gkg!#8$"+xMEY"*!"'7$$"+hgggg!#8$"+Tsu`"*!"'7$$"+">Np0'!#8$"+#\>p9*!"'7$$"+l(oK0'!#8$"+_DSa"*!"'7$$"1,++wng\g!#>$"(uv9*!"$7$$"+9#\f/'!#8$"+oj0b"*!"'7$$"+sgHUg!#8$"+<qA["*!"'7$$"+VtkQg!#8$"+"p3d:*!"'7$$"+=I+Ng!#8$"+[&y)["*!"'7$$"+)3j8.'!#8$"+D&fj:*!"'7$$"+ZvsFg!#8$"+%fG&\"*!"'7$$"1,++'Q'4Cg!#>$"*))3q:*!"&7$$"+(fp/-'!#8$"+fr<]"*!"'7$$"+sr%o,'!#8$"+enld"*!"'7$$"+/"HK,'!#8$"*DC3:*!"&7$$"+&Q:'4g!#8$"+mJIe"*!"'7$$"+1g+1g!#8$"+y)p9:*!"'7$$"*'4S-g!#7$"+2"[*e"*!"'7$$"*C+))*f!#7$"1*****f.9@:*!#77$$"+PQ?&*f!#8$"+'e"ff"*!"'7$$"+W<h"*f!#8$"+Onv_"*!"'7$$"+_R-))f!#8$"+7OBg"*!"'7$$"+b/W%)f!#8$"+$)zR`"*!"'7$$"+W7'3)f!#8$"+$=u3;*!"'7$$"+7jGxf!#8$"+#yPS:*!"'7$$"+^crtf!#8$"+3L^h"*!"'7$$"+a#\,(f!#8$"*9wY:*!"&7$$"1,++7remf!#>$"+#*4:i"*!"'7$$"1,++>#HI'f!#>$"1*****f08`:*!#77$$"+mbZff!#8$"*C(yi"*!"&7$$"+Zh#f&f!#8$"*a[f:*!"&7$$"+_4Q_f!#8$"+b?Uj"*!"'7$$"+w*R)[f!#8$"+)e#ec"*!"'7$$"*@.`%f!#7$"+Wa0k"*!"'7$$"+[1xTf!#8$"+@_@d"*!"'7$$"*GU#Qf!#7$"*T(ok"*!"&7$$"+,"=Z$f!#8$"+Hk%y:*!"'7$$"+-")>Jf!#8$"+fzJl"*!"'7$$"1,++wAoFf!#>$"+AiZe"*!"'7$$"+;1<Cf!#8$"+)4Zf;*!"'7$$"+9Jm?f!#8$"+0Y5f"*!"'7$$"+j(fr"f!#8$"+D[dm"*!"'7$$"+c0m8f!#8$"+&eJ(f"*!"'7$$"+&[l,"f!#8$"+\6?n"*!"'7$$"+UXn1f!#8$"+hrNg"*!"'7$$"+@x=.f!#8$"+yg#y;*!"'7$$"+:]q**e!#8$"+W8)4;*!"'7$$"+:kA'*e!#8$"+7'\%o"*!"'7$$"+:>v#*e!#8$"+LTgh"*!"'7$$"+3:G*)e!#8$"+a<2p"*!"'7$$"+&=:e)e!#8$"+ObAi"*!"'7$$"+THN#)e!#8$"+9Dpp"*!"'7$$"+oZ*)ye!#8$"+cb%G;*!"'7$$"+e1Wve!#8$"+%*=Jq"*!"'7$$"+01*>(e!#8$"+0UYj"*!"'7$$"+,Yaoe!#8$"+**)H4<*!"'7$$"+RE5le!#8$"+r93k"*!"'7$$"1,++8Zmhe!#>$"+Jlar"*!"'7$$"+93Bee!#8$"+ytpk"*!"'7$$"+P4![&e!#8$"+*zh@<*!"'7$$"+t]P^e!#8$"+8>Jl"*!"'7$$"+;K&z%e!#8$"+/dxs"*!"'7$$"+f``We!#8$"+$4Df;*!"'7$$"+&\@6%e!#8$"+b#)Qt"*!"'7$$"+<;rPe!#8$"+>p`m"*!"'7$$"+=dIMe!#8$"1******[%**R<*!#77$$"*z.4$e!#7$"+%RZr;*!"'7$$"+Ge]Fe!#8$"+)H4Y<*!"'7$$"+B=6Ce!#8$"+Elvn"*!"'7$$"+p<s?e!#8$"+-y@v"*!"'7$$"*mNt"e!#7$"+9VOo"*!"'7$$"+)[`R"e!#8$"+p\#e<*!"'7$$"+Z_d5e!#8$"+j2(*o"*!"'7$$"+H4?2e!#8$")3Vw"*!"%7$$"+G0$Q!e!#8$"*)edp"*!"&7$$"+PSY+e!#8$"+*HNq<*!"'7$$"+\95(z&!#8$"+t'z,<*!"'7$$"+eFu$z&!#8$"+s%Qw<*!"'7$$"+czQ!z&!#8$"*9#yq"*!"&7$$"+Pq.(y&!#8$"+E.Cy"*!"'7$$"+%***o$y&!#8$"+$G$Qr"*!"'7$$"+@oM!y&!#8$"*'3%)y"*!"&7$$"*^2qx&!#7$"+;J)><*!"'7$$"+b?ntd!#8$"+"3S%z"*!"'7$$"*XS.x&!#7$"+P;es"*!"'7$$"+(o7qw&!#8$"+&*z.!=*!"'7$$"+h()ojd!#8$"1,++_)yJ<*!#77$$"+k'o.w&!#8$"+1Yj!=*!"'7$$"+*Q_qv&!#8$"+nZxt"*!"'7$$"+J*RPv&!#8$"+7*H7=*!"'7$$"+#GJ/v&!#8$"+"QpV<*!"'7$$"+Pk7Zd!#8$"+GR#==*!"'7$$"1,++)QDQu&!#>$")F'\<*!"%7$$"+H"G0u&!#8$"+\mT#=*!"'7$$"1,++`YBPd!#>$"+NZbv"*!"'7$$"+a\%Rt&!#8$"+#33I=*!"'7$$"+E!f1t&!#8$"+"[Xh<*!"'7$$"+hoPFd!#8$"+L#)f$=*!"'7$$"1,++a%)4Cd!#>$"+Z\tw"*!"'7$$"+*zB3s&!#8$"+.r=%=*!"'7$$"1,++()Gb<d!#>$"+NJKx"*!"'7$$"+9dG9d!#8$")Zx%=*!"%7$$"+tA-6d!#8$"*05z<*!"&7$$"1,++dDw2d!#>$"+D5O&=*!"'7$$"*c1Xq&!#7$"+(p&\y"*!"'7$$"+wUD,d!#8$"+%3Yf=*!"'7$$"+)p0!)p&!#8$"+"3!3z"*!"'7$$"1,++?3w%p&!#>$"*))Hl=*!"&7$$"+O'>:p&!#8$"+.Kmz"*!"'7$$"+R@G)o&!#8$"+>C6(=*!"'7$$"+B$[]o&!#8$"+o]C!=*!"'7$$"+#===o&!#8$"+,Pp(=*!"'7$$"+4<fyc!#8$"+#oD3=*!"'7$$"+**)o`n&!#8$"+PPF)=*!"'7$$"+X(\@n&!#8$"+\]S"=*!"'7$$"*CM*oc!#7$"+AD&))=*!"'7$$"*QAdm&!#7$"+lJ)>=*!"'7$$"+cT^ic!#8$"+m+V*=*!"'7$$"1,++k&4$fc!#>$"+Y+c#=*!"'7$$"+(f3hl&!#8$"+sj+!>*!"'7$$"+\7"Hl&!#8$"+"pNJ=*!"'7$$"+9vr\c!#8$"+W9e!>*!"'7$$"1,++'QFlk&!#>$"+2,r$=*!"'7$$"+e3MVc!#8$"+(Gb6>*!"'7$$"+Cz:Sc!#8$"+(G$G%=*!"'7$$"+z&ypj&!#8$"+-zs">*!"'7$$"+<G!Qj&!#8$"+\_&[=*!"'7$$"+J1jIc!#8$"+#H*H#>*!"'7$$"+:?YFc!#8$"+()fU&=*!"'7$$"+jpHCc!#8$"+m%pG>*!"'7$$"+pa8@c!#8$"*^&*f=*!"&7$$"+Gv(zh&!#8$"+F%QM>*!"'7$$"+LJ#[h&!#8$"+@Qc'=*!"'7$$"+yAn6c!#8$"+th+%>*!"'7$$"+e\_3c!#8$"+=48(=*!"'7$$"+m6Q0c!#8$"+:Fd%>*!"'7$$"+'*3C-c!#8$"+=op(=*!"'7$$"+VT5*f&!#8$"+a!Q^>*!"'7$$"+,4(ff&!#8$"*^h#)=*!"&7$$"+j6%Gf&!#8$"+$>-d>*!"'7$$"+D\r*e&!#8$"*,D))=*!"&7$$"+z@f'e&!#8$"+N^E'>*!"'7$$"*#HZ$e&!#7$"+8tQ*=*!"'7$$"+VrN!e&!#8$"+')o#o>*!"'7$$"+T[Cxb!#8$"*V[**=*!"&7$$"+4g8ub!#8$"*X(Q(>*!"&7$$"+T1.rb!#8$"+c$30>*!"'7$$"+J(Gzc&!#8$"+Ho%z>*!"'7$$"+t-$[c&!#8$")r1">*!"%7$$"+h_thb!#8$"+J]])>*!"'7$$"+"pV'eb!#8$"+pYi">*!"'7$$"+cbbbb!#8$"+a?1*>*!"'7$$"*&3Z_b!#7$"+j5=#>*!"'7$$"+n&*Q\b!#8$"+-zh*>*!"'7$$"+.<JYb!#8$"+(GOF>*!"'7$$"+^sBVb!#8$"+#es,?*!"'7$$"+0i;Sb!#8$"+T.H$>*!"'7$$"*c)4Pb!#7$"+*4E2?*!"'7$$"+6V.Mb!#8$"+JK%Q>*!"'7$$"+^M(4`&!#8$"+^%y7?*!"'7$$"+wf"z_&!#8$"+h\R%>*!"'7$$"+y='[_&!#8$"+Y'H=?*!"'7$$"+a6"=_&!#8$"+Qb%\>*!"'7$$"+(zj(=b!#8$"+'ozB?*!"'7$$"+,)>d^&!#8$"+i\\&>*!"'7$$"+i"zE^&!#8$"+v&GH?*!"'7$$"+t=k4b!#8$"+PK/'>*!"'7$$"*$zg1b!#7$"+=jZ.#*!"'7$$"+Dtd.b!#8$"+k.f'>*!"'7$$"+b+b+b!#8$"+:H-/#*!"'7$$"+8h_(\&!#8$"+\j8(>*!"'7$$"+%\0X\&!#8$"+u$oX?*!"'7$$"+$>)["\&!#8$"+'>"o(>*!"'7$$"+/UZ)[&!#8$"+&p7^?*!"'7$$"+ANY&[&!#8$"+6\A)>*!"'7$$"*9cC[&!#7$"+$)el0#*!"'7$$"+b?Xza!#8$"+*[n()>*!"'7$$"*E^kZ&!#7$"+Vz>1#*!"'7$$"+\PXta!#8$"+Z*3$*>*!"'7$$"+>&f/Z&!#8$"+v)Qn?*!"'7$$"+i&ouY&!#8$"+x#\)*>*!"'7$$"1*****R(3[ka!#>$"+&oys?*!"'7$$"*X'\ha!#7$"+([)Q+#*!"'7$$"1*****RG:&ea!#>$"+xt"y?*!"'7$$"*PPbX&!#7$"+wl#4?*!"'7$$"+/Fc_a!#8$"+^\N3#*!"'7$$"+"G"f\a!#8$"+bNY,#*!"'7$$"+%4BmW&!#8$"+;9*)3#*!"'7$$"+Q"eOW&!#8$"+C%**>?*!"'7$$"+4kpSa!#8$"+rnU4#*!"'7$$"+,ztPa!#8$"+$=MD?*!"'7$$"+4EyMa!#8$"+@5'*4#*!"'7$$"+F0$=V&!#8$"+Vy1.#*!"'7$$"*l"))Ga!#7$"+oT\5#*!"'7$$"+uf$fU&!#8$"+./g.#*!"'7$$"+#\$*HU&!#8$"+>i-6#*!"'7$$"1,++,U0?a!#>$"1*****R'=8/#*!#77$$"+$4=rT&!#8$"+trb6#*!"'7$$"+l^=9a!#8$"+KAm/#*!"'7$$"+6aD6a!#8$"+Pq37#*!"'7$$"+E)G$3a!#8$"+6:>0#*!"'7$$"+0aS0a!#8$"+6eh7#*!"'7$$"1,++V^[-a!#>$"+.(>d?*!"'7$$"+N!o&*R&!#8$"1*****>]VJ@*!#77$$"+uSl'R&!#8$"+6oC1#*!"'7$$"1,++eKu$R&!#>$"+6,n8#*!"'7$$"*eN3R&!#7$"+UGx1#*!"'7$$"+M5$zQ&!#8$"*k&>9#*!"&7$$"+='H]Q&!#8$"+&z(H2#*!"'7$$"+C88#Q&!#8$"+(4?Z@*!"'7$$"+[hBz`!#8$"+r;#y?*!"'7$$"+'3WjP&!#8$"*[V_@*!"&7$$"+K^Xt`!#8$"+"[W$3#*!"'7$$"*Gp0P&!#7$"+&zld@*!"'7$$"+Flon`!#8$"+Ci')3#*!"'7$$"+no![O&!#8$"+[qG;#*!"'7$$"+&HI>O&!#8$"+1pQ4#*!"'7$$"+1o0f`!#8$"+Os!o@*!"'7$$"+&R'=c`!#8$"+El!*4#*!"'7$$"+e!>LN&!#8$"+mjK<#*!"'7$$"+*ya/N&!#8$"+'3D/@*!"'7$$"+$e$fZ`!#8$"+RW%y@*!"'7$$"+OatW`!#8$"+'fU4@*!"'7$$"+U.)=M&!#8$"+k9O=#*!"'7$$"1,++(HG!R`!#>$"+b!f9@*!"'7$$"+'HzhL&!#8$"+Ou()=#*!"'7$$"+LLLL`!#8$"1*****RYu>@*!#77$$"+0/\I`!#8$"+lBR>#*!"'7$$"+10lF`!#8$"+M))[7#*!"'7$$"+KO"[K&!#8$"+^i!*>#*!"'7$$"+w(z>K&!#8$"*;-I@*!"&7$$"+O*[">`!#8$"+(4>/A*!"'7$$"1,++16K;`!#>$"+^W^8#*!"'7$$"+"G'\8`!#8$"+24$4A*!"'7$$"+cWn5`!#8$"+.d-9#*!"'7$$"+Ec&yI&!#8$"+'oT9A*!"'7$$"+)yR]I&!#8$"+Ef`9#*!"'7$$"+NpA-`!#8$"+J9&>A*!"'7$$"+kqT*H&!#8$"+A^/:#*!"'7$$"+p,h'H&!#8$"+_,YA#*!"'7$$"+Zi!QH&!#8$"+)G`b@*!"'7$$"+"H05H&!#8$"+\y'HA*!"'7$$"+)H2#)G&!#8$"+P/1;#*!"'7$$"+iAT&G&!#8$"+AXZB#*!"'7$$"*=?EG&!#7$"+klc;#*!"'7$$"+X5$)z_!#8$"*=!)RA*!"&7$$"1*****\&[/x_!#>$"+y;2<#*!"'7$$"+.;Eu_!#8$"+C[[C#*!"'7$$"+'G"[r_!#8$"+udd<#*!"'7$$"+**Qqo_!#8$"+c%))\A*!"'7$$"+P%HfE&!#8$"+k)y!=#*!"'7$$"+&*y:j_!#8$"+#3"\D#*!"'7$$"+p#*Qg_!#8$"+[4e=#*!"'7$$"1*****RbBwD&!#>$")F*fA*!"%7$$"+Y2'[D&!#8$"*.#3>#*!"&7$$"*%35__!#7$"+;L\E#*!"'7$$"+KQM\_!#8$"+0@e>#*!"'7$$"+<(*eY_!#8$"*$H*pA*!"&7$$"*\QQC&!#7$"+%="3?#*!"'7$$"+Z,4T_!#8$"+^:\F#*!"'7$$"1,++$oW$Q_!#>$"+o#z0A*!"'7$$"+%4-cB&!#8$"+z"*)zA*!"'7$$"+wB'GB&!#8$"+ij2@#*!"'7$$"+Bb7I_!#8$"+:e[G#*!"'7$$"+K:RF_!#8$"*Zs:A*!"&7$$"+(RgYA&!#8$"+k9)*G#*!"'7$$"+:@$>A&!#8$"+*en?A*!"'7$$"+"o1#>_!#8$"+FhZH#*!"'7$$"*4%[;_!#7$"+A<cA#*!"'7$$"+QVw8_!#8$"+4)p*H#*!"'7$$"+@u/6_!#8$"+w[0B#*!"'7$$"+LLL3_!#8$"+9DYI#*!"'7$$"+s?i0_!#8$"+cqaB#*!"'7$$"+KO"H?&!#8$"+VU&4B*!"'7$$"+3!3-?&!#8$"+i#QSA*!"'7$$"+)>0v>&!#8$"+(*\WJ#*!"'7$$"+&>0[>&!#8$"+%\GXA*!"'7$$"+'*z5#>&!#8$"+"yM>B*!"'7$$"+'f8%*=&!#8$"+dx,D#*!"'7$$"+#*>s'=&!#8$")OUK#*!"%7$$"+yJ.%=&!#8$"+dg]D#*!"'7$$"*:Z8=&!#7$"+b9"HB*!"'7$$"+0Rmy^!#8$"+%R$*fA*!"'7$$"+PM)f<&!#8$"+X$)RL#*!"'7$$"+UdIt^!#8$"+o(zkA*!"'7$$"+<3jq^!#8$"+"G%)QB*!"'7$$"+c'ez;&!#8$"+%=lpA*!"'7$$"+c#*Gl^!#8$"+e#pVB*!"'7$$"+7Eii^!#8$"+['\uA*!"'7$$"*se*f^!#7$"+$G`[B*!"'7$$"+wvHd^!#8$"+lJ$zA*!"'7$$"+v"RY:&!#8$"+fjLN#*!"'7$$"1*****R^$)>:&!#>$"*t:%G#*!"&7$$"+(eI$\^!#8$"+([=eB*!"'7$$"+"R!oY^!#8$"+\t*)G#*!"'7$$"+AH.W^!#8$"+p'*HO#*!"'7$$"+v")QT^!#8$"*-y$H#*!"&7$$"+YhuQ^!#8$"+4*znB*!"'7$$"+Jo5O^!#8$"+bx&)H#*!"'7$$"+E-ZL^!#8$"+7#fsB*!"'7$$"1,++Ej$38&!#>$"+blLI#*!"'7$$"+G^?G^!#8$"+zvtP#*!"'7$$"+FmdD^!#8$"+=W"3B*!"'7$$"*#3&H7&!#7$"*,:#Q#*!"&7$$"+,xK?^!#8$"+Y8HJ#*!"'7$$"+nsq<^!#8$"+6:pQ#*!"'7$$"1*****R^*3:^!#>$"+\twJ#*!"'7$$"+QWZ7^!#8$"+&3n"R#*!"'7$$"+M?')4^!#8$"+ECCK#*!"'7$$"1,++)H_s5&!#>$"+L<kR#*!"'7$$"+F_k/^!#8$"+tlrK#*!"'7$$"+;3/-^!#8$"*Y:,C*!"&7$$"+i!R%*4&!#8$"+1)*=L#*!"'7$$"+f*Ro4&!#8$"+n#)eS#*!"'7$$"+0NC%4&!#8$"+9@mL#*!"'7$$"+%p\;4&!#8$"+`,1T#*!"'7$$"+C&e!*3&!#8$"+3N8M#*!"'7$$"***pk3&!#7$"+G6`T#*!"'7$$"+(3%)Q3&!#8$"+$*RgM#*!"'7$$"+83I"3&!#8$"+)=,?C*!"'7$$"+j,sy]!#8$"+kN2N#*!"'7$$"+K@9w]!#8$"+T.ZU#*!"'7$$"+<nct]!#8$"+EAaN#*!"'7$$"+:R*42&!#8$"+'eQHC*!"'7$$"*sB%o]!#7$"+&)*4gB*!"'7$$"*8ce1&!#7$"*$fSV#*!"&7$$"+R6Hj]!#8$"+ToZO#*!"'7$$"+X(G21&!#8$"+oB(QC*!"'7$$"+V*o"e]!#8$"+$zUpB*!"'7$$"+H<hb]!#8$"+6zLW#*!"'7$$")r0`]!#6$"+`ySP#*!"'7$$"*0000&!#7$"+cD![C*!"'7$$"+yb&z/&!#8$"+:?(yB*!"'7$$"+y'3a/&!#8$"+3jEX#*!"'7$$"+ZV'G/&!#8$"+&GN$Q#*!"'7$$"+"eA./&!#8$"+p"HdC*!"'7$$"+vLyP]!#8$"+owzQ#*!"'7$$"+FnCN]!#8$"1******R6>Y#*!#77$$"+KErK]!#8$"+k"f#R#*!"'7$$"+(3"=I]!#8$"+DAlY#*!"'7$$"+'3_w-&!#8$"+s(>(R#*!"'7$$"1,++Gc7D]!#>$"+GC6Z#*!"'7$$"+3<gA]!#8$")&z,C*!"%7$$"+@.3?]!#8$"+^<dZ#*!"'7$$"+l9c<]!#8$"+Y$Q1C*!"'7$$"+N^/:]!#8$"1*****R>I![#*!#77$$"+G8`7]!#8$"+;j4T#*!"'7$$"1******R+-5]!#>$"*w([[#*!"&7$$"+n7^2]!#8$"+4MbT#*!"'7$$"+0]+0]!#8$"+aW%*[#*!"'7$$"+^7]-]!#8$"+Q'4?C*!"'7$$"#]!"&$"+x-S\#*!"'7$$"+\7](*\!#8$"**\YU#*!"&7$$"+&*\+&*\!#8$"+L_&)\#*!"'7$$"+L7^#*\!#8$"+y%>HC*!"'7$$"*'*>+*\!#7$"+A$4.D*!"'7$$"+s6`()\!#8$")JPV#*!"%7$$"+l[/&)\!#8$"+ZDw]#*!"'7$$"+O5c#)\!#8$"+ie#QC*!"'7$$"+"oz+)\!#8$"+9\@^#*!"'7$$"+'z+w(\!#8$"+lxFW#*!"'7$$"+yV7v\!#8$"+@km^#*!"'7$$"+B/ls\!#8$"+3)GZC*!"'7$$"+E*y,(\!#8$"*2<@D*!"&7$$"+'))4x'\!#8$"1*****p**y^C*!#77$$"+(HV_'\!#8$"+noc_#*!"'7$$"1*****f:zF'\!#>$"+O$GcC*!"'7$$"*Y<.'\!#7$"+8e,`#*!"'7$$"+0#ey&\!#8$"1*****>#o2Y#*!#77$$"+)Q,a&\!#8$"+3RY`#*!"'7$$"+.q%H&\!#8$"+eW_Y#*!"'7$$"1******\]\]\!#>$"+h6"RD*!"'7$$"+Ab/[\!#8$"+d7(pC*!"'7$$"+<%)fX\!#8$"+mvNa#*!"'7$$"+KP:V\!#8$"+2sTZ#*!"'7$$"+i9rS\!#8$"+JJ![D*!"'7$$"+0;FQ\!#8$"+>B'yC*!"'7$$"+cT$e$\!#8$"+eyCb#*!"'7$$"+7"*RL\!#8$"+#f1$[#*!"'7$$"+pk'4$\!#8$"+Z<pb#*!"'7$$"+Di`G\!#8$"+G+v[#*!"'7$$"+u$3h#\!#8$"+-[8c#*!"'7$$"+:HoB\!#8$"+PE>\#*!"'7$$"+V)f7#\!#8$"+Dqdc#*!"'7$$"+a"R)=\!#8$"+3Wj\#*!"'7$$"+Y3U;\!#8$"+;%=qD*!"'7$$"+9\+9\!#8$"+d`2]#*!"'7$$"+c8f6\!#8$"+$)*euD*!"'7$$"+n,=4\!#8$"+ua^]#*!"'7$$"+W8x1\!#8$"+A()*yD*!"'7$$"+&)[O/\!#8$"+pZ&4D*!"'7$$"+%yg>!\!#8$"*kP$e#*!"&7$$"*/f&**[!#7$"+UKR^#*!"'7$$"+Z'fr*[!#8$"+Qdxe#*!"'7$$"+/Ew%*[!#8$"+**3$=D*!"'7$$"+1zO#*[!#8$"+;I@f#*!"'7$$"*bv**)[!#7$"+MxE_#*!"'7$$"1*****H`&e()[!#>$"+y%\'f#*!"'7$$"+^y>&)[!#8$"+fPq_#*!"'7$$")D"G)[!#6$"+H^3g#*!"'7$$"+y%H/)[!#8$"+o*QJD*!"'7$$"*y[!y[!#7$"+m*>0E*!"'7$$"+0/nv[!#8$"+rLd`#*!"'7$$"+ZVHt[!#8$"+'*R&4E*!"'7$$"+/1#4([!#8$"+jp+a#*!"'7$$"+s"\&o[!#8$"+:sQh#*!"'7$$"2(******[+=m[!#?$"*vRWD*!"&7$$"*B8Q'[!#7$"+L'>=E*!"'7$$"+7([9'[!#8$"+K<([D*!"'7$$"2.++?\'3f[!#?$"+^7Di#*!"'7$$"+mlsc[!#8$"+9HIb#*!"'7$$"2(*****>$*oV&[!#?$"+j?oi#*!"'7$$"+'e8?&[!#8$"+,Ltb#*!"'7$$"+C0m\[!#8$"+#37JE*!"'7$$"+V(4t%[!#8$"+$)G;c#*!"'7$$"*Ch\%[!#7$"+-8aj#*!"'7$$"+7]hU[!#8$"+w;fc#*!"'7$$"+b5FS[!#8$"*tpRE*!"&7$$"+m$Hz$[!#8$"*o>qD*!"&7$$"+U**eN[!#8$"+ntRk#*!"'7$$"+zFDL[!#8$"**oWd#*!"&7$$"+uy"4$[!#8$"+:U#[E*!"'7$$"+D_eG[!#8$"1******4L(yD*!#77$$"+E[DE[!#8$"+y-Dl#*!"'7$$"+wm#R#[!#8$"+Z*)He#*!"'7$$"2.++5x+;#[!#?$"+_bnl#*!"'7$$"+3rF>[!#8$"+,Qse#*!"'7$$"+%obp"[!#8$"+Z+5m#*!"'7$$"+&\OY"[!#8$"+ry9f#*!"'7$$"+Q&>B"[!#8$"*wBlE*!"&7$$"*"[+5[!#7$"+j6df#*!"'7$$"+3Bp2[!#8$"+%pYpE*!"'7$$"+G?Q0[!#8$"+wO**f#*!"'7$$"+nR2.[!#8$"+b)otE*!"'7$$"+B"o2![!#8$"+<aTg#*!"'7$$"+"\k%)z%!#8$"*C!zn#*!"&7$$"*2jhz%!#7$"1*****fQO3E*!#77$$"+aQ'Qz%!#8$"+_3@o#*!"'7$$"+Uoc"z%!#8$"+"ec7E*!"'7$$"+J?F*y%!#8$"+(pI'o#*!"'7$$"+;%zpy%!#8$"*,w;E*!"&7$$"+&**)o%y%!#8$"+t(\!p#*!"'7$$"+l2S#y%!#8$"+rY4i#*!"'7$$"+BZ6!y%!#8$"+$3o%p#*!"'7$$"+l3$yx%!#8$"+lD^i#*!"'7$$"+)=\bx%!#8$"+Hc))p#*!"'7$$"*ppKx%!#7$"+-(HHE*!"'7$$"+mB*4x%!#8$"+9CIq#*!"'7$$"+:sroZ!#8$"+ygMj#*!"'7$$"+LUWmZ!#8$"+V%=2F*!"'7$$"+;M<kZ!#8$"+#phPE*!"'7$$"+iZ!>w%!#8$"+6P8r#*!"'7$$"+n#Q'fZ!#8$"+bl<k#*!"'7$$"*$RPdZ!#7$"+D#[:F*!"'7$$"2.++]u6^v%!#?$"+i1fk#*!"'7$$"+6<&Gv%!#8$"+')>'>F*!"'7$$"+CQf]Z!#8$"+7S+l#*!"'7$$"+#3Q$[Z!#8$"+)*\Ps#*!"'7$$"*[%3YZ!#7$"+<mTl#*!"'7$$"+<I$Qu%!#8$"*E(ys#*!"&7$$"+*o$eTZ!#8$"+x%GeE*!"'7$$"+$\O$RZ!#8$"+u()>t#*!"'7$$"+E94PZ!#8$"+&eRiE*!"'7$$"+&[[[t%!#8$"1*****Ra4OF*!#77$$"+nwgKZ!#8$"+a*\mE*!"'7$$"+p*o.t%!#8$"+p&>SF*!"'7$$"+)QK"GZ!#8$"+#efqE*!"'7$$"+@z*es%!#8$"+b)GWF*!"'7$$"+kbmBZ!#8$"+l%ouE*!"'7$$"+;`V@Z!#8$"+/u$[F*!"'7$$"+tr?>Z!#8$"+8m(yE*!"'7$$"+K6)pr%!#8$"+9_Cv#*!"'7$$"*>dZr%!#7$"+FSGo#*!"'7$$"+W``7Z!#8$"+*G_cF*!"'7$$"+"f:.r%!#8$"+,2po#*!"'7$$"+Gz43Z!#8$"+K'egF*!"'7$$"+`B)eq%!#8$"+^m4p#*!"'7$$"+i)oOq%!#8$"+VUYw#*!"'7$$"+_uX,Z!#8$"+m=]p#*!"'7$$"*7[#*p%!#7$"+D"poF*!"'7$$"+k3/(p%!#8$"+`j!*p#*!"'7$$"+"oN[p%!#8$"+#GtsF*!"'7$$"+nDj#p%!#8$"+:,Jq#*!"'7$$"*_J/p%!#7$"+7nnx#*!"'7$$"+ODB)o%!#8$"+aJrq#*!"'7$$"+9c.'o%!#8$"+@%z!y#*!"'7$$"+\2%Qo%!#8$"+va6r#*!"'7$$"*%zk"o%!#7$"+19[y#*!"'7$$"+$=d%zY!#8$"+sq^r#*!"'7$$"+v%osn%!#8$"+wE))y#*!"'7$$"+9=3vY!#8$"+^z">F*!"'7$$"+'>(*Gn%!#8$"+EKGz#*!"'7$$"+>YrqY!#8$"+6"=BF*!"'7$$"*3M&oY!#7$"1******eIoz#*!#77$$"+wbNmY!#8$"+fvrs#*!"'7$$"+/"zTm%!#8$"+$=#3!G*!"'7$$"+iY+iY!#8$"+$H;JF*!"'7$$"+YA$)fY!#8$"+$f![!G*!"'7$$"+a=mdY!#8$"+@V^t#*!"'7$$"2(*****>[$\bY!#?$"+%Hy3G*!"'7$$"+HrK`Y!#8$"+N;"RF*!"'7$$"+"zi6l%!#8$"+(Gv7G*!"'7$$"+l/+\Y!#8$"+[#3VF*!"'7$$"+\,%ok%!#8$"+u:n"G*!"'7$$"+R=oWY!#8$"+`Tqu#*!"'7$$"+Mb_UY!#8$"+dr1#G*!"'7$$"*Br.k%!#7$"+d$*4v#*!"'7$$"+C*=#QY!#8$"+P?Y#G*!"'7$$"2.++Shogj%!#?$"+eQ\v#*!"'7$$"+(H?Rj%!#8$"+>i&GG*!"'7$$"+pRxJY!#8$"+dw)eF*!"'7$$"*jH'HY!#7$"+.(\KG*!"'7$$"+us[FY!#8$"+m2Gw#*!"'7$$"+,pMDY!#8$"+([UOG*!"'7$$"+2&3Ki%!#8$"+sJnw#*!"'7$$"+*3s5i%!#8$"*eMSG*!"&7$$"+Ww$*=Y!#8$"+()[1x#*!"'7$$"+r^!oh%!#8$"+yfU%G*!"'7$$"+lYn9Y!#8$"+7fXx#*!"'7$$"+Dha7Y!#8$"+&o;[G*!"'7$$"+[&>/h%!#8$"+Xi%yF*!"'7$$"+J\H3Y!#8$"+0n?&G*!"'7$$"+rA<1Y!#8$"+$*eBy#*!"'7$$"+l:0/Y!#8$"1*****f.'f&G*!#77$$"+7G$>g%!#8$"+b[iy#*!"'7$$"+2g")*f%!#8$"+#o%)fG*!"'7$$"+\6q(f%!#8$"+EJ,z#*!"'7$$"+N#)e&f%!#8$"+ZEP'G*!"'7$$"+isZ$f%!#8$"+A2Sz#*!"'7$$"2(*****zAo8f%!#?$"+F*fnG*!"'7$$"+H6E*e%!#8$"+Kwyz#*!"'7$$"+jf:(e%!#8$"+Gl9(G*!"'7$$"+GF0&e%!#8$"+jQ<!G*!"'7$$"+@9&He%!#8$"+[C`(G*!"'7$$"+Q?&3e%!#8$"+>%f0G*!"'7$$"+zXvyX!#8$"+&p<zG*!"'7$$"+R!fmd%!#8$")V%4G*!"%7$$"+;acuX!#8$"+nAI)G*!"'7$$"+3PZsX!#8$"+1&G8G*!"'7$$"+7RQqX!#8$"+jho)G*!"'7$$"+EgHoX!#8$"+P?r"G*!"'7$$"+Y+@mX!#8$"*Rp!*G*!"&7$$"*(f7kX!#7$")\4#G*!"%7$$"+'zV?c%!#8$"+[>X*G*!"'7$$"*_j*fX!#7$"+)4xCG*!"'7$$"+T^)yb%!#8$"*%Q$)*G*!"&7$$"+c'3eb%!#8$"+A'eGG*!"'7$$"+iSt`X!#8$"+j]@!H*!"'7$$"+c8m^X!#8$"+([RKG*!"'7$$"+P0f\X!#8$"+Bcf!H*!"'7$$"+,;_ZX!#8$"+)o>OG*!"'7$$"+XXXXX!#8$"*_v4H*!"&7$$"2(*****zO*QVX!#?$"+E#**RG*!"'7$$"+ngKTX!#8$"+eZN"H*!"'7$$"+RYERX!#8$"+0"yVG*!"'7$$"+#30s`%!#8$"+NLt"H*!"'7$$"+#RZ^`%!#8$"+Djv%G*!"'7$$"+o:4LX!#8$"+c76#H*!"'7$$"+3w.JX!#8$"+))Q8&G*!"'7$$"+2b)*GX!#8$"+@&)[#H*!"'7$$"+l_$p_%!#8$"1*****pz5bG*!#77$$"2.++!yo)[_%!#?$"1*****>8lGH*!#77$$"+W.%G_%!#8$"+`q)eG*!"'7$$"*m&z?X!#7$"+*3TKH*!"'7$$"+CGv=X!#8$"+iEE'G*!"'7$$"+M=r;X!#8$")kh$H*!"%7$$"+'osY^%!#8$"+=wj'G*!"'7$$"+z`j7X!#8$"+c5*RH*!"'7$$"*"**f5X!#7$"+@>,(G*!"'7$$"+wic3X!#8$"+p]O%H*!"'7$$"+vW`1X!#8$"+(e&Q(G*!"'7$$"+/X]/X!#8$"+Q%QZH*!"'7$$"+ijZ-X!#8$"+,'exG*!"'7$$"2.++]/]/]%!#?$"*;6^H*!"&7$$"+^bU)\%!#8$"+x48)G*!"'7$$"+yGS'\%!#8$"+TK[&H*!"'7$$"+A?Q%\%!#8$"+7F])G*!"'7$$"+$)HO#\%!#8$"+%oaeH*!"'7$$"+ddM!\%!#8$"+/Q())G*!"'7$$"+T.L)[%!#8$"+'[DiH*!"'7$$"+MnJ'[%!#8$"*EW#*G*!"&7$$"+L\I%[%!#8$"*l&f'H*!"&7$$"+N\H#[%!#8$"1******ySh*G*!#77$$"+QnG![%!#8$"*=lpH*!"&7$$"*M!GyW!#7$"+iK)**G*!"'7$$"+RdFwW!#8$"+wSL(H*!"'7$$"+JHFuW!#8$"+8=N!H*!"'7$$"+9>FsW!#8$"+RBq(H*!"'7$$"+(os-Z%!#8$"+L(>2H*!"'7$$"+Y_FoW!#8$"+s*p!)H*!"'7$$"+*eziY%!#8$"+Gq3"H*!"'7$$"+9dGkW!#8$"+wpV)H*!"'7$$"+>OHiW!#8$"+&o`9H*!"'7$$"+,LIgW!#8$"+^L!))H*!"'7$$"+dZJeW!#8$"+B(>=H*!"'7$$"+')zKcW!#8$"+-"p"*H*!"'7$$"+%)HMaW!#8$"+M^=#H*!"'7$$"+^(fBX%!#8$"*BM&*H*!"&7$$"+#Gy.X%!#8$"*#*\DH*!"&7$$"+x&)R[W!#8$"+M()*)*H*!"'7$$"+J1UYW!#8$"+"49HH*!"'7$$"+WWWWW!#8$"+:EE+$*!"'7$$"+8+ZUW!#8$"+OwF$H*!"'7$$"+Ot\SW!#8$"*)ei+$*!"&7$$"+4k_QW!#8$"+h0k$H*!"'7$$"+KsbOW!#8$"+F&))4I*!"'7$$"))*eMW!#6$"+rG+%H*!"'7$$"+8TiKW!#8$"+b0N,$*!"'7$$"+o,mIW!#8$"+nXO%H*!"'7$$"+jzpGW!#8$"*(>r,$*!"&7$$"+%\PnU%!#8$"+Zcs%H*!"'7$$"+h(yZU%!#8$"+sF2-$*!"'7$$"*w@GU%!#7$"+=h3&H*!"'7$$"*\m3U%!#7$"+iHV-$*!"'7$$"+ZH"*=W!#8$"+ufW&H*!"'7$$"+J6'pT%!#8$"+UDz-$*!"'7$$"+Q5,:W!#8$"+E_!eH*!"'7$$"+lE18W!#8$"+8::.$*!"'7$$"+7g66W!#8$"+oQ;'H*!"'7$$"+w5<4W!#8$"+y)4NI*!"'7$$"+ayA2W!#8$"+,>_'H*!"'7$$"+WjG0W!#8$"+Rw'QI*!"'7$$"+VlM.W!#8$"+J$zoH*!"'7$$"+^%39S%!#8$"+&zCUI*!"'7$$"2(*****H1s%*R%!#?$"+hhB(H*!"'7$$"+zt`(R%!#8$"*N"e/$*!"&7$$"+'R/cR%!#8$"+)Q#f(H*!"'7$$"+6Jn$R%!#8$"+,t$\I*!"'7$$"+ANu"R%!#8$"+;![zH*!"'7$$"+Gc")*Q%!#8$"+`EH0$*!"'7$$"+D%*)yQ%!#8$"*/.$)H*!"&7$$"+7\'fQ%!#8$"+6uk0$*!"'7$$"+(3USQ%!#8$"+rul)H*!"'7$$"+Z47#Q%!#8$"+p:+1$*!"'7$$"+*[,-Q%!#8$"+38,*H*!"'7$$"+8PGyV!#8$"+M^N1$*!"'7$$"+:wOwV!#8$"+[XO*H*!"'7$$"+$>`WP%!#8$"+2"3nI*!"'7$$"+Y/asV!#8$"+*><(*H*!"'7$$"+r$H1P%!#8$"+([gqI*!"'7$$"+l*>(oV!#8$"+e#p+I*!"'7$$"+FA"oO%!#8$"+wAT2$*!"'7$$"+bh!\O%!#8$"+G2U+$*!"'7$$"+X<+jV!#8$"+yMw2$*!"'7$$"+(**)4hV!#8$"+1;x+$*!"'7$$"+3z>fV!#8$"+*39"3$*!"'7$$"+v%)HdV!#8$"+->7,$*!"'7$$"+(p+aN%!#8$"+>TY3$*!"'7$$"+rX]`V!#8$"+4;Z,$*!"'7$$"+'45;N%!#8$"+iN")3$*!"'7$$"+osr\V!#8$"+N2#=I*!"'7$$"+(3EyM%!#8$"+BC;4$*!"'7$$"+\l$fM%!#8$"+y#p@I*!"'7$$"+`'[SM%!#8$")2^4$*!"%7$$"+(Ri@M%!#8$"+Xs^-$*!"'7$$"+yxFSV!#8$"+-%e)4$*!"'7$$"+%z%RQV!#8$"+HY'GI*!"'7$$"+VM^OV!#8$"*_0-J*!"&7$$"+BPjMV!#8$"+J9@.$*!"'7$$"+LcvKV!#8$"+m?b5$*!"'7$$"+o"z3L%!#8$"+iwb.$*!"'7$$"+HV+HV!#8$"+M!)*3J*!"'7$$"+768FV!#8$"+;L!RI*!"'7$$"+;&f_K%!#8$"+FMC6$*!"'7$$"+P&*QBV!#8$"+)R[UI*!"'7$$"+v6_@V!#8$"+[#)e6$*!"'7$$"+GWl>V!#8$"*"Hf/$*!"&7$$"+#H*y<V!#8$"+(\K>J*!"'7$$"+md#fJ%!#8$"+\o$\I*!"'7$$"+[Q19V!#8$"1*****\<wAJ*!#77$$"+ON?7V!#8$"+=-G0$*!"'7$$"+G[M5V!#8$"+(G>EJ*!"'7$$"+@x[3V!#8$"+@Ii0$*!"'7$$"+9Aj1V!#8$"+J='HJ*!"'7$$"+/$yZI%!#8$"+__'fI*!"'7$$"**f#HI%!#7$"1,++4QI8$*!#77$$"+p_2,V!#8$"+BpI1$*!"'7$$"+RhA*H%!#8$"+D_k8$*!"'7$$"+*fytH%!#8$"+L![mI*!"'7$$"+YE`&H%!#8$"+vg)RJ*!"'7$$"+y#)o$H%!#8$"+y&))pI*!"'7$$"+%\X=H%!#8$"+jjK9$*!"'7$$"*H/+H%!#7$"+i&GtI*!"'7$$"+mY;)G%!#8$"+"4mYJ*!"'7$$"+=mK'G%!#8$"+&)zm2$*!"'7$$"+Y,\%G%!#8$"+k_+:$*!"'7$$"+Y_l#G%!#8$"+[o+3$*!"'7$$"+=>#3G%!#8$"+xQM:$*!"'7$$"+e,**yU!#8$"+i^M3$*!"'7$$"+m*frF%!#8$"+N>o:$*!"'7$$"+Q8LvU!#8$"+:Ho3$*!"'7$$"+uU]tU!#8$"+O%>gJ*!"'7$$"*xy;F%!#7$"+8,-4$*!"'7$$"+D[&)pU!#8$"+%QcjJ*!"'7$$"+PC.oU!#8$"+hnN4$*!"'7$$"+/;@mU!#8$"+$y#p;$*!"'7$$"+CBRkU!#8$"*'Gp4$*!"&7$$"+&fuDE%!#8$"+H'GqJ*!"'7$$"+:%e2E%!#8$"+/%G+J*!"'7$$"+#yV*eU!#8$"+GRO<$*!"'7$$"+%pIrD%!#8$"+.MO5$*!"'7$$"+\">`D%!#8$"+x')p<$*!"'7$$"+X"4ND%!#8$"+`yp5$*!"'7$$"*o+<D%!#7$"*)G.=$*!"&7$$"+`P*)\U!#8$"+f<.6$*!"'7$$"*O)3[U!#7$"+RlO=$*!"'7$$"+,XGYU!#8$"+@^O6$*!"'7$$"+t@[WU!#8$"1*****4l*p=$*!#77$$"+v8oUU!#8$"+Rzp6$*!"'7$$"+.@)3C%!#8$"+BA.>$*!"'7$$"+eV3RU!#8$"+=-.7$*!"'7$$"+O")GPU!#8$"+_UO>$*!"'7$$"+NM\NU!#8$"+`>O7$*!"'7$$"+a-qLU!#8$"+Wdp>$*!"'7$$"+"f3>B%!#8$"+\Jp7$*!"'7$$"+V%=,B%!#8$"+&pE+K*!"'7$$"*")H$GU!#7$"+1Q-8$*!"'7$$"+)oUlA%!#8$"+7rN?$*!"'7$$"+wqvCU!#8$"*$RN8$*!"&7$$"+tH(HA%!#8$"+))po?$*!"'7$$"+w.>@U!#8$"+;No8$*!"'7$$"+$G4%>U!#8$"+Mj,@$*!"'7$$"+#pHw@%!#8$"+oD,9$*!"'7$$"+-;&e@%!#8$"+Y^M@$*!"'7$$"+6]29U!#8$"+(3TVJ*!"'7$$"+;**H7U!#8$"+BMn@$*!"'7$$"+;j_5U!#8$"1*****z2pYJ*!#77$$"+4Uv3U!#8$"*<,?K*!"&7$$"+$f$)p?%!#8$"+Ol*\J*!"'7$$"+mW@0U!#8$"+*QGBK*!"'7$$"+EoW.U!#8$"+mMK:$*!"'7$$"+s1o,U!#8$"*3bEK*!"&7$$"+-g"**>%!#8$"+p)\cJ*!"'7$$"+8G:)>%!#8$"+V7)HK*!"'7$$"+/6R'>%!#8$"1*****HuvfJ*!#77$$"+s3j%>%!#8$"+#)oIB$*!"'7$$"+<@(G>%!#8$"+&4,jJ*!"'7$$"+P[6">%!#8$"+'*>jB$*!"'7$$"+G!f$*=%!#8$"+Dfi;$*!"'7$$"*p/w=%!#7$"+&ecRK*!"'7$$"+@=&e=%!#8$"+F-&pJ*!"'7$$"+=/5%=%!#8$"+`1GC$*!"'7$$"+"[]B=%!#8$"+7SF<$*!"'7$$"+2?g!=%!#8$"+-UgC$*!"'7$$"+%*\&)yT!#8$"*G(f<$*!"&7$$"*W4r<%!#7$"*BF\K*!"&7$$"+W`OvT!#8$"*-?zJ*!"&7$$"+/FitT!#8$"*u\_K*!"&7$$"+>:)=<%!#8$"1******[AC=$*!#77$$"+&yT,<%!#8$"+M<dD$*!"'7$$"+,NSoT!#8$"*'Rc=$*!"&7$$"+nmmmT!#8$"+9K*eK*!"'7$$"+z7$\;%!#8$"+h^))=$*!"'7$$"+Ot>jT!#8$"+yT@E$*!"'7$$"+O[YhT!#8$"+We?>$*!"'7$$"+xPtfT!#8$"+EY`E$*!"'7$$"+eT+eT!#8$"*,E&>$*!"&7$$"+xfFcT!#8$"+mX&oK*!"'7$$"+J#\X:%!#8$"+rc%)>$*!"'7$$"*#R#G:%!#7$"+%*R<F$*!"'7$$"+U+5^T!#8$"*#[;?$*!"&7$$"+$fx$\T!#8$"+8H\F$*!"'7$$"+ullZT!#8$"+iM[?$*!"'7$$"+#)p$f9%!#8$"+A8"yK*!"'7$$"+:)=U9%!#8$"+%f,3K*!"'7$$"+r?]UT!#8$"+E#H"G$*!"'7$$"+\nyST!#8$"+D#>6K*!"'7$$"+[G2RT!#8$"+DmWG$*!"'7$$"+k.OPT!#8$"+WjV@$*!"'7$$"+(H\c8%!#8$"+<NwG$*!"'7$$"+W'RR8%!#8$"+iHv@$*!"'7$$"+09BKT!#8$"+2*z!H$*!"'7$$"+xX_IT!#8$"+v!p?K*!"'7$$"+e">)GT!#8$"+%z&RH$*!"'7$$"+Z^6FT!#8$"+#p%QA$*!"'7$$"+TDTDT!#8$"+#=6(H$*!"'7$$"*M6P7%!#7$"+/)*pA$*!"'7$$"+U:,AT!#8$"+ng-I$*!"'7$$"+WJJ?T!#8$"*U9IK*!"&7$$"+Xhh=T!#8$"+b/MI$*!"'7$$"+V0#p6%!#8$"+O&GLK*!"'7$$"+PjA:T!#8$"+[VlI$*!"'7$$"+DN`8T!#8$"+^@kB$*!"'7$$"+0@%=6%!#8$"*un4L*!"&7$$"+w?:5T!#8$"+w_&RK*!"'7$$"+NMY3T!#8$"*k!GJ$*!"&7$$"+"=wn5%!#8$"+1zEC$*!"'7$$"+7.40T!#8$"+YIfJ$*!"'7$$"+FeS.T!#8$"+T+eC$*!"'7$$"+CFs,T!#8$"+f\!>L*!"'7$$"(T+5%!#5$"1*****fo"*[K*!#77$$"+c1O)4%!#8$"+zj@K$*!"'7$$"+)o"o'4%!#8$"+OG?D$*!"'7$$"+&4/]4%!#8$"+4t_K$*!"'7$$"+wyK$4%!#8$"+-N^D$*!"'7$$"+GIl"4%!#8$"+^x$GL*!"'7$$"*bz**3%!#7$"+sO#eK*!"'7$$"+TuI)3%!#8$"1*****RqZJL*!#77$$"+)pOm3%!#8$"+fL8E$*!"'7$$"*Kn\3%!#7$"+trXL$*!"'7$$"+1$*H$3%!#8$"+hDWE$*!"'7$$"+`Ej"3%!#8$"+_hwL$*!"'7$$"*On*zS!#7$"+y7vE$*!"'7$$"+EMIyS!#8$"+ZY2M$*!"'7$$"+[3kwS!#8$"+1&fqK*!"'7$$"+D'z\2%!#8$"+hEQM$*!"'7$$"+c(>L2%!#8$"+csOF$*!"'7$$"+Q7mrS!#8$"+">!pM$*!"'7$$"*2/+2%!#7$"*_uwK*!"&7$$"+^#[$oS!#8$"+Qs*\L*!"'7$$"+yPpmS!#8$"+18)zK*!"'7$$"*lS]1%!#7$"+2QIN$*!"'7$$"+m))QjS!#8$"+9wGG$*!"'7$$"+C%Q<1%!#8$"+**)4cL*!"'7$$"+A$*3gS!#8$"+UMfG$*!"'7$$"+e:WeS!#8$"*^:fL*!"&7$$"+K^zcS!#8$"+"z)*)G$*!"'7$$"+T+:bS!#8$"+V1AO$*!"'7$$"+$G1N0%!#8$"+oO?H$*!"'7$$"+dQ'=0%!#8$"+1`_O$*!"'7$$"+iFA]S!#8$"+l!3&H$*!"'7$$"+'*He[S!#8$"*\HoL*!"&7$$"+dX%p/%!#8$"+%*>")H$*!"'7$$"+VuIXS!#8$"+,K8P$*!"'7$$"+a;nVS!#8$"+Wa6I$*!"'7$$"+(=P?/%!#8$"*WOuL*!"&7$$"*////%!#7$"+F%=/L*!"'7$$"+8AxQS!#8$"1*****z?RxL*!#77$$"+/<9PS!#8$"+O4sI$*!"'7$$"*^7b.%!#7$"+/:/Q$*!"'7$$"+JY)Q.%!#8$"+xH-J$*!"'7$$"+l!eA.%!#8$"+OLMQ$*!"'7$$"+4GjIS!#8$"*bC8L*!"&7$$"+k)3!HS!#8$"+'pW'Q$*!"'7$$"+EiQFS!#8$"+cciJ$*!"'7$$"+&*[wDS!#8$"1******)eX*Q$*!#77$$"+p[9CS!#8$"+$HE>L*!"'7$$"+Yh_AS!#8$"+>gCR$*!"'7$$"+D(34-%!#8$"+okAK$*!"'7$$"+/EH>S!#8$"+#)faR$*!"'7$$"+#yxw,%!#8$"+uh_K$*!"'7$$"+dU1;S!#8$"+#[X)R$*!"'7$$"+F?X9S!#8$"+Ca#GL*!"'7$$"+"4TG,%!#8$"+=X9S$*!"'7$$"+[9B6S!#8$"+1U7L$*!"'7$$"+&4B'4S!#8$"+&4V/M*!"'7$$"+Kg,3S!#8$"*`AML*!"&7$$"+c-T1S!#8$"*@T2M*!"&7$$"+nd![+%!#8$"+#R?PL*!"'7$$"+iD?.S!#8$"+m)Q5M*!"'7$$"*k+;+%!#7$"+)z<SL*!"'7$$"#S!"&$"+kgLT$*!"'7$$"*k+%)*R!#7$"+YZJM$*!"'7$$"+eD!o*R!#8$"+1GjT$*!"'7$$"+`d?&*R!#8$"+O7hM$*!"'7$$"+C-h$*R!#8$"*4H>M*!"&7$$"+of,#*R!#8$"*F2\L*!"&7$$"+&)HU!*R!#8$"+@\AU$*!"'7$$"+s7$)))R!#8$"+_G?N$*!"'7$$"+H3C()R!#8$"+(H?DM*!"'7$$"+a;l&)R!#8$"+$)z\N$*!"'7$$"+XP1%)R!#8$"*A:GM*!"&7$$"+,rZ#)R!#8$"+cEzN$*!"'7$$"*s"*3)R!#7$"+)o4JM*!"'7$$")wIzR!#6$"+yo3O$*!"'7$$"+TZsxR!#8$"*r.MM*!"&7$$"+TJ9wR!#8$"+a1QO$*!"'7$$"+)ziX(R!#8$"+zspV$*!"'7$$"+6P)H(R!#8$"+tRnO$*!"'7$$"+yeSrR!#8$"+*R!*RM*!"'7$$"+(HH)pR!#8$"*&o'pL*!"&7$$"+oRDoR!#8$"+tIGW$*!"'7$$"+*))zm'R!#8$"+w#fsL*!"'7$$"+eq5lR!#8$"+,`dW$*!"'7$$"+ua`jR!#8$"+i7bP$*!"'7$$"+N^'>'R!#8$"+zq'[M*!"'7$$"*/'RgR!#7$"+'zUyL*!"'7$$"+(=G)eR!#8$"+:%e^M*!"'7$$"+v:EdR!#8$"+*)Q8Q$*!"'7$$"+.ipbR!#8$"+2$\aM*!"'7$$"+o?8aR!#8$"+OXUQ$*!"'7$$"*<pD&R!#7$"+d(RdM*!"'7$$"+2v+^R!#8$"+UZrQ$*!"'7$$"+xqW\R!#8$"+k(HgM*!"'7$$"*)y)y%R!#7$"+2X+R$*!"'7$$"+8*Hj%R!#8$"+J$>jM*!"'7$$"+wJxWR!#8$"+PQHR$*!"'7$$"+mw@VR!#8$"+e%3mM*!"'7$$"+#Qj;%R!#8$"+@FeR$*!"'7$$"+B.6SR!#8$"+[r*oM*!"'7$$"+)[e&QR!#8$"+p6()R$*!"'7$$"+uy+PR!#8$"+*R&=Z$*!"'7$$"+"[ea$R!#8$"+$=f,M*!"'7$$"+2."R$R!#8$"+8KZZ$*!"'7$$"*NjB$R!#7$"+bnWS$*!"'7$$"*h<3$R!#7$"*fgxM*!"&7$$"+%3t#HR!#8$"+#*QtS$*!"'7$$"+s(Hx#R!#8$"+Lv/[$*!"'7$$"+sw=ER!#8$"+*f?5M*!"'7$$"+#yYY#R!#8$"+VSL[$*!"'7$$"+,r5BR!#8$"+roIT$*!"'7$$"+F'o:#R!#8$"*7?'[$*!"&7$$"*OJ+#R!#7$"+8FfT$*!"'7$$"+)H&\=R!#8$"+md!*[$*!"'7$$"+R/'p"R!#8$"*7y=M*!"&7$$"+#yEa"R!#8$"1******y4>\$*!#77$$"+DV*Q"R!#8$"+(4j@M*!"'7$$"+nIO7R!#8$"+kdZ\$*!"'7$$"+2I$3"R!#8$"*lZCM*!"&7$$"+WTI4R!#8$"+>,w\$*!"'7$$"+vkx2R!#8$"+n<tU$*!"'7$$"'D1R!"*$"+ZS/]$*!"'7$$"+<Zs/R!#8$"+fa,V$*!"'7$$"+D1?.R!#8$"+^vK]$*!"'7$$"+@xn,R!#8$"+G()HV$*!"'7$$"+1g:+R!#8$"+C1h]$*!"'7$$"+yaj)*Q!#8$"+s:eV$*!"'7$$"+Mh6(*Q!#8$"+tK*3N*!"'7$$"+uzf&*Q!#8$"+')R'QM*!"'7$$"+(*43%*Q!#8$"+,b<^$*!"'7$$")_c#*Q!#6$"+")f9W$*!"'7$$"+%e]5*Q!#8$"+-tX^$*!"'7$$"+Xr`*)Q!#8$"+^vUW$*!"'7$$"+$)[-))Q!#8$"+&oQ<N*!"'7$$"+(z8l)Q!#8$"+(p3ZM*!"'7$$"+&)Q+&)Q!#8$"+W'>?N*!"'7$$"+Y^\$)Q!#8$"*V*)\M*!"&7$$"+yv)>)Q!#8$"1*****>=+BN*!#77$$"*="[!)Q!#7$"1*****ztp_M*!#77$$"*&f(*yQ!#7$"+-.e_$*!"'7$$"+))=ZxQ!#8$"+F'\bM*!"'7$$"+#**of(Q!#8$"+/+'GN*!"'7$$"+hsYuQ!#8$"+)4HeM*!"'7$$"+#pmH(Q!#8$"+*GRJN*!"'7$$"+'Gn9(Q!#8$"+a"3hM*!"'7$$"*/p*pQ!#7$"+b"=MN*!"'7$$"+a>ZoQ!#8$"+#z'QY$*!"'7$$"+Dg(p'Q!#8$"+2mp`$*!"'7$$"+_7[lQ!#8$"1*****f,lmM*!#77$$"+Nw)R'Q!#8$"+WY(RN*!"'7$$"+s^\iQ!#8$"+FG%pM*!"'7$$"+hQ+hQ!#8$"+nADa$*!"'7$$"+,P^fQ!#8$"+C-AZ$*!"'7$$"+"pC!eQ!#8$"+y%HXN*!"'7$$"*$o`cQ!#7$"+2s\Z$*!"'7$$"+;,0bQ!#8$"+xi![N*!"'7$$"+ZXc`Q!#8$"+$ytxM*!"'7$$"+B,3_Q!#8$"+lE3b$*!"'7$$"+Vof]Q!#8$"+W*\![$*!"'7$$"+/Z6\Q!#8$"+X'e`N*!"'7$$"+0PjZQ!#8$"+)pD$[$*!"'7$$"+YQ:YQ!#8$"+8Ujb$*!"'7$$"+D^nWQ!#8$"+Q5g[$*!"'7$$"*a(>VQ!#7$"+s$4fN*!"'7$$"+"4@<%Q!#8$"+wf()[$*!"'7$$"+wdCSQ!#8$"+ET=c$*!"'7$$"+$fr(QQ!#8$"+00:\$*!"'7$$"+U&)HPQ!#8$"+s%ekN*!"'7$$"+@m#e$Q!#8$"+KYU\$*!"'7$$"+GeNMQ!#8$"+;Ctc$*!"'7$$"+jh)G$Q!#8$"+^$)p\$*!"'7$$"+DwTJQ!#8$"+^f+d$*!"'7$$"+6-&*HQ!#8$"+h;(*\$*!"'7$$"*#R[GQ!#7$"+&3zsN*!"'7$$"+_(=q#Q!#8$"+uXC]$*!"'7$$"+0ZbDQ!#8$"+;=bd$*!"'7$$"+y<4CQ!#8$"+&3<0N*!"'7$$"+p*HE#Q!#8$"+TT#yN*!"'7$$"+y#p6#Q!#8$"+$>*y]$*!"'7$$"+-(4(>Q!#8$"+rg4e$*!"'7$$"+T7D=Q!#8$"+)*31^$*!"'7$$"+$*Qz;Q!#8$"+'fn$e$*!"'7$$"+dwL:Q!#8$"+2AL^$*!"'7$$"+KD)Q"Q!#8$"+D(Q'e$*!"'7$$"+<&GC"Q!#8$"+7Jg^$*!"'7$$"*hv4"Q!#7$"+b%4*e$*!"'7$$"*"Q_4Q!#7$"+EO(=N*!"'7$$"+:J23Q!#8$"+'yz"f$*!"'7$$"+DNi1Q!#8$"+PP9_$*!"'7$$"+Q]<0Q!#8$"+@(\%f$*!"'7$$"+`ws.Q!#8$"+cMT_$*!"'7$$"+p8G-Q!#8$"*E>(f$*!"&7$$"+%=O3!Q!#8$"+yFo_$*!"'7$$"+(4#R*z$!#8$"+2%))*f$*!"'7$$"+2"\zz$!#8$"+.<&HN*!"'7$$"+8s]'z$!#8$"+drDg$*!"'7$$"+9k1&z$!#8$"1*****4C?KN*!#77$$"+2ni$z$!#8$"+7b_g$*!"'7$$"+$4)=#z$!#8$"+#Q)[`$*!"'7$$"+p0v!z$!#8$"+xMzg$*!"'7$$"+MTJ*y$!#8$"+Khv`$*!"'7$$"+)yyyy$!#8$"+`51h$*!"'7$$"+HXW'y$!#8$"+*[BSN*!"'7$$"+b8,&y$!#8$"+O#G8O*!"'7$$"+m#zNy$!#8$"+b/Ha$*!"'7$$"*E[@y$!#7$"*.&fh$*!"&7$$"+O$=2y$!#8$"+Nqba$*!"'7$$"+%\*GzP!#8$"+M9'=O*!"'7$$"*thyx$!#7$"+GK#[N*!"'7$$"+X]VwP!#8$"+^u7i$*!"'7$$"+Q%4]x$!#8$"+H!*3b$*!"'7$$"+1\etP!#8$"+zIRi$*!"'7$$"+[9;sP!#8$"+XWNb$*!"'7$$"+l!R2x$!#8$"+@$eEO*!"'7$$"+`xJpP!#8$"+t%>cN*!"'7$$"+8v*yw$!#8$"+zJ#HO*!"'7$$"+V$ykw$!#8$"+@T)eN*!"'7$$"+T-1lP!#8$"+^w=j$*!"'7$$"+2KkjP!#8$"+$Q[hN*!"'7$$"+RsAiP!#8$"+U<Xj$*!"'7$$"+NB"3w$!#8$"+eATc$*!"'7$$"+'\)RfP!#8$"1*****zW:PO*!#77$$"*s&)zv$!#7$"+ddnc$*!"'7$$"+/SdcP!#8$"*xyRO*!"&7$$"*Nj^v$!#7$"+r)QpN*!"'7$$"+aPv`P!#8$"+7<Ck$*!"'7$$"+;_M_P!#8$"+.;?d$*!"'7$$"+Mx$4v$!#8$"+wU]k$*!"'7$$"+48`\P!#8$"+bRYd$*!"'7$$"+Pf7[P!#8$"+ekwk$*!"'7$$"+>;sYP!#8$"+Efsd$*!"'7$$"+_$=`u$!#8$"+f#G]O*!"'7$$"+Oh"Ru$!#8$"+@v)zN*!"'7$$"*(\^UP!#7$"+(o*Gl$*!"'7$$"+_[6TP!#8$"1******R([#e$*!#77$$"+#y:(RP!#8$"+N2bl$*!"'7$$"+dxJQP!#8$"+z&4&e$*!"'7$$"+x2#pt$!#8$"+09"eO*!"'7$$"+T[_NP!#8$"+[+xe$*!"'7$$"+[*HTt$!#8$"+-<2m$*!"'7$$"+'4OFt$!#8$"+O,.f$*!"'7$$"+%GV8t$!#8$"+D;Lm$*!"'7$$"+6:&*HP!#8$"+\)*Gf$*!"'7$$"+w2cGP!#8$"*<"fm$*!"&7$$"+x5<FP!#8$"+">\&f$*!"'7$$"+9CyDP!#8$"+Y.&oO*!"'7$$"+'y%RCP!#8$"+k"3)f$*!"'7$$"+">3Is$!#8$"+Z"4rO*!"'7$$"+FEi@P!#8$"+hn1g$*!"'7$$"+&4Q-s$!#8$"+xvOn$*!"'7$$"+$fa)=P!#8$"+#)\Kg$*!"'7$$"+>@Z<P!#8$"+Pcin$*!"'7$$"+t14;P!#8$"+RGeg$*!"'7$$"+`-r9P!#8$"+HL)yO*!"'7$$"+e3L8P!#8$"+E.%3O*!"'7$$"+([_>r$!#8$"+[19o$*!"'7$$"+R^d5P!#8$"+Vu4h$*!"'7$$"+8))>4P!#8$"1,++-wRo$*!#77$$"+3N#yq$!#8$"+&>a8O*!"'7$$"+A#\kq$!#8$"+&=a'o$*!"'7$$"+af20P!#8$"+y0hh$*!"'7$$"+/Pq.P!#8$"+//"*o$*!"'7$$"+pCL-P!#8$"*fm=O*!"&7$$"*Di4q$!#7$"+bi;p$*!"'7$$"+XIf*p$!#8$"+VA7i$*!"'7$$"+_[A)p$!#8$"+U<Up$*!"'7$$"+rw&op$!#8$"+EvPi$*!"'7$$"):\&p$!#6$"+lonp$*!"'7$$"+Rj7%p$!#8$"+^Cji$*!"'7$$"+'=iFp$!#8$"+B;$*p$*!"'7$$"*/*R"p$!#7$"*,()GO*!"&7$$")p.!p$!#6$"*-'=q$*!"&7$$"+ldn)o$!#8$"+079j$*!"'7$$"+McJ(o$!#8$"+_+Wq$*!"'7$$"+1l&fo$!#8$"+N]Rj$*!"'7$$"+z$)f%o$!#8$"+EPpq$*!"'7$$"+_7C$o$!#8$"+7&[OO*!"'7$$"+D^)=o$!#8$"+Oq%4P*!"'7$$"+'**H0o$!#8$"+C;!RO*!"'7$$"+le<zO!#8$"+"***>r$*!"'7$$"+HF#yn$!#8$"+xV:k$*!"'7$$"+)eqkn$!#8$"+"e_9P*!"'7$$"+T%>^n$!#8$"+rnSk$*!"'7$$"+(GpPn$!#8$"+;[qr$*!"'7$$"+D,UsO!#8$"+6)eYO*!"'7$$"+`>2rO!#8$"+$pc>P*!"'7$$"+rZspO!#8$"1*****>\5\O*!#77$$"+x&y$oO!#8$"1*****f@3AP*!#77$$"*PLqm$!#7$"+9=;l$*!"'7$$"*:*olO!#7$"*QfCP*!"&7$$"+9fMkO!#8$"+#y7aO*!"'7$$"+jO+jO!#8$"+*=5FP*!"'7$$"+&Ri;m$!#8$"+'RjcO*!"'7$$"+3@KgO!#8$"+V1'HP*!"'7$$"+.G)*eO!#8$"+dO"fO*!"'7$$"+xWkdO!#8$"+X2@t$*!"'7$$"*82jl$!#7$"+kN;m$*!"'7$$"*wq\l$!#7$"+#\gMP*!"'7$$"+n`j`O!#8$"+=JTm$*!"'7$$"*&4I_O!#7$"+())4PP*!"'7$$"+1v'4l$!#8$"+<Bmm$*!"'7$$"+O]j\O!#8$"+M*eRP*!"'7$$"+RNI[O!#8$"1******o6"pO*!#77$$"+7I(pk$!#8$"+Hw?u$*!"'7$$"+cMkXO!#8$"+n'frO*!"'7$$"+p[JWO!#8$"+sfXu$*!"'7$$"*D()Hk$!#7$"+@ySn$*!"'7$$"+(fg;k$!#8$"+mRqu$*!"'7$$"+6\LSO!#8$"+Bcln$*!"'7$$"+*=5!RO!#8$"+6;&\P*!"'7$$"+JkoPO!#8$"+wI!zO*!"'7$$"+OOOOO!#8$"+6*)>v$*!"'7$$"+.=/NO!#8$"+"=]"o$*!"'7$$"*$4sLO!#7$"+ieWv$*!"'7$$"+<5SKO!#8$"+UpRo$*!"'7$$"+i?3JO!#8$"+lCpv$*!"'7$$"+lSwHO!#8$"+cLko$*!"'7$$"+DqWGO!#8$"+D(QfP*!"'7$$"+R48FO!#8$"+A%*))o$*!"'7$$"+4e"ei$!#8$"+RY=w$*!"'7$$"+J;]CO!#8$"*:N"p$*!"&7$$"+1%)=BO!#8$"+3-Vw$*!"'7$$"+Kh(=i$!#8$"*`!Qp$*!"&7$$"+3[c?O!#8$"+Qanw$*!"'7$$"+MWD>O!#8$"+nbip$*!"'7$$"+2]%zh$!#8$"+A.#pP*!"'7$$"+Glj;O!#8$"+h-()p$*!"'7$$"+&**G`h$!#8$"+j[;x$*!"'7$$"+2C-9O!#8$"+7Y6q$*!"'7$$"+jnr7O!#8$"+j!4uP*!"'7$$"+i?T6O!#8$"+E'e.P*!"'7$$"+.$3,h$!#8$"+AHlx$*!"'7$$"+&[0)3O!#8$"+)H-1P*!"'7$$"+3O]2O!#8$"+Vk*yP*!"'7$$"+pE?1O!#8$"+Jc%3P*!"'7$$"+oE!\g$!#8$"+C'R"y$*!"'7$$"+/Og.O!#8$"+G')3r$*!"'7$$"+waI-O!#8$"+pCQy$*!"'7$$"+#G35g$!#8$"+#GJ8P*!"'7$$"+B?r*f$!#8$"+v\iy$*!"'7$$"+(p;%)f$!#8$"1*****zft:P*!#77$$"+-B7(f$!#8$"+Ur')y$*!"'7$$"+R)Gef$!#8$"+#e:=P*!"'7$$"+0j`%f$!#8$"+v*3"z$*!"'7$$")ZC$f$!#6$"*Bd?P*!"&7$$"+BS&>f$!#8$"+p/Nz$*!"'7$$"+tUm!f$!#8$"+R&)Hs$*!"'7$$"+\aP*e$!#8$"+J;fz$*!"'7$$"+\v3)e$!#8$"+<&RDP*!"'7$$"+u0!oe$!#8$"+fC$)z$*!"'7$$"+@X^&e$!#8$"+d,ys$*!"'7$$"+"RHUe$!#8$"+^H2!Q*!"'7$$"+"=XHe$!#8$"+m/-t$*!"'7$$"+"*=m"e$!#8$"+8JJ!Q*!"'7$$"*_z.e$!#7$"+[/Et$*!"'7$$"+n!)4zN!#8$"+UHb!Q*!"'7$$"+Jv"yd$!#8$"+#4+NP*!"'7$$"+6z`wN!#8$"+QCz!Q*!"'7$$"+1#f_d$!#8$"+0%RPP*!"'7$$"+:9)Rd$!#8$"+0;."Q*!"'7$$"+PXqsN!#8$"+'QyRP*!"'7$$"+r&G9d$!#8$"+T/F"Q*!"'7$$"+<N:qN!#8$"*/<UP*!"&7$$"+s$z)oN!#8$"+[*3:Q*!"'7$$"+OhgnN!#8$"1*****zObWP*!#77$$"+4QLmN!#8$"1*****z7Z<Q*!#77$$"+*Qi]c$!#8$"+kLpu$*!"'7$$"+v=zjN!#8$"+y\)>Q*!"'7$$"+mA_iN!#8$"+L5$\P*!"'7$$"+hNDhN!#8$"+,DA#Q*!"'7$$"*w&)*fN!#7$"+w$o^P*!"'7$$"+h)=(eN!#8$"+(pfCQ*!"'7$$"+kGXdN!#8$"1,++$R0aP*!#77$$"+nx=cN!#8$"1*****pc'p#Q*!#77$$"+pN#\b$!#8$"+#3UcP*!"'7$$"*FgOb$!#7$"*6LHQ*!"&7$$"+pyR_N!#8$"+Y%yeP*!"'7$$"+kj8^N!#8$"*LpJQ*!"&7$$"+ad()\N!#8$"+)[9hP*!"'7$$"*/;'[N!#7$"+E_S$Q*!"'7$$"+>sNZN!#8$"+/-Nw$*!"'7$$"+"H*4YN!#8$"+,3k$Q*!"'7$$"+bA%[a$!#8$"+*f&ew$*!"'7$$"+4heVN!#8$"*0wQQ*!"&7$$"+a3LUN!#8$"+o1#oP*!"'7$$"+([w5a$!#8$"+y46%Q*!"'7$$"+4I#)RN!#8$"*UbqP*!"&7$$"+=/dQN!#8$"+'eXVQ*!"'7$$"+7(=t`$!#8$"+Z)*Gx$*!"'7$$"+#*y1ON!#8$"*()zXQ*!"&7$$"+dz"[`$!#8$"+dR_x$*!"'7$$"+0*oN`$!#8$"+PQ"[Q*!"'7$$"+N2KKN!#8$"+Zxvx$*!"'7$$"+YM2JN!#8$"+%[Z]Q*!"'7$$"+Qq#)HN!#8$"+;7*zP*!"'7$$"*^"eGN!#7$"+83G&Q*!"'7$$"+hoLFN!#8$"+pVAy$*!"'7$$"+*3$4EN!#8$"+AQ^&Q*!"'7$$"+%>][_$!#8$"+,sXy$*!"'7$$"+v"3O_$!#8$"+8lu&Q*!"'7$$"+JqOAN!#8$"+<(*oy$*!"'7$$"+hn7@N!#8$"+"*)yfQ*!"'7$$"+kt))>N!#8$"+=>#*y$*!"'7$$"+R)['=N!#8$"+^4@'Q*!"'7$$"+&=6u^$!#8$"+.Q:z$*!"'7$$"+-W<;N!#8$"+$pUkQ*!"'7$$"+*[Q\^$!#8$"+t`Qz$*!"'7$$"+VMq8N!#8$"+ATn'Q*!"'7$$"+m#pC^$!#8$"+Fmhz$*!"'7$$"+bfB6N!#8$"+R_!pQ*!"'7$$"*^.+^$!#7$"*dZ)z$*!"&7$$"*$>x3N!#7$"*/OrQ*!"&7$$"+97a2N!#8$"+*>y+Q*!"'7$$"*O6j]$!#7$"1******GlO(Q*!#77$$"+pB30N!#8$"+6&3.Q*!"'7$$"*CaQ]$!#7$"+/nf(Q*!"'7$$"*(pi-N!#7$"+>&Q0Q*!"'7$$"*c+9]$!#7$"+ol#yQ*!"'7$$"+4]<+N!#8$"+6#o2Q*!"'7$$"+:.&*)\$!#8$"+Ch0)Q*!"'7$$"+yks(\$!#8$"+)e(*4Q*!"'7$$"+'\.l\$!#8$"+m`G)Q*!"'7$$"*P"G&\$!#7$"*mE7Q*!"&7$$"+)4gS\$!#8$")V^)Q*!"%7$$"+z'RG\$!#8$"1*****>Ub9Q*!#77$$"+7,i"\$!#8$"+CHu)Q*!"'7$$"+'R,/\$!#8$"+zQo"Q*!"'7$$"+JN=*[$!#8$"+R7(*)Q*!"'7$$"+;l'z[$!#8$"*-7>Q*!"&7$$"+\.v'[$!#8$"+\#*>*Q*!"'7$$"*.Nb[$!#7$"+j)R@Q*!"'7$$"+d0K%[$!#8$"+\pU*Q*!"'7$$"+Jp5$[$!#8$"+*QnBQ*!"'7$$"*:%*=[$!#7$"+WVl*Q*!"'7$$"+9Ao![$!#8$"+<Yf#Q*!"'7$$"*7r%zM!#7$"*V"))*Q*!"&7$$"*(3EyM!#7$"+M:#GQ*!"'7$$"*Y^qZ$!#7$"+8#3,R*!"'7$$"+#*G%eZ$!#8$"+Y"[IQ*!"'7$$"+j^juM!#8$"+$pM.R*!"'7$$"+u#GMZ$!#8$"+aWF$Q*!"'7$$"+AAAsM!#8$"+m3c!R*!"'7$$"+3q,rM!#8$"+j/]$Q*!"'7$$"*j7)pM!#7$"+Pny!R*!"'7$$"+)34'oM!#8$"+mhs$Q*!"'7$$"*Q1uY$!#7$"+.B,"R*!"'7$$"+1X?mM!#8$"+l:&RQ*!"'7$$"+lM+lM!#8$"+ovB"R*!"'7$$"+cK!QY$!#8$"*mwTQ*!"&7$$"+yQgiM!#8$"+JDY"R*!"'7$$"+J`ShM!#8$"+b9S%Q*!"'7$$"+7w?gM!#8$"+$>(o"R*!"'7$$"+B2,fM!#8$"*&fi%Q*!"&7$$"+hY"yX$!#8$"+c:">R*!"'7$$"+E%>mX$!#8$"+Z,&[Q*!"'7$$"+<]UbM!#8$"+<c8#R*!"'7$$"+M9BaM!#8$"+WS2&Q*!"'7$$"+u'QIX$!#8$"*QfBR*!"&7$$"+Qn%=X$!#8$"+UwH&Q*!"'7$$"+Dcl]M!#8$"+UGe#R*!"'7$$"+L`Y\M!#8$"+N4_&Q*!"'7$$"+ieF[M!#8$"+3g!GR*!"'7$$"+6s3ZM!#8$"*%Ru&Q*!"&7$$"*Q**eW$!#7$"+w)GIR*!"'7$$"+nBrWM!#8$"*kmfQ*!"&7$$"+rh_VM!#8$"1*****zW^KR*!#77$$"+#zSBW$!#8$"+Y!*='Q*!"'7$$"+Gi:TM!#8$"+APZ$R*!"'7$$"*[s*RM!#7$"+f6T'Q*!"'7$$"+Y&*yQM!#8$"+,dp$R*!"'7$$"+DugPM!#8$"+sHj'Q*!"'7$$"+<hUOM!#8$"+%Q<RR*!"'7$$"*iX_V$!#7$"+"\aoQ*!"'7$$"+Mf1MM!#8$"+v(QTR*!"'7$$"+eq)GV$!#8$"+<d2(Q*!"'7$$"+"**3<V$!#8$"+o)fVR*!"'7$$"+K<`IM!#8$"+amH(Q*!"'7$$"+"Gb$HM!#8$"+s1e%R*!"'7$$"+P'z"GM!#8$"+#H<vQ*!"'7$$"+)z/qU$!#8$"*=,[R*!"&7$$"+k2$eU$!#8$"+Owt(Q*!"'7$$"+MvlCM!#8$"+'R@]R*!"'7$$"+3^[BM!#8$"+"pdzQ*!"'7$$"+%[8BU$!#8$"+C8C&R*!"'7$$"+iE9@M!#8$"+eu<)Q*!"'7$$"*ks*>M!#7$"1*****f&4Y&R*!#77$$"+>M!)=M!#8$"+EpR)Q*!"'7$$"+(*\j<M!#8$"+-.o&R*!"'7$$"+ttY;M!#8$"+6hh)Q*!"'7$$"+Y0I:M!#8$"+b$**eR*!"'7$$"+<X89M!#8$"+-]$))Q*!"'7$$"+$GpHT$!#8$"*7=hR*!"&7$$"+X[!=T$!#8$"+6O0*Q*!"'7$$"+,7k5M!#8$"+'fOjR*!"'7$$"*Ny%4M!#7$"+D>F*Q*!"'7$$"+#H;$3M!#8$"+$yalR*!"'7$$"+E]:2M!#8$"+^**[*Q*!"'7$$"*b%*fS$!#7$"*osnR*!"&7$$"+m[$[S$!#8$"+%p2(*Q*!"'7$$"*(fn.M!#7$"+&H!*pR*!"'7$$"+jy^-M!#8$"+V^#**Q*!"'7$$"+W0O,M!#8$"+@w?(R*!"'7$$"+7S?+M!#8$"+:B9!R*!"'7$$"+m#[!*R$!#8$"+hYU(R*!"'7$$"+1L*yR$!#8$"+#>f.R*!"'7$$"*8RnR$!#7$"+;9k(R*!"'7$$"+Rde&R$!#8$"+$zv0R*!"'7$$"*8LWR$!#7$"+()y&yR*!"'7$$"+.8G$R$!#8$"+0@z!R*!"'7$$"+e-8#R$!#8$"+tS2)R*!"'7$$"+$**z4R$!#8$"+M"35R*!"'7$$"+30$)*Q$!#8$"+v**G)R*!"'7$$"+.=o)Q$!#8$"+uQA"R*!"'7$$"+vQ`(Q$!#8$"+&f0&)R*!"'7$$"+DnQ'Q$!#8$"+P$R9R*!"'7$$"+_.C&Q$!#8$"*$4s)R*!"&7$$"+bZ4%Q$!#8$"1*****p^a;R*!#77$$"+K*\HQ$!#8$"+%)f$*)R*!"'7$$"+%)e!=Q$!#8$"+9%p=R*!"'7$$"*hi1Q$!#7$"+f2:*R*!"'7$$"+3,_zL!#8$"+MS3#R*!"'7$$"+y$y$yL!#8$"+^_O*R*!"'7$$"*UPsP$!#7$"+r$)H#R*!"'7$$"+Ks4wL!#8$"+k%z&*R*!"'7$$"+8y&\P$!#8$"+CC^#R*!"'7$$"+j">QP$!#8$"+%R$z*R*!"'7$$"+#G"osL!#8$"+,is#R*!"'7$$"+nTarL!#8$"+Zq++%*!"'7$$"+>ySqL!#8$"+*pRHR*!"'7$$"+PAFpL!#8$"+@/A+%*!"'7$$"*UP"oL!#7$"*#H:$R*!"&7$$"+nL+nL!#8$"+>NV+%*!"'7$$"+x+(eO$!#8$"+keO$R*!"'7$$"*bPZO$!#7$"+Ojk+%*!"'7$$"+&y0OO$!#8$"+D&yNR*!"'7$$"+"yuCO$!#8$"+y)e3S*!"'7$$"+QXMhL!#8$"+94z$R*!"'7$$"+a]@gL!#8$"+V62,%*!"'7$$"+Hj3fL!#8$"+DI+%R*!"'7$$"+h$ezN$!#8$"+JJG,%*!"'7$$"+^6$oN$!#8$"+e[@%R*!"'7$$"+)p/dN$!#8$"+Y[\,%*!"'7$$"(zXN$!#5$"*UEWR*!"&7$$"+eSX`L!#8$"+&G1<S*!"'7$$"+p)HBN$!#8$"+/xj%R*!"'7$$"+Mk?^L!#8$"+Zu">S*!"'7$$"+_P3]L!#8$"+;([[R*!"'7$$"+A='*[L!#8$"+R$G@S*!"'7$$"+V1%yM$!#8$"1*****fXf]R*!#77$$"+9-sYL!#8$"+a*QBS*!"'7$$"+N0gXL!#8$"+=*p_R*!"'7$$"+0;[WL!#8$")$\DS*!"%7$$"+CMOVL!#8$"+9,[&R*!"'7$$"+*)fCUL!#8$"+s$fFS*!"'7$$"+-$H6M$!#8$"+K+p&R*!"'7$$"*O8+M$!#7$"*<pHS*!"&7$$"+k")*)QL!#8$"+%o**eR*!"'7$$"+7PyPL!#8$"+*pyJS*!"'7$$"+.+nOL!#8$"+j!4hR*!"'7$$"+QqbNL!#8$"1*****p&zQ.%*!#77$$"+:[WML!#8$"+r"=jR*!"'7$$"+LLLLL!#8$"+Xpf.%*!"'7$$"+#fAAL$!#8$"+1q_'R*!"'7$$"+#f76L$!#8$"+jc!QS*!"'7$$"*L.+L$!#7$"+vbt'R*!"'7$$"+2[*)GL!#8$"+9T,/%*!"'7$$"+AqyFL!#8$"+xQ%pR*!"'7$$"+t*zmK$!#8$"+&HAUS*!"'7$$"+hOdDL!#8$"+2>:(R*!"'7$$"+&3oWK$!#8$"+4-V/%*!"'7$$"+WKOBL!#8$"+r'ftR*!"'7$$"+O"fAK$!#8$"+_yj/%*!"'7$$"+id:@L!#8$"+orc(R*!"'7$$"+@J0?L!#8$"+K_%[S*!"'7$$"+67&*=L!#8$"+)RuxR*!"'7$$"+L+&yJ$!#8$"1*****>M_]S*!#77$$"+&e\nJ$!#8$"+h8)zR*!"'7$$"+n)\cJ$!#8$"+(=f_S*!"'7$$"+y3b9L!#8$"+e!)=)R*!"'7$$"+=EX8L!#8$"+pdY0%*!"'7$$"+%3bBJ$!#8$"+*[%R)R*!"'7$$"+y#e7J$!#8$"+%3scS*!"'7$$"+)>i,J$!#8$"+e1g)R*!"'7$$"+Vo14L!#8$"+M"yeS*!"'7$$"+8A(zI$!#8$"*c1))R*!"&7$$"+2$yoI$!#8$"+@R31%*!"'7$$"+C^y0L!#8$"+-A,*R*!"'7$$"+kEp/L!#8$"+W%*G1%*!"'7$$"+D4g.L!#8$"+wv@*R*!"'7$$"+3*4DI$!#8$"+.Z\1%*!"'7$$"*h>9I$!#7$"*pA%*R*!"&7$$"+L+L+L!#8$"+-(*p1%*!"'7$$"+v6C*H$!#8$"+Uvi*R*!"'7$$"+MI:)H$!#8$"+RW!pS*!"'7$$"+7c1(H$!#8$"+L@$)*R*!"'7$$"+1*yfH$!#8$"+8*3rS*!"'7$$"+;H*[H$!#8$"+jk.+%*!"'7$$"+Uw!QH$!#8$"+EJJ2%*!"'7$$"+#3BFH$!#8$"+K0C+%*!"'7$$"+O#R;H$!#8$"+yq^2%*!"'7$$"+/hb!H$!#8$"*MW/S*!"&7$$"+%ot%*G$!#8$"1,++t2s2%*!#77$$"+w>R)G$!#8$"+')yk+%*!"'7$$"*)4J(G$!#7$"+1U#zS*!"'7$$"+$pIiG$!#8$"+x6&3S*!"'7$$"+<6:&G$!#8$"*QF"3%*!"&7$$"*DsSG$!#7$"+1U0,%*!"'7$$"+"4%*HG$!#8$"+)HI$3%*!"'7$$"+Rm">G$!#8$"*)pD,%*!"&7$$"+&*)R3G$!#8$"+cH`3%*!"'7$$"+dQwzK!#8$"+#\f9S*!"'7$$"+D&)oyK!#8$"+c`t3%*!"'7$$"+(*QhxK!#8$"+\<m,%*!"'7$$"+u*RlF$!#8$"+*\P*3%*!"'7$$"+anYvK!#8$"*vj=S*!"&7$$"+PURuK!#8$"+(QR"4%*!"'7$$"+ACKtK!#8$"+&\l?S*!"'7$$"+48DsK!#8$"+=5M4%*!"'7$$"+'*3=rK!#8$"+&)pE-%*!"'7$$"+%=6,F$!#8$"+%RU&4%*!"'7$$"+r@/pK!#8$"+>#oCS*!"'7$$"+cQ(zE$!#8$"+:Nu4%*!"'7$$"*C1pE$!#7$"+(>pES*!"'7$$"+@$ReE$!#8$"+$QW*4%*!"'7$$"+)4tZE$!#8$"+C*pGS*!"'7$$"+svqjK!#8$"+#*\95%*!"'7$$"+TFkiK!#8$"+"RqIS*!"'7$$"+/'y:E$!#8$"+``M5%*!"'7$$"+h^^gK!#8$"+81F.%*!"'7$$"+7CXfK!#8$"+daa5%*!"'7$$"+b.ReK!#8$"+t0Z.%*!"'7$$"***GtD$!#7$"*JX2T*!"&7$$"+;$oiD$!#8$"+*GqOS*!"'7$$"+L$3_D$!#8$"+6\%4T*!"'7$$"*/\TD$!#7$"+\(pQS*!"'7$$"+O/4`K!#8$"*EW6T*!"&7$$"*_K?D$!#7$"+e*oSS*!"'7$$"+$Hv4D$!#8$"+fLM6%*!"'7$$"+_(=*\K!#8$"+7zE/%*!"'7$$"+)*G')[K!#8$"+1Aa6%*!"'7$$"*t2yC$!#7$"+@mY/%*!"'7$$"+ZKvYK!#8$"+-3u6%*!"'7$$"+[%*pXK!#8$"*3lYS*!"&7$$"+MjkWK!#8$"+\"R>T*!"'7$$"+-RfVK!#8$"+)Gj[S*!"'7$$"+`@aUK!#8$"+Ys87%*!"'7$$"+'3"\TK!#8$"+Y710%*!"'7$$")2WSK!#6$"+(4NBT*!"'7$$"+%*4RRK!#8$"+a*e_S*!"'7$$"+p>MQK!#8$"+(pKDT*!"'7$$"+BOHPK!#8$"+<kX0%*!"'7$$"+bfCOK!#8$"+[+t7%*!"'7$$"+l*)>NK!#8$"+HOl0%*!"'7$$"+_E:MK!#8$"+br#HT*!"'7$$"+;q5LK!#8$"+(f]eS*!"'7$$"+c?1KK!#8$"+9S78%*!"'7$$"+rx,JK!#8$"*KZgS*!"&7$$"*;u*HK!#7$"+C1K8%*!"'7$$"+C7$*GK!#8$"+$zViS*!"'7$$"+h*))yA$!#8$"+*)p^8%*!"'7$$"*PZoA$!#7$"*-SkS*!"&7$$"+_k!eA$!#8$"+4Jr8%*!"'7$$"+/iwCK!#8$"+3gj1%*!"'7$$"+GmsBK!#8$"+%)*3RT*!"'7$$"+AxoAK!#8$"+Y<$oS*!"'7$$"+&[\;A$!#8$"+:Y59%*!"'7$$"+;>h?K!#8$"*CFqS*!"&7$$"+;]d>K!#8$"+.+I9%*!"'7$$"+$yQ&=K!#8$"+)[AsS*!"'7$$"+=K]<K!#8$"+Y^\9%*!"'7$$"+=$ok@$!#8$"+(\<uS*!"'7$$"+%3Ma@$!#8$"1*****R/!p9%*!#77$$"+90S9K!#8$"+hAh2%*!"'7$$"+4wO8K!#8$")Z)[T*!"%7$$"+o`L7K!#8$"*y1yS*!"&7$$"+*y.8@$!#8$"+:"z]T*!"'7$$"+tGF5K!#8$"+f5+3%*!"'7$$"+>EC4K!#8$"+(Gt_T*!"'7$$"+DI@3K!#8$"+%4&>3%*!"'7$$"+#4%=2K!#8$"+=sY:%*!"'7$$"+>e:1K!#8$"**))Q3%*!"&7$$"+0#G^?$!#8$"+14m:%*!"'7$$"*D,T?$!#7$"+YCe3%*!"'7$$"+_\2.K!#8$"+cV&eT*!"'7$$"+7$\??$!#8$"+idx3%*!"'7$$"+GV-,K!#8$"+kv/;%*!"'7$$"#K!"&$"+M)o*3%*!"'7$$"+Gj(*)>$!#8$"+L0C;%*!"'7$$"*J`z>$!#7$"+r;;4%*!"'7$$"+Y4$p>$!#8$"+kKV;%*!"'7$$"+O#4f>$!#8$"+kUN4%*!"'7$$"+z"))[>$!#8$"+bdi;%*!"'7$$"+ux'Q>$!#8$"+Bma4%*!"'7$$"*-[G>$!#7$"+3!=oT*!"'7$$"+=*G=>$!#8$"+V(Q(4%*!"'7$$"+m/"3>$!#8$"+A+,<%*!"'7$$"+jEz*=$!#8$"+G1$*4%*!"'7$$"*^v()=$!#7$"+)z,sT*!"'7$$"+0!fx=$!#8$"+pA75%*!"'7$$"+[Ju'=$!#8$"1*****4M$R<%*!#77$$"+Rzs&=$!#8$"+"o8.T*!"'7$$"+wLr%=$!#8$"1*****\k%e<%*!#77$$"+f%*p$=$!#8$"+`[]5%*!"'7$$"+(='o#=$!#8$"*rvxT*!"&7$$"*ct;=$!#7$"+(y&p5%*!"'7$$"+y:m!=$!#8$"+Vl'zT*!"'7$$"+Q-lzJ!#8$"+'[')3T*!"'7$$"+U&R'yJ!#8$"*9d"=%*!"&7$$"+)[Hw<$!#8$"+^p26%*!"'7$$"+w+iwJ!#8$"+-vM=%*!"'7$$"+08hvJ!#8$"+#=n7T*!"'7$$"+vJguJ!#8$"+Gw`=%*!"'7$$"+%o&ftJ!#8$"*=d9T*!"&7$$"+K))esJ!#8$"+Avs=%*!"'7$$"*i#erJ!#7$"+Vpk6%*!"'7$$"+XqdqJ!#8$"+$=<*=%*!"'7$$"+3@dpJ!#8$"1*****>ZO=T*!#77$$"+2ycoJ!#8$"+3m5>%*!"'7$$"+VTcnJ!#8$"+od-7%*!"'7$$"+:6cmJ!#8$"+/eH>%*!"'7$$"+@(eb;$!#8$"+N[@7%*!"'7$$"+ipbkJ!#8$"+lZ[>%*!"'7$$"+PebjJ!#8$"+nOS7%*!"'7$$"+X`biJ!#8$"+'\t'>%*!"'7$$"+&[b:;$!#8$"+mAf7%*!"'7$$"+eibgJ!#8$"+&*>')>%*!"'7$$"+iwbfJ!#8$"+P1y7%*!"'7$$"+(pf&eJ!#8$"+h-0?%*!"'7$$"+iBcdJ!#8$"+t(oHT*!"'7$$"+dcccJ!#8$"+)HQ-U*!"'7$$"*epb:$!#7$"+"ocJT*!"'7$$"+KTdaJ!#8$"+0hU?%*!"'7$$"+8$zN:$!#8$"*OWLT*!"&7$$"*7&e_J!#7$"+%o81U*!"'7$$"+a:f^J!#8$"+6=`8%*!"'7$$"+9')f]J!#8$"+K5!3U*!"'7$$"+*H1'\J!#8$"+F!>PT*!"'7$$"*h9'[J!#7$"+_"))4U*!"'7$$"+WNiZJ!#8$"+@g!RT*!"'7$$"+.JjYJ!#8$"+U]<@%*!"'7$$"+%GVc9$!#8$"+"y#49%*!"'7$$"+)3aY9$!#8$"+.<O@%*!"'7$$"+9bmVJ!#8$"+<$zUT*!"'7$$"+hvnUJ!#8$"+Q"[:U*!"'7$$"+H-pTJ!#8$"+DcY9%*!"'7$$"+=NqSJ!#8$"+YVt@%*!"'7$$"+DurRJ!#8$"+0<l9%*!"'7$$"+_>tQJ!#8$"+G.#>U*!"'7$$"+)4Zx8$!#8$"+hv$[T*!"'7$$"+hGwOJ!#8$"+"31@U*!"'7$$"+T#zd8$!#8$"+*=B]T*!"'7$$"+QizMJ!#8$"+6;HA%*!"'7$$"+^Q"Q8$!#8$"+%f3_T*!"'7$$"*3KG8$!#7$"+:pZA%*!"'7$$"+C4&=8$!#8$"*x$R:%*!"&7$$"+#Qq38$!#8$"+$*>mA%*!"'7$$"+a/*)HJ!#8$"+B(ybT*!"'7$$"+R6"*GJ!#8$"+Zo%GU*!"'7$$"+PC$z7$!#8$"+[Mw:%*!"'7$$"+YV&p7$!#8$"+v9.B%*!"'7$$"+oo(f7$!#8$"+bz%fT*!"'7$$"%DJ!"($"*)e@B%*!"&7$$"+VP-CJ!#8$"+LA8;%*!"'7$$"+&4[I7$!#8$"+j+SB%*!"'7$$"+cI2AJ!#8$"+)G;jT*!"'7$$"+F')4@J!#8$"+ASeB%*!"'7$$"+0[7?J!#8$"1*****f7+lT*!#77$$"+"f^">J!#8$"+exwB%*!"'7$$"+$)*y"=J!#8$"+NPo;%*!"'7$$"+$)p?<J!#8$"+r7&RU*!"'7$$"+(eNi6$!#8$"+Fr'oT*!"'7$$"+)zk_6$!#8$"+kX8C%*!"'7$$"+7YH9J!#8$"1,++&H]qT*!#77$$"+J]K8J!#8$"1*****Rj<VU*!#77$$"+agN7J!#8$"*CLsT*!"&7$$"+zwQ6J!#8$"+%[+XU*!"'7$$"+2*>/6$!#8$"+ifT<%*!"'7$$"+OFX4J!#8$"+6JoC%*!"'7$$"+nh[3J!#8$"+n%)f<%*!"'7$$"+*>?v5$!#8$"+@b'[U*!"'7$$"+J[b1J!#8$"+a2y<%*!"'7$$"+i+f0J!#8$"+4x/D%*!"'7$$"+$*ei/J!#8$"+<G'zT*!"'7$$"+ABm.J!#8$"+z'H_U*!"'7$$"+[$*p-J!#8$"+pY9=%*!"'7$$"+tpt,J!#8$"+E9TD%*!"'7$$"+%>v25$!#8$"+#HE$=%*!"'7$$"+6S")*4$!#8$"*'HfD%*!"&7$$"+CM&))4$!#8$"+.x]=%*!"'7$$"+KM*y4$!#8$"+rUxD%*!"'7$$"+NS$p4$!#8$"+'*))o=%*!"'7$$"+K_(f4$!#8$"1*****zObfU*!#77$$"+Bq,&4$!#8$"1,++m)p)=%*!#77$$"+1%fS4$!#8$"+Xi8E%*!"'7$$"+#Q-J4$!#8$"+C10>%*!"'7$$"+\f9#4$!#8$"+1pJE%*!"'7$$"+3,>"4$!#8$"+k6B>%*!"'7$$"+e[B!4$!#8$"+\t\E%*!"'7$$"+)>!G*3$!#8$"+"[6%>%*!"'7$$"+FhK)3$!#8$"+wvnE%*!"'7$$"+YEP(3$!#8$"+"f"f>%*!"'7$$"+`(>k3$!#8$"+'edoU*!"'7$$"+[uY&3$!#8$"+y9x>%*!"'7$$"+Jd^%3$!#8$"+$QPqU*!"'7$$"+,Yc$3$!#8$"+`6&*>%*!"'7$$"+dSh#3$!#8$"+mp@F%*!"'7$$"+*4k;3$!#8$"+;18?%*!"'7$$"+EZr!3$!#8$"+KjRF%*!"'7$$"+QfwzI!#8$"+h)4.U*!"'7$$"+Mx")yI!#8$"+"[vvU*!"'7$$"+9,(y2$!#8$"+%*))[?%*!"'7$$"+xI#p2$!#8$"*UaxU*!"&7$$"+Bm(f2$!#8$"+4xm?%*!"'7$$"*vI]2$!#7$"1*****\9LzU*!#77$$"*Y&3uI!#7$"+=j%3U*!"'7$$"*vSJ2$!#7$"+a;6G%*!"'7$$"+@m>sI!#8$"+3Z-@%*!"'7$$"+rIDrI!#8$"+_**GG%*!"'7$$"+,,JqI!#8$"+()G?@%*!"'7$$"*rn$pI!#7$"+R!o%G%*!"'7$$"+)*eUoI!#8$"+`3Q@%*!"'7$$"+jY[nI!#8$"*"fkG%*!"&7$$"+0SamI!#8$"1*****pge:U*!#77$$"+CRglI!#8$"+tN#)G%*!"'7$$"+>WmkI!#8$"+\ht@%*!"'7$$"*\DP1$!#7$"+B5+H%*!"'7$$"+OryiI!#8$"+zM">U*!"'7$$"+d$\=1$!#8$"+i#y"H%*!"'7$$"+_@"41$!#8$"+-14A%*!"'7$$"*_v*fI!#7$"+"Hb$H%*!"'7$$"+i%R!fI!#8$"+8vEA%*!"'7$$"+wR5eI!#8$"+4@`H%*!"'7$$"+h!pr0$!#8$"+6UWA%*!"'7$$"+>ZBcI!#8$"+<(3(H%*!"'7$$"+Z4IbI!#8$"+.2iA%*!"'7$$"+YxOaI!#8$"+<^))H%*!"'7$$"+9^V`I!#8$"+$)pzA%*!"'7$$"+_I]_I!#8$"+281I%*!"'7$$"+f:d^I!#8$"+bI(HU*!"'7$$"+N1k]I!#8$"*HP-V*!"&7$$"+y-r\I!#8$"+@*[JU*!"'7$$"+)[!y[I!#8$"+iITI%*!"'7$$"+l7&y/$!#8$"+"eCLU*!"'7$$"+3E#p/$!#8$"+F')eI%*!"'7$$"+<X*f/$!#8$"+G+]B%*!"'7$$"+"*p1XI!#8$"+%)RwI%*!"'7$$"*.ST/$!#7$"1*****zEvOU*!#77$$"+MO@VI!#8$"+M"R4V*!"'7$$")yGUI!#6$"+,.&QU*!"'7$$"*`i8/$!#7$"+xS6J%*!"'7$$"+ByVSI!#8$"+G^-C%*!"'7$$"+yO^RI!#8$"+:))GJ%*!"'7$$"+%4!fQI!#8$"1*****zu*>C%*!#77$$"+sqmPI!#8$"+VLYJ%*!"'7$$"*hWn.$!#7$"+mTPC%*!"'7$$"+3F#e.$!#8$"*nP;V*!"&7$$"+m8!\.$!#8$"+t$[XU*!"'7$$"+$e!)R.$!#8$"*z6=V*!"&7$$"+e.1LI!#8$"+yBsC%*!"'7$$"+"pS@.$!#8$"+-d)>V*!"'7$$"+#e@7.$!#8$"+wh*[U*!"'7$$"*....$!#7$"+9%f@V*!"'7$$"+N]QHI!#8$"+t(p]U*!"'7$$"+&fn%GI!#8$"+<HLK%*!"'7$$"+62bFI!#8$"+jJCD%*!"'7$$"+$QMm-$!#8$"*A1DV*!"&7$$"+3'=d-$!#8$"+_jTD%*!"'7$$"+)Q.[-$!#8$"+;$zEV*!"'7$$"+@())Q-$!#8$"+M$*eD%*!"'7$$"+2Y(H-$!#8$"*@_GV*!"&7$$"+Y51AI!#8$"+:@wD%*!"'7$$"+O![6-$!#8$"+.\-L%*!"'7$$"+ybB?I!#8$"+*oMfU*!"'7$$"+rOK>I!#8$"+$R(>L%*!"'7$$"+:BT=I!#8$"+nq5E%*!"'7$$"+4:]<I!#8$"+y'pLV*!"'7$$"+_7f;I!#8$"+Q#ziU*!"'7$$"+W:o:I!#8$"+l<aL%*!"'7$$"+&QsZ,$!#8$"+87XE%*!"'7$$"+tP'Q,$!#8$"+ZOrL%*!"'7$$"*rbH,$!#7$"+#)HiE%*!"'7$$"+$>[?,$!#8$"+H`)QV*!"'7$$"+B796I!#8$"+\XzE%*!"'7$$"+)zM-,$!#8$"+8o0M%*!"'7$$"*#*G$4I!#7$"1*****4#f'pU*!#77$$"+'eB%3I!#8$"+$4GUV*!"'7$$"+(z=v+$!#8$"+"4PrU*!"'7$$"+_Xh1I!#8$"+u"*RM%*!"'7$$"+^3r0I!#8$"1******e!3tU*!#77$$"+#p2[+$!#8$"+b+dM%*!"'7$$"+x]!R+$!#8$"1*****p#)yuU*!#77$$"+.I+.I!#8$"+Q2uM%*!"'7$$"+r95-I!#8$"+)R\wU*!"'7$$"*[+7+$!#7$"+>7"\V*!"'7$$"*.+.+$!#7$"+o(>yU*!"'7$$"*7+%**H!#7$"+1:3N%*!"'7$$"*v+&)*H!#7$"+V**)zU*!"'7$$"+=>g(*H!#8$"+#f^_V*!"'7$$"+EOq'*H!#8$"+;*f"G%*!"'7$$"+se!e*H!#8$"*[@aV*!"&7$$"+b'3\*H!#8$"+$pH$G%*!"'7$$"+w>,%*H!#8$"*<"fN%*!"&7$$"+Me6$*H!#8$"+u#*\G%*!"'7$$"+F-A#*H!#8$"+i1wN%*!"'7$$"+d^K"*H!#8$"+a'o'G%*!"'7$$"+A1V!*H!#8$"+f*HfV*!"'7$$"+Am`*)H!#8$"+Qy$)G%*!"'7$$"+cJk))H!#8$"+f!*4O%*!"'7$$"+C-v()H!#8$"+Jo+H%*!"'7$$"+Ey&o)H!#8$"*'zEO%*!"&7$$"*'f'f)H!#7$"+Bc<H%*!"'7$$"+FY2&)H!#8$"*nOkV*!"&7$$"+EQ=%)H!#8$"1******>UMH%*!#77$$"+cNH$)H!#8$"+#=0mV*!"'7$$"+<QS#)H!#8$"*i7&H%*!"&7$$"+4Y^")H!#8$"1******)\tnV*!#77$$"+Jfi!)H!#8$"*$3oH%*!"&7$$"+$yP(zH!#8$"+=;%pV*!"'7$$"+k,&)yH!#8$"+R)[)H%*!"'7$$"+tI'z(H!#8$"+Y&4rV*!"'7$$"+6l2xH!#8$"+dm,I%*!"'7$$"+w/>wH!#8$"+ysFP%*!"'7$$"+p\IvH!#8$"+zU=I%*!"'7$$"+))*>W(H!#8$"*#[WP%*!"&7$$"+Mb`tH!#8$"+6<NI%*!"'7$$"+0;lsH!#8$"+j@hP%*!"'7$$"+-#o<(H!#8$"+Z*=0V*!"'7$$"+C`)3(H!#8$"+=$zxV*!"'7$$"*(H+qH!#7$"+#*foI%*!"'7$$"*9@"pH!#7$"+xi%zV*!"'7$$"+M)R#oH!#8$"+UG&3V*!"'7$$"*0ft'H!#7$"+VI6Q%*!"'7$$"*zyk'H!#7$"+,&>5V*!"'7$$"+^!*flH!#8$"+>'z#Q%*!"'7$$"+M)>Z'H!#8$"*(f=J%*!"&7$$"+Q6%Q'H!#8$"+,gWQ%*!"'7$$"+jH'H'H!#8$"+VANJ%*!"'7$$"+3`3iH!#8$"+">7'Q%*!"'7$$"+t"37'H!#8$"1,++D$=:V*!#77$$"+d:LgH!#8$"+$>y(Q%*!"'7$$"*Yb%fH!#7$"+AUoJ%*!"'7$$"+#))z&eH!#8$"(W*Q%*!"$7$$"+@[qdH!#8$"+C*\=V*!"'7$$"+y-$o&H!#8$"+>'4"R%*!"'7$$"+_i&f&H!#8$"+Na,K%*!"'7$$"+UF3bH!#8$"+\]FR%*!"'7$$"+\(4U&H!#8$"+b2=K%*!"'7$$"+rsL`H!#8$"+(GS%R%*!"'7$$"+4`Y_H!#8$"+&)eMK%*!"'7$$"+hQf^H!#8$"+P`gR%*!"'7$$"+FHs]H!#8$"*$3^K%*!"&7$$"+2D&)\H!#8$"+&>q(R%*!"'7$$"+,E)*[H!#8$"*evEV*!"&7$$"+3K6[H!#8$"+l[$*R%*!"'7$$"+FVCZH!#8$"+W,%GV*!"'7$$"+efPYH!#8$"+\$*4S%*!"'7$$")"3b%H!#6$"+BX+L%*!"'7$$"+a2kWH!#8$"+UOES%*!"'7$$"+=RxVH!#8$"+7(oJV*!"'7$$"+$f2H%H!#8$"+\xUS%*!"'7$$"+x</UH!#8$"*rKLV*!"&7$$"+rk<TH!#8$"+l;fS%*!"'7$$"+t;JSH!#8$"+Bl\L%*!"'7$$"+%QZ%RH!#8$"+*Rb2W*!"'7$$"+.OeQH!#8$"+Y,mL%*!"'7$$"+H.sPH!#8$"*%*=4W*!"&7$$"+iv&o$H!#8$"+*eBQV*!"'7$$"+-`*f$H!#8$")B3T%*!"%7$$"+\N8NH!#8$"+Po)RV*!"'7$$")BFMH!#6$"+raCT%*!"'7$$"+e:TLH!#8$"+0*\TV*!"'7$$"*K^D$H!#7$"+a%39W*!"'7$$"+'e"pJH!#8$"+(y7VV*!"'7$$"+cB$3$H!#8$"+a7dT%*!"'7$$"*jt*HH!#7$"*[vWV*!"&7$$"+2a6HH!#8$"*(QtT%*!"&7$$"+(od#GH!#8$"+()zjM%*!"'7$$"+o/SFH!#8$"+'H'*=W*!"'7$$"+_PaEH!#8$"+:.![V*!"'7$$"+PvoDH!#8$"+T&e?W*!"'7$$"+A=$[#H!#8$"+_C'\V*!"'7$$"+3m(R#H!#8$")1AU%*!"%7$$"+%*=7BH!#8$"*TC^V*!"&7$$"*onA#H!#7$"+wCQU%*!"'7$$"+kRT@H!#8$"+$='GN%*!"'7$$"+[2c?H!#8$"+oTaU%*!"'7$$"+H!3(>H!#8$"+rxWN%*!"'7$$"+4e&)=H!#8$"+xcqU%*!"'7$$"+&3/!=H!#8$"+t"4cV*!"'7$$"+fG:<H!#8$"+,q'GW*!"'7$$"+H@I;H!#8$"+(RqdV*!"'7$$"+&*=X:H!#8$"+V"GIW*!"'7$$"+d@g9H!#8$"+N9$fV*!"'7$$"+9Hv8H!#8$"+-"*=V%*!"'7$$"+lT!H"H!#8$"+$H#4O%*!"'7$$"+6f07H!#8$"*))\LW*!"&7$$"+^"37"H!#8$"+nHDO%*!"'7$$"+&)3O5H!#8$"+v/^V%*!"'7$$"+6T^4H!#8$"+hMTO%*!"'7$$"*$ym3H!#7$"+))3nV%*!"'7$$"+T?#y!H!#8$"1******pPdO%*!#77$$"+Wn(p!H!#8$"+@6$QW*!"'7$$"+Q>81H!#8$"+**QtO%*!"'7$$"+BwG0H!#8$"+t6*RW*!"'7$$"+*zVW!H!#8$"+\Q*oV*!"'7$$"+l/g.H!#8$"+U5:W%*!"'7$$"*idF!H!#7$"*i`qV*!"&7$$"+k_">!H!#8$"+L2JW%*!"'7$$"+(Rt5!H!#8$"+0K@P%*!"'7$$"+>?B+H!#8$"+W-ZW%*!"'7$$"+G6R**G!#8$"+;EPP%*!"'7$$"+D2b)*G!#8$"+t&HYW*!"'7$$"+33r(*G!#8$"+U=`P%*!"'7$$"+z8(o*G!#8$"+B()yW%*!"'7$$"+OC.'*G!#8$"+%*3pP%*!"'7$$"+yR>&*G!#8$"+(pZ\W*!"'7$$"+1gN%*G!#8$"+n(\yV*!"'7$$"+>&=N*G!#8$"+*[1^W*!"'7$$"+;:o#*G!#8$"+a%3!Q%*!"'7$$"+(*\%=*G!#8$"+,^EX%*!"'7$$"+i*35*G!#8$"+op;Q%*!"'7$$"*Tt,*G!#7$"+QNUX%*!"'7$$"+U$Q$*)G!#8$"+2`KQ%*!"'7$$"+bP]))G!#8$"+'z"eX%*!"'7$$"+^'pw)G!#8$"+hM[Q%*!"'7$$"+Gg$o)G!#8$"+y)RdW*!"'7$$"+')G+')G!#8$"+T9kQ%*!"'7$$"+D-<&)G!#8$"*y(*eW*!"&7$$"+W!QV)G!#8$"1*****pC*zQ%*!#77$$"+Wj]$)G!#8$"+/b0Y%*!"'7$$"+B^n#)G!#8$"+oo&*Q%*!"'7$$"*QW=)G!#7$"+_I@Y%*!"'7$$"+<T,")G!#8$"+@V6R%*!"'7$$"+KV=!)G!#8$"+F/PY%*!"'7$$"+C]NzG!#8$"+$fr#R%*!"'7$$"+&>E&yG!#8$"+Bw_Y%*!"'7$$"+UypxG!#8$"+#pG%R%*!"'7$$"+l*po(G!#8$"+VYoY%*!"'7$$"+lD/wG!#8$"+6ceR%*!"'7$$"+Tc@vG!#8$"+([ToW*!"'7$$"+#>*QuG!#8$"+cBuR%*!"'7$$"+=KctG!#8$"+b")*pW*!"'7$$"+>xtsG!#8$"+F*)*)R%*!"'7$$"+%p7>(G!#8$"*larW*!"&7$$"+U")3rG!#8$"+B`0S%*!"'7$$"+kSEqG!#8$"+p4JZ%*!"'7$$"+f/WpG!#8$"+T:@S%*!"'7$$"+EthoG!#8$"+;rYZ%*!"'7$$"+mYznG!#8$"+*en.W*!"'7$$"+xC(p'G!#8$"+(3BwW*!"'7$$"*w]h'G!#7$"+jM_S%*!"'7$$"+8&H`'G!#8$"+%))yxW*!"'7$$"+P(3X'G!#8$"+j"z1W*!"'7$$"+J%)ojG!#8$"+1X$zW*!"'7$$"+%foG'G!#8$"+*oM3W*!"'7$$"+F#\?'G!#8$"+c**3[%*!"'7$$"+H.BhG!#8$"+T+*4W*!"'7$$"+**=TgG!#8$"+N_C[%*!"'7$$"+QRffG!#8$"+>_9T%*!"'7$$"+WkxeG!#8$"+R.S[%*!"'7$$"+<%fz&G!#8$"+G-IT%*!"'7$$"+dG9dG!#8$"+t_b[%*!"'7$$"+knKcG!#8$"+j]XT%*!"'7$$"+O6^bG!#8$"+J+r[%*!"'7$$"+vfpaG!#8$"+C(4;W*!"'7$$"+z7)Q&G!#8$"+>Y')[%*!"'7$$"+Zq1`G!#8$"+;UwT%*!"'7$$"*G`A&G!#7$"+Q!>!\%*!"'7$$"+x*R9&G!#8$"+M&=>W*!"'7$$"+Qri]G!#8$"1******zK<\%*!#77$$"+iZ")\G!#8$"+%os?W*!"'7$$"+\G+\G!#8$"+dtK\%*!"'7$$"+)R">[G!#8$"+fmAU%*!"'7$$"*T!QZG!#7$"*E"[\%*!"&7$$"+$))pl%G!#8$"+r/QU%*!"'7$$"+=)fd%G!#8$"+%*\j\%*!"'7$$"+8-&\%G!#8$"+.T`U%*!"'7$$"+p59WG!#8$"+b&)y\%*!"'7$$"+'QKL%G!#8$"+tvoU%*!"'7$$"+hT_UG!#8$"*&>%*\%*!"&7$$"+(R;<%G!#8$"+t3%GW*!"'7$$"+"444%G!#8$"+u^4]%*!"'7$$"+WA5SG!#8$"+**R*HW*!"'7$$"+beHRG!#8$"+F#[-X*!"'7$$"+B**[QG!#8$"+dp9V%*!"'7$$"+\WoPG!#8$"+76S]%*!"'7$$"+L%zo$G!#8$"+Y(*HV%*!"'7$$"+s[2OG!#8$"+JQb]%*!"'7$$"+o2FNG!#8$"+nBXV%*!"'7$$"*7nW$G!#7$"+yjq]%*!"'7$$"+FRmLG!#8$"+C[gV%*!"'7$$"*>hG$G!#7$"*we3X*!"&7$$"+2*e?$G!#8$"+2rvV%*!"'7$$"+yqDJG!#8$"+r4,^%*!"'7$$"+.dXIG!#8$"+E#4RW*!"'7$$"+#ya'HG!#8$"+<I;^%*!"'7$$"+9V&)GG!#8$"+x61W%*!"'7$$"+*Ha!GG!#8$"+&*[J^%*!"'7$$"+OZDFG!#8$"*'H@W%*!"&7$$"+DcXEG!#8$"+0mY^%*!"'7$$"+lplDG!#8$"+tXOW%*!"'7$$"+d(e[#G!#8$"+Y"=;X*!"'7$$"(hS#G!#5$"+Cg^W%*!"'7$$"+$pjK#G!#8$"+C&p<X*!"'7$$"+OoYAG!#8$"+1tmW%*!"'7$$"+H/n@G!#8$"+N2#>X*!"'7$$"+rW(3#G!#8$"+C%=[W*!"'7$$"+i*y+#G!#8$"*yr?X*!"&7$$"+-RG>G!#8$"+u$p\W*!"'7$$"*H*[=G!#7$"+eEA_%*!"'7$$"+D^p<G!#8$"*;?^W*!"&7$$"+39!p"G!#8$"+tLP_%*!"'7$$"+R"3h"G!#8$"+y2FX%*!"'7$$"+:`J:G!#8$"+@R__%*!"'7$$"+QH_9G!#8$"+L7UX%*!"'7$$"+25t8G!#8$"+1Vn_%*!"'7$$"+A&RH"G!#8$"1*****R_rbW*!#77$$"+"[[@"G!#8$"+CX#GX*!"'7$$"+')yN6G!#8$"+`;sX%*!"'7$$"+Nxc5G!#8$"+zX(HX*!"'7$$"+G!y(4G!#8$"1*****>hreW*!#77$$"+k())*3G!#8$"+rW7`%*!"'7$$"+W**>3G!#8$"+39-Y%*!"'7$$"+n:T2G!#8$"+'>uKX*!"'7$$"+KOi1G!#8$"+Z5<Y%*!"'7$$"+Rh$e!G!#8$"+hPU`%*!"'7$$"+)3\]!G!#8$"+<0KY%*!"'7$$"+zCE/G!#8$"+fJd`%*!"'7$$"+6jZ.G!#8$"+B)pkW*!"'7$$"+$e!p-G!#8$"+)RAPX*!"'7$$"+'H0>!G!#8$"+m*=mW*!"'7$$"+[/7,G!#8$"+s9(QX*!"'7$$"*/O.!G!#7$"+_zwY%*!"'7$$"+s?b*z#!#8$"+%Q?SX*!"'7$$"+U&o()z#!#8$"+un"pW*!"'7$$"*X&)zz#!#7$"+N"pTX*!"'7$$"+(z-sz#!#8$"+Ga1Z%*!"'7$$"+#e?kz#!#8$"+BxJa%*!"'7$$"+.)Qcz#!#8$"+BR@Z%*!"'7$$"+iu&[z#!#8$"+[hYa%*!"'7$$"+el2%z#!#8$"+hAOZ%*!"'7$$"+*3'H$z#!#8$"+:Wha%*!"'7$$"+dg^#z#!#8$"+O/^Z%*!"'7$$"*YO<z#!#7$"+;Dwa%*!"'7$$"+)Hd4z#!#8$"+[%ewW*!"'7$$"+r&y,z#!#8$"*Y5\X*!"&7$$"+z-S*y#!#8$"+,j!yW*!"'7$$"+@Ci)y#!#8$"+W#e]X*!"'7$$"+'*\%yy#!#8$"+#*R&zW*!"'7$$"+/!oqy#!#8$"+ke?b%*!"'7$$"+Y9H'y#!#8$"+>:5[%*!"'7$$"*K:by#!#7$"+FLNb%*!"'7$$"+F'RZy#!#8$"+%*)[#[%*!"'7$$"+lV'Ry#!#8$"*j+bX*!"&7$$"+N&*=$y#!#8$"+0hR[%*!"'7$$"+O^T#y#!#8$"*xZcX*!"&7$$"+o6k"y#!#8$"1*****R:V&[%*!#77$$"+Jw'3y#!#8$"1*****\v%zb%*!#77$$"+BX4!y#!#8$"*0!p[%*!"&7$$"+X=KzF!#8$"+y:%fX*!"'7$$"+(f\&yF!#8$"+#yO)[%*!"'7$$"+yxxxF!#8$"+V#)3c%*!"'7$$"+(Q1qx#!#8$"+dL)*[%*!"'7$$"+DaBwF!#8$"+^ZBc%*!"'7$$"**[YvF!#7$"+u(H"\%*!"'7$$"+%y%puF!#8$"+*4"Qc%*!"'7$$"+/^#Rx#!#8$"+MgF\%*!"'7$$"+^e:tF!#8$"*HFlX*!"&7$$"+DqQsF!#8$"+N@U\%*!"'7$$"+D'=;x#!#8$"+@Lnc%*!"'7$$"+^1&3x#!#8$"+z!o&\%*!"'7$$"+-J3qF!#8$"+(>>oX*!"'7$$"+zfJpF!#8$"+lQr\%*!"'7$$"*G\&oF!#7$"+<\'pX*!"'7$$"+1IynF!#8$"+$\f)\%*!"'7$$"+cr,nF!#8$"+w/6d%*!"'7$$"+H<DmF!#8$"+j\+]%*!"'7$$"+En[lF!#8$"+#)eDd%*!"'7$$"+X@skF!#8$"+"G],X*!"'7$$"+))z&Rw#!#8$"+F6Sd%*!"'7$$"+`U>jF!#8$"+UaH]%*!"'7$$"+R4ViF!#8$"+>iad%*!"'7$$"+[!o;w#!#8$"+W/W]%*!"'7$$"+xb!4w#!#8$"+c6pd%*!"'7$$"+FN9gF!#8$"+*G&e]%*!"'7$$"+)*=QfF!#8$"+Of$yX*!"'7$$"*p?'eF!#7$"+")*H2X*!"'7$$"+,*fyv#!#8$"+f0)zX*!"'7$$"+J&*4dF!#8$"+@X(3X*!"'7$$"+"eRjv#!#8$"+H]7e%*!"'7$$"*0!ebF!#7$"+(*)=5X*!"'7$$"+P4#[v#!#8$"+W$p#e%*!"'7$$"+UA1aF!#8$"+FJ;^%*!"'7$$"+lRI`F!#8$"+-NTe%*!"'7$$"+0ha_F!#8$"+*>28X*!"'7$$"+j')y^F!#8$"+2vbe%*!"'7$$"+P;.^F!#8$"+86X^%*!"'7$$"+G]F]F!#8$"+d8qe%*!"'7$$"+M)=&\F!#8$"+v[f^%*!"'7$$"+dIw[F!#8$"1,++`]%)e%*!#77$$"+%p2![F!#8$"+%[Q<X*!"'7$$"+ZFDZF!#8$"+'f))*e%*!"'7$$"+:#)\YF!#8$"+T>)=X*!"'7$$"+(4Wdu#!#8$"+))>8f%*!"'7$$"+$R!*\u#!#8$"+Y_-_%*!"'7$$"+-rBWF!#8$"+A_Ff%*!"'7$$"+DU[VF!#8$"+$Ro@X*!"'7$$"+h<tUF!#8$"+1$=%f%*!"'7$$"+4(z>u#!#8$"+#R6BX*!"'7$$"*2G7u#!#7$"+O7cf%*!"'7$$"+VoZSF!#8$"+NUX_%*!"'7$$"+FgsRF!#8$"+:Sqf%*!"'7$$"+Bc(*QF!#8$"+Cpf_%*!"'7$$"*jD#QF!#7$"*kY)f%*!"&7$$"+ZgZPF!#8$"+n%RFX*!"'7$$"+vosOF!#8$"+:"*)*f%*!"'7$$"+7"yft#!#8$"+_=)GX*!"'7$$"+f(H_t#!#8$"+N98g%*!"'7$$"+;=[MF!#8$"+&3CIX*!"'7$$"+"GMPt#!#8$"+0OFg%*!"'7$$"+br)Ht#!#8$"+rh;`%*!"'7$$"+P/CKF!#8$"+CcTg%*!"'7$$"+FT\JF!#8$"+/"3LX*!"'7$$"+D#[2t#!#8$"+#\d0Y*!"'7$$"*t-+t#!#7$"+&))\MX*!"'7$$"+UwDHF!#8$"+4#*pg%*!"'7$$"*'H^GF!#7$"+>:f`%*!"'7$$"+&ooxs#!#8$"+v2%3Y*!"'7$$"+;[-FF!#8$"+,It`%*!"'7$$"+_8GEF!#8$"+">#)4Y*!"'7$$"+%HQbs#!#8$"1*****4LuQX*!#77$$"*k&zCF!#7$"+fM7h%*!"'7$$"+"R`Ss#!#8$"+8b,a%*!"'7$$"+Z:JBF!#8$"+tXEh%*!"'7$$"+1,dAF!#8$"+Vl:a%*!"'7$$"+p!H=s#!#8$"+RbSh%*!"'7$$"+N%)3@F!#8$"+FuHa%*!"'7$$"+0#[.s#!#8$"+ejah%*!"'7$$"+w$3'>F!#8$"+d"QWX*!"'7$$"+^*o)=F!#8$"+Eqoh%*!"'7$$"+F*H"=F!#8$"+T(yXX*!"'7$$"+/8R<F!#8$"+Yv#=Y*!"'7$$"+$3`mr#!#8$"+t">ZX*!"'7$$"+j_"fr#!#8$"+;z'>Y*!"'7$$"+Wy<:F!#8$"1*****zXf[X*!#77$$"+D3W9F!#8$"+Q"3@Y*!"'7$$"+1Uq8F!#8$"+'f**\X*!"'7$$"+()z'Hr#!#8$"+7#[AY*!"'7$$"+n@B7F!#8$"+'eR^X*!"'7$$"+Yn\6F!#8$"+R")Qi%*!"'7$$"+C<w5F!#8$"*Vz_X*!"&7$$")r-5F!#6$"+9z_i%*!"'7$$"+vGH4F!#8$"+A">aX*!"'7$$"+Z!f&3F!#8$"+Xvmi%*!"'7$$"+;c#yq#!#8$"+s'ebX*!"'7$$"+$e#42F!#8$"+Hq!GY*!"'7$$"+Y*fjq#!#8$"*2)pb%*!"&7$$"+1xi0F!#8$"+lj%HY*!"'7$$"+ie*[q#!#8$"1*****4KPeX*!#77$$"+8W;/F!#8$"+cb3j%*!"'7$$"*OLMq#!#7$"*VwfX*!"&7$$"+.Fq-F!#8$"+(fCKY*!"'7$$"*Ws>q#!#7$"+(Q:hX*!"'7$$"+sDC,F!#8$"+$\jLY*!"'7$$"+(480q#!#8$"+-UDc%*!"'7$$"+<Sy*p#!#8$"+XA]j%*!"'7$$"+J`0*p#!#8$"+rGRc%*!"'7$$"+PqK)p#!#8$"+\3kj%*!"'7$$"+P"*f(p#!#8$"+$RJlX*!"'7$$"+H;(op#!#8$"+3$zPY*!"'7$$"+8X9'p#!#8$"+n(pmX*!"'7$$"*z<ap#!#7$"+Bw"RY*!"'7$$"+e9p%p#!#8$"+,!3oX*!"'7$$"+<b'Rp#!#8$"*zbSY*!"&7$$"+o*RKp#!#8$"+(3YpX*!"'7$$"+4[^#p#!#8$"+8Q>k%*!"'7$$"*/!z"p#!#7$"+ES3d%*!"'7$$"+ic1"p#!#8$"+%pJVY*!"'7$$"+t;M!p#!#8$"+C=Ad%*!"'7$$"+u!='*o#!#8$"+G%pWY*!"'7$$"+k[*))o#!#8$"+v%ftX*!"'7$$"+V?<)o#!#8$"+<qgk%*!"'7$$"*h\uo#!#7$"*)p\d%*!"&7$$"+mvs'o#!#8$"+iWuk%*!"'7$$"+4f+'o#!#8$"+[Vjd%*!"'7$$"*k%G&o#!#7$"+l<)[Y*!"'7$$"+ePc%o#!#8$"+p:xd%*!"'7$$"+kK%Qo#!#8$"+C*=]Y*!"'7$$"+bJ7$o#!#8$"+V'3zX*!"'7$$"+LMS#o#!#8$"+Qf:l%*!"'7$$"+)4%o"o#!#8$"+wb/e%*!"'7$$"+Z^'4o#!#8$"+6GHl%*!"'7$$"+$eY-o#!#8$"+nB=e%*!"'7$$"+.%G&zE!#8$"+R&HaY*!"'7$$"+31")yE!#8$"+<!>$e%*!"'7$$"+)>$4yE!#8$"+Fhcl%*!"'7$$"+rhPxE!#8$"*_b%e%*!"&7$$"+H&fmn#!#8$"+pDql%*!"'7$$"*FVfn#!#7$"+")=fe%*!"'7$$"+%RF_n#!#8$"*()QeY*!"&7$$"+->^uE!#8$"+,"G(e%*!"'7$$"+"z'ztE!#8$"*.vfY*!"&7$$"+k?3tE!#8$"*=k)e%*!"&7$$"+=xOsE!#8$"+[56m%*!"'7$$"+aPlrE!#8$"+<,+f%*!"'7$$"+r,%4n#!#8$"+DpCm%*!"'7$$"+ppAqE!#8$"+7f8f%*!"'7$$"+[T^pE!#8$"+eEQm%*!"'7$$"+3<!)oE!#8$"+s:Ff%*!"'7$$"+['*3oE!#8$"+_#=lY*!"'7$$"+nzPnE!#8$"+%32%f%*!"'7$$"+nmmmE!#8$"+0Plm%*!"'7$$"+Xd&fm#!#8$"+cCaf%*!"'7$$"+._ClE!#8$"+<!*ym%*!"'7$$"+R]`kE!#8$"+&ox'f%*!"'7$$"+`_#Qm#!#8$"*>CpY*!"&7$$"+Ye6jE!#8$"+zF")f%*!"'7$$"+;oSiE!#8$"+>#fqY*!"'7$$"+j")phE!#8$"+Jx%*f%*!"'7$$"+)))*)4m#!#8$"+7T>n%*!"'7$$"**>GgE!#7$"+TD3g%*!"'7$$"+oWdfE!#8$"+i)GtY*!"'7$$"+Bt')eE!#8$"+6s@g%*!"'7$$"+`0;eE!#8$"+wMYn%*!"'7$$"+fTXdE!#8$"+W<Ng%*!"'7$$"*9[nl#!#7$"+Xzfn%*!"'7$$"+(\Ugl#!#8$"+Th[g%*!"'7$$"+GsLbE!#8$"*GKxY*!"&7$$"+LBjaE!#8$"+"R?1Y*!"'7$$"+8y#Rl#!#8$"+tk'yY*!"'7$$"+nOA`E!#8$"+0Xvg%*!"'7$$"+%*)>Dl#!#8$"+J0+o%*!"'7$$"+%\;=l#!#8$"+$[))3Y*!"'7$$"+oM6^E!#8$"+[W8o%*!"'7$$"+93T]E!#8$"*KA5Y*!"&7$$"+K&3(\E!#8$"+E#o#o%*!"'7$$"+Bm+\E!#8$"+@g:h%*!"'7$$"+&30$[E!#8$"+m=So%*!"'7$$"+=RgZE!#8$"+&e*Gh%*!"'7$$"+BJ!pk#!#8$"+o``o%*!"'7$$"+*p-ik#!#8$"+3IUh%*!"'7$$"+YE]XE!#8$"+K(o'o%*!"'7$$"+iH![k#!#8$"+&Hc:Y*!"'7$$"+\O5WE!#8$"+h>!)o%*!"'7$$"+0ZSVE!#8$"+T%*oh%*!"'7$$"+JhqUE!#8$"+^]$*o%*!"'7$$"+Ez+UE!#8$"+cC#=Y*!"'7$$"*458k#!#7$"+.!o!p%*!"'7$$"+AEhSE!#8$"+H`&>Y*!"'7$$"+Bb"*RE!#8$"*#3?p%*!"&7$$"+"z=#RE!#8$"+n!)3i%*!"'7$$"+FC_QE!#8$"+*\L$p%*!"'7$$"+Jk#yj#!#8$"+o1Ai%*!"'7$$"+-38PE!#8$"+VgYp%*!"'7$$"+RbVOE!#8$"+RJNi%*!"'7$$"+V1uNE!#8$"+_%)fp%*!"'7$$"+8h/NE!#8$"+oa[i%*!"'7$$"+\>NME!#8$"+A2tp%*!"'7$$"+^"eOj#!#8$"+iwhi%*!"'7$$"+=Z'Hj#!#8$"+eG')p%*!"'7$$"*lrAj#!#7$"+>(\FY*!"'7$$"+Z*y:j#!#8$"+e[**p%*!"'7$$"+4m)3j#!#8$"*k")GY*!"&7$$"+MY>IE!#8$"*sE,Z*!"&7$$"+CI]HE!#8$"+DM,j%*!"'7$$"+x<")GE!#8$"*Xe-Z*!"&7$$"+%*37GE!#8$"*3XJY*!"&7$$"+t.VFE!#8$"+X+Rq%*!"'7$$"+:-uEE!#8$"+*fwKY*!"'7$$"*U]gi#!#7$"+0:_q%*!"'7$$"+()4ODE!#8$"+")zSj%*!"'7$$"+;>nCE!#8$"1******HGlq%*!#77$$"+1K)Ri#!#8$"+G#RNY*!"'7$$"+e[HBE!#8$"*-%yq%*!"&7$$"+rogAE!#8$"+W.nj%*!"'7$$"+X#>>i#!#8$"+y]"4Z*!"'7$$"+z>B@E!#8$"+C8!QY*!"'7$$"+t]a?E!#8$"(Y5Z*!"$7$$"+G&e)>E!#8$"1*****p;KRY*!#77$$"+UB<>E!#8$"+)yw6Z*!"'7$$"+:l[=E!#8$"+")G1k%*!"'7$$"+Z5!yh#!#8$"+WuIr%*!"'7$$"+Qf6<E!#8$"+eM>k%*!"'7$$"+)=Jkh#!#8$"+kzVr%*!"'7$$"+'zYdh#!#8$"+0RKk%*!"'7$$"+iF1:E!#8$"+`$o:Z*!"'7$$"+&3zVh#!#8$"+@UXk%*!"'7$$"+mdp8E!#8$"*h)pr%*!"&7$$"+/G,8E!#8$"+,Wek%*!"'7$$"+*>IBh#!#8$"+M(G=Z*!"'7$$"*&zk6E!#7$"*X9ZY*!"&7$$"+dg'4h#!#8$"+C(e>Z*!"'7$$"+@XG5E!#8$"+jV%[Y*!"'7$$"*M.'4E!#7$"+&e)3s%*!"'7$$"+:D#*3E!#8$"+YT(\Y*!"'7$$"+X?C3E!#8$"+6$=AZ*!"'7$$"*$>c2E!#7$"+)z.^Y*!"'7$$"+p@)og#!#8$"+0zMs%*!"'7$$"+jF?1E!#8$"*KL_Y*!"&7$$"*rBbg#!#7$"*PxCZ*!"&7$$"+7]%[g#!#8$"+1FOl%*!"'7$$"+nm;/E!#8$")ngs%*!"%7$$"+v')[.E!#8$"*'>\l%*!"&7$$"+O5"Gg#!#8$"+,fts%*!"'7$$"*vL@g#!#7$"+&3@cY*!"'7$$"+;oX,E!#8$"*(\'GZ*!"&7$$"+M-y+E!#8$"+%3]dY*!"'7$$"+/S5+E!#8$"+2R*HZ*!"'7$$"+E"G%*f#!#8$"+Z*yeY*!"'7$$"+*f_()f#!#8$"+;F7t%*!"'7$$"+Bu2)f#!#8$"*o2gY*!"&7$$"+(f-uf#!#8$"+#R^KZ*!"'7$$"+B"Gnf#!#8$"+#GOhY*!"'7$$"+)*R0'f#!#8$"*%*zLZ*!"&7$$"+B-Q&f#!#8$"+`ZEm%*!"'7$$"+)z1Zf#!#8$"+b$3NZ*!"'7$$"+AP.%f#!#8$"+%4$Rm%*!"'7$$"+'*4O$f#!#8$"+Umjt%*!"'7$$"+=')o#f#!#8$"*J@lY*!"&7$$"+*e;?f#!#8$"+,[wt%*!"'7$$"+3\M"f#!#8$"+&R\mY*!"'7$$"+vNn!f#!#8$"+FG*QZ*!"'7$$"*f-+f#!#7$"+Wtxm%*!"'7$$"+_>L*e#!#8$"+F2-u%*!"'7$$"+i;m)e#!#8$"+t^!pY*!"'7$$"+=<*ze#!#8$"+'\[TZ*!"'7$$"+A@K(e#!#8$"+mG.n%*!"'7$$"+rGl'e#!#8$"+OhFu%*!"'7$$"+nR)fe#!#8$"+N/;n%*!"'7$$"+3aJ&e#!#8$"+ZOSu%*!"'7$$"+'>ZYe#!#8$"+syGn%*!"'7$$"+G$zRe#!#8$"+K5`u%*!"'7$$"+1=J$e#!#8$"+z^Tn%*!"'7$$"+GYk#e#!#8$"+&GeYZ*!"'7$$"+&zx>e#!#8$"+hBan%*!"'7$$"+18J"e#!#8$"+8ayu%*!"'7$$"+h^k!e#!#8$"+=%pwY*!"'7$$"*Oz*zD!#7$"+7C"\Z*!"'7$$"+-RJzD!#8$"+Wjzn%*!"'7$$"+)y['yD!#8$"+#GR]Z*!"'7$$"+;S)zd#!#8$"+RJ#zY*!"'7$$"+)e>td#!#8$"+Eg;v%*!"'7$$"+,blwD!#8$"+4)\!o%*!"'7$$"+d<*fd#!#8$"+UEHv%*!"'7$$"+a$G`d#!#8$"+bj<o%*!"'7$$"+%HlYd#!#8$"1*****>8>aZ*!#77$$"+uD+uD!#8$"+pFIo%*!"'7$$"+'>SLd#!#8$"+$\XbZ*!"'7$$"+e"yEd#!#8$"+f!H%o%*!"'7$$"+hk,sD!#8$"+G<nv%*!"'7$$"+/^NrD!#8$"+B_bo%*!"'7$$"+(3%pqD!#8$"+Qyzv%*!"'7$$"*TL+d#!#7$"+c7oo%*!"'7$$"+tIPpD!#8$"+>Q#fZ*!"'7$$"+vIroD!#8$"*<2)o%*!"&7$$"+;M0oD!#8$"+v'\gZ*!"'7$$"+&4%RnD!#8$"+aH$*o%*!"'7$$"+8^tmD!#8$"+/a<w%*!"'7$$"+pk2mD!#8$"+7'e!p%*!"'7$$"+j"=ac#!#8$"+35Iw%*!"'7$$"+&>gZc#!#8$"+XT=p%*!"'7$$"+kD5kD!#8$"*\EkZ*!"&7$$"*FXMc#!#7$"+Z&4$p%*!"'7$$"+9$)yiD!#8$"+U=bw%*!"'7$$"+%pJ@c#!#8$"*$[Vp%*!"&7$$"*Tv9c#!#7$"*2xmZ*!"&7$$"+i%>3c#!#8$"+))*f&p%*!"'7$$"*&Q;gD!#7$"+r@!oZ*!"'7$$"+u&3&fD!#8$"*-&op%*!"&7$$"+MO&)eD!#8$"*:FpZ*!"&7$$"+G!*>eD!#8$"+G*4)p%*!"'7$$"+dZadD!#8$"+.?0x%*!"'7$$"+@3*ob#!#8$"+/Z$*p%*!"'7$$"+>sBcD!#8$"*twrZ*!"&7$$"+^RebD!#8$"+n$f+Z*!"'7$$"+<5$\b#!#8$"+N8Ix%*!"'7$$"+;%yUb#!#8$"+**Q=q%*!"'7$$"+\hi`D!#8$"+:eUx%*!"'7$$"+:U(Hb#!#8$"+0$3.Z*!"'7$$"+9EK_D!#8$"+s,bx%*!"'7$$"+X8n^D!#8$"+#fK/Z*!"'7$$"+3/-^D!#8$"+.Wnx%*!"'7$$"+/)p.b#!#8$"+anbq%*!"'7$$"+J&>(\D!#8$"+9&)zx%*!"'7$$"*fp!\D!#7$"+"z!oq%*!"'7$$"*)*>%[D!#7$"+(\AzZ*!"'7$$"+,2xZD!#8$"+3Z!3Z*!"'7$$"+_<7ZD!#8$"+hj/y%*!"'7$$"+NJZYD!#8$"+*\G4Z*!"'7$$"+Z[#ea#!#8$"1******)4q"y%*!#77$$"**o<XD!#7$"+m@0r%*!"'7$$"+i#HXa#!#8$"+9PHy%*!"'7$$"+k>)Qa#!#8$"+8d<r%*!"'7$$"+&*\BVD!#8$"*@<%y%*!"&7$$"+b$)eUD!#8$"+N"*Hr%*!"'7$$"+W?%>a#!#8$"+"eS&y%*!"'7$$"+hgHTD!#8$"+PCUr%*!"'7$$"+1/lSD!#8$"+GQmy%*!"'7$$"*30+a#!#7$"+9car%*!"'7$$"+"3g$RD!#8$"+dpyy%*!"'7$$"*T:(QD!#7$"+r'o;Z*!"'7$$"+m52QD!#8$"*'*4*y%*!"&7$$"+\qUPD!#8$"+4;zr%*!"'7$$"+fLyOD!#8$"+VG.z%*!"'7$$"+&**Rh`#!#8$"+@W">Z*!"'7$$"+dp\ND!#8$"+/c:z%*!"'7$$"+YU&[`#!#8$"+9r.s%*!"'7$$"*'=@MD!#7$"+X#y#z%*!"'7$$"))pN`#!#6$"+"of@Z*!"'7$$"+l!GH`#!#8$"+k2Sz%*!"'7$$"+bmGKD!#8$"+M@Gs%*!"'7$$"*dX;`#!#7$"+hJ_z%*!"'7$$"+4[+JD!#8$"+iWSs%*!"'7$$"+sVOID!#8$"+Qakz%*!"'7$$"*EC(HD!#7$"+lm_s%*!"'7$$"+rW3HD!#8$"+#fn(z%*!"'7$$"+1]WGD!#8$"+a([EZ*!"'7$$"+ke!y_#!#8$"+J'*))z%*!"'7$$"+Yq;FD!#8$"+B2xs%*!"'7$$"*bGl_#!#7$"+V:,![*!"'7$$"+w.*e_#!#8$"+nD*GZ*!"'7$$"+DDDDD!#8$"*ML,[*!"&7$$"+'*\hCD!#8$"+'H9IZ*!"'7$$"+*yxR_#!#8$"+9]D![*!"'7$$"+.4MBD!#8$"+,f8t%*!"'7$$"+RVqAD!#8$"+rlP![*!"'7$$"+'4o?_#!#8$"+&QdKZ*!"'7$$"+t@V@D!#8$"+1!)\![*!"'7$$"+slz?D!#8$"+c(yLZ*!"'7$$"*Hh,_#!#7$"+A$>1[*!"'7$$"+Hj_>D!#8$"+,+]t%*!"'7$$"+)o"*)=D!#8$"1******=0u![*!#77$$"+mtD=D!#8$"+K6it%*!"'7$$"+kLi<D!#8$"+*fh3[*!"'7$$"*o*)p^#!#7$"+V@ut%*!"'7$$"+;jN;D!#8$"1*****fb#)4[*!#77$$"*FBd^#!#7$"+HI'QZ*!"'7$$"+V04:D!#8$"+)R.6[*!"'7$$"+M"eW^#!#8$"+1Q)RZ*!"'7$$"+Vg#Q^#!#8$"*7C7[*!"&7$$"*F%>8D!#7$"+eW5u%*!"'7$$"+9Gc7D!#8$"+AZM"[*!"'7$$"+v;$>^#!#8$"+"*\Au%*!"'7$$"+a3I6D!#8$"+0_Y"[*!"'7$$"+\.n5D!#8$"+4aMu%*!"'7$$"+h,/5D!#8$"+sbe"[*!"'7$$"+*G5%4D!#8$"+2dYu%*!"'7$$"+L2y3D!#8$"+Beq"[*!"'7$$"+#\^"3D!#8$"+#*eeu%*!"'7$$"+oD_2D!#8$"+bf#=[*!"'7$$"+eR*o]#!#8$"+cfqu%*!"'7$$"+kcE1D!#8$"*(f%>[*!"&7$$"+&oPc]#!#8$"+,f#[Z*!"'7$$"*-5]]#!#7$"+le1#[*!"'7$$"*n#Q/D!#7$"+Jd%\Z*!"'7$$"+Lcv.D!#8$"+Xc=#[*!"'7$$"+6*GJ]#!#8$"+Ua1v%*!"'7$$"+-D]-D!#8$"+0`I#[*!"'7$$"+2k(=]#!#8$"+R]=v%*!"'7$$"+D1D,D!#8$"+_[U#[*!"'7$$"+c^i+D!#8$"+:XIv%*!"'7$$"#D!"&$"*GWD[*!"&7$$"+c^P*\#!#8$"+yQUv%*!"'7$$"+D1v)\#!#8$"+%fjE[*!"'7$$"+0k7)\#!#8$"+EJav%*!"'7$$"+)\-v\#!#8$"+*y#y#[*!"'7$$"+,*yo\#!#8$"+bAmv%*!"'7$$"+<cD'\#!#8$"+o=!H[*!"'7$$"+VEj&\#!#8$"+p7yv%*!"'7$$"*)*4]\#!#7$"1*****R$3-$[*!#77$$"+GwQ%\#!#8$"+j,!fZ*!"'7$$"+'elP\#!#8$"+"oRJ[*!"'7$$"+aQ9$\#!#8$"+\*=gZ*!"'7$$"+LC_#\#!#8$"+9%eK[*!"'7$$"+@8!>\#!#8$"+:w8w%*!"'7$$"+=0G"\#!#8$"+JqP$[*!"'7$$"+D+m!\#!#8$"+hhDw%*!"'7$$"+T)R+\#!#8$"+Kb\$[*!"'7$$"+l*>%*[#!#8$"+*fujZ*!"'7$$"+)R+))[#!#8$"*#Rh$[*!"&7$$"*9"=)[#!#7$"+AH\w%*!"'7$$"+*=iv[#!#8$"+">KP[*!"'7$$"+YN%p[#!#8$"+E6hw%*!"'7$$"+6_K'[#!#8$"+Z.&Q[*!"'7$$"+%=2d[#!#8$"+:#HnZ*!"'7$$"+j%*3&[#!#8$"+*QoR[*!"'7$$"*0sW[#!#7$"+&>ZoZ*!"'7$$"+V\&Q[#!#8$"+=j3%[*!"'7$$"+V"QK[#!#8$"1,++c]'pZ*!#77$$"+[;i#[#!#8$"+JT?%[*!"'7$$"*Y0?[#!#7$"+-G3x%*!"'7$$"+y&*Q"[#!#8$"*$=K%[*!"&7$$"+,Sx![#!#8$"+M/?x%*!"'7$$"*te,[#!#7$"+9%RW[*!"'7$$"+kPazC!#8$"+ezJx%*!"'7$$"+."H*yC!#8$"+))ob%[*!"'7$$"+YZJyC!#8$"+h`Vx%*!"'7$$"+%p+xZ#!#8$"+XUn%[*!"'7$$"+Yp3xC!#8$"+cEbx%*!"'7$$"+-NZwC!#8$"+*["z%[*!"'7$$"+h.'eZ#!#8$"+J)pwZ*!"'7$$"+DvCvC!#8$"*i3\[*!"&7$$"+"*\juC!#8$"+(*oyx%*!"'7$$"+hF-uC!#8$"+Qc-&[*!"'7$$"+M3TtC!#8$"+bQ!zZ*!"'7$$"+4#*zsC!#8$"+VD9&[*!"'7$$"+')y=sC!#8$"+$p?!y%*!"'7$$"+modrC!#8$"+N$f_[*!"'7$$"+[h'4Z#!#8$"+@u8y%*!"'7$$"+JdNqC!#8$"+9gP&[*!"'7$$"+;cupC!#8$"+OSDy%*!"'7$$"+-e8pC!#8$"*e#\&[*!"&7$$"*HE&oC!#7$"+O0Py%*!"'7$$"+yq"zY#!#8$"+N!4c[*!"'7$$"+n"3tY#!#8$"+Gp[y%*!"'7$$"+c&*pmC!#8$"+y`s&[*!"'7$$"+X74mC!#8$"+0Kgy%*!"'7$$"+NK[lC!#8$"+2;%e[*!"'7$$"+Cb([Y#!#8$"+o$>(y%*!"'7$$"+7"oUY#!#8$"+Fx&f[*!"'7$$"(hOY#!#5$"+Aa$)y%*!"'7$$"+(=aIY#!#8$"+LP2'[*!"'7$$"+twWiC!#8$"+o8&*y%*!"'7$$"+d9%=Y#!#8$"+F'*='[*!"'7$$"*aN7Y#!#7$"+*>n!z%*!"'7$$"+@*H1Y#!#8$"+8aI'[*!"'7$$")Y-gC!#6$"+@H=z%*!"'7$$"+x&>%fC!#8$"+%3@k[*!"'7$$"+^[")eC!#8$"+H&)Hz%*!"'7$$"+B/@eC!#8$"+Zm`'[*!"'7$$"+"H1wX#!#8$"+GSTz%*!"'7$$"+dC+dC!#8$"+(4_m[*!"'7$$"+>*)RcC!#8$"+8%H&z%*!"'7$$"+yczbC!#8$"+Quw'[*!"'7$$"+LF>bC!#8$"+*oW'z%*!"'7$$"+$3!faC!#8$"+oE)o[*!"'7$$"*t()RX#!#7$"+c)f(z%*!"'7$$"+scQ`C!#8$"+'y(*p[*!"'7$$"*"Ry_C!#7$"+4\()z%*!"'7$$"+UC=_C!#8$"+'z7r[*!"'7$$"*F"e^C!#7$"+e)*)*z%*!"'7$$"+#R!)4X#!#8$"+%pFs[*!"'7$$"+4)z.X#!#8$"+%p/,[*!"'7$$"*_z(\C!#7$"+"[Ut[*!"'7$$"+D&z"\C!#8$"+:%>-[*!"'7$$"+C)z&[C!#8$"+irX([*!"'7$$"+;/)zW#!#8$"+KSL![*!"'7$$"+-8QZC!#8$"*trv[*!"&7$$"+"[#yYC!#8$"+T&[/[*!"'7$$"+`R=YC!#8$"*>'o([*!"&7$$"+=deXC!#8$"+OHc![*!"'7$$"+vx)\W#!#8$"+T0!y[*!"'7$$"+D,RWC!#8$"+Fsn![*!"'7$$"+mFzVC!#8$"+#y9z[*!"'7$$")d>VC!#6$"+.9z![*!"'7$$"+D*)fUC!#8$"+;*G!)[*!"'7$$"+UC+UC!#8$"+sa!4[*!"'7$$"*D19W#!#7$"*%H9)[*!"&7$$"+\."3W#!#8$"+O%>5[*!"'7$$"+RZ@SC!#8$"+aoD)[*!"'7$$"+>%>'RC!#8$"+(GL6[*!"'7$$"*RC!RC!#7$"+i1P)[*!"'7$$"+^'H%QC!#8$"+GqC"[*!"'7$$"+-_$yV#!#8$"+fV[)[*!"'7$$"+V5CPC!#8$"+m1O"[*!"'7$$"+trkOC!#8$"*&zf)[*!"&7$$"+$f`gV#!#8$"+'>u9[*!"'7$$"+-.YNC!#8$"*V6()[*!"&7$$")t'[V#!#6$"+;we"[*!"'7$$"+'euUV#!#8$"+/[#))[*!"'7$$"+h@oLC!#8$"+G4q"[*!"'7$$"+C+4LC!#8$"+r!Q*)[*!"'7$$"+w")\KC!#8$"+JT"=[*!"'7$$"+:m!>V#!#8$"+G70*[*!"'7$$"+U`JJC!#8$"+Ds#>[*!"'7$$"+cVsIC!#8$"+"Gk"*[*!"'7$$"+dO8IC!#8$"+:-/#[*!"'7$$"+YKaHC!#8$"+DsF*[*!"'7$$"+@J&*GC!#8$"+(4`@[*!"'7$$"+$Gj$GC!#8$"+h+R*[*!"'7$$"+JPxFC!#8$"+veE#[*!"'7$$"+mW=FC!#8$"+"z-&*[*!"'7$$"+([&fEC!#8$"*ayB[*!"&7$$"+$z1gU#!#8$"+9ah*[*!"'7$$"+&Q=aU#!#8$")6\#[*!"%7$$"+i-$[U#!#8$"*$zs*[*!"&7$$"+CCCCC!#8$"+eNg#[*!"'7$$"+s[lBC!#8$"*MS)*[*!"&7$$"+/w1BC!#8$"+1fr#[*!"'7$$"*i![AC!#7$"+UE&**[*!"'7$$"+@R*=U#!#8$"+Y"GG[*!"'7$$"+1vI@C!#8$"+T[1!\*!"'7$$"+v8s?C!#8$"+#GSH[*!"'7$$"+Gb8?C!#8$"*$p<!\*!"&7$$"+k*\&>C!#8$"+:B0$[*!"'7$$"+$ok*=C!#8$"+:*)G!\*!"'7$$"+'oz$=C!#8$"+RU;$[*!"'7$$"+r\z<C!#8$"+(z+/\*!"'7$$"+R0@<C!#8$"+bgF$[*!"'7$$"*REmT#!#7$"+oD^!\*!"'7$$"+AD/;C!#8$"+nxQ$[*!"'7$$"+P*eaT#!#8$"+OUi!\*!"'7$$"+Mc([T#!#8$"+v$*\$[*!"'7$$"+7EH9C!#8$")et!\*!"%7$$"+s)4PT#!#8$"*)3h$[*!"&7$$"+8u78C!#8$"+es%3\*!"'7$$"+N_a7C!#8$"+xAs$[*!"'7$$"+QL'>T#!#8$"+6'e4\*!"'7$$"+A<Q6C!#8$"+pN$Q[*!"'7$$"+'Q+3T#!#8$"+e)p5\*!"'7$$"*L>-T#!#7$"+aZ%R[*!"'7$$"+a&Q'4C!#8$"+-5="\*!"'7$$"+e!e!4C!#8$"*%e0%[*!"&7$$"+UyZ3C!#8$"+Q?H"\*!"'7$$"+0z*yS#!#8$"+<o;%[*!"'7$$"+Z#=tS#!#8$"+uHS"\*!"'7$$"+p)QnS#!#8$"+"pxU[*!"'7$$"+p(fhS#!#8$"+.Q^"\*!"'7$$"+[4e0C!#8$"+h%)Q%[*!"'7$$"+0C+0C!#8$"+HXi"\*!"'7$$"*9CWS#!#7$"+B"*\%[*!"'7$$"+ah%QS#!#8$"*:N<\*!"&7$$"+X%oKS#!#8$"+(o4Y[*!"'7$$"+95p-C!#8$"+oc%=\*!"'7$$"*'Q6-C!#7$"+Z,s%[*!"'7$$"+%)p`,C!#8$"+$3c>\*!"'7$$"+%Qg4S#!#8$"+*\I[[*!"'7$$"+hSQ+C!#8$"+%Rm?\*!"'7$$"+:!3)*R#!#8$"+_2%\[*!"'7$$"+YAB*R#!#8$"+,m<#\*!"'7$$"+_nl)R#!#8$"+(*30&[*!"'7$$"+N:3)R#!#8$"+/nG#\*!"'7$$"+$f1vR#!#8$"+W4;&[*!"'7$$"+F>$pR#!#8$"+/nR#\*!"'7$$"+PvN'R#!#8$"+#)3F&[*!"'7$$"+@My&R#!#8$"+.m]#\*!"'7$$"+"e4_R#!#8$"+A2Q&[*!"'7$$"+:gj%R#!#8$"+&R;E\*!"'7$$"+CF1%R#!#8$"+f/\&[*!"'7$$"+3(*[$R#!#8$"*4EF\*!"&7$$"+mp"HR#!#8$"+#4+c[*!"'7$$"+)\WBR#!#8$"+zc$G\*!"'7$$"+.Bx"R#!#8$"+A'4d[*!"'7$$"+$Q+7R#!#8$"+m^%H\*!"'7$$"+N(G1R#!#8$"+\!>e[*!"'7$$"+ht0!R#!#8$"*baI\*!"&7$$"*E'[*Q#!#7$"+x$Gf[*!"'7$$"+Ka"*)Q#!#8$"1*****R$Q;$\*!#77$$"+x[M)Q#!#8$"+(fPg[*!"'7$$"+%fuxQ#!#8$"+8IF$\*!"'7$$"+$e/sQ#!#8$"+>n9'[*!"'7$$"+X[j'Q#!#8$"+$4#Q$\*!"'7$$"+y`1'Q#!#8$"+VdD'[*!"'7$$"+$='\&Q#!#8$"+r5\$\*!"'7$$"*EF\Q#!#7$"+eYO'[*!"'7$$"+3'eVQ#!#8$"+Y**f$\*!"'7$$"+E-z$Q#!#8$"+vMZ'[*!"'7$$"+;@A$Q#!#8$"1*****4s3P\*!#77$$"+xUl#Q#!#8$"+%>#e'[*!"'7$$"+3n3#Q#!#8$"+&R<Q\*!"'7$$"+4%>:Q#!#8$"+43p'[*!"'7$$"+"Q_4Q#!#8$"+lf#R\*!"'7$$"+AcQ!Q#!#8$"+A$*z'[*!"'7$$"+M">)zB!#8$"+QW.%\*!"'7$$"+:HDzB!#8$"+Ox!p[*!"'7$$"+lpoyB!#8$"+2G9%\*!"'7$$"+%G@"yB!#8$"+Zg,([*!"'7$$"+tebxB!#8$"+w5D%\*!"'7$$"*t!*pP#!#7$"+bU7([*!"'7$$"+ceUwB!#8$"+W#fV\*!"'7$$"*DheP#!#7$"*PKs[*!"&7$$"+7pHvB!#8$"+:tY%\*!"'7$$"+VGtuB!#8$"+w.M([*!"'7$$"+T!pTP#!#8$"+#GvX\*!"'7$$"+2bgtB!#8$"*H[u[*!"&7$$"*CUIP#!#7$"+_Jo%\*!"'7$$"+T#zCP#!#8$"+,hb([*!"'7$$"+4l">P#!#8$"+=4z%\*!"'7$$"+VSNrB!#8$"+3Qm([*!"'7$$"+W=zqB!#8$"+'e)*[\*!"'7$$"+7*H-P#!#8$"+A9x([*!"'7$$"+Y#o'pB!#8$"+bh+&\*!"'7$$"+Zo5pB!#8$"+L*yy[*!"'7$$"+8daoB!#8$"+DO6&\*!"'7$$"+X[)zO#!#8$"+Tj)z[*!"'7$$"+UUUnB!#8$"+#*4A&\*!"'7$$"+0R'oO#!#8$"+cO4)[*!"'7$$"+LQImB!#8$"+l#G`\*!"'7$$"+ESulB!#8$"+o3?)[*!"'7$$"+%[%=lB!#8$"1*****RVNa\*!#77$$"+2_ikB!#8$"+#)zI)[*!"'7$$"+%>mSO#!#8$"+1Da&\*!"'7$$"+Xu]jB!#8$"+)*\T)[*!"'7$$"*'*[HO#!#7$"+"[\c\*!"'7$$"+R2RiB!#8$"+6>_)[*!"'7$$"+#yK=O#!#8$"+ajv&\*!"'7$$"+*3v7O#!#8$"+J(G')[*!"'7$$"+ewrgB!#8$"+JJ'e\*!"'7$$"+"\g,O#!#8$"+Zat)[*!"'7$$"+(e.'fB!#8$"+2)pf\*!"'7$$"+Xp/fB!#8$"+m?%))[*!"'7$$"+m0\eB!#8$"+&Qwg\*!"'7$$"+\W$zN#!#8$"+#f[*)[*!"'7$$"+&fytN#!#8$"+mG='\*!"'7$$"+.I#oN#!#8$"+:]0*[*!"'7$$"+swEcB!#8$"*D*G'\*!"&7$$"+.ErbB!#8$"*Mh"*[*!"&7$$"+'zd^N#!#8$"+LbR'\*!"'7$$"+\KgaB!#8$"+nvE*[*!"'7$$"+k*[SN#!#8$"+><]'\*!"'7$$"*%\\`B!#7$"+-PP*[*!"'7$$"+w6%HN#!#8$"+6yg'\*!"'7$$"+twQ_B!#8$"+L(z%*[*!"'7$$"+JW$=N#!#8$"+-Qr'\*!"'7$$"+[9G^B!#8$"1*****fm&e*[*!#77$$"+E(G2N#!#8$"+'p>o\*!"'7$$"+ji<]B!#8$"+2:p*[*!"'7$$"*1C'\B!#7$"+#\Dp\*!"'7$$"+<@2\B!#8$"+Wsz*[*!"'7$$"+K/_[B!#8$"+%>Jq\*!"'7$$"+2!pzM#!#8$"+*)G!**[*!"'7$$"*%yTZB!#7$"+&zOr\*!"'7$$"+Lp'oM#!#8$"+N%3+\*!"'7$$"+$G;jM#!#8$"1*****HIUs\*!#77$$"+$*ewXB!#8$"+%)Q6!\*!"'7$$"*w:_M#!#7$"+4xM(\*!"'7$$"+&)emWB!#8$"+T#>-\*!"'7$$"+oi6WB!#8$"+AIX(\*!"'7$$"+4pcVB!#8$"+*\C.\*!"'7$$"+2y,VB!#8$"*Cev\*!"&7$$"+i*oCM#!#8$"+f'H/\*!"'7$$"+v.#>M#!#8$"+eLm(\*!"'7$$"+W?PTB!#8$"+AZ`!\*!"'7$$"*(R#3M#!#7$"1*****RQox\*!#77$$"+`hFSB!#8$"+(oR1\*!"'7$$"+"fG(RB!#8$"1******4L(y\*!#77$$"+(G"=RB!#8$"+fXu!\*!"'7$$"+QUjQB!#8$"+U"yz\*!"'7$$"+Wu3QB!#8$"+Q$\3\*!"'7$$"+24aPB!#8$"+xG3)\*!"'7$$"+DY*pL#!#8$"*-a4\*!"&7$$"+)f[kL#!#8$"+<v=)\*!"'7$$"+EG!fL#!#8$"+.'e5\*!"'7$$"*Jd`L#!#7$"+j?H)\*!"'7$$"+[?"[L#!#8$"+&4j6\*!"'7$$"*/nUL#!#7$"1*****4^'R)\*!#77$$"+(GAPL#!#8$"+)[n7\*!"'7$$"+)yxJL#!#8$"+l3])\*!"'7$$"+VNjKB!#8$"+$yr8\*!"'7$$"+_&*3KB!#8$"+D^g)\*!"'7$$"+:eaJB!#8$"+')fZ"\*!"'7$$"+JB+JB!#8$"+)G4()\*!"'7$$")"f/L#!#6$"+'4!e"\*!"'7$$"+Bh"*HB!#8$"1*****pN8))\*!#77$$"+*Rt$HB!#8$"+3To"\*!"'7$$"+F4$)GB!#8$"+Jt"*)\*!"'7$$"+3()GGB!#8$"1*****z-)y"\*!#77$$"+TnuFB!#8$"+67-*\*!"'7$$"+F]?FB!#8$"+c=*=\*!"'7$$"+kNmEB!#8$"+'*\7*\*!"'7$$"+aB7EB!#8$"+&e&*>\*!"'7$$"+&R"eDB!#8$"+%oG#*\*!"'7$$"+)oS]K#!#8$"+A#*4#\*!"'7$$"+K-]CB!#8$"+#GK$*\*!"'7$$"+G+'RK#!#8$"+hF?#\*!"'7$$"+u+UBB!#8$"+&yN%*\*!"'7$$"+s.)GK#!#8$"+8iI#\*!"'7$$"*#4MAB!#7$"+$>R&*\*!"'7$$"+=<!=K#!#8$"+n&4C\*!"'7$$"+nFE@B!#8$"+3Dk*\*!"'7$$"+mSs?B!#8$"+BG^#\*!"'7$$"+:c=?B!#8$"+Gdu*\*!"'7$$"+9uk>B!#8$"+"*fh#\*!"'7$$"+i%4">B!#8$"+a)[)*\*!"'7$$"*wr&=B!#7$"+i!>F\*!"'7$$"+2V.=B!#8$"+*)=&**\*!"'7$$"+.r\<B!#8$"+T?#G\*!"'7$$"+[,'pJ#!#8$"+H[0+&*!"'7$$"+UMU;B!#8$"+F\#H\*!"'7$$"+&)p)eJ#!#8$"+vw:+&*!"'7$$"+w2N:B!#8$"*sFI\*!"&7$$"+:["[J#!#8$"+G/E+&*!"'7$$"+-"zUJ#!#8$"+@/8$\*!"'7$$"+POu8B!#8$"+)3j.]*!"'7$$"*U3KJ#!#7$"*.LK\*!"&7$$"*XtEJ#!#7$"+ecY+&*!"'7$$"+G(Q@J#!#8$"+YbL$\*!"'7$$"+`Ug6B!#8$"+M"o0]*!"'7$$"+D+26B!#8$"+kzV$\*!"'7$$"+Wg`5B!#8$"+:0n+&*!"'7$$"*J-+J#!#7$"+&HSN\*!"'7$$"+A)o%4B!#8$"+1Gx+&*!"'7$$"+"eN*3B!#8$"+LDk$\*!"'7$$"+&e-%3B!#8$"+0](3]*!"'7$$"+O)pyI#!#8$"+tYu$\*!"'7$$"+LtL2B!#8$"*6x4]*!"&7$$"+v]!oI#!#8$"+Fn%Q\*!"'7$$"+jIF1B!#8$"+B"z5]*!"'7$$"+'HTdI#!#8$"+)o[R\*!"'7$$"+u(4_I#!#8$"+V5=,&*!"'7$$"+(\yYI#!#8$"+c00%\*!"'7$$"+lu9/B!#8$"+vGG,&*!"'7$$"+ymh.B!#8$"+KB:%\*!"'7$$"+Nh3.B!#8$"+7YQ,&*!"'7$$"+Peb-B!#8$"+:SD%\*!"'7$$"+$yD?I#!#8$"+ei[,&*!"'7$$"+sf\,B!#8$"+7cN%\*!"'7$$"+1k'4I#!#8$"+8ye,&*!"'7$$"+$3P/I#!#8$"*6dW\*!"&7$$"+/!3**H#!#8$"+x#*o,&*!"'7$$"+o"z$*H#!#8$"+A&eX\*!"'7$$"+v0&))H#!#8$"1******\1z,&*!#77$$"+DAK)H#!#8$"*%)fY\*!"&7$$"+=Tz(H#!#8$"+K>*=]*!"'7$$"+`iE(H#!#8$"+s5w%\*!"'7$$"+J'QnH#!#8$"*7$*>]*!"&7$$"+^7@'H#!#8$"+1A'[\*!"'7$$"+9To&H#!#8$"+>U4-&*!"'7$$"+=s:&H#!#8$"+`K'\\*!"'7$$"+k0j%H#!#8$"+G_>-&*!"'7$$"+_T5%H#!#8$"+7U1&\*!"'7$$"+#)zd$H#!#8$"+[hH-&*!"'7$$"+_?0$H#!#8$"*3l^\*!"&7$$"+kj_#H#!#8$"+upR-&*!"'7$$"+<4+#H#!#8$"+aeE&\*!"'7$$"*rv9H#!#7$"+8x\-&*!"'7$$"+X2&4H#!#8$"+PlO&\*!"'7$$"+>gU!H#!#8$"*O)f-&*!"&7$$"+M:!**G#!#8$"+KrY&\*!"'7$$"+*Gx$*G#!#8$"+;*)p-&*!"'7$$"+%G`))G#!#8$"1*****Rjnb\*!#77$$"+>&H$)G#!#8$"+"Q*z-&*!"'7$$"+%*f!yG#!#8$"*0oc\*!"&7$$"+3FG(G#!#8$"+e(**G]*!"'7$$"+i'fnG#!#8$"+t$od\*!"'7$$"+aoB'G#!#8$"+Z++.&*!"'7$$"+'G9dG#!#8$"+4'oe\*!"'7$$"+c>>&G#!#8$"+X-5.&*!"'7$$"+l)pYG#!#8$"1*****zvof\*!#77$$"+8![TG#!#8$"+_.?.&*!"'7$$"+*REOG#!#8$"+9)og\*!"'7$$"+B]5$G#!#8$"+r.I.&*!"'7$$"+&)Qe#G#!#8$"+y(oh\*!"'7$$"+&)H1#G#!#8$"+*H+M]*!"'7$$"+BBa"G#!#8$"+b'oi\*!"'7$$"+)*=-"G#!#8$"+U,].&*!"'7$$"*r,0G#!#7$"+X%oj\*!"'7$$"*w")*zA!#7$"**)*f.&*!"&7$$"+Z?YzA!#8$"+U"ok\*!"'7$$"+rD%*yA!#8$"+a&*p.&*!"'7$$"+JLUyA!#8$"1*****>vnl\*!#77$$"+GV!zF#!#8$"+F"*z.&*!"'7$$"+hbQxA!#8$"+wsm'\*!"'7$$"+Jq'oF#!#8$"+7')*Q]*!"'7$$"+P([jF#!#8$"+7nw'\*!"'7$$"+y1$eF#!#8$"1******3!)*R]*!#77$$"+cGJvA!#8$"+bg'o\*!"'7$$"+o_zuA!#8$"+9t4/&*!"'7$$"+<zFuA!#8$"+7`'p\*!"'7$$")3wtA!#6$"+Nl>/&*!"'7$$"+>RCtA!#8$"+"[kq\*!"'7$$"+tsssA!#8$"+lcH/&*!"'7$$"+h3@sA!#8$"+eN;(\*!"'7$$"+%o%prA!#8$"+2ZR/&*!"'7$$"+U(y6F#!#8$"+[DE(\*!"'7$$"+MImqA!#8$"+kO\/&*!"'7$$"*cZ,F#!#7$"+c9O(\*!"'7$$"*KK'pA!#7$"*`#f/&*!"&7$$"+8t6pA!#8$"+s-Y(\*!"'7$$"+TDgoA!#8$"+68p/&*!"'7$$"+-!)3oA!#8$"+,!fv\*!"'7$$"+'ptvE#!#8$"+,+z/&*!"'7$$"+C'fqE#!#8$"+Vwl(\*!"'7$$"+%yXlE#!#8$"+1'))[]*!"'7$$"+y@.mA!#8$"+#>cx\*!"'7$$"+/)=bE#!#8$"+Br)\]*!"'7$$"+jc+lA!#8$"+fY&y\*!"'7$$"+aF\kA!#8$"+`b30&*!"'7$$"+x+)RE#!#8$"*/`z\*!"&7$$"+KwYjA!#8$"+%*Q=0&*!"'7$$"*UbHE#!#7$"+G80)\*!"'7$$"+RMWiA!#8$"*:#G0&*!"&7$$"*pJ>E#!#7$"+M&\")\*!"'7$$"+s,UhA!#8$"+>.Q0&*!"'7$$"+&))34E#!#8$"+`wC)\*!"'7$$"*$yRgA!#7$"+*Rya]*!"'7$$"+1q))fA!#8$"+'oX$)\*!"'7$$"+7kPfA!#8$"+&Rwb]*!"'7$$"+\g')eA!#8$"+JOW)\*!"'7$$"+<fNeA!#8$"+.Vn0&*!"'7$$"+:g%yD#!#8$"+*[T&)\*!"'7$$"+VjLdA!#8$"+E@x0&*!"'7$$"+,p#oD#!#8$"*ER')\*!"&7$$"*p<jD#!#7$"+h)pe]*!"'7$$"+2(3eD#!#8$"+Wpt)\*!"'7$$"+b**HbA!#8$"+3v'f]*!"'7$$"+K9zaA!#8$"+TX$))\*!"'7$$"+QJGaA!#8$"+t]11&*!"'7$$"+t]x`A!#8$"+c?$*)\*!"'7$$"+PsE`A!#8$"*bih]*!"&7$$"+J'fFD#!#8$"+%[H!*\*!"'7$$"+_AD_A!#8$"*%*fi]*!"&7$$"+-^u^A!#8$"+Eo7*\*!"'7$$"+"=Q7D#!#8$"+WsN1&*!"'7$$"+)[J2D#!#8$"*3C#*\*!"&7$$"+A]A]A!#8$"+kWX1&*!"'7$$"+&y=(\A!#8$"+Z7K*\*!"'7$$"+wF@\A!#8$"+*f^l]*!"'7$$"+$*pq[A!#8$"+K$=%*\*!"'7$$"+R9?[A!#8$"+\'[m]*!"'7$$"+6hpZA!#8$"+J`^*\*!"'7$$"+65>ZA!#8$"+6cu1&*!"'7$$"+QhoYA!#8$"+ZAh*\*!"'7$$"+"\"=YA!#8$"+)[Uo]*!"'7$$"+sqnXA!#8$"+x!4(*\*!"'7$$"+yG<XA!#8$"1*****4GRp]*!#77$$"+6*oYC#!#8$"*#e!)*\*!"&7$$"+r^;WA!#8$"+"*f.2&*!"'7$$"+c;mVA!#8$"+vC!**\*!"'7$$"+n$eJC#!#8$"+9E82&*!"'7$$"+/`lUA!#8$"+\!****\*!"'7$$"+mC:UA!#8$"+_"Hs]*!"'7$$"+a)\;C#!#8$"+Tb4+&*!"'7$$"+ou9TA!#8$"+0cK2&*!"'7$$"+1`kSA!#8$"+T>>+&*!"'7$$"+pL9SA!#8$"+u>U2&*!"'7$$"+d;kRA!#8$"+l#)G+&*!"'7$$"*<S"RA!#7$"+d#=v]*!"'7$$"+3*Q'QA!#8$"+,XQ+&*!"'7$$"+py8QA!#8$"+fWh2&*!"'7$$"+bqjPA!#8$"+^1[+&*!"'7$$"+lk8PA!#8$"+w0r2&*!"'7$$"+*4OmB#!#8$"+>nd+&*!"'7$$"+df8OA!#8$"+0m!y]*!"'7$$"+QgjNA!#8$")Fn+&*!"%7$$"+Vj8NA!#8$"1,++cD!z]*!#77$$"+sojMA!#8$"1******)fo2]*!#77$$"+Bw8MA!#8$"+=%)*z]*!"'7$$"+(fQOB#!#8$"+;W'3]*!"'7$$"+&zRJB#!#8$"+*>%43&*!"'7$$"+:7kKA!#8$"+Z,'4]*!"'7$$"+dG9KA!#8$"+&*)*=3&*!"'7$$"+AZkJA!#8$"+'zb5]*!"'7$$"+4o9JA!#8$"*^&G3&*!"&7$$"+>"\1B#!#8$"+e8:,&*!"'7$$"*l^,B#!#7$"+R5Q3&*!"'7$$"+/WlHA!#8$"+QoC,&*!"'7$$"+zt:HA!#8$"+%[w%3&*!"'7$$"+v0mGA!#8$"+OAM,&*!"'7$$"+$*R;GA!#8$"+Z=d3&*!"'7$$"+KwmFA!#8$"+`vV,&*!"'7$$"+#\rrA#!#8$"+Grm3&*!"'7$$"+tbnEA!#8$"+$yK:]*!"'7$$"+v)zhA#!#8$"+DBw3&*!"'7$$"+)R%oDA!#8$"+Kzi,&*!"'7$$"+T"*=DA!#8$"+Pu&)3&*!"'7$$"+0TpCA!#8$"+)*Hs,&*!"'7$$"+)G*>CA!#8$"*Z_*3&*!"&7$$"+#p/PA#!#8$"+yz"=]*!"'7$$"+;.@BA!#8$"+=u/4&*!"'7$$"+fhrAA!#8$"+")G">]*!"'7$$"+AAAAA!#8$"+&GU"4&*!"'7$$"+0&G<A#!#8$"+)p2?]*!"'7$$"+2]B@A!#8$"+nqB4&*!"'7$$"+G<u?A!#8$"+KC5-&*!"'7$$"+o'[-A#!#8$"+n<L4&*!"'7$$"+Fev>A!#8$"+&3(>-&*!"'7$$"+0KE>A!#8$"+&QE%4&*!"'7$$"+,3x=A!#8$"+d;H-&*!"'7$$"+;'y#=A!#8$"+A4_4&*!"'7$$"+\my<A!#8$"+ZhQ-&*!"'7$$")\H<A!#6$"+x`h4&*!"'7$$"*P.o@#!#7$"+b0[-&*!"'7$$"+d?J;A!#8$"+^(4(4&*!"'7$$"+i4#e@#!#8$"+w[d-&*!"'7$$"+%3I`@#!#8$"+US!)4&*!"'7$$"+C%R[@#!#8$"1*****47pE]*!#77$$"+")*[V@#!#8$"+\#)*)4&*!"'7$$"+c(eQ@#!#8$"+&GjF]*!"'7$$"+Z(oL@#!#8$"1*****zP#**4&*!#77$$"+c*yG@#!#8$"+ht&G]*!"'7$$"+"Q*Q7A!#8$"+Dk35&*!"'7$$"+A+!>@#!#8$"+h8&H]*!"'7$$"*)3T6A!#7$"+'Q!=5&*!"'7$$"+a>#4@#!#8$"*GXI]*!"&7$$"+XKV5A!#8$"*Fu-^*!"&7$$"+^Z%*4A!#8$"+6"RJ]*!"'7$$"+ukX4A!#8$"+v!o.^*!"'7$$"+7%o*3A!#8$"+mGB.&*!"'7$$"+l0[3A!#8$"+&zh/^*!"'7$$"+MH*z?#!#8$"*aEL]*!"&7$$"+>b]2A!#8$"+Lab5&*!"'7$$"+=$=q?#!#8$"+K,U.&*!"'7$$"+L8`1A!#8$"+$**[1^*!"'7$$"+iX/1A!#8$"+[O^.&*!"'7$$"+1!eb?#!#8$"+rCu5&*!"'7$$"+l;20A!#8$"+xqg.&*!"'7$$"+Qbe/A!#8$"+ne$3^*!"'7$$"+D'*4/A!#8$"+H/q.&*!"'7$$"+FRh.A!#8$"+&=H4^*!"'7$$"+U%GJ?#!#8$")Pz.&*!"%7$$"+sJk-A!#8$"+@C-6&*!"'7$$"+:"e@?#!#8$"**o)Q]*!"&7$$"+sKn,A!#8$"+zb66&*!"'7$$"+U')=,A!#8$"+)**zR]*!"'7$$"+DUq+A!#8$"+b'37^*!"'7$$"+A+A+A!#8$"+HI2/&*!"'7$$"+Kgt*>#!#8$"+\;I6&*!"'7$$"+aAD*>#!#8$"+uf;/&*!"'7$$"*po()>#!#7$"+lXR6&*!"'7$$"+P`G)>#!#8$"+U)eU]*!"'7$$"+)>-y>#!#8$"+-u[6&*!"'7$$"*F>t>#!#7$"+M;N/&*!"'7$$"+bl$o>#!#8$"+e,e6&*!"'7$$"+_SN'>#!#8$"+XVW/&*!"'7$$"+h<(e>#!#8$"+NGn6&*!"'7$$"+#o*Q&>#!#8$"+up`/&*!"'7$$"+9y!\>#!#8$"*Vl<^*!"&7$$"+ehU%>#!#8$"+@&HY]*!"'7$$"+8Z%R>#!#8$"+Zz&=^*!"'7$$"+zMY$>#!#8$"+#*>s/&*!"'7$$"+cC)H>#!#8$"+&Q]>^*!"'7$$"+W;]#>#!#8$"+(Q9[]*!"'7$$"+V5-#>#!#8$"+TF/7&*!"'7$$"+`1a">#!#8$"+&p1\]*!"'7$$"+t/1">#!#8$"+B]87&*!"'7$$"+/0e!>#!#8$"+K*)*\]*!"'7$$"+X25!>#!#8$"+AsA7&*!"'7$$"+'>@'*=#!#8$"1*****>3"40&*!#77$$"+c=9*=#!#8$"+V$>B^*!"'7$$"+FFm)=#!#8$"+cJ=0&*!"'7$$"+2Q=)=#!#8$"+&Q6C^*!"'7$$"+(40x=#!#8$"1*****R:v_]*!#77$$"+(fEs=#!#8$"+YL]7&*!"'7$$"+0$[n=#!#8$"*2n`]*!"&7$$"+B-F'=#!#8$"+J_f7&*!"'7$$"*N#z&=#!#7$"*"*ea]*!"&7$$"+&o9`=#!#8$"+Qqo7&*!"'7$$"*BP[=#!#7$"+o1b0&*!"'7$$"+$)*fV=#!#8$"+m(yF^*!"'7$$"+WH)Q=#!#8$"*NUc]*!"&7$$"+9hS$=#!#8$"+8/(G^*!"'7$$"+"\HH=#!#8$"+cRt0&*!"'7$$"+xIX#=#!#8$"+%)>'H^*!"'7$$"+ro(>=#!#8$"*[De]*!"&7$$"+t3]"=#!#8$"+xM08&*!"'7$$"+#3D5=#!#8$"+Bp"f]*!"'7$$"+)\\0=#!#8$"+"*[98&*!"'7$$"+BT2!=#!#8$"+&H3g]*!"'7$$"+a*)fz@!#8$"+EiB8&*!"'7$$"+#*R7z@!#8$"+&e*41&*!"'7$$"+P#\'y@!#8$"+'[FL^*!"'7$$"*pu"y@!#7$")3>1&*!"%7$$"+[.qx@!#8$"+l'=M^*!"'7$$"+9iAx@!#8$"+K>G1&*!"'7$$"+'G_n<#!#8$"+o(4N^*!"'7$$"+k&yi<#!#8$"+))HP1&*!"'7$$"+[]!e<#!#8$"+#z+O^*!"'7$$"+Q<Lv@!#8$"+pRY1&*!"'7$$"+M'e[<#!#8$"+T<p8&*!"'7$$"+OdQu@!#8$"+t[b1&*!"'7$$"+VI"R<#!#8$"1*****>h#y8&*!#77$$"+c0Wt@!#8$"+&pXm]*!"'7$$"+v#oH<#!#8$"+/M(Q^*!"'7$$"+)>'\s@!#8$"+Zkt1&*!"'7$$"+FV-s@!#8$"+@T'R^*!"'7$$"*m_:<#!#7$"+<r#o]*!"'7$$"+)>"3r@!#8$"+fZ09&*!"'7$$"+T*41<#!#8$"+6x"p]*!"'7$$"+*))Q,<#!#8$"+=`99&*!"'7$$"+T!o'p@!#8$"+B#3q]*!"'7$$"+(R(>p@!#8$"+-eB9&*!"'7$$"+dpso@!#8$"+k')42&*!"'7$$"+AnDo@!#8$"+6iK9&*!"'7$$"*p'yn@!#7$"*.*=2&*!"&7$$"+ioJn@!#8$"+TlT9&*!"'7$$"+Ps%o;#!#8$"+8$zs]*!"'7$$"+;yPm@!#8$"+'z1X^*!"'7$$"+*f3f;#!#8$"+@&pt]*!"'7$$"+%eRa;#!#8$"+wpf9&*!"'7$$"+t2(\;#!#8$"+d'fu]*!"'7$$"+k@]k@!#8$"+xqo9&*!"'7$$"+fP.k@!#8$"+8(\v]*!"'7$$"+cbcj@!#8$"+-rx9&*!"'7$$"+cv4j@!#8$"+#pRw]*!"'7$$"+e(HE;#!#8$"+\q'[^*!"'7$$"+i@;i@!#8$")'Hx]*!"%7$$"+pZph@!#8$"*#p&\^*!"&7$$"+xvAh@!#8$"+E%>y]*!"'7$$"+)eg2;#!#8$"*sY]^*!"&7$$")QHg@!#6$"+x"4z]*!"'7$$"+9s#)f@!#8$"*WO^^*!"&7$$"+H3Of@!#8$"+^))*z]*!"'7$$"+YY*)e@!#8$"+$3E_^*!"'7$$"+k'G%e@!#8$"+b%)33&*!"'7$$"+$)G'z:#!#8$"+`cJ:&*!"'7$$"+.t\d@!#8$"1*****f(z<3&*!#77$$"+C>.d@!#8$"+Z^S:&*!"'7$$"+Yncc@!#8$"+GuE3&*!"'7$$"+o<5c@!#8$"+jX\:&*!"'7$$"+"*pjb@!#8$"+.oN3&*!"'7$$"+9C<b@!#8$"+2Re:&*!"'7$$"+P!3Z:#!#8$"+,hW3&*!"'7$$"*'QCa@!#7$"+sJn:&*!"'7$$"+%))zP:#!#8$"+C``3&*!"'7$$"+2hJ`@!#8$"+lBw:&*!"'7$$"*`_G:#!#7$"*ZC'3&*!"&7$$"+_"*Q_@!#8$"*[^e^*!"&7$$"+uf#>:#!#8$"+TNr3&*!"'7$$"+&*HY^@!#8$"+A0%f^*!"'7$$"+:-+^@!#8$"*a-)3&*!"&7$$"+Mw`]@!#8$"+)[Hg^*!"'7$$"+`_2]@!#8$"+j9*)3&*!"'7$$"*28'\@!#7$"*Q=h^*!"&7$$"+&3^"\@!#8$"+6.)*3&*!"'7$$")$*o[@!#6$"+'>2i^*!"'7$$"+7xA[@!#8$"+#3p!4&*!"'7$$"+BjwZ@!#8$"*%fH;&*!"&7$$"+K^IZ@!#8$"+#yd"4&*!"'7$$"+RT%o9#!#8$"+0YQ;&*!"'7$$"+WLQY@!#8$"+1kC4&*!"'7$$"+ZF#f9#!#8$"+)>tk^*!"'7$$"+ZBYX@!#8$"+a\L4&*!"'7$$"+X@+X@!#8$"+:<c;&*!"'7$$"*9UX9#!#7$"+DMU4&*!"'7$$"+LB3W@!#8$"*;]m^*!"&7$$"+AFiV@!#8$"+E=^4&*!"'7$$"+4L;V@!#8$"*`Qn^*!"&7$$"+$4/F9#!#8$"+d,g4&*!"'7$$"+t]CU@!#8$"+Do#o^*!"'7$$"*D'yT@!#7$"+0%)o4&*!"'7$$"+BwKT@!#8$"+Z]"p^*!"'7$$"+$>p39#!#8$"+$ew(4&*!"'7$$"+f4TS@!#8$"+%>.q^*!"'7$$"+@H&*R@!#8$"*pk)4&*!"&7$$"+z]\R@!#8$"+o74<&*!"'7$$"+Lu.R@!#8$"+@F&*4&*!"'7$$"+$)*z&Q@!#8$"+n#zr^*!"'7$$"+GF7Q@!#8$"+w1/5&*!"'7$$"+pcmP@!#8$"+%>ns^*!"'7$$"+0)3s8#!#8$"*cG,^*!"&7$$"+P@vO@!#8$"+Y]N<&*!"'7$$"+jcHO@!#8$"+oj@5&*!"'7$$"+&QRe8#!#8$"+DGW<&*!"'7$$"+,LQN@!#8$"+0TI5&*!"'7$$"+7u#\8#!#8$"+K0`<&*!"'7$$"+=<ZM@!#8$"+m<R5&*!"'7$$"+>i,M@!#8$"+k"=w^*!"'7$$"+84cL@!#8$"+c$z/^*!"'7$$"+-e5L@!#8$"+Bdq<&*!"'7$$"+&)3lK@!#8$"+voc5&*!"'7$$"+ih>K@!#8$"+2Kz<&*!"'7$$"+L;uJ@!#8$"+>Vl5&*!"'7$$"+)H(GJ@!#8$"+A1)y^*!"'7$$"+cJ$38#!#8$"+'oT2^*!"'7$$"+2#z.8#!#8$"+hz'z^*!"'7$$"+`a#*H@!#8$"1*****>)*G3^*!#77$$"+"*=ZH@!#8$"+G_0=&*!"'7$$"+A&=!H@!#8$"+3i"4^*!"'7$$"+Z`cG@!#8$"+BC9=&*!"'7$$"+kB6G@!#8$"+dL+6&*!"'7$$"+u&fw7#!#8$"+Y&H#=&*!"'7$$"+xp?F@!#8$"+T/46&*!"'7$$"+tXvE@!#8$"+$f;$=&*!"'7$$"*O-j7#!#7$"+Wu<6&*!"'7$$"*M]e7#!#7$"+rNS=&*!"'7$$"+7&)RD@!#8$"+"Qk7^*!"'7$$"+wo%\7#!#8$"+u/\=&*!"'7$$"+Ka\C@!#8$"+U7N6&*!"'7$$"*=WS7#!#7$"+/td=&*!"'7$$"*7$fB@!#7$"+K!Q9^*!"'7$$"+^A9B@!#8$"+mSm=&*!"'7$$"+t:pA@!#8$"+YZ_6&*!"'7$$"+(3TA7#!#8$"+_2v=&*!"'7$$"+"z!z@@!#8$"+&R6;^*!"'7$$"+(oS87#!#8$"+pt$)=&*!"'7$$"+u2*37#!#8$"+ozp6&*!"'7$$"+_5W?@!#8$"+8R#*=&*!"'7$$"*_"**>@!#7$"*Z%y6&*!"&7$$"+z@a>@!#8$"+#Q5!>&*!"'7$$"+GI4>@!#8$"+'*3(=^*!"'7$$"+oSk=@!#8$"+#y'4>&*!"'7$$"+)H&>=@!#8$"+cs&>^*!"'7$$"+<nu<@!#8$"*6$=>&*!"&7$$"+F$)H<@!#8$"*aV?^*!"&7$$"+F,&o6#!#8$"+p$p#>&*!"'7$$"+;@S;@!#8$"+a(H@^*!"'7$$"+&Haf6#!#8$"+_bN>&*!"'7$$"+km]:@!#8$"+'*e@7&*!"'7$$"+A#f]6#!#8$"+m;W>&*!"'7$$"+p>h9@!#8$"+p>I7&*!"'7$$"+0\;9@!#8$"+3x_>&*!"'7$$"*.=P6#!#7$"*(zQ7&*!"&7$$"+W8F8@!#8$"+"o8'>&*!"'7$$"+Z[#G6#!#8$")RZ7&*!"%7$$"+Q&yB6#!#8$"+z&*p>&*!"'7$$"+=C$>6#!#8$"*wfD^*!"&7$$"+'['[6@!#8$"*T&y>&*!"&7$$"+V2/6@!#8$"1*****RaXE^*!#77$$"+)=&f5@!#8$"+m6()>&*!"'7$$"+@)\,6#!#8$"+i7t7&*!"'7$$"+TYq4@!#8$"+`o&*>&*!"'7$$"*lf#4@!#7$"*"p"G^*!"&7$$"+Y[")3@!#8$"+rC/?&*!"'7$$"*Bq$3@!#7$"+"[-H^*!"'7$$"+,e#z5#!#8$"+8!G,_*!"'7$$"*c"[2@!#7$"+()z)H^*!"'7$$"+0v.2@!#8$"*\8-_*!"&7$$"+QOf1@!#8$"+<M28&*!"'7$$"+e*\h5#!#8$"+%*))H?&*!"'7$$"+lkq0@!#8$"+#yeJ^*!"'7$$"+eJE0@!#8$"+HUQ?&*!"'7$$"+Q+#[5#!#8$"1*****f2WK^*!#77$$"+/rP/@!#8$"+#\p/_*!"'7$$"+dV$R5#!#8$"+*HHL^*!"'7$$"+'z"\.@!#8$"+'oa0_*!"'7$$"+A%\I5#!#8$"+^WT8&*!"'7$$"+Lsg-@!#8$"+2)R1_*!"'7$$"*Bl@5#!#7$"+L&*\8&*!"'7$$"+8Ms,@!#8$"+f[s?&*!"'7$$"+#y"G,@!#8$"+WXe8&*!"'7$$"+O.%35#!#8$"+V)43_*!"'7$$"+w!*R+@!#8$"+%[pO^*!"'7$$"+,!e**4#!#8$"+dZ*3_*!"'7$$"+6r^*4#!#8$"+aVv8&*!"'7$$"+1k2*4#!#8$"+*fz4_*!"'7$$"+()ej)4#!#8$"+e"RQ^*!"'7$$"+_b>)4#!#8$"+rV1@&*!"'7$$"+-av(4#!#8$"+"*Q#R^*!"'7$$"+OaJ(4#!#8$"+v!\6_*!"'7$$"+bc(o4#!#8$"+a&3S^*!"'7$$"+fgV'4#!#8$"+4PB@&*!"'7$$"+Ym*f4#!#8$"+YJ49&*!"'7$$"+=ub&4#!#8$"+v#=8_*!"'7$$"+u$=^4#!#8$"+tw<9&*!"'7$$"+9&zY4#!#8$"+rFS@&*!"'7$$"+Q3C%4#!#8$"+B@E9&*!"'7$$"+XB!Q4#!#8$"+&>([@&*!"'7$$"+OSO$4#!#8$"1******3lM9&*!#77$$"*"f#H4#!#7$"+`:d@&*!"'7$$"+oz[#4#!#8$"+B3V9&*!"'7$$"+4-0#4#!#8$"+Rel@&*!"'7$$"+LEh"4#!#8$"+s]^9&*!"'7$$"*Cv64#!#7$"+f+u@&*!"'7$$"+J!Q24#!#8$"+^#*f9&*!"'7$$"+.5I!4#!#8$"+1U#=_*!"'7$$"+fT')*3#!#8$"+eLo9&*!"'7$$"+(\F%*3#!#8$"+)G3>_*!"'7$$"+<5**)3#!#8$"+,uw9&*!"'7$$"*sa&)3#!#7$")B*>_*!"%7$$"+0'=")3#!#8$"+s8&[^*!"'7$$"+sEo(3#!#8$"+Ti2A&*!"'7$$"+@pC(3#!#8$"+t_$\^*!"'7$$"+_8"o3#!#8$"+:,;A&*!"'7$$"+lfP'3#!#8$"+4">]^*!"'7$$"+f2%f3#!#8$"+BRCA&*!"'7$$"+Nd]&3#!#8$"+uG5:&*!"'7$$"+#*32&3#!#8$"+fwKA&*!"'7$$"+Jij%3#!#8$"+ol=:&*!"'7$$"+^<?%3#!#8$"+E8TA&*!"'7$$"+_uw$3#!#8$"+(>q_^*!"'7$$"+LLL$3#!#8$"+F\\A&*!"'7$$"+'R**G3#!#8$"*w``^*!"&7$$"+RcY#3#!#8$"+f%yD_*!"'7$$"+j?.#3#!#8$"+[sV:&*!"'7$$"+o')f"3#!#8$"+D>mA&*!"'7$$"+`a;"3#!#8$"+v1_:&*!"'7$$"+=Ct!3#!#8$"+@`uA&*!"'7$$"+j&*H!3#!#8$"+KSg:&*!"'7$$"+*)o')z?!#8$"+\'GG_*!"'7$$"+%RM%z?!#8$"+=to:&*!"'7$$"+z?+z?!#8$"+2>"H_*!"'7$$"+W*p&y?!#8$"+R0x:&*!"'7$$"+))z8y?!#8$")^*H_*!"%7$$"+7iqx?!#8$"+*o`e^*!"'7$$"+;YFx?!#8$"+E#yI_*!"'7$$"+)>Vo2#!#8$"+tn$f^*!"'7$$"*'>Tw?!#7$"+"GhJ_*!"'7$$"+,4)f2#!#8$"+$z>g^*!"'7$$"+@+bv?!#8$"+sUCB&*!"'7$$"+>$>^2#!#8$"+UF5;&*!"'7$$"+(z)ou?!#8$"+&>FL_*!"'7$$"+`%eU2#!#8$"+Dc=;&*!"'7$$"+(GGQ2#!#8$"+[+TB&*!"'7$$")$)Rt?!#6$"+Q%oi^*!"'7$$"+"\oH2#!#8$"+NG\B&*!"'7$$"*')QD2#!#7$"+&=^j^*!"'7$$"+2%4@2#!#8$"+`bdB&*!"'7$$"+L,or?!#8$"+nQV;&*!"'7$$"+O5Dr?!#8$"+3#eO_*!"'7$$"+;@#32#!#8$"+yk^;&*!"'7$$"+vLRq?!#8$"+#zSP_*!"'7$$"+6['*p?!#8$"+C!*f;&*!"'7$$"+Ck`p?!#8$"+7L#Q_*!"'7$$"+9#3"p?!#8$"+0:o;&*!"'7$$"+#=!oo?!#8$"+jd!R_*!"'7$$"+FBDo?!#8$"*#Rw;&*!"&7$$"+[Y#y1#!#8$"+["))R_*!"'7$$"+ZrRn?!#8$"+li%o^*!"'7$$"+A)pp1#!#8$"+n/2C&*!"'7$$"+uEam?!#8$"+W&Gp^*!"'7$$"+-d6m?!#8$"+<F:C&*!"'7$$"+2*)ol?!#8$"+`2,<&*!"'7$$"+)Gi_1#!#8$"+,\BC&*!"'7$$"+Ye$[1#!#8$"+-H4<&*!"'7$$"+z&4W1#!#8$"+AqJC&*!"'7$$"+)[$)R1#!#8$"*)\<<&*!"&7$$"+tvbj?!#8$"+r!*RC&*!"'7$$"+M=8j?!#8$"1*****H*pD<&*!#77$$"+riqi?!#8$"+e5[C&*!"'7$$"+$)3Gi?!#8$"*%*Qt^*!"&7$$"*nb=1#!#7$"+yHcC&*!"'7$$"+L1Vh?!#8$"+A3U<&*!"'7$$"+rd+h?!#8$"+K[kC&*!"'7$$"+%3"eg?!#8$"+ME]<&*!"'7$$"+sl:g?!#8$"+<msC&*!"'7$$"+NAtf?!#8$"*Q%e<&*!"&7$$"+s!3$f?!#8$"+R$3[_*!"'7$$"+&3%))e?!#8$"+mgm<&*!"'7$$"+s-Ye?!#8$"+'***)[_*!"'7$$"+Lm.e?!#8$"+#oZx^*!"'7$$"+pJhd?!#8$"+$er\_*!"'7$$"+z)*=d?!#8$"+K#Hy^*!"'7$$"+jnwc?!#8$"+2J0D&*!"'7$$"+@QMc?!#8$"+<2"z^*!"'7$$"+`5#f0#!#8$"+lX8D&*!"'7$$"+e%)\b?!#8$"+O@*z^*!"'7$$"+Qg2b?!#8$"+ef@D&*!"'7$$"+"z`Y0#!#8$"+"\t!=&*!"'7$$"+<<Ba?!#8$"+%G(HD&*!"'7$$"+<)4Q0#!#8$"+uZ:=&*!"'7$$"*4)Q`?!#7$"+X&y`_*!"'7$$"+Pl'H0#!#8$"+)*fB=&*!"'7$$"+c^a_?!#8$"+R(fa_*!"'7$$"+[R7_?!#8$"+drJ=&*!"'7$$"+8Hq^?!#8$"+r3aD&*!"'7$$"+^?G^?!#8$"*D)R=&*!"&7$$"+i8'30#!#8$"+O>iD&*!"'7$$"+X3W]?!#8$"+y#z%=&*!"'7$$")0-]?!#6$"+OHqD&*!"'7$$"+G.g\?!#8$"+N-c=&*!"'7$$"+G.=\?!#8$"*(QyD&*!"&7$$")0w[?!#6$"+K6k=&*!"'7$$"+W3M[?!#8$"+TZ'e_*!"'7$$"*O@z/#!#7$"+k>s=&*!"'7$$"+[?]Z?!#8$"1*****faXf_*!#77$$"+2H3Z?!#8$"+JF!)=&*!"'7$$"+QRmY?!#8$"+%GEg_*!"'7$$"*9Xi/#!#7$"+KM))=&*!"'7$$"+9l#e/#!#8$"+hp5E&*!"'7$$"+f!3a/#!#8$"+uS'*=&*!"'7$$"+v(*)\/#!#8$"+rv=E&*!"'7$$"+i;dW?!#8$"+WY/>&*!"'7$$"*s`T/#!#7$"+="oi_*!"'7$$"+\ftV?!#8$"*:D">&*!"&7$$"+\$=L/#!#8$"+*f[j_*!"'7$$"+>4!H/#!#8$"+&f0#>&*!"'7$$"*m$[U?!#7$"+=!Hk_*!"'7$$"+rl1U?!#8$"+wfG>&*!"'7$$"+`'\;/#!#8$"*P4l_*!"&7$$"+0HBT?!#8$"+"Hm$>&*!"'7$$"+Fj"3/#!#8$"+d'*eE&*!"'7$$"+=**RS?!#8$"+TlW>&*!"'7$$"*o$)*R?!#7$"+"))pm_*!"'7$$"+7wcR?!#8$"+Dn_>&*!"'7$$"+8<:R?!#8$"+T+vE&*!"'7$$"+%)ftQ?!#8$"*&og>&*!"&7$$"+C/KQ?!#8$"+R,$o_*!"'7$$"+M]!z.#!#8$"+4po>&*!"'7$$"+8)*[P?!#8$"+s,"p_*!"'7$$"+hZ2P?!#8$"+.pw>&*!"'7$$"+y)fm.#!#8$"+Q,*p_*!"'7$$"+k^CO?!#8$"+Ko%)>&*!"'7$$"+>1$e.#!#8$"+W+2F&*!"'7$$"+ViTN?!#8$")n#*>&*!"%7$$"+N?+N?!#8$"+&))\r_*!"'7$$"+'*zeM?!#8$"+/l+?&*!"'7$$"+DT<M?!#8$"+f'Hs_*!"'7$$"+B/wL?!#8$"+Ui3?&*!"'7$$"+*)oML?!#8$"+u$4t_*!"'7$$"+BN$H.#!#8$"+:f;?&*!"'7$$"+D._K?!#8$"+B!*QF&*!"'7$$"+&H2@.#!#8$"+GbC?&*!"'7$$"+LWpJ?!#8$"+4'ou_*!"'7$$"+R<GJ?!#8$"+w]K?&*!"'7$$"+7#p3.#!#8$"+K"[v_*!"'7$$"+`oXI?!#8$"+kXS?&*!"'7$$"+hY/I?!#8$"+#fFw_*!"'7$$"+OEjH?!#8$"+()R[?&*!"'7$$"+z2AH?!#8$"+*)pqF&*!"'7$$"+*34)G?!#8$"+WLc?&*!"'7$$"+mvRG?!#8$"+@jyF&*!"'7$$"*@')z-#!#7$"+TEk?&*!"'7$$"*-vv-#!#7$"+$fly_*!"'7$$"+)*R;F?!#8$"+u=s?&*!"'7$$"+TJvE?!#8$"+*zWz_*!"'7$$"+_CME?!#8$"+Y5!3_*!"'7$$"+H>$f-#!#8$"+UR-G&*!"'7$$"+s:_D?!#8$"+`,)3_*!"'7$$"+"Q6^-#!#8$"+DI5G&*!"'7$$"+d8qC?!#8$"+&>f4_*!"'7$$"+)\"HC?!#8$"+U?=G&*!"'7$$"+0=)Q-#!#8$"+x"Q5_*!"'7$$"+yAZB?!#8$"(h#G&*!"$7$$"+<H1B?!#8$"+$4<6_*!"'7$$"+APlA?!#8$"+#*)R$G&*!"'7$$"+#pWA-#!#8$"*&f>@&*!"&7$$"+Fe$=-#!#8$"+C(=%G&*!"'7$$"+GrU@?!#8$"+ZZF@&*!"'7$$"+$f=5-#!#8$"*\(\G&*!"&7$$"+C-h??!#8$"+yMN@&*!"'7$$"*----#!#7$"+'>w&G&*!"'7$$"+")Rz>?!#8$"+X@V@&*!"'7$$"+2hQ>?!#8$"+R[lG&*!"'7$$"+(Ry*=?!#8$"+^2^@&*!"'7$$"+_3d=?!#8$"*UL(G&*!"&7$$"+rM;=?!#8$"+)H*e@&*!"'7$$"+biv<?!#8$"+T>")G&*!"'7$$"+.#\t,#!#8$"+zxm@&*!"'7$$"+:B%p,#!#8$"+'R!*)G&*!"'7$$"+#fNl,#!#8$"+,iu@&*!"'7$$"+K!Hh,#!#8$"+"zo*G&*!"'7$$"+PEs:?!#8$"+dX#=_*!"'7$$"+0kJ:?!#8$"+Cr/H&*!"'7$$"+O."\,#!#8$"+`G!>_*!"'7$$"+KW]9?!#8$"+(RD"H&*!"'7$$"+"p)49?!#8$"+*3")>_*!"'7$$"+8Jp8?!#8$"+1O?H&*!"'7$$"+*p(G8?!#8$"*Ef?_*!"&7$$"+[C)G,#!#8$"+a<GH&*!"'7$$"*OxC,#!#7$"+st8A&*!"'7$$"+NC27?!#8$"+Q)f$H&*!"'7$$"+swm6?!#8$"+Ba@A&*!"'7$$"+tIE6?!#8$"+iyVH&*!"'7$$"+P'e3,#!#8$"+4MHA&*!"'7$$"+jVX5?!#8$"+Ce^H&*!"'7$$"+^-05?!#8$"+O8PA&*!"'7$$"+-jk4?!#8$"+EPfH&*!"'7$$"+;DC4?!#8$"+-#\C_*!"'7$$"+"*)Q)3?!#8$"+m:nH&*!"'7$$"+HaV3?!#8$"+.q_A&*!"'7$$"+H@.3?!#8$"+X$\(H&*!"'7$$"***Gw+#!#7$"*v/E_*!"&7$$"+9gA2?!#8$"+iq#)H&*!"'7$$"+*>Bo+#!#8$"+JCoA&*!"'7$$"+Y0U1?!#8$"+>Z!*H&*!"'7$$"+a!=g+#!#8$"+Z+wA&*!"'7$$"+Cdh0?!#8$"+8B)*H&*!"'7$$"+bN@0?!#8$"+4w$G_*!"'7$$"+[:"[+#!#8$"+[)f+`*!"'7$$"+,(4W+#!#8$"+0^"H_*!"'7$$"+;!3S+#!#8$"+At8I&*!"'7$$"+#\1O+#!#8$"+UD*H_*!"'7$$"+G^?.?!#8$"+MZ@I&*!"'7$$"+DR!G+#!#8$"+>*pI_*!"'7$$"+$)GS-?!#8$"+$3#HI&*!"'7$$"+-?+-?!#8$"+Ns9B&*!"'7$$"+"G,;+#!#8$"+w$p.`*!"'7$$"*s+7+#!#7$"+([CK_*!"'7$$"*K+3+#!#7$"+1mWI&*!"'7$$"*3+/+#!#7$"+%o,L_*!"'7$$"#?!"&$"+wP_I&*!"'-%&COLORG6'%$RGBG$")C)eq%!")$""!!""$"('>!\&!")-%+_ATTRIBUTEG6#/%'sourceG%,mathdefaultG-%%VIEWG6$;$""!!""$""#!"#%(DEFAULTG-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$5'!""-%)BOUNDS_YG6#$"#g!""-%-BOUNDS_WIDTHG6#$"%SJ!""-%.BOUNDS_HEIGHTG6#$"%!\$!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"Ig==</Plot></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L5065" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">n:=5000: evalf(PR(n)/(2*sqrt(3))^n*Pi*n^4);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEsOTUzMC41MjM3NzZGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JCIrd1BfSSYqISIn</Equation></Text-field>
</Output>
</Group>
<Group view="code" labelreference="L5018" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot([seq([1/n,PR(n)/(2*sqrt(3))^n*Pi*n^5-PR(n-2)/(2*sqrt(3))^(n-2)*Pi*(n-2)^5],n=3..nops(liste))],x=0..0.02);</Text-field>
</Input>
<Output><Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400.0" type="two-dimensional" width="400.0" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">6*-%'CURVESG6$7bc^l7$$"+LLLLL!#5$"+eu>bs!")7$$"#D!"#$"*pnI%=!"'7$$""#!""$"+BwT)R$!"(7$$"+nmmm;!#5$"+"=z?[&!"(7$$"+H9dG9!#5$"+NS!oo(!"(7$$"$D"!"$$"+A$=!G5!"'7$$"+66666!#5$"+8e#pG"!"'7$$"""!""$"+ARuu:!"'7$$"+"4444*!#6$"*%)\)[=!"&7$$"+LLLL$)!#6$"+Xm*)[@!"'7$$"+#p2Bp(!#6$"+3"z"GC!"'7$$"+Vr&G9(!#6$"+%o?/t#!"'7$$"+nmmmm!#6$"+i-\2I!"'7$$"$D'!"%$"+luB1L!"'7$$"21++5%HN#)e!#=$"+)Hlpd$!"'7$$"+cbbbb!#6$"+EHroQ!"'7$$"+&*y:j_!#6$"+i&G18%!"'7$$""&!"#$"+'[hLT%!"'7$$"+iZ!>w%!#6$"*,B^m%!"&7$$"+XXXXX!#6$"+*>^x$\!"'7$$"+(3EyM%!#6$"+&R,(y^!"'7$$"+nmmmT!#6$"+7isSa!"'7$$""%!"#$"+fwlqc!"'7$$"+YQ:YQ!#6$"*Gf>#f!"&7$$"+/Pq.P!#6$"*zX49'!"&7$$"+r&G9d$!#6$"20++quX;Q'!#87$$"+ieF[M!#6$"+C%R**e'!"'7$$"+LLLLL!#6$"+01J?o!"'7$$"+_k!eA$!#6$"1*****\xr#=q!#77$$"%DJ!"&$"+-*y'Qs!"'7$$"*....$!#5$"+>0tEu!"'7$$"+rk<TH!#6$"20++!\0fPw!#87$$"+dG9dG!#6$"+2w=;y!"'7$$"+yxxxF!#6$")L%z,)!"%7$$"+.Fq-F!#6$"2&******QEb(=)!#87$$"+Z*y:j#!#6$"+%*\l!Q)!"'7$$"+kD5kD!#6$"+k>uT&)!"'7$$"#D!"$$"+@'Qms)!"'7$$"*RC!RC!#5$"+c%e'z))!"'7$$"+"Q_4Q#!#6$"+(='yc!*!"'7$$"+&R"eDB!#6$"+b&y@?*!"'7$$"+tsssA!#6$"+m&e>P*!"'7$$"+AAAAA!#6$"+HV95&*!"'7$$"+VI"R<#!#6$"+L%zHn*!"'7$$"+u&fw7#!#6$"+z)eV!)*!"'7$$"+LLL$3#!#6$"+d?jg**!"'7$$"+Fj"3/#!#6$"+:%e&35!"&7$$""#!"#$"+%zlN-"!"&7$$"+9Vyg>!#6$"+GSXN5!"&7$$"+Bp2B>!#6$"*ov)\5!"%7$$"+`Cz')=!#6$"+-1>h5!"&7$$"+_=&=&=!#6$"+T(e]2"!"&7$$"+=====!#6$"+%)>$e3"!"&7$$"+'G9dy"!#6$"+#*o<*4"!"&7$$"+lfQa<!#6$"*:Q%46!"%7$$"+Jz8C<!#6$"+k#)GA6!"&7$$"+a_"\p"!#6$"+%Ql?8"!"&7$$"+nmmm;!#6$"+)QZW9"!"&7$$"+iUMR;!#6$"+zkw`6!"&7$$"+EK!Hh"!#6$"+*R0d;"!"&7$$"+(e,te"!#6$"*$4fu6!"%7$$"&Dc"!"'$"+N-6'="!"&7$$"+Q:YQ:!#6$"+R^e%>"!"&7$$"+:::::!#6$"+Ooq07!"&7$$"+8t`#\"!#6$"+3Ez87!"&7$$"+N#)eq9!#6$"+Rt`C7!"&7$$"+i`F\9!#6$"+KTDK7!"&7$$"+H9dG9!#6$"+a7kU7!"&7$$"+/2X39!#6$"+oz+]7!"&7$$"+*))))))Q"!#6$"*lb+E"!"%7$$"+9I')p8!#6$"+;+4n7!"&7$$"+^8N^8!#6$"*J:oF"!"%7$$"+LLLL8!#6$"+sR`$G"!"&7$$"+u%*y:8!#6$"+%*G&HH"!"&7$$"+*H,()H"!#6$"*[r$*H"!"%7$$"+#G^?G"!#6$"+z!*\38!"&7$$"+&yAeE"!#6$"+uAj98!"&7$$"$D"!"%$"+$p#[B8!"&7$$"+,zcM7!#6$"+/VMH8!"&7$$"+&>7&>7!#6$"+\3$zL"!"&7$$"+x#>[?"!#6$"*'Q`V8!"%7$$"*>w/>"!#5$"+`!p=N"!"&7$$"+)eqk<"!#6$"+(oDsN"!"&7$$"+)p!zi6!#6$"+>8Kl8!"&7$$"+(GD%\6!#6$"+&3V/P"!"&7$$"+OOOO6!#6$"+l-Jy8!"&7$$"+1bfB6!#6$"+7!3KQ"!"&7$$"+66666!#6$"+7s&3R"!"&7$$"+*4,*)4"!#6$"+l6a&R"!"&7$$"+Al&p3"!#6$"+oA)HS"!"&7$$"+<)o_2"!#6$"+x?Y29!"&7$$"+(yHQ1"!#6$"+1Wq99!"&7$$"+z:j_5!#6$"*=*)*=9!"%7$$"+nmmT5!#6$"+W:/E9!"&7$$"+Ny#4."!#6$"+())R,V"!"&7$$"+j"3/-"!#6$"+61,P9!"&7$$"*,,,,"!#5$"+c1$4W"!"&7$$"""!"#$"+3wiZ9!"&7$$"+*4!*4!**!#7$"+[qP^9!"&7$$"+p:#R!)*!#7$"+ww!zX"!"&7$$"+kyt3(*!#7$"+*y$\h9!"&7$$"+:YQ:'*!#7$"+V^'yY"!"&7$$"+C&4Q_*!#7$"*#[Hr9!"%7$$"+kA'RV*!#7$"+xN^x9!"&7$$"+$R%zX$*!#7$"+\Lz!["!"&7$$"+f#f#f#*!#7$"+Qe'o["!"&7$$"+F>Ju"*!#7$"+&*=+!\"!"&7$$"+"4444*!#7$"+<T$f\"!"&7$$"+4!4!4!*!#7$"+HB$*)\"!"&7$$"+H9dG*)!#7$"+y*HZ]"!"&7$$"+Avb\))!#7$"+<ff2:!"&7$$"+D)H>x)!#7$")WE8:!"$7$$"+u@l&p)!#7$"+cL+;:!"&7$$"+b'*o?')!#7$"+2ya@:!"&7$$"+Z&3qa)!#7$"+1[;C:!"&7$$"+ridu%)!#7$"+0,fH:!"&7$$"1*****\MhLS)!#=$"+C**3K:!"&7$$"1,++LLLL$)!#=$"+62SP:!"&7$$"*"GYk#)!#6$"+$*yyR:!"&7$$"+68s'>)!#7$"+#e))\a"!"&7$$"+,83I")!#7$"*Xnsa"!"%7$$"1******Gh^k!)!#=$"+VAO_:!"&7$$"")!"$$"+7p`a:!"&7$$"+Oz]Oz!#7$"+4)H&f:!"&7$$"+[d,uy!#7$"+*>/;c"!"&7$$"&D"y!"($"+6!*\m:!"&7$$"+%)z$>v(!#7$"+eoZo:!"&7$$"+#p2Bp(!#7$"+>sFt:!"&7$$"+'y(eLw!#7$"+%3i^d"!"&7$$"+wvvvv!#7$"+e9()z:!"&7$$"+#*pz=v!#7$"+Onm"e"!"&7$$"+nloiu!#7$"+H%)G'e"!"&7$$"+2uS2u!#7$"+it*ze"!"&7$$"1*****f<THN(!#=$"*`MDf"!"%7$$"+t+F*H(!#7$"+7-;%f"!"&7$$"+7oPYs!#7$"+oeh)f"!"&7$$"+/YC%>(!#7$"+b7;+;!"&7$$"+Vr&G9(!#7$"+w#QXg"!"&7$$"2&*****>e)>#4(!#>$"+">1gg"!"&7$$"+@NDUq!#7$"+HtI5;!"&7$$"2&*****H*p+$*p!#>$"+s/q6;!"&7$$"+WWWWp!#7$"+f$Gfh"!"&7$$"+C<b'*o!#7$"*J\sh"!"%7$$"+o]J\o!#7$"+hkS@;!"&7$$"+)3@F!o!#7$"+"pdEi"!"&7$$"+dnvcn!#7$"+9luE;!"&7$$"+'R49r'!#7$"+)QIzi"!"&7$$"+nmmmm!#7$"+)=`>j"!"&7$$"+cl^Am!#7$"+n>2L;!"&7$$"+ot%*yl!#7$"+a4.P;!"&7$$"+7x%f`'!#7$"+2o3Q;!"&7$$"+%\1N\'!#7$"+%4%)>k"!"&7$$"+.Hh^k!#7$"+*4zHk"!"&7$$"21+++Tc-T'!#>$"+9n"ok"!"&7$$"+_nUpj!#7$"+iGvZ;!"&7$$"+CR6Hj!#7$"+[F`^;!"&7$$"+w"3$*G'!#7$"*&>T_;!"%7$$"$D'!"&$"+sf8c;!"&7$$"+C,=6i!#7$"+f+'pl"!"&7$$"+1&RG<'!#7$"+2+jg;!"&7$$"+D$p\8'!#7$"+P2Sh;!"&7$$"+w4c(4'!#7$"+F$=]m"!"&7$$"+hgggg!#7$"+)QPdm"!"&7$$"+'Q'4Cg!#7$"+pUIp;!"&7$$"+_R-))f!#7$"+#Gt*p;!"&7$$"+_4Q_f!#7$"+Q5\t;!"&7$$"+j(fr"f!#7$"*c6Tn"!"%7$$"+THN#)e!#7$"+7<ex;!"&7$$"+;K&z%e!#7$"*Cb"y;!"%7$$"+)[`R"e!#7$"+^#z:o"!"&7$$"+@oM!y&!#7$"+As5#o"!"&7$$"+Pk7Zd!#7$"+)\'[&o"!"&7$$"+9dG9d!#7$"+(Hqfo"!"&7$$"+#===o&!#7$"+">1$*o"!"&7$$"+9vr\c!#7$"+Yru*o"!"&7$$"+Gv(zh&!#7$"+f4/$p"!"&7$$"+z@f'e&!#7$"+`.W$p"!"&7$$"+cbbbb!#7$"+PLp'p"!"&7$$"+y='[_&!#7$")C0(p"!"$7$$"+%\0X\&!#7$"+hdE+<!"&7$$"+u3[ka!#7$"*o&e+<!"%7$$"+4EyMa!#7$"+y0w.<!"&7$$"+0aS0a!#7$"+(\USq"!"&7$$"2/++g3WjP&!#>$"+^+=2<!"&7$$"+$e$fZ`!#7$"*2Duq"!"%7$$"+O*[">`!#7$"+dj_5<!"&7$$"+"H05H&!#7$"+Obt5<!"&7$$"+&*y:j_!#7$"+&f,Qr"!"&7$$"+%4-cB&!#7$"+ef(Rr"!"&7$$"+LLL3_!#7$"+*y2qr"!"&7$$"*:Z8=&!#6$"+@$[rr"!"&7$$"+v"RY:&!#7$"+"*o9?<!"&7$$"+G^?G^!#7$"+VXD?<!"&7$$"+;3/-^!#7$"+$y?Ks"!"&7$$"+K@9w]!#7$"+tkHB<!"&7$$"*0000&!#6$"+"GJis"!"&7$$"+Gc7D]!#7$"+%*eFE<!"&7$$""&!"$$"+P,=H<!"&7$$"+yV7v\!#7$"+GX>H<!"&7$$"*0&\]\!#6$"+W!p?t"!"&7$$"+u$3h#\!#7$"+QS0K<!"&7$$"+%yg>!\!#7$"+N'**[t"!"&7$$"*y[!y[!#6$"+Gg&[t"!"&7$$"+K*oV&[!#7$"+)[twt"!"&7$$"+uy"4$[!#7$"+^?gP<!"&7$$"+3Bp2[!#7$"+F@RS<!"&7$$"2&*****\**)o%y%!#>$"+.OHS<!"&7$$"+iZ!>w%!#7$"+Eq0V<!"&7$$"2/++I\O$RZ!#>$"+L@$Hu"!"&7$$"+K6)pr%!#7$"+2'pcu"!"&7$$"+"oN[p%!#7$"+T!>bu"!"&7$$"+'>(*Gn%!#7$"+[7B[<!"&7$$"+"zi6l%!#7$"+"ob![<!"&7$$"*jH'HY!#6$"+yKu]<!"&7$$"+J\H3Y!#7$"*OV0v"!"%7$$"+jf:(e%!#7$"+')p?`<!"&7$$"+Y+@mX!#7$"+YL)Hv"!"&7$$"+XXXXX!#7$"+=Oib<!"&7$$"+yo)[_%!#7$"+joPb<!"&7$$"+/X]/X!#7$"+xV*zv"!"&7$$"+L\I%[%!#7$"+'4Dxv"!"&7$$"+9dGkW!#7$"*V?.w"!"%7$$"+WWWWW!#7$"+&>H+w"!"&7$$"+h(yZU%!#7$"+3Hgi<!"&7$$"+WjG0W!#7$"+p-Hi<!"&7$$"+7\'fQ%!#7$"+/H%[w"!"&7$$"+FA"oO%!#7$"+'R4Xw"!"&7$$"+(3EyM%!#7$"+w9/n<!"&7$$"+HV+HV!#7$"+;wom<!"&7$$"+G[M5V!#7$"+^'*>p<!"&7$$"+%\X=H%!#7$"+Tf#)o<!"&7$$"+uU]tU!#7$"+A%=8x"!"&7$$"+\">`D%!#7$"*ND4x"!"%7$$"+O")GPU!#7$"+a()Rt<!"&7$$"+$G4%>U!#7$"*z')Hx"!"%7$$"+s1o,U!#7$"+"eTax"!"&7$$"+=/5%=%!#7$"+"=6]x"!"&7$$"+nmmmT!#7$"+2yWx<!"&7$$"+$fx$\T!#7$"+:%**px"!"&7$$"+09BKT!#7$"+7$=%z<!"&7$$"+PjA:T!#7$"+cB&*y<!"&7$$"+c1O)4%!#7$"+YRN"y"!"&7$$"+`Ej"3%!#7$"+X3(3y"!"&7$$"*lS]1%!#6$"+ObD$y"!"&7$$"+'*He[S!#7$"+%pbFy"!"&7$$"+l!eA.%!#7$"+%)Q7&y"!"&7$$"+dU1;S!#7$"+#p2Yy"!"&7$$""%!"$$"+o(fpy"!"&7$$"+XP1%)R!#7$"+2wU'y"!"&7$$"+oRDoR!#7$"+URw)y"!"&7$$"*<pD&R!#6$"+$=;#)y"!"&7$$"+uy+PR!#7$"+Tr`!z"!"&7$$"+F'o:#R!#7$"+UT(**y"!"&7$$"'D1R!")$"+v+G#z"!"&7$$"+%e]5*Q!#7$"+(=-<z"!"&7$$"+#**of(Q!#7$"+PM*Rz"!"&7$$"+hQ+hQ!#7$"+(*4S$z"!"&7$$"+YQ:YQ!#7$"+)*yn&z"!"&7$$"+DwTJQ!#7$"+N72&z"!"&7$$"+$*Qz;Q!#7$"+7TL(z"!"&7$$"+p8G-Q!#7$"+XNr'z"!"&7$$"+)yyyy$!#7$"*ri*)z"!"%7$$"+1\etP!#7$"*bG$)z"!"%7$$"+'\)RfP!#7$"+6Vc+=!"&7$$"+_$=`u$!#7$"*'o"**z"!"%7$$"+%GV8t$!#7$"+7&R@!=!"&7$$"+>@Z<P!#7$"+l!z9!=!"&7$$"+/Pq.P!#7$"+(*))o.=!"&7$$")p.!p$!#5$"+Qd,.=!"&7$$"+)eqkn$!#7$"*.8_!=!"%7$$"+jO+jO!#7$"+Qu_/=!"&7$$"+O]j\O!#7$"+lCr1=!"&7$$"+OOOOO!#7$"+4Z,1=!"&7$$"+1%)=BO!#7$"+Nx=3=!"&7$$"+.$3,h$!#7$"+x!yu!=!"&7$$"+-B7(f$!#7$"+i$R'4=!"&7$$"+"RHUe$!#7$"+e!=*3=!"&7$$"+r&G9d$!#7$"+_y16=!"&7$$"+h)=(eN!#7$"+_^L5=!"&7$$"+"H*4YN!#7$")PZ7=!"$7$$"+0*oN`$!#7$"+W)H<"=!"&7$$"+hn7@N!#7$"+&QdQ"=!"&7$$"*$>x3N!#6$"*h-J"=!"%7$$"+'\.l\$!#7$"+v$>_"=!"&7$$"+d0K%[$!#7$"*"RX9=!"%7$$"+AAAsM!#7$"+D,c;=!"&7$$"+7w?gM!#7$"+$>%y:=!"&7$$"+ieF[M!#7$"+y+)y"=!"&7$$"+<hUOM!#7$"+(*Q4<=!"&7$$"+MvlCM!#7$"+l'z">=!"&7$$"+$GpHT$!#7$"+ZMQ==!"&7$$"+W0O,M!#7$"+2$f/#=!"&7$$"+30$)*Q$!#7$"+dKl>=!"&7$$"+y$y$yL!#7$"+9%><#=!"&7$$"+nL+nL!#7$"+MP!4#=!"&7$$"+)p/dN$!#7$"+$QgH#=!"&7$$"+0;[WL!#7$"+p_8A=!"&7$$"+LLLLL!#7$"+0E=C=!"&7$$"+O"fAK$!#7$"+Z#[L#=!"&7$$"+y#e7J$!#7$"+dkQD=!"&7$$"+L+L+L!#7$"+UIaC=!"&7$$"+%ot%*G$!#7$"+4BdE=!"&7$$"+D&)oyK!#7$"+=+sD=!"&7$$"+cQ(zE$!#7$"+@0uF=!"&7$$"***GtD$!#6$"+J&zo#=!"&7$$"+ZKvYK!#7$"+W9*)G=!"&7$$"+bfCOK!#7$"+F>-G=!"&7$$"+_k!eA$!#7$"*UD+$=!"%7$$"+%3Ma@$!#7$"+Wv9H=!"&7$$"+0#G^?$!#7$"+#yU6$=!"&7$$"+z"))[>$!#7$"+6nDI=!"&7$$"+wLr%=$!#7$"+dQCK=!"&7$$"+vJguJ!#7$"+^(\8$=!"&7$$"+ipbkJ!#7$"+h*GL$=!"&7$$"+KTdaJ!#7$"+wpUK=!"&7$$"+)3aY9$!#7$"+0%)RM=!"&7$$"+QizMJ!#7$"+$p)[L=!"&7$$"%DJ!"'$"*\_a$=!"%7$$"+)zk_6$!#7$")_`M=!"$7$$"+i+f0J!#7$"+6:\O=!"&7$$"+K_(f4$!#7$"+*ymb$=!"&7$$"+`(>k3$!#7$"+dd^P=!"&7$$"+xI#p2$!#7$"+VPeO=!"&7$$"+jY[nI!#7$"+3b_Q=!"&7$$"+wR5eI!#7$"*M'eP=!"%7$$"+)[!y[I!#7$"+R5_R=!"&7$$"+yO^RI!#7$"+_[dQ=!"&7$$"*....$!#6$"+;E]S=!"&7$$"+O![6-$!#7$"+U&\&R=!"&7$$"+$>[?,$!#7$"+-0ZT=!"&7$$"+.I+.I!#7$"*n50%=!"%7$$"+w>,%*H!#7$"+_\UU=!"&7$$"+FY2&)H!#7$"+([e9%=!"&7$$"+w/>wH!#7$"+;iOV=!"&7$$"*0ft'H!#6$"*C$RU=!"%7$$"+#))z&eH!#7$"+NXHW=!"&7$$"+2D&)\H!#7$"+p^JV=!"&7$$"+rk<TH!#7$"*:5_%=!"%7$$"*K^D$H!#6$"*^CU%=!"%7$$"+3m(R#H!#7$"+"H8h%=!"&7$$"+&*=X:H!#7$"+$\@^%=!"&7$$"+Wn(p!H!#7$"+(=/q%=!"&7$$"+D2b)*G!#7$"+Tj+Y=!"&7$$"*Tt,*G!#6$"+fI)y%=!"&7$$"*QW=)G!#6$"+u#zo%=!"&7$$"+=KctG!#7$"+B,v[=!"&7$$"+8&H`'G!#7$"+20uZ=!"&7$$"+dG9dG!#7$"+$f0'\=!"&7$$"+\G+\G!#7$"+\-f[=!"&7$$"+"444%G!#7$"+u'\/&=!"&7$$"*>hG$G!#6$"+1(G%\=!"&7$$"+d(e[#G!#7$"+rDG^=!"&7$$"+39!p"G!#7$"+xgD]=!"&7$$"+k())*3G!#7$"*[/@&=!"%7$$"+[/7,G!#7$"+fD2^=!"&7$$"+*3'H$z#!#7$"+'f:H&=!"&7$$"*K:by#!#6$"+U$y=&=!"&7$$"+yxxxF!#7$"+3hr`=!"&7$$"+-J3qF!#7$"+9On_=!"&7$$"+R4ViF!#7$"+,i]a=!"&7$$"+P4#[v#!#7$"*ceM&=!"%7$$"+ZFDZF!#7$"+cgGb=!"&7$$"+FgsRF!#7$"+cLBa=!"&7$$"+P/CKF!#7$"+_e0c=!"&7$$"*k&zCF!#6$"+z")*\&=!"&7$$"+/8R<F!#7$"*w:o&=!"%7$$")r-5F!#5$"+,Kvb=!"&7$$"+.Fq-F!#7$"*&fcd=!"%7$$"*z<ap#!#6$"+*e)\c=!"&7$$"+V?<)o#!#7$"*f1$e=!"%7$$"+Z^'4o#!#7$"+3XBd=!"&7$$"+"z'ztE!#7$"*%y.f=!"%7$$"+nmmmE!#7$"+=6'z&=!"&7$$"+oWdfE!#7$"+h)f(f=!"&7$$"+%*)>Dl#!#7$"+w&y'e=!"&7$$"+YE]XE!#7$"+3GZg=!"&7$$"+FC_QE!#7$"+PqQf=!"&7$$"+Z*y:j#!#7$"+Lo<h=!"&7$$"+;>nCE!#7$"+^m3g=!"&7$$"+Z5!yh#!#7$"+&3s='=!"&7$$"+dg'4h#!#7$"+mvxg=!"&7$$"+nm;/E!#7$"+6(eD'=!"&7$$"+(f-uf#!#7$"+E*f9'=!"&7$$"+vNn!f#!#7$"+`oBj=!"&7$$"+G$zRe#!#7$"+uQ8i=!"&7$$"+)e>td#!#7$"+^m!R'=!"&7$$"+(3%pqD!#7$"+Y&*zi=!"&7$$"+kD5kD!#7$"+W#oX'=!"&7$$"+dZadD!#7$"*3dM'=!"%7$$"+3/-^D!#7$"+j<Al=!"&7$$"+i#HXa#!#7$"+3m5k=!"&7$$"+m52QD!#7$"+Vt'e'=!"&7$$"*dX;`#!#6$"*E[Z'=!"%7$$"+DDDDD!#7$"*60l'=!"%7$$"+)o"*)=D!#7$"+k@Ql=!"&7$$"+9Gc7D!#7$"+#>Nr'=!"&7$$"+kcE1D!#7$"+X%3g'=!"&7$$"#D!"%$"+8xvn=!"&7$$"+'elP\#!#7$"+Dsim=!"&7$$"+*=iv[#!#7$"+#zs$o=!"&7$$"+y&*Q"[#!#7$"+C'Qs'=!"&7$$"+DvCvC!#7$"*b!)*o=!"%7$$"+-e8pC!#7$"*wUy'=!"%7$$"+(=aIY#!#7$"+.6ep=!"&7$$"+dC+dC!#7$"+[(R%o=!"&7$$"+#R!)4X#!#7$"+lX<q=!"&7$$"+vx)\W#!#7$"+,(H!p=!"&7$$"*RC!RC!#6$"+Y5wq=!"&7$$"+C+4LC!#7$"*t7'p=!"%7$$"+mW=FC!#7$"+f1Mr=!"&7$$"+1vI@C!#7$"+V*)=q=!"&7$$"+P*eaT#!#7$"+4N">(=!"&7$$"+a&Q'4C!#7$"+Z%e2(=!"&7$$"+ah%QS#!#7$"+-(zC(=!"&7$$"+N:3)R#!#7$"+X8Kr=!"&7$$"+)\WBR#!#7$"*MRI(=!"%7$$"+X[j'Q#!#7$"+Tx(=(=!"&7$$"+"Q_4Q#!#7$"+FDft=!"&7$$"+7pHvB!#7$"+MxUs=!"&7$$"+Y#o'pB!#7$"+h$RT(=!"&7$$"+%>mSO#!#7$"+C9(H(=!"&7$$"+m0\eB!#7$"+R*zY(=!"&7$$"+w6%HN#!#7$"+1*3N(=!"&7$$"*%yTZB!#6$"+dV@v=!"&7$$"+v.#>M#!#7$"+v-/u=!"&7$$"+)f[kL#!#7$"+4Fuv=!"&7$$"+JB+JB!#7$"+Cccu=!"&7$$"+&R"eDB!#7$"+(3li(=!"&7$$"+:c=?B!#7$"+W]3v=!"&7$$"+:["[J#!#7$"*e"yw=!"%7$$"+A)o%4B!#7$"+D')fv=!"&7$$"+lu9/B!#7$"+yAHx=!"&7$$"+v0&))H#!#7$"+`k5w=!"&7$$"+#)zd$H#!#7$"+nszx=!"&7$$"+>&H$)G#!#7$"+;'3m(=!"&7$$"+B]5$G#!#7$"+KmHy=!"&7$$"+GV!zF#!#7$"+(>0r(=!"&7$$"+tsssA!#7$"+d/zy=!"&7$$"+'ptvE#!#7$"+zifx=!"&7$$"+RMWiA!#7$"+D)y#z=!"&7$$"+VjLdA!#7$"+W>3y=!"&7$$"+_AD_A!#7$"+9=wz=!"&7$$"+65>ZA!#7$"+rAcy=!"&7$$"+mC:UA!#7$"+1&R-)=!"&7$$"+lk8PA!#7$"+Rt.z=!"&7$$"+dG9KA!#7$"+x>r!)=!"&7$$"+#\rrA#!#7$"+Cs]z=!"&7$$"+AAAAA!#7$"+.$z6)=!"&7$$")\H<A!#5$"+.?(*z=!"&7$$"+"Q*Q7A!#7$"*cT;)=!"%7$$"+>b]2A!#7$"+\<V!)=!"&7$$"+sJk-A!#7$"*#))4#)=!"%7$$"+)>-y>#!#7$"+Ml)3)=!"&7$$"+cC)H>#!#7$"+c6b#)=!"&7$$"+2Q=)=#!#7$"+JkL")=!"&7$$"+9hS$=#!#7$"+Q')*H)=!"&7$$"+P#\'y@!#7$"*^"y")=!"%7$$"+VI"R<#!#7$"+P8W$)=!"&7$$"+(R(>p@!#7$"+R=A#)=!"&7$$"+k@]k@!#7$"*KzQ)=!"%7$$"+9s#)f@!#7$"+'[dE)=!"&7$$"+9C<b@!#7$"+aEJ%)=!"&7$$"+Mw`]@!#7$"+<&)3$)=!"&7$$"+ZF#f9#!#7$"+19u%)=!"&7$$"+BwKT@!#7$"+**\^$)=!"&7$$"+P@vO@!#7$"+Rc;&)=!"&7$$"+ih>K@!#7$"+%*p$R)=!"&7$$"+u&fw7#!#7$"+=ae&)=!"&7$$"+^A9B@!#7$"+lXN%)=!"&7$$"+oSk=@!#7$"+03+')=!"&7$$"+0\;9@!#7$"+wxw%)=!"&7$$"+TYq4@!#7$"+h=T')=!"&7$$"+eJE0@!#7$"+(ow^)=!"&7$$"+O.%35#!#7$"+Z'=o)=!"&7$$"+fgV'4#!#7$"+d8e&)=!"&7$$"+4-0#4#!#7$"+A7A()=!"&7$$"+sEo(3#!#7$"+W=)f)=!"&7$$"+LLL$3#!#7$"+V'>w)=!"&7$$"+z?+z?!#7$"+3#yj)=!"&7$$"+(z)ou?!#7$"+pR,))=!"&7$$"+vLRq?!#7$"+/0x')=!"&7$$"+-d6m?!#7$"+bUS))=!"&7$$"*nb=1#!#6$"+)yer)=!"&7$$"+pJhd?!#7$"+d0z))=!"&7$$"*4)Q`?!#6$"+:Ja()=!"&7$$"+G.=\?!#7$"+GH<*)=!"&7$$"+v(*)\/#!#7$"+RN#z)=!"&7$$"+Fj"3/#!#7$"+B9b*)=!"&7$$"+y)fm.#!#7$"+7,I))=!"&7$$"+D._K?!#7$"+$4E**)=!"&7$$"+mvRG?!#7$"+()Gn))=!"&7$$"+)\"HC?!#7$"+"*pH!*=!"&7$$"*----#!#6$"+9>/*)=!"&7$$"+K!Hh,#!#7$"+nTm!*=!"&7$$"+NC27?!#7$"+XsS*)=!"&7$$"+H@.3?!#7$"*nF5*=!"%7$$"+;!3S+#!#7$"+G*o(*)=!"&7$$""#!"$$"*b(Q"*=!"%7$$"+%)z+'*>!#7$"+7q7!*=!"&7$$"+s=.#*>!#7$"+cQu"*=!"&7$$"+r:2))>!#7$"+X:[!*=!"&7$$"+%)p7%)>!#7$"+Mm4#*=!"&7$$"*-)>!)>!#6$"+uD$3*=!"&7$$"+&e%Gw>!#7$"*$fW#*=!"%7$$"+)e'Qs>!#7$"+X,="*=!"&7$$"+PR]o>!#7$"+#z"z#*=!"&7$$"+Uljk>!#7$"+/V_"*=!"&7$$"+9Vyg>!#7$"+kU8$*=!"&7$$"+ir%p&>!#7$"+&4l=*=!"&7$$"(DJ&>!"*$"*RtM*=!"%7$$"+RxJ\>!#7$"+iD?#*=!"&7$$"+#HDb%>!#7$"+9#4Q*=!"&7$$"+tvuT>!#7$"+[n`#*=!"&7$$"+'\%)z$>!#7$"+y<9%*=!"&7$$"+xfBM>!#7$"+(pnG*=!"&7$$"*$>]I>!#6$"+E6Z%*=!"&7$$"+uAyE>!#7$"*X&>$*=!"%7$$"+Bp2B>!#7$"+)H(z%*=!"&7$$"+(z&Q>>!#7$"+Z+_$*=!"&7$$"+7)3d">!#7$"+O.7&*=!"&7$$"+*)e/7>!#7$"*`TQ*=!"%7$$"+ZpR3>!#7$"*GSa*=!"%7$$"+0>w/>!#7$"+R*fT*=!"&7$$"+%oS6!>!#7$"+orv&*=!"&7$$"+2K`(*=!#7$"+8`Z%*=!"&7$$"+%RRR*=!#7$"+T52'*=!"&7$$"+o"f.*=!#7$"*p(y%*=!"%7$$"+`Cz')=!#7$"+O>Q'*=!"&7$$"+r"RK)=!#7$"+3r4&*=!"&7$$"+[#*pz=!#7$"+"*)*o'*=!"&7$$"+3E<w=!#7$"+0OS&*=!"&7$$"+w"fE(=!#7$"+V\*p*=!"&7$$"+y)e"p=!#7$"+<sq&*=!"&7$$"+U;nl=!#7$"+HrH(*=!"&7$$"+$R(>i=!#7$"+#)z+'*=!"&7$$"+fgte=!#7$"+&['f(*=!"&7$$"*d(Gb=!#6$"+LfI'*=!"&7$$"+_=&=&=!#7$"+YI*y*=!"&7$$"+N)G%[=!#7$"+26g'*=!"&7$$"*X=]%=!#6$"+Yo=)*=!"&7$$"+E1iT=!#7$"+RN*o*=!"&7$$"+%HN#Q=!#7$"+@zZ)*=!"&7$$"+&Qi[$=!#7$"+hK=(*=!"&7$$"+K=]J=!#7$"+.jw)*=!"&7$$"+lN:G=!#7$"+2.Z(*=!"&7$$"+=v"[#=!#7$"+F?0**=!"&7$$"+DO\@=!#7$"+7Zv(*=!"&7$$"+=====!#7$"+C^L**=!"&7$$"+L?)["=!#7$"+1l.)*=!"&7$$"+.Uf6=!#7$"+Fch**=!"&7$$"+k#=$3=!#7$"+AdJ)*=!"&7$$"+_T00=!#7$"+oN*)**=!"&7$$"+-=!=!=!#7$"+#R#f)*=!"&7$$"+^6c)z"!#7$"+y*o,!>!"&7$$"+O@L&z"!#7$"+Yl'))*=!"&7$$"+&p9@z"!#7$"+()=W+>!"&7$$"+m(3*)y"!#7$"+9#Q"**=!"&7$$"+'G9dy"!#7$"+FBr+>!"&7$$"+%>JDy"!#7$"+GuS**=!"&7$$"+J%f$z<!#7$"+E.)4!>!"&7$$"+M*)>w<!#7$"+<Un**=!"&7$$"+X'\Ix"!#7$"+:fC,>!"&7$$"+/:"*p<!#7$"+4'Q***=!"&7$$"+_Wym<!#7$"+@"4:!>!"&7$$"*VoOw"!#6$"+L1?+>!"&7$$"*Qj0w"!#6$"+u*p<!>!"&7$$"+W#puv"!#7$"+>.Y+>!"&7$$"+lfQa<!#7$"+-&G?!>!"&7$$"+&[88v"!#7$"+#p<2!>!"&7$$"+[<D[<!#7$"+KZG->!"&7$$"+)p+_u"!#7$"+#ys4!>!"&7$$"+z-;U<!#7$"+#pQD!>!"&7$$"+N/8R<!#7$"+:cA,>!"&7$$"+666O<!#7$"+3/z->!"&7$$"+`A5L<!#7$"+<iZ,>!"&7$$"+1Q5I<!#7$"+2*RI!>!"&7$$"+<d6F<!#7$"+;Ys,>!"&7$$"+Jz8C<!#7$"+:sG.>!"&7$$"+'Rq6s"!#7$"+O3(>!>!"&7$$"+eI@=<!#7$"+dB`.>!"&7$$"+meE:<!#7$"+/\@->!"&7$$"+n(GBr"!#7$"*OvP!>!"%7$$"+4<S4<!#7$"+WoX->!"&7$$"+UY[1<!#7$"+Zi,/>!"&7$$"+8vd.<!#7$"+"o'p->!"&7$$"+s-o+<!#7$"+V]D/>!"&7$$"+pGz(p"!#7$"+RW$H!>!"&7$$"+a_"\p"!#7$"+t<\/>!"&7$$"+xt/#p"!#7$"+W,<.>!"&7$$"+*=*=*o"!#7$"+hks/>!"&7$$"+T1M'o"!#7$"+<QS.>!"&7$$"+%o,No"!#7$"+H"f\!>!"&7$$"+pAn!o"!#7$"+$[NO!>!"&7$$"+\B&yn"!#7$"+-)*=0>!"&7$$"+w=/v;!#7$"+k^'Q!>!"&7$$"+.3Cs;!#7$"+,&=a!>!"&7$$"+#3\%p;!#7$"+%)G4/>!"&7$$"+nmmm;!#7$"*DXc!>!"%7$$"+6N*Qm"!#7$"+k'=V!>!"&7$$"+o&H6m"!#7$"*2qe!>!"%7$$"+$zu$e;!#7$"+FDa/>!"&7$$"+R"Hcl"!#7$"+%)H41>!"&7$$"+iD*Gl"!#7$"+%\kZ!>!"&7$$"+;];];!#7$"+8SJ1>!"&7$$"+ekWZ;!#7$"+)e%)\!>!"&7$$"+UotW;!#7$"+yJ`1>!"&7$$"+Dh.U;!#7$"+FG?0>!"&7$$"+iUMR;!#7$"+,0v1>!"&7$$"+67mO;!#7$"+N#>a!>!"&7$$"+Gp)Rj"!#7$"+-g'p!>!"&7$$"*P@8j"!#6$"+JQj0>!"&7$$"+&\k'G;!#7$"+,(zr!>!"&7$$"*E;gi"!#6$"+Nm%e!>!"&7$$"+BmPB;!#7$"+=;R2>!"&7$$"+Vbu?;!#7$"+ow01>!"&7$$"+xH7=;!#7$"+u<g2>!"&7$$"+&))3bh"!#7$"+\pE1>!"&7$$"+EK!Hh"!#7$"+(=5y!>!"&7$$"+efI5;!#7$"+(\uk!>!"&7$$"+Uqr2;!#7$"+yo,3>!"&7$$"+Pk80;!#7$"+K.o1>!"&7$$"+.Tc-;!#7$"+k=A3>!"&7$$"#;!"%$"+sW)o!>!"&7$$"+*3Wuf"!#7$"+l^U3>!"&7$$"+Kj*[f"!#7$"+Op32>!"&7$$"+)ocBf"!#7$")oi3>!"$7$$"+>^#)*e"!#7$"+VxG2>!"&7$$"+(e,te"!#7$"+'yE)3>!"&7$$"+agy%e"!#7$"*"p[2>!"%7$$"+"[yAe"!#7$"+U^-4>!"&7$$"+J)y(z:!#7$"+cWo2>!"&7$$"+mqGx:!#7$"+%)=A4>!"&7$$"*:.[d"!#6$"+(R!)y!>!"&7$$"+WqKs:!#7$"+KqT4>!"&7$$"+8(e)p:!#7$"+_Z23>!"&7$$"+>")Rn:!#7$"+,1h4>!"&7$$"+F_%\c"!#7$"+QvE3>!"&7$$"&Dc"!"($"+4E!)4>!"&7$$"+-C1g:!#7$"+r(e%3>!"&7$$"+*RKwb"!#7$"+tI**4>!"&7$$"+`*4_b"!#7$"+n%['3>!"&7$$"+J]z_:!#7$"*,#=5>!"%7$$"+(f(Q]:!#7$"+Xm$)3>!"&7$$"+;w)za"!#7$"+N%p.">!"&7$$"+a]fX:!#7$"+>L-4>!"&7$$"+x)4Ka"!#7$"+k`b5>!"&7$$"+\?$3a"!#7$"+0&3#4>!"&7$$"+Q:YQ:!#7$"+:)R2">!"&7$$"*J)4O:!#6$"+@AR4>!"&7$$"+JBuL:!#7$"+-G#4">!"&7$$"+oNRJ:!#7$"+"[u&4>!"&7$$"+))>0H:!#7$"+TV56>!"&7$$"+dvrE:!#7$")`v4>!"$7$$"+W-RC:!#7$"+YWG6>!"&7$$"+:+2A:!#7$"+%pM*4>!"&7$$"+Rov>:!#7$"+MJY6>!"&7$$"+$o]u^"!#7$"+yE65>!"&7$$"+:::::!#7$"*US;">!"%7$$"+/$fG^"!#7$"+m#*G5>!"&7$$"+=Sd5:!#7$"+<j"=">!"&7$$"+EcH3:!#7$"+tWY5>!"&7$$"+'4Cg]"!#7$"*%3*>">!"%7$$"+)RfP]"!#7$"+9$Q1">!"&7$$"+-:],:!#7$"+/S;7>!"&7$$"+v.D*\"!#7$"+-3"3">!"&7$$"+))f+(\"!#7$"+BeL7>!"&7$$"+6$oZ\"!#7$"+`>)4">!"&7$$"+8t`#\"!#7$"+6j]7>!"&7$$"+mHJ!\"!#7$"+z<:6>!"&7$$"+Q_4)["!#7$"*[vE">!"%7$$"+,T)e["!#7$"+%H?8">!"&7$$"+D&zO["!#7$"+YL%G">!"&7$$"+"["["["!#7$"+7v[6>!"&7$$"+T**Gz9!#7$"+@*4I">!"&7$$"+u[5x9!#7$"+XMl6>!"&7$$"+ai#\Z"!#7$"*AvJ">!"%7$$"*0aFZ"!#6$"+4"==">!"&7$$"+N#)eq9!#7$"+`#RL">!"&7$$"+"yG%o9!#7$"+9:)>">!"&7$$"*mviY"!#6$"+O?]8>!"&7$$"+V)GTY"!#7$"+uO97>!"&7$$"+/$))>Y"!#7$"+zNm8>!"&7$$"+:S&)f9!#7$"+-YI7>!"&7$$"+[fsd9!#7$"+(*Q#Q">!"&7$$"+wSgb9!#7$"+6VY7>!"&7$$"+s$)[`9!#7$"+,I)R">!"&7$$"*")y8X"!#6$"+6Gi7>!"&7$$"+i`F\9!#7$"+.499>!"&7$$"+.!yrW"!#7$"+;,y7>!"&7$$"+0n3X9!#7$"+;wH9>!"&7$$"+V9+V9!#7$"+Qi$H">!"&7$$"*>A4W"!#6$"+_JX9>!"&7$$"+@*[)Q9!#7$"+)="48>!"&7$$"+4;yO9!#7$"+Avg9>!"&7$$"*B?ZV"!#6$"+z\C8>!"&7$$"+cZmK9!#7$"+Q2w9>!"&7$$"+l^hI9!#7$"+AwR8>!"&7$$"+H9dG9!#7$"+7G"\">!"&7$$"+CN`E9!#7$"+G"\N">!"&7$$"+C9]C9!#7$"+bP1:>!"&7$$"+2^ZA9!#7$"+3&*p8>!"&7$$"+XXX?9!#7$"+xN@:>!"&7$$"+;(R%=9!#7$"+u([Q">!"&7$$"+&fIkT"!#7$"+"Hi`">!"&7$$"+drU99!#7$"+Pp*R">!"&7$$"+z$HCT"!#7$"+3*4b">!"&7$$"+OsV59!#7$"+3S99>!"&7$$"+/2X39!#7$"+Pkl:>!"&7$$"+h(pkS"!#7$"+'***G9>!"&7$$"+#Q%\/9!#7$"**=!e">!"%7$$"+WX_-9!#7$"+9\V9>!"&7$$"+C-c+9!#7$"+xi%f">!"&7$$"+*R,')R"!#7$"+r(yX">!"&7$$"+X![mR"!#7$"+3'*3;>!"&7$$"+R,q%R"!#7$"+y:s9>!"&7$$"*mdFR"!#6$"+&*=B;>!"&7$$"+%e?3R"!#7$"+XL'[">!"&7$$"+*))))))Q"!#7$"+YJP;>!"&7$$"+_D'pQ"!#7$"+#3/]">!"&7$$"+^:/&Q"!#7$"+tL^;>!"&7$$"+ke7$Q"!#7$"+*zV^">!"&7$$"*Z:7Q"!#6$"+&e_m">!"&7$$"+X.Jz8!#7$"+1DG:>!"&7$$"+o/Tx8!#7$"+"z!z;>!"&7$$"+=e^v8!#7$"+7-U:>!"&7$$"+ujit8!#7$"+-!Gp">!"&7$$"+7@ur8!#7$"+Gpb:>!"&7$$"+9I')p8!#7$"+FU1<>!"&7$$"+c!*)zO"!#7$"+jEp:>!"&7$$"+>-7m8!#7$"+v%*><>!"&7$$"*[cUO"!#6$"+Eu#e">!"&7$$"*#yRi8!#6$"+dPL<>!"&7$$"+=Uag8!#7$"+E7'f">!"&7$$"+_cpe8!#7$"*3nu">!"%7$$"+.@&oN"!#7$"+tS4;>!"&7$$"*b8]N"!#6$"+b%*f<>!"&7$$"+t*zJN"!#7$"+wfA;>!"&7$$"+^8N^8!#7$"+*)3t<>!"&7$$"+lw_\8!#7$"+VpN;>!"&7$$"+&*)3xM"!#7$"+$Rhy">!"&7$$"*-&*eM"!#6$"+%)p[;>!"&7$$"+Ag3W8!#7$"+u4*z">!"&7$$"+z=GU8!#7$"+2hh;>!"&7$$"+uD[S8!#7$"+V'>"=>!"&7$$"+'3)oQ8!#7$"+@Vu;>!"&7$$"+'R)*oL"!#7$"+1uC=>!"&7$$"+&[8^L"!#7$"+L;(o">!"&7$$"+LLLL8!#7$"+tUP=>!"&7$$"+BzbJ8!#7$"+b!)*p">!"&7$$"+MsyH8!#7$"+^-]=>!"&7$$"+[7-G8!#7$"+#fBr">!"&7$$"+Z*fiK"!#7$"+^`i=>!"&7$$"+6L]C8!#7$"+`#[s">!"&7$$"+B8vA8!#7$"+y&\(=>!"&7$$"+jR+@8!#7$"+Z?P<>!"&7$$"+97E>8!#7$"+UH()=>!"&7$$"+dI_<8!#7$"+#)\\<>!"&7$$"+u%*y:8!#7$"+^a**=>!"&7$$"+Z/198!#7$"+lqh<>!"&7$$"+efL78!#7$"+7r6>>!"&7$$"**fh58!#6$"+0$Qx">!"&7$$"+C0!*38!#7$"+MzB>>!"&7$$"+U&*=28!#7$"+4(ey">!"&7$$"+HI[08!#7$"+CzN>>!"&7$$"+l4y.8!#7$"+%Gyz">!"&7$$"+LL3-8!#7$"+*3x%>>!"&7$$"+<,R+8!#7$"*/(4=>!"%7$$"+*H,()H"!#7$"+Paf>>!"&7$$"+ho,(H"!#7$"+#)\@=>!"&7$$"+)yO`H"!#7$"+wHr>>!"&7$$"+h5m$H"!#7$"+=@L=>!"&7$$"+k'*)>H"!#7$"+8(H)>>!"&7$$"+"eA.H"!#7$"+d%[%=>!"&7$$"+%zf')G"!#7$"+cc%*>>!"&7$$"+(G,qG"!#7$"+/Sc=>!"&7$$"+WqM&G"!#7$"+631?>!"&7$$"+Zqp$G"!#7$"+n(y'=>!"&7$$"+#G^?G"!#7$"+'=v,#>!"&7$$"+J(4/G"!#7$"+aFz=>!"&7$$"+zBxy7!#7$"+(y)G?>!"&7$$"+3#RrF"!#7$"*(f!*=>!"%7$$"+/-^v7!#7$"+A;S?>!"&7$$"*N&)QF"!#6$"+C%=!>>!"&7$$"+JYEs7!#7$"+)p80#>!"&7$$"*.[1F"!#6$"+B,8>>!"&7$$"+Lb.p7!#7$"+A]i?>!"&7$$"+BrUn7!#7$"+r5C>>!"&7$$"+&yAeE"!#7$"+*fN2#>!"&7$$"+.DAk7!#7$"+x7N>>!"&7$$"+jiii7!#7$"+Pa%3#>!"&7$$"+[S.h7!#7$"+[2Y>>!"&7$$"+WeWf7!#7$"+VX&4#>!"&7$$"+N;'yD"!#7$"*\p&>>!"%7$$"+29Gc7!#7$"+BH1@>!"&7$$"+W^qa7!#7$"+3vn>>!"&7$$"+KG8`7!#7$"+$eq6#>!"&7$$"+cWc^7!#7$"+4[y>>!"&7$$"$D"!"&$"+HvF@>!"&7$$"+^%R%[7!#7$"+-9*)>>!"&7$$"+$z#)oC"!#7$"+pPQ@>!"&7$$"+7+LX7!#7$"*H(**>>!"%7$$"+&4"yV7!#7$"+3$*[@>!"&7$$"+DgBU7!#7$"+zC5?>!"&7$$"+*y%pS7!#7$"+`Tf@>!"&7$$"+tt:R7!#7$"+yp??>!"&7$$"+iPiP7!#7$"+4$)p@>!"&7$$"+VR4O7!#7$"+#z5.#>!"&7$$"+,zcM7!#7$"+#y,=#>!"&7$$"+Bc/L7!#7$"+DRT?>!"&7$$"+%4F:B"!#7$"+zX!>#>!"&7$$")B,I7!#5$"+'Q;0#>!"&7$$"+G7]G7!#7$"+1n+A>!"&7$$"+lQ*pA"!#7$"+z"=1#>!"&7$$"+'>!\D7!#7$"+n"3@#>!"&7$$"+3-*RA"!#7$"*J>2#>!"%7$$"+))Q\A7!#7$"*(*3A#>!"%7$$"+@7+@7!#7$"+%y>3#>!"&7$$"+&>7&>7!#7$"+>"4B#>!"&7$$"+(zE!=7!#7$"+4'>4#>!"&7$$"+7]a;7!#7$"+@'3C#>!"&7$$"+Ho1:7!#7$"+)y=5#>!"&7$$"+LAf87!#7$"+"[2D#>!"&7$$"+77777!#7$"+Gt6@>!"&7$$"+`Pl57!#7$"+/dgA>!"&7$$"+V)*=47!#7$"+M_@@>!"&7$$"+p%Hx?"!#7$"+'H.F#>!"&7$$"+=EF17!#7$"+7DJ@>!"&7$$"+x#>[?"!#7$"+i-!G#>!"&7$$"+M%pL?"!#7$"+n"49#>!"&7$$"+xI#>?"!#7$"+3m*G#>!"&7$$"+#>![+7!#7$"+0_]@>!"&7$$"+n2/*>"!#7$"*M#*H#>!"%7$$"*z/w>"!#6$"*j+;#>!"%7$$"+\A<'>"!#7$"+hu3B>!"&7$$"*8VZ>"!#6$"+[ap@>!"&7$$"+AuJ$>"!#7$"+y>=B>!"&7$$"+8^*=>"!#7$"+k'*y@>!"&7$$"*>w/>"!#6$"+&*eFB>!"&7$$"+U11*="!#7$"+#G$)=#>!"&7$$"+c%[w="!#7$"+=#pL#>!"&7$$"*iRi="!#6$"+4j(>#>!"&7$$"+BT$[="!#7$"+^>YB>!"&7$$"+`>V$="!#7$"+\(o?#>!"&7$$"+(4L?="!#7$")TbB>!"$7$$"+Wvj!="!#7$"+21;A>!"&7$$"+$GX#z6!#7$"+pckB>!"&7$$"+-j&y<"!#7$"+))=DA>!"&7$$"+)eqk<"!#7$"+kmtB>!"&7$$"+K")3v6!#7$"+(fUB#>!"&7$$"*#*3P<"!#6$"+*3FQ#>!"&7$$"+VHLs6!#7$"+QFVA>!"&7$$"+(=g4<"!#7$"+\p"R#>!"&7$$"+V1fp6!#7$"+;B_A>!"&7$$"+*HC#o6!#7$"+[i+C>!"&7$$"+W6'o;"!#7$"+P8hA>!"&7$$"+m6]l6!#7$"+#*\4C>!"&7$$"+aV9k6!#7$"+/)*pA>!"&7$$"+)p!zi6!#7$"+%=$=C>!"&7$$"+'=S9;"!#7$"+AxyA>!"&7$$"+2G4g6!#7$"*$3FC>!"%7$$"+_&[(e6!#7$"+'4vG#>!"&7$$"+2uSd6!#7$"+MzNC>!"&7$$"+k$pg:"!#7$"*$>'H#>!"%7$$"+6Wta6!#7$")XWC>!"$7$$"+PDS`6!#7$"+H#[I#>!"&7$$"+LP2_6!#7$"+M0`C>!"&7$$"+')zu]6!#7$"+(*R8B>!"&7$$"+(GD%\6!#7$"+QghC>!"&7$$"+Ec5[6!#7$"+Q#>K#>!"&7$$"+"**)yY6!#7$"+=5qC>!"&7$$"+s`ZX6!#7$"+cRIB>!"&7$$"*wkT9"!#6$"+yayC>!"&7$$"+Vr&G9"!#7$"+d")QB>!"&7$$"+6DbT6!#7$"+A%p[#>!"&7$$"+b3DS6!#7$"+W=ZB>!"&7$$"+k@&*Q6!#7$"+aG&\#>!"&7$$"+GklP6!#7$"+@]bB>!"&7$$"+OOOO6!#7$"+yd.D>!"&7$$"*yt]8"!#6$"+$pPO#>!"&7$$"+[oyL6!#7$")#=^#>!"$7$$"+JG]K6!#7$"+k)>P#>!"&7$$"+><AJ6!#7$"+@,?D>!"&7$$"+.N%*H6!#7$"+P:!Q#>!"&7$$"+s"o'G6!#7$"+[:GD>!"&7$$"+;dRF6!#7$"+<F)Q#>!"&7$$"+Eh7E6!#7$"+$[i`#>!"&7$$"+$Rf[7"!#7$"+2M'R#>!"&7$$"+1bfB6!#7$"+JHWD>!"&7$$"+cWLA6!#7$"+7O/C>!"&7$$"+Li2@6!#7$"+&*G_D>!"&7$$"+H3#)>6!#7$"+OL7C>!"&7$$"+L#o&=6!#7$"*Q-c#>!"%7$$"+O%=t6"!#7$"+#e-U#>!"&7$$"+H92;6!#7$"+)Q"oD>!"&7$$"+-s#[6"!#7$"+`8GC>!"&7$$"+Yde86!#7$"+D*fd#>!"&7$$"+_qM76!#7$"+b'fV#>!"&7$$"+66666!#7$"+%*z$e#>!"&7$$"+8z()46!#7$"+"\PW#>!"&7$$"*XZ'36!#6$"+)f:f#>!"&7$$"+7(>u5"!#7$"+k[^C>!"&7$$"*p%>16!#6$"+UF*f#>!"&7$$"+wB(\5"!#7$"+y<fC>!"&7$$"+fFv.6!#7$"+G%pg#>!"&7$$"+Ke`-6!#7$"+O#oY#>!"&7$$"+'e@85"!#7$"+hc9E>!"&7$$"+6+6+6!#7$"+VUuC>!"&7$$"+*4,*)4"!#7$"+V9AE>!"&7$$"+T[p(4"!#7$"+-)>[#>!"&7$$"+G7\'4"!#7$"*y'HE>!"%7$$"+_-H&4"!#7$"+;\*[#>!"&7$$"+/>4%4"!#7$"+t;PE>!"&7$$"+vh*G4"!#7$"+)ep\#>!"&7$$"+dIq"4"!#7$"+FhWE>!"&7$$"+TD^!4"!#7$"+BQ/D>!"&7$$"+>YK*3"!#7$"+X,_E>!"&7$$"+#GR")3"!#7$"+Cw6D>!"&7$$"+Al&p3"!#7$"*t$fE>!"%7$$"*Lwd3"!#6$"+%*4>D>!"&7$$"+)p)f%3"!#7$"+')omE>!"&7$$"+>OU$3"!#7$"+ORED>!"&7$$"+#3^A3"!#7$"+;'Rn#>!"&7$$"+"3"3"3"!#7$"+akLD>!"&7$$"+2O"*z5!#7$"+C>"o#>!"&7$$"+_'[(y5!#7$"+^&3a#>!"&7$$"+2iex5!#7$"+7Q)o#>!"&7$$"+liUw5!#7$"+J-[D>!"&7$$"+<)o_2"!#7$"+%Gbp#>!"&7$$"+cQ6u5!#7$"+&\^b#>!"&7$$"+t8'H2"!#7$"+Vj-F>!"&7$$"+h8"=2"!#7$"+\BiD>!"&7$$"+7Qmq5!#7$"+$*p4F>!"&7$$"+<(=&p5!#7$"+%z#pD>!"&7$$"+ogPo5!#7$"+Os;F>!"&7$$"+feBn5!#7$"+NGwD>!"&7$$"+"3)4m5!#7$"+vqBF>!"&7$$"+EF'\1"!#7$"+tC$e#>!"&7$$"+(yHQ1"!#7$"+:lIF>!"&7$$"+c#*pi5!#7$"+9<!f#>!"&7$$"+D6dh5!#7$"+dbPF>!"&7$$"+(QX/1"!#7$"+e0(f#>!"&7$$"+M?Kf5!#7$"+/UWF>!"&7$$"+e5?e5!#7$"+4!Rg#>!"&7$$"+_C3d5!#7$"+hC^F>!"&7$$"+4i'f0"!#7$"*22h#>!"%7$$"+@B&[0"!#7$"+H.eF>!"&7$$"*ySP0"!#6$"+XZ<E>!"&7$$"+z:j_5!#7$"+7ykF>!"&7$$"+6Z_^5!#7$"+O?CE>!"&7$$"+o,U]5!#7$"+7\rF>!"&7$$"+VzJ\5!#7$"+Y*3j#>!"&7$$"+H!=#[5!#7$"+L;yF>!"&7$$"+>/7Z5!#7$"+yaPE>!"&7$$"+0^-Y5!#7$"+xz%y#>!"&7$$"+z?$\/"!#7$"+M;WE>!"&7$$"+O8%Q/"!#7$"+[R"z#>!"&7$$"+oGvU5!#7$"+=u]E>!"&7$$"+nmmT5!#7$"+Z&zz#>!"&7$$"+EFeS5!#7$"+LGdE>!"&7$$"*/,&R5!#6$"+yZ/G>!"&7$$"+*f@%Q5!#7$"+")yjE>!"&7$$"+)RWt."!#7$"+W'4"G>!"&7$$"*Vpi."!#6$"+kDqE>!"&7$$"+(o'>N5!#7$"+ZT<G>!"&7$$"+jh7M5!#7$"+()owE>!"&7$$"+^y0L5!#7$"*HQ#G>!"%7$$"+W<*>."!#7$"*&3$o#>!"%7$$"+Ny#4."!#7$"+v?IG>!"&7$$"+<h')H5!#7$"+eW*o#>!"&7$$"+%e1)G5!#7$"+1bOG>!"&7$$"+H#\x-"!#7$"+6x&p#>!"&7$$"+XSpE5!#7$"+&eG%G>!"&7$$"+E5kD5!#7$"+:1-F>!"&7$$"+k,fC5!#7$"+98\G>!"&7$$"+`9aB5!#7$"*<$3F>!"%7$$"+))[\A5!#7$"+'p`&G>!"&7$$"*Y]9-"!#6$"+z`9F>!"&7$$"+j"3/-"!#7$"+MdhG>!"&7$$"+#*zO>5!#7$"+Xs?F>!"&7$$"+R*H$=5!#7$"*Vx'G>!"%7$$"+)*RH<5!#7$"+r(os#>!"&7$$"+j,E;5!#7$"+(yQ(G>!"&7$$"+E%G_,"!#7$"+f*Ht#>!"&7$$"+$y)>95!#7$"+2)*zG>!"&7$$"+E7<85!#7$"+63RF>!"&7$$"+\d975!#7$"+#\g)G>!"&7$$"+YB765!#7$"*L^u#>!"%7$$"*,,,,"!#6$"+Y3#*G>!"&7$$"+O<345!#7$"+=:^F>!"&7$$"+;X135!#7$"*(3)*G>!"%7$$"+X$\q+"!#7$"+y8dF>!"&7$$"+<i.15!#7$"+n0/H>!"&7$$"+E^-05!#7$"+84jF>!"&7$$"+kg,/5!#7$"*%**4H>!"%7$$"+F!4I+"!#7$"+B,pF>!"&7$$"+3S+-5!#7$"***e"H>!"%7$$"+,5+,5!#7$"+7!\x#>!"&7$$"""!"$$"*s<#H>!"%7$$"***4+***!#7$"+$e2y#>!"&7$$"*#*R+)**!#7$"+KhFH>!"&7$$"+J(*3q**!#8$"+Pe'y#>!"&7$$"+j$f,'**!#8$"+HULH>!"&7$$"+c([-&**!#8$"+xP#z#>!"&7$$"+`yNS**!#8$"+8?RH>!"&7$$"+%f'[I**!#8$"+09)z#>!"&7$$"+@\j?**!#8$"+'[\%H>!"&7$$"+vF!3"**!#8$"+A(Q!G>!"&7$$"+*4!*4!**!#8$"*l1&H>!"%7$$"+No>"*)*!#8$"+Ld4G>!"&7$$"+DHU"))*!#8$"+3NcH>!"&7$$"+7$o;()*!#8$"+PC:G>!"&7$$"+RH$>')*!#8$"+h+iH>!"&7$$"+\n@_)*!#8$"+R)3#G>!"&7$$"+&o>D%)*!#8$"+7jnH>!"&7$$"+"pTG$)*!#8$"*%\EG>!"%7$$"+6F=B)*!#8$"+kAtH>!"&7$$"+*oUN")*!#8$"+U2KG>!"&7$$"+p:#R!)*!#8$"+<zyH>!"&7$$"+&H>Vz*!#8$"+ZiPG>!"&7$$"+7et%y*!#8$"+vK%)H>!"&7$$"+l5<v(*!#8$"+d9VG>!"&7$$"(Dcw*!#5$"+R$)*)H>!"&7$$"+hv4c(*!#8$"+vj[G>!"&7$$"+%p)eY(*!#8$"+7J&*H>!"&7$$"+X$)4P(*!#8$"+-5aG>!"&7$$"+fkiF(*!#8$"+&f2+$>!"&7$$"+$)H<=(*!#8$"+T`fG>!"&7$$"1*****R'yt3(*!#>$"+"zh+$>!"&7$$"+[5K*p*!#8$"+%R\'G>!"&7$$"+"[A**o*!#8$"+,d6I>!"&7$$"*6U0o*!#7$"+iJqG>!"&7$$"+%))z6n*!#8$"+G$p,$>!"&7$$"+\d$=m*!#8$"+[mvG>!"&7$$"+_'4Dl*!#8$"+tEAI>!"&7$$"+V:?V'*!#8$"+_)4)G>!"&7$$"+o8"Rj*!#8$"+RdFI>!"&7$$"+w!RYi*!#8$"+zF')G>!"&7$$"+:YQ:'*!#8$"+G&G.$>!"&7$$"+Nz91'*!#8$"*V:*G>!"%7$$"+$)*Gpf*!#8$"*/"QI>!"%7$$"+4xs(e*!#8$"+0y'*G>!"&7$$"+hSay&*!#8$"*GL/$>!"%7$$"**zPp&*!#7$"+3*>!H>!"&7$$"+Y%H-c*!#8$"+Z_[I>!"&7$$"+w$)4^&*!#8$"*ur!H>!"%7$$"+LZ)>a*!#8$"+Xp`I>!"&7$$"+l%))G`*!#8$"+.L7H>!"&7$$"+C&4Q_*!#8$"+v$)eI>!"&7$$"+fyu9&*!#8$"+*fu"H>!"&7$$"+AMq0&*!#8$"+Q&R1$>!"&7$$"+jhn'\*!#8$"*jD#H>!"%7$$"+Mgm([*!#8$"+P/pI>!"&7$$"+')Hny%*!#8$"+(Rw#H>!"&7$$"*(ppp%*!#7$"+u5uI>!"&7$$"+Qztg%*!#8$"+.pKH>!"&7$$"+Tez^%*!#8$"*X"zI>!"%7$$"+L1(GW*!#8$"+\rPH>!"&7$$"+kA'RV*!#8$"+n:%3$>!"&7$$"+)oq]U*!#8$"+PrUH>!"&7$$"+de>;%*!#8$"+E9*3$>!"&7$$"+BxL2%*!#8$"+ooZH>!"&7$$"+Ti\)R*!#8$"+J5%4$>!"&7$$"+i8n*Q*!#8$"+Yj_H>!"&7$$"+RI'3Q*!#8$"+#Q!*4$>!"&7$$"+G72s$*!#8$"*dv&H>!"%7$$"*)eHj$*!#7$"+"[R5$>!"&7$$"*&p`a$*!#7$"+WXiH>!"&7$$"+$R%zX$*!#8$"*L)3J>!"%7$$"+h"oqL*!#8$"+nKnH>!"&7$$"+4#e$G$*!#8$"*$p8J>!"%7$$"+#\k'>$*!#8$"+W<sH>!"&7$$"+lp)4J*!#8$"+$G&=J>!"&7$$"+"eDBI*!#8$"+v*p(H>!"&7$$"+(H!o$H*!#8$"+#RL7$>!"&7$$"+o50&G*!#8$"+hz")H>!"&7$$"+[yVw#*!#8$"+d7GJ>!"&7$$"+$fSyE*!#8$"+/d')H>!"&7$$"+f#f#f#*!#8$"*))G8$>!"%7$$"+-Qp]#*!#8$"+1K"*H>!"&7$$"+xT9U#*!#8$"+iiPJ>!"&7$$"+U.hL#*!#8$"*Zg*H>!"%7$$"+^A4D#*!#8$"+2MUJ>!"&7$$"+i)*e;#*!#8$"+&\2+$>!"&7$$"+JJ53#*!#8$"+9.ZJ>!"&7$$"+:?j*>*!#8$"+%Ga+$>!"&7$$"+rk<">*!#8$"+')p^J>!"&7$$"+bkt#=*!#8$"+Q35I>!"&7$$"+F>Ju"*!#8$"+CMcJ>!"&7$$"+TG!f;*!#8$"*;Z,$>!"%7$$"+e"4v:*!#8$"*j4;$>!"%7$$"+L38\"*!#8$"*D$>I>!"%7$$"+CywS"*!#8$"+0clJ>!"&7$$"+"4?C8*!#8$"*6R-$>!"%7$$"+"f(3C"*!#8$"+^8qJ>!"&7$$"+$Gqd6*!#8$"+TZGI>!"&7$$"+C"ou5*!#8$"+pouJ>!"&7$$"+u5=*4*!#8$"+Y,LI>!"&7$$"+"4444*!#8$"+h@zJ>!"&7$$"+M@l#3*!#8$"+D`PI>!"&7$$"+j,Tu!*!#8$"+Gs$=$>!"&7$$"+PJ=m!*!#8$"+"G?/$>!"&7$$"+95(z0*!#8$"+t?)=$>!"&7$$"1,++cPx\!*!#>$"+9]YI>!"&7$$"*K"fT!*!#7$"+&pE>$>!"&7$$"+oOUL!*!#8$"+E&40$>!"&7$$"+e2FD!*!#8$"+(4r>$>!"&7$$"+_D8<!*!#8$"+=QbI>!"&7$$"+4!4!4!*!#8$"+"G:?$>!"&7$$"1,++!4+4+*!#>$"+$*yfI>!"&7$$"+bd!G**)!#8$"+Z#f?$>!"&7$$"+mfs%)*)!#8$"*vT1$>!"%7$$"+#ogm(*)!#8$"+(*H5K>!"&7$$"+l)4'o*)!#8$"+$R&oI>!"&7$$"+xMdg*)!#8$"+Ll9K>!"&7$$"+x9b_*)!#8$"+A)G2$>!"&7$$"+GQaW*)!#8$"+c)*=K>!"&7$$"+#\]l$*)!#8$"+Q?xI>!"&7$$"+H9dG*)!#8$"+nHBK>!"&7$$"+,mg?*)!#8$"+W]"3$>!"&7$$"+rfl7*)!#8$"+neFK>!"&7$$"+,&>Z!*)!#8$"+Ry&3$>!"&7$$"+`rz'*))!#8$"+f&=B$>!"&7$$"+*)))))))))!#8$"+F/!4$>!"&7$$"+rY*4)))!#8$"+V5OK>!"&7$$"+jW6t))!#8$"+2G%4$>!"&7$$"+F#[_'))!#8$"*K.C$>!"%7$$"+EfRd))!#8$"+#)\)4$>!"&7$$"+Avb\))!#8$"+$RXC$>!"&7$$"*)HtT))!#7$"+_p-J>!"&7$$"+hA#R$))!#8$"+js[K>!"&7$$"+J`7E))!#8$"*so5$>!"%7$$"+_@M=))!#8$"+H*GD$>!"&7$$"1*****pos0"))!#>$"+'G56$>!"&7$$"+,p"G!))!#8$"+&RqD$>!"&7$$"+eZ2&z)!#8$"+_;:J>!"&7$$"+@iM(y)!#8$"+h;hK>!"&7$$"+b7jz()!#8$"+=G>J>!"&7$$"+D)H>x)!#8$"+HFlK>!"&7$$"+$*=Ck()!#8$"+(yL7$>!"&7$$"+Eucc()!#8$")OpK>!"$7$$"+(Q1*[()!#8$"+fXFJ>!"&7$$"+T(e7u)!#8$"+vUtK>!"&7$$"+aWiL()!#8$"+O^JJ>!"&7$$"*\.gs)!#7$"+bZxK>!"&7$$"+:eR=()!#8$"*_b8$>!"%7$$"+%R,3r)!#8$"+U]"G$>!"&7$$"+">?Kq)!#8$"*r&RJ>!"%7$$"+u@l&p)!#8$"+O^&G$>!"&7$$"+2t4)o)!#8$"+4dVJ>!"&7$$"+cbb!o)!#8$"*/&*G$>!"%7$$"+')o-t')!#8$"+<bZJ>!"&7$$"+l7^l')!#8$"+`Z$H$>!"&7$$"+e'3!e')!#8$"+O^^J>!"&7$$"+J!>0l)!#8$"+zU(H$>!"&7$$"+^B/V')!#8$"+oXbJ>!"&7$$"+%eybj)!#8$"+<O,L>!"&7$$"+'pF"G')!#8$"+7QfJ>!"&7$$"+b'*o?')!#8$"+pF0L>!"&7$$"+FWE8')!#8$"+rGjJ>!"&7$$"+z>&eg)!#8$"+N<4L>!"&7$$"+zAX)f)!#8$"+X<nJ>!"&7$$"+#Hl5f)!#8$"+>08L>!"&7$$"+()4p$e)!#8$"+P/rJ>!"&7$$"+J$Hjd)!#8$"+>"pJ$>!"&7$$"+"H!)*o&)!#8$"+Y*[<$>!"&7$$"+OQkh&)!#8$"+Qv?L>!"&7$$"+K*>Vb)!#8$"+vsyJ>!"&7$$"+Z&3qa)!#8$"+wdCL>!"&7$$"*l4(R&)!#7$"+Ba#=$>!"&7$$"+3KUK&)!#8$"+OQGL>!"&7$$"*>\^_)!#7$"+$Rj=$>!"&7$$"+kv)y^)!#8$"+<<KL>!"&7$$"+)HQ1^)!#8$"+&=,>$>!"&7$$"+h8S.&)!#8$"+@%fL$>!"&7$$"*swh\)!#7$"+,)Q>$>!"&7$$"+YV'*)[)!#8$"+\pRL>!"&7$$"+2Uw"[)!#8$"+Ui(>$>!"&7$$"+ridu%)!#8$"+.VVL>!"&7$$"+30Sn%)!#8$"+3N,K>!"&7$$"+()oBg%)!#8$"+#[rM$>!"&7$$"+w`3`%)!#8$"+,10K>!"&7$$"+Yf%fW)!#8$"*\3N$>!"%7$$"+l&=)Q%)!#8$"+Av3K>!"&7$$"+/KqJ%)!#8$"+D`aL>!"&7$$"+K)*fC%)!#8$"+sU7K>!"&7$$"+=%3vT)!#8$"**>eL>!"%7$$"+K*G/T)!#8$"+_3;K>!"&7$$"+X8O.%)!#8$"+&[=O$>!"&7$$"1,++EcI'R)!#>$"+js>K>!"&7$$"+X<E*Q)!#8$"+7[lL>!"&7$$"1,++t'HAQ)!#>$"+1NBK>!"&7$$"*Q4_P)!#7$"+s4pL>!"&7$$"+P3?o$)!#8$"+#epA$>!"&7$$"+8S?h$)!#8$"+lpsL>!"&7$$"+"))=UN)!#8$"+#\0B$>!"&7$$"1******3aCZ$)!#>$"+$ziP$>!"&7$$"*d$GS$)!#7$"+Q7MK>!"&7$$"+LLLL$)!#8$"+d%)zL>!"&7$$"+rYRE$)!#8$"+>oPK>!"&7$$"+avY>$)!#8$"+dR$Q$>!"&7$$"1,++`>b7$)!#>$"+QATK>!"&7$$"+Tyk0$)!#8$"+&HpQ$>!"&7$$"1*****p=b()H)!#>$"+&\ZC$>!"&7$$"+kR(=H)!#8$"+sW!R$>!"&7$$"1,++UT+&G)!#>$"+"f#[K>!"&7$$"+&pX"y#)!#8$"+)[RR$>!"&7$$"+%f)Hr#)!#8$"+Gv^K>!"&7$$"*"GYk#)!#7$"+XV(R$>!"&7$$"+:$QwD)!#8$"+0BbK>!"&7$$"1,++#3D3D)!#>$"+V!4S$>!"&7$$"+$3BSC)!#8$"+CpeK>!"&7$$"*HKsB)!#7$"+%eVS$>!"&7$$"+vEXI#)!#8$"+'Q@E$>!"&7$$"+6UoB#)!#8$"+pz2M>!"&7$$"1******oo#p@)!#>$"+$pbE$>!"&7$$"1,++C1=5#)!#>$"+)>7T$>!"&7$$"+ZaW.#)!#8$"+W)*oK>!"&7$$"+68s'>)!#8$"+si9M>!"&7$$"*>3+>)!#7$"+TQsK>!"&7$$"+cgI$=)!#8$"+$>!=M>!"&7$$"+")[hw")!#8$"+&odF$>!"&7$$"+TY$*p")!#8$"*'R@M>!"%7$$"+1`Ej")!#8$"+x8zK>!"&7$$"+_ogc")!#8$"+wvCM>!"&7$$"*Df*\")!#7$"+<\#G$>!"&7$$"+wCKV")!#8$"+T5GM>!"&7$$"+,lpO")!#8$"+2$eG$>!"&7$$"+,83I")!#8$"+cVJM>!"&7$$"1,++[oZB")!#>$"+Z:*G$>!"&7$$"1,++<J)o6)!#>$"+AvMM>!"&7$$"+"3+.6)!#8$"+QY#H$>!"&7$$"+:xs.")!#8$"*a!QM>!"%7$$"+#*f;(4)!#8$"+#edH$>!"&7$$"+()[h!4)!#8$"*T8W$>!"%7$$"+tV2%3)!#8$"+z.*H$>!"&7$$"+EWax!)!#8$"+MhWM>!"&7$$"*-D52)!#7$"+HI-L>!"&7$$"+Hh^k!)!#8$"+7(yW$>!"&7$$"1,++Gx,e!)!#>$"+Nb0L>!"&7$$"+"zH:0)!#8$"+X6^M>!"&7$$"1,++$H_]/)!#>$"+'*y3L>!"&7$$"+4_eQ!)!#8$"+NMaM>!"&7$$"+9&G@.)!#8$"+8,7L>!"&7$$"1,++$=#oD!)!#>$"+"evX$>!"&7$$"1,++">Y#>!)!#>$"+*=_J$>!"&7$$"+80#G,)!#8$"+&e2Y$>!"&7$$"1,++C^S1!)!#>$"+AT=L>!"&7$$"#!)!"&$"+[%RY$>!"&7$$"+;^g$*z!#8$"+9f@L>!"&7$$"+Z/A()z!#8$"*<rY$>!"%7$$"*(f%3)z!#7$"+mvCL>!"&7$$"+f;[uz!#8$"+`FqM>!"&7$$"1,++!\F"oz!#>$"+z!zK$>!"&7$$"1,++RMyhz!#>$"+(>MZ$>!"&7$$"+$[\a&z!#8$"+a/JL>!"&7$$"1,++'fD"\z!#>$"+-bwM>!"&7$$"+b<"G%z!#8$"*pTL$>!"%7$$"1,++Oz]Oz!#>$"+rmzM>!"&7$$"+;T@Iz!#8$"*zsL$>!"%7$$"+p-$R#z!#8$"+.x#[$>!"&7$$"+ujl<z!#8$"+aPSL>!"&7$$"1,++0CR6z!#>$"+*fe[$>!"&7$$"*MQ^!z!#7$"+$eMM$>!"&7$$"1,++bT*))*y!#>$"*O*)[$>!"%7$$"+E)fE*y!#8$"+x_YL>!"&7$$"+J`V')y!#8$"+()*>\$>!"&7$$"+Y1A!)y!#8$"+Pe\L>!"&7$$"+[d,uy!#8$"+"[]\$>!"&7$$"1,++91#y'y!#>$"+ki_L>!"&7$$"*AN;'y!#7$"+V3)\$>!"&7$$"+W&fa&y!#8$"+flbL>!"&7$$"+kNH\y!#8$"+t5,N>!"&7$$"1*****\DPJ%y!#>$"+CneL>!"&7$$"+'f!*p$y!#8$"+r6/N>!"&7$$"+jN&3$y!#8$"+cnhL>!"&7$$"+NhsCy!#8$"*9r]$>!"%7$$"1,++)G3'=y!#>$"*mYO$>!"%7$$"&D"y!")$"+y45N>!"&7$$"+\7S1y!#8$"+MknL>!"&7$$"1,++7?J+y!#>$"+)oI^$>!"&7$$"+oAB%z(!#8$"*31P$>!"%7$$"1,++%*>;)y(!#>$"+r-;N>!"&7$$"+n65#y(!#8$"+)fNP$>!"&7$$"1,++n(\gx(!#>$"+D(*=N>!"&7$$"1,++qx+qx!#>$"+*)\wL>!"&7$$"+b^(Rw(!#8$"+a!>_$>!"&7$$"+,>&zv(!#8$"+bUzL>!"&7$$"+%)z$>v(!#8$"+c#[_$>!"&7$$"+&QLfu(!#8$"+&RBQ$>!"&7$$"*3Q*Rx!#7$"+LtFN>!"&7$$"+\?&Rt(!#8$"+4C&Q$>!"&7$$"*Fvzs(!#7$"+'G1`$>!"&7$$"+Ax+Ax!#8$")8)Q$>!"$7$$"1*****HQ\gr(!#>$"+;^LN>!"&7$$"+J-55x!#8$"+n+"R$>!"&7$$"+Z-;/x!#8$"+AQON>!"&7$$"+2%H#)p(!#8$"+7(QR$>!"&7$$"+#p2Bp(!#8$"+1CRN>!"&7$$"+"3&R'o(!#8$"+Ns'R$>!"&7$$"1*****4b"\!o(!#>$"+o3UN>!"&7$$"+%3(fuw!#8$"+Pc*R$>!"&7$$"+c;row!#8$"*@\a$>!"%7$$"+\_$Gm(!#8$"+=R-M>!"&7$$"1*****4%y'pl(!#>$"+JuZN>!"&7$$"1,++6%46l(!#>$"*3_S$>!"%7$$"+R*f_k(!#8$"+Lb]N>!"&7$$"+/%>%Rw!#8$"+A,3M>!"&7$$"+'y(eLw!#8$"+;N`N>!"&7$$"1,++l]wFw!#>$"+X!3T$>!"&7$$"*A^>i(!#7$"*Qhb$>!"%7$$"*BYhh(!#7$"+^e8M>!"&7$$"+w+N5w!#8$"+G"*eN>!"&7$$"+QFc/w!#8$"*ajT$>!"%7$$"+&>%y)f(!#8$"+enhN>!"&7$$"+FW,$f(!#8$"+76>M>!"&7$$"1,++9MD(e(!#>$"+sUkN>!"&7$$"+P6]"e(!#8$"+n&=U$>!"&7$$"+wvvvv!#8$"+r;nN>!"&7$$"*rA+d(!#7$"+3fCM>!"&7$$"1,++?lHkv!#>$"+a*)pN>!"&7$$"+()*y&ev!#8$"+NJFM>!"&7$$"1*****44qGb(!#>$"+ChsN>!"&7$$"+6)pra(!#8$"+Z-IM>!"&7$$"1******H"y9a(!#>$"+zJvN>!"&7$$"+E]zNv!#8$"+YsKM>!"&7$$"1*****>[?,`(!#>$"+A,yN>!"&7$$"+xWXCv!#8$"+LTNM>!"&7$$"+#*pz=v!#8$"+`p!e$>!"&7$$"1,++4![J^(!#>$"+24QM>!"&7$$"+3v]2v!#8$"+rO$e$>!"&7$$"+pa(=](!#8$"+pvSM>!"&7$$"+u=D'\(!#8$"+z-'e$>!"&7$$"+/nj!\(!#8$"+ATVM>!"&7$$"*%*H][(!#7$"+wn)e$>!"&7$$"+j:Vzu!#8$"+k0YM>!"&7$$"1,++b:%QZ(!#>$"+jJ"f$>!"&7$$"+&*)f#ou!#8$"+'*o[M>!"&7$$"+nloiu!#8$"+T%Rf$>!"&7$$"1,++^:7du!#>$"+>J^M>!"&7$$"+H[c^u!#8$"*hlf$>!"%7$$"+"Q;gW(!#8$"+M#RX$>!"&7$$"*>w/W(!#7$"+r;*f$>!"&7$$"+QU%\V(!#8$"+T_cM>!"&7$$"+00UHu!#8$"+Dw,O>!"&7$$"+u\!RU(!#8$"+T6fM>!"&7$$"1,++EwR=u!#>$"+rM/O>!"&7$$"1*****HW)*GT(!#>$"+MphM>!"&7$$"+2uS2u!#8$"+7#pg$>!"&7$$")X#>S(!#6$"+AEkM>!"&7$$"+/(\kR(!#8$"+Y[4O>!"&7$$"1,++,I)4R(!#>$"+/#oY$>!"&7$$"+sV_&Q(!#8$"+w.7O>!"&7$$"+,Q2!Q(!#8$"+"o$pM>!"&7$$"+o7jut!#8$"+,e9O>!"&7$$"+en>pt!#8$"+a!>Z$>!"&7$$"*DqPO(!#7$"+A6<O>!"&7$$"+H<Net!#8$"+AVuM>!"&7$$"+w6%HN(!#8$"+Rj>O>!"&7$$"+v&QvM(!#8$"+)[pZ$>!"&7$$"+1R9Ut!#8$"+a9AO>!"&7$$"+`rvOt!#8$"+^XzM>!"&7$$"1,++*Hy8L(!#>$"+mkCO>!"&7$$"+Et+Et!#8$"+8&>[$>!"&7$$"1*****p@W1K(!#>$"+x8FO>!"&7$$"+a*)G:t!#8$"+tV%[$>!"&7$$"*_T*4t!#7$"+'='HO>!"&7$$"1,++**=g/t!#>$"+J"p[$>!"&7$$"+t+F*H(!#8$"+&*3KO>!"&7$$"1*****\-YRH(!#>$"*z$*[$>!"%7$$"+Q(H')G(!#8$"+.bMO>!"&7$$"+%>@LG(!#8$"+\$=\$>!"&7$$"1*****zP?!ys!#>$"+7+PO>!"&7$$"+tssss!#8$"+3G%\$>!"&7$$"*'=Wns!#7$"+AWRO>!"&7$$"+DT;is!#8$"+or'\$>!"&7$$"+\S*oD(!#8$"+M(=k$>!"&7$$"+<;j^s!#8$"*V"*\$>!"%7$$"+7oPYs!#8$"+ZHWO>!"&7$$"+;'H6C(!#8$"+&f:]$>!"&7$$"1,++9+*eB(!#>$"+jqYO>!"&7$$"**zlIs!#7$"+i'R]$>!"&7$$"+ENVDs!#8$"+#3"\O>!"&7$$"+1m@?s!#8$"+LO1N>!"&7$$"1,++:s+:s!#>$"+0]^O>!"&7$$"+N`!)4s!#8$"+2v3N>!"&7$$"1,++^4h/s!#>$"+K)Ql$>!"&7$$"+YSU*>(!#8$"+'G6^$>!"&7$$"+/YC%>(!#8$"+jDcO>!"&7$$"*hs!*=(!#7$"*(\8N>!"%7$$"1,++Y!3R=(!#>$")ieO>!"$7$$"+(*3vyr!#8$"*ce^$>!"%7$$"+[6gtr!#8$"+U(4m$>!"&7$$"1,++"ye%or!#>$"+b?=N>!"&7$$"+#yBL;(!#8$"*>Lm$>!"%7$$"1,++Nh>er!#>$"+ca?N>!"&7$$"+Be2`r!#8$"+XllO>!"&7$$"+JG'z9(!#8$"+l(G_$>!"&7$$"1,++Vr&G9(!#>$"+2)zm$>!"&7$$"1*****Ruex8(!#>$"*)>DN>!"%7$$"+=wmKr!#8$"+xHqO>!"&7$$"+\PeFr!#8$"+/^FN>!"&7$$"+Ar]Ar!#8$"+bgsO>!"&7$$"+AxV<r!#8$"+N")HN>!"&7$$"+LbP7r!#8$"+T!\n$>!"&7$$"1******R0K2r!#>$"+w5KN>!"&7$$"1,++FFF-r!#>$"+P>xO>!"&7$$"1******y?B(4(!#>$"+ERMN>!"&7$$"1,++#e)>#4(!#>$"+UZzO>!"&7$$"+=A<(3(!#8$"+(om`$>!"&7$$"+uH:#3(!#8$"+du"o$>!"&7$$"+N39xq!#8$"+d$*QN>!"&7$$"+&yN@2(!#8$"+#3So$>!"&7$$"+4y8nq!#8$"+P>TN>!"&7$$"+$*o9iq!#8$"+>E'o$>!"&7$$"*-jr0(!#7$"*VMa$>!"%7$$"+yh=_q!#8$"+n])o$>!"&7$$"*N;s/(!#7$"+MoXN>!"&7$$"+@NDUq!#8$"+Fu!p$>!"&7$$"+ywHPq!#8$"+\"za$>!"&7$$"+/)[B.(!#8$"+*pHp$>!"&7$$"+()oSFq!#8$"+y8]N>!"&7$$"*">ZAq!#7$"+%)=&p$>!"&7$$"1******fQa<q!#>$"*_Bb$>!"%7$$"+@Fi7q!#8$"+$)R(p$>!"&7$$"1,++z%3x+(!#>$"+vbaN>!"&7$$"1******>6!G+(!#>$"+&*f*p$>!"&7$$"*j+z*p!#7$"+WvcN>!"&7$$"+$*p+$*p!#8$"+Az,P>!"&7$$"+'>?"))p!#8$"+F%*eN>!"&7$$"+B-C$)p!#8$"+j(Rq$>!"&7$$"+iqOyp!#8$"+E7hN>!"&7$$"+(p+N(p!#8$"+=:1P>!"&7$$"1*****\6T'op!#>$"+RHjN>!"&7$$"+,$)yjp!#8$"*>$3P>!"%7$$"+TA%*ep!#8$"+pXlN>!"&7$$"+@H5ap!#8$"+yZ5P>!"&7$$"+F.F\p!#8$"+9hnN>!"&7$$"+WWWWp!#8$"+"GEr$>!"&7$$"1,++g_iRp!#>$"+wvpN>!"&7$$"*w7[$p!#7$"+-x9P>!"&7$$"1,++Ip+Ip!#>$"+c*=d$>!"&7$$"+cx?Dp!#8$"*/pr$>!"%7$$"1,++D_T?p!#>$"+_-uN>!"&7$$"1,++A$Hc"p!#>$"+'H!>P>!"&7$$"+N+&3"p!#8$"+n9wN>!"&7$$"+[t21p!#8$"*Z6s$>!"%7$$"+\7J,p!#8$"+*f#yN>!"&7$$"+C<b'*o!#8$"+iDBP>!"&7$$"1******e()z"*o!#>$"+^O!e$>!"&7$$"1,++UB0()o!#>$"+tNDP>!"&7$$"+dCJ#)o!#8$"+AY#e$>!"&7$$"+#4zv(o!#8$"+.XFP>!"&7$$"+MA&G(o!#8$"+7b%e$>!"&7$$"+o=8oo!#8$"+a`HP>!"&7$$"+#)zTjo!#8$"+Aj'e$>!"&7$$"+i0reo!#8$"+ChJP>!"&7$$"+'f4S&o!#8$"+`q)e$>!"&7$$"+o]J\o!#8$"+:oLP>!"&7$$"+opiWo!#8$"+/x!f$>!"&7$$"*GX*Ro!#7$"+FuNP>!"&7$$"+$**p_$o!#8$"+w#Gf$>!"&7$$"+$4,1$o!#8$"+hzPP>!"&7$$"+n&Qf#o!#8$"+r([f$>!"&7$$"1*****4S#G@o!#>$"+;%)RP>!"&7$$"1,++%eKm"o!#>$"+(=pf$>!"&7$$"+,"*)>"o!#8$"+$z=u$>!"&7$$"*%>N2o!#7$"+D&*)f$>!"&7$$"+)3@F!o!#8$"+$4Ru$>!"&7$$"+Ll4)z'!#8$"+'y4g$>!"&7$$"+h#yMz'!#8$"+;$fu$>!"&7$$"1,++fi'))y'!#>$"+r*Hg$>!"&7$$"1,++;0E%y'!#>$"+i%zu$>!"&7$$"+<5mzn!#8$"+z+0O>!"&7$$"+^x1vn!#8$"+K&*\P>!"&7$$"+/2[qn!#8$"+6,2O>!"&7$$"+l)**ew'!#8$"+F&>v$>!"&7$$"1******>_Khn!#>$"+n+4O>!"&7$$"+dnvcn!#8$"+X%Rv$>!"&7$$"+jW>_n!#8$"+[*4h$>!"&7$$"+F$Qwu'!#8$"+)Gfv$>!"&7$$"+M$)3Vn!#8$"+a(Hh$>!"&7$$"1,++uWaQn!#>$"+e!zv$>!"&7$$"+Mn+Mn!#8$"+'[\h$>!"&7$$"+,^ZHn!#8$"+_()fP>!"&7$$"+j&\\s'!#8$"+V"ph$>!"&7$$"+3,V?n!#8$"+s$=w$>!"&7$$"+Bn"fr'!#8$"+E()=O>!"&7$$"+'R49r'!#8$"+>zjP>!"&7$$"1,++:"3pq'!#>$"+O#3i$>!"&7$$"+pGT-n!#8$"+$Rdw$>!"&7$$"+WO#zp'!#8$"+uwAO>!"&7$$"+G/W$p'!#8$"+$zww$>!"&7$$"+6K'*)o'!#8$"+QqCO>!"&7$$"+z>\%o'!#8$"+AhpP>!"&7$$"*sE+o'!#7$"*Lmi$>!"%7$$"+Bucvm!#8$"+y`rP>!"&7$$"+wS6rm!#8$"*b&GO>!"%7$$"+nmmmm!#8$"+iXtP>!"&7$$"+$=DAm'!#8$"+)p/j$>!"&7$$"+9'*ydm!#8$"+vOvP>!"&7$$"1,++Z*fLl'!#>$"+vPKO>!"&7$$"*<O*[m!#7$"+<FxP>!"&7$$"+s#=Xk'!#8$"+"yUj$>!"&7$$"+Ui5Sm!#8$"+(o"zP>!"&7$$"+m+qNm!#8$"+=<OO>!"&7$$"+N(*HJm!#8$"+)e5y$>!"&7$$"+N_!pi'!#8$"+$e!QO>!"&7$$"1,++cl^Am!#>$"+>%Hy$>!"&7$$"+'oL"=m!#8$"+z$*RO>!"&7$$"+9mv8m!#8$"*=[y$>!"%7$$"+F`Q4m!#8$"+0"=k$>!"&7$$"+:)>]g'!#8$"+ro'y$>!"&7$$"+m+m+m!#8$"+hnVO>!"&7$$"+pgI'f'!#8$"+%\&)y$>!"&7$$"+6y&>f'!#8$"+\`XO>!"&7$$"+$G:we'!#8$"+[S!z$>!"&7$$"+t%yKe'!#8$"+pQZO>!"&7$$"+ot%*yl!#8$"+LD#z$>!"&7$$"+f>iul!#8$"*K#\O>!"%7$$"+MAIql!#8$"+^4%z$>!"&7$$"1,++"=))fc'!#>$"+/2^O>!"&7$$"*zz;c'!#7$"+,$fz$>!"&7$$"+\qPdl!#8$"*-Hl$>!"%7$$"+[*zIb'!#8$"+$exz$>!"&7$$"+u%)y[l!#8$"+psaO>!"&7$$"1,++=E]Wl!#>$"+*z&*z$>!"&7$$"+oBASl!#8$"+^acO>!"&7$$"+7x%f`'!#8$"+[R,Q>!"&7$$"+T'y;`'!#8$"+nNeO>!"&7$$"+W^TFl!#8$"*.K!Q>!"%7$$"+3s:Bl!#8$"+;;gO>!"&7$$"+C[!*=l!#8$"+Z+0Q>!"&7$$"*)zl9l!#7$")'>m$>!"$7$$"+nmT5l!#8$"+)*z1Q>!"&7$$"+s3=1l!#8$"+=vjO>!"&7$$"+&e]>]'!#8$"+$)e3Q>!"&7$$"+'zDx\'!#8$"+r`lO>!"&7$$"1,++%\1N\'!#>$"+/P5Q>!"&7$$"+nEH*['!#8$"+fJnO>!"&7$$"+1V3&['!#8$"+f97Q>!"&7$$")9)3['!#6$"+#)3pO>!"&7$$"+QRowk!#8$"+^"R"Q>!"&7$$"+4>\sk!#8$"+T&3n$>!"&7$$"+/`Iok!#8$"+yn:Q>!"&7$$"+6T7kk!#8$"+OhsO>!"&7$$"*K[*fk!#7$"+TV<Q>!"&7$$"+@zxbk!#8$"+nOuO>!"&7$$"+.Hh^k!#8$"+T=>Q>!"&7$$"+cKXZk!#8$"+O6wO>!"&7$$"+p*)HVk!#8$"+x#4#Q>!"&7$$"1,++K+:Rk!#>$"+T&yn$>!"&7$$"+Nk+Nk!#8$"+^mAQ>!"&7$$"+n"o3V'!#8$"+$)ezO>!"&7$$"+=_tEk!#8$"+iRCQ>!"&7$$"+zvgAk!#8$"+jJ"o$>!"&7$$"+P_[=k!#8$"+67EQ>!"&7$$"+&=oVT'!#8$"*QIo$>!"%7$$"*Tc-T'!#7$"+)Ry#Q>!"&7$$"+/*\hS'!#8$"+Ov%o$>!"&7$$"+c'[?S'!#8$"+BbHQ>!"&7$$"+bE&zR'!#8$"+JY'o$>!"&7$$"+$*='QR'!#8$"+(e7$Q>!"&7$$"+ejx*Q'!#8$"+j;)o$>!"&7$$"+Tgp&Q'!#8$"+*eH$Q>!"&7$$"1,++K4i"Q'!#>$"+N')*o$>!"&7$$"1,++?5bxj!#>$"+JlMQ>!"&7$$"1,++(H'[tj!#>$"+Zb"p$>!"&7$$"+_nUpj!#8$"+7MOQ>!"&7$$"+uBPlj!#8$"+)RKp$>!"&7$$"+bJKhj!#8$"+L-QQ>!"&7$$"+&3zsN'!#8$"+*=\p$>!"&7$$"+_,C`j!#8$"+%*pRQ>!"&7$$"+\j?\j!#8$"*#f'p$>!"%7$$"+lw<Xj!#8$"+'p8%Q>!"&7$$"*4a6M'!#7$"+"f#)p$>!"&7$$"+:c8Pj!#8$"+Q.VQ>!"&7$$"+HA7Lj!#8$"+/#**p$>!"&7$$"+CR6Hj!#8$"+@pWQ>!"&7$$"+*o5^K'!#8$"+dd,P>!"&7$$"+;D6@j!#8$"+XMYQ>!"&7$$"+%R>rJ'!#8$"+_A.P>!"&7$$"+8888j!#8$"*"*z%Q>!"%7$$"+l#["4j!#8$"+*o[q$>!"&7$$"*Cq^I'!#7$"+=j\Q>!"&7$$"+Fs>,j!#8$"+n]1P>!"&7$$"+>#HsH'!#8$"+nE^Q>!"&7$$"+0iE$H'!#8$"+(Q"3P>!"&7$$"1,++w"3$*G'!#>$"+f*G&Q>!"&7$$"+B^N&G'!#8$"*l(4P>!"%7$$"+NqS"G'!#8$"+$>X&Q>!"&7$$"+0RYxi!#8$"+bQ6P>!"&7$$"+@d_ti!#8$"+p8cQ>!"&7$$"+wCfpi!#8$"+.+8P>!"&7$$"*;kcE'!#7$"*\x&Q>!"%7$$"+k2uhi!#8$"+&4Yr$>!"&7$$"1,++yA#yD'!#>$"+`NfQ>!"&7$$"+$p3RD'!#8$"*8ir$>!"%7$$"$D'!"'$"*c4'Q>!"%7$$"1,++!>'4Yi!#>$"+4"yr$>!"&7$$"+`s>Ui!#8$"+6biQ>!"&7$$"+#=.$Qi!#8$"+KS>P>!"&7$$"+lRTMi!#8$"+19kQ>!"&7$$"+&fH0B'!#8$"+**)4s$>!"&7$$"+i+lEi!#8$"+YslQ>!"&7$$"+e`xAi!#8$"*rDs$>!"%7$$"+ta!*=i!#8$"*.t'Q>!"%7$$"+)RS]@'!#8$"+n9CP>!"&7$$"+C,=6i!#8$"+f()oQ>!"&7$$"1,++VYK2i!#>$"+prDP>!"&7$$"+XRZ.i!#8$"+LWqQ>!"&7$$"+A!G'*>'!#8$"+:GFP>!"&7$$"+loy&>'!#8$"+`+sQ>!"&7$$"1,++k/&>>'!#>$"+3%)GP>!"&7$$"+7)=")='!#8$"+=ctQ>!"&7$$"+**=H%='!#8$"+YRIP>!"&7$$"+;(p/='!#8$"+H6vQ>!"&7$$"+aAlwh!#8$"*V>t$>!"%7$$"+1&RG<'!#8$"+'em(Q>!"&7$$"+i9.ph!#8$"+h[LP>!"&7$$"+8"G_;'!#8$"+"*>yQ>!"&7$$"+_%H9;'!#8$"+Q-NP>!"&7$$"+oajdh!#8$"+TtzQ>!"&7$$"+ah%Q:'!#8$"+ibOP>!"&7$$"+,:1]h!#8$"+RE")Q>!"&7$$"):GYh!#6$"+L3QP>!"&7$$"+Uh]Uh!#8$"+$)y#)Q>!"&7$$"*UN(Qh!#7$"+^gRP>!"&7$$"+D$p\8'!#8$"+vI%)Q>!"&7$$"+[y?Jh!#8$"+<7TP>!"&7$$"*)4XFh!#7$"+:#e)Q>!"&7$$"+9()pBh!#8$"+JjUP>!"&7$$"*/^*>h!#7$"+.L()Q>!"&7$$"+^z?;h!#8$"+$RTu$>!"&7$$"+Q%pC6'!#8$"+R$)))Q>!"&7$$"+#\N(3h!#8$"+-kXP>!"&7$$"+0h+0h!#8$"+BL!*Q>!"&7$$"+p7G,h!#8$"+h8ZP>!"&7$$"1,++w4c(4'!#>$"+c#=*Q>!"&7$$"+;_%Q4'!#8$"+oi[P>!"&7$$"+$)R8!4'!#8$"+QJ$*Q>!"&7$$"+nsU'3'!#8$"+C6]P>!"&7$$"+h]s#3'!#8$"+pz%*Q>!"&7$$"+ct-zg!#8$"+Hf^P>!"&7$$"1,++VTLvg!#>$"+[F'*Q>!"&7$$"+;akrg!#8$"+%oIv$>!"&7$$"+l6'z1'!#8$"+yu(*Q>!"&7$$"+$Q"Gkg!#8$"+*QXv$>!"&7$$"+hgggg!#8$"+e@**Q>!"&7$$"+">Np0'!#8$"+V+cP>!"&7$$"+l(oK0'!#8$"+(y1!R>!"&7$$"1,++wng\g!#>$"+ZYdP>!"&7$$"+9#\f/'!#8$"+n8-R>!"&7$$"+sgHUg!#8$"+-#*eP>!"&7$$"+VtkQg!#8$"+(*e.R>!"&7$$"+=I+Ng!#8$"+2PgP>!"&7$$"+)3j8.'!#8$"+y.0R>!"&7$$"+ZvsFg!#8$"+k"=w$>!"&7$$"1,++'Q'4Cg!#>$"+4[1R>!"&7$$"+(fp/-'!#8$"+rDjP>!"&7$$"+sr%o,'!#8$"+#>z!R>!"&7$$"+/"HK,'!#8$"+HpkP>!"&7$$"+&Q:'4g!#8$"+EN4R>!"&7$$"+1g+1g!#8$"+R7mP>!"&7$$"*'4S-g!#7$"+7y5R>!"&7$$"*C+))*f!#7$"+,bnP>!"&7$$"+PQ?&*f!#8$"+\?7R>!"&7$$"+W<h"*f!#8$"+9(*oP>!"&7$$"+_R-))f!#8$"+Ri8R>!"&7$$"+b/W%)f!#8$"+zQqP>!"&7$$"+W7'3)f!#8$"*Q]"R>!"%7$$"+7jGxf!#8$"+(*zrP>!"&7$$"+^crtf!#8$"+vW;R>!"&7$$"+a#\,(f!#8$"+o?tP>!"&7$$"1,++7remf!#>$"+A&y"R>!"&7$$"1,++>#HI'f!#>$"+"4Yx$>!"&7$$"+mbZff!#8$"+@D>R>!"&7$$"+Zh#f&f!#8$"+m+wP>!"&7$$"+_4Q_f!#8$"+uk?R>!"&7$$"+w*R)[f!#8$"+'*RxP>!"&7$$"*@.`%f!#7$"*Q?#R>!"%7$$"+[1xTf!#8$"+zyyP>!"&7$$"*GU#Qf!#7$"+RUBR>!"&7$$"+,"=Z$f!#8$"+:<!y$>!"&7$$"+-")>Jf!#8$"+`![#R>!"&7$$"1,++wAoFf!#>$"+0b"y$>!"&7$$"+;1<Cf!#8$"*#=ER>!"%7$$"+9Jm?f!#8$"+\#Hy$>!"&7$$"+j(fr"f!#8$"+TbFR>!"&7$$"+c0m8f!#8$"+ZH%y$>!"&7$$"+&[l,"f!#8$"+;#*GR>!"&7$$"+UXn1f!#8$")m&y$>!"$7$$"+@x=.f!#8$"+YGIR>!"&7$$"+:]q**e!#8$"+2-(y$>!"&7$$"+:kA'*e!#8$"+JkJR>!"&7$$"+:>v#*e!#8$"+pP)y$>!"&7$$"+3:G*)e!#8$"*(*H$R>!"%7$$"+&=:e)e!#8$"+'G(*y$>!"&7$$"+THN#)e!#8$"+lMMR>!"&7$$"+oZ*)ye!#8$"+e2"z$>!"&7$$"+e1Wve!#8$"+:pNR>!"&7$$"+01*>(e!#8$"+'=Cz$>!"&7$$"+,Yaoe!#8$"+@.PR>!"&7$$"+RE5le!#8$"+pv$z$>!"&7$$"1,++8Zmhe!#>$"+#o$QR>!"&7$$"+93Bee!#8$"+44&z$>!"&7$$"+P4![&e!#8$"+**pRR>!"&7$$"+t]P^e!#8$"+/U'z$>!"&7$$"+;K&z%e!#8$"+s-TR>!"&7$$"+f``We!#8$"+bu(z$>!"&7$$"+&\@6%e!#8$"+-NUR>!"&7$$"+<;rPe!#8$"+j1*z$>!"&7$$"+=dIMe!#8$"+)oO%R>!"&7$$"*z.4$e!#7$"+FQ+Q>!"&7$$"+Ge]Fe!#8$"+J)\%R>!"&7$$"+B=6Ce!#8$"+[p,Q>!"&7$$"+p<s?e!#8$"*$HYR>!"%7$$"*mNt"e!#7$"+E+.Q>!"&7$$"+)[`R"e!#8$"+()fZR>!"&7$$"+Z_d5e!#8$"+hI/Q>!"&7$$"+H4?2e!#8$"(*[R>!"#7$$"+G0$Q!e!#8$"+ag0Q>!"&7$$"+PSY+e!#8$"+s>]R>!"&7$$"+\95(z&!#8$"+/!p!Q>!"&7$$"+eFu$z&!#8$"+,\^R>!"&7$$"+czQ!z&!#8$"+6>3Q>!"&7$$"+Pq.(y&!#8$"+(yF&R>!"&7$$"+%***o$y&!#8$"+xZ4Q>!"&7$$"+@oM!y&!#8$"+K1aR>!"&7$$"*^2qx&!#7$")w5Q>!"$7$$"+b?ntd!#8$"+MMbR>!"&7$$"*XS.x&!#7$"+#Q?"Q>!"&7$$"+(o7qw&!#8$"+'>m&R>!"&7$$"+h()ojd!#8$"+AJ8Q>!"&7$$"+k'o.w&!#8$"+:*y&R>!"&7$$"+*Q_qv&!#8$"+@e9Q>!"&7$$"+J*RPv&!#8$"+%f"fR>!"&7$$"+#GJ/v&!#8$"+z%e"Q>!"&7$$"+Pk7Zd!#8$"+JUgR>!"&7$$"1,++)QDQu&!#>$"+'4r"Q>!"&7$$"+H"G0u&!#8$"+FohR>!"&7$$"1,++`YBPd!#>$"+rO=Q>!"&7$$"+a\%Rt&!#8$"+#QH'R>!"&7$$"+E!f1t&!#8$"+2i>Q>!"&7$$"+hoPFd!#8$"+)*=kR>!"&7$$"1,++a%)4Cd!#>$"+,(3#Q>!"&7$$"+*zB3s&!#8$"+sVlR>!"&7$$"1,++()Gb<d!#>$"+b6AQ>!"&7$$"+9dG9d!#8$"+1omR>!"&7$$"+tA-6d!#8$"+pNBQ>!"&7$$"1,++dDw2d!#>$")#z'R>!"$7$$"*c1Xq&!#7$"+WfCQ>!"&7$$"+wUD,d!#8$"+b:pR>!"&7$$"+)p0!)p&!#8$"+y#e#Q>!"&7$$"1,++?3w%p&!#>$"+pQqR>!"&7$$"+O'>:p&!#8$"+s0FQ>!"&7$$"+R@G)o&!#8$"+WhrR>!"&7$$"+B$[]o&!#8$"+GGGQ>!"&7$$"+#===o&!#8$"*QG(R>!"%7$$"+4<fyc!#8$"+W]HQ>!"&7$$"+**)o`n&!#8$"+w0uR>!"&7$$"+X(\@n&!#8$"*A2$Q>!"%7$$"*CM*oc!#7$"+MFvR>!"&7$$"*QAdm&!#7$"+e$>$Q>!"&7$$"+cT^ic!#8$"+_[wR>!"&7$$"1,++k&4$fc!#>$"+d9LQ>!"&7$$"+(f3hl&!#8$"+KpxR>!"&7$$"+\7"Hl&!#8$"+=NMQ>!"&7$$"+9vr\c!#8$"+t*)yR>!"&7$$"1,++'QFlk&!#>$"+RbNQ>!"&7$$"+e3MVc!#8$"+w4!)R>!"&7$$"+Cz:Sc!#8$"+BvOQ>!"&7$$"+z&ypj&!#8$"*%H")R>!"%7$$"+<G!Qj&!#8$"+o%z$Q>!"&7$$"+J1jIc!#8$"+n[#)R>!"&7$$"+:?YFc!#8$"+w8RQ>!"&7$$"+jpHCc!#8$"+cn$)R>!"&7$$"+pa8@c!#8$"+YKSQ>!"&7$$"+Gv(zh&!#8$"+1'[)R>!"&7$$"+LJ#[h&!#8$"+y]TQ>!"&7$$"+yAn6c!#8$"*Ug)R>!"%7$$"+e\_3c!#8$"+soUQ>!"&7$$"+m6Q0c!#8$"+&>s)R>!"&7$$"+'*3C-c!#8$"*jQ%Q>!"%7$$"+VT5*f&!#8$"+MR))R>!"&7$$"+,4(ff&!#8$"+\.XQ>!"&7$$"+j6%Gf&!#8$"+Oc*)R>!"&7$$"+D\r*e&!#8$"+K?YQ>!"&7$$"+z@f'e&!#8$")t!*R>!"$7$$"*#HZ$e&!#7$"+yOZQ>!"&7$$"+VrN!e&!#8$"+G*=*R>!"&7$$"+T[Cxb!#8$"+(G&[Q>!"&7$$"+4g8ub!#8$"+>0$*R>!"&7$$"+T1.rb!#8$"*'o\Q>!"%7$$"+J(Gzc&!#8$"+t?%*R>!"&7$$"+t-$[c&!#8$"+(R3&Q>!"&7$$"+h_thb!#8$"+#f`*R>!"&7$$"+"pV'eb!#8$"+(*)>&Q>!"&7$$"+cbbbb!#8$"+u]'*R>!"&7$$"*&3Z_b!#7$"+h8`Q>!"&7$$"+n&*Q\b!#8$"*_w*R>!"%7$$"+.<JYb!#8$"+*yU&Q>!"&7$$"+^sBVb!#8$"*$z)*R>!"%7$$"+0i;Sb!#8$"+"=a&Q>!"&7$$"*c)4Pb!#7$"+/$***R>!"&7$$"+6V.Mb!#8$"+QbcQ>!"&7$$"+^M(4`&!#8$"+V1,S>!"&7$$"+wf"z_&!#8$"+eodQ>!"&7$$"+y='[_&!#8$"+Z>-S>!"&7$$"+a6"=_&!#8$"+W")eQ>!"&7$$"+(zj(=b!#8$"+:K.S>!"&7$$"+,)>d^&!#8$"+&R*fQ>!"&7$$"+i"zE^&!#8$"+[W/S>!"&7$$"+t=k4b!#8$"*h5'Q>!"%7$$"*$zg1b!#7$"+Yc0S>!"&7$$"+Dtd.b!#8$"+"z@'Q>!"&7$$"+b+b+b!#8$"+4o1S>!"&7$$"+8h_(\&!#8$"+OHjQ>!"&7$$"+%\0X\&!#8$"+Qz2S>!"&7$$"+$>)["\&!#8$"+[SkQ>!"&7$$"+/UZ)[&!#8$"+J!*3S>!"&7$$"+ANY&[&!#8$"+C^lQ>!"&7$$"*9cC[&!#7$"+"4+,%>!"&7$$"+b?Xza!#8$"+mhmQ>!"&7$$"*E^kZ&!#7$"+;66S>!"&7$$"+\PXta!#8$"+urnQ>!"&7$$"+>&f/Z&!#8$"+2@7S>!"&7$$"+i&ouY&!#8$"+\")oQ>!"&7$$"1*****R(3[ka!#>$"+kI8S>!"&7$$"*X'\ha!#7$"+*3*pQ>!"&7$$"1*****RG:&ea!#>$"+()R9S>!"&7$$"*PPbX&!#7$"+&**4(Q>!"&7$$"+/Fc_a!#8$"+x[:S>!"&7$$"+"G"f\a!#8$"+o3sQ>!"&7$$"+%4BmW&!#8$"+Ld;S>!"&7$$"+Q"eOW&!#8$"+2<tQ>!"&7$$"+4kpSa!#8$"+bl<S>!"&7$$"+,ztPa!#8$"+8DuQ>!"&7$$"+4EyMa!#8$"+Xt=S>!"&7$$"+F0$=V&!#8$"+&G`(Q>!"&7$$"*l"))Ga!#7$"+,")>S>!"&7$$"+uf$fU&!#8$"+DSwQ>!"&7$$"+#\$*HU&!#8$"+C)3-%>!"&7$$"1,++,U0?a!#>$"+JZxQ>!"&7$$"+$4=rT&!#8$"+9&>-%>!"&7$$"+l^=9a!#8$"+0ayQ>!"&7$$"+6aD6a!#8$"+r,BS>!"&7$$"+E)G$3a!#8$"+YgzQ>!"&7$$"+0aS0a!#8$"+'zS-%>!"&7$$"1,++V^[-a!#>$"+am!)Q>!"&7$$"+N!o&*R&!#8$"+)Q^-%>!"&7$$"+uSl'R&!#8$"*B<)Q>!"%7$$"1,++eKu$R&!#>$"+[>ES>!"&7$$"*eN3R&!#7$"+ux#)Q>!"&7$$"+M5$zQ&!#8$"+wCFS>!"&7$$"+='H]Q&!#8$"+'GQ)Q>!"&7$$"+C88#Q&!#8$"+rHGS>!"&7$$"+[hBz`!#8$"+l([)Q>!"&7$$"+'3WjP&!#8$"+NMHS>!"&7$$"+K^Xt`!#8$"+8#f)Q>!"&7$$"*Gp0P&!#7$"+nQIS>!"&7$$"+Flon`!#8$"+H'p)Q>!"&7$$"+no![O&!#8$"+nUJS>!"&7$$"+&HI>O&!#8$"+8+))Q>!"&7$$"+1o0f`!#8$"+NYKS>!"&7$$"+&R'=c`!#8$"+m.*)Q>!"&7$$"+e!>LN&!#8$"+t\LS>!"&7$$"+*ya/N&!#8$"+(o+*Q>!"&7$$"+$e$fZ`!#8$"+y_MS>!"&7$$"+OatW`!#8$"+x4"*Q>!"&7$$"+U.)=M&!#8$"+`bNS>!"&7$$"1,++(HG!R`!#>$"+O7#*Q>!"&7$$"+'HzhL&!#8$"+'zl.%>!"&7$$"+LLLL`!#8$"+k9$*Q>!"&7$$"+0/\I`!#8$"+4gPS>!"&7$$"+10lF`!#8$"+h;%*Q>!"&7$$"+KO"[K&!#8$"+">'QS>!"&7$$"+w(z>K&!#8$"+F=&*Q>!"&7$$"+O*[">`!#8$"+TjRS>!"&7$$"1,++16K;`!#>$"+j>'*Q>!"&7$$"+"G'\8`!#8$"+ikSS>!"&7$$"+cWn5`!#8$"+o?(*Q>!"&7$$"+Ec&yI&!#8$"+_lTS>!"&7$$"+)yR]I&!#8$"+V@)*Q>!"&7$$"+NpA-`!#8$"+7mUS>!"&7$$"+kqT*H&!#8$"+(=#**Q>!"&7$$"+p,h'H&!#8$"+TmVS>!"&7$$"+Zi!QH&!#8$"+-A+R>!"&7$$"+"H05H&!#8$"*kY/%>!"%7$$"+)H2#)G&!#8$"+'=7!R>!"&7$$"+iAT&G&!#8$"*hc/%>!"%7$$"*=?EG&!#7$"+T@-R>!"&7$$"+X5$)z_!#8$"+\lYS>!"&7$$"1*****\&[/x_!#>$"+l?.R>!"&7$$"+.;Eu_!#8$"+fkZS>!"&7$$"+'G"[r_!#8$"*'>/R>!"%7$$"+**Qqo_!#8$"*M'[S>!"%7$$"+P%HfE&!#8$"+E=0R>!"&7$$"+&*y:j_!#8$"*>'\S>!"%7$$"+p#*Qg_!#8$"+h;1R>!"&7$$"1*****RbBwD&!#>$"+7g]S>!"&7$$"+Y2'[D&!#8$"+o92R>!"&7$$"*%35__!#7$"+/e^S>!"&7$$"+KQM\_!#8$"+Y73R>!"&7$$"+<(*eY_!#8$"+nb_S>!"&7$$"*\QQC&!#7$"+%*44R>!"&7$$"+Z,4T_!#8$"+,``S>!"&7$$"1,++$oW$Q_!#>$"+825R>!"&7$$"+%4-cB&!#8$"+1]aS>!"&7$$"+wB'GB&!#8$"+//6R>!"&7$$"+Bb7I_!#8$"+#oa0%>!"&7$$"+K:RF_!#8$"+m+7R>!"&7$$"+(RgYA&!#8$"*Lk0%>!"%7$$"+:@$>A&!#8$"+*pH"R>!"&7$$"+"o1#>_!#8$"+\RdS>!"&7$$"*4%[;_!#7$"+/$R"R>!"&7$$"+QVw8_!#8$"+RNeS>!"&7$$"+@u/6_!#8$"*))["R>!"%7$$"+LLL3_!#8$"+,JfS>!"&7$$"+s?i0_!#8$"+G%e"R>!"&7$$"+KO"H?&!#8$"+NEgS>!"&7$$"+3!3-?&!#8$"+[z;R>!"&7$$"+)>0v>&!#8$"+T@hS>!"&7$$"+&>0[>&!#8$"*Wx"R>!"%7$$"+'*z5#>&!#8$"+>;iS>!"&7$$"+'f8%*=&!#8$"+.p=R>!"&7$$"+#*>s'=&!#8$"+p5jS>!"&7$$"+yJ.%=&!#8$"+Rj>R>!"&7$$"*:Z8=&!#7$"+"\S1%>!"&7$$"+0Rmy^!#8$"+[d?R>!"&7$$"+PM)f<&!#8$"+'))\1%>!"&7$$"+UdIt^!#8$"+G^@R>!"&7$$"+<3jq^!#8$"+_#f1%>!"&7$$"+c'ez;&!#8$"+#[C#R>!"&7$$"+c#*Gl^!#8$"+#fo1%>!"&7$$"+7Eii^!#8$"+2QBR>!"&7$$"*se*f^!#7$"+/znS>!"&7$$"+wvHd^!#8$"+0JCR>!"&7$$"+v"RY:&!#8$"+*=(oS>!"&7$$"1*****R^$)>:&!#>$"+xBDR>!"&7$$"+(eI$\^!#8$"+YkpS>!"&7$$"+"R!oY^!#8$"+@;ER>!"&7$$"+AH.W^!#8$"+xcqS>!"&7$$"+v")QT^!#8$"+Q3FR>!"&7$$"+YhuQ^!#8$"+")[rS>!"&7$$"+Jo5O^!#8$"+G+GR>!"&7$$"+E-ZL^!#8$"+eSsS>!"&7$$"1,++Ej$38&!#>$"+#>*GR>!"&7$$"+G^?G^!#8$"+3KtS>!"&7$$"+FmdD^!#8$"+H$)HR>!"&7$$"*#3&H7&!#7$"+JBuS>!"&7$$"+,xK?^!#8$"+QuIR>!"&7$$"+nsq<^!#8$"+G9vS>!"&7$$"1*****R^*3:^!#>$"+AlJR>!"&7$$"+QWZ7^!#8$"+*\g2%>!"&7$$"+M?')4^!#8$"*eD$R>!"%7$$"1,++)H_s5&!#>$"+V&p2%>!"&7$$"+F_k/^!#8$"+6YLR>!"&7$$"+;3/-^!#8$"+h&y2%>!"&7$$"+i!R%*4&!#8$"+;OMR>!"&7$$"+f*Ro4&!#8$"+`vyS>!"&7$$"+0NC%4&!#8$"+&f_$R>!"&7$$"+%p\;4&!#8$"+>lzS>!"&7$$"+C&e!*3&!#8$"+[:OR>!"&7$$"***pk3&!#7$"+fa!3%>!"&7$$"+(3%)Q3&!#8$"+v/PR>!"&7$$"+83I"3&!#8$"+tV"3%>!"&7$$"+j,sy]!#8$"+w$z$R>!"&7$$"+K@9w]!#8$"+iK#3%>!"&7$$"+<nct]!#8$"+_#)QR>!"&7$$"+:R*42&!#8$"+D@$3%>!"&7$$"*sB%o]!#7$"+-rRR>!"&7$$"*8ce1&!#7$"+i4%3%>!"&7$$"+R6Hj]!#8$"+FfSR>!"&7$$"+X(G21&!#8$"+u(\3%>!"&7$$"+V*o"e]!#8$"+EZTR>!"&7$$"+H<hb]!#8$"+h&e3%>!"&7$$")r0`]!#6$")NUR>!"$7$$"*0000&!#7$"+At'3%>!"&7$$"+yb&z/&!#8$"+\AVR>!"&7$$"+y'3a/&!#8$"+fg(3%>!"&7$$"+ZV'G/&!#8$"+t4WR>!"&7$$"+"eA./&!#8$"*x%)3%>!"%7$$"+vLyP]!#8$"+r'\%R>!"&7$$"+FnCN]!#8$"+cM*3%>!"&7$$"+KErK]!#8$"+X$e%R>!"&7$$"+(3"=I]!#8$"+=@!4%>!"&7$$"+'3_w-&!#8$"+%*pYR>!"&7$$"1,++Gc7D]!#>$"+b2"4%>!"&7$$"+3<gA]!#8$"+>cZR>!"&7$$"+@.3?]!#8$"+n$>4%>!"&7$$"+l9c<]!#8$"+>U[R>!"&7$$"+N^/:]!#8$"+az#4%>!"&7$$"+G8`7]!#8$"+%z#\R>!"&7$$"1******R+-5]!#>$"+=l$4%>!"&7$$"+n7^2]!#8$"+X8]R>!"&7$$"+0]+0]!#8$"+c]%4%>!"&7$$"+^7]-]!#8$"+r)4&R>!"&7$$"#]!"&$"+rN&4%>!"&7$$"+\7](*\!#8$"+u$=&R>!"&7$$"+&*\+&*\!#8$"+h?'4%>!"&7$$"+L7^#*\!#8$"+_o_R>!"&7$$"*'*>+*\!#7$"+F0(4%>!"&7$$"+s6`()\!#8$"+1``R>!"&7$$"+l[/&)\!#8$"*(*y4%>!"%7$$"+O5c#)\!#8$"+OPaR>!"&7$$"+"oz+)\!#8$"+)Q()4%>!"&7$$"+'z+w(\!#8$"+V@bR>!"&7$$"+yV7v\!#8$"+#y&*4%>!"&7$$"+B/ls\!#8$"+D0cR>!"&7$$"+E*y,(\!#8$"+`T+T>!"&7$$"+'))4x'\!#8$"+%))o&R>!"&7$$"+(HV_'\!#8$")D,T>!"$7$$"1*****f:zF'\!#>$"+>sdR>!"&7$$"*Y<.'\!#7$"+C3-T>!"&7$$"+0#ey&\!#8$"+JbeR>!"&7$$"+)Q,a&\!#8$"+C"H5%>!"&7$$"+.q%H&\!#8$"+>QfR>!"&7$$"1******\]\]\!#>$")u.T>!"$7$$"+Ab/[\!#8$"+%3-'R>!"&7$$"+<%)fX\!#8$"+ac/T>!"&7$$"+KP:V\!#8$"+E.hR>!"&7$$"+i9rS\!#8$"+%)Q0T>!"&7$$"+0;FQ\!#8$"+W&='R>!"&7$$"+cT$e$\!#8$"+"4i5%>!"&7$$"+7"*RL\!#8$"*uE'R>!"%7$$"+pk'4$\!#8$"+v-2T>!"&7$$"+Di`G\!#8$"+8\jR>!"&7$$"+u$3h#\!#8$"+O%y5%>!"&7$$"+:HoB\!#8$"+iIkR>!"&7$$"+V)f7#\!#8$"+vl3T>!"&7$$"+a"R)=\!#8$"+*=^'R>!"&7$$"+Y3U;\!#8$"*p%4T>!"%7$$"+9\+9\!#8$"+$Hf'R>!"&7$$"+c8f6\!#8$"+$y-6%>!"&7$$"+n,=4\!#8$"+vtmR>!"&7$$"+W8x1\!#8$"+`36T>!"&7$$"+&)[O/\!#8$"+ManR>!"&7$$"+%yg>!\!#8$"+,*=6%>!"&7$$"*/f&**[!#7$"*Z$oR>!"%7$$"+Z'fr*[!#8$"+Ep7T>!"&7$$"+/Ew%*[!#8$"+%["pR>!"&7$$"+1zO#*[!#8$"+H\8T>!"&7$$"*bv**)[!#7$"+w%*pR>!"&7$$"1*****H`&e()[!#>$"*"H9T>!"%7$$"+^y>&)[!#8$"+XuqR>!"&7$$")D"G)[!#6$"+o3:T>!"&7$$"+y%H/)[!#8$"+$R:(R>!"&7$$"*y[!y[!#7$"+0)e6%>!"&7$$"+0/nv[!#8$"+=LsR>!"&7$$"+ZVHt[!#8$"+>n;T>!"&7$$"+/1#4([!#8$"+A7tR>!"&7$$"+s"\&o[!#8$"+7Y<T>!"&7$$"2(******[+=m[!#?$"+."R(R>!"&7$$"*B8Q'[!#7$"+#[#=T>!"&7$$"+7([9'[!#8$"+jpuR>!"&7$$"2.++?\'3f[!#?$"+J.>T>!"&7$$"+mlsc[!#8$")[vR>!"$7$$"2(*****>$*oV&[!#?$"+e")>T>!"&7$$"+'e8?&[!#8$"+<EwR>!"&7$$"+C0m\[!#8$"+jf?T>!"&7$$"+V(4t%[!#8$"+7/xR>!"&7$$"*Ch\%[!#7$"+ZP@T>!"&7$$"+7]hU[!#8$"+&=y(R>!"&7$$"+b5FS[!#8$"*^@7%>!"%7$$"+m$Hz$[!#8$"+PfyR>!"&7$$"+U**eN[!#8$"+^#H7%>!"&7$$"+zFDL[!#8$"+nOzR>!"&7$$"+uy"4$[!#8$"+rpBT>!"&7$$"+D_eG[!#8$"+w8!)R>!"&7$$"+E[DE[!#8$"+pYCT>!"&7$$"+wm#R#[!#8$"+k!4)R>!"&7$$"2.++5x+;#[!#?$"+ZBDT>!"&7$$"+3rF>[!#8$"+Jn")R>!"&7$$"+%obp"[!#8$"+.+ET>!"&7$$"+&\OY"[!#8$"+xV#)R>!"&7$$"+Q&>B"[!#8$"+RwET>!"&7$$"*"[+5[!#7$"+,?$)R>!"&7$$"+3Bp2[!#8$"+`_FT>!"&7$$"+G?Q0[!#8$"+1'R)R>!"&7$$"+nR2.[!#8$"+ZGGT>!"&7$$"+B"o2![!#8$"+*=Z)R>!"&7$$"+"\k%)z%!#8$"+>/HT>!"&7$$"*2jhz%!#7$"+^Z&)R>!"&7$$"+aQ'Qz%!#8$"+szHT>!"&7$$"+Uoc"z%!#8$"+$Hi)R>!"&7$$"+J?F*y%!#8$"+.bIT>!"&7$$"+;%zpy%!#8$"+9)p)R>!"&7$$"+&**)o%y%!#8$"+9IJT>!"&7$$"+l2S#y%!#8$"+:t()R>!"&7$$"+BZ6!y%!#8$"+00KT>!"&7$$"+l3$yx%!#8$"+&z%))R>!"&7$$"+)=\bx%!#8$"+vzKT>!"&7$$"*ppKx%!#7$"+bA*)R>!"&7$$"+mB*4x%!#8$"+DaLT>!"&7$$"+:sroZ!#8$"+&p**)R>!"&7$$"+LUWmZ!#8$"+bGMT>!"&7$$"+;M<kZ!#8$"+9r!*R>!"&7$$"+iZ!>w%!#8$"+k-NT>!"&7$$"+n#Q'fZ!#8$"+9X"*R>!"&7$$"*$RPdZ!#7$"+`wNT>!"&7$$"2.++]u6^v%!#?$"+$*=#*R>!"&7$$"+6<&Gv%!#8$"+B]OT>!"&7$$"+CQf]Z!#8$"+`#H*R>!"&7$$"+#3Q$[Z!#8$"+sBPT>!"&7$$"*[%3YZ!#7$"+#fO*R>!"&7$$"+<I$Qu%!#8$"+-(z8%>!"&7$$"+*o$eTZ!#8$"+7R%*R>!"&7$$"+$\O$RZ!#8$"+7qQT>!"&7$$"+E94PZ!#8$"+67&*R>!"&7$$"+&[[[t%!#8$"+-VRT>!"&7$$"+nwgKZ!#8$"+"\e*R>!"&7$$"+p*o.t%!#8$"+s:ST>!"&7$$"+)QK"GZ!#8$"+_d'*R>!"&7$$"+@z*es%!#8$"+B)39%>!"&7$$"+kbmBZ!#8$"+$*H(*R>!"&7$$"+;`V@Z!#8$"+agTT>!"&7$$"+tr?>Z!#8$"+:-)*R>!"&7$$"+K6)pr%!#8$"+mKUT>!"&7$$"*>dZr%!#7$"+;u)*R>!"&7$$"+W``7Z!#8$"+e/VT>!"&7$$"+"f:.r%!#8$"+*f%**R>!"&7$$"+Gz43Z!#8$"+JwVT>!"&7$$"+`B)eq%!#8$"+j<+S>!"&7$$"+i)oOq%!#8$"+&yW9%>!"&7$$"+_uX,Z!#8$"+2*3+%>!"&7$$"*7[#*p%!#7$"*#>XT>!"%7$$"+k3/(p%!#8$"+Kg,S>!"&7$$"+"oN[p%!#8$"+N!f9%>!"&7$$"+nDj#p%!#8$"+QJ-S>!"&7$$"*_J/p%!#7$"+KhYT>!"&7$$"+ODB)o%!#8$"+D-.S>!"&7$$"+9c.'o%!#8$"+4KZT>!"&7$$"+\2%Qo%!#8$"+$HP+%>!"&7$$"*%zk"o%!#7$"+o-[T>!"&7$$"+$=d%zY!#8$"+UV/S>!"&7$$"+v%osn%!#8$"+3t[T>!"&7$$"+9=3vY!#8$"+s80S>!"&7$$"+'>(*Gn%!#8$"+HV\T>!"&7$$"+>YrqY!#8$"+%Qe+%>!"&7$$"*3M&oY!#7$"+J8]T>!"&7$$"+wbNmY!#8$"+x`1S>!"&7$$"+/"zTm%!#8$"+:$3:%>!"&7$$"+iY+iY!#8$"+_B2S>!"&7$$"+YA$)fY!#8$"*G::%>!"%7$$"+a=mdY!#8$"+2$z+%>!"&7$$"2(*****>[$\bY!#?$"+FA_T>!"&7$$"+HrK`Y!#8$"+Xi3S>!"&7$$"+"zi6l%!#8$"+b"H:%>!"&7$$"+l/+\Y!#8$"+kJ4S>!"&7$$"+\,%ok%!#8$"+lg`T>!"&7$$"+R=oWY!#8$"+l+5S>!"&7$$"+Mb_UY!#8$"+cHaT>!"&7$$"*Br.k%!#7$"+Zp5S>!"&7$$"+C*=#QY!#8$"*$)\:%>!"%7$$"2.++Shogj%!#?$"+6Q6S>!"&7$$"+(H?Rj%!#8$"+&oc:%>!"&7$$"+pRxJY!#8$"+d17S>!"&7$$"*jH'HY!#7$"+ANcT>!"&7$$"+us[FY!#8$"+&[F,%>!"&7$$"+,pMDY!#8$"*Mq:%>!"%7$$"+2&3Ki%!#8$"+&HM,%>!"&7$$"+*3s5i%!#8$"+TrdT>!"&7$$"+Ww$*=Y!#8$"+(3T,%>!"&7$$"+r^!oh%!#8$"+CReT>!"&7$$"+lYn9Y!#8$"+hy9S>!"&7$$"+Dha7Y!#8$"*p!fT>!"%7$$"+[&>/h%!#8$"+<Y:S>!"&7$$"+J\H3Y!#8$"+PufT>!"&7$$"+rA<1Y!#8$"+b8;S>!"&7$$"+l:0/Y!#8$"+nTgT>!"&7$$"+7G$>g%!#8$"+w!o,%>!"&7$$"+2g")*f%!#8$"+z3hT>!"&7$$"+\6q(f%!#8$"+zZ<S>!"&7$$"+N#)e&f%!#8$"+tvhT>!"&7$$"+isZ$f%!#8$"+l9=S>!"&7$$"2(*****zAo8f%!#?$"*DC;%>!"%7$$"+H6E*e%!#8$"+L")=S>!"&7$$"+jf:(e%!#8$"+44jT>!"&7$$"+GF0&e%!#8$"+%y%>S>!"&7$$"+@9&He%!#8$"+^vjT>!"&7$$"+Q?&3e%!#8$"+<9?S>!"&7$$"+zXvyX!#8$"+wTkT>!"&7$$"+R!fmd%!#8$"+K!3-%>!"&7$$"+;acuX!#8$"+$y];%>!"&7$$"+3PZsX!#8$"+JY@S>!"&7$$"+7RQqX!#8$"+ttlT>!"&7$$"+EgHoX!#8$"+77AS>!"&7$$"+Y+@mX!#8$"+XRmT>!"&7$$"*(f7kX!#7$"+wxAS>!"&7$$"+'zV?c%!#8$"+,0nT>!"&7$$"*_j*fX!#7$"+CVBS>!"&7$$"+T^)yb%!#8$"*/x;%>!"%7$$"+c'3eb%!#8$"+a3CS>!"&7$$"+iSt`X!#8$"+iNoT>!"&7$$"+c8m^X!#8$"+ntCS>!"&7$$"+P0f\X!#8$"+m+pT>!"&7$$"+,;_ZX!#8$"+jQDS>!"&7$$"+XXXXX!#8$"+alpT>!"&7$$"2(*****zO*QVX!#?$"+U.ES>!"&7$$"+ngKTX!#8$"+DIqT>!"&7$$"+RYERX!#8$"+0oES>!"&7$$"+#30s`%!#8$"+z%4<%>!"&7$$"+#RZ^`%!#8$"+^KFS>!"&7$$"+o:4LX!#8$"+;frT>!"&7$$"+3w.JX!#8$"*oz-%>!"%7$$"+2b)*GX!#8$"+PBsT>!"&7$$"+l_$p_%!#8$"+#4'GS>!"&7$$"2.++!yo)[_%!#?$"+T(G<%>!"&7$$"+W.%G_%!#8$"+)[#HS>!"&7$$"*m&z?X!#7$"+H^tT>!"&7$$"+CGv=X!#8$"+n))HS>!"&7$$"+M=r;X!#8$"):uT>!"$7$$"+'osY^%!#8$"*B0.%>!"%7$$"+z`j7X!#8$"+byuT>!"&7$$"*"**f5X!#7$"+x:JS>!"&7$$"+wic3X!#8$"+$>a<%>!"&7$$"+vW`1X!#8$"+2zJS>!"&7$$"+/X]/X!#8$"+:0wT>!"&7$$"+ijZ-X!#8$"+@UKS>!"&7$$"2.++]/]/]%!#?$"+@owT>!"&7$$"+^bU)\%!#8$"+=0LS>!"&7$$"+yGS'\%!#8$"*6t<%>!"%7$$"+A?Q%\%!#8$")oLS>!"$7$$"+$)HO#\%!#8$"+%Qz<%>!"&7$$"+ddM!\%!#8$"+lIMS>!"&7$$"+T.L)[%!#8$"+TcyT>!"&7$$"+MnJ'[%!#8$"+9$\.%>!"&7$$"+L\I%[%!#8$"+$)=zT>!"&7$$"+N\H#[%!#8$"+[bNS>!"&7$$"+QnG![%!#8$"+3")zT>!"&7$$"*M!GyW!#7$"+l<OS>!"&7$$"+RdFwW!#8$"+<V!=%>!"&7$$"+JHFuW!#8$"+mzOS>!"&7$$"+9>FsW!#8$"+60"=%>!"&7$$"+(os-Z%!#8$"+_TPS>!"&7$$"+Y_FoW!#8$"+)o;=%>!"&7$$"+*eziY%!#8$"+A.QS>!"&7$$"+9dGkW!#8$"*&G#=%>!"%7$$"+>OHiW!#8$"+wkQS>!"&7$$"+,LIgW!#8$"+(**G=%>!"&7$$"+dZJeW!#8$"+9ERS>!"&7$$"+')zKcW!#8$"+F^$=%>!"&7$$"+%)HMaW!#8$"+O()RS>!"&7$$"+^(fBX%!#8$"+U7%=%>!"&7$$"+#Gy.X%!#8$"+W[SS>!"&7$$"+x&)R[W!#8$"+Tt%=%>!"&7$$"+J1UYW!#8$"+O4TS>!"&7$$"+WWWWW!#8$"+DM&=%>!"&7$$"+8+ZUW!#8$"+6qTS>!"&7$$"+Ot\SW!#8$"+%\f=%>!"&7$$"+4k_QW!#8$"+sIUS>!"&7$$"+KsbOW!#8$"+Zb'=%>!"&7$$"))*eMW!#6$"+<"H/%>!"&7$$"+8TiKW!#8$"+%er=%>!"&7$$"+o,mIW!#8$"+[^VS>!"&7$$"+jzpGW!#8$"+2w(=%>!"&7$$"+%\PnU%!#8$"+i6WS>!"&7$$"+h(yZU%!#8$"+9O)=%>!"&7$$"*w@GU%!#7$"+irWS>!"&7$$"*\m3U%!#7$"+1'*)=%>!"&7$$"+ZH"*=W!#8$"+YJXS>!"&7$$"+J6'pT%!#8$"+$e&*=%>!"&7$$"+Q5,:W!#8$"+:"f/%>!"&7$$"+lE18W!#8$"+W:!>%>!"&7$$"+7g66W!#8$"*2l/%>!"%7$$"+w5<4W!#8$"+"\2>%>!"&7$$"+ayA2W!#8$"+45ZS>!"&7$$"+WjG0W!#8$"+BM">%>!"&7$$"+VlM.W!#8$"+LpZS>!"&7$$"+^%39S%!#8$"*M>>%>!"%7$$"2(*****H1s%*R%!#?$"+UG[S>!"&7$$"+zt`(R%!#8$"+T_#>%>!"&7$$"+'R/cR%!#8$"+P()[S>!"&7$$"+6Jn$R%!#8$"+G6$>%>!"&7$$"+ANu"R%!#8$"+;Y\S>!"&7$$"+Gc")*Q%!#8$"+,q$>%>!"&7$$"+D%*)yQ%!#8$"+"[+0%>!"&7$$"+7\'fQ%!#8$"+eG%>%>!"&7$$"+(3USQ%!#8$"+Jj]S>!"&7$$"+Z47#Q%!#8$"+,([>%>!"&7$$"+*[,-Q%!#8$"+n@^S>!"&7$$"+8PGyV!#8$"+HX&>%>!"&7$$"+:wOwV!#8$"+()z^S>!"&7$$"+$>`WP%!#8$"+V.'>%>!"&7$$"+Y/asV!#8$"+%zB0%>!"&7$$"+r$H1P%!#8$"+Uh'>%>!"&7$$"+l*>(oV!#8$"+'eH0%>!"&7$$"+FA"oO%!#8$"+F>(>%>!"&7$$"+bh!\O%!#8$"+j``S>!"&7$$"+X<+jV!#8$"+(px>%>!"&7$$"+(**)4hV!#8$"+E6aS>!"&7$$"+3z>fV!#8$"+`M)>%>!"&7$$"+v%)HdV!#8$"+voaS>!"&7$$"+(p+aN%!#8$"+%>*)>%>!"&7$$"+rX]`V!#8$"+4EbS>!"&7$$"+'45;N%!#8$"+@\*>%>!"&7$$"+osr\V!#8$"+H$e0%>!"&7$$"+(3EyM%!#8$"+M1+U>!"&7$$"+\l$fM%!#8$"+MScS>!"&7$$"+`'[SM%!#8$"+Lj+U>!"&7$$"+(Ri@M%!#8$"+E(p0%>!"&7$$"+yxFSV!#8$"+<?,U>!"&7$$"+%z%RQV!#8$"+.adS>!"&7$$"+VM^OV!#8$"+(o<?%>!"&7$$"+BPjMV!#8$"+n5eS>!"&7$$"+LcvKV!#8$"+WL-U>!"&7$$"+o"z3L%!#8$"+;neS>!"&7$$"+HV+HV!#8$"+')*G?%>!"&7$$"+768FV!#8$"+^BfS>!"&7$$"+;&f_K%!#8$"+9Y.U>!"&7$$"+P&*QBV!#8$"+szfS>!"&7$$"+v6_@V!#8$"+G-/U>!"&7$$"+GWl>V!#8$"*e.1%>!"%7$$"+#H*y<V!#8$"+He/U>!"&7$$"+md#fJ%!#8$"+t"41%>!"&7$$"+[Q19V!#8$"+;90U>!"&7$$"+ON?7V!#8$"+`ZhS>!"&7$$"+G[M5V!#8$"+*)p0U>!"&7$$"+@x[3V!#8$"+>.iS>!"&7$$"+9Aj1V!#8$"+[D1U>!"&7$$"+/$yZI%!#8$"+reiS>!"&7$$"**f#HI%!#7$"+$4o?%>!"&7$$"+p_2,V!#8$"*TJ1%>!"%7$$"+RhA*H%!#8$"+DO2U>!"&7$$"+*fytH%!#8$"+NpjS>!"&7$$"+YE`&H%!#8$"+V"z?%>!"&7$$"+y#)o$H%!#8$"+YCkS>!"&7$$"+%\X=H%!#8$"+[Y3U>!"&7$$"*H/+H%!#7$"+WzkS>!"&7$$"+mY;)G%!#8$"+R,4U>!"&7$$"+=mK'G%!#8$"+GMlS>!"&7$$"+Y,\%G%!#8$"+<c4U>!"&7$$"+Y_l#G%!#8$"+**)e1%>!"&7$$"+=>#3G%!#8$"+"3,@%>!"&7$$"+e,**yU!#8$"+dVmS>!"&7$$"+m*frF%!#8$"+Jl5U>!"&7$$"+Q8LvU!#8$"+,)p1%>!"&7$$"+uU]tU!#8$"+p>6U>!"&7$$"*xy;F%!#7$"+J_nS>!"&7$$"+D[&)pU!#8$"+$R<@%>!"&7$$"+PC.oU!#8$"+\1oS>!"&7$$"+/;@mU!#8$"+/G7U>!"&7$$"+CBRkU!#8$"+`goS>!"&7$$"+&fuDE%!#8$"+-#G@%>!"&7$$"+:%e2E%!#8$"+X9pS>!"&7$$"+#yV*eU!#8$"+'eL@%>!"&7$$"+%pIrD%!#8$"+AopS>!"&7$$"+\">`D%!#8$"+d*Q@%>!"&7$$"+X"4ND%!#8$"+(=-2%>!"&7$$"*o+<D%!#7$"+;V9U>!"&7$$"+`P*)\U!#8$"+RvqS>!"&7$$"*O)3[U!#7$"+h'\@%>!"&7$$"+,XGYU!#8$"+yGrS>!"&7$$"+t@[WU!#8$"+$*\:U>!"&7$$"+v8oUU!#8$"+.#=2%>!"&7$$"+.@)3C%!#8$"+8.;U>!"&7$$"+eV3RU!#8$"+;NsS>!"&7$$"+O")GPU!#8$"+>c;U>!"&7$$"+NM\NU!#8$"+;)G2%>!"&7$$"+a-qLU!#8$"+74<U>!"&7$$"+"f3>B%!#8$"+.TtS>!"&7$$"+V%=,B%!#8$"+$>w@%>!"&7$$"*")H$GU!#7$"+x$R2%>!"&7$$"+)oUlA%!#8$"+h9=U>!"&7$$"+wqvCU!#8$"+RYuS>!"&7$$"+tH(HA%!#8$"+;n=U>!"&7$$"+w.>@U!#8$"+())\2%>!"&7$$"+$G4%>U!#8$"+f>>U>!"&7$$"+#pHw@%!#8$"+C^vS>!"&7$$"+-;&e@%!#8$"+)=(>U>!"&7$$"+6]29U!#8$"+Z.wS>!"&7$$"+;**H7U!#8$"+1C?U>!"&7$$"+;j_5U!#8$"+ebwS>!"&7$$"+4Uv3U!#8$"*h2A%>!"%7$$"+$f$)p?%!#8$"+c2xS>!"&7$$"+mW@0U!#8$"+-G@U>!"&7$$"+EoW.U!#8$"+UfxS>!"&7$$"+s1o,U!#8$"+#)z@U>!"&7$$"+-g"**>%!#8$"+:6yS>!"&7$$"+8G:)>%!#8$"+\JAU>!"&7$$"+/6R'>%!#8$"+wiyS>!"&7$$"+s3j%>%!#8$"+.$GA%>!"&7$$"+<@(G>%!#8$"+C9zS>!"&7$$"+P[6">%!#8$"+YMBU>!"&7$$"+G!f$*=%!#8$"*c'zS>!"%7$$"*p/w=%!#7$"+v&QA%>!"&7$$"+@=&e=%!#8$"+%o,3%>!"&7$$"+=/5%=%!#8$"+$pVA%>!"&7$$"+"[]B=%!#8$"+&z13%>!"&7$$"+2?g!=%!#8$"+)z[A%>!"&7$$"+%*\&)yT!#8$"+%*="3%>!"&7$$"*W4r<%!#7$"+"*QDU>!"&7$$"+W`OvT!#8$"+")p"3%>!"&7$$"+/FitT!#8$"+s*eA%>!"&7$$"+>:)=<%!#8$"+c?#3%>!"&7$$"+&yT,<%!#8$"+TSEU>!"&7$$"+,NSoT!#8$"+>r#3%>!"&7$$"+nmmmT!#8$"+)4pA%>!"&7$$"+z7$\;%!#8$"+p@$3%>!"&7$$"+Ot>jT!#8$"+UTFU>!"&7$$"+O[YhT!#8$"+3s$3%>!"&7$$"+xPtfT!#8$"+v"zA%>!"&7$$"+eT+eT!#8$"+MA%3%>!"&7$$"+xfFcT!#8$"+&>%GU>!"&7$$"+J#\X:%!#8$"+\s%3%>!"&7$$"*#R#G:%!#7$"+.#*GU>!"&7$$"+U+5^T!#8$"+^A&3%>!"&7$$"+$fx$\T!#8$")UHU>!"$7$$"+ullZT!#8$"+Us&3%>!"&7$$"+#)p$f9%!#8$"+&=*HU>!"&7$$"+:)=U9%!#8$"+@A'3%>!"&7$$"+r?]UT!#8$"+eTIU>!"&7$$"+\nyST!#8$"+)=n3%>!"&7$$"+[G2RT!#8$"+>"4B%>!"&7$$"+k.OPT!#8$"+V@(3%>!"&7$$"+(H\c8%!#8$"+oSJU>!"&7$$"+W'RR8%!#8$"+(3x3%>!"&7$$"+09BKT!#8$"+1!>B%>!"&7$$"+xX_IT!#8$"+=?)3%>!"&7$$"+e">)GT!#8$"+KRKU>!"&7$$"+Z^6FT!#8$"+Qp)3%>!"&7$$"+TDTDT!#8$"+Y)GB%>!"&7$$"*M6P7%!#7$"+Z=*3%>!"&7$$"+U:,AT!#8$"+\PLU>!"&7$$"+WJJ?T!#8$"+Wn*3%>!"&7$$"+Xhh=T!#8$"*kQB%>!"%7$$"+V0#p6%!#8$"+H;!4%>!"&7$$"+PjA:T!#8$"+>NMU>!"&7$$"+DN`8T!#8$"+-l!4%>!"&7$$"+0@%=6%!#8$"+(Q[B%>!"&7$$"+w?:5T!#8$"+l8"4%>!"&7$$"+NMY3T!#8$"+WKNU>!"&7$$"+"=wn5%!#8$"+;i"4%>!"&7$$"+7.40T!#8$"+*3eB%>!"&7$$"+FeS.T!#8$"+b5#4%>!"&7$$"+CFs,T!#8$"+AHOU>!"&7$$"(T+5%!#5$"+$)e#4%>!"&7$$"+c1O)4%!#8$"+XxOU>!"&7$$"+)o"o'4%!#8$"+*pI4%>!"&7$$"+&4/]4%!#8$"+cDPU>!"&7$$"+wyK$4%!#8$"+/b$4%>!"&7$$"+GIl"4%!#8$"+btPU>!"&7$$"*bz**3%!#7$"+*HS4%>!"&7$$"+TuI)3%!#8$"+W@QU>!"&7$$"+)pOm3%!#8$"+"3X4%>!"&7$$"*Kn\3%!#7$"+@pQU>!"&7$$"+1$*H$3%!#8$"+`)\4%>!"&7$$"+`Ej"3%!#8$"+(o"RU>!"&7$$"*On*zS!#7$"+8Y&4%>!"&7$$"+EMIyS!#8$"+UkRU>!"&7$$"+[3kwS!#8$"+j$f4%>!"&7$$"+D'z\2%!#8$"+&=,C%>!"&7$$"+c(>L2%!#8$")T'4%>!"$7$$"+Q7mrS!#8$"+=fSU>!"&7$$"*2/+2%!#7$"+F)o4%>!"&7$$"+^#[$oS!#8$"+R1TU>!"&7$$"+yPpmS!#8$"+VN(4%>!"&7$$"*lS]1%!#7$"*N:C%>!"%7$$"+m))QjS!#8$"+\#y4%>!"&7$$"+C%Q<1%!#8$"*0?C%>!"%7$$"+A$*3gS!#8$"+VH)4%>!"&7$$"+e:WeS!#8$"+QZUU>!"&7$$"+K^zcS!#8$"+Ew)4%>!"&7$$"+T+:bS!#8$"+;%HC%>!"&7$$"+$G1N0%!#8$"+)H#*4%>!"&7$$"+dQ'=0%!#8$"+$3MC%>!"&7$$"+iFA]S!#8$"+fp*4%>!"&7$$"+'*He[S!#8$"+R(QC%>!"&7$$"+dX%p/%!#8$"*h,5%>!"%7$$"+VuIXS!#8$"+%QVC%>!"&7$$"+a;nVS!#8$"*D15%>!"%7$$"+(=P?/%!#8$"+=![C%>!"&7$$"*////%!#7$"+z3,T>!"&7$$"+8AxQS!#8$"+UEXU>!"&7$$"+/<9PS!#8$"+(\:5%>!"&7$$"*^7b.%!#7$"+bsXU>!"&7$$"+JY)Q.%!#8$"+/,-T>!"&7$$"+l!eA.%!#8$"+d=YU>!"&7$$"+4GjIS!#8$"+,Z-T>!"&7$$"+k)3!HS!#8$"+[kYU>!"&7$$"+EiQFS!#8$"+(GH5%>!"&7$$"+&*[wDS!#8$"+H5ZU>!"&7$$"+p[9CS!#8$"+jQ.T>!"&7$$"+Yh_AS!#8$")cZU>!"$7$$"+D(34-%!#8$"+G%Q5%>!"&7$$"+/EH>S!#8$"+f,[U>!"&7$$"+#yxw,%!#8$"+$)H/T>!"&7$$"+dU1;S!#8$"+4Z[U>!"&7$$"+F?X9S!#8$"+Fv/T>!"&7$$"+"4TG,%!#8$"+[#*[U>!"&7$$"+[9B6S!#8$"*1_5%>!"%7$$"+&4B'4S!#8$"+wP\U>!"&7$$"+Kg,3S!#8$"+%ec5%>!"&7$$"+c-T1S!#8$"+%H)\U>!"&7$$"+nd![+%!#8$"+'4h5%>!"&7$$"+iD?.S!#8$"+-G]U>!"&7$$"*k+;+%!#7$"+)fl5%>!"&7$$"#S!"&$"+*H2D%>!"&7$$"*k+%)*R!#7$"+"4q5%>!"&7$$"+eD!o*R!#8$"+'y6D%>!"&7$$"+`d?&*R!#8$"+sX2T>!"&7$$"+C-h$*R!#8$"+ii^U>!"&7$$"+of,#*R!#8$"+V!z5%>!"&7$$"+&)HU!*R!#8$"+G2_U>!"&7$$"+s7$)))R!#8$"+0N3T>!"&7$$"+H3C()R!#8$"+&=DD%>!"&7$$"+a;l&)R!#8$"+cz3T>!"&7$$"+XP1%)R!#8$"*jHD%>!"%7$$"+,rZ#)R!#8$"+(R#4T>!"&7$$"*s"*3)R!#7$"+mS`U>!"&7$$")wIzR!#6$"+Fo4T>!"&7$$"+TZsxR!#8$"+#\QD%>!"&7$$"+TJ9wR!#8$"+[75T>!"&7$$"+)ziX(R!#8$"+2HaU>!"&7$$"+6P)H(R!#8$"+ec5T>!"&7$$"+yeSrR!#8$"+8taU>!"&7$$"+(HH)pR!#8$"+e+6T>!"&7$$"+oRDoR!#8$"+3<bU>!"&7$$"+*))zm'R!#8$"+\W6T>!"&7$$"+eq5lR!#8$"+$4cD%>!"&7$$"+ua`jR!#8$"+H)=6%>!"&7$$"+N^'>'R!#8$"+p/cU>!"&7$$"*/'RgR!#7$"+*>B6%>!"&7$$"+(=G)eR!#8$"+M[cU>!"&7$$"+v:EdR!#8$"*cF6%>!"%7$$"+.ipbR!#8$"*>pD%>!"%7$$"+o?8aR!#8$"*">8T>!"%7$$"*<pD&R!#7$"+NNdU>!"&7$$"+2v+^R!#8$"+^i8T>!"&7$$"+xqW\R!#8$"+rydU>!"&7$$"*)y)y%R!#7$"+#eS6%>!"&7$$"+8*Hj%R!#8$"+(>#eU>!"&7$$"+wJxWR!#8$"+.\9T>!"&7$$"+mw@VR!#8$"+8leU>!"&7$$"+#Qj;%R!#8$"+9#\6%>!"&7$$"+B.6SR!#8$"+>3fU>!"&7$$"+)[e&QR!#8$"+:N:T>!"&7$$"+uy+PR!#8$"+;^fU>!"&7$$"+"[ea$R!#8$"+2y:T>!"&7$$"+2."R$R!#8$"+-%*fU>!"&7$$"*NjB$R!#7$"+*3i6%>!"&7$$"*h<3$R!#7$"*o.E%>!"%7$$"+%3t#HR!#8$"+hj;T>!"&7$$"+s(Hx#R!#8$"+ZzgU>!"&7$$"+sw=ER!#8$"+C1<T>!"&7$$"+#yYY#R!#8$"+0AhU>!"&7$$"+,r5BR!#8$"+x[<T>!"&7$$"+F'o:#R!#8$"+`khU>!"&7$$"*OJ+#R!#7$"*7z6%>!"%7$$"+)H&\=R!#8$"+#p?E%>!"&7$$"+R/'p"R!#8$"+aL=T>!"&7$$"+#yEa"R!#8$"+@\iU>!"&7$$"+DV*Q"R!#8$"+zv=T>!"&7$$"+nIO7R!#8$"+T"HE%>!"&7$$"+2I$3"R!#8$"+%z">T>!"&7$$"+WTI4R!#8$"+^LjU>!"&7$$"+vkx2R!#8$"+**f>T>!"&7$$"'D1R!"*$"+_vjU>!"&7$$"+<Zs/R!#8$"+&>+7%>!"&7$$"+D1?.R!#8$"+V<kU>!"&7$$"+@xn,R!#8$"+"Q/7%>!"&7$$"+1g:+R!#8$"+DfkU>!"&7$$"+yaj)*Q!#8$"+f&37%>!"&7$$"+Mh6(*Q!#8$"+(4]E%>!"&7$$"+uzf&*Q!#8$"+EF@T>!"&7$$"+(*43%*Q!#8$"*EaE%>!"%7$$")_c#*Q!#6$"+&)o@T>!"&7$$"+%e]5*Q!#8$"+9%eE%>!"&7$$"+Xr`*)Q!#8$"+M5AT>!"&7$$"+$)[-))Q!#8$"+fDmU>!"&7$$"+(z8l)Q!#8$"+u^AT>!"&7$$"+&)Q+&)Q!#8$"+%pmE%>!"&7$$"+Y^\$)Q!#8$"+/$H7%>!"&7$$"+yv)>)Q!#8$"*#3nU>!"%7$$"*="[!)Q!#7$"+EMBT>!"&7$$"*&f(*yQ!#7$"+P\nU>!"&7$$"+))=ZxQ!#8$"+QvBT>!"&7$$"+#**of(Q!#8$"+X!zE%>!"&7$$"+hsYuQ!#8$"+T;CT>!"&7$$"+#pmH(Q!#8$"+VJoU>!"&7$$"+'Gn9(Q!#8$"+NdCT>!"&7$$"*/p*pQ!#7$"+LsoU>!"&7$$"+a>ZoQ!#8$"*#)\7%>!"%7$$"+Dg(p'Q!#8$"+88pU>!"&7$$"+_7[lQ!#8$"+'*QDT>!"&7$$"+Nw)R'Q!#8$"+%Q&pU>!"&7$$"+s^\iQ!#8$"+izDT>!"&7$$"+hQ+hQ!#8$"+Y%*pU>!"&7$$"+,P^fQ!#8$"*-i7%>!"%7$$"+"pC!eQ!#8$"+*\.F%>!"&7$$"*$o`cQ!#7$"+pgET>!"&7$$"+;,0bQ!#8$"+WvqU>!"&7$$"+ZXc`Q!#8$"+3,FT>!"&7$$"+B,3_Q!#8$"+z:rU>!"&7$$"+Vof]Q!#8$"+RTFT>!"&7$$"+/Z6\Q!#8$"+0crU>!"&7$$"+0PjZQ!#8$"+h"y7%>!"&7$$"+YQ:YQ!#8$"+A'>F%>!"&7$$"+D^nWQ!#8$"+u@GT>!"&7$$"*a(>VQ!#7$"+JOsU>!"&7$$"+"4@<%Q!#8$"+yhGT>!"&7$$"+wdCSQ!#8$"+JwsU>!"&7$$"+$fr(QQ!#8$"+t,HT>!"&7$$"+U&)HPQ!#8$"+@;tU>!"&7$$"+@m#e$Q!#8$"+fTHT>!"&7$$"+GeNMQ!#8$"+.ctU>!"&7$$"+jh)G$Q!#8$"+P")HT>!"&7$$"+DwTJQ!#8$"+x&RF%>!"&7$$"+6-&*HQ!#8$"+1@IT>!"&7$$"*#R[GQ!#7$"+TNuU>!"&7$$"+_(=q#Q!#8$"+mgIT>!"&7$$"+0ZbDQ!#8$"+(\ZF%>!"&7$$"+y<4CQ!#8$"+<+JT>!"&7$$"+p*HE#Q!#8$"+W9vU>!"&7$$"+y#p6#Q!#8$"*'RJT>!"%7$$"+-(4(>Q!#8$"+#QbF%>!"&7$$"+T7D=Q!#8$"+%*yJT>!"&7$$"+$*Qz;Q!#8$"+7$fF%>!"&7$$"+dwL:Q!#8$"+>=KT>!"&7$$"+KD)Q"Q!#8$"+LKwU>!"&7$$"+<&GC"Q!#8$"+OdKT>!"&7$$"*hv4"Q!#7$"+XrwU>!"&7$$"*"Q_4Q!#7$"+W'H8%>!"&7$$"+:J23Q!#8$"+\5xU>!"&7$$"+DNi1Q!#8$"+WNLT>!"&7$$"+Q]<0Q!#8$"+X\xU>!"&7$$"+`ws.Q!#8$"+NuLT>!"&7$$"+p8G-Q!#8$"+J)yF%>!"&7$$"+%=O3!Q!#8$"+<8MT>!"&7$$"+(4#R*z$!#8$"*r#yU>!"%7$$"+2"\zz$!#8$"+">X8%>!"&7$$"+8s]'z$!#8$"+zlyU>!"&7$$"+9k1&z$!#8$"+d!\8%>!"&7$$"+2ni$z$!#8$"+T/zU>!"&7$$"+$4)=#z$!#8$"+9HNT>!"&7$$"+p0v!z$!#8$"+%H%zU>!"&7$$"+MTJ*y$!#8$"+jnNT>!"&7$$"+)yyyy$!#8$"+Q")zU>!"&7$$"+HXW'y$!#8$"+.1OT>!"&7$$"+b8,&y$!#8$"+v>!G%>!"&7$$"+m#zNy$!#8$"+NWOT>!"&7$$"*E[@y$!#7$"+.e!G%>!"&7$$"+O$=2y$!#8$"+f#o8%>!"&7$$"+%\*GzP!#8$"+A'4G%>!"&7$$"*thyx$!#7$"+u?PT>!"&7$$"+X]VwP!#8$"+LM"G%>!"&7$$"+Q%4]x$!#8$"+")ePT>!"&7$$"+1\etP!#8$"+Os"G%>!"&7$$"+[9;sP!#8$"*oz8%>!"%7$$"+l!R2x$!#8$"+J5#G%>!"&7$$"+`xJpP!#8$"+rMQT>!"&7$$"+8v*yw$!#8$"+<[#G%>!"&7$$"+V$ykw$!#8$"+`sQT>!"&7$$"+T-1lP!#8$"+&fGG%>!"&7$$"+2KkjP!#8$"+F5RT>!"&7$$"+RsAiP!#8$"+lB$G%>!"&7$$"+NB"3w$!#8$"+$z%RT>!"&7$$"+'\)RfP!#8$"+Fh$G%>!"&7$$"*s&)zv$!#7$"*b)RT>!"%7$$"+/SdcP!#8$"+"))RG%>!"&7$$"*Nj^v$!#7$")BST>!"$7$$"+aPv`P!#8$"+FO%G%>!"&7$$"+;_M_P!#8$"+UgST>!"&7$$"+Mx$4v$!#8$"+kt%G%>!"&7$$"+48`\P!#8$"+v(49%>!"&7$$"+Pf7[P!#8$"+%4^G%>!"&7$$"+>;sYP!#8$"+,NTT>!"&7$$"+_$=`u$!#8$"+:[&G%>!"&7$$"+Oh"Ru$!#8$"+=sTT>!"&7$$"*(\^UP!#7$"+G&eG%>!"&7$$"+_[6TP!#8$"+F4UT>!"&7$$"+#y:(RP!#8$"+MA'G%>!"&7$$"+dxJQP!#8$"+HYUT>!"&7$$"+x2#pt$!#8$"+Jf'G%>!"&7$$"+T[_NP!#8$"+A$G9%>!"&7$$"+[*HTt$!#8$"+@'pG%>!"&7$$"+'4OFt$!#8$"+2?VT>!"&7$$"+%GV8t$!#8$"+-L(G%>!"&7$$"+6:&*HP!#8$"+&oN9%>!"&7$$"+w2cGP!#8$"+wp(G%>!"&7$$"+x5<FP!#8$"+b$R9%>!"&7$$"+9CyDP!#8$"+U1)G%>!"&7$$"+'y%RCP!#8$"+;IWT>!"&7$$"+">3Is$!#8$"+*H%)G%>!"&7$$"+FEi@P!#8$"*nY9%>!"%7$$"+&4Q-s$!#8$"+\z)G%>!"&7$$"+$fa)=P!#8$"+<.XT>!"&7$$"+>@Z<P!#8$"+#f"*G%>!"&7$$"+t14;P!#8$"+bRXT>!"&7$$"+`-r9P!#8$"+E_*G%>!"&7$$"+e3L8P!#8$"+&ed9%>!"&7$$"+([_>r$!#8$"+`))*G%>!"&7$$"+R^d5P!#8$"+37YT>!"&7$$"+8))>4P!#8$"+sC!H%>!"&7$$"+3N#yq$!#8$"+B[YT>!"&7$$"+A#\kq$!#8$"+$31H%>!"&7$$"+af20P!#8$"*Vo9%>!"%7$$"+/Pq.P!#8$"+'o4H%>!"&7$$"+pCL-P!#8$"*.s9%>!"%7$$"*Di4q$!#7$"+#G8H%>!"&7$$"+XIf*p$!#8$"+AcZT>!"&7$$"+_[A)p$!#8$"*(o"H%>!"%7$$"+rw&op$!#8$"+1#z9%>!"&7$$"):\&p$!#6$"+^/#H%>!"&7$$"+Rj7%p$!#8$"+$y#[T>!"&7$$"+'=iFp$!#8$"+BS#H%>!"&7$$"*/*R"p$!#7$"+_j[T>!"&7$$")p.!p$!#6$"+*eFH%>!"&7$$"+ldn)o$!#8$"+8**[T>!"&7$$"+McJ(o$!#8$"+Y6$H%>!"&7$$"+1l&fo$!#8$"+nM\T>!"&7$$"+z$)f%o$!#8$"+'pMH%>!"&7$$"+_7C$o$!#8$"+9q\T>!"&7$$"+D^)=o$!#8$"+R#QH%>!"&7$$"+'**H0o$!#8$"+_0]T>!"&7$$"+le<zO!#8$"+u<%H%>!"&7$$"+HF#yn$!#8$"+%3/:%>!"&7$$"+)eqkn$!#8$"+,`%H%>!"&7$$"+T%>^n$!#8$"+2w]T>!"&7$$"+(GpPn$!#8$"+A)[H%>!"&7$$"+D,UsO!#8$"+C6^T>!"&7$$"+`>2rO!#8$"+MB&H%>!"&7$$"+rZspO!#8$"+LY^T>!"&7$$"+x&y$oO!#8$"*%e&H%>!"%7$$"*PLqm$!#7$"+M"=:%>!"&7$$"*:*olO!#7$"+Q$fH%>!"&7$$"+9fMkO!#8$"+G;_T>!"&7$$"+jO+jO!#8$"+GG'H%>!"&7$$"+&Ri;m$!#8$"+:^_T>!"&7$$"+3@KgO!#8$"+6j'H%>!"&7$$"+.G)*eO!#8$"+%fG:%>!"&7$$"+xWkdO!#8$"+(ypH%>!"&7$$"*82jl$!#7$"+n?`T>!"&7$$"*wq\l$!#7$"+bK(H%>!"&7$$"+n`j`O!#8$"+Kb`T>!"&7$$"*&4I_O!#7$"+;n(H%>!"&7$$"+1v'4l$!#8$"+*)*Q:%>!"&7$$"+O]j\O!#8$"*<!)H%>!"%7$$"+RNI[O!#8$"+RCaT>!"&7$$"+7I(pk$!#8$"+<O)H%>!"&7$$"+cMkXO!#8$"+#)eaT>!"&7$$"+p[JWO!#8$"+cq)H%>!"&7$$"*D()Hk$!#7$"+<$\:%>!"&7$$"+(fg;k$!#8$"+)[!*H%>!"&7$$"+6\LSO!#8$"+YFbT>!"&7$$"+*=5!RO!#8$"+8R*H%>!"&7$$"+JkoPO!#8$"+ohbT>!"&7$$"+OOOOO!#8$"+Jt*H%>!"&7$$"+.=/NO!#8$"+"ef:%>!"&7$$"*$4sLO!#7$"+T2+V>!"&7$$"+<5SKO!#8$"+))HcT>!"&7$$"+i?3JO!#8$"+WT+V>!"&7$$"+lSwHO!#8$"+)Qm:%>!"&7$$"+DqWGO!#8$"+Tv+V>!"&7$$"+R48FO!#8$"+"yp:%>!"&7$$"+4e"ei$!#8$"*$4,V>!"%7$$"+J;]CO!#8$"+mJdT>!"&7$$"+1%)=BO!#8$"+7V,V>!"&7$$"+Kh(=i$!#8$"+XldT>!"&7$$"+3[c?O!#8$"+(o<I%>!"&7$$"+MWD>O!#8$"+<*z:%>!"&7$$"+2]%zh$!#8$"+b5-V>!"&7$$"+Glj;O!#8$"+"G$eT>!"&7$$"+&**G`h$!#8$"+;W-V>!"&7$$"+2C-9O!#8$"+QmeT>!"&7$$"+jnr7O!#8$"*xFI%>!"%7$$"+i?T6O!#8$"+*)**eT>!"&7$$"+.$3,h$!#8$"+<6.V>!"&7$$"+&[0)3O!#8$"+KLfT>!"&7$$"+3O]2O!#8$"+dW.V>!"&7$$"+pE?1O!#8$"+pmfT>!"&7$$"+oE!\g$!#8$"*zPI%>!"%7$$"+/Og.O!#8$"+****fT>!"&7$$"+waI-O!#8$"+;6/V>!"&7$$"+#G35g$!#8$"+@LgT>!"&7$$"+B?r*f$!#8$"+OW/V>!"&7$$"+(p;%)f$!#8$"+PmgT>!"&7$$"+-B7(f$!#8$"+[x/V>!"&7$$"+R)Gef$!#8$"+Y*4;%>!"&7$$"+0j`%f$!#8$"+`50V>!"&7$$")ZC$f$!#6$"+[KhT>!"&7$$"+BS&>f$!#8$"+_V0V>!"&7$$"+tUm!f$!#8$"+VlhT>!"&7$$"+\aP*e$!#8$"+Ww0V>!"&7$$"+\v3)e$!#8$"+K)>;%>!"&7$$"+u0!oe$!#8$"+H41V>!"&7$$"+@X^&e$!#8$"+8JiT>!"&7$$"+"RHUe$!#8$"+2U1V>!"&7$$"+"=XHe$!#8$"+)QE;%>!"&7$$"+"*=m"e$!#8$"+zu1V>!"&7$$"*_z.e$!#7$"+c'H;%>!"&7$$"+n!)4zN!#8$"+V22V>!"&7$$"+Jv"yd$!#8$"+<HjT>!"&7$$"+6z`wN!#8$"+,S2V>!"&7$$"+1#f_d$!#8$"+shjT>!"&7$$"+:9)Rd$!#8$"+_s2V>!"&7$$"+PXqsN!#8$"*UR;%>!"%7$$"+r&G9d$!#8$"+(\!3V>!"&7$$"+<N:qN!#8$"+hEkT>!"&7$$"+s$z)oN!#8$"+NP3V>!"&7$$"+OhgnN!#8$"+'*ekT>!"&7$$"+4QLmN!#8$"+mp3V>!"&7$$"+*Qi]c$!#8$"+B"\;%>!"&7$$"+v=zjN!#8$"*>!4V>!"%7$$"+mA_iN!#8$"+WBlT>!"&7$$"+hNDhN!#8$"+3M4V>!"&7$$"*w&)*fN!#7$"+fblT>!"&7$$"+h)=(eN!#8$"*i'4V>!"%7$$"+kGXdN!#8$"+n(e;%>!"&7$$"+nx=cN!#8$"+D)*4V>!"&7$$"+pN#\b$!#8$"+o>mT>!"&7$$"*FgOb$!#7$"+BI5V>!"&7$$"+pyR_N!#8$"+j^mT>!"&7$$"+kj8^N!#8$"+9i5V>!"&7$$"+ad()\N!#8$"+_$o;%>!"&7$$"*/;'[N!#7$"+*R4J%>!"&7$$"+>sNZN!#8$"+L:nT>!"&7$$"+"H*4YN!#8$"+yD6V>!"&7$$"+bA%[a$!#8$"+3ZnT>!"&7$$"+4heVN!#8$"*v:J%>!"%7$$"+a3LUN!#8$"+xynT>!"&7$$"+([w5a$!#8$"+:*=J%>!"&7$$"+4I#)RN!#8$"+R5oT>!"&7$$"+=/dQN!#8$"+u?7V>!"&7$$"+7(=t`$!#8$"+&>%oT>!"&7$$"+#*y1ON!#8$"+F_7V>!"&7$$"+dz"[`$!#8$"+XtoT>!"&7$$"+0*oN`$!#8$"+t$GJ%>!"&7$$"+N2KKN!#8$"+)[!pT>!"&7$$"+YM2JN!#8$"+8:8V>!"&7$$"+Qq#)HN!#8$"+COpT>!"&7$$"*^"eGN!#7$"+YY8V>!"&7$$"+hoLFN!#8$"+bnpT>!"&7$$"+*3$4EN!#8$"+tx8V>!"&7$$"+%>][_$!#8$"+z)*pT>!"&7$$"+v"3O_$!#8$"+%*39V>!"&7$$"+JqOAN!#8$"+'*HqT>!"&7$$"+hn7@N!#8$"+3S9V>!"&7$$"+kt))>N!#8$"+2hqT>!"&7$$"+R)['=N!#8$"+;r9V>!"&7$$"+&=6u^$!#8$"+7#4<%>!"&7$$"+-W<;N!#8$"+=-:V>!"&7$$"+*[Q\^$!#8$"*J7<%>!"%7$$"+VMq8N!#8$"+8L:V>!"&7$$"+m#pC^$!#8$"+-arT>!"&7$$"+bfB6N!#8$"+-k:V>!"&7$$"*^.+^$!#7$"+)[=<%>!"&7$$"*$>x3N!#7$"+&[fJ%>!"&7$$"+97a2N!#8$"+o:sT>!"&7$$"*O6j]$!#7$"+iD;V>!"&7$$"+pB30N!#8$"+UYsT>!"&7$$"*CaQ]$!#7$"+Kc;V>!"&7$$"*(pi-N!#7$"+4xsT>!"&7$$"*c+9]$!#7$"+'poJ%>!"&7$$"+4]<+N!#8$"*xI<%>!"%7$$"+:.&*)\$!#8$"+a<<V>!"&7$$"+yks(\$!#8$"+DQtT>!"&7$$"+'\.l\$!#8$"+1[<V>!"&7$$"*P"G&\$!#7$"+uotT>!"&7$$"+)4gS\$!#8$"+_y<V>!"&7$$"+z'RG\$!#8$"+;*R<%>!"&7$$"+7,i"\$!#8$"+"*3=V>!"&7$$"+'R,/\$!#8$"+`HuT>!"&7$$"+JN=*[$!#8$"+DR=V>!"&7$$"+;l'z[$!#8$"+$)fuT>!"&7$$"+\.v'[$!#8$"+_p=V>!"&7$$"*.Nb[$!#7$"+2!\<%>!"&7$$"+d0K%[$!#8$"+t**=V>!"&7$$"+Jp5$[$!#8$"+D?vT>!"&7$$"*:%*=[$!#7$"+))H>V>!"&7$$"+9Ao![$!#8$"+P]vT>!"&7$$"*7r%zM!#7$"+(*f>V>!"&7$$"*(3EyM!#7$"+V!e<%>!"&7$$"*Y^qZ$!#7$"(*>V>!"#7$$"+#*G%eZ$!#8$"+V5wT>!"&7$$"+j^juM!#8$"+(*>?V>!"&7$$"+u#GMZ$!#8$"+PSwT>!"&7$$"+AAAsM!#8$"+))\?V>!"&7$$"+3q,rM!#8$"+DqwT>!"&7$$"*j7)pM!#7$"+tz?V>!"&7$$"+)34'oM!#8$"+2+xT>!"&7$$"*Q1uY$!#7$"+_4@V>!"&7$$"+1X?mM!#8$"+$)HxT>!"&7$$"+lM+lM!#8$"+DR@V>!"&7$$"+cK!QY$!#8$"+`fxT>!"&7$$"+yQgiM!#8$"+#*o@V>!"&7$$"+J`ShM!#8$"+<*y<%>!"&7$$"+7w?gM!#8$"+`)>K%>!"&7$$"+B2,fM!#8$"+v=yT>!"&7$$"+hY"yX$!#8$"+4GAV>!"&7$$"+E%>mX$!#8$"+G[yT>!"&7$$"+<]UbM!#8$"+edAV>!"&7$$"+M9BaM!#8$"+uxyT>!"&7$$"+u'QIX$!#8$"+,(GK%>!"&7$$"+Qn%=X$!#8$"+:2zT>!"&7$$"+Dcl]M!#8$"+R;BV>!"&7$$"+L`Y\M!#8$"+\OzT>!"&7$$"+ieF[M!#8$"+rXBV>!"&7$$"+6s3ZM!#8$"+ylzT>!"&7$$"*Q**eW$!#7$"+(\PK%>!"&7$$"+nBrWM!#8$"+,&*zT>!"&7$$"+rh_VM!#8$"+</CV>!"&7$$"+#zSBW$!#8$"+=C!=%>!"&7$$"+Gi:TM!#8$"+JLCV>!"&7$$"*[s*RM!#7$"+H`!=%>!"&7$$"+Y&*yQM!#8$"+RiCV>!"&7$$"+DugPM!#8$"+N#3=%>!"&7$$"+<hUOM!#8$"+U"\K%>!"&7$$"*iX_V$!#7$"+N6"=%>!"&7$$"+Mf1MM!#8$"+R?DV>!"&7$$"+eq)GV$!#8$"+HS"=%>!"&7$$"+"**3<V$!#8$"*$\DV>!"%7$$"+K<`IM!#8$"+<p"=%>!"&7$$"+"Gb$HM!#8$"+;yDV>!"&7$$"+P'z"GM!#8$"+*z>=%>!"&7$$"+)z/qU$!#8$"+&pgK%>!"&7$$"+k2$eU$!#8$"+wE#=%>!"&7$$"+MvlCM!#8$"+pNEV>!"&7$$"+3^[BM!#8$"+[b#=%>!"&7$$"+%[8BU$!#8$"+QkEV>!"&7$$"+iE9@M!#8$"+8%G=%>!"&7$$"*ks*>M!#7$"+,$pK%>!"&7$$"+>M!)=M!#8$"+t7$=%>!"&7$$"+(*\j<M!#8$"+e@FV>!"&7$$"+ttY;M!#8$"+FT$=%>!"&7$$"+Y0I:M!#8$"+4]FV>!"&7$$"+<X89M!#8$"+wp$=%>!"&7$$"+$GpHT$!#8$"+byFV>!"&7$$"+X[!=T$!#8$"+>)R=%>!"&7$$"+,7k5M!#8$"+&p!GV>!"&7$$"*Ny%4M!#7$"+cE%=%>!"&7$$"+#H;$3M!#8$"+HNGV>!"&7$$"+E]:2M!#8$"+)[X=%>!"&7$$"*b%*fS$!#7$"+ejGV>!"&7$$"+m[$[S$!#8$"+9$[=%>!"&7$$"*(fn.M!#7$"+#=*GV>!"&7$$"+jy^-M!#8$"+N6&=%>!"&7$$"+W0O,M!#8$"(#HV>!"#7$$"+7S?+M!#8$"*&R&=%>!"%7$$"+m#[!*R$!#8$"+7[HV>!"&7$$"+1L*yR$!#8$"*wc=%>!"%7$$"*8RnR$!#7$"+>wHV>!"&7$$"+Rde&R$!#8$"+k&f=%>!"&7$$"*8LWR$!#7$"*U+L%>!"%7$$"+.8G$R$!#8$"+iB'=%>!"&7$$"+e-8#R$!#8$"+;KIV>!"&7$$"+$**z4R$!#8$"+b^'=%>!"&7$$"+30$)*Q$!#8$"+1gIV>!"&7$$"+.=o)Q$!#8$"+Vz'=%>!"&7$$"+vQ`(Q$!#8$"+"z3L%>!"&7$$"+DnQ'Q$!#8$"+D2(=%>!"&7$$"+_.C&Q$!#8$"+r:JV>!"&7$$"+bZ4%Q$!#8$"+-N(=%>!"&7$$"+K*\HQ$!#8$"+XVJV>!"&7$$"+%)e!=Q$!#8$"+ti(=%>!"&7$$"*hi1Q$!#7$"+8rJV>!"&7$$"+3,_zL!#8$"+R!z=%>!"&7$$"+y$y$yL!#8$"+w)>L%>!"&7$$"*UPsP$!#7$"+*z")=%>!"&7$$"+Ks4wL!#8$"+MEKV>!"&7$$"+8y&\P$!#8$"+aX)=%>!"&7$$"+j">QP$!#8$"+'QDL%>!"&7$$"+#G"osL!#8$"+/t)=%>!"&7$$"+nTarL!#8$"+L"GL%>!"&7$$"+>ySqL!#8$"+[+*=%>!"&7$$"+PAFpL!#8$"+v3LV>!"&7$$"*UP"oL!#7$"+(y#*=%>!"&7$$"+nL+nL!#8$"+6OLV>!"&7$$"+x+(eO$!#8$"+@b*=%>!"&7$$"*bPZO$!#7$"+UjLV>!"&7$$"+&y0OO$!#8$"+\#)*=%>!"&7$$"+"yuCO$!#8$"+o!RL%>!"&7$$"+QXMhL!#8$"+s4!>%>!"&7$$"+a]@gL!#8$"+*yTL%>!"&7$$"+Hj3fL!#8$"*p.>%>!"%7$$"+h$ezN$!#8$"+/XMV>!"&7$$"+^6$oN$!#8$"+-k!>%>!"&7$$"+)p/dN$!#8$"+9sMV>!"&7$$"(zXN$!#5$"*64>%>!"%7$$"+eSX`L!#8$"+=*\L%>!"&7$$"+p)HBN$!#8$"+6=">%>!"&7$$"+Mk?^L!#8$"+<ENV>!"&7$$"+_P3]L!#8$"+3X">%>!"&7$$"+A='*[L!#8$"+7`NV>!"&7$$"+V1%yM$!#8$"+*><>%>!"&7$$"+9-sYL!#8$"+,!eL%>!"&7$$"+N0gXL!#8$"+'))>>%>!"&7$$"+0;[WL!#8$"+%ogL%>!"&7$$"+CMOVL!#8$"+nD#>%>!"&7$$"+*)fCUL!#8$"+jLOV>!"&7$$"+-$H6M$!#8$"+V_#>%>!"&7$$"*O8+M$!#7$"+OgOV>!"&7$$"+k")*)QL!#8$"+9z#>%>!"&7$$"+7PyPL!#8$"+/(oL%>!"&7$$"+.+nOL!#8$"+z0$>%>!"&7$$"+QqbNL!#8$"+n8PV>!"&7$$"+:[WML!#8$"*CL>%>!"%7$$"+LLLLL!#8$"+DSPV>!"&7$$"+#fAAL$!#8$"+&*e$>%>!"&7$$"+#f76L$!#8$"+ymPV>!"&7$$"*L.+L$!#7$"+X&Q>%>!"&7$$"+2[*)GL!#8$"+D$zL%>!"&7$$"+AqyFL!#8$"+">T>%>!"&7$$"+t*zmK$!#8$"+o>QV>!"&7$$"+hOdDL!#8$"*$Q%>%>!"%7$$"+&3oWK$!#8$"+0YQV>!"&7$$"+WKOBL!#8$"+lk%>%>!"&7$$"+O"fAK$!#8$"+QsQV>!"&7$$"+id:@L!#8$"+&4\>%>!"&7$$"+@J0?L!#8$"+l)*QV>!"&7$$"+67&*=L!#8$"*s^>%>!"%7$$"+L+&yJ$!#8$"+)[#RV>!"&7$$"+&e\nJ$!#8$"*Ma>%>!"%7$$"+n)\cJ$!#8$"+0^RV>!"&7$$"+y3b9L!#8$"+ap&>%>!"&7$$"+=EX8L!#8$"+<xRV>!"&7$$"+%3bBJ$!#8$"+l&f>%>!"&7$$"+y#e7J$!#8$"+C.SV>!"&7$$"+)>i,J$!#8$"+p@'>%>!"&7$$"+Vo14L!#8$"+FHSV>!"&7$$"+8A(zI$!#8$"+pZ'>%>!"&7$$"+2$yoI$!#8$"+CbSV>!"&7$$"+C^y0L!#8$"+kt'>%>!"&7$$"+kEp/L!#8$"+;"3M%>!"&7$$"+D4g.L!#8$"+`*p>%>!"&7$$"+3*4DI$!#8$"+/2TV>!"&7$$"*h>9I$!#7$"+QD(>%>!"&7$$"+L+L+L!#8$"+'G8M%>!"&7$$"+v6C*H$!#8$"+=^(>%>!"&7$$"+MI:)H$!#8$"+keTV>!"&7$$"+7c1(H$!#8$"+$px>%>!"&7$$"+1*yfH$!#8$"+O%=M%>!"&7$$"+;H*[H$!#8$"+k-)>%>!"&7$$"+Uw!QH$!#8$"+/5UV>!"&7$$"+#3BFH$!#8$"+HG)>%>!"&7$$"+O#R;H$!#8$"+nNUV>!"&7$$"+/hb!H$!#8$"+*Q&)>%>!"&7$$"+%ot%*G$!#8$"+DhUV>!"&7$$"+w>R)G$!#8$"+Xz)>%>!"&7$$"*)4J(G$!#7$"+y'GM%>!"&7$$"+$pIiG$!#8$"+&\!*>%>!"&7$$"+<6:&G$!#8$"+E7VV>!"&7$$"*DsSG$!#7$"+TI*>%>!"&7$$"+"4%*HG$!#8$"+pPVV>!"&7$$"+Rm">G$!#8$"+#e&*>%>!"&7$$"+&*)R3G$!#8$"+3jVV>!"&7$$"+dQwzK!#8$"+=")*>%>!"&7$$"+D&)oyK!#8$"+T)QM%>!"&7$$"+(*QhxK!#8$"+\1+U>!"&7$$"+u*RlF$!#8$"*PTM%>!"%7$$"+anYvK!#8$"+wJ+U>!"&7$$"+PURuK!#8$"+&*QWV>!"&7$$"+ACKtK!#8$"+(p0?%>!"&7$$"+48DsK!#8$"+9kWV>!"&7$$"+'*3=rK!#8$"+9#3?%>!"&7$$"+%=6,F$!#8$"+G*[M%>!"&7$$"+r@/pK!#8$"+E2,U>!"&7$$"+cQ(zE$!#8$"+Q9XV>!"&7$$"*C1pE$!#7$"+MK,U>!"&7$$"+@$ReE$!#8$"+VRXV>!"&7$$"+)4tZE$!#8$"+Pd,U>!"&7$$"+svqjK!#8$"+VkXV>!"&7$$"+TFkiK!#8$"+M#=?%>!"&7$$"+/'y:E$!#8$"+R*eM%>!"&7$$"+h^^gK!#8$"+F2-U>!"&7$$"+7CXfK!#8$"*VhM%>!"%7$$"+b.ReK!#8$"+;K-U>!"&7$$"***GtD$!#7$"+;RYV>!"&7$$"+;$oiD$!#8$")d-U>!"$7$$"+L$3_D$!#8$"+)RmM%>!"&7$$"*/\TD$!#7$"+z"G?%>!"&7$$"+O/4`K!#8$"+v)oM%>!"&7$$"*_K?D$!#7$"+a1.U>!"&7$$"+$Hv4D$!#8$"+Z8ZV>!"&7$$"+_(=*\K!#8$"+CJ.U>!"&7$$"+)*G')[K!#8$"+9QZV>!"&7$$"*t2yC$!#7$"+)eN?%>!"&7$$"+ZKvYK!#8$"+xiZV>!"&7$$"+[%*pXK!#8$"+\!Q?%>!"&7$$"+MjkWK!#8$"+N(yM%>!"&7$$"+-RfVK!#8$"+00/U>!"&7$$"+`@aUK!#8$"+*="[V>!"&7$$"+'3"\TK!#8$"+dH/U>!"&7$$")2WSK!#6$"+QO[V>!"&7$$"+%*4RRK!#8$"+.a/U>!"&7$$"+p>MQK!#8$"+#3'[V>!"&7$$"+BOHPK!#8$"+Xy/U>!"&7$$"+bfCOK!#8$"+A&)[V>!"&7$$"+l*)>NK!#8$"+$G]?%>!"&7$$"+_E:MK!#8$"+d4\V>!"&7$$"+;q5LK!#8$"+;F0U>!"&7$$"+c?1KK!#8$"+)Q$\V>!"&7$$"+rx,JK!#8$"+W^0U>!"&7$$"*;u*HK!#7$"+9e\V>!"&7$$"+C7$*GK!#8$"+ov0U>!"&7$$"+h*))yA$!#8$"+O#)\V>!"&7$$"*PZoA$!#7$"+))*f?%>!"&7$$"+_k!eA$!#8$"+`1]V>!"&7$$"+/iwCK!#8$"+.C1U>!"&7$$"+GmsBK!#8$"+mI]V>!"&7$$"+AxoAK!#8$"+8[1U>!"&7$$"+&[\;A$!#8$"+ua]V>!"&7$$"+;>h?K!#8$"+>s1U>!"&7$$"+;]d>K!#8$"+xy]V>!"&7$$"+$yQ&=K!#8$"*ip?%>!"%7$$"+=K]<K!#8$"+x-^V>!"&7$$"+=$ok@$!#8$"+<?2U>!"&7$$"+%3Ma@$!#8$"+sE^V>!"&7$$"+90S9K!#8$"*Tu?%>!"%7$$"+4wO8K!#8$"+i]^V>!"&7$$"+o`L7K!#8$"+(zw?%>!"&7$$"+*y.8@$!#8$"+Zu^V>!"&7$$"+tGF5K!#8$"+"=z?%>!"&7$$"+>EC4K!#8$"+H)>N%>!"&7$$"+DI@3K!#8$"*c"3U>!"%7$$"+#4%=2K!#8$"+1A_V>!"&7$$"+>e:1K!#8$"+NR3U>!"&7$$"+0#G^?$!#8$"+yX_V>!"&7$$"*D,T?$!#7$"+0j3U>!"&7$$"+_\2.K!#8$"+Yp_V>!"&7$$"+7$\??$!#8$"+r')3U>!"&7$$"+GV-,K!#8$"*JHN%>!"%7$$"#K!"&$"+K54U>!"&7$$"+Gj(*)>$!#8$"+p;`V>!"&7$$"*J`z>$!#7$"*R$4U>!"%7$$"+Y4$p>$!#8$"+CS`V>!"&7$$"+O#4f>$!#8$"+Ud4U>!"&7$$"+z"))[>$!#8$"+vj`V>!"&7$$"+ux'Q>$!#8$"+"4)4U>!"&7$$"*-[G>$!#7$"+@(QN%>!"&7$$"+=*G=>$!#8$"+N/5U>!"&7$$"+m/"3>$!#8$"+j5aV>!"&7$$"+jEz*=$!#8$"+uF5U>!"&7$$"*^v()=$!#7$"+,MaV>!"&7$$"+0!fx=$!#8$"*60@%>!"%7$$"+[Ju'=$!#8$"+MdaV>!"&7$$"+Rzs&=$!#8$"+Tu5U>!"&7$$"+wLr%=$!#8$"+j![N%>!"&7$$"+f%*p$=$!#8$"+o(4@%>!"&7$$"+(='o#=$!#8$"+)Q]N%>!"&7$$"*ct;=$!#7$"*47@%>!"%7$$"+y:m!=$!#8$"+3FbV>!"&7$$"+Q-lzJ!#8$"+4W6U>!"&7$$"+U&R'yJ!#8$"+C]bV>!"&7$$"+)[Hw<$!#8$"+An6U>!"&7$$"+w+iwJ!#8$"+OtbV>!"&7$$"+08hvJ!#8$"+K!>@%>!"&7$$"+vJguJ!#8$"+V'fN%>!"&7$$"+%o&ftJ!#8$"+Q87U>!"&7$$"+K))esJ!#8$"+Z>cV>!"&7$$"*i#erJ!#7$"+RO7U>!"&7$$"+XqdqJ!#8$"+YUcV>!"&7$$"+3@dpJ!#8$"+Of7U>!"&7$$"+2ycoJ!#8$"+TlcV>!"&7$$"+VTcnJ!#8$"+H#G@%>!"&7$$"+:6cmJ!#8$"+K)oN%>!"&7$$"+@(eb;$!#8$"+<08U>!"&7$$"+ipbkJ!#8$"+=6dV>!"&7$$"+PebjJ!#8$"+-G8U>!"&7$$"+X`biJ!#8$")MdV>!"$7$$"+&[b:;$!#8$"+#3N@%>!"&7$$"+eibgJ!#8$"+ycdV>!"&7$$"+iwbfJ!#8$"+et8U>!"&7$$"+(pf&eJ!#8$"+`zdV>!"&7$$"+iBcdJ!#8$"*jR@%>!"%7$$"+dcccJ!#8$"+A-eV>!"&7$$"*epb:$!#7$"+)*=9U>!"&7$$"+KTdaJ!#8$"+)[#eV>!"&7$$"+8$zN:$!#8$"+hT9U>!"&7$$"*7&e_J!#7$"+\ZeV>!"&7$$"+a:f^J!#8$"*UY@%>!"%7$$"+9')f]J!#8$"+2qeV>!"&7$$"+*H1'\J!#8$"+w'[@%>!"&7$$"*h9'[J!#7$"*E*eV>!"%7$$"+WNiZJ!#8$"+F4:U>!"&7$$"+.JjYJ!#8$"+4:fV>!"&7$$"+%GVc9$!#8$"+uJ:U>!"&7$$"+)3aY9$!#8$"+aPfV>!"&7$$"+9bmVJ!#8$"+<a:U>!"&7$$"+hvnUJ!#8$"+&*ffV>!"&7$$"+H-pTJ!#8$"+cw:U>!"&7$$"+=NqSJ!#8$"+K#)fV>!"&7$$"+DurRJ!#8$"+"*)f@%>!"&7$$"+_>tQJ!#8$"+l/gV>!"&7$$"+)4Zx8$!#8$"+A@;U>!"&7$$"+hGwOJ!#8$"+%p-O%>!"&7$$"+T#zd8$!#8$"+[V;U>!"&7$$"+QizMJ!#8$"+=\gV>!"&7$$"+^Q"Q8$!#8$"+rl;U>!"&7$$"*3KG8$!#7$"+RrgV>!"&7$$"+C4&=8$!#8$"*zo@%>!"%7$$"+#Qq38$!#8$"+c$4O%>!"&7$$"+a/*)HJ!#8$"+/5<U>!"&7$$"+R6"*GJ!#8$"+o:hV>!"&7$$"+PC$z7$!#8$"+:K<U>!"&7$$"+YV&p7$!#8$"+xPhV>!"&7$$"+oo(f7$!#8$"+Aa<U>!"&7$$"%DJ!"($"+#)fhV>!"&7$$"+VP-CJ!#8$"+Cw<U>!"&7$$"+&4[I7$!#8$"+#==O%>!"&7$$"+cI2AJ!#8$"+B)z@%>!"&7$$"+F')4@J!#8$"+z.iV>!"&7$$"+0[7?J!#8$"+<?=U>!"&7$$"+"f^">J!#8$"+rDiV>!"&7$$"+$)*y"=J!#8$"+3U=U>!"&7$$"+$)p?<J!#8$"*wCO%>!"%7$$"+(eNi6$!#8$"+&R'=U>!"&7$$"+)zk_6$!#8$"+XpiV>!"&7$$"+7YH9J!#8$"+x&)=U>!"&7$$"+J]K8J!#8$"+D"HO%>!"&7$$"+agN7J!#8$"+c2>U>!"&7$$"+zwQ6J!#8$"+-8jV>!"&7$$"+2*>/6$!#8$"+JH>U>!"&7$$"+OFX4J!#8$"+vMjV>!"&7$$"+nh[3J!#8$"+-^>U>!"&7$$"+*>?v5$!#8$"+WcjV>!"&7$$"+J[b1J!#8$"+ps>U>!"&7$$"+i+f0J!#8$"+4yjV>!"&7$$"+$*ei/J!#8$"+K%*>U>!"&7$$"+ABm.J!#8$"+r*RO%>!"&7$$"+[$*p-J!#8$"+"f,A%>!"&7$$"+tpt,J!#8$"+G@kV>!"&7$$"+%>v25$!#8$"+ZP?U>!"&7$$"+6S")*4$!#8$"+"GWO%>!"&7$$"+CM&))4$!#8$"+)*e?U>!"&7$$"+KM*y4$!#8$"+JkkV>!"&7$$"+NS$p4$!#8$"+Y!3A%>!"&7$$"+K_(f4$!#8$"+x&[O%>!"&7$$"+Bq,&4$!#8$"*>5A%>!"%7$$"+1%fS4$!#8$"+=2lV>!"&7$$"+#Q-J4$!#8$"+HB@U>!"&7$$"+\f9#4$!#8$"+dGlV>!"&7$$"+3,>"4$!#8$"+mW@U>!"&7$$"+e[B!4$!#8$"+"*\lV>!"&7$$"+)>!G*3$!#8$"+)f;A%>!"&7$$"+FhK)3$!#8$"+@rlV>!"&7$$"+YEP(3$!#8$"+E(=A%>!"&7$$"+`(>k3$!#8$"+[#fO%>!"&7$$"+[uY&3$!#8$"+^3AU>!"&7$$"+Jd^%3$!#8$"*PhO%>!"%7$$"+,Yc$3$!#8$"+sHAU>!"&7$$"+dSh#3$!#8$"+*[jO%>!"&7$$"+*4k;3$!#8$"+*3DA%>!"&7$$"+EZr!3$!#8$"+0cmV>!"&7$$"+QfwzI!#8$"+-sAU>!"&7$$"+Mx")yI!#8$"+;xmV>!"&7$$"+9,(y2$!#8$"+7$HA%>!"&7$$"+xI#p2$!#8$"+C)pO%>!"&7$$"+Bm(f2$!#8$"+<9BU>!"&7$$"*vI]2$!#7$"+F>nV>!"&7$$"*Y&3uI!#7$"+>NBU>!"&7$$"*vSJ2$!#7$"+GSnV>!"&7$$"+@m>sI!#8$"+=cBU>!"&7$$"+rIDrI!#8$"+ChnV>!"&7$$"+,,JqI!#8$"+7xBU>!"&7$$"*rn$pI!#7$"+<#yO%>!"&7$$"+)*eUoI!#8$"+.)RA%>!"&7$$"+jY[nI!#8$"+1.oV>!"&7$$"+0SamI!#8$"**=CU>!"%7$$"+CRglI!#8$"+"R#oV>!"&7$$"+>WmkI!#8$"+tRCU>!"&7$$"*\DP1$!#7$"+sWoV>!"&7$$"+OryiI!#8$"+`gCU>!"&7$$"+d$\=1$!#8$"*b'oV>!"%7$$"+_@"41$!#8$"+H"[A%>!"&7$$"*_v*fI!#7$"+C')oV>!"&7$$"+i%R!fI!#8$"+--DU>!"&7$$"+wR5eI!#8$"+&p!pV>!"&7$$"+h!pr0$!#8$"*F_A%>!"%7$$"+>ZBcI!#8$"+hFpV>!"&7$$"+Z4IbI!#8$"+NVDU>!"&7$$"+YxOaI!#8$"+D[pV>!"&7$$"+9^V`I!#8$"+'RcA%>!"&7$$"+_I]_I!#8$"+%)opV>!"&7$$"+f:d^I!#8$"+`%eA%>!"&7$$"+N1k]I!#8$"*%*)pV>!"%7$$"+y-r\I!#8$"+30EU>!"&7$$"+)[!y[I!#8$"+#*4qV>!"&7$$"+l7&y/$!#8$"+eDEU>!"&7$$"+3E#p/$!#8$"*/.P%>!"%7$$"+<X*f/$!#8$"+0YEU>!"&7$$"+"*p1XI!#8$"+&30P%>!"&7$$"*.ST/$!#7$"+[mEU>!"&7$$"+MO@VI!#8$"+FrqV>!"&7$$")yGUI!#6$"+(ooA%>!"&7$$"*`i8/$!#7$"+k"4P%>!"&7$$"+ByVSI!#8$"+B2FU>!"&7$$"+yO^RI!#8$"+*>6P%>!"&7$$"+%4!fQI!#8$"+cFFU>!"&7$$"+sqmPI!#8$"+HKrV>!"&7$$"*hWn.$!#7$"+%yuA%>!"&7$$"+3F#e.$!#8$"+c_rV>!"&7$$"+m8!\.$!#8$"+4oFU>!"&7$$"+$e!)R.$!#8$"+zsrV>!"&7$$"+e.1LI!#8$"+J)yA%>!"&7$$"+"pS@.$!#8$"+*H>P%>!"&7$$"+#e@7.$!#8$"+\3GU>!"&7$$"*....$!#7$"+:8sV>!"&7$$"+N]QHI!#8$"+kGGU>!"&7$$"+&fn%GI!#8$"+GLsV>!"&7$$"+62bFI!#8$"+v[GU>!"&7$$"+$QMm-$!#8$"+P`sV>!"&7$$"+3'=d-$!#8$"+#)oGU>!"&7$$"+)Q.[-$!#8$"+VtsV>!"&7$$"+@())Q-$!#8$"+')))GU>!"&7$$"+2Y(H-$!#8$"+X$HP%>!"&7$$"+Y51AI!#8$"+')3HU>!"&7$$"+O![6-$!#8$"+W8tV>!"&7$$"+ybB?I!#8$"+$)GHU>!"&7$$"+rOK>I!#8$"+RLtV>!"&7$$"+:BT=I!#8$"+x[HU>!"&7$$"+4:]<I!#8$"+J`tV>!"&7$$"+_7f;I!#8$"+moHU>!"&7$$"+W:o:I!#8$"+>ttV>!"&7$$"+&QsZ,$!#8$"+`))HU>!"&7$$"+tP'Q,$!#8$"+/$RP%>!"&7$$"*rbH,$!#7$"+N3IU>!"&7$$"+$>[?,$!#8$"+&GTP%>!"&7$$"+B796I!#8$"+:GIU>!"&7$$"+)zM-,$!#8$"+iKuV>!"&7$$"*#*G$4I!#7$"+"z/B%>!"&7$$"+'eB%3I!#8$"+P_uV>!"&7$$"+(z=v+$!#8$"+knIU>!"&7$$"+_Xh1I!#8$"+2suV>!"&7$$"+^3r0I!#8$"+K(3B%>!"&7$$"+#p2[+$!#8$"+v"\P%>!"&7$$"+x]!R+$!#8$"+)p5B%>!"&7$$"+.I+.I!#8$"+R6vV>!"&7$$"+r95-I!#8$"+hEJU>!"&7$$"*[+7+$!#7$")JvV>!"$7$$"*.+.+$!#7$"*i9B%>!"%7$$"*7+%**H!#7$"+c]vV>!"&7$$"*v+&)*H!#7$"+vlJU>!"&7$$"+=>g(*H!#8$"*,dP%>!"%7$$"+EOq'*H!#8$"+F&=B%>!"&7$$"+se!e*H!#8$"*'*eP%>!"%7$$"+b'3\*H!#8$"+w/KU>!"&7$$"+w>,%*H!#8$"+34wV>!"&7$$"+Me6$*H!#8$"+@CKU>!"&7$$"+F-A#*H!#8$"+^GwV>!"&7$$"+d^K"*H!#8$"+jVKU>!"&7$$"+A1V!*H!#8$"+"zkP%>!"&7$$"+Am`*)H!#8$"+,jKU>!"&7$$"+cJk))H!#8$"+GnwV>!"&7$$"+C-v()H!#8$"+O#GB%>!"&7$$"+Ey&o)H!#8$"+i'oP%>!"&7$$"*'f'f)H!#7$"+o,LU>!"&7$$"+FY2&)H!#8$"+#fqP%>!"&7$$"+EQ=%)H!#8$"+(4KB%>!"&7$$"+cNH$)H!#8$"+>DxV>!"&7$$"+<QS#)H!#8$"+ASLU>!"&7$$"+4Y^")H!#8$"+UWxV>!"&7$$"+Jfi!)H!#8$"+VfLU>!"&7$$"+$yP(zH!#8$"+ijxV>!"&7$$"+k,&)yH!#8$"+iyLU>!"&7$$"+tI'z(H!#8$"+z#yP%>!"&7$$"+6l2xH!#8$"+x(RB%>!"&7$$"+w/>wH!#8$"+#>!yV>!"&7$$"+p\IvH!#8$"+*oTB%>!"&7$$"+))*>W(H!#8$"+-@yV>!"&7$$"+Mb`tH!#8$"+(fVB%>!"&7$$"+0;lsH!#8$"+4SyV>!"&7$$"+-#o<(H!#8$"+.bMU>!"&7$$"+C`)3(H!#8$"+8fyV>!"&7$$"*(H+qH!#7$"+0uMU>!"&7$$"*9@"pH!#7$"+8yyV>!"&7$$"+M)R#oH!#8$"+.$\B%>!"&7$$"*0ft'H!#7$"*r*yV>!"%7$$"*zyk'H!#7$"+)>^B%>!"&7$$"+^!*flH!#8$"+/;zV>!"&7$$"+M)>Z'H!#8$"+"4`B%>!"&7$$"+Q6%Q'H!#8$"+%\$zV>!"&7$$"+jH'H'H!#8$"+z\NU>!"&7$$"+3`3iH!#8$"+#Q&zV>!"&7$$"+t"37'H!#8$"+loNU>!"&7$$"+d:LgH!#8$"+mszV>!"&7$$"*Yb%fH!#7$"+[(eB%>!"&7$$"+#))z&eH!#8$"+Y"*zV>!"&7$$"+@[qdH!#8$"+F1OU>!"&7$$"+y-$o&H!#8$"+C5!Q%>!"&7$$"+_i&f&H!#8$"+.DOU>!"&7$$"+UF3bH!#8$"+)*G!Q%>!"&7$$"+\(4U&H!#8$"+vVOU>!"&7$$"+rsL`H!#8$"*x/Q%>!"%7$$"+4`Y_H!#8$"+XiOU>!"&7$$"+hQf^H!#8$"+Pm!Q%>!"&7$$"+FHs]H!#8$"+6"oB%>!"&7$$"+2D&)\H!#8$"+-&3Q%>!"&7$$"+,E)*[H!#8$"+u*pB%>!"&7$$"+3K6[H!#8$"+k."Q%>!"&7$$"+FVCZH!#8$"+M=PU>!"&7$$"+efPYH!#8$"+AA"Q%>!"&7$$")"3b%H!#6$"+"ptB%>!"&7$$"+a2kWH!#8$"+xS"Q%>!"&7$$"+=RxVH!#8$"+WbPU>!"&7$$"+$f2H%H!#8$"+Hf"Q%>!"&7$$"+x</UH!#8$"+&RxB%>!"&7$$"+rk<TH!#8$"+yx"Q%>!"&7$$"+t;JSH!#8$"+U#zB%>!"&7$$"+%QZ%RH!#8$"+B'>Q%>!"&7$$"+.OeQH!#8$"+'3"QU>!"&7$$"+H.sPH!#8$"+m9#Q%>!"&7$$"+iv&o$H!#8$"+FHQU>!"&7$$"+-`*f$H!#8$"+0L#Q%>!"&7$$"+\N8NH!#8$"+lZQU>!"&7$$")BFMH!#6$"+U^#Q%>!"&7$$"+e:TLH!#8$"+*f'QU>!"&7$$"*K^D$H!#7$"+vp#Q%>!"&7$$"+'e"pJH!#8$"*V)QU>!"%7$$"+cB$3$H!#8$"+0)GQ%>!"&7$$"*jt*HH!#7$"+f-RU>!"&7$$"+2a6HH!#8$"+K1$Q%>!"&7$$"+(od#GH!#8$"+%3#RU>!"&7$$"+o/SFH!#8$"+bC$Q%>!"&7$$"+_PaEH!#8$"+2RRU>!"&7$$"+PvoDH!#8$"+wU$Q%>!"&7$$"+A=$[#H!#8$"+EdRU>!"&7$$"+3m(R#H!#8$"+$4OQ%>!"&7$$"+%*=7BH!#8$"+UvRU>!"&7$$"*onA#H!#7$"+3z$Q%>!"&7$$"+kRT@H!#8$"+b$*RU>!"&7$$"+[2c?H!#8$"+>(RQ%>!"&7$$"+H!3(>H!#8$"+k6SU>!"&7$$"+4e&)=H!#8$"+G:%Q%>!"&7$$"+&3/!=H!#8$"+rHSU>!"&7$$"+fG:<H!#8$"+LL%Q%>!"&7$$"+H@I;H!#8$"+vZSU>!"&7$$"+&*=X:H!#8$"+N^%Q%>!"&7$$"+d@g9H!#8$"+vlSU>!"&7$$"+9Hv8H!#8$"+Mp%Q%>!"&7$$"+lT!H"H!#8$"+t$3C%>!"&7$$"+6f07H!#8$"*t[Q%>!"%7$$"+^"37"H!#8$"+o,TU>!"&7$$"+&)3O5H!#8$"+B0&Q%>!"&7$$"+6T^4H!#8$"+f>TU>!"&7$$"*$ym3H!#7$"+8B&Q%>!"&7$$"+T?#y!H!#8$"+[PTU>!"&7$$"+Wn(p!H!#8$")T&Q%>!"$7$$"+Q>81H!#8$"+MbTU>!"&7$$"+BwG0H!#8$"+%)e&Q%>!"&7$$"+*zVW!H!#8$"+;tTU>!"&7$$"+l/g.H!#8$"+lw&Q%>!"&7$$"*idF!H!#7$"+&4>C%>!"&7$$"+k_">!H!#8$"+V%fQ%>!"&7$$"+(Rt5!H!#8$"+s3UU>!"&7$$"+>?B+H!#8$"+=7'Q%>!"&7$$"+G6R**G!#8$"+XEUU>!"&7$$"+D2b)*G!#8$"**H'Q%>!"%7$$"+33r(*G!#8$"+;WUU>!"&7$$"+z8(o*G!#8$"+fZ'Q%>!"&7$$"+OC.'*G!#8$"+$=EC%>!"&7$$"+yR>&*G!#8$"+Dl'Q%>!"&7$$"+1gN%*G!#8$"+[zUU>!"&7$$"+>&=N*G!#8$"+)GoQ%>!"&7$$"+;:o#*G!#8$"+4(HC%>!"&7$$"+(*\%=*G!#8$"+[+(Q%>!"&7$$"+i*35*G!#8$"+o9VU>!"&7$$"*Tt,*G!#7$"+1=(Q%>!"&7$$"+U$Q$*)G!#8$"+CKVU>!"&7$$"+bP]))G!#8$"*ctQ%>!"%7$$"+^'pw)G!#8$"+w\VU>!"&7$$"+Gg$o)G!#8$"+6`(Q%>!"&7$$"+')G+')G!#8$"+EnVU>!"&7$$"+D-<&)G!#8$"+fq(Q%>!"&7$$"+W!QV)G!#8$"+t%QC%>!"&7$$"+Wj]$)G!#8$"+0)yQ%>!"&7$$"+B^n#)G!#8$"+<-WU>!"&7$$"*QW=)G!#7$"+Z0)Q%>!"&7$$"+<T,")G!#8$"+e>WU>!"&7$$"+KV=!)G!#8$"+(G#)Q%>!"&7$$"+C]NzG!#8$"+'pVC%>!"&7$$"+&>E&yG!#8$"+BS)Q%>!"&7$$"+UypxG!#8$"+JaWU>!"&7$$"+l*po(G!#8$"+dd)Q%>!"&7$$"+lD/wG!#8$"+jrWU>!"&7$$"+Tc@vG!#8$"+)[()Q%>!"&7$$"+#>*QuG!#8$"+$*)[C%>!"&7$$"+=KctG!#8$"+;#*)Q%>!"&7$$"+>xtsG!#8$"+>1XU>!"&7$$"+%p7>(G!#8$"+T4*Q%>!"&7$$"+U")3rG!#8$"+VBXU>!"&7$$"+kSEqG!#8$"+jE*Q%>!"&7$$"+f/WpG!#8$"+kSXU>!"&7$$"+EthoG!#8$"+#Q%*Q%>!"&7$$"+mYznG!#8$"+"ybC%>!"&7$$"+xC(p'G!#8$"+*4'*Q%>!"&7$$"*w]h'G!#7$"+(\dC%>!"&7$$"+8&H`'G!#8$"+7y*Q%>!"&7$$"+P(3X'G!#8$"+3#fC%>!"&7$$"+J%)ojG!#8$"+B&**Q%>!"&7$$"+%foG'G!#8$"+=4YU>!"&7$$"+F#\?'G!#8$"+J7!R%>!"&7$$"+H.BhG!#8$"+CEYU>!"&7$$"+**=TgG!#8$"+OH!R%>!"&7$$"+QRffG!#8$"+GVYU>!"&7$$"+WkxeG!#8$"+QY!R%>!"&7$$"+<%fz&G!#8$"+HgYU>!"&7$$"+dG9dG!#8$"+Qj!R%>!"&7$$"+knKcG!#8$"+FxYU>!"&7$$"+O6^bG!#8$"+M!3R%>!"&7$$"+vfpaG!#8$"+A%pC%>!"&7$$"+z7)Q&G!#8$"+G(4R%>!"&7$$"+Zq1`G!#8$"+96ZU>!"&7$$"*G`A&G!#7$"+>9"R%>!"&7$$"+x*R9&G!#8$"+/GZU>!"&7$$"+Qri]G!#8$"+2J"R%>!"&7$$"+iZ")\G!#8$"+"\uC%>!"&7$$"+\G+\G!#8$"+#z9R%>!"&7$$"+)R">[G!#8$"+uhZU>!"&7$$"*T!QZG!#7$"+vk"R%>!"&7$$"+$))pl%G!#8$"+byZU>!"&7$$"+=)fd%G!#8$"+b"=R%>!"&7$$"+8-&\%G!#8$"+M&zC%>!"&7$$"+p59WG!#8$"+K)>R%>!"&7$$"+'QKL%G!#8$"*@"[U>!"%7$$"+hT_UG!#8$"+1:#R%>!"&7$$"+(R;<%G!#8$"+#)G[U>!"&7$$"+"444%G!#8$"+xJ#R%>!"&7$$"+WA5SG!#8$"+_X[U>!"&7$$"+beHRG!#8$"+Y[#R%>!"&7$$"+B**[QG!#8$"+>i[U>!"&7$$"+\WoPG!#8$"+7l#R%>!"&7$$"+L%zo$G!#8$"+%)y[U>!"&7$$"+s[2OG!#8$"+v"GR%>!"&7$$"+o2FNG!#8$"+Y&*[U>!"&7$$"*7nW$G!#7$"+N)HR%>!"&7$$"+FRmLG!#8$"+07\U>!"&7$$"*>hG$G!#7$"+$\JR%>!"&7$$"+2*e?$G!#8$"+hG\U>!"&7$$"+yqDJG!#8$"+[J$R%>!"&7$$"+.dXIG!#8$"+:X\U>!"&7$$"+#ya'HG!#8$")[$R%>!"$7$$"+9V&)GG!#8$"+mh\U>!"&7$$"+*Ha!GG!#8$"*XOR%>!"%7$$"+OZDFG!#8$"+9y\U>!"&7$$"+DcXEG!#8$"+(4QR%>!"&7$$"+lplDG!#8$"+f%*\U>!"&7$$"+d(e[#G!#8$"+T(RR%>!"&7$$"(hS#G!#5$"+-6]U>!"&7$$"+$pjK#G!#8$"+#QTR%>!"&7$$"+OoYAG!#8$"+UF]U>!"&7$$"+H/n@G!#8$"+@I%R%>!"&7$$"+rW(3#G!#8$"*Q/D%>!"%7$$"+i*y+#G!#8$"+dY%R%>!"&7$$"+-RG>G!#8$"+9g]U>!"&7$$"*H*[=G!#7$"+"HYR%>!"&7$$"+D^p<G!#8$"+Zw]U>!"&7$$"+39!p"G!#8$"+@z%R%>!"&7$$"+R"3h"G!#8$"+w#4D%>!"&7$$"+:`J:G!#8$"+\&\R%>!"&7$$"+QH_9G!#8$"+-4^U>!"&7$$"+25t8G!#8$"+u6&R%>!"&7$$"+A&RH"G!#8$"+ED^U>!"&7$$"+"[[@"G!#8$"+(z_R%>!"&7$$"+')yN6G!#8$"+[T^U>!"&7$$"+Nxc5G!#8$"+<W&R%>!"&7$$"+G!y(4G!#8$"+md^U>!"&7$$"+k())*3G!#8$"+Mg&R%>!"&7$$"+W**>3G!#8$"+#Q<D%>!"&7$$"+n:T2G!#8$"+\w&R%>!"&7$$"+KOi1G!#8$"+'**=D%>!"&7$$"+Rh$e!G!#8$"+i#fR%>!"&7$$"+)3\]!G!#8$"+21_U>!"&7$$"+zCE/G!#8$"+r3'R%>!"&7$$"+6jZ.G!#8$"+:A_U>!"&7$$"+$e!p-G!#8$"+yC'R%>!"&7$$"+'H0>!G!#8$"+@Q_U>!"&7$$"+[/7,G!#8$"+#3kR%>!"&7$$"*/O.!G!#7$"+Ba_U>!"&7$$"+s?b*z#!#8$"+%olR%>!"&7$$"+U&o()z#!#8$"+Bq_U>!"&7$$"*X&)zz#!#7$"+$GnR%>!"&7$$"+(z-sz#!#8$"+A'GD%>!"&7$$"+#e?kz#!#8$"+z)oR%>!"&7$$"+.)Qcz#!#8$"+;-`U>!"&7$$"+iu&[z#!#8$"+t/(R%>!"&7$$"+el2%z#!#8$"+4=`U>!"&7$$"+*3'H$z#!#8$"+k?(R%>!"&7$$"+dg^#z#!#8$"+*RLD%>!"&7$$"*YO<z#!#7$"+`O(R%>!"&7$$"+)Hd4z#!#8$"+')\`U>!"&7$$"+r&y,z#!#8$"+R_(R%>!"&7$$"+z-S*y#!#8$"+rl`U>!"&7$$"+@Ci)y#!#8$"+Ao(R%>!"&7$$"+'*\%yy#!#8$"+`"QD%>!"&7$$"+/!oqy#!#8$"+.%yR%>!"&7$$"+Y9H'y#!#8$"+L(RD%>!"&7$$"*K:by#!#7$"+#)*zR%>!"&7$$"+F'RZy#!#8$"*JTD%>!"%7$$"+lV'Ry#!#8$"+d:)R%>!"&7$$"+N&*=$y#!#8$"+&)GaU>!"&7$$"+O^T#y#!#8$"+JJ)R%>!"&7$$"+o6k"y#!#8$"+dWaU>!"&7$$"+Jw'3y#!#8$"+-Z)R%>!"&7$$"+BX4!y#!#8$"+EgaU>!"&7$$"+X=KzF!#8$"+pi)R%>!"&7$$"+(f\&yF!#8$"+$fZD%>!"&7$$"+yxxxF!#8$"+Ny)R%>!"&7$$"+(Q1qx#!#8$"+d"\D%>!"&7$$"+DaBwF!#8$"+*R*)R%>!"&7$$"**[YvF!#7$"+>2bU>!"&7$$"+%y%puF!#8$"+f4*R%>!"&7$$"+/^#Rx#!#8$"+yAbU>!"&7$$"+^e:tF!#8$"+<D*R%>!"&7$$"+DqQsF!#8$"+NQbU>!"&7$$"+D'=;x#!#8$"+tS*R%>!"&7$$"+^1&3x#!#8$"+*QbD%>!"&7$$"+-J3qF!#8$"+Dc*R%>!"&7$$"+zfJpF!#8$"+TpbU>!"&7$$"*G\&oF!#7$"+wr*R%>!"&7$$"+1IynF!#8$"*\eD%>!"%7$$"+cr,nF!#8$"+C()*R%>!"&7$$"+H<DmF!#8$"+P+cU>!"&7$$"+En[lF!#8$"*F+S%>!"%7$$"+X@skF!#8$"+#ehD%>!"&7$$"+))z&Rw#!#8$"+8=+W>!"&7$$"+`U>jF!#8$"+BJcU>!"&7$$"+R4ViF!#8$"+`L+W>!"&7$$"+[!o;w#!#8$"+jYcU>!"&7$$"+xb!4w#!#8$"+#*[+W>!"&7$$"+FN9gF!#8$")icU>!"$7$$"+)*=QfF!#8$"+Fk+W>!"&7$$"*p?'eF!#7$"+MxcU>!"&7$$"+,*fyv#!#8$"*'z+W>!"%7$$"+J&*4dF!#8$"+m#pD%>!"&7$$"+"eRjv#!#8$"+"\4S%>!"&7$$"*0!ebF!#7$"+'zqD%>!"&7$$"+P4#[v#!#8$"+>5,W>!"&7$$"+UA1aF!#8$"+BBdU>!"&7$$"+lRI`F!#8$"+XD,W>!"&7$$"+0ha_F!#8$"+ZQdU>!"&7$$"+j')y^F!#8$"+oS,W>!"&7$$"+P;.^F!#8$"+p`dU>!"&7$$"+G]F]F!#8$"+*e:S%>!"&7$$"+M)=&\F!#8$"+*)odU>!"&7$$"+dIw[F!#8$"+3r,W>!"&7$$"+%p2![F!#8$"+1%yD%>!"&7$$"+ZFDZF!#8$"+C'=S%>!"&7$$"+:#)\YF!#8$"+@*zD%>!"&7$$"+(4Wdu#!#8$"+Q,-W>!"&7$$"+$R!*\u#!#8$"+M9eU>!"&7$$"+-rBWF!#8$"+\;-W>!"&7$$"+DU[VF!#8$"+WHeU>!"&7$$"+h<tUF!#8$"+eJ-W>!"&7$$"+4(z>u#!#8$"+^WeU>!"&7$$"*2G7u#!#7$"+kY-W>!"&7$$"+VoZSF!#8$"+cfeU>!"&7$$"+FgsRF!#8$"+oh-W>!"&7$$"+Bc(*QF!#8$"+fueU>!"&7$$"*jD#QF!#7$"*nFS%>!"%7$$"+ZgZPF!#8$"*'*)eU>!"%7$$"+vosOF!#8$"+p"HS%>!"&7$$"+7"yft#!#8$"+e/fU>!"&7$$"+f(H_t#!#8$"+m1.W>!"&7$$"+;=[MF!#8$"+`>fU>!"&7$$"+"GMPt#!#8$"*;KS%>!"%7$$"+br)Ht#!#8$"+ZMfU>!"&7$$"+P/CKF!#8$"+_O.W>!"&7$$"+FT\JF!#8$"+Q\fU>!"&7$$"+D#[2t#!#8$"+U^.W>!"&7$$"*t-+t#!#7$"+EkfU>!"&7$$"+UwDHF!#8$"+Hm.W>!"&7$$"*'H^GF!#7$"+7zfU>!"&7$$"+&ooxs#!#8$"+9"QS%>!"&7$$"+;[-FF!#8$"+'R*fU>!"&7$$"+_8GEF!#8$"+(fRS%>!"&7$$"+%HQbs#!#8$"+x3gU>!"&7$$"*k&zCF!#7$"+x5/W>!"&7$$"+"R`Ss#!#8$"+cBgU>!"&7$$"+Z:JBF!#8$"+bD/W>!"&7$$"+1,dAF!#8$"+LQgU>!"&7$$"+p!H=s#!#8$"+JS/W>!"&7$$"+N%)3@F!#8$"+2`gU>!"&7$$"+0#[.s#!#8$"+/b/W>!"&7$$"+w$3'>F!#8$"*y1E%>!"%7$$"+^*o)=F!#8$"+vp/W>!"&7$$"+F*H"=F!#8$"+\#3E%>!"&7$$"+/8R<F!#8$"+V%[S%>!"&7$$"+$3`mr#!#8$"+;(4E%>!"&7$$"+j_"fr#!#8$"*"*\S%>!"%7$$"+Wy<:F!#8$"+#=6E%>!"&7$$"+D3W9F!#8$"+u80W>!"&7$$"+1Uq8F!#8$"+WEhU>!"&7$$"+()z'Hr#!#8$"+NG0W>!"&7$$"+n@B7F!#8$"+0ThU>!"&7$$"+Yn\6F!#8$"+%HaS%>!"&7$$"+C<w5F!#8$"+jbhU>!"&7$$")r-5F!#6$"+^d0W>!"&7$$"+vGH4F!#8$"+>qhU>!"&7$$"+Z!f&3F!#8$"+1s0W>!"&7$$"+;c#yq#!#8$"+t%=E%>!"&7$$"+$e#42F!#8$"+f'eS%>!"&7$$"+Y*fjq#!#8$"+C*>E%>!"&7$$"+1xi0F!#8$"+4,1W>!"&7$$"+ie*[q#!#8$"+t8iU>!"&7$$"+8W;/F!#8$"+d:1W>!"&7$$"*OLMq#!#7$"+>GiU>!"&7$$"+.Fq-F!#8$"+-I1W>!"&7$$"*Ws>q#!#7$"+kUiU>!"&7$$"+sDC,F!#8$"+XW1W>!"&7$$"+(480q#!#8$"+1diU>!"&7$$"+<Sy*p#!#8$"+()e1W>!"&7$$"+J`0*p#!#8$"+YriU>!"&7$$"+PqK)p#!#8$"+Dt1W>!"&7$$"+P"*f(p#!#8$"+$eGE%>!"&7$$"+H;(op#!#8$"+i(oS%>!"&7$$"+8X9'p#!#8$"+>+jU>!"&7$$"*z<ap#!#7$"+'>qS%>!"&7$$"+e9p%p#!#8$"+_9jU>!"&7$$"+<b'Rp#!#8$"+G;2W>!"&7$$"+o*RKp#!#8$"+$)GjU>!"&7$$"+4[^#p#!#8$"+eI2W>!"&7$$"*/!z"p#!#7$"+6VjU>!"&7$$"+ic1"p#!#8$"+&[uS%>!"&7$$"+t;M!p#!#8$"+QdjU>!"&7$$"+u!='*o#!#8$"+6f2W>!"&7$$"+k[*))o#!#8$"+irjU>!"&7$$"+V?<)o#!#8$"+Mt2W>!"&7$$"*h\uo#!#7$"+%eQE%>!"&7$$"+mvs'o#!#8$"+b(yS%>!"&7$$"+4f+'o#!#8$"+/+kU>!"&7$$"*k%G&o#!#7$"+t,3W>!"&7$$"+ePc%o#!#8$"+@9kU>!"&7$$"+kK%Qo#!#8$"+*e"3W>!"&7$$"+bJ7$o#!#8$"+PGkU>!"&7$$"+LMS#o#!#8$"+/I3W>!"&7$$"+)4%o"o#!#8$"*DWE%>!"%7$$"+Z^'4o#!#8$"+;W3W>!"&7$$"+$eY-o#!#8$"*mXE%>!"%7$$"+.%G&zE!#8$"+De3W>!"&7$$"+31")yE!#8$"+pqkU>!"&7$$"+)>$4yE!#8$"+Ls3W>!"&7$$"+rhPxE!#8$"+v%[E%>!"&7$$"+H&fmn#!#8$"+Q')3W>!"&7$$"*FVfn#!#7$"*))\E%>!"%7$$"+%RF_n#!#8$"+T+4W>!"&7$$"+->^uE!#8$"+#G^E%>!"&7$$"+"z'ztE!#8$"+U94W>!"&7$$"+k?3tE!#8$"+#o_E%>!"&7$$"+=xOsE!#8$"+TG4W>!"&7$$"+aPlrE!#8$"*3aE%>!"%7$$"+r,%4n#!#8$"+QU4W>!"&7$$"+ppAqE!#8$"+valU>!"&7$$"+[T^pE!#8$"+Kc4W>!"&7$$"+3<!)oE!#8$"+oolU>!"&7$$"+['*3oE!#8$"+Cq4W>!"&7$$"+nzPnE!#8$"*EeE%>!"%7$$"+nmmmE!#8$"+:%)4W>!"&7$$"+Xd&fm#!#8$"+['fE%>!"&7$$"+._ClE!#8$"+.)*4W>!"&7$$"+R]`kE!#8$"+N5mU>!"&7$$"+`_#Qm#!#8$"+)=,T%>!"&7$$"+Ye6jE!#8$"*UiE%>!"%7$$"+;oSiE!#8$"+sD5W>!"&7$$"+j")phE!#8$"+.QmU>!"&7$$"+)))*)4m#!#8$"+aR5W>!"&7$$"**>GgE!#7$"+$=lE%>!"&7$$"+oWdfE!#8$"+L`5W>!"&7$$"+Bt')eE!#8$"+ilmU>!"&7$$"+`0;eE!#8$"*r1T%>!"%7$$"+fTXdE!#8$"+QzmU>!"&7$$"*9[nl#!#7$"+&33T%>!"&7$$"+(\Ugl#!#8$"+7$pE%>!"&7$$"+GsLbE!#8$"+e%4T%>!"&7$$"+LBjaE!#8$"+$oqE%>!"&7$$"+8y#Rl#!#8$"+H36W>!"&7$$"+nOA`E!#8$"+`?nU>!"&7$$"+%*)>Dl#!#8$"+)>7T%>!"&7$$"+%\;=l#!#8$"+@MnU>!"&7$$"+oM6^E!#8$"+lN6W>!"&7$$"+93T]E!#8$"+(yuE%>!"&7$$"+K&3(\E!#8$"+H\6W>!"&7$$"+Bm+\E!#8$"*:wE%>!"%7$$"+&30$[E!#8$"+#H;T%>!"&7$$"+=RgZE!#8$"+6vnU>!"&7$$"+BJ!pk#!#8$"+_w6W>!"&7$$"+*p-ik#!#8$"+r)yE%>!"&7$$"+YE]XE!#8$"*,>T%>!"%7$$"+iH![k#!#8$"+G-oU>!"&7$$"+\O5WE!#8$"+m.7W>!"&7$$"+0ZSVE!#8$"+$e"oU>!"&7$$"+JhqUE!#8$"*s@T%>!"%7$$"+Ez+UE!#8$"+OHoU>!"&7$$"*458k#!#7$"+sI7W>!"&7$$"+AEhSE!#8$"+(G%oU>!"&7$$"+Bb"*RE!#8$"+AW7W>!"&7$$"+"z=#RE!#8$"+NcoU>!"&7$$"+FC_QE!#8$"*xDT%>!"%7$$"+Jk#yj#!#8$"+#)poU>!"&7$$"+-38PE!#8$"+;r7W>!"&7$$"+RbVOE!#8$"+F$)oU>!"&7$$"+V1uNE!#8$"+f%GT%>!"&7$$"+8h/NE!#8$"*n*oU>!"%7$$"+\>NME!#8$"+,)HT%>!"&7$$"+^"eOj#!#8$"*,"pU>!"%7$$"+=Z'Hj#!#8$"*9JT%>!"%7$$"*lrAj#!#7$"+[BpU>!"&7$$"+Z*y:j#!#8$"+yC8W>!"&7$$"+4m)3j#!#8$"+&o$pU>!"&7$$"+MY>IE!#8$"+8Q8W>!"&7$$"+CI]HE!#8$"*-&pU>!"%7$$"+x<")GE!#8$"+Y^8W>!"&7$$"+%*37GE!#8$"+_jpU>!"&7$$"+t.VFE!#8$"+yk8W>!"&7$$"+:-uEE!#8$"+#o(pU>!"&7$$"*U]gi#!#7$"+2y8W>!"&7$$"+()4ODE!#8$"*,*pU>!"%7$$"+;>nCE!#8$"+M"RT%>!"&7$$"+1K)Ri#!#8$"+P.qU>!"&7$$"+e[HBE!#8$"*YST%>!"%7$$"+rogAE!#8$"+h;qU>!"&7$$"+X#>>i#!#8$"+$yTT%>!"&7$$"+z>B@E!#8$"+$)HqU>!"&7$$"+t]a?E!#8$"+/J9W>!"&7$$"+G&e)>E!#8$"+.VqU>!"&7$$"+UB<>E!#8$"+BW9W>!"&7$$"+:l[=E!#8$"+AcqU>!"&7$$"+Z5!yh#!#8$"*uXT%>!"%7$$"+Qf6<E!#8$"+PpqU>!"&7$$"+)=Jkh#!#8$"+cq9W>!"&7$$"+'zYdh#!#8$"+_#3F%>!"&7$$"+iF1:E!#8$"+p$[T%>!"&7$$"+&3zVh#!#8$"+k&4F%>!"&7$$"+mdp8E!#8$"*o\T%>!"%7$$"+/G,8E!#8$"+u3rU>!"&7$$"+*>IBh#!#8$"+*)4:W>!"&7$$"*&zk6E!#7$"+#=7F%>!"&7$$"+dg'4h#!#8$"+'H_T%>!"&7$$"+@XG5E!#8$"+)[8F%>!"&7$$"*M.'4E!#7$"+,O:W>!"&7$$"+:D#*3E!#8$"+#z9F%>!"&7$$"+X?C3E!#8$"+0\:W>!"&7$$"*$>c2E!#7$"+&4;F%>!"&7$$"+p@)og#!#8$"+1i:W>!"&7$$"+jF?1E!#8$"+&R<F%>!"&7$$"*rBbg#!#7$"+0v:W>!"&7$$"+7]%[g#!#8$"+$p=F%>!"&7$$"+nm;/E!#8$"+-)eT%>!"&7$$"+v')[.E!#8$"***>F%>!"%7$$"+O5"Gg#!#8$"+)4gT%>!"&7$$"*vL@g#!#7$"+%G@F%>!"&7$$"+;oX,E!#8$"+"RhT%>!"&7$$"+M-y+E!#8$"+wDsU>!"&7$$"+/S5+E!#8$"+#oiT%>!"&7$$"+E"G%*f#!#8$"+nQsU>!"&7$$"+*f_()f#!#8$"+rR;W>!"&7$$"+Bu2)f#!#8$"+b^sU>!"&7$$"+(f-uf#!#8$"+f_;W>!"&7$$"+B"Gnf#!#8$"+TksU>!"&7$$"+)*R0'f#!#8$"+Wl;W>!"&7$$"+B-Q&f#!#8$"+ExsU>!"&7$$"+)z1Zf#!#8$"+Gy;W>!"&7$$"+AP.%f#!#8$"+3!HF%>!"&7$$"+'*4O$f#!#8$"*6pT%>!"%7$$"+=')o#f#!#8$"+*GIF%>!"&7$$"+*e;?f#!#8$"+*QqT%>!"&7$$"+3\M"f#!#8$"+o:tU>!"&7$$"+vNn!f#!#8$"+n;<W>!"&7$$"*f-+f#!#7$"+WGtU>!"&7$$"+_>L*e#!#8$"+VH<W>!"&7$$"+i;m)e#!#8$"+>TtU>!"&7$$"+=<*ze#!#8$"+<U<W>!"&7$$"+A@K(e#!#8$"+$RNF%>!"&7$$"+rGl'e#!#8$"+*[vT%>!"&7$$"+nR)fe#!#8$"+jmtU>!"&7$$"+3aJ&e#!#8$"+fn<W>!"&7$$"+'>ZYe#!#8$"+LztU>!"&7$$"+G$zRe#!#8$"+F!yT%>!"&7$$"+1=J$e#!#8$"+*>RF%>!"&7$$"+GYk#e#!#8$"+$HzT%>!"&7$$"+&zx>e#!#8$"+l/uU>!"&7$$"+18J"e#!#8$"+e0=W>!"&7$$"+h^k!e#!#8$"+G<uU>!"&7$$"*Oz*zD!#7$"*#==W>!"%7$$"+-RJzD!#8$"**HuU>!"%7$$"+)y['yD!#8$"+"3$=W>!"&7$$"+;S)zd#!#8$"+\UuU>!"&7$$"+)e>td#!#8$"+RV=W>!"&7$$"+,blwD!#8$"+2buU>!"&7$$"+d<*fd#!#8$"+'f&=W>!"&7$$"+a$G`d#!#8$"+jnuU>!"&7$$"+%HlYd#!#8$"+^o=W>!"&7$$"+uD+uD!#8$"+<![F%>!"&7$$"+'>SLd#!#8$"+/")=W>!"&7$$"+e"yEd#!#8$"+p#\F%>!"&7$$"+hk,sD!#8$"+b$*=W>!"&7$$"+/^NrD!#8$"+>0vU>!"&7$$"+(3%pqD!#8$"+/1>W>!"&7$$"*TL+d#!#7$"+n<vU>!"&7$$"+tIPpD!#8$"+_=>W>!"&7$$"+vIroD!#8$"+8IvU>!"&7$$"+;M0oD!#8$"+(4$>W>!"&7$$"+&4%RnD!#8$"+eUvU>!"&7$$"+8^tmD!#8$"+TV>W>!"&7$$"+pk2mD!#8$"+,bvU>!"&7$$"+j"=ac#!#8$"+#e&>W>!"&7$$"+&>gZc#!#8$"+TnvU>!"&7$$"+kD5kD!#8$"+Ao>W>!"&7$$"*FXMc#!#7$"*)zvU>!"%7$$"+9$)yiD!#8$"*1)>W>!"%7$$"+%pJ@c#!#8$"+=#fF%>!"&7$$"*Tv9c#!#7$"+'H*>W>!"&7$$"+i%>3c#!#8$"+`/wU>!"&7$$"*&Q;gD!#7$"+J0?W>!"&7$$"+u&3&fD!#8$"+'ohF%>!"&7$$"+MO&)eD!#8$"+j<?W>!"&7$$"+G!*>eD!#8$"+=HwU>!"&7$$"+dZadD!#8$"+%*H?W>!"&7$$"+@3*ob#!#8$"+[TwU>!"&7$$"+>sBcD!#8$"+BU?W>!"&7$$"+^RebD!#8$"+w`wU>!"&7$$"+<5$\b#!#8$"*X0U%>!"%7$$"+;%yUb#!#8$"+-mwU>!"&7$$"+\hi`D!#8$"+vm?W>!"&7$$"+:U(Hb#!#8$"+EywU>!"&7$$"+9EK_D!#8$"+)*y?W>!"&7$$"+X8n^D!#8$"+[!pF%>!"&7$$"+3/-^D!#8$"*74U%>!"%7$$"+/)p.b#!#8$"+p-xU>!"&7$$"+J&>(\D!#8$"+R.@W>!"&7$$"*fp!\D!#7$"+([rF%>!"&7$$"*)*>%[D!#7$"+d:@W>!"&7$$"+,2xZD!#8$"+0FxU>!"&7$$"+_<7ZD!#8$"+uF@W>!"&7$$"+NJZYD!#8$"*#RxU>!"%7$$"+Z[#ea#!#8$"+))R@W>!"&7$$"**o<XD!#7$"+L^xU>!"&7$$"+i#HXa#!#8$")_@W>!"$7$$"+k>)Qa#!#8$"+XjxU>!"&7$$"+&*\BVD!#8$"+6k@W>!"&7$$"+b$)eUD!#8$"+bvxU>!"&7$$"+W?%>a#!#8$"*i<U%>!"%7$$"+hgHTD!#8$"+j(yF%>!"&7$$"+1/lSD!#8$"+F)=U%>!"&7$$"*30+a#!#7$"+p*zF%>!"&7$$"+"3g$RD!#8$"+K+AW>!"&7$$"*T:(QD!#7$"+t6yU>!"&7$$"+m52QD!#8$"+O7AW>!"&7$$"+\qUPD!#8$"+wByU>!"&7$$"+fLyOD!#8$"+PCAW>!"&7$$"+&**Rh`#!#8$"+xNyU>!"&7$$"+dp\ND!#8$"+QOAW>!"&7$$"+YU&[`#!#8$"+wZyU>!"&7$$"*'=@MD!#7$"+O[AW>!"&7$$"))pN`#!#6$"+tfyU>!"&7$$"+l!GH`#!#8$"+KgAW>!"&7$$"+bmGKD!#8$"+pryU>!"&7$$"*dX;`#!#7$"+FsAW>!"&7$$"+4[+JD!#8$"+i$)yU>!"&7$$"+sVOID!#8$"*UGU%>!"%7$$"*EC(HD!#7$"+b&*yU>!"&7$$"+rW3HD!#8$"+6'HU%>!"&7$$"+1]WGD!#8$"+X2zU>!"&7$$"+ke!y_#!#8$")3BW>!"$7$$"+Yq;FD!#8$"+L>zU>!"&7$$"*bGl_#!#7$"+))>BW>!"&7$$"+w.*e_#!#8$"*7$zU>!"%7$$"+DDDDD!#8$"+uJBW>!"&7$$"+'*\hCD!#8$"+0VzU>!"&7$$"+*yxR_#!#8$"+eVBW>!"&7$$"+.4MBD!#8$"+)[&zU>!"&7$$"+RVqAD!#8$"*aNU%>!"%7$$"+'4o?_#!#8$"*n'zU>!"%7$$"+t@V@D!#8$"+@nBW>!"&7$$"+slz?D!#8$"+\yzU>!"&7$$"*Hh,_#!#7$")zBW>!"$7$$"+Hj_>D!#8$"+F!*zU>!"&7$$"+)o"*)=D!#8$"+x!RU%>!"&7$$"+mtD=D!#8$"+/-!G%>!"&7$$"+kLi<D!#8$"+_-CW>!"&7$$"*o*)p^#!#7$"+y8!G%>!"&7$$"+;jN;D!#8$"+E9CW>!"&7$$"*FBd^#!#7$"+^D!G%>!"&7$$"+V04:D!#8$"+)fUU%>!"&7$$"+M"eW^#!#8$"+AP!G%>!"&7$$"+Vg#Q^#!#8$"+oPCW>!"&7$$"*F%>8D!#7$"+#*[!G%>!"&7$$"+9Gc7D!#8$"+P\CW>!"&7$$"+v;$>^#!#8$"+fg!G%>!"&7$$"+a3I6D!#8$"+/hCW>!"&7$$"+\.n5D!#8$"+Ds!G%>!"&7$$"+h,/5D!#8$"+psCW>!"&7$$"+*G5%4D!#8$"+*Q3G%>!"&7$$"+L2y3D!#8$"+K%[U%>!"&7$$"+#\^"3D!#8$"+_&4G%>!"&7$$"+oD_2D!#8$"+%f\U%>!"&7$$"+eR*o]#!#8$"+82"G%>!"&7$$"+kcE1D!#8$"+a2DW>!"&7$$"+&oPc]#!#8$"+s="G%>!"&7$$"*-5]]#!#7$"+8>DW>!"&7$$"*n#Q/D!#7$"*.8G%>!"%7$$"+Lcv.D!#8$"+pIDW>!"&7$$"+6*GJ]#!#8$"+'=9G%>!"&7$$"+-D]-D!#8$"+CUDW>!"&7$$"+2k(=]#!#8$"*M:G%>!"%7$$"+D1D,D!#8$"+x`DW>!"&7$$"+c^i+D!#8$"+#\;G%>!"&7$$"#D!"&$"+HlDW>!"&7$$"+c^P*\#!#8$"+Vw"G%>!"&7$$"+D1v)\#!#8$"+zwDW>!"&7$$"+0k7)\#!#8$"+#z=G%>!"&7$$"+)\-v\#!#8$"+F)eU%>!"&7$$"+,*yo\#!#8$"+R*>G%>!"&7$$"+<cD'\#!#8$"+u*fU%>!"&7$$"+VEj&\#!#8$"+&3@G%>!"&7$$"*)*4]\#!#7$"+=6EW>!"&7$$"+GwQ%\#!#8$"+HA#G%>!"&7$$"+'elP\#!#8$"+iAEW>!"&7$$"+aQ9$\#!#8$"+rL#G%>!"&7$$"+LC_#\#!#8$"+.MEW>!"&7$$"+@8!>\#!#8$"+7X#G%>!"&7$$"+=0G"\#!#8$"+VXEW>!"&7$$"+D+m!\#!#8$"+^c#G%>!"&7$$"+T)R+\#!#8$"+"olU%>!"&7$$"+l*>%*[#!#8$"+)yEG%>!"&7$$"+)R+))[#!#8$"+=oEW>!"&7$$"*9"=)[#!#7$"+Dz#G%>!"&7$$"+*=iv[#!#8$"+`zEW>!"&7$$"+YN%p[#!#8$"+f!HG%>!"&7$$"+6_K'[#!#8$"+'3pU%>!"&7$$"+%=2d[#!#8$"+">IG%>!"&7$$"+j%*3&[#!#8$"+=-FW>!"&7$$"*0sW[#!#7$"+A8$G%>!"&7$$"+V\&Q[#!#8$"+[8FW>!"&7$$"+V"QK[#!#8$"+^C$G%>!"&7$$"+[;i#[#!#8$"+wCFW>!"&7$$"*Y0?[#!#7$"+zN$G%>!"&7$$"+y&*Q"[#!#8$"+.OFW>!"&7$$"+,Sx![#!#8$"+0Z$G%>!"&7$$"*te,[#!#7$"+GZFW>!"&7$$"+kPazC!#8$"+He$G%>!"&7$$"+."H*yC!#8$"+^eFW>!"&7$$"+YZJyC!#8$"+^p$G%>!"&7$$"+%p+xZ#!#8$"+tpFW>!"&7$$"+Yp3xC!#8$"+s!QG%>!"&7$$"+-NZwC!#8$"+%4yU%>!"&7$$"+h.'eZ#!#8$"+#>RG%>!"&7$$"+DvCvC!#8$"+7#zU%>!"&7$$"+"*\juC!#8$"*JSG%>!"%7$$"+hF-uC!#8$"+H.GW>!"&7$$"+M3TtC!#8$"+E9%G%>!"&7$$"+4#*zsC!#8$"+X9GW>!"&7$$"+')y=sC!#8$"*aUG%>!"%7$$"+modrC!#8$"+eDGW>!"&7$$"+[h'4Z#!#8$"+`O%G%>!"&7$$"+JdNqC!#8$"+rOGW>!"&7$$"+;cupC!#8$"+lZ%G%>!"&7$$"+-e8pC!#8$"+"y%GW>!"&7$$"*HE&oC!#7$"+ve%G%>!"&7$$"+yq"zY#!#8$"**eGW>!"%7$$"+n"3tY#!#8$"+$)p%G%>!"&7$$"+c&*pmC!#8$"+(*pGW>!"&7$$"+X74mC!#8$"+*3[G%>!"&7$$"+NK[lC!#8$"+.")GW>!"&7$$"+Cb([Y#!#8$"+%>\G%>!"&7$$"+7"oUY#!#8$"+2#*GW>!"&7$$"(hOY#!#5$"+(H]G%>!"&7$$"+(=aIY#!#8$"*J!HW>!"%7$$"+twWiC!#8$"+*R^G%>!"&7$$"+d9%=Y#!#8$"+69HW>!"&7$$"*aN7Y#!#7$")D&G%>!"$7$$"+@*H1Y#!#8$"*^#HW>!"%7$$")Y-gC!#6$"+)f`G%>!"&7$$"+x&>%fC!#8$"+3OHW>!"&7$$"+^[")eC!#8$"+&paG%>!"&7$$"+B/@eC!#8$"+/ZHW>!"&7$$"+"H1wX#!#8$"+"zbG%>!"&7$$"+dC+dC!#8$"+*z&HW>!"&7$$"+>*)RcC!#8$"+&)o&G%>!"&7$$"+yczbC!#8$"+#*oHW>!"&7$$"+LF>bC!#8$"+xz&G%>!"&7$$"+$3!faC!#8$"+%)zHW>!"&7$$"*t()RX#!#7$"+o!fG%>!"&7$$"+scQ`C!#8$"+u!*HW>!"&7$$"*"Ry_C!#7$"+d,'G%>!"&7$$"+UC=_C!#8$"+i,IW>!"&7$$"*F"e^C!#7$"+W7'G%>!"&7$$"+#R!)4X#!#8$"+\7IW>!"&7$$"+4)z.X#!#8$"+JB'G%>!"&7$$"*_z(\C!#7$"+MBIW>!"&7$$"+D&z"\C!#8$"+:M'G%>!"&7$$"+C)z&[C!#8$"+=MIW>!"&7$$"+;/)zW#!#8$"+)\kG%>!"&7$$"+-8QZC!#8$"+,XIW>!"&7$$"+"[#yYC!#8$"*elG%>!"%7$$"+`R=YC!#8$"+"e0V%>!"&7$$"+=deXC!#8$"*mmG%>!"%7$$"+vx)\W#!#8$"*m1V%>!"%7$$"+D,RWC!#8$"+Qx'G%>!"&7$$"+mFzVC!#8$"+QxIW>!"&7$$")d>VC!#6$"+:)oG%>!"&7$$"+D*)fUC!#8$"+9)3V%>!"&7$$"+UC+UC!#8$"**)pG%>!"%7$$"*D19W#!#7$"+)))4V%>!"&7$$"+\."3W#!#8$"+k4(G%>!"&7$$"+RZ@SC!#8$"+i4JW>!"&7$$"+>%>'RC!#8$"+O?(G%>!"&7$$"*RC!RC!#7$"+L?JW>!"&7$$"+^'H%QC!#8$"+2J(G%>!"&7$$"+-_$yV#!#8$"+.JJW>!"&7$$"+V5CPC!#8$"+wT(G%>!"&7$$"+trkOC!#8$"+rTJW>!"&7$$"+$f`gV#!#8$"+W_(G%>!"&7$$"+-.YNC!#8$"+Q_JW>!"&7$$")t'[V#!#6$"+4j(G%>!"&7$$"+'euUV#!#8$"+/jJW>!"&7$$"+h@oLC!#8$"+ut(G%>!"&7$$"+C+4LC!#8$"+otJW>!"&7$$"+w")\KC!#8$"+Q%yG%>!"&7$$"+:m!>V#!#8$"*V=V%>!"%7$$"+U`JJC!#8$"+*\zG%>!"&7$$"+cVsIC!#8$"+"\>V%>!"&7$$"+dO8IC!#8$"+f0)G%>!"&7$$"+YKaHC!#8$"*b?V%>!"%7$$"+@J&*GC!#8$"+=;)G%>!"&7$$"+$Gj$GC!#8$"+3;KW>!"&7$$"+JPxFC!#8$"+vE)G%>!"&7$$"+mW=FC!#8$"+kEKW>!"&7$$"+([&fEC!#8$"*t$)G%>!"%7$$"+$z1gU#!#8$"+>PKW>!"&7$$"+&Q=aU#!#8$"+%y%)G%>!"&7$$"+i-$[U#!#8$"+sZKW>!"&7$$"+CCCCC!#8$"+Pe)G%>!"&7$$"+s[lBC!#8$"+CeKW>!"&7$$"+/w1BC!#8$"+))o)G%>!"&7$$"*i![AC!#7$"+voKW>!"&7$$"+@R*=U#!#8$"+Qz)G%>!"&7$$"+1vI@C!#8$"+CzKW>!"&7$$"+v8s?C!#8$"+')*))G%>!"&7$$"+Gb8?C!#8$"+r*GV%>!"&7$$"+k*\&>C!#8$"+L+*G%>!"&7$$"+$ok*=C!#8$"+<+LW>!"&7$$"+'oz$=C!#8$"+y5*G%>!"&7$$"+r\z<C!#8$"+h5LW>!"&7$$"+R0@<C!#8$"+A@*G%>!"&7$$"*REmT#!#7$"+/@LW>!"&7$$"+AD/;C!#8$"+kJ*G%>!"&7$$"+P*eaT#!#8$"+YJLW>!"&7$$"+Mc([T#!#8$"+0U*G%>!"&7$$"+7EH9C!#8$"+'=MV%>!"&7$$"+s)4PT#!#8$"+W_*G%>!"&7$$"+8u78C!#8$"+C_LW>!"&7$$"+N_a7C!#8$"+#G'*G%>!"&7$$"+QL'>T#!#8$"+hiLW>!"&7$$"+A<Q6C!#8$"+=t*G%>!"&7$$"+'Q+3T#!#8$"+(HPV%>!"&7$$"*L>-T#!#7$"+`$)*G%>!"&7$$"+a&Q'4C!#8$"+J$QV%>!"&7$$"+e!e!4C!#8$"+'Q**G%>!"&7$$"+UyZ3C!#8$"+k$RV%>!"&7$$"+0z*yS#!#8$"+=/!H%>!"&7$$"+Z#=tS#!#8$"+&RSV%>!"&7$$"+p)QnS#!#8$"+\9!H%>!"&7$$"+p(fhS#!#8$"+D9MW>!"&7$$"+[4e0C!#8$"+yC!H%>!"&7$$"+0C+0C!#8$"+aCMW>!"&7$$"*9CWS#!#7$"+1N!H%>!"&7$$"+ah%QS#!#8$"+"[VV%>!"&7$$"+X%oKS#!#8$"+KX!H%>!"&7$$"+95p-C!#8$"+1XMW>!"&7$$"*'Q6-C!#7$"+cb!H%>!"&7$$"+%)p`,C!#8$"*`XV%>!"%7$$"+%Qg4S#!#8$"*e1H%>!"%7$$"+hSQ+C!#8$"+`lMW>!"&7$$"+:!3)*R#!#8$"+-w!H%>!"&7$$"+YAB*R#!#8$"+uvMW>!"&7$$"+_nl)R#!#8$"+A'3H%>!"&7$$"+N:3)R#!#8$"+$f[V%>!"&7$$"+$f1vR#!#8$"+T'4H%>!"&7$$"+F>$pR#!#8$"+7'\V%>!"&7$$"+PvN'R#!#8$"+f1"H%>!"&7$$"+@My&R#!#8$"+H1NW>!"&7$$"+"e4_R#!#8$"+v;"H%>!"&7$$"+:gj%R#!#8$"+W;NW>!"&7$$"+CF1%R#!#8$"*p7H%>!"%7$$"+3(*[$R#!#8$"+eENW>!"&7$$"+mp"HR#!#8$"+.P"H%>!"&7$$"+)\WBR#!#8$"+rONW>!"&7$$"+.Bx"R#!#8$"+:Z"H%>!"&7$$"+$Q+7R#!#8$"+#oaV%>!"&7$$"+N(G1R#!#8$"+Dd"H%>!"&7$$"+ht0!R#!#8$"+#pbV%>!"&7$$"*E'[*Q#!#7$"+Nn"H%>!"&7$$"+Ka"*)Q#!#8$")nNW>!"$7$$"+x[M)Q#!#8$"+Ux"H%>!"&7$$"+%fuxQ#!#8$"+3xNW>!"&7$$"+$e/sQ#!#8$"+\(=H%>!"&7$$"+X[j'Q#!#8$"+8(eV%>!"&7$$"+y`1'Q#!#8$"+a(>H%>!"&7$$"+$='\&Q#!#8$"+<(fV%>!"&7$$"*EF\Q#!#7$"+d2#H%>!"&7$$"+3'eVQ#!#8$"*sgV%>!"%7$$"+E-z$Q#!#8$"+f<#H%>!"&7$$"+;@A$Q#!#8$"+@<OW>!"&7$$"+xUl#Q#!#8$"*wAH%>!"%7$$"+3n3#Q#!#8$"+AFOW>!"&7$$"+4%>:Q#!#8$"+fP#H%>!"&7$$"+"Q_4Q#!#8$"*sjV%>!"%7$$"+AcQ!Q#!#8$"+dZ#H%>!"&7$$"+M">)zB!#8$"+<ZOW>!"&7$$"+:HDzB!#8$"+`d#H%>!"&7$$"+lpoyB!#8$"+8dOW>!"&7$$"+%G@"yB!#8$"+\n#H%>!"&7$$"+tebxB!#8$"+3nOW>!"&7$$"*t!*pP#!#7$"+Vx#H%>!"&7$$"+ceUwB!#8$"+,xOW>!"&7$$"*DheP#!#7$"+N(GH%>!"&7$$"+7pHvB!#8$"+#poV%>!"&7$$"+VGtuB!#8$"+E(HH%>!"&7$$"+T!pTP#!#8$"+$opV%>!"&7$$"+2bgtB!#8$"+:2$H%>!"&7$$"*CUIP#!#7$"+s1PW>!"&7$$"+T#zCP#!#8$"+.<$H%>!"&7$$"+4l">P#!#8$"+f;PW>!"&7$$"+VSNrB!#8$"+"pKH%>!"&7$$"+W=zqB!#8$"+XEPW>!"&7$$"+7*H-P#!#8$"+wO$H%>!"&7$$"+Y#o'pB!#8$"*jtV%>!"%7$$"+Zo5pB!#8$"*mMH%>!"%7$$"+8daoB!#8$"+9YPW>!"&7$$"+X[)zO#!#8$"+Vc$H%>!"&7$$"+UUUnB!#8$"+'fvV%>!"&7$$"+0R'oO#!#8$"+Dm$H%>!"&7$$"+LQImB!#8$"+xlPW>!"&7$$"+ESulB!#8$"+0w$H%>!"&7$$"+%[%=lB!#8$"+cvPW>!"&7$$"+2_ikB!#8$"+$eQH%>!"&7$$"+%>mSO#!#8$"+M&yV%>!"&7$$"+Xu]jB!#8$"+h&RH%>!"&7$$"*'*[HO#!#7$"*^zV%>!"%7$$"+R2RiB!#8$"+O0%H%>!"&7$$"+#yK=O#!#8$"+'[!QW>!"&7$$"+*3v7O#!#8$"+7:%H%>!"&7$$"+ewrgB!#8$"*Y"QW>!"%7$$"+"\g,O#!#8$"+&[UH%>!"&7$$"+(e.'fB!#8$"+KCQW>!"&7$$"+Xp/fB!#8$"+dM%H%>!"&7$$"+m0\eB!#8$"+/MQW>!"&7$$"+\W$zN#!#8$"+FW%H%>!"&7$$"+&fytN#!#8$"+uVQW>!"&7$$"+.I#oN#!#8$"+(RXH%>!"&7$$"+swEcB!#8$"+V`QW>!"&7$$"+.ErbB!#8$"+lj%H%>!"&7$$"+'zd^N#!#8$"*J'QW>!"%7$$"+\KgaB!#8$"+Jt%H%>!"&7$$"+k*[SN#!#8$"+wsQW>!"&7$$"*%\\`B!#7$"+'H[H%>!"&7$$"+w6%HN#!#8$"*C)QW>!"%7$$"+twQ_B!#8$"+h#\H%>!"&7$$"+JW$=N#!#8$"+/#*QW>!"&7$$"+[9G^B!#8$"+B-&H%>!"&7$$"+E(G2N#!#8$"+m,RW>!"&7$$"+ji<]B!#8$"+%=^H%>!"&7$$"*1C'\B!#7$"+F6RW>!"&7$$"+<@2\B!#8$"+X@&H%>!"&7$$"+K/_[B!#8$"+'3#RW>!"&7$$"+2!pzM#!#8$"+.J&H%>!"&7$$"*%yTZB!#7$"+WIRW>!"&7$$"+Lp'oM#!#8$"+hS&H%>!"&7$$"+$G;jM#!#8$"+,SRW>!"&7$$"+$*ewXB!#8$"+<]&H%>!"&7$$"*w:_M#!#7$"+c\RW>!"&7$$"+&)emWB!#8$"+sf&H%>!"&7$$"+oi6WB!#8$"*"fRW>!"%7$$"+4pcVB!#8$"+Dp&H%>!"&7$$"+2y,VB!#8$"+joRW>!"&7$$"+i*oCM#!#8$"+xy&H%>!"&7$$"+v.#>M#!#8$"+9yRW>!"&7$$"+W?PTB!#8$"+G)eH%>!"&7$$"*(R#3M#!#7$"+l()RW>!"&7$$"+`hFSB!#8$"+x(fH%>!"&7$$"+"fG(RB!#8$"+8(*RW>!"&7$$"+(G"=RB!#8$"+E2'H%>!"&7$$"+QUjQB!#8$"+h1SW>!"&7$$"+Wu3QB!#8$"+t;'H%>!"&7$$"+24aPB!#8$"+3;SW>!"&7$$"+DY*pL#!#8$"+=E'H%>!"&7$$"+)f[kL#!#8$"+_DSW>!"&7$$"+EG!fL#!#8$"+jN'H%>!"&7$$"*Jd`L#!#7$"+'\.W%>!"&7$$"+[?"[L#!#8$"+1X'H%>!"&7$$"*/nUL#!#7$"+RWSW>!"&7$$"+(GAPL#!#8$"+Za'H%>!"&7$$"+)yxJL#!#8$"*Q0W%>!"%7$$"+VNjKB!#8$"+)QmH%>!"&7$$"+_&*3KB!#8$"*K1W%>!"%7$$"+:eaJB!#8$"+Ft'H%>!"&7$$"+JB+JB!#8$"+esSW>!"&7$$")"f/L#!#6$"+l#oH%>!"&7$$"+Bh"*HB!#8$"+&>3W%>!"&7$$"+*Rt$HB!#8$"+-#pH%>!"&7$$"+F4$)GB!#8$"+K"4W%>!"&7$$"+3()GGB!#8$"+P,(H%>!"&7$$"+TnuFB!#8$"+m+TW>!"&7$$"+F]?FB!#8$"+r5(H%>!"&7$$"+kNmEB!#8$"(6W%>!"#7$$"+aB7EB!#8$"+/?(H%>!"&7$$"+&R"eDB!#8$"+K>TW>!"&7$$"+)oS]K#!#8$"+OH(H%>!"&7$$"+K-]CB!#8$"+jGTW>!"&7$$"+G+'RK#!#8$"+mQ(H%>!"&7$$"+u+UBB!#8$"+#z8W%>!"&7$$"+s.)GK#!#8$"+&zuH%>!"&7$$"*#4MAB!#7$"+@ZTW>!"&7$$"+=<!=K#!#8$"+Bd(H%>!"&7$$"+nFE@B!#8$"+[cTW>!"&7$$"+mSs?B!#8$"+\m(H%>!"&7$$"+:c=?B!#8$"+ulTW>!"&7$$"+9uk>B!#8$"+uv(H%>!"&7$$"+i%4">B!#8$"+*\<W%>!"&7$$"*wr&=B!#7$"+)\yH%>!"&7$$"+2V.=B!#8$"+A%=W%>!"&7$$"+.r\<B!#8$"+@%zH%>!"&7$$"+[,'pJ#!#8$"+W$>W%>!"&7$$"+UMU;B!#8$"+V.)H%>!"&7$$"+&)p)eJ#!#8$"+l-UW>!"&7$$"+w2N:B!#8$"+j7)H%>!"&7$$"+:["[J#!#8$"+&=@W%>!"&7$$"+-"zUJ#!#8$"+#=#)H%>!"&7$$"+POu8B!#8$"+.@UW>!"&7$$"*U3KJ#!#7$")J)H%>!"$7$$"*XtEJ#!#7$"*-BW%>!"%7$$"+G(Q@J#!#8$"+<S)H%>!"&7$$"+`Ug6B!#8$"+ORUW>!"&7$$"+D+26B!#8$"+K\)H%>!"&7$$"+Wg`5B!#8$"+^[UW>!"&7$$"*J-+J#!#7$"+Ye)H%>!"&7$$"+A)o%4B!#8$"+kdUW>!"&7$$"+"eN*3B!#8$"+en)H%>!"&7$$"+&e-%3B!#8$"+wmUW>!"&7$$"+O)pyI#!#8$"*n()H%>!"%7$$"+LtL2B!#8$"+)eFW%>!"&7$$"+v]!oI#!#8$"+"e))H%>!"&7$$"+jIF1B!#8$"+(\GW%>!"&7$$"+'HTdI#!#8$"*\*)H%>!"%7$$"+u(4_I#!#8$"+1%HW%>!"&7$$"+(\yYI#!#8$"+)R!*H%>!"&7$$"+lu9/B!#8$"+8.VW>!"&7$$"+ymh.B!#8$"+/8*H%>!"&7$$"+Nh3.B!#8$"+>7VW>!"&7$$"+Peb-B!#8$"*@#*H%>!"%7$$"+$yD?I#!#8$"+C@VW>!"&7$$"+sf\,B!#8$"+9J*H%>!"&7$$"+1k'4I#!#8$"+GIVW>!"&7$$"+$3P/I#!#8$"+<S*H%>!"&7$$"+/!3**H#!#8$"*$RVW>!"%7$$"+o"z$*H#!#8$"+>\*H%>!"&7$$"+v0&))H#!#8$"+J[VW>!"&7$$"+DAK)H#!#8$"+>e*H%>!"&7$$"+=Tz(H#!#8$"+JdVW>!"&7$$"+`iE(H#!#8$"+>n*H%>!"&7$$"+J'QnH#!#8$"*jOW%>!"%7$$"+^7@'H#!#8$"+<w*H%>!"&7$$"+9To&H#!#8$"+GvVW>!"&7$$"+=s:&H#!#8$"+9&)*H%>!"&7$$"+k0j%H#!#8$"+C%QW%>!"&7$$"+_T5%H#!#8$"*T**H%>!"%7$$"+#)zd$H#!#8$"+>$RW%>!"&7$$"+_?0$H#!#8$"+/.+V>!"&7$$"+kj_#H#!#8$"+8-WW>!"&7$$"+<4+#H#!#8$"+)>,I%>!"&7$$"*rv9H#!#7$"+16WW>!"&7$$"+X2&4H#!#8$"*4-I%>!"%7$$"+>gU!H#!#8$"+)*>WW>!"&7$$"+M:!**G#!#8$"+")H+V>!"&7$$"+*Gx$*G#!#8$"+))GWW>!"&7$$"+%G`))G#!#8$"+rQ+V>!"&7$$"+>&H$)G#!#8$"+xPWW>!"&7$$"+%*f!yG#!#8$"+fZ+V>!"&7$$"+3FG(G#!#8$"+lYWW>!"&7$$"+i'fnG#!#8$"+Zc+V>!"&7$$"+aoB'G#!#8$"+_bWW>!"&7$$"+'G9dG#!#8$"+Ll+V>!"&7$$"+c>>&G#!#8$"+QkWW>!"&7$$"+l)pYG#!#8$"+=u+V>!"&7$$"+8![TG#!#8$"+AtWW>!"&7$$"+*REOG#!#8$"+-$3I%>!"&7$$"+B]5$G#!#8$"+0#[W%>!"&7$$"+&)Qe#G#!#8$"+&=4I%>!"&7$$"+&)H1#G#!#8$"+)3\W%>!"&7$$"+BBa"G#!#8$"+m+,V>!"&7$$"+)*=-"G#!#8$"+p*\W%>!"&7$$"*r,0G#!#7$"+Z4,V>!"&7$$"*w")*zA!#7$"+[3XW>!"&7$$"+Z?YzA!#8$"+D=,V>!"&7$$"+rD%*yA!#8$"+F<XW>!"&7$$"+JLUyA!#8$"+/F,V>!"&7$$"+GV!zF#!#8$"+/EXW>!"&7$$"+hbQxA!#8$"*e8I%>!"%7$$"+Jq'oF#!#8$"+"[`W%>!"&7$$"+P([jF#!#8$"+cW,V>!"&7$$"+y1$eF#!#8$"+bVXW>!"&7$$"+cGJvA!#8$"+J`,V>!"&7$$"+o_zuA!#8$"+H_XW>!"&7$$"+<zFuA!#8$"+/i,V>!"&7$$")3wtA!#6$"+-hXW>!"&7$$"+>RCtA!#8$"+wq,V>!"&7$$"+tsssA!#8$"+upXW>!"&7$$"+h3@sA!#8$"+Zz,V>!"&7$$"+%o%prA!#8$"+WyXW>!"&7$$"+U(y6F#!#8$"+<)=I%>!"&7$$"+MImqA!#8$"+8(eW%>!"&7$$"*cZ,F#!#7$"+&o>I%>!"&7$$"*KK'pA!#7$"+#efW%>!"&7$$"+8t6pA!#8$"+`0-V>!"&7$$"+TDgoA!#8$"+\/YW>!"&7$$"+-!)3oA!#8$"*U@I%>!"%7$$"+'ptvE#!#8$"+98YW>!"&7$$"+C'fqE#!#8$"+&GAI%>!"&7$$"+%yXlE#!#8$"+z@YW>!"&7$$"+y@.mA!#8$"+\J-V>!"&7$$"+/)=bE#!#8$"+UIYW>!"&7$$"+jc+lA!#8$"+6S-V>!"&7$$"+aF\kA!#8$"+0RYW>!"&7$$"+x+)RE#!#8$"+t[-V>!"&7$$"+KwYjA!#8$"+mZYW>!"&7$$"*UbHE#!#7$"+Md-V>!"&7$$"+RMWiA!#8$"+EcYW>!"&7$$"*pJ>E#!#7$"+$fEI%>!"&7$$"+s,UhA!#8$"+&[mW%>!"&7$$"+&))34E#!#8$"+_u-V>!"&7$$"*$yRgA!#7$"+VtYW>!"&7$$"+1q))fA!#8$"+4$GI%>!"&7$$"+7kPfA!#8$")#oW%>!"$7$$"+\g')eA!#8$"+l"HI%>!"&7$$"+<fNeA!#8$"+b!pW%>!"&7$$"+:g%yD#!#8$"*-II%>!"%7$$"+VjLdA!#8$"*"*pW%>!"%7$$"+,p#oD#!#8$"+u3.V>!"&7$$"*p<jD#!#7$"+j2ZW>!"&7$$"+2(3eD#!#8$"+F<.V>!"&7$$"+b**HbA!#8$"+:;ZW>!"&7$$"+K9zaA!#8$"+yD.V>!"&7$$"+QJGaA!#8$"+mCZW>!"&7$$"+t]x`A!#8$"+HM.V>!"&7$$"+PsE`A!#8$"+;LZW>!"&7$$"+J'fFD#!#8$"+yU.V>!"&7$$"+_AD_A!#8$"+lTZW>!"&7$$"+-^u^A!#8$"+E^.V>!"&7$$"+"=Q7D#!#8$"+7]ZW>!"&7$$"+)[J2D#!#8$"+uf.V>!"&7$$"+A]A]A!#8$"+feZW>!"&7$$"+&y=(\A!#8$"+>o.V>!"&7$$"+wF@\A!#8$"+/nZW>!"&7$$"+$*pq[A!#8$"+kw.V>!"&7$$"+R9?[A!#8$"+\vZW>!"&7$$"+6hpZA!#8$"+3&QI%>!"&7$$"+65>ZA!#8$"+#RyW%>!"&7$$"+QhoYA!#8$"+^$RI%>!"&7$$"+"\"=YA!#8$"+M#zW%>!"&7$$"+sqnXA!#8$"+#>SI%>!"&7$$"+yG<XA!#8$"+v+[W>!"&7$$"+6*oYC#!#8$"+L5/V>!"&7$$"+r^;WA!#8$"+:4[W>!"&7$$"+c;mVA!#8$"+s=/V>!"&7$$"+n$eJC#!#8$"+a<[W>!"&7$$"+/`lUA!#8$"+6F/V>!"&7$$"+mC:UA!#8$"+"f#[W>!"&7$$"+a)\;C#!#8$"+[N/V>!"&7$$"+ou9TA!#8$"+GM[W>!"&7$$"+1`kSA!#8$"+%QWI%>!"&7$$"+pL9SA!#8$"+jU[W>!"&7$$"+d;kRA!#8$"+>_/V>!"&7$$"*<S"RA!#7$"+)4&[W>!"&7$$"+3*Q'QA!#8$"+_g/V>!"&7$$"+py8QA!#8$"+Jf[W>!"&7$$"+bqjPA!#8$"+&)o/V>!"&7$$"+lk8PA!#8$"+kn[W>!"&7$$"+*4OmB#!#8$"+<x/V>!"&7$$"+df8OA!#8$"+%f([W>!"&7$$"+QgjNA!#8$"+[&[I%>!"&7$$"+Vj8NA!#8$"+D%)[W>!"&7$$"+sojMA!#8$"+x$\I%>!"&7$$"+Bw8MA!#8$"+a#*[W>!"&7$$"+(fQOB#!#8$"+1-0V>!"&7$$"+&zRJB#!#8$"+#3!\W>!"&7$$"+:7kKA!#8$"+L50V>!"&7$$"+dG9KA!#8$"+34\W>!"&7$$"+AZkJA!#8$"+f=0V>!"&7$$"+4o9JA!#8$"+M<\W>!"&7$$"+>"\1B#!#8$"+%o_I%>!"&7$$"*l^,B#!#7$"+fD\W>!"&7$$"+/WlHA!#8$"+3N0V>!"&7$$"+zt:HA!#8$"+#Q$\W>!"&7$$"+v0mGA!#8$"+JV0V>!"&7$$"+$*R;GA!#8$"+0U\W>!"&7$$"+KwmFA!#8$"+`^0V>!"&7$$"+#\rrA#!#8$"+E]\W>!"&7$$"+tbnEA!#8$"+uf0V>!"&7$$"+v)zhA#!#8$"+Ye\W>!"&7$$"+)R%oDA!#8$"+%zcI%>!"&7$$"+T"*=DA!#8$"+mm\W>!"&7$$"+0TpCA!#8$"+8w0V>!"&7$$"+)G*>CA!#8$"+%[(\W>!"&7$$"+#p/PA#!#8$"*VeI%>!"%7$$"+;.@BA!#8$"+,$)\W>!"&7$$"+fhrAA!#8$"+Z#fI%>!"&7$$"+AAAAA!#8$"+<"*\W>!"&7$$"+0&G<A#!#8$"+j+1V>!"&7$$"+2]B@A!#8$"+K**\W>!"&7$$"+G<u?A!#8$"+x31V>!"&7$$"+o'[-A#!#8$"+Y2]W>!"&7$$"+Fev>A!#8$"*phI%>!"%7$$"+0KE>A!#8$"+f:]W>!"&7$$"+,3x=A!#8$"+.D1V>!"&7$$"+;'y#=A!#8$"+rB]W>!"&7$$"+\my<A!#8$"+9L1V>!"&7$$")\H<A!#6$"+#=.X%>!"&7$$"*P.o@#!#7$"+CT1V>!"&7$$"+d?J;A!#8$"+"*R]W>!"&7$$"+i4#e@#!#8$"+L\1V>!"&7$$"+%3I`@#!#8$")[]W>!"$7$$"+C%R[@#!#8$"+Ud1V>!"&7$$"+")*[V@#!#8$"+3c]W>!"&7$$"+c(eQ@#!#8$"+\l1V>!"&7$$"+Z(oL@#!#8$"+9k]W>!"&7$$"+c*yG@#!#8$"+bt1V>!"&7$$"+"Q*Q7A!#8$"*A2X%>!"%7$$"+A+!>@#!#8$"*;oI%>!"%7$$"*)3T6A!#7$"+D!3X%>!"&7$$"+a>#4@#!#8$"+k*oI%>!"&7$$"+XKV5A!#8$"+G)3X%>!"&7$$"+^Z%*4A!#8$"+n(pI%>!"&7$$"+ukX4A!#8$"+J'4X%>!"&7$$"+7%o*3A!#8$"+p02V>!"&7$$"+l0[3A!#8$"+K/^W>!"&7$$"+MH*z?#!#8$"*PrI%>!"%7$$"+>b]2A!#8$"+K7^W>!"&7$$"+=$=q?#!#8$"+p@2V>!"&7$$"+L8`1A!#8$"+K?^W>!"&7$$"+iX/1A!#8$"+oH2V>!"&7$$"+1!eb?#!#8$"*$G^W>!"%7$$"+l;20A!#8$"+mP2V>!"&7$$"+Qbe/A!#8$"+FO^W>!"&7$$"+D'*4/A!#8$"+jX2V>!"&7$$"+FRh.A!#8$"+BW^W>!"&7$$"+U%GJ?#!#8$"+f`2V>!"&7$$"+sJk-A!#8$"+=_^W>!"&7$$"+:"e@?#!#8$"+ah2V>!"&7$$"+sKn,A!#8$"+8g^W>!"&7$$"+U')=,A!#8$"+Zp2V>!"&7$$"+DUq+A!#8$"+1o^W>!"&7$$"+A+A+A!#8$"*uxI%>!"%7$$"+Kgt*>#!#8$"+)f<X%>!"&7$$"+aAD*>#!#8$"+J&yI%>!"&7$$"*po()>#!#7$"+*Q=X%>!"&7$$"+P`G)>#!#8$"+A$zI%>!"&7$$"+)>-y>#!#8$"+z">X%>!"&7$$"*F>t>#!#7$"+7,3V>!"&7$$"+bl$o>#!#8$"+o*>X%>!"&7$$"+_SN'>#!#8$")43V>!"$7$$"+h<(e>#!#8$"+c2_W>!"&7$$"+#o*Q&>#!#8$"+(o"3V>!"&7$$"+9y!\>#!#8$"+V:_W>!"&7$$"+ehU%>#!#8$"+uC3V>!"&7$$"+8Z%R>#!#8$"+HB_W>!"&7$$"+zMY$>#!#8$"+fK3V>!"&7$$"+cC)H>#!#8$"+:J_W>!"&7$$"+W;]#>#!#8$"+WS3V>!"&7$$"+V5-#>#!#8$"+)*Q_W>!"&7$$"+`1a">#!#8$"+G[3V>!"&7$$"+t/1">#!#8$"+#oCX%>!"&7$$"+/0e!>#!#8$"*h&3V>!"%7$$"+X25!>#!#8$"+ka_W>!"&7$$"+'>@'*=#!#8$"+#R'3V>!"&7$$"+c=9*=#!#8$"+Xi_W>!"&7$$"+FFm)=#!#8$"+sr3V>!"&7$$"+2Q=)=#!#8$"+Dq_W>!"&7$$"+(40x=#!#8$"+_z3V>!"&7$$"+(fEs=#!#8$"+/y_W>!"&7$$"+0$[n=#!#8$"*t)3V>!"%7$$"+B-F'=#!#8$"+#eGX%>!"&7$$"*N#z&=#!#7$"+3&*3V>!"&7$$"+&o9`=#!#8$"+f$HX%>!"&7$$"*BP[=#!#7$"+%G!4V>!"&7$$"+$)*fV=#!#8$"+N,`W>!"&7$$"+WH)Q=#!#8$"*1"4V>!"%7$$"+9hS$=#!#8$"*"4`W>!"%7$$"+"\HH=#!#8$"+N=4V>!"&7$$"+xIX#=#!#8$"+%oJX%>!"&7$$"+ro(>=#!#8$"+3E4V>!"&7$$"+t3]"=#!#8$"+dC`W>!"&7$$"+#3D5=#!#8$"*Q$4V>!"%7$$"+)\\0=#!#8$"+HK`W>!"&7$$"+BT2!=#!#8$"+_T4V>!"&7$$"+a*)fz@!#8$"(MX%>!"#7$$"+#*R7z@!#8$"+B\4V>!"&7$$"+P#\'y@!#8$"*xMX%>!"%7$$"*pu"y@!#7$"+$p&4V>!"&7$$"+[.qx@!#8$"+Rb`W>!"&7$$"+9iAx@!#8$"+hk4V>!"&7$$"+'G_n<#!#8$"+2j`W>!"&7$$"+k&yi<#!#8$"+Hs4V>!"&7$$"+[]!e<#!#8$"+vq`W>!"&7$$"+Q<Lv@!#8$"+&*z4V>!"&7$$"+M'e[<#!#8$"+Ty`W>!"&7$$"+OdQu@!#8$"+h()4V>!"&7$$"+VI"R<#!#8$"+1'QX%>!"&7$$"+c0Wt@!#8$"+D&*4V>!"&7$$"+v#oH<#!#8$"*PRX%>!"%7$$"+)>'\s@!#8$"+*G+J%>!"&7$$"+FV-s@!#8$"+M,aW>!"&7$$"*m_:<#!#7$"+_55V>!"&7$$"+)>"3r@!#8$"+'*3aW>!"&7$$"+T*41<#!#8$"+9=5V>!"&7$$"+*))Q,<#!#8$"+d;aW>!"&7$$"+T!o'p@!#8$"+vD5V>!"&7$$"+(R(>p@!#8$"+<CaW>!"&7$$"+dpso@!#8$"+ML5V>!"&7$$"+AnDo@!#8$"+xJaW>!"&7$$"*p'yn@!#7$"+$4/J%>!"&7$$"+ioJn@!#8$"+NRaW>!"&7$$"+Ps%o;#!#8$"+^[5V>!"&7$$"+;yPm@!#8$"+$pWX%>!"&7$$"+*f3f;#!#8$"+3c5V>!"&7$$"+%eRa;#!#8$"+\aaW>!"&7$$"+t2(\;#!#8$"+lj5V>!"&7$$"+k@]k@!#8$"+0iaW>!"&7$$"+fP.k@!#8$"+>r5V>!"&7$$"+cbcj@!#8$"+fpaW>!"&7$$"+cv4j@!#8$"+uy5V>!"&7$$"+e(HE;#!#8$"+8xaW>!"&7$$"+i@;i@!#8$"+F'3J%>!"&7$$"+pZph@!#8$"+m%[X%>!"&7$$"+xvAh@!#8$"+z$4J%>!"&7$$"+)eg2;#!#8$"+<#\X%>!"&7$$")QHg@!#6$"*85J%>!"%7$$"+9s#)f@!#8$"+o*\X%>!"&7$$"+H3Of@!#8$"+")36V>!"&7$$"+YY*)e@!#8$"+=2bW>!"&7$$"+k'G%e@!#8$"*j6J%>!"%7$$"+$)G'z:#!#8$"+n9bW>!"&7$$"+.t\d@!#8$"+yB6V>!"&7$$"+C>.d@!#8$"+:AbW>!"&7$$"+Yncc@!#8$"+EJ6V>!"&7$$"+o<5c@!#8$"+iHbW>!"&7$$"+"*pjb@!#8$"+sQ6V>!"&7$$"+9C<b@!#8$"+3PbW>!"&7$$"+P!3Z:#!#8$"+=Y6V>!"&7$$"*'QCa@!#7$"+`WbW>!"&7$$"+%))zP:#!#8$"+j`6V>!"&7$$"+2hJ`@!#8$"+(>bX%>!"&7$$"*`_G:#!#7$"+1h6V>!"&7$$"+_"*Q_@!#8$"*%fbW>!"%7$$"+uf#>:#!#8$"+\o6V>!"&7$$"+&*HY^@!#8$"+#ocX%>!"&7$$"+:-+^@!#8$"+"f<J%>!"&7$$"+Mw`]@!#8$"+CubW>!"&7$$"+`_2]@!#8$"+J$=J%>!"&7$$"*28'\@!#7$"+k"eX%>!"&7$$"+&3^"\@!#8$"+r!>J%>!"&7$$")$*o[@!#6$"+/*eX%>!"&7$$"+7xA[@!#8$"*")>J%>!"%7$$"+BjwZ@!#8$"+U'fX%>!"&7$$"+K^IZ@!#8$"+\07V>!"&7$$"+RT%o9#!#8$"*QgX%>!"%7$$"+WLQY@!#8$"+'G@J%>!"&7$$"+ZF#f9#!#8$"+<6cW>!"&7$$"+ZBYX@!#8$"+A?7V>!"&7$$"+X@+X@!#8$"+_=cW>!"&7$$"*9UX9#!#7$"+dF7V>!"&7$$"+LB3W@!#8$"+(eiX%>!"&7$$"+AFiV@!#8$"+#\BJ%>!"&7$$"+4L;V@!#8$"+@LcW>!"&7$$"+$4/F9#!#8$"+DU7V>!"&7$$"+t]CU@!#8$"+aScW>!"&7$$"*D'yT@!#7$"+d\7V>!"&7$$"+BwKT@!#8$"+'ykX%>!"&7$$"+$>p39#!#8$"+*oDJ%>!"&7$$"+f4TS@!#8$"+<bcW>!"&7$$"+@H&*R@!#8$"*UEJ%>!"%7$$"+z]\R@!#8$"+[icW>!"&7$$"+Lu.R@!#8$"*:FJ%>!"%7$$"+$)*z&Q@!#8$"+xpcW>!"&7$$"+GF7Q@!#8$"+zy7V>!"&7$$"+pcmP@!#8$"+0xcW>!"&7$$"+0)3s8#!#8$"+1'GJ%>!"&7$$"+P@vO@!#8$"+L%oX%>!"&7$$"+jcHO@!#8$"+M$HJ%>!"&7$$"+&QRe8#!#8$"*;pX%>!"%7$$"+,LQN@!#8$"*1IJ%>!"%7$$"+7u#\8#!#8$"+&))pX%>!"&7$$"+=<ZM@!#8$"+&yIJ%>!"&7$$"+>i,M@!#8$"*hqX%>!"%7$$"+84cL@!#8$"+4:8V>!"&7$$"+-e5L@!#8$"+M8dW>!"&7$$"+&)3lK@!#8$"+LA8V>!"&7$$"+ih>K@!#8$"+d?dW>!"&7$$"+L;uJ@!#8$"+bH8V>!"&7$$"+)H(GJ@!#8$"+zFdW>!"&7$$"+cJ$38#!#8$"+xO8V>!"&7$$"+2#z.8#!#8$")NdW>!"$7$$"+`a#*H@!#8$"+)RMJ%>!"&7$$"+"*=ZH@!#8$"*AuX%>!"%7$$"+A&=!H@!#8$"+=^8V>!"&7$$"+Z`cG@!#8$"*%\dW>!"%7$$"+kB6G@!#8$"+Oe8V>!"&7$$"+u&fw7#!#8$"+ecdW>!"&7$$"+xp?F@!#8$"+al8V>!"&7$$"+tXvE@!#8$"+wjdW>!"&7$$"*O-j7#!#7$"+rs8V>!"&7$$"*M]e7#!#7$"+#4xX%>!"&7$$"+7&)RD@!#8$"+))z8V>!"&7$$"+wo%\7#!#8$"+3ydW>!"&7$$"+Ka\C@!#8$"+.(QJ%>!"&7$$"*=WS7#!#7$"+B&yX%>!"&7$$"*7$fB@!#7$"+<%RJ%>!"&7$$"+^A9B@!#8$"+P#zX%>!"&7$$"+t:pA@!#8$"+J,9V>!"&7$$"+(3TA7#!#8$"*&*zX%>!"%7$$"+"z!z@@!#8$"+W39V>!"&7$$"+(oS87#!#8$"+j1eW>!"&7$$"+u2*37#!#8$"+b:9V>!"&7$$"+_5W?@!#8$"+u8eW>!"&7$$"*_"**>@!#7$"+nA9V>!"&7$$"+z@a>@!#8$"+%3#eW>!"&7$$"+GI4>@!#8$"+xH9V>!"&7$$"+oSk=@!#8$"+%z#eW>!"&7$$"+)H&>=@!#8$"+'oVJ%>!"&7$$"+<nu<@!#8$"+.NeW>!"&7$$"+F$)H<@!#8$"+%RWJ%>!"&7$$"+F,&o6#!#8$"*@%eW>!"%7$$"+;@S;@!#8$"+,^9V>!"&7$$"+&Haf6#!#8$"+<\eW>!"&7$$"+km]:@!#8$"+3e9V>!"&7$$"+A#f]6#!#8$"+BceW>!"&7$$"+p>h9@!#8$"+9l9V>!"&7$$"+0\;9@!#8$"+HjeW>!"&7$$"*.=P6#!#7$"+=s9V>!"&7$$"+W8F8@!#8$"+LqeW>!"&7$$"+Z[#G6#!#8$"+Az9V>!"&7$$"+Q&yB6#!#8$"+PxeW>!"&7$$"+=C$>6#!#8$"+D'[J%>!"&7$$"+'['[6@!#8$"+R%)eW>!"&7$$"+V2/6@!#8$"+F$\J%>!"&7$$"+)=&f5@!#8$"+T"*eW>!"&7$$"+@)\,6#!#8$"+H+:V>!"&7$$"+TYq4@!#8$"+U)*eW>!"&7$$"*lf#4@!#7$"+H2:V>!"&7$$"+Y[")3@!#8$"+U0fW>!"&7$$"*Bq$3@!#7$"+H9:V>!"&7$$"+,e#z5#!#8$"+T7fW>!"&7$$"*c"[2@!#7$"+F@:V>!"&7$$"+0v.2@!#8$"+R>fW>!"&7$$"+QOf1@!#8$"+DG:V>!"&7$$"+e*\h5#!#8$"+OEfW>!"&7$$"+lkq0@!#8$"+AN:V>!"&7$$"+eJE0@!#8$"+LLfW>!"&7$$"+Q+#[5#!#8$"+=U:V>!"&7$$"+/rP/@!#8$"+GSfW>!"&7$$"+dV$R5#!#8$"+8\:V>!"&7$$"+'z"\.@!#8$"+BZfW>!"&7$$"+A%\I5#!#8$"+3c:V>!"&7$$"+Lsg-@!#8$"+<afW>!"&7$$"*Bl@5#!#7$"+,j:V>!"&7$$"+8Ms,@!#8$"*6'fW>!"%7$$"+#y"G,@!#8$"+%*p:V>!"&7$$"+O.%35#!#8$"+.ofW>!"&7$$"+w!*R+@!#8$"+'odJ%>!"&7$$"+,!e**4#!#8$"+%\(fW>!"&7$$"+6r^*4#!#8$"+x$eJ%>!"&7$$"+1k2*4#!#8$"+%=)fW>!"&7$$"+()ej)4#!#8$"+n!fJ%>!"&7$$"+_b>)4#!#8$"+u))fW>!"&7$$"+-av(4#!#8$"+c(fJ%>!"&7$$"+OaJ(4#!#8$"+j&*fW>!"&7$$"+bc(o4#!#8$"+X/;V>!"&7$$"+fgV'4#!#8$"+^-gW>!"&7$$"+Ym*f4#!#8$"+K6;V>!"&7$$"+=ub&4#!#8$"+Q4gW>!"&7$$"+u$=^4#!#8$"+>=;V>!"&7$$"+9&zY4#!#8$"+D;gW>!"&7$$"+Q3C%4#!#8$"+0D;V>!"&7$$"+XB!Q4#!#8$"*J-Y%>!"%7$$"+OSO$4#!#8$"*>jJ%>!"%7$$"*"f#H4#!#7$"+&*HgW>!"&7$$"+oz[#4#!#8$"+uQ;V>!"&7$$"+4-0#4#!#8$"+zOgW>!"&7$$"+LEh"4#!#8$"+dX;V>!"&7$$"*Cv64#!#7$"+hVgW>!"&7$$"+J!Q24#!#8$"*ClJ%>!"%7$$"+.5I!4#!#8$"+W]gW>!"&7$$"+fT')*3#!#8$"+@f;V>!"&7$$"+(\F%*3#!#8$"+DdgW>!"&7$$"+<5**)3#!#8$"+-m;V>!"&7$$"*sa&)3#!#7$"+0kgW>!"&7$$"+0'=")3#!#8$"+#GnJ%>!"&7$$"+sEo(3#!#8$"+&32Y%>!"&7$$"+@pC(3#!#8$"+hz;V>!"&7$$"+_8"o3#!#8$"+kxgW>!"&7$$"+lfP'3#!#8$"*koJ%>!"%7$$"+f2%f3#!#8$"+T%3Y%>!"&7$$"+Nd]&3#!#8$"+<$pJ%>!"&7$$"+#*32&3#!#8$"+>"4Y%>!"&7$$"+Jij%3#!#8$"+%**pJ%>!"&7$$"+^<?%3#!#8$"+&z4Y%>!"&7$$"+_uw$3#!#8$"*nqJ%>!"%7$$"+LLL$3#!#8$"*Z5Y%>!"%7$$"+'R**G3#!#8$"+X8<V>!"&7$$"+RcY#3#!#8$"+X6hW>!"&7$$"+j?.#3#!#8$"*-sJ%>!"%7$$"+o')f"3#!#8$"+>=hW>!"&7$$"+`a;"3#!#8$"+$psJ%>!"&7$$"+=Ct!3#!#8$"+#\7Y%>!"&7$$"+j&*H!3#!#8$"+lL<V>!"&7$$"+*)o')z?!#8$"+kJhW>!"&7$$"+%RM%z?!#8$"+PS<V>!"&7$$"+z?+z?!#8$"+OQhW>!"&7$$"+W*p&y?!#8$"+3Z<V>!"&7$$"+))z8y?!#8$"+1XhW>!"&7$$"+7iqx?!#8$"+y`<V>!"&7$$"+;YFx?!#8$"+w^hW>!"&7$$"+)>Vo2#!#8$"+Zg<V>!"&7$$"*'>Tw?!#7$"+XehW>!"&7$$"+,4)f2#!#8$"+;n<V>!"&7$$"+@+bv?!#8$"+8lhW>!"&7$$"+>$>^2#!#8$"+%QxJ%>!"&7$$"+(z)ou?!#8$"*=<Y%>!"%7$$"+`%eU2#!#8$"*0yJ%>!"%7$$"+(GGQ2#!#8$"+YyhW>!"&7$$")$)Rt?!#6$"+<(yJ%>!"&7$$"+"\oH2#!#8$"+7&=Y%>!"&7$$"*')QD2#!#7$"+#QzJ%>!"&7$$"+2%4@2#!#8$"+x">Y%>!"&7$$"+L,or?!#8$"+Y+=V>!"&7$$"+O5Dr?!#8$"+T)>Y%>!"&7$$"+;@#32#!#8$"*r!=V>!"%7$$"+vLRq?!#8$"+/0iW>!"&7$$"+6['*p?!#8$"+t8=V>!"&7$$"+Ck`p?!#8$"+n6iW>!"&7$$"+9#3"p?!#8$"+N?=V>!"&7$$"+#=!oo?!#8$"+G=iW>!"&7$$"+FBDo?!#8$"+'p#=V>!"&7$$"+[Y#y1#!#8$"+*[AY%>!"&7$$"+ZrRn?!#8$"+cL=V>!"&7$$"+A)pp1#!#8$"+\JiW>!"&7$$"+uEam?!#8$"+;S=V>!"&7$$"+-d6m?!#8$"+4QiW>!"&7$$"+2*)ol?!#8$"+vY=V>!"&7$$"+)Gi_1#!#8$"+nWiW>!"&7$$"+Ye$[1#!#8$"+L`=V>!"&7$$"+z&4W1#!#8$"+D^iW>!"&7$$"+)[$)R1#!#8$"**f=V>!"%7$$"+tvbj?!#8$"+"yDY%>!"&7$$"+M=8j?!#8$"+Zm=V>!"&7$$"+riqi?!#8$"+PkiW>!"&7$$"+$)3Gi?!#8$"+-t=V>!"&7$$"*nb=1#!#7$"+#4FY%>!"&7$$"+L1Vh?!#8$"+dz=V>!"&7$$"+rd+h?!#8$"+ZxiW>!"&7$$"+%3"eg?!#8$"+6')=V>!"&7$$"+sl:g?!#8$"+,%GY%>!"&7$$"+NAtf?!#8$"+k#*=V>!"&7$$"+s!3$f?!#8$"+a!HY%>!"&7$$"+&3%))e?!#8$"+<**=V>!"&7$$"+s-Ye?!#8$"+1(HY%>!"&7$$"+Lm.e?!#8$"+p0>V>!"&7$$"+pJhd?!#8$"+d.jW>!"&7$$"+z)*=d?!#8$"*A">V>!"%7$$"+jnwc?!#8$"+35jW>!"&7$$"+@QMc?!#8$"*(=>V>!"%7$$"+`5#f0#!#8$"+d;jW>!"&7$$"+e%)\b?!#8$"+>D>V>!"&7$$"+Qg2b?!#8$"+1BjW>!"&7$$"+"z`Y0#!#8$"+oJ>V>!"&7$$"+<<Ba?!#8$"+aHjW>!"&7$$"+<)4Q0#!#8$"+:Q>V>!"&7$$"*4)Q`?!#7$"+-OjW>!"&7$$"+Pl'H0#!#8$"+iW>V>!"&7$$"+c^a_?!#8$"+[UjW>!"&7$$"+[R7_?!#8$"+3^>V>!"&7$$"+8Hq^?!#8$"+%*[jW>!"&7$$"+^?G^?!#8$"+ad>V>!"&7$$"+i8'30#!#8$"+RbjW>!"&7$$"+X3W]?!#8$"+*R'>V>!"&7$$")0-]?!#6$"+%=OY%>!"&7$$"+G.g\?!#8$"+Uq>V>!"&7$$"+G.=\?!#8$"+FojW>!"&7$$")0w[?!#6$"+'o(>V>!"&7$$"+W3M[?!#8$"*ZPY%>!"%7$$"*O@z/#!#7$"+G$)>V>!"&7$$"+[?]Z?!#8$"+7"QY%>!"&7$$"+2H3Z?!#8$"*(*)>V>!"%7$$"+QRmY?!#8$"+`(QY%>!"&7$$"*9Xi/#!#7$"*h*>V>!"%7$$"+9l#e/#!#8$"+$RRY%>!"&7$$"+f!3a/#!#8$"*D+K%>!"%7$$"+v(*)\/#!#8$"+L+kW>!"&7$$"+i;dW?!#8$"+*)3?V>!"&7$$"*s`T/#!#7$"+s1kW>!"&7$$"+\ftV?!#8$"+G:?V>!"&7$$"+\$=L/#!#8$"*JTY%>!"%7$$"+>4!H/#!#8$"+m@?V>!"&7$$"*m$[U?!#7$"+Z>kW>!"&7$$"+rl1U?!#8$"+.G?V>!"&7$$"+`'\;/#!#8$"+%eUY%>!"&7$$"+0HBT?!#8$"+RM?V>!"&7$$"+Fj"3/#!#8$"*AVY%>!"%7$$"+=**RS?!#8$"+uS?V>!"&7$$"*o$)*R?!#7$"+bQkW>!"&7$$"+7wcR?!#8$"+4Z?V>!"&7$$"+8<:R?!#8$"+*[WY%>!"&7$$"+%)ftQ?!#8$"+V`?V>!"&7$$"+C/KQ?!#8$"+B^kW>!"&7$$"+M]!z.#!#8$"+wf?V>!"&7$$"+8)*[P?!#8$"+bdkW>!"&7$$"+hZ2P?!#8$"+4m?V>!"&7$$"+y)fm.#!#8$"+)QYY%>!"&7$$"+k^CO?!#8$"*C2K%>!"%7$$"+>1$e.#!#8$"+>qkW>!"&7$$"+ViTN?!#8$"+ry?V>!"&7$$"+N?+N?!#8$"+\wkW>!"&7$$"+'*zeM?!#8$"+,&3K%>!"&7$$"+DT<M?!#8$"+z#[Y%>!"&7$$"+B/wL?!#8$"+J"4K%>!"&7$$"+*)oML?!#8$"+3*[Y%>!"&7$$"+BN$H.#!#8$"+f(4K%>!"&7$$"+D._K?!#8$"+O&\Y%>!"&7$$"+&H2@.#!#8$"+(Q5K%>!"&7$$"+LWpJ?!#8$"+k,lW>!"&7$$"+R<GJ?!#8$"+95@V>!"&7$$"+7#p3.#!#8$"+"z]Y%>!"&7$$"+`oXI?!#8$"+T;@V>!"&7$$"+hY/I?!#8$"+<9lW>!"&7$$"+OEjH?!#8$"+mA@V>!"&7$$"+z2AH?!#8$"+U?lW>!"&7$$"+*34)G?!#8$"+#*G@V>!"&7$$"+mvRG?!#8$"+nElW>!"&7$$"*@')z-#!#7$"+;N@V>!"&7$$"*-vv-#!#7$"+"H`Y%>!"&7$$"+)*R;F?!#8$"+RT@V>!"&7$$"+TJvE?!#8$"+9RlW>!"&7$$"+_CME?!#8$"+iZ@V>!"&7$$"+H>$f-#!#8$"+OXlW>!"&7$$"+s:_D?!#8$"+%Q:K%>!"&7$$"+"Q6^-#!#8$"+d^lW>!"&7$$"+d8qC?!#8$"+0g@V>!"&7$$"+)\"HC?!#8$"+ydlW>!"&7$$"+0=)Q-#!#8$"+Dm@V>!"&7$$"+yAZB?!#8$"+)RcY%>!"&7$$"+<H1B?!#8$"+Xs@V>!"&7$$"+APlA?!#8$"+=qlW>!"&7$$"+#pWA-#!#8$"+ky@V>!"&7$$"+Fe$=-#!#8$"+OwlW>!"&7$$"+GrU@?!#8$"+$[=K%>!"&7$$"+$f=5-#!#8$"+a#eY%>!"&7$$"+C-h??!#8$")">K%>!"$7$$"*----#!#7$"+r)eY%>!"&7$$"+")Rz>?!#8$"+<(>K%>!"&7$$"+2hQ>?!#8$"+)[fY%>!"&7$$"+(Ry*=?!#8$"+L.AV>!"&7$$"+_3d=?!#8$"+.,mW>!"&7$$"+rM;=?!#8$"+[4AV>!"&7$$"+biv<?!#8$"+>2mW>!"&7$$"+.#\t,#!#8$"+i:AV>!"&7$$"+:B%p,#!#8$"+L8mW>!"&7$$"+#fNl,#!#8$"+x@AV>!"&7$$"+K!Hh,#!#8$"+Y>mW>!"&7$$"+PEs:?!#8$"*zAK%>!"%7$$"+0kJ:?!#8$"+fDmW>!"&7$$"+O."\,#!#8$"+-MAV>!"&7$$"+KW]9?!#8$"+rJmW>!"&7$$"+"p)49?!#8$"+9SAV>!"&7$$"+8Jp8?!#8$"+$yjY%>!"&7$$"+*p(G8?!#8$"+DYAV>!"&7$$"+[C)G,#!#8$"+$RkY%>!"&7$$"*OxC,#!#7$"+N_AV>!"&7$$"+NC27?!#8$"+.]mW>!"&7$$"+swm6?!#8$"+XeAV>!"&7$$"+tIE6?!#8$"+7cmW>!"&7$$"+P'e3,#!#8$"+akAV>!"&7$$"+jVX5?!#8$"+@imW>!"&7$$"+^-05?!#8$"+hqAV>!"&7$$"+-jk4?!#8$"+GomW>!"&7$$"+;DC4?!#8$"+pwAV>!"&7$$"+"*)Q)3?!#8$"+OumW>!"&7$$"+HaV3?!#8$"+v#GK%>!"&7$$"+H@.3?!#8$"+U!oY%>!"&7$$"***Gw+#!#7$"+#))GK%>!"&7$$"+9gA2?!#8$"+Z'oY%>!"&7$$"+*>Bo+#!#8$"+([HK%>!"&7$$"+Y0U1?!#8$"+_#pY%>!"&7$$"+a!=g+#!#8$"+"4IK%>!"&7$$"+Cdh0?!#8$"+c)pY%>!"&7$$"+bN@0?!#8$"+&pIK%>!"&7$$"+[:"[+#!#8$"*YqY%>!"%7$$"+,(4W+#!#8$"+)HJK%>!"&7$$"+;!3S+#!#8$"+j5nW>!"&7$$"+#\1O+#!#8$"+,>BV>!"&7$$"+G^?.?!#8$"+l;nW>!"&7$$"+DR!G+#!#8$"+-DBV>!"&7$$"+$)GS-?!#8$"+mAnW>!"&7$$"+-?+-?!#8$"+/JBV>!"&7$$"+"G,;+#!#8$"+nGnW>!"&7$$"*s+7+#!#7$"+/PBV>!"&7$$"*K+3+#!#7$"+nMnW>!"&7$$"*3+/+#!#7$"+.VBV>!"&7$$"#?!"&$"+mSnW>!"&-%&COLORG6'%$RGBG$")C)eq%!")$""!!""$"('>!\&!")-%+_ATTRIBUTEG6#/%'sourceG%,mathdefaultG-%%VIEWG6$;$""!!""$""#!"#%(DEFAULTG-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$+(!""-%)BOUNDS_YG6#$"#g!""-%-BOUNDS_WIDTHG6#$"%]I!""-%.BOUNDS_HEIGHTG6#$"%+N!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"Ig==</Plot></Text-field>
</Output>
</Group>
<Group view="code" labelreference="L4935" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">#################
# MODEL 2
#################
LST2 := Count2D(ST2,500):</Text-field>
</Input>
</Group>
<Group view="code" labelreference="L4932" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">PR := rectoproc(listtorec(LST2,u(n))[1],u(n)):</Text-field>
</Input>
</Group>
<Group view="code" labelreference="L4943" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="code" hide-input="false" labelreference="L4939" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ASM := (64*(78*3^(1/4)+104+45*3^(3/4)+60*sqrt(3)))*(8*3^(1/4)*(1/3))^n/(3*Pi*n^4)-(64*(78*3^(1/4)-104+45*3^(3/4)-60*sqrt(3)))*(-8*3^(1/4)*(1/3))^n/(3*Pi*n^4)-(64*(104-(78*I)*3^(1/4)-60*sqrt(3)+(45*I)*3^(3/4)))*(-(1/3)*(8*I)*3^(1/4))^n/(3*Pi*n^4)+(64*(-104-(78*I)*3^(1/4)+60*sqrt(3)+(45*I)*3^(3/4)))*((1/3)*(8*I)*3^(1/4))^n/(3*Pi*n^4);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4938" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># These should go to 1 (with quadratic speed in n)
evalf(2*PR(5000)/subs(n=5000,ASM) - PR(2500)/subs(n=2500,ASM));
evalf(2*PR(5002)/subs(n=5002,ASM) - PR(2501)/subs(n=2501,ASM));
evalf(2*PR(5004)/subs(n=5004,ASM) - PR(2502)/subs(n=2502,ASM));
evalf(2*PR(5006)/subs(n=5006,ASM) - PR(2503)/subs(n=2503,ASM));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEtMC45OTg3MTUyMDU4RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEnJnBsdXM7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZHLUYjNiYtRiw2JFEjMC5GJ0YvLUYzNi1RMSZJbnZpc2libGVUaW1lcztGJ0YvRjZGOUY7Rj1GP0ZBRkMvRkZRJjAuMGVtRicvRklGUy1GLDYkUS0mSW1hZ2luYXJ5STtGJ0YvRi9GLw==">LCYkIitlPzooKSoqISM1IiIiKiYkIiIhRilGJl4jRiZGJkYm</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEtMC45OTkyMTcxOTAyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEnJnBsdXM7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZHLUYjNiYtRiw2JFEjMC5GJ0YvLUYzNi1RMSZJbnZpc2libGVUaW1lcztGJ0YvRjZGOUY7Rj1GP0ZBRkMvRkZRJjAuMGVtRicvRklGUy1GLDYkUS0mSW1hZ2luYXJ5STtGJ0YvRi9GLw==">LCYkIistPjwjKioqISM1IiIiKiYkIiIhRilGJl4jRiZGJkYm</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEtMC45OTg2ODIyMjkxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEnJnBsdXM7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZHLUYjNiYtRiw2JFEjMC5GJ0YvLUYzNi1RMSZJbnZpc2libGVUaW1lcztGJ0YvRjZGOUY7Rj1GP0ZBRkMvRkZRJjAuMGVtRicvRklGUy1GLDYkUS0mSW1hZ2luYXJ5STtGJ0YvRi9GLw==">LCYkIisiSEFvKSoqISM1IiIiKiYkIiIhRilGJl4jRiZGJkYm</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEtMC45OTkyNTM2NzQ3RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEnJnBsdXM7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZHLUYjNiYtRiw2JFEjMC5GJ0YvLUYzNi1RMSZJbnZpc2libGVUaW1lcztGJ0YvRjZGOUY7Rj1GP0ZBRkMvRkZRJjAuMGVtRicvRklGUy1GLDYkUS0mSW1hZ2luYXJ5STtGJ0YvRi9GLw==">LCYkIitabmAjKioqISM1IiIiKiYkIiIhRilGJl4jRiZGJkYm</Equation></Text-field>
</Output>
</Group>
<Group view="code" labelreference="L4936" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">#################
# MODEL 3
#################</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" labelreference="L4940" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">LST3 := Count2D(ST3,500):</Text-field>
</Input>
</Group>
<Group view="code" labelreference="L4941" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">PR := rectoproc(listtorec(LST3,u(n))[1],u(n)):</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" labelreference="L4933" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="code" hide-input="false" labelreference="L4952" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># Should be .6884080245
my := 3*y^4+y^3-1:
alias(ys = RootOf(my,y,index=1)): evalf(ys);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEtMC42ODg0MDgwMjQ1RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JCIrWC0zJSlvISM1</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4951" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ASM := (8*ys^3+3*ys^2)^n*(1805111*sqrt(3)*ys+2527386*sqrt(3)*ys^3+1306017*sqrt(3)+2727881*sqrt(3)*ys^2)/(2313*Pi*n^4);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRBU01HRigsJCosIyIiIiIlOEJGMSksJiomIiIpRjEpSSN5c0dGKCIiJEYxRjEqJkY5RjEpRjgiIiNGMUYxSSJuR0YoRjEsKiooIig2XiE9RjEpRjkjRjFGPEYxRjhGMUYxKigiKCdRRkRGMUZBRjFGN0YxRjEqJiIoPGdJIkYxRkFGMUYxKigiKCIpeXMjRjFGQUYxRjtGMUYxRjFJI1BpR0YmISIiKUY9IiIlRkpGMTcjRi4=</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4930" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># This should go to 1 (with quadratic speed in n) - this model is slower so we only do n=1000
evalf(2*PR(1000)/subs(n=1000,ASM) - PR(500)/subs(n=500,ASM));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEtMC45ODkwOTMwMjE3RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JCIrPC0kNCopKiEjNQ==</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" labelreference="L4954" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">#################
# MODEL 4
#################</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" labelreference="L4956" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">LST4 := Count2D(ST4,500):</Text-field>
</Input>
</Group>
<Group view="code" labelreference="L4955" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">PR := rectoproc(listtorec(LST4,u(n))[1],u(n)):</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L4969" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ASM := 2187*(9*4^(1/3)*(1/4))^n*(207*2^(1/3)+264+152*2^(2/3))/(16*Pi*n^5)-(2187*(207*2^(1/3)-528+152*2^(2/3)-(207*I)*2^(1/3)*sqrt(3)+(152*I)*2^(2/3)*sqrt(3)))*exp(-(1/3)*(2*I)*Pi*n)*(-9*2^(2/3)*(I*sqrt(3)+1)*(1/8))^n/(32*Pi*n^5)+(2187*(-207*2^(1/3)+528-152*2^(2/3)-(207*I)*2^(1/3)*sqrt(3)+(152*I)*2^(2/3)*sqrt(3)))*exp((1/3)*(2*I)*Pi*n)*(9*2^(2/3)*(-1+I*sqrt(3))*(1/8))^n/(32*Pi*n^5);
</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L4947" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># These should go to 1 (with quadratic speed in n)
evalf((4*PR(10000)/subs(n=10000,ASM) - PR(2500)/subs(n=2500,ASM))/3);
evalf((4*PR(10004)/subs(n=10004,ASM) - PR(2501)/subs(n=2501,ASM))/3);
evalf((4*PR(10008)/subs(n=10008,ASM) - PR(2502)/subs(n=2502,ASM))/3);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEsMS4wODAyNzM4NzZGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUScmcGx1cztGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkctRiM2Ji1GLDYkUSMwLkYnRi8tRjM2LVExJkludmlzaWJsZVRpbWVzO0YnRi9GNkY5RjtGPUY/RkFGQy9GRlEmMC4wZW1GJy9GSUZTLUYsNiRRLSZJbWFnaW5hcnlJO0YnRi9GL0Yv">LCYkIit3UUYhMyIhIioiIiIqJiQiIiFGKUYmXiNGJkYmRiY=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEtMC45MjQ2MTI3ODMyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEnJnBsdXM7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZHLUYjNiYtRiw2JFEjMC5GJ0YvLUYzNi1RMSZJbnZpc2libGVUaW1lcztGJ0YvRjZGOUY7Rj1GP0ZBRkMvRkZRJjAuMGVtRicvRklGUy1GLDYkUS0mSW1hZ2luYXJ5STtGJ0YvRi9GLw==">LCYkIitLeTdZIyohIzUiIiIqJiQiIiFGKUYmXiNGJkYmRiY=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEtMC45OTk0Mjg1MDE3RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEnJnBsdXM7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZHLUYjNiYtRiw2JFEjMC5GJ0YvLUYzNi1RMSZJbnZpc2libGVUaW1lcztGJ0YvRjZGOUY7Rj1GP0ZBRkMvRkZRJjAuMGVtRicvRklGUy1GLDYkUS0mSW1hZ2luYXJ5STtGJ0YvRi9GLw==">LCYkIis8XUclKioqISM1IiIiKiYkIiIhRilGJl4jRiZGJkYm</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="code" labelreference="L4992" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="code" labelreference="L5011" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="code" labelreference="L5012" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="code" labelreference="L4993" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="code" labelreference="L4994" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="code" labelreference="L4983" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L4927" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L4972" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Worksheet>