<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="2020" minor="2"/>
<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" editable="true">
</View-Properties>
<MapleNet-Properties prettyprint="3" warnlevel="3" compactdisplay="false" preplot="" helpbrowser="standard" 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" historytimestamp="false" screenwidth="79" indentamount="4" plotoutput="terminal" screenpixelheight="1440" rtablesize="[10, 10]" useclientjvm="true" labelwidth="20" postplot="" typesetting="extended" ansi="false" ansicolor="[]" elisiondigitsthreshold="10000" showassumed="1" ansilprint="false" trailingsemicolon="true" 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="presentation" inline-output="false" labelreference="L1" 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="L2" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" bold="true" size="20" layout="Normal" alignment="centred"><Font size="20" bold="true">Quantum Monte Carlo Methods</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L383" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" size="14" layout="Normal" alignment="centred"><Font size="14">Sijia Chen</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L3" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" size="14" layout="Normal" alignment="centred"><Font size="14">University of Chicago</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L4" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L5" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Loading Package</Text-field></Title><Presentation-Block>
<Group view="code" hide-input="false" labelreference="L9" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRMVF1YW50dW1DaGVtaXN0cnlGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI7RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lK2V4ZWN1dGFibGVHRkVGPQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRMVF1YW50dW1DaGVtaXN0cnlGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI7RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lK2V4ZWN1dGFibGVHRkVGPQ==</Equation></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></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L6" 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>
<Group view="code" hide-input="false" labelreference="L10" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnRGlnaXRzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEpJkFzc2lnbjtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzE1RidGOUY5">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSdEaWdpdHNHRigiIzo3I0Yu</Equation></Text-field>
</Output>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L7" 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>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Abstract</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L144" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Understanding many-body quantum systems usually means solving the Schr\303\266dinger equation of a system of many strongly interacting particles. However, there is no analytical solution for most cases. Therefore, numerical approaches are popular in this area. One kind of the famous methods is quantum Monte Carlo. Two sampling schemes based on the Markov chain Monte Carlo introduced in this project are variational Monte Carlo (VMC) and diffusion Monte Carlo (DMC). First, we provide a brief introduction to the important  Metropolis-Hastings algorithm, which is of great importance during simulation. Then, we review in detail the basic idea and principles of VMC and DMC. Throughout this project, we discuss the applications of these two methods to the first row elements and show the importance of decent trial function choices.</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L143" 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><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L145" 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 collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Introduction</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L13" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Quantum effects become to dominant when size of the system of interest is getting smaller and smaller, namely energy is no longer a continuous, but a discrete physical property. It is necessary to use a quantum view to look at microscopic systems which may lead to unusual results, such as the famous blackbody radiation. After a quick development of quantum mechanics in last century, we already have an increasingly deeper understanding of it. In general, we use a language different from classical mechanics to describe the motion and other information of microscopic particles, that is the 'wavefunction' language. The wavefunction itself doesn't have a physical interpretation, however, the square of the wavefunction represents the probability density of the system in a particular state. Thus all information of a system hides behind its wavefunction. It is of priority to solve the wavefunction accurately in quantum mechanics. In order to achieve this goal, we have to write down <Font bold="true" encoding="UTF-8">Schr\303\266dinger equation</Font> first,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L14" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L17" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Font encoding="UTF-8" italic="true">\316\250</Font> is the wavefunction and <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEnJiMyOTI7RicvJSdpdGFsaWNHUSV0cnVlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RIn5GJ0YyL0Y2USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZPRi9GNQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEnJiMyOTI7RicvJSdpdGFsaWNHUSV0cnVlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RIn5GJ0YyL0Y2USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZPRi9GNQ==</Equation>is the Hamiltonian operator of a given system, which is an observable and corresponds to the overall energy of the system, then solve the wavefunction. For simple systems, like hydrogen-like atoms with only one electrons in the orbital, particle-in-a-box, and harmonic oscillators, it it possible to solve the exact wavefunctions for them. However, for many-body systems, such as atoms with more than one electrons, we cannot solve analytical exact solutions for them. The <Font encoding="UTF-8">Schr\303\266dinger equation of a </Font><Font italic="true">N-</Font>electron molecule (or atom) with fixed nuclei (in atomic units) can be written as</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L19" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L22" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiMyOTI7RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiMyOTI7RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==</Equation> is given by</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L23" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L28" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">{<Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Math"></Equation></Text-field>
</Input>
</Group>
<Group view="presentation" inline-output="false" labelreference="L33" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LlEifGhyRicvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHUSZmYWxzZUYnLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRLDAuMTY2NjY2N2VtRicvJSdyc3BhY2VHUSwwLjExMTExMTFlbUYnLyUnaXRhbGljR0YxRi8vRjNRJ2l0YWxpY0Yn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LlEifGhyRicvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHUSZmYWxzZUYnLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRLDAuMTY2NjY2N2VtRicvJSdyc3BhY2VHUSwwLjExMTExMTFlbUYnLyUnaXRhbGljR0YxRi8vRjNRJ2l0YWxpY0Yn</Equation> the spatial positions of the <Font italic="true">N</Font> electrons, <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> = <Equation executable="false" style="Text" input-equation="" display="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">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</Equation> the Laplacian operator for electron <Font italic="true">i</Font> of coordinates <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> , and the potential energy function expressed as </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L25" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group>
<Group view="presentation" inline-output="false" labelreference="L31" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L11" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUYvNiVRI2lqRidGMkY1L0Y2USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEifkYnRj0vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkgvJSlzdHJldGNoeUdGSC8lKnN5bW1ldHJpY0dGSC8lKGxhcmdlb3BHRkgvJS5tb3ZhYmxlbGltaXRzR0ZILyUnYWNjZW50R0ZILyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGVy1GQzYtUSI9RidGPUZGRklGS0ZNRk9GUUZTL0ZWUSwwLjI3Nzc3NzhlbUYnL0ZZRmhuRkItRiM2JS1GLzYjUSFGJy1JKG1mZW5jZWRHRiQ2Ji1GIzYpLUYsNiUtRi82KEYxLyUlYm9sZEdGNC9GM0ZILyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy9GNlElYm9sZEYnLyUrZm9udHdlaWdodEdGX3AtRiM2JC1GLzYmUSJpRidGMkZbcEY1Rj1GPy1GQzYuRkVGW3BGPUZGRklGS0ZNRk9GUUZTRlVGWC1GQzYuUSomdW1pbnVzMDtGJ0ZbcEY9RkZGSUZLRk1GT0ZRRlMvRlZRLDAuMjIyMjIyMmVtRicvRllGXXFGZ3AtRiw2JUZmby1GIzYkLUYvNiZRImpGJ0YyRltwRjVGPUY/RjJGNUY9LyUlb3BlbkdRJiZtaWQ7RicvJSZjbG9zZUdGaHFGPUZcby8lK2V4ZWN1dGFibGVHRkhGPQ==">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</Equation> is the interelectronic distance, <Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiWkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSgmYWxwaGE7RicvRjBRJmZhbHNlRicvRjNRJ25vcm1hbEYnRj0vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiWkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSgmYWxwaGE7RicvRjBRJmZhbHNlRicvRjNRJ25vcm1hbEYnRj0vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==</Equation> the charge of nuleus, <Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiUkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSVtcm93R0YkNiQtRiw2JVEoJmFscGhhO0YnRjIvRjZRJ25vcm1hbEYnRkAvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiUkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSVtcm93R0YkNiQtRiw2JVEoJmFscGhhO0YnRjIvRjZRJ25vcm1hbEYnRkAvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==</Equation> its position, <Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSlpJmFscGhhO0YnRi9GMi9GM1Enbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSlpJmFscGhhO0YnRi9GMi9GM1Enbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==</Equation> = <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> the distance between electron and nucleus, and <Equation executable="true" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUYvNiVRLiZhbHBoYTsmYmV0YTtGJ0YyRjUvRjZRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSJ+RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGSC8lKXN0cmV0Y2h5R0ZILyUqc3ltbWV0cmljR0ZILyUobGFyZ2VvcEdGSC8lLm1vdmFibGVsaW1pdHNHRkgvJSdhY2NlbnRHRkgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZXLUZDNi1RIj1GJ0Y9RkZGSUZLRk1GT0ZRRlMvRlZRLDAuMjc3Nzc3OGVtRicvRllGaG5GQi1GIzYlLUYvNiNRIUYnLUkobWZlbmNlZEdGJDYnLUYjNiktRiw2JS1GLzYoRjEvJSVib2xkR0Y0L0YzRkgvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnL0Y2USVib2xkRicvJStmb250d2VpZ2h0R0ZfcC1GIzYkLUYvNiZRJyYjOTQ1O0YnRjJGW3BGNUY9Rj9GXG8tRkM2LkZFRltwRj1GRkZJRktGTUZPRlFGU0ZVRlgtRkM2LlEqJnVtaW51czA7RidGW3BGPUZGRklGS0ZNRk9GUUZTL0ZWUSwwLjIyMjIyMjJlbUYnL0ZZRl1xRmdwLUYsNiVGZm8tRiM2JC1GLzYmUScmIzk0NjtGJ0YyRltwRjVGPUY/Rj1GW3BGPS8lJW9wZW5HUSYmbWlkO0YnLyUmY2xvc2VHRmhxRj1GXG8vJStleGVjdXRhYmxlR0ZIRj0=</Equation> the internuclear distance. Approximations are needed to give an approximate solution for this system and then we can understand how different parameters impact the system. Nowadays, the most popular and well-established methods are the post-Hartree-Fock approach and Density Functional Theory (DFT). Except for these, numerical approaches become prominent in this area as well. <Font bold="true">Quantum Monte Carlo</Font> (QMC) can be seen as an alternative method which is developed for overcoming the limitations of post-Hartree-Fock and DFT. In recent years, a number of remarkable progresses have been made in QMC, and some of QMC methods have achieve high chemical accuracy. In this project, we shall present the two most popular QMC methods, namely, the variational Monte Carlo (VMC) and the fixed-node diffusion Monte Carlo (FN-DMC) methods. They are both stochastic schemes that can extract important information about the ground state of a many-body system. </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L15" 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>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L12" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Theory<Equation executable="true" style="Heading 1" input-equation="" display="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">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</Equation></Text-field></Title>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 2" layout="Heading 2">Markov Chain Monte Carlo <Equation executable="true" style="Heading 2" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1cEdGJDYlLUkjbWlHRiQ2I1EhRictRiM2Jy1JI21uR0YkNidRIjNGJy8lJXNpemVHUSMxNEYnLyUlYm9sZEdRJmZhbHNlRicvJStleGVjdXRhYmxlR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y7LyUnaXRhbGljR0ZARj4vRkJRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy9GOVEjMTJGJ0Y7Rj5GQQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1cEdGJDYlLUkjbWlHRiQ2I1EhRictRiM2Jy1JI21uR0YkNidRIjNGJy8lJXNpemVHUSMxNEYnLyUlYm9sZEdRJmZhbHNlRicvJStleGVjdXRhYmxlR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y7LyUnaXRhbGljR0ZARj4vRkJRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy9GOVEjMTJGJ0Y7Rj5GQQ==</Equation></Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L74" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">The average of a physical property <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==</Equation> of the system is given by</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L76" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>, </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L39" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==</Equation> is the total number of configurations of <Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiUkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y6LUklbXJvd0dGJDYkLUYsNiVRImlGJy9GM0YxL0Y5USdpdGFsaWNGJy9GOVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiUkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y6LUklbXJvd0dGJDYkLUYsNiVRImlGJy9GM0YxL0Y5USdpdGFsaWNGJy9GOVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==</Equation>, for <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYzLUkjbWlHRiQ2JVEiaUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlNGNS1JI21uR0YkNiRRIjFGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkhGSi9GTlEsMC4zMzMzMzMzZW1GJ0Y1LUZWNiRRIjJGJ0Y5RllGNS1GNjYtUSMuLkYnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJ0ZNLUY2Ni1RIi5GJ0Y5RjtGPkZARkJGREZGRkhGSkZNRllGNS1GLDYlUSJNRidGL0YyLyUrZXhlY3V0YWJsZUdGPUY5">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</Equation>, sampled according to the distribution function <Equation executable="true" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNidRIlJGJy8lJWJvbGRHUSV0cnVlRidGLy9GM1ElYm9sZEYnLyUrZm9udHdlaWdodEdGQS8lK2V4ZWN1dGFibGVHRjFGMkYyLUkjbW9HRiQ2LlEifkYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGZ24tRkc2LlEiPUYnRkpGMkZNRk9GUUZTRlVGV0ZZL0ZmblEsMC4yNzc3Nzc4ZW1GJy9GaW5GXm9GRi1GIzYmLUYsNiNRIUYnLUYjNiVGYm8tSSZtZnJhY0dGJDYoLUYjNiUtRiw2JlEnJiM5MzY7RidGL0ZKRjItSSVtc3VwR0YkNiUtRjY2JS1GIzYlLUYsNihGPEY9Ri9GSkZARkJGREYyRkpGMi1GIzYlLUkjbW5HRiQ2JFEiMkYnRjIvRjBGPy9GM1EnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjItRiM2LC1GRzYtUSsmSW50ZWdyYWw7RidGMkZNRk8vRlJGP0ZTL0ZWRj9GV0ZZRmVuRmhuLUYsNiZRJiZQc2k7RidGL0ZKRjItRmBwNiUtRjY2JS1GIzYkRmZwRjJGSkYyLUYjNiQtRltxNiVGXXFGSkYyRjJGYXEtRkc2LUZJRjJGTUZPRlFGU0ZVRldGWUZlbkZobi1GRzYtUTAmRGlmZmVyZW50aWFsRDtGJ0YyL0ZOUSZ1bnNldEYnL0ZQRl5zL0ZSRl5zL0ZURl5zL0ZWRl5zL0ZYRl5zL0ZaRl5zRmVuRmhuRmZwRl5xLyUrZm9yZWdyb3VuZEdRLFsyMDAsMCwyMDBdRicvJSxwbGFjZWhvbGRlckdGP0ZfcS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGX3QvJSliZXZlbGxlZEdGP0YyRmJvRjJGYm9GREYy</Equation>, where <Equation executable="true" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2KFEiUkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y3">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2KFEiUkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y3</Equation> =  {<Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEickYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y9LUYjNiQtSSNtbkdGJDYlUSIxRidGOC9GPFEnbm9ybWFsRidGRi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LlEiLEYnRjhGRi8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUZMNi5RIn5GJ0Y4RkZGTy9GUkY3RlNGVUZXRllGZW5GZ24vRltvRmluLUZMNi5RIy4uRidGOEZGRk9GYG9GU0ZVRldGWUZlbi9GaG5RLDAuMjIyMjIyMmVtRidGYW8tRkw2LlEiLkYnRjhGRkZPRmBvRlNGVUZXRllGZW5GZ25GYW9GS0Zdby1GLDYlRi4tRiM2JC1GLzYmUSJORicvRjZGNEY4L0Y8USdpdGFsaWNGJ0ZGRkgtRi82I1EhRidGRg==">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</Equation><Equation executable="true" style="2D Math"></Equation></Text-field>
</Input>
</Group>
<Group view="presentation" inline-output="false" labelreference="L77" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="presentation" inline-output="false" labelreference="L79" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="presentation" inline-output="false" labelreference="L78" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEifGhyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSV0cnVlRicvJSpzZXBhcmF0b3JHUSZmYWxzZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMTY2NjY2N2VtRicvJSdyc3BhY2VHUSwwLjExMTExMTFlbUYnLyUnaXRhbGljR0Y0LyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0Y0L0YwUSdpdGFsaWNGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEifGhyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSV0cnVlRicvJSpzZXBhcmF0b3JHUSZmYWxzZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMTY2NjY2N2VtRicvJSdyc3BhY2VHUSwwLjExMTExMTFlbUYnLyUnaXRhbGljR0Y0LyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0Y0L0YwUSdpdGFsaWNGJw==</Equation>. It is a core task in QMC to effectively and accurately simulate the probability density</Text-field>
</Input>
</Group>
<Group view="presentation" inline-output="false" labelreference="L121" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="presentation" inline-output="false" labelreference="L41" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">. However, the probability density is always a high dimensional and complicated expression for a many-body system with strong interactions. Here, we would like to discuss a popular sampling scheme called Markov Chain Monte Carlo (MCMC).</Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 3" layout="Heading 3">Markov Chain</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L45" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Consider a sequence of random variables <Equation executable="false" style="Text" input-equation="" display="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">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</Equation>, defined on a finite state space <Font encoding="UTF-8" italic="true">\317\207</Font>. This sequence is called a <Font bold="true">Markov chain</Font> if it satisfies the <Font italic="true">Markov property</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L46" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L52" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">that is, the value of <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> is dependent on its history only through its nearest past, <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjotRiM2JS1GLzYjUSFGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYvNiZRInRGJy9GNkY0LyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy9GOVEnaXRhbGljRicvRjlRJ25vcm1hbEYnRlBGUC8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGP0ZQ">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjotRiM2JS1GLzYjUSFGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYvNiZRInRGJy9GNkY0LyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy9GOVEnaXRhbGljRicvRjlRJ25vcm1hbEYnRlBGUC8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGP0ZQ</Equation>. When is a finite set with dimension , we could use a transition matrix <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiNRIUYnRjJGNS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GNlEnbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiNRIUYnRjJGNS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GNlEnbm9ybWFsRic=</Equation> to represent this Markov chain, where <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> represents the 1-step probability of transition from state <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiaUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiaUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==</Equation> to state <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiakYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiakYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==</Equation>. And the n-step transition function of a Markov chain can be denoted as </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L54" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L47" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Therefore, we could write down the distribution at time <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==</Equation> according to the initial distribution <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiUtRiM2JC1JJW1zdXBHRiQ2JS1GLDYoUSJ4RicvJSVib2xkR0YxL0YwUSZmYWxzZUYnRjIvRjZRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkgtRiM2JS1GLDYjUSFGJy1GOTYlLUYjNiQtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGWEYyRlhGWC8lMXN1cGVyc2NyaXB0c2hpZnRHRldGWEYyRlhGWA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiUtRiM2JC1JJW1zdXBHRiQ2JS1GLDYoUSJ4RicvJSVib2xkR0YxL0YwUSZmYWxzZUYnRjIvRjZRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkgtRiM2JS1GLDYjUSFGJy1GOTYlLUYjNiQtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGWEYyRlhGWC8lMXN1cGVyc2NyaXB0c2hpZnRHRldGWEYyRlhGWA==</Equation> and transition matrix <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JUYrLUklbXN1cEdGJDYlLUYsNiVRIkFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JS1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInRGJ0Y3RjpGN0Y6L0Y7USdub3JtYWxGJ0Y3RjovJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRkdGKy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnRkc=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JUYrLUklbXN1cEdGJDYlLUYsNiVRIkFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JS1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInRGJ0Y3RjpGN0Y6L0Y7USdub3JtYWxGJ0Y3RjovJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRkdGKy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnRkc=</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L50" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L38" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 3" layout="Heading 3">Metropolis-Hastings Algorithm</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L57" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">MCMC mainly uses the property of stationary distribution for some Markov chains. These Markov chain moves have to be both evolutionary oriented (good ones live and bad ones die) and reversible (satisfying the detailed balance). The typical algorithm in MCMC are Metropolis algorithm and Metropolis-Hastings algorithm. Here we introduce the Metropolis-Hasting algorithm. Given target distribution <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2JS1GLDYnUSJ4RicvJSVib2xkR1EldHJ1ZUYnRi8vRjZRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkQvJStleGVjdXRhYmxlR0YxRjVGNUZHRjU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2JS1GLDYnUSJ4RicvJSVib2xkR1EldHJ1ZUYnRi8vRjZRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkQvJStleGVjdXRhYmxlR0YxRjVGNUZHRjU=</Equation> and current state <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSVtc3VwR0YkNiUtRiw2I1EhRictRiM2JS1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInRGJy9GM0YxL0Y2USdpdGFsaWNGJ0ZKRksvRjZRJ25vcm1hbEYnRkpGSy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRicvJStleGVjdXRhYmxlR0Y0Rk0=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSVtc3VwR0YkNiUtRiw2I1EhRictRiM2JS1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInRGJy9GM0YxL0Y2USdpdGFsaWNGJ0ZKRksvRjZRJ25vcm1hbEYnRkpGSy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRicvJStleGVjdXRhYmxlR0Y0Rk0=</Equation>:</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L61" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">(i) Propose a random &quot;unbiased perturbation&quot; of current state so to generate a new configuration <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSNtb0dGJDYtUSInRicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRicvJStleGVjdXRhYmxlR0Y0Rj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSNtb0dGJDYtUSInRicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRicvJStleGVjdXRhYmxlR0Y0Rj4=</Equation>. Mathematically, <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSNtb0dGJDYtUSInRicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRicvJStleGVjdXRhYmxlR0Y0Rj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSNtb0dGJDYtUSInRicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRicvJStleGVjdXRhYmxlR0Y0Rj4=</Equation> can be generated from a unsymmetrical probability transition function (often called the proposal function) <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>(i.e., <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEiVEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYpLUYsNihRInhGJy8lJWJvbGRHRjEvRjBRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnL0YzUSVib2xkRicvJStmb250d2VpZ2h0R0ZFLUklbXN1cEdGJDYlLUYsNiNRIUYnLUYjNiQtRjY2JS1GIzYkLUYsNiZRInRGJ0YvRkFGMi9GM1Enbm9ybWFsRidGQUZXRlcvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEiLEYnRlcvJSZmZW5jZUdGQC8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GZ242LVEifkYnRldGam4vRl1vRkBGXm9GYG9GYm9GZG9GZm9GaG8vRlxwRmpvRjotRmduNi5RIidGJ0ZBRldGam5GYXBGXm9GYG9GYm9GZG9GZm8vRmlvUSwwLjExMTExMTFlbUYnRmJwRldGVy1GZ242LkZgcEZBRldGam5GYXBGXm9GYG9GYm9GZG9GZm9GaG9GYnAtRmduNi5RJSZuZTtGJ0ZBRldGam5GYXBGXm9GYG9GYm9GZG9GZm8vRmlvUSwwLjI3Nzc3NzhlbUYnL0ZccEZecUZocC1GLDYmRi5GL0ZBRjItRjY2JS1GIzYoRjpGY3AtRmduNi5GaW5GQUZXRmpuRlxvRl5vRmBvRmJvRmRvRmZvRmhvRltwRmhwLUZJNiVGOkZORllGV0ZBRldGVw==">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</Equation>) ; if the transition function is symmetric, then it is reduced to Metropolis algorithm. </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L63" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">(ii) Draw <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiVUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSJ8aXJGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMTExMTExMWVtRicvRk5GU0Y1LyUrZXhlY3V0YWJsZUdGPUY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiVUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSJ8aXJGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMTExMTExMWVtRicvRk5GU0Y1LyUrZXhlY3V0YWJsZUdGPUY5</Equation>Uniform[0, 1], and update</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L59" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation> <Equation executable="true" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXN1cEdGJDYlLUkjbWlHRiQ2KFEieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y9LUYjNiQtSShtZmVuY2VkR0YkNiUtRiM2Ji1GLzYmUSJ0RicvRjZGNEY4L0Y8USdpdGFsaWNGJy1JI21vR0YkNi5RIitGJ0Y4L0Y8USdub3JtYWxGJy8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRl1vLUkjbW5HRiQ2JVEiMUYnRjhGUUZRRjhGUUZRLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1GTjYuUSJ+RidGOEZRRlNGVUZXRllGZW5GZ25GaW4vRlxvUSYwLjBlbUYnL0Zfb0ZbcC1GTjYuUSI9RidGOEZRRlNGVUZXRllGZW5GZ25GaW4vRlxvUSwwLjI3Nzc3NzhlbUYnL0Zfb0ZhcEZnby1GIzYnLUYvNiNRIUYnLUZONi1RInxmckYnRlEvRlRGNEZVL0ZYRjRGWUZlbkZnbkZpbi9GXG9RLDAuMTY2NjY2N2VtRicvRl9vRl5xLUknbXRhYmxlR0YkNjYtSSRtdHJHRiQ2Jy1JJG10ZEdGJDYoLUYjNiZGZXBGLi1GTjYuUSInRidGOEZRRlNGVUZXRllGZW5GZ25GaW4vRlxvUSwwLjExMTExMTFlbUYnRlxwRlEvJSlyb3dhbGlnbkdGZ3AvJSxjb2x1bW5hbGlnbkdGZ3AvJStncm91cGFsaWduR0ZncC8lKHJvd3NwYW5HRmNvLyUrY29sdW1uc3BhbkdGY28tRmdxNigtRiM2Ky1GTjYuUSNpZkYnL0YzRjdGUUZTRlVGV0ZZRmVuRmduRmluRmpvRlxwLUZONi5GaW8vJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0ZRRlNGVUZXRllGZW5GZ25GaW5Gam9GXHAtRi82JlEiVUYnRkpGOEZLRmdvLUZONi5RJiZsZXE7RidGOEZRRlNGVUZXRllGZW5GZ25GaW5GYHBGYnBGZ28tRi82JlEickYnRkpGOEZLLUZDNiUtRiM2KUYuLUYsNiVGZXAtRiM2JC1GQzYlLUYjNiRGR0ZRRjhGUUZRRmRvLUZONi5RIixGJ0Y4RlFGUy9GVkY0RldGWUZlbkZnbkZpbkZqby9GX29RLDAuMzMzMzMzM2VtRidGZ29GLkZbckZRRjhGUUZRRmByRmJyRmRyRmZyRmhyRmByRmJyRmRyLUZkcTYnLUZncTYoLUYjNiZGZXAtRiM2JUYuRmR0RlFGZXBGUUZgckZickZkckZmckZoci1GZ3E2KC1GIzYlLUYvNiVRKm90aGVyd2lzZUYnRjVGUS1GTjYtUSIuRidGUUZTRlVGV0ZZRmVuRmduRmluRmpvRlxwRlFGYHJGYnJGZHJGZnJGaHJGYHJGYnJGZHIvJSZhbGlnbkdRJWF4aXNGJy9GYXJRKWJhc2VsaW5lRicvRmNyUSdjZW50ZXJGJy9GZXJRJ3xmcmxlZnR8aHJGJy8lL2FsaWdubWVudHNjb3BlR0Y0LyUsY29sdW1ud2lkdGhHUSVhdXRvRicvJSZ3aWR0aEdGYXcvJStyb3dzcGFjaW5nR1EmMS4wZXhGJy8lLmNvbHVtbnNwYWNpbmdHUSYwLjhlbUYnLyUpcm93bGluZXNHUSVub25lRicvJSxjb2x1bW5saW5lc0dGXHgvJSZmcmFtZUdGXHgvJS1mcmFtZXNwYWNpbmdHUSwwLjRlbX4wLjVleEYnLyUqZXF1YWxyb3dzR0Y3LyUtZXF1YWxjb2x1bW5zR0Y3LyUtZGlzcGxheXN0eWxlR0Y3LyUlc2lkZUdRJnJpZ2h0RicvJTBtaW5sYWJlbHNwYWNpbmdHRml3RmVwRlFGZXBGUQ==</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L58" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where Metropolis and Hastings suggested using</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L65" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L66" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">(iii) After sufficient times iteration of (i) and (ii), the Markov chain will converge to the target distribution <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2JS1GLDYnUSJ4RicvJSVib2xkR1EldHJ1ZUYnRi8vRjZRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkQvJStleGVjdXRhYmxlR0YxRjVGNUZHRjU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2JS1GLDYnUSJ4RicvJSVib2xkR1EldHJ1ZUYnRi8vRjZRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkQvJStleGVjdXRhYmxlR0YxRjVGNUZHRjU=</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L56" 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>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L37" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 2" layout="Heading 2">Variational Monte Carlo</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L87" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 3" layout="Heading 3">Variational Principle</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L90" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">As we mentioned before, it is almost impossible to find out an analytical or exact solution of the <Font encoding="UTF-8">Schr\303\266dinger equation of a system with more than two particles. Therefore, it is inevitable to introduce approximations into the systems when solving the equation. Considering a trial function </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5MzQ7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNidRIlJGJy8lJWJvbGRHUSV0cnVlRidGLy9GM1ElYm9sZEYnLyUrZm9udHdlaWdodEdGQS8lK2V4ZWN1dGFibGVHRjFGMkYyLUYsNiNRIUYnRkRGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5MzQ7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNidRIlJGJy8lJWJvbGRHUSV0cnVlRidGLy9GM1ElYm9sZEYnLyUrZm9udHdlaWdodEdGQS8lK2V4ZWN1dGFibGVHRjFGMkYyLUYsNiNRIUYnRkRGMg==</Equation> with some underdetermined parameters or functions, <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NDU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUYvNiVRImlGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y9Rj8vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy8lK2V4ZWN1dGFibGVHRjRGNQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NDU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUYvNiVRImlGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y9Rj8vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy8lK2V4ZWN1dGFibGVHRjRGNQ==</Equation> that are waiting to be optimized, variational principle tells us that,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L91" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L92" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1JI21uR0YkNiRRIjBGJy9GM1Enbm9ybWFsRidGPC8lL3N1YnNjcmlwdHNoaWZ0R0Y7">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1JI21uR0YkNiRRIjBGJy9GM1Enbm9ybWFsRidGPC8lL3N1YnNjcmlwdHNoaWZ0R0Y7</Equation> is the ground-state energy of the system. We denote the eigenstates of <Equation executable="true" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEnJiMyOTI7RicvJSdpdGFsaWNHUSV0cnVlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEnJiMyOTI7RicvJSdpdGFsaWNHUSV0cnVlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==</Equation> as <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5MzY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUYvNiVRIm5GJy9GM0Y3L0Y5USdpdGFsaWNGJ0ZARkEvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy8lK2V4ZWN1dGFibGVHRjRGOA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5MzY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUYvNiVRIm5GJy9GM0Y3L0Y5USdpdGFsaWNGJ0ZARkEvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy8lK2V4ZWN1dGFibGVHRjRGOA==</Equation>, which form a complete basis set. So we can expand arbitrary function <Equation executable="true" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==</Equation> as a linear combination of <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L95" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L96" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">It is easy to verify the variational principle if we substitute the expansion for <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JS1GIzYkLUYsNihRIlJGJy8lJWJvbGRHUSV0cnVlRidGL0YyL0Y2USVib2xkRicvJStmb250d2VpZ2h0R0ZERjVGMkY1RjU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JS1GIzYkLUYsNihRIlJGJy8lJWJvbGRHUSV0cnVlRidGL0YyL0Y2USVib2xkRicvJStmb250d2VpZ2h0R0ZERjVGMkY1RjU=</Equation> into the expectation value with the fact that <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> for <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI+RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlNGNS1JI21uR0YkNiRRIjBGJ0Y5LyUrZXhlY3V0YWJsZUdGPUY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI+RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlNGNS1JI21uR0YkNiRRIjBGJ0Y5LyUrZXhlY3V0YWJsZUdGPUY5</Equation> and <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>; namely,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L97" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2Ji1GIzYkLUklbXN1YkdGJDYlLUYsNiZRJyYjOTQ1O0YnL0YwUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy9GM1Enbm9ybWFsRictRiM2JC1GLDYmUSJpRidGL0ZCRjJGRS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRkVGRS8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJy1JI21vR0YkNi5RIn5GJy8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdGMUZFLyUmZmVuY2VHRkEvJSpzZXBhcmF0b3JHRkEvJSlzdHJldGNoeUdGQS8lKnN5bW1ldHJpY0dGQS8lKGxhcmdlb3BHRkEvJS5tb3ZhYmxlbGltaXRzR0ZBLyUnYWNjZW50R0ZBLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGZW8tRlY2LlEiPUYnRllGRUZlbkZnbkZpbkZbb0Zdb0Zfb0Zhby9GZG9RLDAuMjc3Nzc3OGVtRicvRmdvRlxwRlUtSSZtZnJhY0dGJDYoLUYjNiYtRiw2I1EhRictRiM2Ji1JK211bmRlcm92ZXJHRiQ2Jy1GVjYuUSYmU3VtO0YnRkJGRS9GZm5RJnVuc2V0RicvRmhuRl9xL0ZqbkYxL0Zcb0ZfcS9GXm9GMS9GYG9GMS9GYm9GX3FGY28vRmdvUSwwLjE2NjY2NjdlbUYnLUYjNiYtRiw2JlEibkYnRi9GQkYyLUZWNi5Gam9GQkZFRmVuRmduRmluRltvRl1vRl9vRmFvRltwRl1wLUkjbW5HRiQ2JUZORkJGRUZFLUYjNiQtRlY2LlEoJmluZmluO0YnRkJGRUZlbkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zmb0ZFRmFvLyUsYWNjZW50dW5kZXJHRkEtSShtc3Vic3VwR0YkNictRiw2JlEiYUYnRi9GQkYyLUYjNiRGanFGRS1GIzYlLUZWNi5GWEZCRkVGZW5GZ25GaW5GW29GXW9GX29GYW9GY29GZm8tRmByNiVRIjJGJ0ZCRkVGRS8lMXN1cGVyc2NyaXB0c2hpZnRHRk5GTC1GOzYlLUYsNiZGLkYvRkJGMkZfc0ZMRkVGY3BGRS1GIzYlRmhwLUZqcjYnLUYsNiVGXnNGL0YyLUYjNiUtRiw2JUZcckYvRjJGL0YyLUYjNiYtRlY2LUZYRkVGZW5GZ25GaW5GW29GXW9GX29GYW9GY29GZm8tRmByNiRGZ3NGRUYvRjJGaHNGTEZFLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZjdS8lKWJldmVsbGVkR0ZBLUZWNi1RJiZnZXE7RidGRUZlbkZnbkZpbkZbb0Zdb0Zfb0Zhb0ZbcEZdcC1GOzYlRistRiM2JC1GYHI2JEZORkVGRUZMRkU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2Ji1GIzYkLUklbXN1YkdGJDYlLUYsNiZRJyYjOTQ1O0YnL0YwUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy9GM1Enbm9ybWFsRictRiM2JC1GLDYmUSJpRidGL0ZCRjJGRS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRkVGRS8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJy1JI21vR0YkNi5RIn5GJy8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdGMUZFLyUmZmVuY2VHRkEvJSpzZXBhcmF0b3JHRkEvJSlzdHJldGNoeUdGQS8lKnN5bW1ldHJpY0dGQS8lKGxhcmdlb3BHRkEvJS5tb3ZhYmxlbGltaXRzR0ZBLyUnYWNjZW50R0ZBLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGZW8tRlY2LlEiPUYnRllGRUZlbkZnbkZpbkZbb0Zdb0Zfb0Zhby9GZG9RLDAuMjc3Nzc3OGVtRicvRmdvRlxwRlUtSSZtZnJhY0dGJDYoLUYjNiYtRiw2I1EhRictRiM2Ji1JK211bmRlcm92ZXJHRiQ2Jy1GVjYuUSYmU3VtO0YnRkJGRS9GZm5RJnVuc2V0RicvRmhuRl9xL0ZqbkYxL0Zcb0ZfcS9GXm9GMS9GYG9GMS9GYm9GX3FGY28vRmdvUSwwLjE2NjY2NjdlbUYnLUYjNiYtRiw2JlEibkYnRi9GQkYyLUZWNi5Gam9GQkZFRmVuRmduRmluRltvRl1vRl9vRmFvRltwRl1wLUkjbW5HRiQ2JUZORkJGRUZFLUYjNiQtRlY2LlEoJmluZmluO0YnRkJGRUZlbkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zjb0Zmb0ZFRmFvLyUsYWNjZW50dW5kZXJHRkEtSShtc3Vic3VwR0YkNictRiw2JlEiYUYnRi9GQkYyLUYjNiRGanFGRS1GIzYlLUZWNi5GWEZCRkVGZW5GZ25GaW5GW29GXW9GX29GYW9GY29GZm8tRmByNiVRIjJGJ0ZCRkVGRS8lMXN1cGVyc2NyaXB0c2hpZnRHRk5GTC1GOzYlLUYsNiZGLkYvRkJGMkZfc0ZMRkVGY3BGRS1GIzYlRmhwLUZqcjYnLUYsNiVGXnNGL0YyLUYjNiUtRiw2JUZcckYvRjJGL0YyLUYjNiYtRlY2LUZYRkVGZW5GZ25GaW5GW29GXW9GX29GYW9GY29GZm8tRmByNiRGZ3NGRUYvRjJGaHNGTEZFLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZjdS8lKWJldmVsbGVkR0ZBLUZWNi1RJiZnZXE7RidGRUZlbkZnbkZpbkZbb0Zdb0Zfb0Zhb0ZbcEZdcC1GOzYlRistRiM2JC1GYHI2JEZORkVGRUZMRkU=</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L89" 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>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L72" 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>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 3" layout="Heading 3">The Metropolis Step</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L98" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">When the system is continuous, we can express the expectation value in the form of an integral</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L101" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L102" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L103" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L104" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">is the distribution function for the system and</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L105" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L106" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">can be viewed as a local energy, a physical quantity of the system at configuration <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiUkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjcvJStleGVjdXRhYmxlR0Y0L0Y2USdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiUkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjcvJStleGVjdXRhYmxlR0Y0L0Y2USdub3JtYWxGJw==</Equation>. According to above discussion, we could use Metropolis-Hasting algorithm to sample the distribution function and give the expectation value <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNictRiM2JS1JJW1zdWJHRiQ2JS1GLDYmUSgmYWxwaGE7RicvRjBRJmZhbHNlRidGMi9GNlEnbm9ybWFsRictRiM2JC1GLDYmUSJpRidGL0YyRjVGRS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYsNiNRIUYnRkVGMkZFLyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRkU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNictRiM2JS1JJW1zdWJHRiQ2JS1GLDYmUSgmYWxwaGE7RicvRjBRJmZhbHNlRidGMi9GNlEnbm9ybWFsRictRiM2JC1GLDYmUSJpRidGL0YyRjVGRS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYsNiNRIUYnRkVGMkZFLyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRkU=</Equation>. If the variational wavefunction <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JS1GIzYkLUYsNihRIlJGJy8lJWJvbGRHUSV0cnVlRidGL0YyL0Y2USVib2xkRicvJStmb250d2VpZ2h0R0ZERjVGMkY1RjU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JS1GIzYkLUYsNihRIlJGJy8lJWJvbGRHUSV0cnVlRidGL0YyL0Y2USVib2xkRicvJStmb250d2VpZ2h0R0ZERjVGMkY1RjU=</Equation> is relatively simple with only a small number of parameters, we can optimize these parameters by varying them in the simulation. However, if the form of the wavefunction is more complicated, we should use the Euler-Lagrange equation</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L107" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L108" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">for <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYzLUkjbWlHRiQ2JVEiakYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlNGNS1JI21uR0YkNiRRIjFGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkhGSi9GTlEsMC4zMzMzMzMzZW1GJ0Y1LUZWNiRRIjJGJ0Y5RllGNS1GVjYkUSIzRidGOUZZRjUtRjY2LVEjLi5GJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRidGTS1GNjYtUSIuRidGOUY7Rj5GQEZCRkRGRkZIRkpGTS8lK2V4ZWN1dGFibGVHRj1GOQ==">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</Equation>, to optimize the wavefunction.</Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L99" 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>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 3" layout="Heading 3">Trial Wavefunction</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L112" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">The core task in VMC is to find a decent trial wavefunction. A common choice for trial wavefunctions is of the Slater-Jastrow (SJ) form,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L114" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYuLUkjbWlHRiQ2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JS1GIzYkLUYsNihRIlJGJy8lJWJvbGRHUSV0cnVlRidGL0YyL0Y2USVib2xkRicvJStmb250d2VpZ2h0R0ZERjVGMkY1LUkjbW9HRiQ2LVEifkYnRjUvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0Zlbi1GSDYtUSI9RidGNUZLRk1GT0ZRRlNGVUZXL0ZaUSwwLjI3Nzc3NzhlbUYnL0ZnbkZcb0ZHLUYsNiVRIkpGJy9GMEZCL0Y2USdpdGFsaWNGJy1GOTYkLUYjNiVGPS8lK2V4ZWN1dGFibGVHRjFGNUY1LUYsNiVRIkRGJ0YvRjVGZG8tRiw2I1EhRidGaG9GNQ==</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L115" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiREYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYoUSJSRicvJSVib2xkR1EldHJ1ZUYnRi8vJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnL0YzUSVib2xkRicvJStmb250d2VpZ2h0R0ZERjJGMi1GLDYjUSFGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiREYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYoUSJSRicvJSVib2xkR1EldHJ1ZUYnRi8vJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnL0YzUSVib2xkRicvJStmb250d2VpZ2h0R0ZERjJGMi1GLDYjUSFGJ0Yy</Equation> is a constant for boson systems and a Slater determinant of single-particle orbitals for fermion systems, and <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNihRIlJGJy8lJWJvbGRHRjEvRjBRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnL0YzUSVib2xkRicvJStmb250d2VpZ2h0R0ZFL0YzUSdub3JtYWxGJ0ZILUYsNiNRIUYnRkg=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNihRIlJGJy8lJWJvbGRHRjEvRjBRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnL0YzUSVib2xkRicvJStmb250d2VpZ2h0R0ZFL0YzUSdub3JtYWxGJ0ZILUYsNiNRIUYnRkg=</Equation> is the Jastrow correlation term with the form of</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L116" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNihRIlJGJy8lJWJvbGRHRjEvRjBRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnL0YzUSVib2xkRicvJStmb250d2VpZ2h0R0ZFL0YzUSdub3JtYWxGJ0ZILUYsNiNRIUYnRkg=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNihRIlJGJy8lJWJvbGRHRjEvRjBRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnL0YzUSVib2xkRicvJStmb250d2VpZ2h0R0ZFL0YzUSdub3JtYWxGJ0ZILUYsNiNRIUYnRkg=</Equation> = <Equation executable="false" style="Text" input-equation="" display="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">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L117" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L118" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L119" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">which is usually truncated at the two-body terms in most Monte Carlo simulations.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L110" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L111" 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>
</Section>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 2" layout="Heading 2">Diffusion Monte Carlo</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L109" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Sometimes, we don't have enough information to design a decent trial wavefunction in VMC, which is a main handicap of improving the performance of VMC. Therefore we urgently need a new method which allows us simulate a many-body system with only limited knowledge. Fortunately, a method called fixed-node diffusion Monte Carlo (FNDMC) method has been discovered and developed in the past decades. FNDMC is a stochastic scheme that can extract important information about the ground state of a many-body system. The method maps the <Font encoding="UTF-8">Schr\303\266dinger equation to a diffusion equation under an imaginary-time transformation and allow the system to evolve toward its ground state over the evolution of time. In principle, it enables us to get the exact solution of the ground state.</Font></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 3" layout="Heading 3">Basic idea</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L120" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">In above sections, we only talked about the time-independent <Font encoding="UTF-8">Schr\303\266dinger equation. Now, let's consider the time-dependent Schr\303\266dinger equation</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L122" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L126" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">We can map the time-dependent <Font encoding="UTF-8">Schr\303\266dinger equation into a diffusion equation with imaginary-time as</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L127" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYvLUkmbWZyYWNHRiQ2KC1JI21vR0YkNi5RKyZQYXJ0aWFsRDtGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZ1bnNldEYnLyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHRjovJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y6LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkktRiM2Ji1GLzYuRjFGMkY1L0Y5USZmYWxzZUYnL0Y8RlEvRj5GUS9GQEZRL0ZCRlEvRkRGUS9GRkZRRkdGSi1GLzYuUSJ+RidGMkY1RlBGUkZTRlRGVUZWRldGR0ZKLUkjbWlHRiQ2JlEnJiM5NjQ7RicvJSdpdGFsaWNHRlFGMkY1RjUvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmBvLyUpYmV2ZWxsZWRHRlEtRmZuNidRJiZQc2k7RidGaW4vJStleGVjdXRhYmxlR0ZRRjJGNS1JKG1mZW5jZWRHRiQ2Ji1GIzYnLUZmbjYpUSJSRicvJSVib2xkR1EldHJ1ZUYnRmluRmhvRjIvRjZRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRmZwLUYvNi9RIixGJ0Zob0YyRjVGUC9GPEZkcEZTRlRGVUZWRldGRy9GS1EsMC4zMzMzMzMzZW1GJy1GLzYvRlpGaG9GMkY1RlBGUkZTRlRGVUZWRldGR0ZKLUZmbjYnRmhuRmluRmhvRjJGNUY1RmhvRjJGNS1GLzYtRlpGNUZQRlJGU0ZURlVGVkZXRkdGSi1GLzYtUSI9RidGNUZQRlJGU0ZURlVGVkZXL0ZIUSwwLjI3Nzc3NzhlbUYnL0ZLRmlxRmNxLUYvNi1RKiZ1bWludXMwO0YnRjVGUEZSRlNGVEZVRlZGVy9GSFEsMC4yMjIyMjIyZW1GJy9GS0Zfci1GW3A2JC1GIzYqLUZmbjYlUSJIRicvRmpuRmRwL0Y2USdpdGFsaWNGJ0ZjcUZbckZjcS1JJW1zdWJHRiQ2JS1GZm42JVEiRUYnRmhyRmlyLUYjNictRmZuNiVGYXBGaHJGaXJGaHIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJy8lLHBsYWNlaG9sZGVyR0ZkcEZpci8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRmNxRmhvRjVGNS1GZm42I1EhRictRiM2JUZlby1GW3A2Ji1GIzYnRl9wRmlwRl9xLUZmbjYnUSYmdGF1O0YnRmluRmhvRjJGNUY1RmhvRjJGNUY1Rl10RmhvRjU=">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L128" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSJSRidGL0YyL0YzUSdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSJSRidGL0YyL0YzUSdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn</Equation> is a reference energy that and can be viewed as the zero point of the system's energy at the given moment and the imaginary time <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>. This is a simple first-order homogeneous linear differential equation and we can solve the answer as</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L129" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L130" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">if we start from an initial state <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L133" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Let's consider an arbitrary trial function which can be expanded as a linear combination of the eigenfunctions of the Hamiltonian,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L131" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"> <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>, </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L134" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">so that the imaginary time evolution of this function can be expressed as</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L135" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L136" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Since all the other states' energies are greater than the ground state energy, the exponential part for <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJSZuZTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5LyUrZXhlY3V0YWJsZUdGPUY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJSZuZTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5LyUrZXhlY3V0YWJsZUdGPUY5</Equation> vanishes quickly. Therefore, after long enough time, only the ground state part leaves, which allows us to get the 'exact' ground state. </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L327" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">In practice, to make a more efficient simulation of the original time-dependent equation, we introduce a trial wavefunction <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5MzY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUYvNiVRInRGJy9GM0Y3L0Y5USdpdGFsaWNGJ0ZARkEvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy8lK2V4ZWN1dGFibGVHRjRGOA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5MzY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUYvNiVRInRGJy9GM0Y3L0Y5USdpdGFsaWNGJ0ZARkEvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy8lK2V4ZWN1dGFibGVHRjRGOA==</Equation> (usually optimized by VMC) and define a new time-dependent density</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L325" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L328" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">to realize importance sampling. </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L331" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">We can easily derive that this time-dependent density satisfies</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L329" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> ,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L332" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JC1GLzYmUSJMRidGMkY1RjgvRjlRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiUtRiM2JC1GLzYoUSJSRicvJSVib2xkR0Y0L0YzUSZmYWxzZUYnRjUvRjlRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRlJGQEY1RkBGQA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JC1GLzYmUSJMRidGMkY1RjgvRjlRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiUtRiM2JC1GLzYoUSJSRicvJSVib2xkR0Y0L0YzUSZmYWxzZUYnRjUvRjlRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRlJGQEY1RkBGQA==</Equation> is the local energy, <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==</Equation> is a forward Fokker-Planck operator defined as</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L333" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>, </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L334" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">and <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiYkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJSRidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQkZC">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiYkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJSRidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQkZC</Equation> the drift vector is given by</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L335" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L336" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Using imaginary-time propagator <Equation executable="true" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==</Equation>, we could describe the evolution of the density during a time interval <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEnJiM5NjQ7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSInRidGMkY1LyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRidGMkY1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEnJiM5NjQ7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSInRidGMkY1LyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRidGMkY1</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L339" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L340" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Equation executable="true" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==</Equation> is defined as </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L341" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L342" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">For a small enough time-step, we could split the exponential operator into a product of exponentials by using Baker-Campbell-Hausdorff formulas</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L343" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L344" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">and introduce a short-time Gaussian approximation of the propagator</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L345" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiktSSNtaUdGJDYoUSJSRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj8tSSNtb0dGJDYwUSIsRidGNEY6Rj1GQC8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR0Y2LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUZDNjBRIn5GJ0Y0RjpGPUZARkYvRklGOUZKRkxGTkZQRlJGVC9GWEZWLUklbXN1cEdGJDYlLUZDNi5RLyZFeHBvbmVudGlhbEU7RidGOi9GPlEnbm9ybWFsRicvRkdRJnVuc2V0RicvRklGYm8vRktGYm8vRk1GYm8vRk9GYm8vRlFGYm8vRlNGYm9GVC9GWFEsMC4xMTExMTExZW1GJy1GIzYlLUYxNiZRKCYjOTY0O0xGJy9GOEY2RjovRj5RJ2l0YWxpY0YnLUZDNi5GZm5GOkZfb0ZGRmduRkpGTEZORlBGUkZURmhuRl9vLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YwLUZDNjBRIidGJ0Y0RjpGPUZARkZGZ25GSkZMRk5GUEZSL0ZVRmpvRmhuRl9vRl9vRl9v</Equation><Font encoding="UTF-8">\342\211\210</Font><Equation executable="false" style="Text" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L348" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">By this approximation, we could obtain and sample accurate approximations of  <Equation executable="true" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==</Equation>, and it could be written as</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L346" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JS1GLzYlUSRETUNGJ0YyRjhGMkY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiUtRiM2Ki1GLzYoUSJSRicvJSVib2xkR0Y0L0YzUSZmYWxzZUYnRjUvRjlRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRlAtSSNtb0dGJDYuUSIsRidGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGTi8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0ZOLyUqc3ltbWV0cmljR0ZOLyUobGFyZ2VvcEdGTi8lLm1vdmFibGVsaW1pdHNHRk4vJSdhY2NlbnRHRk4vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJ0ZILUZUNjBRIidGJ0ZLRjVGT0ZRRlkvRmZuRk5GZ25GaW5GW29GXW9GX28vRmJvUSwwLjExMTExMTFlbUYnL0Zlb0Zjby1GVDYvRlZGMkY1RjhGWUZlbkZnbkZpbkZbb0Zdb0Zfb0Zhb0Zkby1GVDYvUSJ+RidGMkY1RjhGWUZqb0ZnbkZpbkZbb0Zdb0Zfb0Zhb0ZdcC1GLzYmUScmIzk2NDtGJ0ZNRjVGV0ZXRjVGVy1GVDYuRmJwRjVGV0ZZRmpvRmduRmluRltvRl1vRl9vRmFvRl1wLUZUNi5RKSZhcHByb3g7RidGNUZXRllGam9GZ25GaW5GW29GXW9GX28vRmJvUSwwLjI3Nzc3NzhlbUYnL0Zlb0ZccUZmcC1GIzYoLUklbXN1cEdGJDYlLUZENiUtRiM2JS1JJm1mcmFjR0YkNigtRiM2Ki1JI21uR0YkNiVRIjFGJ0Y1RldGMi8lK2ZvcmVncm91bmRHUStbMCwxNjAsODBdRicvJStleGVjdXRhYmxlR0ZOLyUscGxhY2Vob2xkZXJHRjQvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRjQvRjZRJVRleHRGJ0Y4LUYjNiktRi82I1EhRictRiM2J0Zdcy1JJm1zcXJ0R0YkNiMtRiM2KC1GXXI2JVEiMkYnRjVGV0ZmcC1GLzYmUS0mIzk2MDsmIzk2NDtGJ0YyRjVGOEZjckZpckZXRmNyRmlyRldGXXNGMkZjckZpckY4LyUubGluZXRoaWNrbmVzc0dGX3IvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGYXQvJSliZXZlbGxlZEdGTkZjckZXRjVGVy1GIzYpLUZdcjYlUSIzRidGNUZXRmZwLUYvNiZRIk5GJ0YyRjVGOEYyRmNyRmlyRjgvJTFzdXBlcnNjcmlwdHNoaWZ0R0ZCRmZwLUZhcTYlLUZUNi5RLyZFeHBvbmVudGlhbEU7RidGNUZXL0ZaUSZ1bnNldEYnL0ZmbkZmdS9GaG5GZnUvRmpuRmZ1L0Zcb0ZmdS9GXm9GZnUvRmBvRmZ1RmFvL0Zlb0ZccC1GIzYsLUZUNi5RKiZ1bWludXMwO0YnRjVGV0ZZRmpvRmduRmluRltvRl1vRl9vL0Zib1EsMC4yMjIyMjIyZW1GJy9GZW9GZHYtRiM2J0Zdcy1GaHE2KC1GIzYpRl1zLUYjNilGXXNGXXMtRiM2J0Zdcy1GRDYlLUYjNjFGSEZnby1GVDYwRmJwRktGNUZPRlFGWUZqb0ZnbkZpbkZbb0Zdb0Zfb0Zhb0ZdcC1GVDYwRmJ2RktGNUZPRlFGWUZqb0ZnbkZpbkZbb0Zdb0Zfb0ZjdkZldkZIRmR3RmZ3RmR3RmNwLUYjNiUtRi82KFEiYkYnRktGTUY1Rk9GUS1GRDYlLUYjNiRGSEZXRjVGV0ZXRmR3RjJGY3JGaXJGOEY1RldGY3JGaXJGVy1GYXE2JUZdcy1GIzYpRmdzRjIvRmFyUSxbMjAwLDAsMjAwXUYnRmNyRmVyRmlyRjhGXnVGY3JGaXJGV0Zdc0YyRmNyRmlyRjgtRiM2KUZnc0ZmcC1GLzYmRmVwRjJGNUY4RjJGY3JGaXJGOEZddEZfdEZidEZkdEZjckZpckZXRl1zRjJGYHJGY3JGZXJGZ3JGaXJGOEZedUZjckZpckZXRl1zRlc=">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</Equation> <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L123" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L69" 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>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 3" layout="Heading 3">Fixed-Node Approximation</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L139" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">In general computation, we assume that the trial functions are always of the same sign, namely, they don't have any nodes. This is the case for ground state of a Bosonic system, and for some simple Fermionic systems. However, for a more common ferminoic system, there are always nodes in the wave function, since we always choose antisymmetric trial function. The positive and negative weights cancel out with statistical noise which would give <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JUYrLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JUY0LyUnaXRhbGljR1EldHJ1ZUYnL0Y5USdpdGFsaWNGJy8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGRy8lKWJldmVsbGVkR0Y/RjhGKy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnRjg=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JUYrLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JUY0LyUnaXRhbGljR1EldHJ1ZUYnL0Y5USdpdGFsaWNGJy8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGRy8lKWJldmVsbGVkR0Y/RjhGKy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnRjg=</Equation> during calculation. Besides, <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EmJlBzaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSV0cnVlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUkjbW5HRiQ2JVEiMEYnRjhGO0Y7LyUvc3Vic2NyaXB0c2hpZnRHRkMtSShtZmVuY2VkR0YkNiUtRiM2JC1GLzYoUSJSRicvJSVib2xkR0Y3RjJGOC9GPFElYm9sZEYnLyUrZm9udHdlaWdodEdGUUY7RjhGO0Y7">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EmJlBzaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSV0cnVlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUkjbW5HRiQ2JVEiMEYnRjhGO0Y7LyUvc3Vic2NyaXB0c2hpZnRHRkMtSShtZmVuY2VkR0YkNiUtRiM2JC1GLzYoUSJSRicvJSVib2xkR0Y3RjJGOC9GPFElYm9sZEYnLyUrZm9udHdlaWdodEdGUUY7RjhGO0Y7</Equation> and <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> are equally good solutions of the <Font encoding="UTF-8">Schr\303\266dinger equation, the algorithm would sample both with same probability, resulting in the cancellation of positive and negative weights again. These two problems are the famous </Font><Font italic="true">Fermionic sign problem</Font>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L140" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">To avoid the sign problem in DMC, scientists have introduced fix-node (FN) approximation into DMC. By fixing its nodes to be the same as those of the trial function during convergence, it is possible for us to avoid the sign problem. In order to achieve this goal, we can define the FN Hamiltonian, <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRI0ZORidGMkY1RjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRI0ZORidGMkY1RjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn</Equation>, by adding to true Hamiltonian infinite potential barriers at the location of the nodes of <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JS1GIzYkLUYsNihRIlJGJy8lJWJvbGRHUSV0cnVlRidGL0YyL0Y2USVib2xkRicvJStmb250d2VpZ2h0R0ZERjVGMkY1RjU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JS1GIzYkLUYsNihRIlJGJy8lJWJvbGRHUSV0cnVlRidGL0YyL0Y2USVib2xkRicvJStmb250d2VpZ2h0R0ZERjVGMkY1RjU=</Equation>. And the ground state wavefunction of <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRI0ZORidGMkY1RjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRI0ZORidGMkY1RjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn</Equation> is called the FN wavefunction  <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5MzY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUYvNiVRI0ZORicvRjNGNy9GOVEnaXRhbGljRidGQEZBLyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvJStleGVjdXRhYmxlR0Y0Rjg=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5MzY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUYvNiVRI0ZORicvRjNGNy9GOVEnaXRhbGljRidGQEZBLyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvJStleGVjdXRhYmxlR0Y0Rjg=</Equation> and its energy is the FN energy <Equation executable="false" style="Text" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRI0ZORidGMkY1RjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0Y2USdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRI0ZORidGMkY1RjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0Y2USdub3JtYWxGJw==</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L141" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L142" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">If the nodes of <Equation executable="true" style="2D Math" input-equation="" display="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">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EmJlBzaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSV0cnVlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JJW1yb3dHRiQ2JS1GLDYmUSNGTkYnL0YwRjRGNS9GOVEnaXRhbGljRictSSNtb0dGJDYuUSJ+RidGNUY4LyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGWEY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRic=</Equation> is not the exact nodes of true wavefunction, a fixed-node error is introduced. So, the choice of nodes is important for FNDMC.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L137" 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><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L138" 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><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L70" 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>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L35" 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>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Applications<Equation executable="true" style="Heading 1" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRicvJSVzaXplR1EjMTRGJy8lJWJvbGRHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L82" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">The choice of trial functions has great impact on the performance of VMC and FNDMC. Brown et al. <Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2I1EhRictRiM2JS1JI21uR0YkNiRRIjRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSdpdGFsaWNHUSV0cnVlRicvRjlRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lJXNpemVHUSMxNEYnRjg=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2I1EhRictRiM2JS1JI21uR0YkNiRRIjRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSdpdGFsaWNHUSV0cnVlRicvRjlRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lJXNpemVHUSMxNEYnRjg=</Equation> compared four different forms of trial functions, which are single-determinant SJ wavefunction, a single-determinant SJ wavefunction with backflow (BF), multiple determinants (MD), and both together (MDBF). The multi-configuration state functions (multi-CSF) SJ wavefunction with BF formations can be written in the form</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L147" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L372" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where each <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> results from the backflow transformation of the electronic coordinates <Equation executable="true" style="2D Math" input-equation="" display="LUkobWZlbmNlZEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXJvd0dGJDYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EickYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj0tRiw2JC1GMjYlUSJpRicvRjlGNy9GPFEnaXRhbGljRicvRjxRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRjI2I1EhRidGSEZILyUlb3BlbkdRInxmckYnLyUmY2xvc2VHUSJ8aHJGJw==">LUkobWZlbmNlZEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXJvd0dGJDYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EickYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj0tRiw2JC1GMjYlUSJpRicvRjlGNy9GPFEnaXRhbGljRicvRjxRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRjI2I1EhRidGSEZILyUlb3BlbkdRInxmckYnLyUmY2xvc2VHUSJ8aHJGJw==</Equation>, each <Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUklbXJvd0dGJDYkLUYsNiVRIm5GJy9GMEY0L0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRic=">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUklbXJvd0dGJDYkLUYsNiVRIm5GJy9GMEY0L0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRic=</Equation> is a multideterminant representation of a CSF, and <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation> are the optimize wavefunction parameters: the CSF coefficients <Equation executable="true" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2J1EiYUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjQ=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2J1EiYUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjQ=</Equation>, the Jastrow parameters <Equation executable="true" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2J1EiYkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjQ=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2J1EiYkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjQ=</Equation>, and the backflow parameters <Equation executable="true" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2J1EiY0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjQ=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2J1EiY0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjQ=</Equation>. </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L356" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">In this work, the authors used Jastrow factors containing up to three-body terms, namely electron-electron (<Font italic="true">e-e</Font>), electron-nucleus (<Font italic="true">e-n</Font>), and electron-electron-nucleus (<Font italic="true">e-e-n</Font>) terms,  and the same for backflow transformations. The backflow displacement for electron-electron terms can be described as</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L361" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L362" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSJlRidGL0YyL0YzUSdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSJlRidGL0YyL0YzUSdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn</Equation> is the number of electrons. Similarly, the <Font italic="true">e-n</Font> contributions is of the form </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L363" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L366" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSJuRidGL0YyL0YzUSdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSJuRidGL0YyL0YzUSdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn</Equation> is the number of nuclei. And <Font italic="true">e-e-n</Font> terms looks like</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L367" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>,</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L368" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">where <Equation executable="true" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkobXN1YnN1cEdGJDYnLUkjbWlHRiQ2JlEmJlBoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNiQtRi82JVEiaUYnL0YzRjcvRjlRJ2l0YWxpY0YnRjgtRiM2JC1GLzYlUSNqSUYnRkBGQUY4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lL3N1YnNjcmlwdHNoaWZ0R0ZKLUkjbW9HRiQ2LlEifkYnRjVGOC8lJmZlbmNlR0Y0LyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRltvLUZONi5RIj1GJ0Y1RjhGUUZTRlVGV0ZZRmVuRmduL0ZqblEsMC4yNzc3Nzc4ZW1GJy9GXW9GYm9GTS1JJW1zdXBHRiQ2JS1GLzYmUScmIzkzNDtGJ0YyRjVGOC1GIzYlLUYvNiVRIklGJ0ZARkFGQEZBRkgtSShtZmVuY2VkR0YkNiUtRiM2Ky1JJW1zdWJHRiQ2JS1GLzYmUSJyRidGQC8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RidGQS1GIzYlLUYvNiZRI2lqRidGQEZqcEZBRkBGQUZLLUZONi1RIixGJ0Y4RlEvRlRGN0ZVRldGWUZlbkZnbkZpbi9GXW9RLDAuMzMzMzMzM2VtRictRk42LUZQRjhGUUZTRlVGV0ZZRmVuRmduRmluRlxvLUZlcDYlRmdwLUYjNiQtRi82JlEjaUlGJ0ZARmpwRkFGOEZLLUZONi5GZHFGanBGOEZRRmVxRlVGV0ZZRmVuRmduRmluRmZxLUZONi5GUEZqcEY4RlFGU0ZVRldGWUZlbkZnbkZpbkZcby1GZXA2JUZncC1GIzYkLUYvNiZGR0ZARmpwRkFGOEZLRkBGQUZARkFGOA==</Equation> and <Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation><Font encoding="UTF-8">. The total backflow displacement is the sum of these three terms\357\274\214 </Font><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L374" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L148" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Here are the results for the ground state energies (in Hartrees) of the first row atoms (The DMC2-MDBF results are for a second DMC run with half the time step of DMC-MDBF):</Text-field>
</Input>
</Group></Presentation-Block><Table visible="true" editable="true" exterior="all" pagebreak="cell" showlabel="true" title="" plotalignlists="" hiddenborderdisplay="worksheet" interior="group" postexecute="insert" drawcaption="false" width="100%" captionalignment="0" showinput="true" captionposition="1" id="Table 1. The VMC and " alignment="left" randomized="false" labelreference="L150" showgroup="true" order="row"><Table-Column weight="105" separator="true"></Table-Column><Table-Column weight="95" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="99" separator="true"></Table-Column><Table-Column weight="101" separator="true"></Table-Column><Table-Column weight="101" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L152" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L153" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjTGlGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjTGlGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L154" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjQmVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjQmVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L155" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiQkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiQkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L156" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L157" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L158" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiT0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiT0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L159" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L160" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjTmVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjTmVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L161" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">VMC</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L162" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3NkYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzgzRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3NkYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzgzRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L163" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42MzFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIxRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42MzFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIxRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L164" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42MDVGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI2RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42MDVGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI2RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L165" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44MTRGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44MTRGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L166" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41NDhGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41NDhGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L167" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wMjNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIzRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wMjNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIzRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L168" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS42ODdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI0RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS42ODdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI0RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L169" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTA0RidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiN0YnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTA0RidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiN0YnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L170" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">VMC-BF</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L171" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3N0YnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzkyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3N0YnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzkyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L172" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NDJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI2RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NDJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI2RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L173" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42MzdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42MzdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L174" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44MzFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI1RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44MzFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI1RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L175" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41NzdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI2RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41NzdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI2RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L176" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNTJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNTJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L177" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MThGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MThGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L178" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTI2RidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiM0YnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTI2RidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiM0YnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L179" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">VMC-MD</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L180" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3N0YnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzUyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3N0YnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzUyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L181" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjZGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMzMEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjZGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMzMEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L182" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NTBGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM1NUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NTBGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM1NUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L183" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44MzhGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIzRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44MzhGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIzRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L184" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41NzhGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41NzhGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L185" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNDJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI5RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNDJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI5RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L186" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MDVGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI0RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MDVGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI0RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L187" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTIwRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiNkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTIwRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiNkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L188" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">VMC-MDBF</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L189" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3N0YnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzk5RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3N0YnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzk5RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L190" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMxNkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMxNkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L191" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NTJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM1NEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NTJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM1NEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L192" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44NDFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM5OUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44NDFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM5OUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L193" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODRGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIwRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODRGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIwRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L194" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNTZGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI2RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNTZGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI2RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L195" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MjJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIwRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MjJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIwRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L196" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTI0RidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiNkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTI0RidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiNkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L197" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">DMC</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L198" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzAyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzAyRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L199" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NTdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMxN0YnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NTdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMxN0YnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L200" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42MzlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM3OEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42MzlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM3OEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L201" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44MjlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI1RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44MjlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI1RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L202" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41NzZGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI5RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41NzZGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI5RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L203" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNTFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI2RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNTFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI2RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L204" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MTZGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MTZGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L205" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTIyRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiM0YnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTIyRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiM0YnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L206" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">DMC-BF</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L207" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRJDA0MkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRJDA0MkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L208" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NThGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMxMUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NThGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMxMUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L209" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NDVGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM0OEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NDVGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM0OEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L210" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44MzdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMwOUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44MzdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMwOUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L211" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODJGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L212" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNThGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI0RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNThGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI0RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L213" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MjRGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI4RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MjRGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI4RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L214" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTMyRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiMUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTMyRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiMUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L215" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">DMC-MD</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L216" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzAwRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRIzAwRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L217" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMyOUYnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMyOUYnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L218" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NTNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMyNUYnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NTNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMyNUYnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L219" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44NDNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMxN0YnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44NDNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMxN0YnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L220" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODVGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODVGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L221" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNTdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI4RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNTdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI4RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L222" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MjNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MjNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L223" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTMwRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiN0YnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTMwRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiN0YnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L224" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">DMC-MDBF</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L225" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRJDA2MEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRJDA2MEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L226" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQzMjhGJ0YvLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQzMjhGJ0YvLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L227" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NTNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM2MkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NTNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM2MkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L228" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44NDNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM4OEYnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44NDNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM4OEYnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L229" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIzRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIzRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L230" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNjFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI1RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNjFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI1RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L231" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L232" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTMzRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiOUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTMzRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiOUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L233" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">DMC2-MDBF</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L234" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRJDA1OEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRJDA1OEYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L235" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQzMTlGJ0YvLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQzMTlGJ0YvLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L236" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NTNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM1N0YnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC42NTNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM1N0YnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L237" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44NDNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM4NUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44NDNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSM4NUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L238" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIzRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIzRidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L239" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNjFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNjFGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI3RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L240" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI0RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI0RidGLy8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L241" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTMzRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiOUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTMzRidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiOUYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L242" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRI0hGRicvRjNRJmZhbHNlRicvRjZRJ25vcm1hbEYnRjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLyUrZXhlY3V0YWJsZUdGPkY/">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRI0hGRicvRjNRJmZhbHNlRicvRjZRJ25vcm1hbEYnRjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLyUrZXhlY3V0YWJsZUdGPkY/</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L243" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQzMkYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRJDcyN0YnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQzMkYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRJDcyN0YnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L244" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC41NzNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQwMjNGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC41NzNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQwMjNGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L245" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC41MjlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQwNjFGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScyNC41MjlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQwNjFGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L246" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy42ODhGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQ2MTlGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy42ODhGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQ2MTlGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L247" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC40MDBGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQ5MzRGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC40MDBGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQ5MzRGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L248" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NC44MDlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQzOThGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NC44MDlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQzOThGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L249" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS40MDlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQzNDlGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS40MDlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSQzNDlGJ0YvRkovJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L250" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguNTQ3RidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEkMDk4RidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguNTQ3RidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEkMDk4RidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L251" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="Text" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRJmV4YWN0RicvRjNRJmZhbHNlRicvRjZRJ25vcm1hbEYnRjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRj8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRJmV4YWN0RicvRjNRJmZhbHNlRicvRjZRJ25vcm1hbEYnRjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRj8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L252" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRJDA2MEYnRi9GSi1GRzYkUSMzMkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSY3LjQ3OEYnRi8tRiw2LVEifkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUZHNiRRJDA2MEYnRi9GSi1GRzYkUSMzMkYnRi8vJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L253" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMzNkYnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUScxNC42NjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSMzNkYnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L254" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L255" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44NDVGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIwRidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSczNy44NDVGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIwRidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L256" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIyRidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc1NC41ODlGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIyRidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L257" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIzRidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc3NS4wNjdGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSIzRidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L258" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MzNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI5RidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSc5OS43MzNGJ0YvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRJjAuMGVtRicvRkVGTi1GRzYkUSI5RidGL0ZKLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L259" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTM3RidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiNkYnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSgxMjguOTM3RidGLy1GLDYtUSJ+RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFRk4tRkc2JFEiNkYnRi9GSi8lK2V4ZWN1dGFibGVHRjRGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L260" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L261" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW5HRiQ2JFEmMC4wNDVGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDMzM0YnRi9GMi1GLDYkUSMzMkYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW5HRiQ2JFEmMC4wNDVGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDMzM0YnRi9GMi1GLDYkUSMzMkYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L262" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4wOTRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDMzN0YnRi8vJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4wOTRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDMzN0YnRi8vJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L263" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JVEmMC4xMjRGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LlEifkYnRi9GMi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOy8lKXN0cmV0Y2h5R0Y7LyUqc3ltbWV0cmljR0Y7LyUobGFyZ2VvcEdGOy8lLm1vdmFibGVsaW1pdHNHRjsvJSdhY2NlbnRHRjsvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZKLUYsNiVRJDg0OUYnRi9GMi8lK2V4ZWN1dGFibGVHRjtGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JVEmMC4xMjRGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LlEifkYnRi9GMi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOy8lKXN0cmV0Y2h5R0Y7LyUqc3ltbWV0cmljR0Y7LyUobGFyZ2VvcEdGOy8lLm1vdmFibGVsaW1pdHNHRjsvJSdhY2NlbnRHRjsvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZKLUYsNiVRJDg0OUYnRi9GMi8lK2V4ZWN1dGFibGVHRjtGMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L264" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4xNTZGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDM4MUYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4xNTZGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDM4MUYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L265" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4xODhGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDI2NkYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4xODhGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDI2NkYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L266" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4yNTdGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDkwMkYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4yNTdGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDkwMkYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L267" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4zMjRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDU1MUYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4zMjRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDU1MUYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L268" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4zOTBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDUwMkYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmMC4zOTBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYsNiRRJDUwMkYnRi8vJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L269" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">DMC2 corr%</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L270" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTkuOTk1RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTkuOTk1RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L271" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTkuOTU3RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTkuOTU3RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L272" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTkuNzNGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTkuNzNGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L273" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTkuMjZGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTkuMjZGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L274" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTguOTlGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTguOTlGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L275" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTcuODNGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTcuODNGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L276" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTguMDBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTguMDBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L277" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTkuMDVGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEmOTkuMDVGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGLw==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L352" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Table 1.</Font> The VMC and DMC energies for each atom. Also shown are the Hartree-Fock single-determinant energies <Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSNIRkYnRi9GMi9GM1Enbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYlUSNIRkYnRi9GMi9GM1Enbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==</Equation><Font encoding="UTF-8">, the \342\200\234exact\342\200\235 energies </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYmUSZleGFjdEYnL0YwUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy9GM1Enbm9ybWFsRidGQC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2JC1GLDYmUSZleGFjdEYnL0YwUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy9GM1Enbm9ybWFsRidGQC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn</Equation>, the correlation energies <Equation executable="true" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUYvNiVRI0hGRidGMkY1L0Y2USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEqJnVtaW51czA7RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGSC8lKXN0cmV0Y2h5R0ZILyUqc3ltbWV0cmljR0ZILyUobGFyZ2VvcEdGSC8lLm1vdmFibGVsaW1pdHNHRkgvJSdhY2NlbnRHRkgvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZXLUYsNiVGLi1GIzYkLUYvNiZRJmV4YWN0RicvRjNGSC8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RidGPUY9Rj9GPQ==</Equation>, and the percentage of the correlation energy recovered by the DMC2-MDBF calculations (DMC2 corr%). Reprinted from <Font encoding="UTF-8">M. D. Brown, J. R. Trail, P. L\303\263pez R\303\255os, and R. J. Needs, &quot;Energies of the first row atoms from quantum Monte Carlo,&quot; J. Chem. Phys. </Font><Font bold="true">126</Font>, 224110 (2007), with the permission of AIP Publishing.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L380" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L377" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Image height="530" width="740" zoomable="false" labelreference="L4" drawcaption="false" captionalignment="0" captionposition="1">MFNWtKUb<ob<R=MDLCdNVZbM;pV>D:;rFiHq?^ZRLCTJcDXoHuuw;sVCITWWcYOwVyHYIiMsX<qvZgt`egnOssKF>kDLCS<MHR=x:]B=sSjyFRSV<GDv[W=gxF?djCr:Ghk_SPKHLkHZ;d>OHe_gGOujSimWhMwVhMwVixHetsWtmKDP;eOQxA[wxsiwiugIwhoghogdowxqscwwVWrrsvjYy^CXVSGDOHyUrqiY=AH<?FJiXWoYUgs`mFMGgPUg?OR[[C=eTOExQSC]qBXgba?H@Awx?g@?GD?xJctCghSmd?exJiFVsrkgWUoSVwY?]mOQvspncMv@pnc]t<QYwpmEivjpJVYjQLk_@tK]uZ]SNAr\\DUNHkp\\rdxNTAJ\\ul@\\TCHOhPNq`PB<xQeknET@]pKFhbnpOFhPW\\Rny`YnF`oGomZ@bdvqlOZ;`wwFuePpiGjUPxQgcHpptOdg?s\\Hesh_qajgH_bniGN_dvmHn_H?hS@yoPe?WdCg^O`dLGc_fLwyygvI;B@KF<qSxECHWFduR^ccbguoeU<usr]dj[h\\cBqGxQscpKE<[eK;fA=gGwV[KWA]UHaFBSgOQWREF\\oX>uvRmEIOfl@LvDKPmkbhMEAv@av^an:MtGqN\\pXduKOMjaLvKuUDDvxaTLES_dlNMTC[l_t?WywWgJOp<>jZOmGQ[FQ]Zi[=AqaqmuoZ@nZtVauFxI_b[A`Iq`IOjyOvs@[fH\\YYtY@_BhuCNy]@lof]_@efn^a@^Dys`Wpr?[U>b?>slpkA@sVxuPqt@XaCQeIhc\\V\\uN_@>egnlAQykQn\\HuLQmeHcm`_QpnWA\\^W^ayu]`yeN^eo_bQdo@\\uO]LQbfwphi^uvnQGstV^?_tipnPvuyQjbHpVVg`x^]N\\jFp<IndNvIfmHpj\\xjWfs;FptI^@WtParxWjEidQFuqaxr?_l?nnolpYgdFo^PLJ;XyvDSZ<QSPtayM<OypXuhWioYoYgyCycxOxgwguW]K_eL^vG@jU@yj>[;I\\CW\\wnrqiycHocHpkHpcIwc_oGFjrndlphgQef>jA@[kYviNrk_rYqmaIm`Hk?Ak>Xjrxy:Ij=Vr=Yrro\\xqlEifVyi`ImaOvc>ihfeQV]:g[PgnZgvZHgcaoDg^O`dL[NklyuY<q]lW`TtoDXQ]JNllUAKoXmGqvuquqqQ>iv>qV;=tF@TUDvlLRv]Q?`SoaRqtNm=yhhUupWshvPXmimqs=Wb=KEHNJtoOQWrxyoxowewoytYuuMYt=tsppt]LWalXuLnpIxkIxIhYfYVYqypypAtJADSE@rP`vmIyEqOu`w=uMtAt<ijEDk]qmVXSaLKTpKSHt_DswlWSat?UVb`m`dKiaOPtYo@SNiOpepRYTJaNUTQTxtUTx@yRceMBeOhyqD]Q?=wNmJRLpYxvtYSOXYZmq=ujVLLUYLtxmgdSjQlDqKkTme<uL]M_yMdDXbPTp\\TdDo^P<R;WYESFkmcZMmTMLBlSlUygypiuuxhqwhqWTKZ\\VaLwsMvGPOjTPaAKiHL:UviAuRAuaxQwIwUpWtHK^dN@DRyDnp]lipYoYoElLf<QwaxMyOr@v<LPYXvc\\VyxSHiyhyXyXY=iKq<ll<R``XEQpjpjitYsYsrxv>XLH=qpQueERl`vKdsMDjX@ju<xnMT_PlDM?PCPxy>hA?kV@lKYlb?`h`linikYkrhaxnaH@bSa`G_ZGA[`H[rX\\chmf@vryvgxpXQiWihQi]t^hB^^]hylXshVq`Qme?h=Fvrndl?yjIveyoypyUvurqrwvxVYtSIuC?rWFduWnKAs`WpMWdMwdVGh?ycyOyMOtAN_OPsypyeyq\\^xA_`ygtOwd[itKVq]gyi`i_Y_UQuTA\\oX^rxbvpkaNlPIrBQceVe_PchVakQowFiAooFph\\@_n_dnfpDirKPjCWZ[VbYAo^wvON]:?tTQ\\uixROuFXd=xwiHmJQfWOjfgwVG[_w]Dxe]np`WaONZcId:WymNqbidly]Zpy`V[wHcyyrdOtaafIxcCpwc`nLPCJ?lwgDN^pkl=xZIr[Iv[]jHAKJyXiquwimiaYayjy\\y[mNMHWpTmBTnKtoMDrW@sdlmaITRxLDtwrIqIiYh=Xj=LEANXuY]YMYAqlevDMXmdwgiwwtwvXxx@x?xOVqXUiWupXgQuthXeIyaymIET\\=LxXNrqMTLMtavatQC@oWtOkEw_xlxhvgtW;YppdWTajtAJ<PX>iyYPyNynxxxwxwGmSHmy?yUvirAxQvIV>qwmiPGDpgHwcaoDeNO`Dd<dvyxQjuSRUvq`ulUsuxuwqWZTPp`kEqkbIMKUQBMjD<S\\dSlmL?Ij[hQBTqYDY^IL>\\uBPoY]y\\yLYtYvIxCXLdukN\\um]wkxrHuSIUNJtRJmuSIuCELf=xVYrAxKYAY]ikrHjbyy_yOyEykurWtRaQlgyy^YlImUwPYoqywYyYlYrIvymyayYxPydYokQL>]n[\\VI@KXilgIpr`jiYxRQw`]S`qUO]y\\yq:XjCANFXKTHrayK=TLpiuRyJ_Lk;eTFLPWTmJtrK`kLUn^pNqyUgDjjppAEMYmxPPo;]KDhNRuw[DUGiVSLXh<sBAYx<n>pQdeY`@TQTRs]rIHqh@wTtmM=rblOG]NIPMcuLaPlDM?E[H@cB>hx@lbIvyxn[>dvwua^qH_cRNvTXl]P_KQejw[XaaPVbf`c>^hDQsnF`kFx;x[v?ff_gfGx\\irq^ujWrSvfVHlbVZ>?kqgeQVkw@w?w_tawawauYrYnyjWsPh_Qoesg^KWueixtqpgWujPevYxGwgtWtSyfYhkG>nO>jZ>[BP\\MxsaydgPeohH`v^av]ykylq`esTTtntmMDqlIYnLLjiqBATNqLSQj<XKdMkdDlvUK\\ysHXn<@xJyN^HsKuj:TP]@vCHV><ow]nVLyYEOkPLc<oWDqm@LuhvcMMyQKDXkJMq:xrk=SHxndPnpPYXLUXPokUsceTFerrlSuAQO`TLOCNxUH[?vaF?i_>`i^isyiA>vHx`p`isQxQaq`i`XxvKol_^j`ykxNybYdIga?GfVFwHIkgV`Y^uIpkHP^dpb^iaxnaxGs_vl:a_KomFPvrhc;iuIHa`A]>GvuqxgYqmqsuvoxPyd?l[ff@pj@p=kYROrTaGSMh>sgBwd`?TkAYhkT<=ivUv@icqgupUE<EyWSIp=v_qDh[UBEST?WS=R[UXN=wRudSAU_]CS;u?yCwaw:QfAMy?sctMR\\cxF?VxWhL;h`_H?SglagBMDggS:sRHkSaUDuQBx[s:EVHES>]EqgVvuxNmeIMHx_wYWI]EtAWH<QihGHE=uPYFC?ioIYDKT=?fsOfbMC^IRk]CRarZ_BJmDxMCK_x==vlyd:ui?=TxccdSdDMGc_>DyGdNCywC@kNtpUEnBtYm=TkYybamD]mMXkilqraompsd\\LD\\pymV`mveuUuQuAxQvIvkHpk`rjhm^eVdmPU`J\\ywyxyxMw?LnMATvIM>TwrYkZYmNQMDunDeQruuwux[ymrmOdYJyTySyshMqcqNlhvMIt^dTMDnpMRaAqwdQwdkutQoIoIeOWMqnQoepoTxMHmMNyvCttRTrhiWuhpAQJ`@pX@n\\@P?XM:YvBiMKQrBdlDLoVevvlK<lmkXp@xOTDQllQbPwTUYv]O<xRhdu]TvNavuYO?ht]mndtSvYsi\\YIywYPw\\MkLUKeqXPqWDuQYuSMHJrImJEjTaMkLWXXrlIyVInFAl\\@p\\PuMYYLAZ?Yl[nmQ@rwoiJ@^Dx`DYtxyc_flNODbYAEYQD]WeR[EVMSJ[B`GWxIV=sXvWGvgCTASJUI\\OWDQXD?gW[fKci?Ot^sd@OFxWDEgy:Ib=;uK;UxQbEkobmMKPQ[PwsYOK<qwPV?QKTAuuxXidRY`rtDpvlmBhXXPXDIOEqlgTnv]Sm@mghVJur<TOQmoVuqxeyHhMu\\UQiXVtrl`Ot\\R_TUBuULQOv<LF`YUHKayTbHRqAVcxkiDLpdXcxUOiqKmrN`M\\yXVdJXhJXLJQXr[PS]XQMtxeHy?UJE<S`UQMHXH]lNQvuYo?DRq=JwTNELwoQYappJ<mLIr]<odxsDTtCYwl]kfMtCAr;@ncIvR]VvPNkmlRtW?qlShJhYXVAY?ESSmwc`nLPcL[YacBq\\FopcaZ>qy``aS>ywaxn_y_YuZXq?_sD_bQ`ZIWvwV\\ki][na[>yHpkH^wN`gpVi[ijQNfkN[oV`yxqbGi\\Wr@h[giwgIyvoqghoGPw>_yGG^WVs_Qx_vlVOhxIyaysQIjL`mJ?qmaxMycygyeyeI_eWpdfqxSoywPoxvip_^E^\\_IeAWvRxvlIiBAuLivnouR_s]Xf]Wolirv^`jhZcvpwyqff`bnpO>hjwfcg_VN^yIeRqeRvsaWyMXknFerFcfVe^fsGWrjynLPcdJCe^AgeVwt_>vD?oL@[NvyW>olvsKNfbxrL?\\VVlkn]io]q>hynujOjli]AI^Bn[LQbI@qgFxefnlFcv?]vib:_kuYoOQgawfaOfZyxvF\\LgilOhLft:^ZbalPGkZYahWfW`\\tnZiPjJvmDv^VOms>aH?]VOxTI]SwfaWb>xbK?v>Y`Rgt=VcXngeAguauepqkHhoQycykGpiqY]qP_OqncWedX]TIqFY`[XnbPgQg[Nnnr?vl>fvYZeFh^x\\NY]rYw;OcOAyOx[@hahYqXHhAG^ZIndXk_@mKhZuiiAieZy_:Ynp?_@_n[O[EXiPi_EIndFyXx]dXdXxv@W`SijYQ]R@[W@`Fp\\<WmRNaSVjyO`MaltglZveSGddYfJPcdFORdsiS?upgYsivQwewmxSIiVmwQabmCy=QBhaRJEfjEHC=TQ_bR[RPwWVIIyEf;oHBqUHEuN?xqoUiWDZqf<;iASG;]sGgxJevOOS_mV`mfSaW\\kDAYTjyDoIbsafQ[GIgG[[uIeBBgc=wbJCxMGcwKdlsiwssiOb:KrkURm[i:yf;STNcHYgsmoxb=WbAX:yFoOeDOG<GUosXjEVXkXRog<OwBSVu[CxUxC;csOvpSD?AFOwvOCIHsF<qV>kwbwvs_uWcuqwgKcrHOFtMt<Cvd]U]YdrYeaeelwIEMVySXWkwhqy?YvIsWw=INGWROHZ;cnCf^sGsagdsfTsbn=BLES_cdNBOWFLWvIwIX_SFabHEDwKDMSyISErWd?WyskdfMyMswmmYV=StWu^kbtCxWiGEQFMAIo]BS?uCoEM_rwurGKhSYt@cgM=TO=uCwsSui:]RHut_cD<oX`SSU;YtCBqMFAYV[mCLgd[CUkkT^gsiIwSkeQUFySrvuYLIGoyvxSYvycxSEWIXdAYqAVIqsHWRFuvPqwpsBkiYieTcgrKqEsMTV=T>]FlQe^UVQ_croweGdZIY>AUkEr:?HJ;tlGcrWdOIuVSy]ECMYOjlla=YDHYZTMjANhqo=el=XtAxRu=vZhsZukPhjvmUYpQftOm`PEawcevC]uFiRsUMfHXRTrxYk?=On=vnPV:UkS<YmEU``SQ\\S`UYV]mEyvKUYfTnbAyodm?ILAYyJtxh=O[]L]iMBIpJPQKtt?DmY<q:Xsg]Wtto=IjZEOxiqLuumdM:APnImtmQnypCdSahrZLkOTjO\\y;djcTTvuohHRNllrtkndrBTvBetaHXh\\vZxO=aoKdVq@tH`VN\\yA<y]PKMuTklM:=POhLxmJv]X@tOuxoUujteLJunmXxZaM<dT;TnHloMXkvUJomP?XpDxK]MQbmXm\\Xg`SUxwFTVUYPv`jGtxgAQdmt?DnCUTjqU\\uMaDkJiLm=vA`QleKHln<dXCEoLYY\\AsaEl]TY`Ho[ikb`QBdRTeUVxLk]QEImQtYl@Q^anK<PCilDHUX]SPlQ]lvsPt;xqW\\UriXFHsO<jH<LdtrRtL_]SkUMZIwlavjmu>UW?IpfalyekDpx:upRal]iR]QroEX<uXbTXQ\\v?yW_pN`ay>aqqxjnqs?IVq\\VoQVPuXeLVxawExNUMmblm?Qu?IUdAlVInCIuOtvRmXI]U=yQveSFmM?Xj@QUNuoBhs_eJ`XqHEoCuRfDkWDjXUTCYkedl]XOrImZxOHMV[LWnLMCXVSMuytR?=sRhRM<Mu=uk]msyU[]waUupXmGqNoUYLMPOXNbyVdAr>yQJlmWDx<pud<k]`QIYSaxxE\\waMYu=vUHm`uWLYrCLQwLVQhry<YIuR<XvkaoJ]rR@XP=srpm:UX>TwCDJ`MXlMlLpm\\aJ_xxlDt]=puHwIMmGaVMuneEvC`Tgdsr]mVIqVmkT<l>`osmUKuVsXyFupmlT]pu:]JDLOmeu``pjQj=lO?djn=qB`URMOB=kMLn\\<t<LYketA@K`qM_\\yMtkDQThMrSqRB`ne<kTiNHpVjdw]LWq@m_dq^eJn\\VdmJElPc@Px`Ms`RaArT\\uKPMLlSBdN@LKiHOkeTLXRDQW_EN\\XlwDUxmqaqnbxsQ\\VL\\jbMq<@vPaTRHRKuvmpR`mo<avE<oSAYnmrAYQPEpoAkTiViAXi<oTPo:]tC@XSUKXAk<=rQxJbxL>Dp]@OdMxwdWluLUqjdmRvTs`ukMpnaijS`qO=pXemgUWG\\PO]rB`XW<tjhqZYspiJMLLMMK?yslUmM`nkeL^XYk@RgQTyAJVtYylPEpLEil:EPWlktYLA`kHlUeixQTyO=kVmPUYP[tkKdp]Ynd\\X[@YPut;yQk=p^iR?Pug`s`ptL\\muAmL`XKqXvtsDyQyUq?ataPnvmWRlVyQm]IxEIRXhommUWdogDTJxsXExs@TtlNa<jaeUwLlyAob`uAuJ^UWKUJn<m:Qy@pn`TNJLXrmT]QTsLMYlJtERK]qT]YAEtL^paokt@d^YZNPfk@kWqm>f^EGfGItONZNpj[?fIvsAvl>HjBvxJPpNPnpy\\Xitgxdt`\\lhkPPc_`ZpAqhXaYIjlfl]>iyV\\l^njFk^XhXfrqYppyu]XmBG\\IOngXvpGqVonFXcjVshwcBx`CHaYvh\\afG?]jax@?r\\_foyn_^k^NexfjC`rmGpFFy<Qv^qrkAr;HcL@fCVxy__evn>IodF]=gZFp`OfgTGa:NrhOkrFhk_v`GnSVb[vxjwcONyOHwkG\\_qZpfa=V[GyhVIhMNbwhjdalQXxXHx`?\\OgfIIoGh[IP_uyZPFe=fvx@xkhmIhtsPqlgvlAb_Wl]VdGIkwWclYkgpolYZun]l`\\uAyowrOwhhY]nqZGiZegdGG_Y>kdHdwAv<Hthquhqxg@kOgluAvZQt]wlhNuHyjwYrUQydXcPo_hAiBWh\\whRWmfvpQPn=Ok@at?VwtxpwNqWi[WqqVQjDGolhyJqok@f\\gx`hlsAnrAsMwkoovuXsTGpv`nvhxcybaPj=w^VvhvWuXQtxwx:YjWWeQg]uPhSiaE`c`_yrgyWIhNvmuavcisrHavpfFf\\OPvhPbFYvS`kmPfgQt[YyqofN`gjOpoxfuquMoftaihywxnrqieyhia_pJQwYvufoanwxiNk[Hqsgt`pjhqwrOgawnPOwLYuGY\\gXiy_iYoqRqq[grtInwyj`_ySfn\\ixiFwihaLao?htHitwWdMVtEVw=>ou_jDGid>mlWr[v^p_pOf]IagYYisQjxfeKQ]fxr^of]@hZ>k=vi:havav=W]lW]FfrNnvpo]wFuVidkP_Wx^hNuyXgyGn=q[k_qANn[In=Ghb_hpwhHptpIwtH\\qGy]V^AXn`huQyuUwuu>mCifAgdw`edVeGIkTgptflGAmPhr`x^jomNVpwgtdu[GE\\KyJ?sngfuAv?GRbObA?HWetoAGHgeR]skSSogTWeTU?IW_ehacjOhqcVxmg`GFnWfScUHAG`SXlQX[OB_efxOfAMtPkgOiFNoDMksNoVgurJGhF_uhCfa_VqEcguVc?UfCtA]fxAGocIG]sCqh`?ggOWCsWGSuIIsTgrOmf^OfOmx>Ee=IUSwEFeDt[S_GFvOBPUS@yIMChCEfZIcmoCaqF>YVO[T>UEvmhguvpAwCIgTof=]ghsuv]yCSsPUIGob\\sE\\sdhsG]mGS]DSue?CwUmyB[B;iSxtq=MS<LvitqvQxNdSxqPZlKxMShEq_qlTeo@uY\\YuxQtEuO_\\Vstq=ymmyVdtyoEK<@j\\?s`WpY_y\\y\\CW[?qyfQwdQagapMaiYy^mImgWu>AgWxmqfaOxuB?pmFdUys^O`Ioasav=y[y^cJwZqoqfifiVoQYwT`\\Tn[lgZFWifA[>ViL`ot@aiGx?gy_x_wGwbQgUxijYpyFdGYlQO_[ixCHkC>y_vhWavIItKIdT@nNhucFkfH[lGtSVaWIhVHySimZo`^`[X?[;QaXfr;ArqAaHAy>prmveKhyI_r<QmoFgOgkvwsqfop>pn>[wO^OA]ZpbJvZaqotWrcx\\x`gvibXXvaqnI^dtN_UYp]ph@qungyTYbIwwVIimavSxinhZHofqgivqhqVnWxyPYxZv[=waWVuwYjuysrGxSApcViUyjyhoUor?vtw@]XfgXiygYaP`esohiIx_@ypwxxx]YydxPnqgxcY_qoemAnaAiQpqkGwlh_w>xGqv]wasxaygwdh^ey\\vVxpy^<vaR?hGQlb^kpoyMqgEq`Qyi^WrnY:iyqouymv?uVRUEfyeyiwwSR`IvQ]imQXZ=x=wk]@POMQoQJKQlutQmYxSlPlyRiiYS\\yJxQniyuuUwqxeVaxgWQsWAuKsWxqtUyErIy=_wIaiLUUcerQot:osTwuToySiEqegyexkYCHEwxwyWuI@eFeUxYueowXeqirYH=obc]xyEv>iIIcwcwujwVWYsIqbE_dimyYywPkRGWxYYYKkUkqxUsWqwhmWHYmXx[UZ_GrYsy]greuaqiiaitiYOYYyMXYQiQ_EMii_=vKyxYycTWttycV?HpArbwYmwtfwH]ox<arbaTj?vjEi]_ixYBUsBYoeHiYnuHH_t>eHAOiWWURCGNWCWswTeXyyXy]gXyGFEvskWcqbxoYcAu@gGUSxayXyCxwwF<=XPmEmOHmognutgyI\\]uvcOHULRAq[yPFQWPqs<]O`qRnDQ_n\\]Fv]f[FOjcAjPxe<vjC`krpb^yrdfoW^aengJ_ZCQZ>VmqAZLhit^ggxs^vcaWd;HiEV]<n_U_lCNcH_c>oyLq\\hnxeOhI?nBxdgp]D>_iIg<Ph]xr\\^pb_nrIcM^isG]un\\@QeYowq^vpns;GoF>wlq_^P]ZXl[nefhn^Of;Gtk_\\cy\\Ig_KxfOGeGo_pAk]@o:wikYkyAxPyhvhe^_yOgwQiq`QsqoqxicPHcv@]fWuViwdaxZGpN>wVFn?wZywy`ygxqvWwwtw\\gIempfGniX>sOy^OXnUysOQgoIrAv]VF]SFrQxaSgjKvranxTN`=vylnkIgvqfwa_bsVtMYtyFyCe;Ir;MRdAI=yGu_wl_rnYS`YH\\sr`gep]rwaSMMyEyUxQxhgUuoV`mVjWSqkWVAYMiSqCT:kw>kFKCV[cwnwDLys>UBsIwIuYtwWYqi]?cWyyZIbuCtW=wSwFTQIcAcy;y;yCXax`wH[OtM?DsOdjQHrMsPigUEX\\Qv=yIocH?myf_VmwfCQYeigqogUuhhaemmssmsdqJF\\QDXVjUxGyPMiTjys^\\ruDWhHl\\duaEndtY?yRNenFIo;\\XntV:hVjUSq]o_dQgeU@IP]dkamTOeugYtv<kI\\RBhnPmTxtqvyvyMLI`tWPy`dV]\\S:IO]iRJUxBHlDhk<hQNejClKKTkAMM[hoD\\maQRhps[]uK\\xOlJSpNMeyB=JddtPUMkmoCaJaYY@APqARsMo>dXXEQbhPWtulQQ>\\WUlptpKRDMiXK;]Ux=l?ElT=WNDnSdvATRMqt:IjLUNQXuYTUmlLhuLqarMhJO\\Q;@vltJZ`PSLKaHUY\\s=EX;Hm<xjm=mamxTiWXmJqmlAPS;]L\\LteaKlhLR]loYp\\TjchsmTPsiVKQrHHmLlMd`KdQn=aUX=WN=VyAVptVBXURlPmUY]]oDlNstu?lxjtjcDR[tsV\\PEUy\\<m@]KELu;Tp^QMJujVaTXQuKtpsdwRIK@YLhmPQHr]hWOQltdvtElhmMhaJbQj;qKRTOZEjHHrV]wqUVUQqSQJWHR=Ys`UMS]wVTWumW=eyrEKShTvXnbyLI]vQ`X<ALRtQjdwcmlsEWXLxVayQ@qciP[EMAhuvpyBXlutoGlk[=xb]kwHnpuL[EPMuR>Uj]iJDPt]fi;ycCNa?Yf_XqZPh?p\\Z?sdGv>>oY>^NwxkPrFHoE?tdWssO^tVbOOmL>_E?wifeD^axn_[QpjHruPsN@uH^ffX]<aqNFqBg\\pQhQO^wamV`jGG[DYkvo_C_o<Om<`kJXn@avu?^yVllAoKVklidsFcENl^gvCWywVt_Hke>lHGvt`joIl\\f`Jac\\pbJPmK?tDVhqFgrOqyfnBOa;HZHwlh@epf]B>fPxrIG]C>noQgEg_awb\\>kZV`S`[w@tBi]ywyxiycNgyigRx^GF_uwxhicpo\\KgeQ@xkfwYXn_^xSprI>_pi_d>cN^yGvyVn]XnniWwVoglalInx<AxLfsU_rbAaeH\\?FtxybXFi>vxMFrwFxO`cuPyBhZa>`;WdfYbvg_YNan?_[fi_@rWnvUWaByonGulhfnxiAqkW^nlXte>fxHaVVanwvHimnyvLinEWlQvrDh\\encwfxNYihIqaqoupwt_wkxrHGa_a\\\\asJfj`F[CviZAr;x^X@i<^^u`\\yhmNnjL`hcFt@>kxYx@pZjVqdarnWbQQqSIij>xo`sBX]Ng^>PlB>sKF\\?YyPnxbVcN?i:pgIOqUOaZwffipa^o?P^=_eppx>hhog`@imBxiDhegyr\\qyfhkb`\\E>kJGxH@^daoXapt@df>[qirLVeyOvtAoLxbjwdSaq`P\\@ocPg\\uYsJiqsggJhdJnnoooYg^Byt\\>oGPqtWsTGlM@o@@lGgeqhfW@ksPDQsGSGEeUH?gs;b]uHYSuKeG<ET:sxOSWP]B@UR:sxvSIpAiOYtSGWvgbVQgl?VvSHKqv<uU?=RMMYvYSfWiiWUIQeRQd_yriGDuMEZEuPmX=QEj_CKacXosVIS`kT?wfYsXLqrhGXM=i>mt[ex@gtWcRG]wI;VMIGUSiJKy]iDE?h`abokRXqrMSItWu?AtNIFHOVOGG`OIEsUN`x^iLyDupPxHIraPS`eNEisdXUme]Axuev^@_[>qkaQtcIqGHbGXaowr>g\\BX[I>dEq`o`k;Py=Nw\\WqXvuSYqt?nmGbaYdq`wV@]S`ekgxLpwjXx:Yj=YqXPuwpxThtWfuWnwX@^HP^wXd=?ghywCVatNuZVrVpniabto_Ea_whn?Xe`h_wGZ\\On[xjrakAGl?QZ?vvR`p^WtiPbjvl;OpaouIOpGqvFGyfowVIu\\^_k`xefoM>uVg[g@`qQsmOgJ?vsxdNovYgixXyuVy_xuSWf=pn:x_lq\\uPrgv\\iHnIipghxEqmwOedvqC@dVOZvax\\YicFhW`mXpmhvlEIgaa]?GnrOfrI\\[fnB@wQys[y[JacXxyUPsK>ebF_FYZs@lopqSHbZWupFtMGhyOlHi^knr_PxUVZxHelGb<vjBafSquXqcH?j\\>r@ao^PocI\\EaiDhpeQq>F\\CxwXPZqqt>_^ZqckfuQioUwlIyvwvs=yjVpei`\\@nmb^`Cwm`vsyibQfe>@yUpu<vfVHh@YvIxaxxfIqm=yjIVvcIcN?iRhxj>^dg]OWkUyoygYYHIaIMOc_Cra]Y`KGqGivaqkLN^tWk=sbLjc`MA@VGAjEYSJHQpuUcpVFUNnhktMm<<R@hNZiuulUluLPIUt=wFuN:PJULtEpY]EXi]pr`nVpL@mn<Pm;evRhl`tJYAlpUs_MWuIQehj?`T;ppq]OQ\\v[]uXesDtvVTw^aJ`LpQ=PhiT\\TqKAjZTyqLvUYncIJp@kwXRIPvL=ot<yGypxlW]UowTUt=wXHl=dUo]SIlP<HxLPKq<Q]aSslqVHPJdlq\\O`MuUXQreuZml\\QWkpph@lEXkkHrOXVOtq[`VliLYLJ]qV=DLcxloQsalx<qVODvUW\\\\>iPye]hvXWtKNcdAkpylOFgAixg^tUpcLnd^AaeqftA^xnoWGpZ^t]pm_gud_f@QmjPxawtoA[UhqHfsF_tsqof^bRwe:>ZZRLCTJcTkGwdQvXsc]evEyBTofjQdnkIx?rqiYaeEU_UbqXf]vXWw_yg=edaKC\\GS=UhZwhQgeY[wWEhqisi_YmAw^mhRqTjcykqy_cYyAXfyHQkiqWEXQfZeBg[xRYCj_BZAFFUHiEhKIF@kG>SdmUcSKRkOE_ibkowLgW;mEPeC`eRj?t]QiviYvwyAkXYeheGiiOb=]Ww=DOshBkIgExAARuQtF[eLMThOTTwXfyWHUxpYdPGrlCfM?R?qDJAuNovdARHwd[WEF[YW=x?igrCHIURZMCiEF`As??FUQdmQSFmfT_xKcsDIwfGSe;Ib_GkwYmSRImhGcT`ewOoCu_SKwFBUWwORKSY`UdH;bfmCwgr_gSWoCdGCrwF?SbKSIAMBwMFw?gloHhSeU;wlkENkCd?vIAek?HgYfxKVAMg_?hPwfhUgoGxv[rXoYTkcN]EAIrQcU<KFEcb<MihgyUMHXGVQUVYqFkEFJcSxsVOYyBKBtgflaeHmrS_cw=Sbsb\\gi_;BWscLux`ktqahAqUZguW?TJkxdcrjIryCx_MdJMDL;yXosdYFXws^ew?qI>qc?=dscIwceLeV`abniRT=B<qs<erkGtb=VACFrqESCE;=DY_F:eS<;Y[aUF=RsqrGWEcaRTIcwYYbAt[_fYIgTIujWwg?RJ_f=;V;gSUoHg?U[[eDUDlgcjcYwseLOw==w??DuMByAGDaxRwxnAuxIXIiTJsrM=THSTTKFUghdasnatNatluElmdZUS:axn=sueH@kfcSvaaBZ?FjedROGjIRrkGLWFf=CdoFJITbIFnsB?aB>SstOF<eYZYDDwupqRfaVS?BhITVKX?=Hg]HO[U;wwR?FTUcWKFrybcOUBgt\\;cO=DD?D<kW_[cNURaAvtMRS=rUYW?Ou>=cdMW`aG`iB=QHw=D;]WFcsZ;TPQcdMVBKUy]s]md>AtF[iV?cSuGd=TkQrmgE`yR;cbBAX=usLaS>Ierssw]gJetcqEWAum_DMsyDOB[]RAYwB?XR?rEUc>OEZABngDEqr\\CEy?dOYbBitbCdgwCpuR`EXuQuCGhkIfroInKHL=bKIwgWDRAu\\Qc;odXeDs?CrUGWgW\\eS]IdRuHnORhsGpGErcCa[C\\EbweH[mvF[YKWrcGtfMe@GbBkyjIrcIb`ecOMYmgRCkYasR>AHNOhRYEMex@Ei^kRautMYIIsIMeUr_W[[xS;H=YRiGfomV;WHaoTqeUgSeoccpCR[CrUCcr]fCqwJMUkyUbyirCt;Cb<axJ=HRKwsEiAWgCqws?TlCss_RdGWG[DsWWm_BkWRLkS@]ylKVFysOGTsaEjuDMGS\\yxsOxgWXcyho?w>uWyUSk_YXcvlEUOmIqEhvsT[QsvoFpoTtOtq_yKgiqADxKtEicZkCx=EbkGPMussRQKvJcT@OD:?tHMy>aIAqwUobc[IdkDD]y?=GsCIsCSEkvoQYWSiNOdgKrfMR@MH@ifWoX>ygH_BZWVqKVISd\\[biuCTUt:egC?IXCWbafQKHYwvaCCwKwmkTuYrT?XmiDhaRQ[rqIGwEhjiuTegPuumqeqaYvYvYsrCyhheutgIumxf[Ur?HK]ECGFAwUrwYtyfyMrlAcvGsvscY?R<MwEwDikRbyIxkIxqyqyiyiDi?Y?uSIuCWORhutrcgk?uQyixiXT?t>Us[gymuc>_SS_RP[sRMvicbJuF\\_srSBF=iCkEq[iTkb[YHAsueIIXiSMuUxqtpAf:awFShXixauguCynWdfGW?CVYUi`cc`Osl]YvOcXCufIrcMipgF]WsMivnEc;?spIIuiBKasP[REItXct:]dXgcGaGRgCsKuSuTjQgagfSehN;C?kFJWuSkGyYdOuv\\Si?cx^]sr]iBeRJWVTmEOGhNQYlGhX?b?uUmEhSkR=QH:Ag_]b=]VxoGDyHmMF`IS@isc=Ui_H`SWKOdM]SlwtTkgrOf]sGeUi@gtTIBs[WOKRmeSRIdE?Y\\]udeTU]d[KItOIUcvy?ERGSUgWtmGlQhKEbh=wO;ceKR_Eys_IjkBiawxoVlKCgcFmKvI]gIig?wYK=fukDwwr]QiqcVdmR`Qf<kuasY?OhxQvOIIMMXsWHkQtUsHc?VAodISe]YRfutbQW]Auh_isQTeoTgGeW_Wnev^SxqixY=YP[W`uUuAty]UXsxTUcPMvOqXxkh]eSU_Ub;e>ocC[ebkDF?WjyEkIbUuXG_dAqHywxN]whigiYysEVVaUuItMiBywyxovbUxSoyMmt<ScakwR[xtKWEkgTUdgWgjCs[eE=SeOorfCXiie\\=WEgHG]HU_x]CWieROeComFKyUK]EK=FBUiHKrAIRnad]GIT?HYWw;[BSAu=erMWRPcd>SRkIxXYB[uCambikiDGfnWweEV:CHx=FgCTyCVxAsLGxdCsrWE\\ESMEH]?ceoeNAEdQXHMG<AxIWdbKgciIDQhTsWXSVi;T`cC`ASh]SGSYKghfewt?yq=RUCh;aWaefniGy]B<mHB[YWIdKCbpaFh]Ic_EgCfvqENCcsCCVwSpue>St^[r=_rxWdDIDBCG<=uIaVuSF;qgHMFpGv@cYdEs;YFgIh]SDLyICAEV?GV_DrsEKUd_EUBKcber]ydMSraOxYuDlORL?F`aeYoX]yYJ;XAYY`wODPT>MsqdRCPs_QX>tokysLEonqpqhqgYOYglKHlK^usWvGx`XgioiteotfHgnN]bxr]G]vatgwuxh]uI\\e?qdQoep_x@y\\_iM?vfhbbykAwcrFv>N[AWjOqibYbYNy>y^xFdc`db^luF`gq]s_vKxnYpiT@bywbA@xT^nCimRfuYxh^CbmrfuWE=RvCXR]rFsRfkg;_HCMhRyv;atRaT;YhUgCqWiOMTQ;ROYDF?Wh=Ftwh`QBOwflaiPMhRETo_FZIy]weu=rmeyxqWmesLiHpotgOcBac@ww?sbx]YbGUimGESY;GGBOuocTmee`KrxmT^EINMFvqd\\aUb_T^QU@;rTkYVQrg;Fw=GnWcA[SSuYx?TbyulGb<QeUqdcEes;w[=IXetcQWgOeeShD?CFyujUbkqVawuACIDIR?iBDoVZeVfochqX;iuyMHxirgyxreYKuy`ihjksaoRa_Yooi:CRlYTvyfYyYZwydasLYHPYrJ[B;;wW?vqKEmSyZWfeSB`Sxeqe[=ejcvk_ccMwFKe[KBhIWiGTlSc<OcHYVqKxgCHgatR;YJSyTOf[KWQ[E\\cFLEe\\KbdYSGotEcYGKh\\EKSHycEy@HJg`q>ILQaPcXK\\Uu]Ak[PNBmpkDw[QQwasBEoS]jfHkiQLqHMIxL>Yvm`Y[Qv[Yj]djLEXdMXd]wSHS=aPm\\UMmVR=tjAYNtS^MowUstYX<EPDut[ukJ=ssLL[YKS`jcTR?Mk`mkt@l\\\\jIEs^av^dowUVIYNfHjaUtSyUBmxlaTZmMsUj<hLLxO;lYIuV`mVbYuDEr\\As\\qmfPnaPX><owmy\\qJFqRVtnxyN^eRCTOMeLnyxSmyJ`OhanZLvfPoOQWn`Y@@mUpX\\YvG@lWppuMYtmUkQkQ]Y`YPYHrA`yipydyopqwWYkUiUWMNfhxququiuiaYaYQYuytytkYQA@pUDTulq<<OeTMXdrdUquXqiUqgqpeuowpXj=XjqlUmWSQqoUwilYkYKIYxBhXqesottvuyuyua@OJxMsAsAmlfDUL@uCLL<dYfTNCapryLluUETse@VNdX;@u<EWm`JxMwnqJ>xRYyjipxk@vC@wceOPqtUuWTUw^]UyeUBxnbdKZMU]lPlpp@lr^lY:MJ?ALHmYD@Yn@s>tm[`mBUxxxL^eWmmVoXJ[pxKdq;MuxYpNQLM=uGUS^uOQHL>dxRPnv?[dP\\pinpVkhwnINlVYr^ndE^v]fgJgsTfbKIl?gfvA\\UO\\l?^]VnQY\\qOuVxvEinDghY`[splFNcBgop`rxW[bN[x?[mosKPn^xcQ_[<Gqgp^OH]Lwlmif^n\\=@nt?gri[Igp?Os=`qna`RG`v`dQa`woZP>_AyptncOX[?fhsObEFl\\a`:@^pApWGpWa[g@c[O_p>f<X_kp\\U`cO?\\Iyhu@tGVfBpj]woygnZivuOanaohFra^[kA]SApkioEOoGqp<wp\\yh?fuiIwlq[aAf:Gj=AvnykqhvF?oZ>nqqjOhuoPJSvcsBwItrOwqUGeGXZcgXQVYIwEgRvOeIUxvAfw=UI[rNKI:ysv;hvAbaYRMwHXAhySV`=vYSI@uebOwqcT[ab_=XcOHwYrkcXvkR?;FuQeHCtEGbDkdt?Ie=cOuejSBSmdO_yreh^CCGeXc]fQaGO;edCstGhgQCX_TVWCw_GbiXVgck?vqWHIAg@=gckbWMehOeB[h]sErgGFovtwfc;IpCf<KSp;tj]ySqHx[yqybDuccArkaxfoDteYTUuo_yDYWusg:oWsOTmuH:iYJ;YHoSDycnqEHwceWrOIXsAIKkGccvrwES_F`=s>abPEgNmRAuRuSIuStHIIdAbloUiWvaeVIqew;cf=xwycZkICuYROsKIB\\ShSQWdgtdkXoYHIaI=EH[;XxsFC;DCqHQ_nLPsK<S\\]RAIWFEU;@O_dViuWiAyrAYYuUYayBMYmIu>Do^@rwAKy\\TrtjBUQFmlIAKnTvnQNMULcLvramyXyWyw@]Tweuout[akvqtqpq?@muhoghKYqpIxQxAQ\\LXd@xLYSidRntSMtLoYyVmOAUO>uvX^uIhifYfY^yZyZAxjAH\\rxqninif_PVkMYt<xhxwwwxxLQfAIcafm>@nY?bqvs]XwLWi>y\\nIy`NiF@x_>k=GwxyrcXu?Nad_`dq]qI]BAdZaerwv>F\\NN@Crg;ddke:axjoUMQsgMcBSwQcfMmxQQcZ[CbkRLwwMerI]gB?RR=d;MsoaRgOBSwbO]We;VBae`gGQgsS]HiCgXACSiBduDrKUt;HbaSMKuE?XO=bJac?mU[KVE_twgREOyOsRtOWlAVKuu\\SffcUTUhvUs_uVCgC>YwAgsoyFgwehadkQW\\;unMs`owcECXUg<adNEwJ[X^GtaoXaQHSideYYZMc=YHb_g@Oi[[xw_Wx?skmXO[btQwskeZkG_AvcwbY_G?EyouFfgCXOv=yBAMWMsBIguvoCPMEIsynIXIUInMs?uD:ec?YVmxvItOxlVO\\jvMXb]kaYvDQjhIQjyjyALgXuliTJlRGALjISL]juLj\\is@xlKeTSdrkllSxX?]yWLTmarPLWZlmeYj\\HxJIVVXWthOtIlKPrAMup=KkpnemPwIodPYJDkvTT<ht=iRt\\UJQTnYX>plm\\JKxTVEX?IMa]m;Xu>ArHETuyWC<T\\<nsQrQlq:mX\\\\YayLDdjN<qYdU[@vi=OWiuWymyayaIxU]SKeSfEO>mR\\TJSMWClY;xMAMNXUVItUsevOxNY`YlLNY<lVmk;Hj;`N[eNKpwLAolDOjuQDTLHPXNPTD\\N\\EqK=VoMYRHLvU^Goq^X[P^_rWsUoulwvWxh\\^tXF]SFqgqpUAgk>kdPrInuswvWxxayIIIxwYc[G=ksWMgJodDoUsQsQMvEQvlYsisrduWwgxP]e;AYB_i^=D>yxqyx]OV:]sjKx[ASN=C;MbACe[QTjcsKcgCAvtMhIgtX;THiwwyrC=XT?tjEroEYqmRWah?KI@wtHwIogtEybXoEWii^WSu?WKYFq?RRabf=sDcRPGwFDQWLKpuJjUT<hMwtRsUYBIqJMMlHoxIyK\\WNMNOys`mkLdqatY_=Vh=WBirYaovttKHLB=kWlME]q_`s\\hu>tqHqjH\\lvLksUY\\LKlHS[TKUEoy]nuMVFETA]n_lUTQx=IyxHlLLQM=NlQq\\\\lV`mfeTOmPt@NqYQD`s=LSPtOdmSehTLiQqmyn@laEtKMvp@MRIwdmy;ayNXo>XKvEJ]TwDEuI<nfPVYXwTpO:Hw>]OvQYglOJUW=yLC@pv@r?ytSul_\\MxdLYaPNMpCYvSMVCHR`HMOERCYVqqVNQQ\\QUaTv[AkaEqbuYWAL`EkV@gxgo:ihVVyBXgd_]]^oIA_GQ^Enl@gbSfaW?b^ylH^pk@_@?xYNbyipEgZtvskHsCHntPubx_Y`__QaUvi>nhao^mOd[AxjAaU`uiilvAb;_`PqwlXjkP]__qH_mAncZQ[dWa<`wbV`jNq:gvSghIvowWgnp\\t?pTwj=^qvigg__iOrdoZqorGyiUvmfYmX_yHn[yvkI^ulxqaYve^bbWsyAlw@yl`orXsA?aNHZtfrdwbc_m=W\\rQpV_\\AGqKgbnId[Hrjxt^Q^HocQNwkWZV@eHwpZ>Z]p[jFjJ^aEadfPoDXx]p\\pVptorGh]OGdwg_pYZYqkD^kcn`g`b;H_G@y`neePg>^uZibBg_tvb\\>y`P^u_^Dnq>Ag_A`GVlq_t?`mJGxmIjJvjbW`>HgLV`j^n[>^IpjJomlOjiYmqvg`NyefjxpjSaqEwbqFgvyyFGnjyhNfh]XoeXowhqwoqQ_[SXZBymlfwda\\rx]WH[A@ctWr@h[SagPfd=O`kx^fxhVXkBfpC^uMVbHVkwgveves>hZAZ\\vwgXeqPaHXb;vfdflDNvlinEwlpixoIdt_dvqv[gaRG>yIlOhVmXSiVyKyKyc@ob@?DwyIvAx=YSP_GccdD=u@wTwOwOUWPagcqwhqFWaHS_urEWT=DrmuU;HSqfMsTvaw`Ay[WBUaT`ut]uV_GtpGUgQHmkFBAHh;CScCMuCvuYIaFYKCegW[qYpcrPidEgWemDD;hCIiUkRpodhCDxQui;BRmFUcInkx>AtHiFsWTR;hkAsk_DmKcWQfPWgAmGA?gcsxjAihMGtSttYgOqFIkhiGsi?GNKx\\IbJHkXHN\\eo]yVuLT>PX:iRrURLQLFUr^TPK`upLLAYYK<SEtVIPokIYxXWt<td<X^HOl<kHPn@HR^=TrdMM=nsqpGUJadWV<LpxvRlLypV?@TPMOJiWqXrEQO<qSyHj[avkPYu=R^aW<pkhqOppQ=@XYDLpmNYHkHdj<eTfIV@HWBtnEhnFlXkIwCHmLQrL@pDyrjTTUHXTpobxr`EmfmV`MY`XpT=uoUwm\\Q`YkHyU`@oDYPqhKT@YytLt<Q=YjuQxAtJAhlEmNPxoREJo=XpAYpIotxPmdQlhYvxnuXUY]oEATT<unEVitLeUSp`Y><qE\\sLDlFpLRHYotkq\\mCLx<pYNHlDxLKYl@qVOUOVIvt]nxEpNXvxQJf\\lNDo:`sATxGqlcuvVdXFEKmqMaMP=mylhrwdjiyOJMLH\\Kw]uM`M:]VeuSBPpC]xaapAqkF=SyIN_tmpLlFqTCxQ_lW]Ys>@S<IWIhn:iyBijb=Ub\\nQlN@@lP\\LJHl[=LpUlUALxEsj`Yxvqtgxdi<gDN[YWOBkqsA]ynweneYt[by?iM?YWuvVWXHkyCOu<ceLugQITS;fvCDCsxEoD;;h@KXWGDHuEXgdnYGKGhOMBckhLsdsyt`OguQBYashORRUXi=HkiciibMouIsVZkhWOfIiuIgIPMGIcSOiIOATlCbtOCKgvMefyEibexUUY?gbMghcIB<[yBGseQtZis]Aie[VEsFEyhvKWnoctYXRITQsRfpRXDS=uNguJdDmNxvFuxX`pxXlGYmrLyX`YKMtw@wLApiAsmeWZlus@QEAlKMqUPorLmCdRgmk`lohUSuXYf`rCUSBXXYXlb<QLhvE<R_]VppsPhuylS`@oT\\rlhyd`WmamGiQNhoLQJSHWEulqijtxkT\\tXetqAuqpXvMYIAaROoTGdnV`H`oVV`eq]xHnJ^unHZMAi^IpBgkwwjAqucYcUfei`_sYmeqiCoxi@rWQnua_pN_WFc_?qC_]HgcoHqGIhJibxPdPfr<XahXcpyy^prG>tg@sMGrqabva\\JiZqaZl^cJ_crP\\cnZ<vdVFb`>]tNaFg`egjFosiW\\kO\\Gn^tOeQH[S`lVVkvAbGQokG_HxlBn]s?o]w]lWxefwXnteObVIodX]DOj_vw<qmMojmV]\\qsOgtb@nGwevNZs`wLQZnvn@gyOY`wxvgN\\p_x=@lGAeWVk>_jY>a>YktWi;Ws[A]fvuQhbWvdAquE>yLx]Cn]Epi_QfyInCfxiWgehll^oiijTVjIqrMwcfipiweO^aZwkxGv:ArYfx<IoVGuCFyVPZwqZ^afJ>sTvwcvdvHl@HoAWuPokVVxTinjOpVHdkWdf`hEI\\Kof^_j\\X]]HnYhwhihPVjQAsDAtKHyniwuQjKa^xwecfenFmJQtJP`yh[NXbrGlFglCneIGduygOw\\_hgdIilVZIywdapqxkROlFIoNNZU@aEF[Qyl^Fs\\Wm\\pxN>qy@d[xgLOn`n^epfCy\\EFbpNjcOi<IkvVljapJVbFyd_I[pwcGgcKol;OvLisIXx?NtoWZkwi\\ayDhlMf\\fFkcVkO`saFjwQyrfmkNflff]Qq<hpwgvXQoj>pQPxgWtoHtdasn>gpxvEn_<_wov^@XjlhqrvsNH`@I^MoeyHf_wbA`f=VkrhjD?]?OcdWhyitiwiBh[?wq\\ykGhdexevarUWmx?]t^s^Id^H`mHvA`mAH]m@vDw^QWkC`wGGZ>fgENuihieIeagm]`Z?QjYnrBfwo_tJ^ZkPc;`vgovsIj[GwlvsKN_dO^L`qdVbQAvRXy<XyhPrf?myGoN@NKfTeFxwGk]R`[Y`CupcGg[HDLWADY;LNPyjk=s=drj\\rOdT[EUIHXfHXteJl]us`pqIm`lSWAS=qpC]NFPYOYSYeYC\\kl]yMdXYXvQpm;]oM`s@psMpTW=JEdRdDucxRpxLDHyLIxwMvDiPkQpXPMY`w;HuZmX\\eK;TwnaXW]O:\\PdiklHuEToR\\pcTRqaW=xNruWIumbDM?exTURbHXh\\QkisuqKmhQalmoMpOitmhyciwEqxoykV<McDOEIQdEmOQMNHM_ds?yr;=UkMUxLulLruhJhUt;tqS\\r[@Xt<SaHxElRs\\VgT^@IyKooMqssig:i]T?d_VhiOjxOdsNkL@rkarnqaygo=pvpOgbwi[@jioH?uY_xdAfqeHBaw>[dX;YxmWV_TAMS;WyKUhy]syEWLqh`cvscrLSyMYXn]XlkdaCi;IwJYXvwfKchIyIkCBnaTmkwviViUWt[DROBNKgLiyNaFd=Xf;XP]VB?BNwYxyYDwyxyEuqgyoY?wswQWM;eLWh=qIaKeDISTCBxgft[dfaCaqG:eY`YUyUyqugr_w\\Wx?kgMwyR=fbQghAX[]Uq?sboG\\Cy[oSLSv=mve?gnSRBErW]BHafbouK=fSKFOuSZ;gjQEwgx\\EDScIJCbuGDpOcM;GASGkkv=CuaMcnoytMdeqE>_EyGU>QSQCUmCTI?VDscU=wKIdT_bhiHn[rO?YTKwkQxBaSf;gNkXfcgmQDygCI=xwYbrMGNQwjmxs;CNUFgktAoCliwu[TfaWIEbpqXp]sLeiKAbfOBqiuQCbcOFviHg=Uqoc;GufOIocSU=XyYbGaYZEvxibEMfXqUw[T>=CkyEYid;YWk?cI[CjoUSCwa]Da_RySUr]gwatpQYfAIFeh=EDtADNchZqb\\ku[[bKwFgau[=XrUsTiF_gdfGV=mCT_IpaXKYVRYhSCilEtc[ULew:WuTGENaSOACRwsSsC<Qf[cUoChaQBuKc?]CQSG>?SMUhhwcMsCFcDVmwcAI\\]vj=BGECMiVh=GZgeled=?iiaUh[RbYhHOC\\KUbOVbmV>QBf;glIYS?T_mvf;tU]YxETYQdsuGPMIwUSEID[OUgotiEGZOdTmGc;u^OwAcDqMrR]uPErKyieiCUaUQiIYwG>iwWwtV[vksu>cekSTy]UrWvVWTh;rEasVIwZuBnwx?qvF[thltOHlntxRLKGqSp<M^ySW]KIHxHywqXuKUuTlt`lnI=vPamKEXEttA=XR\\lKdKuUlw`R=]qhiW;TPIAvc<Udpo_AtJiLe\\tF]qEltNYlQykelNclsUDxv`k@etfPmGqJ<Epc]R<ETkdVvXn`Pjm@QFYJg@kB@qqlRJmrtmRGILNiWd\\U>qVWHVAhO`=mmdRPHT]DuE]OLlp]tJTLNs@mjYyBhQAyR?`MITRVQwktSo]J\\<V<UvLTkIMoPATVmOlPU_G`LnqJFnfNgDogIfoeg`^QwJodhp^onv;Ikf?uL_t_hq;oi]F_OhlvO[<fdVnt]n_qhnyxZwVs>xp_IqHHbIGhV`tMVybhtcAyEa\\@afFf^O_f@QkR@e<Vgc?m\\Vn=PoLYvPV][@dUfj]@`=@b^y]Hpvg>hb`hSNmuG_JNyi>clqpaxs;OkTyiuw]qye@pvNVxgf[iOhng^S_rB?fLFnpeaIwliUD[uMErIcgbQwXoEpMvPgtEMi\\iW=ACFWF=UhYwgvIXa_g?=dpKHlcE@GdTSY_QXcWhAQd:UbwchgIEWIHRSTPcGb[vDMT;At>=wwwfXoEnafuqw\\iB?OTc?RQeEYsv=Yr]mT^;bAQuoiE\\Cy__sdWHvkYr]xjASNsx\\ydbUtkWCB[gIecpkxHuCE?XWaUeQwdawdQD:iRKEuMsSgACUoddGWDScPqgU;vVmrZETZIdAmx>oTKyxwirOsV;Ar:chvUupIhbKcKkypmXP_w<SFp=YfYrqqWWKyryry_H]qgXeidEvdiXEKItKIvsDhAy[ychwy^mhXuWbgraouoqxescsUXAkiwkf@?yuyumIswSvaKV=]CwquYoyrysP[x=ErHyER?vQeikiIkAwOAYOwitoYtivQweamvZ]Y`MvWwtgAEv[XbOdGoutqvEmutqwRCTFWwjYCYMxKeRwYTyoI[GE=[IlAvsmdd[Gu?xwyYuMyykYpieukiyyvAaGIgBsee==TiWw`mB^]CwEdYmtmeRBoXWASZIhc=R^KfJAcYmFJUdnAfLCRvCrTgyx?wFuRjEgyqwJGT[?TZgV\\KW;mGAaGege:?vcydVguDeuOGVUsUtMfRSfT[TP[xfmIWebpcDKmWh?ciGxfGuS=BQcXBQYmGv<KgFoIMiCW=uEYe<yFsSdGAR=]gg;g;WC@gtPqU<GSbwuw=iKuWbCVkkRW;WD]fy[EF_dmksTUBuWv@WbDIdZwf@kY:cXKsS`]VyaS]mVvWfmWBtUCt?U@AxkAWPUst]uEQCQKUvQibWXZiTlag>]GaAHNeChosTcwaIIR;vA=SvcVBOu?UWomD>IfJ=IO]rFIdYsBbwR[AU_]wSixYeRd_drmtfMb?Ch@CF;ahJQGSYXeyyWCePITsotb[CeObIGiFKSoYwXiHy_vv;d@giHeFO_lLPJqaTxYT[MpEEM]TPTeMTmLjEJV`R@lQ:xrXpuqat[`O]mjhXkwLr>dKfPOGUX?mwq<mAIN^]miuYfEvoyS@qP^qn]AS_IvoxY\\mq[YJoemcUNu]wqpyiHo;iyWHQ?AYaymHuqpiXs@uNDXoxKgYTXqx@IrWTyueS`eUqqoCxtxpL;pwFlwyQwGImi\\YsAl@yLo=MsxwVYwO=LXQRJaxVxwxmoqqvidVAiyCqqlutquwhpTDhJaHryhyiUyxLyCivK@NPuyuiXiAqrykYqORmMAppmYOYmqUyxh<k[lO^uqyUwqQyUyLE@y:xjpUxq\\qhwjTv\\R^oryfiYinQsenlbOafy]Nwy^ivSXbmVfdvmtYtqn\\hhiqXl?_Zf?_h>yoIoXnsxAaQXwXPafPo`_\\>qjHPmBpdBHykodPxrhQ\\XWgegrJHp[?glHrSIsdVdENuJwhSHaG`adyy_fjQ^yGQmwp\\;nlPvwjhd>Qss`qXXj@GoLHwMYr=o\\<AgyVjdNdaG\\D>dhPqZHgO^_>alaG^QNrSioRAakgrBadfWwJww<n\\uFayN\\xHZtplKFf[Yvrp]FpfFagfhv=FriGdKvaSoq?P_QPgsNm^?yAIdZXyl_iGAeQnhtGlontI^`O_vJipKfpAg_ryl=xvTnrcGg=YmaomoHsxXyV>pRV`Kwn<owjHpnVlBo]x_r`qtpoiSofW?q:``DFckQ\\@FeJxh<fZKaoZ>h_?fjFod_p=^_PWkavxBAijArXqeKiwl^hb>tGiwqidtYo_?gQ?fTn]ivgen_NInYHr[>ugywUAsEqeVnfNGf=isrnZr`aQApgAcKgppGdaAgBF`iAmf>kvyo;N^laaWAe_wh@nw^Al_ipUxZwQmMxqtGpb>jJWyH^tyVvfi\\Sawx`s[Yaqxhipedpe^Hko@_HPe<^vJOcr_`:>ZZ>:CTJcd:=tU_vTab;cScIwKMDw?uoCuCKGmQcjCwFmxriwRqbtUiIWy=EhX]VRKcbItVwU>KRvGvfMh=cTfkDmUbq;YmsFAurAsCkiigcIkKcKmCu_GLirbAgx?wsmFmqylKsNSGAOFUkscObSIyScDbuHsobJ@Klqp]DQnPKW`OQxpT=vTuXaAroPc<?soIeTgvoFrdp[nook@aZIjBGn?NmaYqSVrH_dlHuBYm\\yrMWwLIe?_sG^_VV[@gkBin_ps]IxkG]BPsOovXicc`nLPcdBc;XIevsOF<oujcgXAWb[g\\GHkOUHyeYAY`=GPeGlaI`gbJKYKWbJACKUIPws_Av:IrkADTQBhKtoMwtSW>OrucGQWt@sCHOxrWHLeCHIRq;FJSyoUu@OieaVF?VBYeDiVUIsd[WTOBqaBk]dKUHx=D`Uh<aIiUuFaHGUEN?dccTy[VFOHcMRIuCNUgGaiCkEjOY=iWiAW[icLEC`kfdodcGIkWFQmt>esWeeDUtoaH`]BkeEiKFJUinSWTmbKGh]_igut<cT:WVWuT_giM]FXmd`KR`?gRqHaGGR_urUT?QTHkfOuT^uyK;c=Qh?CWAYXROsRWEuQg^obeKtOmtp?rEcBFKx\\?BEAt\\kxnaHp]dwcHKaTRgs;iHFaWraICsVs]tNacFehhqygyu?ec[YyAyF`WYTayy?yjyEcOeBAhg;Tu[r>sYS?sCarRot<kVGuhc=Wt?Xo=HaudNsVQCYGcu:qXEgX@?BxuT^mWlIxLKU[cv]uDnaUSkr?sxRggpCw`UWo_HFSBPCw<kteiG_KfyeVAchvKCvqy?UC[oRW=ri[YOiB<UEW]rJsEiSUm_D@EFm[RCMW=oVMifF?hDagH]v>cHUqwj_rBCc`=rfcUGSYO]SvaCFwCI=erCsd[CpUxdYRogWyCiq=VsQrXswRsWqUVIqhwcuEMyJshhAiwuRMyEWAydWtraFrqgaAE[EWkmDd_ip=gdiEMgGOcHKgWDQvh=vogDUaRUQwoAf\\?wFuFM_IH[Bd[GgoDkEd:?U_aCooROQeW[GcGD?KrjgulOvAGXBaIYEdecrVMxdoYADyD`PvYoLIL<uleHJF]QGmtmYMHlVielnXTStnY]u<My`xS_dlNOl<vxNoymx[a`fPQlg^kQ?ZT_[iwlunjG@_Vn^TXi\\@qG?`G?eun\\efjSId?ykCQbIYv@p\\E`ukac_au;n]jfhaP_boq]qb[xu<`keibBn_FaeWAmdofnAapP]Kpa:apSa^cH]Mymc?ut_rfpZQq\\e^o^@[`ahNHsrh^Rfk\\A]nqk:ofLEbGb<YExqIYwRFChuwiX=XgMFbWy]itjsWbKi\\mRK_cKEw?KflmVIot=QiJYDFIHa[bb[ej[HMIClOeGOiBaXNctw?iK;SZQw>=DjItRChoOuBcDB;rQoCXGHXAyFwgIsSxTTEivlUq;qTbMXieYtMrmmMKERmUraPkguT^aNEHnXARnePcQYIlP=PYQuxmTVM\\qqTOv\\XatNrmQm=X`]xHUUqdyJexv]WC`xUTTXDLXLnf]N\\Uw\\DWEamh=mo@Vt`lilSQqnOdnV<VKMSMPs>Lv[aQJxq\\=V\\UOjimKpxlIqYhqkuVHeUbarWiuPiqiaYq\\LEMj^EtVdsWuxyxxPynlell\\mqQmkXxIIwPIL]Qmt=MUqj[LlCPmSdSRQW=\\w`DRJ\\ouiRLUP:Et[lvDHRN\\VfQZvVtbFisV\\hVn_@ZIol[@pvitsVye`_CInrvhdF^\\qdx?_cGhaOuVIts_yBpdFoZXNkb>]dauCA[Dg\\G_mcNZeH[\\_`qGrMihgntw^dn>hZB\\URXeUK;Xpks[aY>qf`UFyGunKimAtGADOqb[]VgOs^uUXwbY=GuoIqgWsqcx;TnoGuWUVYrQKs\\KxwIBx=VUAsrqcwUCQOXoUXp?u=qflWrGoR]?DPWhPmfTwWNSI>WG>UfReC=QDnGBvaeY;YZARIoh^wfl_C@?YgIb`UyrECF_CFERgqxKuY`oBU=bwaGXSimuWgwtecUmoCxiIh]uwKUuUbSqi_wExKD]uswQVMpsx`xv<ybUJlHMpQlTmWsmRJlv=<kIHlS]JHTSvQuCaJ>xRBpwDtX=\\R=iSbPKe]XZMoVaWbXt;@X>@OsaOpdNMpUNlkUeUQ<tvIP>uoPijh@JsdSFiN?xsoMQcyJkdjkXvliKJ<TflnPIv^iW:Lm;doJQS\\eYGms:DYP`MoLT>Dm>`wVLmK\\R`UkftOWEJ\\LXgilTQl`IssALadvGAULddg>lD``E@roPv:G[mavcF^aA]EffX`ZGnmuFgLGc_flNOD=vXOSeYxb_hx;dewTgOIuathwBqOIHwDwQciov\\qwFuSq[VUqtGeSOIDF]DEOHtCfcosNEycwFiGXAsDUmfPiuoKFBEi^EUF?vNYdHgEYCwj_G]WiE=xNiDS_Rc_U`UUHwUKWct[CCGI^gdTWyK=hnEckmwc\\tVuoNMLXxpd@PwLRyuUiIoAqpE@L]dvGUKQLKetmgXjAAv<XhCn[BN`wHaj_aaaa]H[vgkRwy?y\\YPhbwiSv_l`fC@^OAhSVZwawMylIas:opJn_V>fNnl?Fto?\\@XsPP]QoqtaycIfXGobpmQNodpj:ifSQp?y_svfkXw;HlifhoCLOf[MRsgcwixYuySGgaITM;tGYxtMiR_hDSRiuGuGx@yx@iHkedxgFFQH;Cr`mrPqyhywHIGPCrk=VkQF>?HG[TQMyA;uQwiryiy;yaaipWCO]C];XU?rXwdemYFqvhyxwGdwyYiyULAEW?wnKSiKiraFfaH>ORHWCIcIBywy=vcAtIOg[eYkqDiQbmQic]EYkYr=SOEhsixxqyxqeHcf??cn=FAweRMipQRMItlsimkF<UGxQD]_FS]IkgrdKT=URoOBIkHswb?KDQCtBwR^oB>[IJifqKX>OcKSHBQYe=vwGXNAT<mgAqbhctL[e;KEYGeVGc<OCdwB\\cbdGrnqC;qwA_GnyhqixiSw>GB=KY?iXEYEP;WIuclGX`AYHWgEKGEKVOifewd_MvLCfA]WjUYaUiBwHywD@mCHOED_FWgtrKrZQXAUeZ_XR]W\\]XLYs@MfFoCGOW=UTmKVyqeKqRwoY`YYHQb`]IwwvZ]D@WTaCu_gx?Ity=EneEawwisdfUukggpYftQuGUwgqSuMWiAYRsRWSstOUXmfVWVEibPeF<SQrutrtTG\\q_EqlALtqq`=SIiWI]R?IyWek^dQZaQHxmoQpZtSxLSymt\\pYGYm[QQs@QE`roPXl\\RrUXcYSrdlNMdDO[VYdsoob^\\kHjaovfAnTFuIaqkqrnhlW?ipIae^\\inivwnUAh]fbIQaDAdfyc<vwM@vxVoAIuRhtSVdinio_hSinggyw?kc^_Oye`^_k_ejnvuNalwmtat\\PpgFiqPcu`[[ps=A`bwwnpy`YtEP`sO`gixD`r`HnTfjKilQWoi`qlxtNGiwHdIA_so]>@ndo`MwenQcqQnQOvAiaYnbZG^Tig:Hl?Xki^wyvw?O\\=ibEgbwQ`lfc``sxfi=QeDiy^yZU_[=HctIj`wdRixYveCag;GmpPvXG]mX]f`avyuIY[ew_aQ_\\N^E^[>NyPN^[f[XOis^myGkL?t?NrHIuk_]rOkdoqbau_wvWX_r^\\[Pt_P_xp]EWsbV`Haag@]cQroYlL?qDNvCvbJvwhoa;Ve_GdUajyFZUpbvPhDij?^jsOtjG[h`scIuFf_u`sphw=?f`gZxXkTAbfycEWyn`rYO[sxsEaxHip[@rcfcHH^>IxUpuMqpKXep_qU>eEA\\kqcPQwq^i<qmnwdTOy:obMOxgwhANt[@ilOswWuyQwTNmXHhVYriQiUQlqpqMys_Opr^wOI]KpZOVucQ`jh[b^vNAbbgaPOZd@eEXshfwea\\>yjjAffFbOVgBWZf@e_H^AAcoFfw>kM^jGqmmNpVY\\yHmj`fBOi[WgpisPxlPfyPOvL^rgOZ[P_kNrnorOGZVifwqb^HkR?fD>ixxmk^sbntnFgLpnrf^RAeUH]\\^ZKvkO@iT?dAOfWw`n@q?Al@IfIVpdh\\PXboOo:PoS@fiwts>afhlHwpE>n^>vj@vixt>gmsw`e>uQGlYnhOGvrnZE@u\\x`iNj<oZEvchpmVvh@gsHWiSQolg]vP_qy\\Ufwj`msvjao[`yjuX`=NnaaaXqtSIaVva=?lnhuLi_?ob]OhlHe`ObCWuyWy[psSp`Eg`engXnm;PsqQbOWs=IbwXwhQpyirJqhF>sjIrIga]acrg]YNwN>fr_maAe;ndl>qA_vmisnqv?_[Ga_M^vlGa;_pkFmSop\\n][Wo[nrBysDpyi^Zlgh?w\\IYfHXsOG\\CAgINe]Y_QgpNHqnQ[Nherhrpwl_FgIputga>?`ayxZvbMyt`wnand^fq]nrrVugNroAkQHcJv^NimP_s\\Nothxevk@NjC`jo>n\\nfw`bk@mWfpnXcKwqcvbj>le@b`ywHW^Cg^Ol^Pl<txYyUC@NhtVEmK:ypyXxRyNxLumlPvXqJIX<XUe]QYEyI`Y\\YO=dyiAWeAWTmn_LjX=k_LX;HqKtVaYpP]MD<NeHN^QWpdsFhnbqjaYRHDt]]OpYNhmXVqVHAsemjdYsyDXimQQxLYdXC]P@QSTEjYHRLDu]=S\\DR?LNN]Ye<MnxM>MohPQXXVUppr@qDlj[HYx=NU\\NjpQXhtB@RQeJuqT@mYG`jM\\nc]RKUs:tm>llHLj:\\XWdtG\\RGPPtxLB<NbDn@PN]mneQUEuqK<k_<lFULCPuCPMG@yA=mDhVrxKWMqgIwFLJKdR>Ex<uMU<jOYV]`jcXM\\]rjyxVYMyPyotmdUsyXJRps]uLIUYxpYpVapoapXx=XitvstfonqvyFaUvgdGs@Ff;ax=?oNOhIx[hiscF]=fxVXtRIyaim_Hs;@s`g_fajvpgAHjSqe;`mnVoQYwjWrGvew_fywjaIyeqcboq[ihip_N`Z^idywbF_ZGWgSyec>_lF^wFrpw[?wup`slPaKH`>OxQ?^pg[gRD[FCmg\\KhVYS:?swAS>AhaMVJ=i<ibM[fGke]qbheUMaskIdkIbUyBX;wu=FDORwMSGivmov>aFpSvJStlGIuew;ixGIeCacKqGOQD?=gXkceKT<SGJ;iJqhsgyfgsaACvue;Ob`eenOXM?upCrh[DYMYGYs?UIJkip;xC;cNKXv?WZaxZicteunUCJct?muPACTQuUaTbMhGGIR;bCwWFgTFagRub<eVdsde[vWCRyIHUEDXExdkyIWwImIvavFGIwmteyGVkyqWb=YbAwFQiExsxTYS:uvquYmqi@mXdQrEwU>SdjusgwICoD>sVVMY[[yhUbKiE@WiheyqQx]EY?etlET[KCjMtE;CXCSamT_kd=yDCAEJMU=cHRUGFQUpgx>WXjEvDoyLIGwgvDMWhuS_cdNjNmymDVnijiEUCEstpNfUoKXTPeKrayyIkxiwpppdal_EuAIyGpn\\@pS\\Qdev?tPVHwk=XJqVO=sXTwkmUjtuvUra<yxyNqaUqeukeo?XY=eRVMWeLlrANy<uJDm<isNmo[XU@eTHtnnxs?MWHusMTUTAJlhyePJOQSX=jZmrHQX^eP;xk`EmPQPSPWphjkaRVIXSlx_ltGDlSULnpTFMyFpnE@NAPNNiqRYlQhN[loBln;PSXXmOMkEtK><q^LQQiJHumNxtdUluiVuiTEMu`DqdlofTNjASMUp\\eV_IOlLu@`pKxrNxQOLJCXjeMojhUaIp[\\Mktn`MOJalo<K]xqPtLAqrsyuyixRmUsDlC@mqQURtR`ple`pmXJAljOlTBQotxM==L]uMuQMXAqU=OUircIouxpx<tsLYsmyfXp@\\URLPoTUA`y>ax>YwXuXbIkAyXH\\KnampmtCeyWPWBDnYaOWUXGyqnLjEYVh]JZqSs<vBdo=\\pJxYoywOpnsMn<atAlMwqvUyUIQR[=x^UYADyjIVhXyFqpSIPAQS>doqLRXLxZ@kwLRe`JkxUQlY\\PPXyQbIRVljD`PCxRXlxFpQUYlLxO>@mRersMvD`tR\\UPHrwELqLUX`l<EWShx;dmmpqqppcAkxtYhPSh]xvMjvdOj=TdAJsXQL=LvqRd`U_<V@@X\\mT^HTRqxGDPlhSXmoqHWdUMPluBTmZqORQrH=mqaPBPyeDXepsFHtiTVJMuAdyreLHaq<@kDuk]ujm\\TQinMTXudsFDX;TyyIpqqNjQlWeVw@wqptTYVgQmepsvMqIusmMtcaP[DN=\\N[Ll>ARL<SR`RJmNOtolqoydq\\xTkyXOxxvPyN]qD@oqqUk=JNlOZ=TN<K]mJLLP:mvcXqMYxnMqIAUoMWRYxTuWwUWgQQaPQG=Rw=RBMTYyOndXpewTYrTtyYaxyqjF\\TIlrklrf\\TKyRsxXLIsqtWd<pLlrXaqEpTXApp\\U]esgdOPpuTlmxlYrMXbQv]UNEpueMjcxlP=VWDq]LYj]jqmOrPx<TWXlSiiQGHSQiUOPWJ`j@=kpeWEHYPIKqMpTMlT=nqdUXdKRIyuxX]iwiELQlulmwWhriPr_@JYdviTqqiLIdLyHJUiJv]RdarZeuVDrpuKxuP_Yk\\ty;uKs\\jP<P<qmFHLbPJ@xxbQY?QTWmr\\Iqj@tX=ldaR<=p^qle`wVIL;uS?XmZXk@mS]\\obhRwDukDk_tJLxUOerJXJeEJclUMujkTn[<k;]k<HJPIllIQWXKKxTOEXDDjYIsNdUnmpnIUGIWF`KL`J=]yidv]qrMLk;MtQYTGllbtN>PQDayhUsShNrAnLlt:mJl<l;`K:Xy:mqMhVQQjMun>yNyDXjArfIt[QteLn>LQKaMoLsJNrVao>W`:iihFfLF^BGbbo[A@rHvmHngwayqnunqnmydG_fKNx^?lCoxi?llGmngyJXkNQfJFfR?cx@v;yswX`qIty?emOvJFCsChCY`EX^=us;Y\\Er_edPMtGgRVugOSTX_rC[vNwR:Mb@QUsoxesivKWjWSterbSu<=csIIKIWuiun[F:QGOQtJeebuh:UgGchDEFCcwRwr`Gs>oRw?dxmvmWXyYvIqI_KE@QgCQyYmyiWgpeeAGe`GXNSiP[Xw]b`irLCHmKgAmchwBQadB]u\\OGKEt<ui=MelmVR[IOEgbOgT;bdWiHeHjoVNAdI;bfqvVCWvCh>WGjkGrGrx=rvIxFeyAUhvMSGGFIQFCMfEQi:Qhh?fXQBMYGOsgJYhLQG[Oec_TNMg\\Mfj]yaAc[McTWUAYcN[vQCIusRfaUOkYfOHcktBeE[UusUvJ=DbmTa=HxCIpET_]Dh_E<WTbqVRkEYkbLkrlWs@[X^acMgWSIrfOtNmxquBCmdvqg;oybCgtiyEMYvmx^gIdOY^[RYcb_QFJmwVSUbuHUmsEIUcUfQIIXiCvAfPotQkeRgy@yFieEXsESQY=YsDge<sG;QrvQvjQylkd?Oum=hLegPuTQeVq_bJSu@KGRig_ohOmhJYT;OejKFd]FdwC?OTX_be=i\\cWEeufKH]UcRmBtwt^ohhqbvkBh]VGYsfoUBccGOYK_yD]fwYg<UIfMINqthEC\\OC>GVCsunSX[?UfSHe;vI_CHGXmaWJEbc=F=C=v\\o`^ef[UYpoNj<y]XXZexbDxraGmKprgapO_sIwy<ysIg`IxqhyhxAxI_knAn>p^yvxm^w<Y[Qyquyp`QnpIdu`qEObuYvMNnoNc>Xkk>`COej>ulvfmhqFVjl@y`Gd>hfV^l;G___fMnrmvkMfrUO\\enrUfgBXdkYttQgcorpOnE`tbn[DfhwOmtX_q_spQivoZWGboVsvhsRqcDX_:ikpy]i`_y>[OaebNkGVjeoyGNdOw\\PoxugfNivDYiZ@_YFbbP_O@rEVsiQrS?nh^oXG_kxlU`uJVtHhfw?wIx^yqy]wkxirAqa[IdaQuUHwuqyEYw`pTUsHWrpsUOMGTSxGSgLeVW?ioUsauilyiyQXwmetuwsutJYgYeIkgVA]eMwTLctnKc^;YpeEZgRgUdHKi[utDOc`;UMWf^yHyewGgU=WUPCBAaupgdRQwgqEtqfBOEg=VMIcBkRLUsbACm?SF=HVPUL\\qFIx@ykGYyW`PQAK_LPqqSo\\rMuXlyOwEMYavOyo[TqhTPDeN^TyndWe\\v:eWMMVr]NhaNxlPWhL?Io>LvOdyhAs\\tsJqJGLn]LTX\\ns\\P]XULDpU=sWLolDLm@sdilHTjOpX]xs>ltammAYP:ytu\\vbQTt`Koik>EYJPT?mj<IYUAnFasuur@mKFesOALWTMH=M@XrDyVLLLWElQdwniMDXN^<SHMupXt>@KelruXXLLStdWOLoOMpuupGarOeMCiXFqkDeUbAoDPo^`ofltJ@n]hndLrL`tgUXF<UxUNYEMVYw_UwJat:hkiQuNTYhHVZejVIlQmolLJUtuOotyhde^Z??u:ovTYxWPq>`rc`yv_ytX\\WqoYauk@qc_gEawLaxbabGIqFgv`^`ZG^fw^sOk^IxChg<OeDIiRWnnokS`uKX\\WIwNn_UxqnPyLH_j@s]xqxafAAxIiqja]rGq:xb>?yJWuVaeAX]?IpyXaNG]SN`hH`[w_>yhoV[Qyt[WnGvx]g]nNpP@rJ>rqfZrPrYgseWd@^pw^nKy]KomRp\\lSkERrKgjUwB?g:?w<sh`Wf=WVemTYOul]clKtNcCscIoCu`uhDUvbKiZWX;Qv<UVbIBNuXB_baauJwDQeiicxP?sJiHqefX=faaEaYboQYZSBS;;@ba>aY@j>vfqnuRw[<hxIn]e?dZxtXgyLYmXWciWyvad@HnB^oUwaoGw_Xmqfq^NuqWy=?\\>PnT_ulpgOp_v^kBogZggyypF>gFprHwpiw^yXyuwt?nyF@ZkYiyO`\\xqtGshihfNbZYqT`v_^n]aorFaxqv`q]xNa@vakq\\tphD@`FHrQ?]Ja`WW`=IsVFeJYfEOkDFdJF^fauSXcNpeM@pg?edq^@OpjqgQ`evGssF_fhcL?_IGalQyKO\\SojOaeL>l`nkgGq>QulHuj?loo]xivYwqjydyxquooWAksWwpXaAxi`ylX`iaYahohG^cmitT_kY>^yfa_^[S_vk>yVHskYrsv`GO]>Fchvl;Fh<``pawS>yVGuaDrAUkcX^_iGSeIiuL=v]Ag\\ITOoXeOXhUHdUY?SCeMIHWFlCrpgUEWbc]WK?sOqw?[vvScbmeNKdc_Ya=u_Iid]FUGuK;dRmuicDb?F`]ukQGEGuZevlOccSDReeXSwDsRBid=?rxUr@[gv[d:eYaAhvyCmGWmaVwiHeAH:iWRcETURUmFZoBpab?GR^mFFsSNCstiTD?xmCd==FfuXgqVXIXfee<Ye>IXagt;ecMYFFGtvEtmqU[MsEKRqKIs=y^QgQwwJwMvxxjIt=uNiTY_iNjdKumMSYqcuXTuMXPuqIoAIYDYOqtkI@Y=ukvmxUew_pXwylpxt@yRsqQ;UX^hv?drvXnM]j=aNnhKULm<APG<Nb`vNXS_=u[akxhVm`yv\\WoaxiDo<Dwndl]@PnuT?lqW@NNur^xWhLvN@wlExphNNPO_@MXeplXPRuyALPJHZBAZrxqRijWhZ;?tHNwmYv_VnnqvY?oyAuUXsAqkiFswxifO_DYa`?tvx_Ay]HHnN@x^n\\YQoOy_rily>yAxowWxexmCxvqokfPaqveS?`eG^vPjU^aI`w]Q\\NhxkGk^_[pNulpoq@xHQskooryqo_nrVdKNwDqvWHe\\ihIYlfNhWgmcX^lihoxt\\^x\\VhNv^B`jsPmWfj;wkepeyHoxhohPvSY^p@tj_cQwxfybJPwVOns^`Fpq]FhYitVpqeA_XflFXpthoHAe[_`IW`hYhOggN@w=Q_HVaGI^]hpCFjIvinyn=Q\\Kisqp\\dhtdxuwNlIi\\jfm:VlXWZO^_:wbe_xIoy[v]?Qrmf\\@ak=fZOfeG>]k>ZRPd@hoJXe@Hn>Qelh_j@cJ^nKxrAhvC>cU?sRiciwjeyi\\wnKXlJIlqXu]gn\\Fjn@cJqoTqhAp[pxcWNhKhllit`nbpXj?yB]IVEXaod\\YTx]Wa[fL[FZtx?qnrioYmvEhKZmu]xWuUwHYShPp\\AQGyvlpyO@ynLlrxtoLTnYSBlrOePJaRd@YZUqbHMlTLmAS?txO<NMaWmtsFQSFEV?tveqY\\eYouPIqjLIjt@j=iThIjLQOFduOQT[@liPP;mjYQPHtWKuqd<n`DlT<uFMkUyJvdmM\\oLuNklTFmpZULKiVxdM=PK`@q\\AlQeyEQy=Lx]`W_MrA`TrTXBQP^\\s_HO@ivRQyG`t^TXjyJndtA\\xi@P_<JR]s_inUqpSDR^ERN<kJYOrmJPtK?mlHUskDP?XQLll_mrXtrFdu\\PsvAnC`RCIyIDYlYspHMrpJkpybtOAEpaaTMmlRtMpaVYuPAYM@`mcxM`qqY\\lPilpasfIpdIxd`QlUrqUSWpSVijKhOjunrQygxpO\\jETU;lL?qpDqt_XVDyVj@NpDtgIyJilDUsNIkCqTuhUF@PqtXeIlGpYR\\lDTNjiKXlyxIW@akVySkuXNQjIEKSaL@YqvuXAhKYdLshQFeTHQLa@sciphAPNHP=uLOanvPWGDudiTotU]DtXLQgIXL@k>aVo=PbMSt@MstMZTrIXVTHOI=Rslwt\\O`@M\\xPBdlS<s:mJlVZZqaJXp^`leFhOGaa?oP?xliZFI__>\\`HlcGmh`Z<A]RFZEh[fngyoioauHqoHGtFppOy`gP^^@Zsf\\dPs:@_dFm;huwYqEPrVqiA?qXFc_>oG>b\\phCXvlQmcVdW@l^@eOfdQWnFXlFnr\\g[N_cC^fbGr?_dShjKXf[P^K@]EqpCakrGlr^shyjsHcNhr?F`@W[s_jaHfJNasVy`dXYGi?Y]SwBCgi[cHOtbkRxYYXof?KwhCxH?BxUxeMgqsipQsVWCWoHfyIj=xEwXNKT>[hIsivQhmuGK?uqsbJcxUsXYyTjwU\\Cb]sFaksusWlCrruX;AYilll`SeASq]NELN>UMu?fUIekoZCypGyle>kDGq`?wFAKaG:sUcObwmvlMfeOBO]WOORGYtiQXsaF@MV\\oI`]EtOD_YrocGLOCJQFbwU_?UQ_Cm;R_uS[ciySf>SbsgblMd>mBjoUsWU_QJ\\LS\\Um\\UyZuvdLvYDl:?kKqpWHdXYt_itKQf`?l>ouJo[VNvdPempt^hgk_`xwgRApxPymf\\RgkvhxewpfHmXHm;y^HIrHX[pxtWPpNgmvyifamr>i<Yn?gbaG[;w`bF`VV]@HgZGte`j]OuoHgrOxZg\\<xbUVcWptBgi>Qmd>rL_us^qRnjKWipnsmQ`FWoAnrAf^@DGCYmuEHkupAI>]Vlex^gTi;s`AIPieXKEdWIcGd^CCCitbuVKWcNCiR_BfSY^[vBIUHWbDGd`wInec;CvFAR@KHJGbF;buYcR]b\\gwJEXa?dOyiNehFCGkQfZkhO]icgW@]DeEdMUcSsbLkHeshguDgGcoaX>aWUUwmYi@YwUmcSiGU[g:]EJ?ylCs\\Edc]s]aCHgV;YvHIe:AS\\EGievmoI?EFF_C<eV`gwxWXnsGrohrWwRmPUQuOIJhxjAPjvPQDaUAMXbUMyPP;uVZQSmdUJlqv]QE`wsTN@IRYHmniMQqLqEplevfIoP]OqaUkunjMUTEQYurRUWeYqPlngUxc<WEXq:tpbyjC]RfamgUp@UWh`UbTJNXnb\\pBHkt<L=ULetv`UqElXH\\K><jVQpNERKErLAk]EX_TTBqO<MUTLS_UQblPFAMGdpkHVByooexMaZt@saIpf^sXnlwO\\?g[EQpcfkk^vUq_CqhVaphFbn`t;Vsl@mjicK`nxGvvix]w\\W_xGvsmGikov_v_qOgoHfsYxvH[qwioIsB`e;?mMF]HxgLpgDNr>Hwa^riaqiFavO`BY\\u@duxymxpF_daNkF@`SYm[WcRIaL^hOYZbP`qPdiAfd@xLw?sStqb<KcSgC<oIXyXGKWuaWXYGf]vL[f`mxrefHCgK]f=AVNku]YSB]TI]UIet;cTWSrnMH<StO=VuKwd=U\\EsQCb>wusSEwuDCOFlGHSMSu]w@MeGLnSpkf\\muTp<mKBLPLhNb=LsuY`@Na=STqjg=pfTo;toY<Rxdn^dvmQp_iKh`T<@n_dt]Pj;hngUugDvL]L><J:<L:`N\\@NdDTc\\TNMQ`MStpLtG`jVf^Np>oc\\^p[WxRN^YpZ?apFphbWf;opgGsAa[J@`Qalbhu:vrj^ek^kqwxLQjBFfcvqbvaQfyDgpNWjUF^DN^MipdwqOw_=gbpAerP_VNiEQgGOsywxqxgIwrMIpva^fXjHin;IhqapkXtbHu`Idp?rXFpqqkVFay@qeGreo_Hi`pvdHIaOgaspfrg]fQp[W`s^hEItCwi>YpeGf[ap`Pjo^cOG[Eo[UAdOQaR?jjYovOxcI`mvnu`lupbZaeDGvainxyuhvnM^kOItYQ\\:wxrV_gP`ZG\\Wo`@oeoxcUfaXgvDogjXZF^fZR@KH:kw=CyHQrs;IHGGqsSy;xguB[uRq[ClmhUeGQED:khwECrOs_OfhADQIXgEDXsCHmuxavaeiVwXoeY\\MXb]LmdWI\\vuUoIMjKmn=TY^LWI=l@umB=VaHYr\\NTdlZLT\\@nvmKoij>EL@YVOEOWlp;Hr>AnxxrDxo@Hk:qQmpxLLVSpL\\<N?pPcHJPvtsxsnFoFGv[FeJHa\\Pi=OoaolKxd;@bx?bVwbXYw_w_UQyLxlgglaapjP]hNmPXnR^]DfxtgLIvc=WRmrpiGRkvXQw:Ib=KvcgYAUw?WCwEDIaEXoGNCc>mdWsimusQkSXIXUyHaYeEUTemFYqyhYwAyrFSiQerX=FJqy;Qi`MTHif@?D^oi=aurccGmxw[Cq_fQ[HOorBiSdyB;GWM[S?oHbYhf[StiUlGvx_yl;UkKSo;HIEIK[UdUeD?f?[G?EWdGUyiT:gDpYSLsfsQbHMu`As:uWcWw_OGFWSjaFC]VuSXsSHc;f=ORKugnAGiidLQfYMceKcZ[tDQTUGHLYfPatTgSVcrPkrHWfDsFA]UeWucCWYqc;wFWexpwT]=FQQDtAXvgesWcpmUBkBAscgwYEqSbOR_uRUAGtSriWeRkGF=fX?D@GTq;hJYd=SyX?uyotVeCM[XfUDxer]AUHwSgasZmb\\svnCXjMg[KEU?s<KWNSG?[GeeFZAxMybQebM;UPmTcgjVDQtmw^qlAmyqiMleTS`q^]Rp<t]uXWdONXkUmWRPnOQxZeoR<s:m:<hJp]eYcY>w:_i;`qXa^agvn^we>mRwlk^cHWZEVoC^^Cvm`^sq?f;_sgnpUvvrxqC>pBVgIWb\\nyKIeAIy@i[ni^D>qbYkLyfVwyu@^`fxyOgQvyH>vd`xFHdjo\\cAsl`x_FbLxwjihYI\\totShy\\gmogZeaomvdX^dmitRiyy?oMgumpoCgxo_hKNdBix;NbEhxwNm<>id@fGww>fx;afNaamIxkq_PHoSygnimGilpqiP@rZWtTGb<_`EoqVGpaW\\iPnyV`MgjSV[KWw[NeQajhwpugyGYeXfypYZmWpEXduvnIYu@piGFkkWmMQx^PaQFhaFmyvwLvv^WdF`\\COfay[WVeyWsQPxgoaFwqCvwxid[Yoeo]x^`yOwjgbxfpSX^GqjrgvO^\\EpuEp_kfsH`iq?^P@p_n[O@^JOry`^hAeph]ri[avv_HlJP]Entwg\\<HfT>j;F[xAZ;GalPd\\yfifbWVlTQ\\enrLFhEq\\eXhAok[OoMX^Oo]?OjbPmtFj`n]fNbT@dmfc]Au[f\\h>raIk_A]`^j`XbJX[BgrPXoK>koggWFnTwcsyi@hh_GeoIam_vR>i>A^hotI@iQ_Z_iqJ>ovQxZfjVore_fRgaNno[qxSfb<Go[PdpFtyFnwyZD@vLItmN^]@dDIwuGw[wfeYokFiQgtIpmXng`p]LnnTHm_ivB`_w^fePwah^lass_xM`dW?bwvvIG_IQ\\aitEydqneK`lEQdaNkq_yPIqAirfgnLGxrxxniqan`X?eWyiiYtaq^=Aiipo\\?scHrch_WanoapMXpQa]WnpGVgTnl`pbe@xe^yOvnXObSwooNdXWcAHrQVAuG>QsUUrRycuoIQuCM?dxGfnSYIQToyW\\kX[eDhOFWwgjuwBUITGeqoIjoDekGf;CFGtUIfX_i;GtpAH\\WVbitlEvZudn]CyWrwHJLywmUO@QuREVudk\\@o:MJKdTrAwlQymMkn]O\\eTOejZqNcUNSinLqjFEyhDK>AwTPJ]<TXm]ZPlIhdA^bDyk`WwQGbiPe=Vn\\PtTFttF[GahShl`hdOV`BH_iI]dhbPirj__LQd]Go:YyPakngf>Gwthr\\fwJVt\\aZeWeSQpYO\\JnbQVtThdoWkRghTHoHwmq>`Yqn`P_`qh>amGag]hksg`CxtNwsci_iN\\^ak?NmxVu<QaJHjF^vsWknaiopvbPamNgYPwbvalx\\MGkVQmhOf[qbSVxnhso_mmFZYAZHHfIaaOxa]p^PptbIm;`ioPdcNY[EWcU[Mt;;XyItOce?yd`Cc@OBs_eEGRL;UJ]d;SrD_fSIWC;u=oEuErFEY?gUPgSKqf\\yCtyYyAv<Ec:SjoLxilkxxLReQ?TwdUnadyjUXk]xatuvQwkITFmvwQyWtSw]yYlTGyXaiMa=UdlMXxVL\\pxQrQmqpUuAtyuqnH=LnPQI\\mqXVwqtGXQAyrA]Xg`TOELOPs[\\NKAkPyRfTMQpJCPusMmjTthivqTOXMY?pOr=LUpmsPjn<qlIN^uktPlT`mwpSNLL=QsLHJ^AvGDqZqqcpW;aSMmK[Ey\\PUKLRP@M[<OsmXPtxQtmBex[PUgPV>hldDNVuoQiNNxXVtJTApkinM<VjitmUoZuKL`Q\\IKdTw_yrXeYc\\Uf<VH<v]ITj@PEhmPIlr@qUQwnXS`PNuek=aRaxV>AoMMvrMTsEL`HVTMxDaJTiwpDmeqt=PkVIShyqwIx[YRappiquHTPJiQblmryvi\\Ujex_=pc@ysxkYipohLh]qrinjLTvQtatq`mrgXOYuY=Lo:EXftXItkt@kbhOcpJk@QFdv:AlwewEhRQELZAkZ<SB`MSml_PPD<xaLJCpx]DLSanA=We]xcawlUsLPY]QX@UYN@v:XpOdwf]LKUSd=l@HSF@QD`V]AuPmKq@sbTqBpU:en<Ie>_ldfbOVpO_^Pyrn_v^xbfwyWfwU^cI`cx`m^hk??nyX]WonJqoohfEAbiAv:oZl>l;@nKHsLW[M`eOItwygbAfX?\\dPf`Nuq`syAixGt:nZxwm_NZgw\\Nq\\Qfmbxp<qvhhkAHgY_\\kX]OH^pxljPa^`uwvn_qso^cli`\\qe_n`vghcG[@X]ly`y_ayyoyn_HgqYnhKo]wVtPaaJxvmNgAffdgtjiuNOngPr`OkmV`??x;o_tg\\wYtIpvRVcGVputk[cBCi=mSY;IwMv>wIhavHMyISIHxK`TKsPjC=oEqpnerT]vfLU_uqqyyttVbePd@x;UrvatapxXyyGiKmUx\\esNiuyPyxXkEYoLtQD\\Ue@L_Hp=iS:Akx=wp=NQxrDQmW@Tx\\KCHY\\qvGemTALmeMqykd<RdPRk=OVtTILmAalemkptt>plcLuIY\\Ih]@_je>]RQdMfg?fg=AfC>eHP`<ynlGyD>iHihbVmKg[k^o`ibsGip_xbnftq\\o`oxAj\\Ayiysg?i[Gcy_lHhgeAsYF\\R@sAYbe_vnOaewr>i`lWhpasBf]APaKf\\_y\\LhykXe<HudwpvOtYPvhxw?yc@?x_gfNovLgsqxjq>Z^IscOqQ@`l^wF?s[pp:OmhXv`QldV[]HuHIotHpPN\\ByhwGlEIr_YvjAmBxql?mYF_:Qd;n[=uPQBFQg>eeL?UoIsLwUc?rh;bA;BXcW>wWcsTqSUjYSc;y[qiY=bGuvaAv[EBmKftWVFcUGsXlMvTqv@MB_=gduWOWbeMVc[TZkUA[G_AXP[f;]SCCwbKVMUEfqWTCxhMdqaCyscCOBhTNVQVUMRruuE<lCEcLfepylaF_oFxQg]_iwkadu_bZPgMQhAgft?f_^jlvs[?O_sWeCo;fEQslgtNUdg_D]gGy[T[Yc`?xWSb<ofZQXmAw@MDTqB`OXPODnOhQahqSR_sBSkf;gi`obgGDN=HnUgysFvaG]SiXEyoqBhOsEGV??b;QVr;d;_IIefe?IkaWgiwI_dggUuQU=AUh]V`SVV=CPIXeie[USjAD<AClivhec@AwXyCNwbjKfC\\nOevklXOxxIXtOlvnHJjuyKpL_=M<hVaQ_Sa\\ipx\\`eZAgeGxBg]KokpprG^V=BqeDfIbY[hJoIdasZ;ClIYAMfpAGD_C=IuwmytEi[yXKkrB?GG_UQqUqoWGiDQcS@ETvWhdevmQDmIWfGBWoSQ[DIMsvaYeiTQUTCCV^KYCUDkyXyuXEIhcyXnWf`yhhiyT_BhAssEW[KWs=w[ybLov@OSs_hoUIEIYS=V=wbvkRLEyn[XP;hVMVFkbKUycuwIeyZ?WGiF>GbK_fjarMwbcchpwWYsUPIS^kbD=YFAg[IIR[IjsIYAITaWN[i[GftEGiqv^oT:_Gj[eUaWjkDNUV`CcXXL_qXMymMaPodOodvUQNFLJQHuLLOTqo_DJallxdVtLRC<VFqPBhqh`qXDtZqTLumi@RJ`Jc=wZdTcXSJum<HlGXTRIq?]wnQu@`MpEVQTL`ho[PK`<PqdjeIq]hlT\\S;\\uilvHesgMusHK=DYH<Kqtw\\mlnmlK`W@IV:XUFMNHdQs=NWxUUeV]@XlapBMl`Ut>QogupflwsqxMDqYuupPmNumvYwuQnZLmrikgdxZpuR]WByRe`mYURjPMb\\JIHW@<L>Hj]UQpPXEaRRUQt\\liivRpPmAxSXRKdVn=R<LNKTm>AsD@k[pubPJPAPXYKZEuHpss@Ss@TpyWVHTvxP_@KO]nEuughysttvdRruunhORXRrPVhLT?@t:XlfqrTQVp`k>Ip\\EP]qjLmWMElltVjLmALPJFteo[]PseybGGoYY]cOvqAtWofEivdwbo>ZEgkvYiwgh=>^riiPVnynauxqm>ct`qbY`w`xeA_I_fIAvH@x^qbMw[@`]c`pcxewHtVIuWxuqI[IFrTIcL?uAnxf@aC?[gXr>AnKxeROaUFjxVZv>tsGyIoucHfn@aJWer>b]_cp`^v@d:wly^ZxhvKydXoalgxOpZ@Gwl_[:?_RQhfhhaokuwZXFaJIgW^[BhlUfiJhvhf[\\@rmG`bNvZIf=Of:amoFxmwaqGeg?m>OgNpawAnrikqqtYpa;orgFh;ivY_y=yatdEKXROCXOS?GRQUy;cEmwscIWnoG:eC=[xOmIcSbDUIbeDREiUIDYMi?wYZyX]IeR_UyeVtYYYCHhQiUoyeyUBGwMATV?IxqbUotYExTKucAruoUUEum]FSIhHQycwe^yguuFO]iUWDbMVPiXveTnwhBAuM_TbCh\\YWiiDWSt[OV_ww_mbrmIiWEwcevwUssdYWiDcG`QC>IsK]R@IgROeWCb];RH;gT=C@OxUiFrGCrcU<CD;McyAEsmdV[s<qdEGCi]TTQBrevIUGLKEAgD?YCnEglKGImbXetBmraCVNObAmhwwYAur\\?HCMtAqcIuLpxWXiUXeRHtyIxjI]pH]PmaW\\eK@\\yIAqEUk[QL@xw]tmL\\jlQO@DJYYl]=qdDvl]OriqjdLi]XehTsaTUQlmmSGaSIdQp\\j@IxIyO@IX<tMdPrXEprurCPshHKRaRttUvDyZxXZQpqlU@<UPEJvHVdIjedTBdrS>j=OsGQaPWpLGk:nu\\P[xIsc`\\K@Z]_uwWf;q`fNq^IfOgZOga:YvXFcZ^pvGqQNpNFlt?fAP\\EXeKNicV^u>c;xl]qeoQ`bijWNoTn[<Vnn_nh@lIWrRhyQGyE?`=fi\\nm^GiTgiDWiBhep`idVuSI_rNd=ntP`xZ_peieginiVaeOjqii`hiAAs:Huq?^=FiXXk=Ykj`eI`u;imeH^jGvjhaDHdHQsax\\UNfThngWhXGu^QmGWwnPoyocl_uCWdXPdh@]INl_?sbNySqu@>rwybUvp[xe?fcjP^]ypHH^;onEFjvvsoQsjGZfpjRO_LPrZhrX?l]?ZgYjVGeBVlB@_\\yaKV_qXiPFf_Fd?PmXal`iqvvrBxuJAhVaZAP[mfcBPr:H]f?iR`qgynXwytx`KQb;``BYg_NsA_tH>`y@ZUntHhwsnsgnfgHemPoWqbQpqVNhY@y>var_xnHfHh`L?ydytyhaqVhGab;V\\_owrXpoIkI_yMVx@ppfoeqYgyVpCoaCObMG[:``MYc<HlKNnNXj\\XeBXujIwIgapivyouNa[tPjLyoVIqjoya?vKxbqayeiaUAqBvrUwbIp]YwpaworYqIxixwsKhuKvwx>pio^vYooVnUwcgQuoHsp?rINlVA^lYoaNabOgSy[]xZ@?_;v^ROhGvk=AcIHkjnkFynLYbYFiRoiUQnCfn^PvHo^kOthvpThk_Xh]h`mXtmVo]HdD`mnqnv`m;`]rImii`FWbDGmGnnHAdjfcm@pc`nbq^?f]\\hZwotsWvQpgxHmIX\\Lw^ew_VIqpicuF`H_f<FkYytigeIOkFFbyx[_PgsGcHpoh@rNWwbh[<FZk_\\AoghvZO?jwOvnaxcHtCG[Jin<@[WqkYNfW@`bap\\hiIpwu@hGaZ^IvZqu=XymWyiV^QHr;FhrqkAwvp?rPigU_qHhpaInwXphQv_w`Y__AXet?qw``DY_=ibRHk[>kPNg[ghfpjJVmK`c=IpnOjm_o]Q\\k@]Tn^CH[gojqVyD>lct;yx<QsFSuVwEcaXuCB^kI_]tLeVfQuNSdaWsvOgN?S?UIEAcNQcUox\\GWSGTdsUvkwnSfgyTiuEFSv;_C^=FfSGVtT_dvvmvSqTh<NHXV>AYFTlu=ultj@Ar\\qyVtXRMYPHm?eOnIllmplemw]o:QqxDPBiM_qTfyRklxhHj?eK?HjKLxQ=tWYU@mNxYSklluqo[itL<SPynOMQbpllQrL=uxXtkIPFhNZ@RN=RjLr^er^uSsHomQS;EqgMKPhOZHrbMW^EJpPOlYu>XxqUMVEPNXXLQWAhWU]kCYreynBymy=y`IYY=QHHTiTM_PMKxXb]P[yyVQpadLHmUFip\\pwaxykiW]UW_lV;`N>hQquvhqyLiJWMQnulWMYYYuKUnZ@PXtRR]kPqp:PPj]KsMNT\\vIpMMtYoytqhMtdP\\=uU]SMhjk=yYquQAXlUQbTOBiJcaxveximyQ@ydylsiYItmAekLmuVLk\\xnIpsFaXUar>]j^YM@=Kv`uAdonUKbUUupUCQRopn_dYEhlmQv;DxFHp<<QbqV[QN?mjIuR<Etv\\k;QJfhqeeMpaj_IWdiLNernUxC@rM@nRHqwPm@AlneKitvn`WYqR@`YFLSkQW^dvVAJUIXguuGXv^lOT<uUXKR`V:YwaAvrUmQ]vbTRylL:EOAHjQ@UKAJ@qyeAYTIw:EljyXLLX=ATsUNC\\o:IyiqKRqwdQXMmmkiscxJ_AXseNspWk<QpattYJOXo@]OI`MuLYB@TqtTjav=AlbdO@dLnDpiLjw]rSPMiXVItQhLti]Neur@iqvhKyPLTxnMQxHmJu`JviLauKsXPy@yRevdimcyS?aktdkYeQTeuOejy\\SZdv`ikH\\WlDN>mWPItg@s;yKAeJN<nj\\o\\iSQDt]DRePsdeLZqLTDukDUpTVc@lRtRITOmXo`pK@doqdSqlPLPyL`W;Ey]ISO@jDxnNLPHeOmerHlNRmsBivLQMdHP<yltdtX@wc<rNDx^eV^txUmtIAoeEtqtxA\\JmTJS<smqTLeTkxrNitlMLVuMf]s:Ij?Dp^YVoPw<XKHeroUkhDKUPYS<Mp]rjak?NxAIf`N\\kA\\cX`sptJQZnQ\\oYfwpjbPoc^\\FIZjwyKaZjgaGXk]?e`PpEFwyIrrghnH^TYx\\G`^fuh@xUfcTgoGf[T_w?V^t^pwG]Ayo:Gi?GZHHZIndi_ibNila`GGl?am:?\\`neHAw>fgIIs]Xj`Fkj@yaOjKOZt^hRF[xhsNVoWF[BPrBQnPqnGH]u`l]_oKP]y_Z`Gq>vvhweUO_SIdENwo>qZi^FGt<XrWyhiiy>ynlad<g_e`tCPrrnrBVm>?rwvxv^xCyc@vrI_mXApk`ikiruxouHjrnjwpfGFiqYqYwieyfey[hI\\WAa`^t`^rjYuGorFG[m@]knfu>htIp?obgOcf@e:atrAxOydOxotP[;ycV`bPHgywxBYvQflJOq<NvtY\\OWnrfpMgcJP\\;_q<Y`UpbWnlThuNysSf^\\P`ifdnieyPbBxi@Io\\v\\m^xIfb\\Nf;?]@VhEn]AG^oh_ggxC_nZo^=QsIYqlqh_^]<_dSgkJFul>f?_^khnsOaNO]D^_YFdmQg\\vbWHe>?wvgvIqe]@_WFnlHgoivyfqDn^C`tiQjh?qpgxdfcxHss@hmo[Tf_^Ajjh_=QdUQdU^mVXeUNr:_oJyxQqtPahpnp[od:Ynli^=QdCgjBG]lydcGcHPulFmyNidhudw\\Hw\\eHqkxnyVynQmGXgwIpjGf[GfhY`Ayb@ybdw`HOfGNpMpnSxjhooevnRoq;`\\bhu\\?vkxw[hxk?\\Rvgd@erosRqmOW]lX`NhgOpl>_`Zxld?o;`ocXjgahZVZS>[:ydYFqg^k\\H`igXey@scIcrtUXOMfMMYPKd?YYawEVWUVwuJwUuoXoat^GyiYC`?Ef_HYyxgyDoEGhWgJOcOKVjes?mFLAbkSjbUxb`RRET_HYxEQSauZur:qXr@UJej?eKKPRQMJYLVyElYQM<MxX@w]MX=UuLIuxYUOxPxHmXEPbUvQ\\j<qRZYQTiuGdQ=YTJaMU\\PEMoM\\Po@L>ENWemUXrJpuVhPcPRX=p<yktIn>ewbUQ^`j[EXMakMdMfTt<LmTlnvlk]Tljus\\mN[hOsIy]ym=ir\\xV;]mEIPmlWNvinotigmHPjhx[IgoYw``Ouu@iLF]khx>ia]weyQdSO^uxrxhhiqrto[evccNmsieuxrHnwaykXN\\vXt^nh;pj_OgNhjjYdXqvSg\\[ggMwmC?ayysY>nQpeFA]Whc>Og`X^lIm^>a>?x]opu?[cnjn@sFn^\\_og^cBX^aQZ?OssGu\\fgUqhX_h=fj=XglFkKvfPGyqa`Xvlgwv_phLvn`PoP^m\\FvE`a_Oegx^Txbvp^:_Z`Wd\\YvZabaOg]Qgm>oUp]Lx\\BygA`h[GZEVxa>^JXj<ilQ@pOGy]WjkH^w>lN?xLo]c@gf``eNv>XbjFdgwwdnq>qllX`sNoyWmM?[dWckng_Ft_Aatg_h?bW>fmPewQvnWvAvp\\V_vHb^ykI`gyOargmjx^`wrPqkFyeU^\\AieBIrVqpPiaAwxip^Ew_WniSIoLI`cpdFpgTVkPn\\gneB`brNqtO<AWxsc\\AVcaXuodBOUtKV>oSc[g;YvjovXGD]qyb?yd_iuUeb[uKothSe<WtnEwPGwcYUaiF^uulyhaaFq]swKyCwrIiY_qh[wtQAvN?rbKto?w:cRw[fd?xsIX^uvCmTq[GdmTtkDl;iMIeNwfgEytaeIyyrIrnCS?MRFHlEHPMaWx<Ub\\lElY^<m[]WxXV==thAQRUkT]jcMJ;<P^AWLmQleQiPT;pmLDQHiJaLOQiLEXncASPaoR=uZLtw=N=DYxPk;\\lEdm_Mk@lXctyVpukuYjAyYtWyYyXqSylxq`yWUkQaXDxmgtNRET_mjOtvievYdqW`QnyP]uu@HP:ppQEN]xxDxuIYjulMGXVP`n\\pnOtuOqno<JhyQ^DSZdP;HUFQrrYs:yJ^IT`<VSimpun`]lUlrf<YX`J[EWNLPEAljxU\\pXs`rYljcyNHhQGlw<<qXIpZXyr@QB>ZVyZliYQT[=Bl]TXAY=iFaqWO;E:oW=eh<=IIGe_eSY?Dq]upiwHsirecW]WaQxK]ds=yawf?YyxeyIqxY;YQwEqEc_QfOyySmdN?HdqiaiUeugtOdc_IHCVJ[C:mbRWDMOxRUDGYfjkFo[CPsRkoVowT>audeelcFjYhY]iWYH<sTwovO;XKOWWeErCgoYIgAhcyrxmih;d^OxrsfOyvTYXTcc[WSYEgB]Xj;wpYXIiRgIf>wsyWy@wd<ecByFfwWgcuvOyt=U=wfFeiwuBx?v@MtwMV@QFNQhE?d@issGyL]I^EUXmiRwdi;uV]W@=ewcccQsFOh^cSk_g:SfEes_OUFgwmwwkiY]gbOYdieTQ]D<cUDCF\\CwikySyf=OgoQuyaX][ECscgyILwir?TS?EUGi_It:yCakYmUUiefP[fN]VEUS`GV^iWbgisUERgipmTQsejgdmIrPeEKqvHYBXkb\\ASnkSj_WNMD>qb=GG>KF[AEI_FQSxfGEbuSYuFtKDDoC<_V@KHJwvwgU?WV;ybXyeksvIEr[WuYOYBkXdwi=kCHIgwwbpYrc?I;mUYmt?;YZIriuwsoVpuYmmEPUgmMuggr^kuYcERaIxGTeUylEXBOdNAHrGRSABrwyj_F?ixrkHNET@eh`UedEtikrkkxDQv\\siyqUratyIrDywGGWBMt=_RrCsw=Se[wi[wrYcy;CqaIKWIl?FQyxr]iTMijiVsyXrAtxcKL]NtYsiYi`?jwXhJqri>g?vcSirog]JY`NogwvjOfinoluooM@mmOwufljvnf>nvxdEY\\t_lbiaupqq`[oakFqmIHejQaDpkCPdLV^eyu>Q]lnpHvsIFs<Fbe?qvVddVlsieQ^\\Hx]vN`MaeT`mrfp]auWGbQ^aQnjE_fyYvp?gKNbmOxhQ^G`j:WeffnsgZS@xcGqtytootvYtyFkwXyIfqxqncX]hx]HNB[cGsb`_G<as<aFYoFBQxa_xSaRj_FZiSAAXJWY@MvrABFUsLCCLMTxhoREl\\lQnlRB\\tuERLQRGhjm<Me`tyPqPaO<@UB]sJTyhlpZ\\vgLK;@S@PPp]YvyPJmpsurh`OyqP]lOQUWQUUG\\pvPTFLQdhpwdXvxm^AnJhRfUvwPSNdq_dMMexrPMYHldtpNXTI@mRhK<\\Pcll\\mm^AWETpyttP=tqAMlmTa@RKhPeDuhIoK`M_fxhx`BPs^IkQgv<iogGkXHwp`qs@eCxaNAlt`esgxj>q^AvIoa?hZRptTgo_plcIek?]I?k\\@suFgO@fswdcx\\pGoYQx[Ok:ii\\AwWvr@PhM@]IYp:VnavjsWt>gMMrFoWSGWFeCOmFZ=ymSw;MwHwwpqvYKDowi=mgV;WBIrVWx^Yv>aCgOxE=BAcBN;Cp?rCEBQSgSIT=qBlwrbqY]us@ki@SRWSVvOXVWS=]haYTDOiD_wL?H`Ig?efLOstCVAQHVScSGdD[ik_tvWh@SSXAR@KxvgDPKG<UVoccUAE>=CeMtCWsEWIYKb==C:YIlEHjkDUcGsOHnEfSidegw?qvYmCgybRIb\\_UxuVjeTGmtiusGmtWIGQKwk;Xf;Sh[bcMT^ebQKvSQTtoB:iyAgFnSHEgGh[GfcIluG_orB]I=ECuKvAUsU=x<UWpuw=wxg]WogCduIk]cV]YhIYeAVlqYr=HMewVuGIkxZGFAKx=OTsStNAs\\mXOeV`arq=e>It@Me`chtCy?yxx_YEadr]ykChouHsOwdKSV=dZYy[ybKuhj?C@ow^KD\\mfnIuLWvM_dIiH[YcqouyoWgartixGGhKIfvEEa]RJsbFmS@[FmgftsEOyCvUsn?EOEfQCV^AihST@wB<AULkB@Gx\\QfDqTSqcdKXWgxlIumoudyUUMYPyeX_bc]G;KFpdLypsBYX`euOTOt\\N?AOKdLXLl>IKPAt?QKDEL`\\uePUwHPI`O`UlXmywEoN=joQoXulNIJdlPRMo:MLldR<qoeqOMQkgExreMpTXNmL\\=VhdmVuqDtPnpnjQkXHtl<lkqvn=LAEsjqwt\\o=<Y>]vlqWbhWyiWVLURDyh=oBdXO@JJAUBToadoblSfak_Ul=Psn<YvYWqqsWqunhMuMotLud]OGXYeMK]YrJUjZDKgqoetu?Dux]KQdq;LW:tjC]VSlLGAW_<Q@yretkLxVuMmtqJmdT@DLlTJS<sELrLqnaPXT@SrhkYTw^Ppueys<trAQRmJhXWcMukYQZQV:aMl=Kj\\sQIJutj?DnsIOnITmTVAhQ\\EXWPJNprk@pxiKNUP=<vxiYAxQPQXuPPKypYPNqUQ;@QkTUgtowTRBHvRdUnhjpHlR=YDDQ>=VEXwGppDHYp]KjppYaN>DTG`SfHkPIJS]TyhKxdwyDK=LRByLr<TEyx;LPGATKHu=Exm@pPxvmpP]xn^mUGDPIemcuxPQLZLoDDOQmn:<QbdnJ=J:<L:`N\\@Nd`kctSAuTbIRc@suaT;hnXLw]HngUXZhSs<Tc`Y@LJOMQ[@ucMqlyW=Iv?uJhMYAdq[DJMqTftNZYM`]QQASYUy@HkuxWe]MVHmp]mgPLguR<uTHLraPnfpJw\\u@Yt@Hv_iQkeuYyywdyNyRHhy\\ysOqYkiyMAUitjIeQrApJdKhEUJDXR@MaTLUTKlIR=pOmQX@`Re]m=@pPPT[<MCdKfUJaiRplMtpV`uXa\\kdQkRMks=R;\\U?DP;pVS=LdxoMqOJMwCqy_ASp=rS@XsTrVqTgxwbTnvHoexsdaKVLtKmJ]Lpv\\nV`o`ILxUw_el<=xYews\\SNTVtHnd\\y?QwEUPCIo]QKgUKVdqKPqRdT^lOp@r<tSbXRJEyFdTwLYkPLrPY`MsdLxI]SeArleNseXG]tBMtpPsHiOqhy^<O>dX\\DRrEWHHL`uJRtkXpS[mOATvX=VoemYyREqyLxl:qTjuoBYVFmK[dvqyksHj=TWctu@QKQxk`XRNhlCiuIdYg<q>yPeYRj\\JkYsPdmCPowPKshkt`xBMl^drbUYxXtOduSMOL=PQuVfIlliJY@LeywTAp]AX_DS\\dMfhLyduRMwX@OXQP[uw]@xj\\WHlP<drVTwTIxK<qWXqU\\MQaXJulJYQtHKRUSdLsNHVsER^qjl@OvYqsyu@LPJHjvAsCtxTaLb=NT]uZYRmTnJPremQrEPn\\yeuSxEulhOX`sC]uqARgueqpmthmYQ_QaqQguyQtEqkY_ytygwpdxWwHIngQ_CYl<arJaurIjtYgmApTFo:NfLicZfhSGnQpqp>Zhys_q[F?\\uxj;`uKPssIkZ^g[GbUF^dXr_hyap\\=Fjpwx_`^Xn`M>nX>x_Vu?Qw@p[RY]Pwo=>iJNvH`bI?rA^]VVZsIrB@vSfgWvv^xfNqc\\>cFAs\\odNfjCvcwV_iP^IInMqgUHa[G`miviv_WGi_ihYveWpyOyujIwPvcm>ilim@xq_w^Wq_[nkg?rLvxE@cjxbSFnAqf?YiXYy;XvuqsgxvEWcWybXyyUvwrwx@Qn:QwgpbmG_bpvW@_<vr[H`I_ZG_\\]yrE`g]?bNa_;a_q>j?Ig^O`CxmC?l>nrmH`=Qkm>Z[n^Hgm;GdmauSinFgxf?oAHlfnqUVrxflTxlbXZtpld_]rnl]AaBHh_pl[Q]Hpcg?\\SppdXwGnnL_mNIhlGaF`_]?uDOx>VtohplO`xf`XhrNhlfIxLa\\tw^B^elWtOHeZOqG_sWhpoXee?v[V`FowvikZyf^YmNfyxn\\jgcKYj_nlZn`awcHat=W^agv;XfDvbqXuoggAoaHIk]x^`ncIHhO?oROs[XtAohVypWnu=fkwYtNa`Dhxt^\\Oy\\[P[Bxe``klNiP`m;oedAb@Nxvvl^fcnXbRVo[Pa>NZKIanVhtarcWrb>`]>\\CWklNq>QewyaCNqxQrcHa`?p\\wZfVsnYr^Hqj`hnGfYgydigEIkiNxlPgAon=>vxYrLVdiy_rhsJala?lBOjnWlZgykIoOGtGw`Khui@lgq]To\\[_guyyvAxQx]wAvnPaaYmWWgWYqYWtsgxOnZm^mjO\\`n^p@l?InvAwUwxvf\\@GtuptwhpL?oFN]rijgfqDawNndpih_Wf`QgdPwbO\\?Iw;^]IXu<gdN`nt`s]Qskq]O`hypnaPfHhlwfdUWwm>aA_i?>\\kN_T@kv`yYohi>kGn^k@iS?^qfolnva@^O^c<?oaa\\s@gE_yOXo\\iihHqKpanxwRydig_saqE_dnWaO_cl^engtw``DWnNa_lAqWQ[u^rrnpoQnEX\\knkiqfENbixsOnpCnb=naMFdIO^h@c<XpMQvwywyOlIyoivdlyqpyyrglD`rvirZn[Wx\\Sg^=V^oh[CXq]FbGnjKHlDXm>a^h?oupcIp\\hxa]Waq>t]PlNXdwnZvWjK_ZGAu_PsANf\\Ag[Pf_GuIglipjcX_bAdpgqQ?_MPipIaOgp?gxbG`Nhxwf^t_i\\YdrQ_Han>Nm`@]gGyPFgeX_b_rgOs_F\\QObDWeN@cn_m=?aVPo:ym>X`Fiu>Qo:Fg\\Fdv`]PhZdIf\\vqKPvH@m`pZmfimflBgaYV^MnoHQZm@iKvwgGcvnmTq]xVedNfE@exPkpxhggfsx`L@`DXhPNybov>?^OijKQoUhc<n[kA`\\QimFb:gwyI\\EO\\PXpsvqxF\\uXg<?[tqehyZWv\\Ew]TA`;o]tvwKiomHs`XcHIjIq`TXxEF[and[vk;Qy<xp\\HasoiKgfnFrsNZXQbZygrasy^]qXgpGxtQ]FXkrIv@a[UXmrHh]nrDyh:VlkG]T>w[nvNijNxneFiSYZSBJwvY[ueSsoafCUf>KdCcRYawoSX][idiFMKW[iELWSNediccSYeTCrQGRBWbKQv^AcyCdfuH>SsmGDnGGj]SjeemoS[[X^Kil=YH?HQ;sqUteyB:iyA_FluwKibaSGOQGReH?esGWeYQeoUwPWxM?G[ghCiTjGWE_wmGCbWgncRbGuOYWpoU[MbkGchwc[CEn_v:mYjKC=mdAQcyirDsuR;ER_WJ=WqMfLwb=_T>MDm?g\\qiC;TAgbK=SfsHDUVEqPFyPwEvQakvQrm@y>@k<<O>HMoPY[QxEpUxhXUdk<]KpYqoYs\\AuKIMQpWF@qgUYh`jpEl:DYM@k:iqqaQs@PYAlI\\XMYuiDQaujSXX:QPY]XslM`PpPxnV=WhhXCDm;IPxxvLUpVQwSIlJlmetU?mTo\\oaESLDUPUJ]]sZmJ@QW?DTNxrdtnB@v_\\qQ]Rb=sS@OypVwLPomt]UUZpvSDSN<sMEoReLoXO`LLKpOOPM?ELm`KcLRZdpEhrf`oG]jDlLDXLKxLcpSghSKpROTj\\=OghTehq\\MKCHRG`sViT?XWi=qPQWNDVgDjwetLaSoxn<TsAmPFURdeLDqP@Yu<mW:YT>lxjaYktQxHY<lj;lS:iUY=qE]o@HkqlWFtMemMRyXZ@pwftPixGqr<Fn^@wPH[S>uVyZlrsaceAItmv<SIfafWQx\\eEGEW;=WToTieCPWsF?S\\]xmkGuQRM?IC]s>aUCmt<mcj?sIodEUgdgdGmG<wugEYR;BqywyKB<gvRGtfwWjyu<uY?ucx?H`Yrf[u=IVBMb_CBeaFhCYnAXvqTEaV`kxuWC?ogCaEqQCtETEKiqIxuqS:asJ[gTcFoWgLWCN]CekU[;bNGHdMw:QTEuwI]iiutX;UnmeIMRHAG_?WvSVVextctcYI<SGAmsrSxfyIbYHa[YpKRVqiyUyA_SpyYsusDAUAcuZSIh=FIai[evPOUj?ib]ysyElYYiYucCbHQBTqCt[dBYx?_yQODUwFWefF;TGKvlMfoqbe[uY]yoICQir:CCMGrLahbGUEUCEwUbKEsWXq]YuUvNIYsMbfCU;=BpcYCgvNYX@gYQiyakXx_VgMB>yCMwRhQRZ;Wu;tfMr`iWjKI@ECMAiPmYECIOaC\\KxSkGWOceur<oSuKssoD@yyJmssMSKwdoSFO]Sr]WR[GlIg_UsoWHL?IiCXSMCvssgeWvABCWsFqF=AVO[eSmbpyWbiRSGg:GXKyHy?glOImQTYID?ySIit>wFcQxd=X@cc]CCXGuIGuq?IEGc<]w@ggT;HiwtMcraMdSesuAyX]LO<KXYkUHxliq^\\J?MSGasmTlhtUMuuXHrmtOmmpjpyK]X@ImpuuBPOoiKq`ylyRWOdipybp]xFyxIxWxpfhvIAmNhnFGy@ohOauDAqnFvFw`NPnYxbuxxliq_yhOgyyqltp^]PaM^d?qy=ftQNcOwrUG`pXh\\opJh`sN_R@seXtNxvmvoZv\\\\ajjGap_c_AjZYb<A]dnndxwByw]Yb>`ZUqtWOfXqsVHa;wkwfivWfHouYi^@xkIggqw\\eXpGyd;qtEop<itEvvowtEhuM@hN?uyWeRqpq_cvyu]>p:fnYh[vqhMny_Pb_Ast_dk`vYObZwq:y\\DI\\RPdWGqVnf=A^FYnehufq\\jic\\^gc@udAvBY[l?r?agHVi]?sAI^w`v?NhdilTG_RqhbGhsFx^qcNvj;fd_ieRx]Eqyb?oNNqLP]nGdYXhHaZ_AtaquDw`Mhv[qlsgelvclP]cOi=Itoq^bwudgrHQvuNcmf_Egu_xdJy\\toc>gaLggxPhxOnqvcF^c<@e?I^R`qyptfOoKhkTNx@wubfwUXgwYwUweCQuaOyYViXnsa_\\PQwuq]XHySGq\\P`Th^oAw[P][qpta]SX_U@h``gdYq>AIiT;sDQeU[CTQ=HL]ySwgbsWWAecyt@gvPEDrsirOUO=gTeTrOV[MtXMH_QS=kfUCTu]U=ctWoSdOIGoB[=VUAy`UcvGvKxLdXObaNcLlwTmvEPeDsFdqray@QXAXssxjX@u@@S_lYfDoT@nVmOfQNeyW_AYMXrMtY`QoY\\jD@yNxxoXpaPNueYdHpFlyHUjMUO[QwvelgTnFYlfTwo\\QLITiQv[]wj@xOMStXw]tqDUtgQsaDS?QlVQNEISSmoFIlOXVN`jcuR\\iNm<RFilRaQHULQmq^tSUqPLDWSPo_ds>Tx>Um``MS]nb<xcXQDYPfiNtpwrlq:uRg]Ts`LU@n;YqhHwRiO?EwOxre\\RWTLYhjq]RTpSulkvTXfLrqLynHxCIMt@yuDwwTK[qYbXottucyp]\\OjtpY]nCYqXYxCDqa@TpMx]tSy]WnHqD=JyMNwMXgavjitiqyOpSVlYlYMyIqktprEyKytCIWTTxtlSDlr_awDIKFDvEdT_pKuIUrun@<rwIqp@oc@o[EkTYkN\\YXqQlAw=YRk]Wj`oY]v:`lb\\yZQtKiyAlmxhVMiQaXUGhSghPuxPVXXO]Y;mrv=RlTmVAR@Lx=aljlKgUtPXSWYYxmyIyMt]xtLSVInlEWhEONPk`dlualZLR^`Qc=L]twtmXqHQI=USqPFhnhUx=uMemNHqyq]q]QqOYl^DS[qrU<wHYXYuTj<nJ=NheyAyr@EL\\dpU=xutMZyjauSMTsGLvBiXWDklIYDiNBqySyxv\\Pu`tn=vCxPyHydhxUxt?EtDhLXipKlwulKjTsHLQgurbLwwXtEYvTyvqeNviSFULaml>`JNuRXDOhxNgMKKinwTL^@J^hqFPUF`oP@UYMnpmPZhuxEVUms>MrBPpq@Vk`N;iVQYSoInq<L>yXLqVlYvO<u;yrtXnj`rrMMAHVBdU:XSmYuQeUDTUC<yLdTThlLaTN=XZaL:qyp<TA`LB\\P[lxulp_AsMXlwYpaty\\HUWlo`yNetmuYwyEMGUwidq\\QRRerXtq_YUuEv^iSi]q;TXgUVsxO>lOo]Nduwhdns`Q@]xqUVytVddR^xRPmjILkYAkJ]j_TM;hU>YVUEwflngUwRhSGqKE=VJGxEPbfWeQ_]BQgn_f]aaOG^R^_EqbtqkO>rnfvfnmd^rmNx]vqiq]\\@]ai]_gqd_fIap\\gov_bKY[oVwsvjSP]valL_vbO^tv[@?h[`t`NsHAeihlaFqao[bYnnOk<_nenpsPx;nfUFcRiccooawmB^ZIWlj>[WWqf`wr^mRq[LyncQ\\eObFAr\\ypHhal@dUY[KOpFHpkFyVH]>HpTGq\\vxfn_aAh?@qAhmBGgKfnDghmarTnssggnpucghxYfgq`:nwIIp>^\\g_ognkpH\\DNnoVibOcR>\\\\onZNnqgnbq]i^]w_jvNysnhq^v>iihIjAfrVY]lwtBIpqNbD`^mH]Zq^[`xng\\uH_Vi\\=wrZxjANxwYuE^\\Vhbr^mm^sb^c]werpnBYl@?\\IamVHa\\Qe?yuxAbwqquy]shyeioshjPAsNHydYgin_OnryqyMxu`YxaapwwaAymv@fQqrEnhQo^Ai^`ok>_wIhogftQWjW@v\\`gd`]x@`ROfJ@yCi]qfei_b[qyrnkqngVwfuXf@Fngi^C^oIIoO@cLvkGhkf_oIGffox\\w\\X^ibwyAyyZgmQxj?@xKxpwhxvXcYgqb_vKAm_Frt_s_p[;no=S\\OHMQcrsdB[I^CFGgW=aTxWBH_rVMgRiYUegOaCqkBK;G\\_YQmW:kDAAwdaHmou?iYPEHuerXmgmQCZ_XPqfMyHwaBuhOjlY`howxMLEOqdJaDTYINgmO]hYpYyrevlMwC=MNtTFanwamKHU@IPsTrZqxFuyFYKY=UYUKePykPmjTT\\Yl<`rH<qvmnleynDP^qR?`jKxPChV]iQ^fwJWiyNrNN_:vc;oaSNdrIueP]O_giis>n`JXdXnfq_lyYoga\\GAiO?htGfKyqdh`nNei`cLX\\uykoNcmYdUot`iZFwmbotTomQFn=Vga?p?hsu>hL@cNx]vOuYwdbNrEGZHFxrY]ax\\DxrPienX]dO^QA^;AhEIeY?_gftjIuk`sPF]LWbZospURef]sBimIoEglGX\\gSKybrKb^_FJqTT?Ec_bMcfJoGuWtf?iIARdeDPgXNoHEedYaBgmg;OHgCICOVNIt`iU_uF`qRQes;sTGKFwKfbQxtAtiWwjoiyeTSGbFQGi?Sm?rhYfvOsVct`QsVIsVuRnwYfOx_YIXGTy]SvuwrKixeHfSGx=FbYHx?DwmDtYhOkHd?GV_x=QWEGUTyxLGuaMilQRCOy=Isfww^EYtQwQQHN[xFMyUGSyAUmwbcmX`kUbYXp;YeKsTmVeutqirOYb_]d]Mc@kH>CdDkW\\=RTmdkQxs]SeqHC[xeMYS=S^?sF?bPOfyKhnmungbnAMylME=j<it^DTsTYdQxR\\r[`WgQYGUVelQA`W;YtYhs:emMXUhMSeLUstrP]RNEVVmRULkd=qRI^bfxrnuqHg[Fq\\p[gWl]^jT@v;oaGgjS^vkVeWGy<gh?wv:RN_hFAX<QyLkbUKXfqrKMDL[x\\AsKCWEqV:?Bi=lgDTZELkTLBhQ_ymcuvjmk^YJ_IQ\\<od@VWEwVTQCUQc@KP`mMLr;hx^]qcuOwIPswk<IpUasa@jUAlByb]vyVfyfqrvQqgOvdxjTqaFpuIHmcHhKNeg``GF[[hs^v^oGjy>qjY_ZGuqv]lHfNAa>wx[YchQfygqwA]VxaIFglWrKheIgrIgerxwTNjSx_DXaHpbDQe^QsAordYcIqm:qa:hhIIp>OhWg`jwZYO[JGdevtA?`f^tP_bJ^aUplM_f\\oioaaR`\\WfkGaxC>ak_qmOh<Y]EHtpvkVfs[_\\snrZ^^`?^y^dKXoqGn:oyrYjyIwyoiBxidy]YV[]oykxkfOqZQ`tgvOxdxhwGQrqI\\R_gXabvvlV?hxipyr>qICgcyMxGsTxWyWifoWUKqthshKSuoeYFSv`;ijuxPCGQIssoCv=qYUOa@jV]r<ATrPOf=NG=vpXuhQW?UUCDP\\Apo`waMlrPvCynpqusAJhYT_Px[IkChUHdrGPoUIjYqygykqPQ_DQQ`UuhxUyygik`HlpMuW`YktkxPJO`L^tYMpnLTl]qq>]Kg]pKDU@<pHPULtQRTRMARx]r>PV^MldPPX<vyHSdPrViJ>tjULW:\\RDlW\\LPdQLn=kAIXRMONds^`ua@mC=Wf<rZLulyR:@QU]ScPWseLQYos@xp]StTjLDMY@MY@YuaNfhRbay>YJIxUMXYOlkfYjJiWo]OyTTYQsoQTBMurHQYTLuqMSyPkQuk=oKqwaylXPYjIowTuXPYEyOyaPV@kXpqiIjMht_xTVuXoLVk@P_qj<ATDYWNtnraj@Tp=AkMUKgXoRHWZdlNMWv@KOepQtw:pRmLpPUJ:yWptnyivBUX[HVqET_YXsQLd\\KndL<]XFeJDYv>@SgYTclJLeKZ`j>mX\\tYyHwTiX^Eu>emSyvyxm>gvdikDGpHb>mrXcfb]TQMFwuTdQWU[FesegsSoCuSkXHKfeeUbuB;MWRkVLYf\\OTO]GLECeOD^Qw`MWlqFKcBWstZ?hy]gd[RZYdbUty_uWoixAuWwfmubpcgWAG;Wy[YfAwy>AiGKdRKsmAI?Qe>[SuChLEg_SUZMf\\=foEGC[y_UeUqHd;SNaR]wiWWdIcSOse:mf[AsuISByDZsfuMe^mvZCFxiuGMI:kwIIhjAtLOCVSsaCVU=SWgs`cgPieq]DhCiFKx?[uy;iVOYNiB]_UFyVMkrEGFxkYbGiq_vSUvDWFSme`Asx]TdUicEEEqfF?RSqBVGRgmi;_yyAdxUsMCDekhnCr]St\\MDE_SGEdQgUPQWnuC=gEiqiraY`KEemrVgT];C:MR\\CB?sHSWYKiF\\ipu=QQnesQovarNG]Gouc_bSnkjwjX`\\RvjwNjew]QqpIO_Qa`avnlf`Fnofqa[xwuq\\i@qNaqdilavwwxwchjp?wPphA?\\\\_ypnvZNqCHaSPx:PeAxrQWsAPh\\G\\WFi<xi`Yd]GnoGl?gw_HuIny@yoCVqFW[?QbBIkNO_JqaLFbo@cnnaMxy_^u=OlIn^oGgsVgT_rlfhFQi\\>[PqoQYa@vwmifchw>_NmX;sB_yxN]eyKTAsTuGc]_g`YGP_iXOiKsxS]ruQRCwsD;sKCuvivaeprxwItV_QQVUt`LMwmLtmtaUvqyTFemSHvhty\\TTqTyFQmtxPbQp_XT_qrL=xEDVuhtXLjLlxhPvAMJ[Hu_DpwTPiPkVyowaTyqP`ERq\\wHQMgipXDtSipX]wuplU`o`LXFtnvmrk\\WyeUCEU;YTFvqTgfTvZJnePxumN`gqvVv^RXal^iZgkkpZPG\\RH\\Kh]oXuCNinOh^H]JhwsixJXjViwjh_RPmViqHn[B>ybH`sArrIpo`\\HyZrOl=Id\\weeq\\E^ZpAfwfv^a]C>hBX\\:HlLqpONcnVfZOch^mpQqc>kKVd<iZl@nlW`dP_FWmbn_Z`jZhZWavdvo:h^Eq`fwbsqh<Vf__x`NsB_^NWcJags>\\efgEqdl^oLg]mGlG@fvauP>iAQnDfhQAijfdGovbIfhx^CI]xOoxHnWHeZhs_Yvtvh`fsD@\\jxw\\hlVhgews<hwOo^CojUPyRyx>Ypt_gja]U`oFOcApoFgvFYiZXZaXyV@\\thvf`[sQdRosYNdSP_PFekPyAQyWftMGydQbsgtMg]Ow\\SYdQI[Nisffs<?oh?nw>]xfvEi_ZWo^_jHPe_^adO]HGfWIvoInYipoo]B@deAZhHgEIf;PoRPbyW[ffhJHrdhkKIwKoeiP`vGq?QpqPtxI]oa^sOmf@aH^tTQldfhqNZwqkdN^YQrKilL_dUNqdvv?wvWxvf^pGyb>?cJagagfE_vEAxvOkOp\\TA]N?jswbBgeZOcw`\\f^]ZQdWgw@GdN_nOGkJHq;X_Yo_:alah^_PkNVbFQfkiqp`q>WsmQ\\ZWrGOnvIoFQZqG`aYosAk]vh[`tpFkKI\\fHbT_ZHwpLps]^h`q]tiOmdqceVErmoXSUUxmybqXAahy;UuQF>guqgIkGfZiD]ixvmfRAY?ytp]DiyYOqbEICQ[yVwggOrFcX^oXBSxLSe_?xtYr]ie:yyCWIqmErauykI:etroe[YeTSFuarFkWWcbNotb_tY[fHETJWUS=gw[HRSw]Ocj]YqSeKABrlk?dSeQR^DNHAjB=rfIs=ukymxmtWr@v_PqIaXsHRREoTuovTq<DOQ\\s;uuG\\vsxMw@W_gwohvevotHlc^xBhta_^^w[kny>A^BafBHyI_kw?w=wgDP^s@be_k>gcAgw<Ff>n_H`g^vkQXu@p[:atPphn?s<?\\?@mV?sjneMpnjQoYvqjwx_AxnqyWVcmQfmq^\\Gv\\q^jybNpdbhp>^oeybgp\\^qj^N[IwmvO[TIpiOe<i^jpgUQiyX[f^xmopuilih]whvmxeZGdw_gfpyxxxX?VwVpAWpgt@[B`GB>mWAGSTgdKUFlmclGRR=xEkU;efw?h=CIdeTwWt>GH]wboqsT]WgkRn;s\\KX^_fLeh]KSmav;=RWSIa?BDCtJ=TB]RM_RLcWbeBDuRS;SrSd=WEXAy]=X<euZGCQawVUCAATGOCyghR[X=SrNmhR_IrGIQUhvcXvqhQ]grwHs?xR?bAmvkkF`_v[ifxgFHuusAv]iXiQrEoh;yvX_f>?eaiW=YWdkyruIFKxd[vWUbbMchaFKSxR;s:YRuQbPcUlCia=Gj[CT_R[sRuMhXssFEwTMR_UWqQjWHsTlSftJSiP>ImD]KsIjFeQg@yoyVN@k_YvBySf\\RIikOdNrATlmK_DK@IpQ\\uv`tb]vUartAY`EU<uYQlrX@qSgxJ?hU@dwheCvmLv[yAk?_ke_q;HZMPbBHqnGxJIv=yj`www?yCxjhaogfgTNm:pbvxxjYtM_gbQlEq_WYinAbHo`BgfCN_spcJIefg`qQlwweyqvgisivqvn[]PsGffcPbfnsGYd`xgbWg_ioSiwV>mUpmsfaTItpG]?OvUoxD>leGbqX]riurnkyYjWYaRFvIioN>i;Pb?xbmpn;pqtWbfFxAqw@pw\\vofPljNjjWj^@pHAe]ahW>xQIvvHhIVbDympnvdQnSgp\\Ac^n\\kHePXgAncTyfG@]niw:oiZo`EAtiAahXbCH\\@h]QY_Up\\jOuGVljfwLovrHadhwShwrfkCVckgbpvjOggugqlvZ[?vUNn@agENvkNrPH_XNi[@nNQvcvn@fhS@k<GkrXxNGaRfcMN__@w_Xq_aq:AaFA_c?fZPa^y_VQPMw<YYfur<Ox;ORC[GZmDEyh`MTscHb[rPWwvqvAkgRCeNOG;mWtAirgymSDqgutUbZkrrEflYsiIVt_fNaxCqs]yStgb\\[Hw=UyocfOU]QgF]f?UcTGGrMG\\AhYqUhgv^Ou;cEoCvnseCOgYUGnyiticNSF>CtpurlQcskGmstqIba_GPguiYUP@w[mq\\=t]dyuuNsmnopMtas:HMi]KuTsoMvXhXWxLQ`rDdmburoHtqhyKepcPKQaW_XSExThd`UYxCam>oZ[P]M`uR_bu@f^XwNQfUnbbheD`]rNxV`tB?tOIa>GfN>gHV^pgkBGePf_fY[M_l_wyrOwPOnWN\\EQkVq`pig>ac=AmWWjJfrHWmsVbXYq:fgk``Kposgsp_fZxm^V`misSYwtXkUPuOHl<axja`mnfQqcfaalxxBh]ppbAqrQqq^PkxQluXrVI`iayPqlvWb:yvE?[doyynxxXZFOpePamauqweh`eWgtWYtWY\\tx^aa^GPhH?j>h^^GfjH`<Aff_[rgqpQ]uG[ear\\AprFfi>u^VueWr\\W^=NZ;NbB@n:?lJ@lJOmbfcXHwXpsWGx_YiqqmuweOwlLv]Zir:@wEveepndituwohYq[yayIaayaqNhrnr[YlV^ebpqm`ZM`]XF[ZxuR^uXhr[?fZ^rkhlNHldxZZveUnpf@se?sfF_sn[SFrKVo?>s>ypg^]aifSV_f`cJfa_obuoZMw[insM?yo@o?WnVNgO`rS_m>faLYgcg[;b`wBcKY`UDtCuB[Tt=dVCWl=g]]toOvn=bEAWlywtKgowVkqwFmiagIemRwsYJWYNiiwehcqfA_xTIRwCRxIg^Ggvyb;qDKGhXoUXMxqiIMKi]sB?eFyuSu?WIAXtMWRSG`eUHIXhswA?yreDMmyrMgtcF>YcTEwq?DKQwf?fqMVyqfb?RiOvYcGHAYK=EWOBQQThcuweDZEStYV\\]SpDUKdtcPxL\\jLXTQavfHToaMNQpNhTWInDDXq@xdiOSeU[Tv]AyC`WcPr^YsBuXUMxhYKrqQgLveuTOEmZpl`HWSdXXpP@dl_=M@lqBQlI<lm]VQppjdjvTok]kSlQ?ixa@MfUP:]SqxoZYPntoJAnPLrMLqr\\ojmK;ippYPFLXZmmgqOV\\kAlq:IVoTjQPW;INyEv;Hs;Hv;mqmarMXypimBtJEDyVAwNIx`Un[xsgmonhwPIu_Qs;Pv_lR`QtEtOvtwHiuAyKXToNUKSilwuUxArAQLy\\YqiSYDuphXEipyEpP=udItYIqMIySPsq=RFQV]IvKDt[YxIdt<DJ>iT:lkR<n>pytqyeqSVTQkEtxhu]ivTYqauyXTQf]qyqNgQtQPWCYlEtR@tNdluKQQtIyBps>AO:uWSpk<`WrPSk\\K`xU<lwylsGqNhxr[Tlk=OkYyAptNdUQ=NRlr;UwSERlHuF@UMEPDQSRXWfDtT\\rQXLTaNtpqN\\pr`txYxAdW@Dvc]L?pSpTQyttbdllEKIhOWQSoIytTwDHRGljUEbfhyFHjiiZtpoUp\\;Qr:QdHW_cA_tHh^nskpdep_Ooy>NgaGh\\H]l@cGngDatbarNYp?^u:>ZZRLCTJcDckeYqXGEbfIrLOblKVWWIaauoSIqkgp;hjyssKVpatTcwvms_AIm_SYWhCQy^iFQ_CEYi?wswmyHwSyEXqkDTavfotpauFKieey:kwvWxEywvYD\\Iy[=gowYiiWiOYoYww_ccqXw_U^EW@gyn=thQvCwvmibvYSDAG>Est]WYcxqwHOWTdcc\\kVFgvEKBeCyRORk_IC=CAMgxCVBir]MBYSV;svPGVJsrPEhFMVumfT?rHMU>iYW=ENOiMqcwOb:KE<syiWwQeT\\_ReyUQ=itUy_;IC=BPmgUcrJgvBKhsaEoKfpeiC[B;=X]Auk_cMGxf[RrEVJQHW_EtCB`Mrcgia;UL_c:qrAmwuMbxMvCggQaU<Se@OUm_g;uf@sBAsdXkxE[iceu^wTZERA?ueaYN=G`igFCREGb\\]sDQFgow[=rGMsX;XOku>@tieTPETJuOM@MbUQ>pTuhtDXP_QLDiwGyOFAQv`TdTtpdkaIRmxvn`WphxJxXQyLhqqN`oFqkGpSyYwreWpEVGiLQ\\MxxwxMxKdOHPvfEV^=WeQwcYuIlSXPmTQXeirMULMEt=TtOawPEJJXwoPy]xut]ql<QxdvW\\uuAw]GuGYoQqkSynHgmxnidv]`Q[_QbVfbOQg?Y[dI[]ioTWrlggNfok^naOjmitexdYXiHq]Bqj[asFXat>q\\?_QV]a`y:y`^gy`gmdUcCVM?HIOStIGF[yb[c^?d_ktH?DuAvliD]cY^?vF?U?OV[cc^?yxIINgFZqy]kWx]TqAu>?YTYCooX`?RUWtaOGhmDxOx_cyoWE]?H^AVUKI^QfxaEiyia_yuiGjqR>QyfgRUOyPiBvKGrQgFUgRwdTMVBeDUMibgS[EvF_DgwWcWdQOuy]cXuT>kC:uWx_bF]tm;GPMebcljlLU`v_XPxxrqyNoxj_`WL<O=]tHAUExV?EJ[aP[mkEAjx\\ohHwnerHMVFIS\\qo]UqcEYJeLvDMUHMf\\TCALYYShYT?iktdNNqqGYWoeKnpqV@USUjYHqSaq^QymuSqLwOPsZeqwMqV]w=ppgEPEatR]jo<PHeWVqpC]SL@TlTQapSfTWmhsThgxY\\[W\\FWtkij[`mnii[Y_mvmvAb\\^k]ytyq^c`dBAwtp`L`wTXwuI^KyjjN^M_]Qqv@Gq@IxaNpBxrpF]BXvRVoMPtHpnupjwx\\_V[TpbcFsChrW_xC@`L^]UafFOxV_qMyp>ai@vbXPghXhGfcTVesqks`j@pdd@[;Nd?Immat?qrMO]Jvp:ax^G\\To]cVrAwmCq^dwaWXvSGl^pbqgpNOqknmFXxpotNn\\qqbO?]=wkt`mk^n?_j_ypt_dCIdBYZKxkinqbWccGaf`Zenjq`kCqs>OltflQG`OYpPackoq[GsdPka^vdqgRXbWnioOceFlmns@yi?O`]qsrYfVGs=akQvv<qqqio?o`nWcmakyVmsitxXraxsfhqbgvXYqX`ZesvYhe]r:YuqixAkH>UeFaWCkSkiEjGycoRBSC=;XBwEyiuAwsnisHkycABVir=ygGwsWMSAshFKrXmB==BsUC@AC@wBEWIdkvkqU_?huwUB]RAevL[SqOvpKVtoDPIgoKuhKwFKUFAD@Icc]f>WH]]GG?I\\ab?GH_AGQ]iBgy\\kvsGRqeE[oiX_rKcHgEUOKRHcRdsxf[cdwFbIX\\]skQhIaDj_T=qU__eB=XdOf@ehXuTMYxr_dNeTUoCaoc[=ELmIAKVYGwp_e]CSq;dYMYSaT`_VL?XP?D=avK]RNmD]_y?mYu;DEKEOSinGb[GEfkvTcd]]RdeiKCBtcHLatwCtEmfFMDOQrR]xIsd[aycMI:ocwkd>Ih[MegCy]cE<OW\\SCLUx>?H`MW`GFpaXFCYCGTeYTMMuXqbrqTFiYDEwNKwYEr:SrDGCCKbhEXIqhnOG]?EEyBeAEUgv@Awi_tgAti=Tl?FPuF]qv[=IqSC=KtHahj[w>OEbCX[aSTCv=kiyyi`iUUit=MCTWwKHnMtX;Ur>Yw<HOmxp_ioIQXnavbaJP=JvDskpJ:qWWTVyyq;arWyVxmTtMKiuV\\]sayOP<K@@raHu<qqsmxL@ovhWJlyuMjOIRyQjPyMiUpIitohU?=u@mSvMwrAx<elh]XZ=trqrypMmlV`xxvauO@pA`YuyKI<UT]TsiqEAvE\\w^ynH\\PPatqhqoauFYT@iJatUTtp@INM]opLxSEMLlqtQumIuYiJmiw?\\t[IPZtuTuRbAtYijY@qq@XYYUluLQuTg]LeXWLqWFMLP=oN\\Ky`tamoTIQihLHtOvYvohwCHurypy<PwHWfxYwXymxXwDYqATNqYKqpe=W@AYdAu[uWO=jyhJ=xvTXUfiSwMVShWMLSDuRXduqlXPqncxmKdy`HrTQmhXwAyOxdVUqTYiwrPYNamt@MYulWeYwxvYqQsLVv]yUtK@QXT\\RvLUBLMQMlepPLhw]TqDeouTUZMY<QUbEQNTwm<jg\\knaKkAXr`RD]XCuU<lwylkGaP_@UFpLEIoBDT^yNKhjkLrRHWdMoDMSDmjf@W`YpJHX[hLlAWHYmqYjZ`VG<jLurRMlluUdUSvEO<Lu>XSHyundsxqYLMOTUNHeTZptVDRJYvs]qyxqlEsseTy<j<eXsqmw\\ND@rn@nXAvqhY`Yo>`Wq`jK\\sSmPepXo]UaukVdQxuvqhQ=@MYhqkYLiYyUyPoyKqXXL`nQeVxdlauuBAOUIJ[MMQTujDL:uUIEn@=M\\lTM@Q?awZAW^@XrMQkumQLVnArNdjp\\noPrvuuqhUU@TTPj?aTAHjKpufpTCelKUN_xj]`NPhp==yLAKsEVn`UptKLHPIqVlMvyaxLmm]iyJLxDepl<XpEKSuys=k=AsndUFuy]AXtArNTLu<kEhRCXswinC@Y@dSBHUxtPotnUTRJEjPiqalMu=vkQuomwEpurEq:]JXIts@WmplillJ=VaLJ]@j]DScYl>DXZXTWEw<XkyHKjdSpdJSILoXWc]W@LQCaSwIm;tNtlLlTLr=PFMVM]KJ]O;MrteKBEWwqX]em_hm=mL?QKkqYnEj`UVGayxHXE=L>LVLDMWTJ=xNbPqaHseYVjyj:ewCQvg]Nx]SGeqePw@HMr<UxyLBPuaUVspPbaRQxWpMnXMQs=WTuP;LMcDJWmjWUobXW<Hl`w_IHeFG[C_jg^nU>uwOcE>[WOw@p^=xs=N\\R?fSQ`SNaHF][Pe\\A`SoZHX^u>\\@PZU>KMbj;gUcSQ=UrkfdwS`GVh[XNobVKw\\isned:QrrMfmcsV?Y`gSDIWN_FT_c<ESwYflIR_KvPqcbYDaosNCiOkb[oGHUS:IHguIpIyc?e^]Wb;rrIcCIrbOfgSfawwycYiieqqDDirQ_ixirj]Fv=yXyBl[gyeyXgxIkiuYu=SFOQs_SRpgWHaY`MW\\avSSHMwurEwR?EiuBXcIRyYhEgVcCFiwYsD`sR[CUpcX`MycwWVCuo[YC?RvyVHeS@UDXAexKShChh;ihUyxWUiyR?iTnSVLeieEHbUh?_uFwHOoBlarkmDmAgJ[E?EXfwH=hVcmkgaRHaU]hTT@s_LtVQmRHmFTnBapFaV\\MlXdMn`Mu]VOAlrik=XolLq[=YgukkmUeuPgUtdtKnivEeJtXnVxqitvo@UYqrD@MiUO=ilmhrC=o<\\o\\ppYylCipj=LHTjODqREusHLIdqn]JgdQSDOshV^UJNAJx`sZ\\rHaLQQsqYmi`YwiKJavOypOxK@AvdanStNbtW=Hmx@YmQm[XkaHM]QLWPwbaXETPZAvymy\\INE=rwybg>lS`beG_[IaNGbLawOIl@VlG?kJVquAe_WjuNqRhhnP[HajyFq@Ayo?kU?pJ_ZqvxbhyAiiJ_]HX_\\YdhF_Bn[HQ^F>kWhna^qNqyy@`N`vSNrUwsbOeLYbCx_PawNWyXVwsqdA@nnWqiGgLgg:hxVFusplLqfKIfkn`;obpOl?GcaalFpluXl`V\\h@_iV^L>l^Y]mVe<N_e_[Mxb:Ogy@kgWwtxlgWqbiNcULODQsubMXZdSumn`<tsYnopXuTRpQmTqLB@S@ApSxJfmYgEu:eUU`Yk=ylYOChlcpp<=yvyNSiuqeMdhPqLKR<p@iYZyXYqYhtwq=llhnb<sglpimjFLn^YSb`TL@kjdwPHud@uMULyAPd=U>XLIdNn=NkaYYipEAJIUkwiSO<VBXL?`uNPPPDKiEVBiQCDPn=mt<q\\=ogLmEimGXMk]M_lRZDoxeUSQLktLJ\\R:tyjdYbMkP`SYXjtMTSxmdHxfXpXLVpxnqHoNmvCUOXUsrtwRMYS`XThwX\\rOEUG<jXHTgtr^po@ApNmphiKpmSetRDAMYEocuvCyKOPtQPt<Et_eKQUnAEk_IWcAplPk^PkjqPLax>Lj?aLA<pjTT=xt?AyCioFQV>pq;QkOQRlhMbho?QYGIoN<nhARy\\tytXvatNqqfYopXxg\\jvEno]wchy^]P@iU<]ST`ScTw\\aYCaM`xvG`U:ttODPgixiXV[=s`muxPJPMXrhl;eksuYLXLZPrvLr?uYRYwuAXNajb\\nJAoDTOQLXC]OZiRNLy<LSLdmj]TaDrdMoxLWxXwL<km]og]kremDuYJlRMIMk`V?x[]ymuF`nAu:>[N`w]p[qFnHNZWg^HVwCyqO`^wPnby[m>\\RVh\\WxKIvEqt;q^Liwsg_GxpPXgBY`_GuuN_enlOi`ngtEffyV`cYwE?e<H_jA]ix^m`vWO\\\\_l@nqPvkOHeFwdH__gFtSpcFNfC?aXFabNs]PrBYuLgeKQ[\\GfU^jTNuaNabfgC^h[`p=nvRoZOVhQOadF]Qig\\H]nGh;_rqfhWfbYiiVVdbHo?nq_idjyjEyvHw\\V^tqP_EiphH_agqcnb<Hpp>l]YpHp^PpwT?swyp_Icgg]]iyaIaL^v_Gf>@qfNxM@lS>pVvrky^v?iBftbardVcP^nc`xDNlwNfkykf^dwWrOyZJVib?ssqvHGrfiaoPyyfmSFqkW]Vo[AxybAv<xh`WtUqpGvsGfgvFpPwlKHujffNwxspwOhi\\_nXhspWrMGrNy^@iuevdoymdpxuGySIxp^s[AvCis^Wc`G]MimvWsoHxQgfoWqYQ];?pUAZuO^SG`cntppZ>olj`aCg_>@b=Qm\\OmUa`aAt>f\\`WZyN]PPerWus?mkxkVY`lAspqqWvhiIi\\>[<Ye`xas`qixy_irEVyPidH_dIO[uFnx>]JivtYqdxm<Namhw<nhaXiIyt@N[Q`wSih?irpIlAp]ryt;hj]Y_Hagcg[F^lex`IhogY_qi_YFqNpkJ>sLXcxYu?`n[YrBFc@QuOyd`YooQ[Hhqqij\\gci^fGiZBNkyg^tI=EYSwGf[gx]EQmYNatBCsOOCk=fDAhlQSbMdfEEXcVbiWRES\\Kb?eX=tubhxqysUel=pOXXxCmYGawOLniiKk\\O>hyKLjctLlAkTMrnXVfDPcpVfDJqyMUMnjXQoerDMneqPDaVVpQKQQmDlcyMFEo@`tWPMY`MydJEQMr@MDhvl<WEhyyXv;tVEEjhYSgEoKLl`Pr[PuF@uHHQq`pnDMhDkStNFuPOEjN=wDPLE<Tw\\Q>mWshvIdyJtVXHShlMXlNPHR<@OrQxgqralywYog<qPHPPqmTxK=]JspjCTLMlygyXvUs=Qw`lnwhV<_iphjafasnsawf`aew`udgppogQOfgGg<^^_@s<AsoNe_GqdQ\\BDZYXfUyuoybKfNibcct?yys;Y[=ETmfU[bxgVCexL_THmcbqbSIGRqGCoXdWSgOvr[S\\UchcGoyGJor>GcfCsZeSDkW^_Y^Gb]]eTqbtmyesTf_bs[YKwutOxVgdEIV]KVZ;cMgwaqWglM[HTfQRgmohmpDmpOHSTiXnUTG`ldujvQjiYQHuMFHLrdrIaYgAJ<mujUtvaWV=ybIxJYKDxwRaTeHRkhwMur`itHPO\\Pu>an:pkjXO<aNnDo[lrwlS:]VXTVU=JK\\OJHk<ETlus\\P_CGjmqkYnahh]E`_Ea`Tq`P@rnFmRVpT?c<AalFiKwtbasFagVfrHvt?AfXXnMQvvynmxf@hoowaZqeEA]KhbnF[gqfJHxbN[kO[c`_^_hSIfNXm^PycNnp_jZQqTyiG^daGtuw]>`aF@ksA]UPv=fuj>[IgZL_`O_eCGwt`n?Wq\\a\\jGkAvn\\fv>QjMfbCh_tIspNqD>`JQrfPfOgeBGaeq[vNhjWbpgZ^_ggPnWp]yfavFuIfbMNoJ`ctIf:PnQOykwykyjYvvOAhAYcinkYvkH`]t^et@pNgew>]hYmsnirAudim=OuTH^GQ`=qpLfgAHwkIctfnQN`P_\\?WlmW`HhvnyoRWjT^bxxtE_s^_fJ^i[`dRvxHHng?n]w`[Al=_rIYvrnvKpjyN_<woZH^SwiFxxjYn=WiIfxY_qDVwBOmPhwd`a\\GtqOaPw\\H>`P^]uWuA@aHOrZ^l[NdjHfaQiwqsS?gNIbRX_wAphWyt>w=o[a?g?QpBG_]n[JhtUpbayZQ>tBOsJHtGXnqy`ypinAuKGhuoj[xZk?uHVjoWeq^gt`gqIxmp[xWw;YyApdNOswg^JickYZtYo=nqaitvph?`\\Qwd@@yHowNGiUXye@eyhbgh[LOwqVaB?d?na@`cYX[SwdL`_ffrBQrvO\\e^a@IoA@oDvwJfnPWr^Fe_nZCOe@Aa<ppayvstZMbh;tPUGvgIbetUuuRUXjaVrkGtsG^auKaeAyEx]Wq=iGDMelNPAVGmT\\UVj=UflrQlKImlBaS\\EPv]oiqJcqlPUxYDXmeu?QqbEK`xTadvjEJX\\ytey[hqSXxD\\X:Mx>\\PLTp^TKn=PMxJ=MPsUJmMvktQ`ywYQVixM`YJlTMSiwLYKk`KVYt^Tt]Hjw`tCYSgyJhEO?UogltcFsmfhH?pFXaXVdPxrbh^_^jHpcmwrkiqbniHIy\\`]=Ftt_joXd:gono]Fxn;Ixhqi<Wwlw\\jGfKgZWOo\\wZrx\\bI_WvkhnbGN[lfobfv@gr`GnbYiMFepokn@aEh[g`tpYu`XZUnpK`rVH`CHgmPbD^y]OvrhsgWu=hpvqakXsHvoGHgP@io?s^?tEI]?XsGvhOhccyeyYiKih]pffOwt^qqy[Syfx`^pPyCGhxiiAolKGsbHkGHm[pn_>y[h_pp`Eao[>wLPgSIdUa\\qy\\lnvrncdx^]`sFnqbOtAQeE__figParbG]Pykb@js>wk>\\uPnRqoJqnQQvJVncHpn?^AhZ;FwGfcPaupNe[N_ONappfJwb[AZGX]wvvqvmXIxyfc>Gk\\^uuorOP_>WcO?wn`dIAtkWb?vcx?f`p]FhrPPofV_`qe@``jq]Tx`wVp>^ZH`dqyvl>c=IvLO^>obwX_KGZYAwN?u>Ajpg^jP^e?fE_j_IsuIsnal_ac]?qggveFspw]]n[=@kCxo@a_CFdB?uHNo<v`_n[DOhJPmG@ptvxTaqM__rfZkgo^GvFOht^oeWgHhluypV^ewo^FnkiA`@XrxYdkOdNYxs_^rVgZ_`oqqGYg>^]sFxcxrfy_=ghgA_Vis]x_XvmvF`x^hsIqOxld?oWW`:hZ<f[kngacDIC^Icekv`KFVaT\\UT;[ETqtFUsbUYgUCEGg_ChiEwS[gMUeg]D@CyRkbY;G:]EBGXGMt\\?fl?YguEU;FW;ReQHF;YeeebUV>eXTWY:UYtcvSssrIWvWYVkR<QcGUFDAilaBZcyhkVG_DPOtj;FGWCvsG_MWOMTG]roSRPQBD_VPccfgsc_d<_BteCwoHkeG>=XFSsLqblESK_eyMrbObfQt=STMAT`IUfew\\AuTKxYQYy_EFEBD?DDSs:cIoUtT[tRmY_CF?Kb;oDg;GVeT@GY:wW\\otB[W[SPrTY`Akk<YoQSrHRuMx]xS@tUiukw`VG\\mAmxx=v:QxC`UcQkO=vrlxgEmjEUFTq:uY>PrgElPMXZ`rGYJ_AypIMxMSAXOKPlqhpFPwQPoSEWqXmnlsJekh@pDarlpvyHqJMuN]poaqj\\pLUp>`PrHV;xWupq;AqNYNLtVBHW>enlTY?`pedOy@Q=lwh<UHmV@QNLHmHYM?HklIl:IKRXkx=tweriMuhXrmeYeXK]=XhDtlLmqPT:`Ub]qlmTftV_`wDAX==XlqRy`X;Dtp@l@AlxDPllOX@sTiu=\\xfLMWAT\\]oOHtmURiQMvQnkMyn\\MbhkHqswaUgaJFak:IwWYmPUKm@xYXlAmwcuu;toY@rWLNiltIIx^qry=y?hKMhV<mwSuxrIr\\=VeqretSaaS]xw[XxVTsBiyI@VGqVLymGxJp]VEEM\\Xkx=U=EWN`Rb\\X:=SwxUFqM;Tx=ASF=N;TocdKs=LluuGPo\\yxp\\wt@pTMy<QjrqTutkMLtG<PaXOllLJXLCPpdMLaIm_ljc\\p=<v_=kRHYQHV`<vX`kiLXq`uKQQ;ANf@tfhYN`TaAWflne@P;<nilRYUk`QQx<qlpJZDj`MjXAM]YqPtyUMJhyQlmy>xxhtPR<RB=jAtn]@P>TuPToE]s]UlChr:TXXMytQowtkH`OFqtTqpqayItXchOoxmPpVRhM<dWKAJJmqb`jmlRshtutRNhR[EWP=L?lo^]j\\AkUmlSiyr\\K<UtntovPsvtwvxmMaVBEqiHnldYNATdelZ=Wt]JC]rbXNZUYLdpUqj[=lihuQ`sAYXSdsSUUW\\xw@NMhRNix?XQx@yGYqtYuGuo@uvhpqlQnQmu^hR[@uKMK;=JDxVQqqQ\\wF=RRdLcEkP\\k>=LjuQlDtIPkYitoiREtN]EWx]KoqPEyVoDx=`o_`xQxL\\hw[PnCYRk<JStsbmt\\MS_ljKXtjXPPIl`uxw=wtYXD`JtdPTTkU\\sEypXXKS]QlUti\\U@@JKIJFIuHMNwhw;UO]<lhpN@Ytl\\Qruw=ySFDlg@X?ETVHXxmV;lvPlj\\AM<Ux;yKVYYl]X\\qrqtqLG^pqioIlP^Zuogrv\\na`EQbV^]pXfMirrI`Mirs@v`WpovgpVw^_h_N^c?jQQx:OyWPtJA^kyl?@]WOn_@q_>f[h_JadIOj@nbCxiyYfTGgranOQnL@]]_sn``EftINZkImhXw>GgUY[Jhc_o\\D`_[HoDNcBXiNG`vfgyhfZoocHfTQrRn^kTaGweIuf?yJYcwKtBcdVqdbUXmUh_OXS_HsyHx?xo=cgYChwIEkxoocXKIVgutKTWIUxMxEWyakSIwVDcvWyGWIUyMvnYrqiINwi\\ewhWSpcwuus]GevmV_IyeuSvuvc?w]oUcOTfsgVCckoS:_gfYT>oy;qY\\OCugxKChrGcH[DJcE>GV@eHvGV=cYc[D=wd^oG[gRTSCGiiIkSfUEv_F_II^UCv]cgqBcaFJsvBgy@mXrSc@yUPivEchNoR^]ggIYskVqoDdmc]ECM_SPUYNGDwoI:qSlEXcQXjEts;B]=heiVaQVjQd;mdwGVo[G:QgLQYkKXpcipQFVsTUgVjYv@Khp]Vw[C]ebloyestZYbBIdkgS]UV_GTV;YC[xoiDtqUtECXud>CDEgS^AhGExMgriAY\\[InatCYVg_V[ouhmIJeUbLlqyLXEpuPqwTOH<WFYR;IrB]RC]YBTweaLFmTZ=wLPsXXKehYm]qxPJ<]oCaJeeMjps\\dV``yMmnjtq\\ev\\ArRYsJyrVlkNIK=ATkEn]aWKalEaN^aNehxJdTd@O<DTChSlET`=YILq;nxTA]eFcN?ltH^ZGiZiZsNmKIkO@xZFvRVvhHgn`uQ?\\Wf^Hxk<Aa`_reopOpwa`[bVvC@`wI[QVxkXwZne<nwynfFpfMQ^FQd?pi=n^J@b\\?cSH[qopGnaqf]\\X`[_iSQaIfeVvi?>feHfvA]F@vf^ylfuUFhwWnkHZSy\\<`]XhlfnlW?^cQjr`tAYcgyAoESUVoGwmEERGrYoBqcV:qbDsGO_ePMs\\MXmwbYibXibImEcyXS?yN]RLMxE_RgUsFaY@iG^GB[CTXsidSfJgvPmFhYRdqfaGxDIC[ac`OUgkRtoGMEgo?b[eVTkTpMCmARL]Ieybm[D=eSoaG`qYSCSLcFFyf\\unllw;DnTmt@pL=@NC]OnEJRll]ITWAYKiK>\\MiAvkXJgqpq@vgestDUutO`tOY`LZeuV<Luhs`hU>XULElSYjuqwDyyUyVpLku<W?urqmog<ksHkuQRElMrQUR]sbQnEUy@]s[IvhPY:`kutSsEXCQsEaosLSJel^YQYeVIhQ;yxy<K]YvjesEimUpWLQjJlMu]kaeSviWVqjgXUnxovEjWyYytQtMVteuTQwotQ=mXgat:qngpPN\\U_xt[PO\\mxbEWyalklwW@vpqutXpC`M]MS[mR@YSJenuxSupyVLmH`YoiMpaSTiNGQOMeJP`ToQSSEKLmsETtAYPndNrmsCAoqAQ?@KrljgaJAIqIeT_HsRLQB\\uJuNPPMm\\LODT[DlV\\qcYuZhn\\yNpTPkQyPxJR@ScMKMIlDIOOXSl=YF`XX\\tm`sJiPAHXD`o^\\JXDxBLY>PSHAKX<VXpLbikYuPZtnHxpfQr\\=ykpqtUuEyWe]mHqMX`oautfxjlXLgMqRuQpeRYexDLJqEYkHPhhmyPKpPMjaNYmSA=wKTJwLKx\\JYpr\\aKjHk=IXxTxbaV_ut:\\o[TKyyxNMLaTs@xJZaMQDO^uLDdtl\\T^mYa`K^uOdUsrlrO<mmDx^eVSAr>IUM]mkIWaAqh=Mt]OjiVJHNwqpgeKyUVbmv^IoDHTPdQLQX=\\wQUToAnnYV:uJkaQQttXiu:DM@LNByrRpNhUKFqwcaukhVqIVVlpbiWf@ofTS[LoRymAiVR=sDLRdAJMaUZtTFAOJePm`K\\uO]<xbpqjuufEXamtSISdumeEwmqqwXnZ]W^<X>xNI\\pCqsx<u<lvQPRPTwjmK:IRAQyL]Wi<nx@yTeY==XYamKXt[QLBykiTMx]or\\pk]RVMVwMNteK[Lxl@ndXK=PVVtY^EJlUJKeLxhJjQYbYMfDn@es^`oviL?mX;POaYS]eUjTTT`u<HOfikjet<]p@aMf\\TZtr[]SfxUo=KIEvfxPfEV<]NCUw:qlMXN]UNCAWGQpFIxSYnETxEdtQtohpTelx[tVtYUXAsa`WkYvmMVoqtW<UWQpA=nlmwT\\wmIRlpvymoLaSAljjPvF\\WKQVGMYMPKSTvf=kFNb^_eOHfVHlRArSAhMge:fvp^fMfv<Gr[Fk=PdYav]>vOV[P@wBivraiXVjAgrDF]I>tT^`Ha^uiZbgg^FyxNdv`dYGy^gyjYelviCVbK^fLag?>[<himyuSVvwwqLnemhwrGxIwdXY[x?h=xipGtGqwln`PwvDydTv_PVr]GrGguKOdQpiPOjbQdNFpmNq`G\\Rwu<O_apw\\aeGy^RGtr^`jyprFh@_[@H[MVdHXo;AZXIfpObtAv@NqXw_FpaF?cb_b<fweaoBPu@ogZnicH]SF^eh]e`mfw`Uqima_QIj?prXIr_YjmGeiI[iAwNp`inhJyZ\\Igw@hdA_F_dlftSHs;pqf^]]IrZAhh>]gGkug[SWtn^_kffk_jsIphn^xYxNnqYOZhyadonJf]roh<gZXAvKvk<Abc?a<InwXievtWwbna_OpaqFfuGkO^ro^mYOkqgyYPZhP^\\Am=XtMV^_picXlw`dRIhch_sBCSeBMWv;bn=Te]GKMUJCXFGbnKES]XYYcyGuFmDw;r[KxeaemcS]OVMuVk]gvqxoOy<EFY]HnCbv=T`kF;MH@=E?[WsQXaydYuXgesAYwB[rIafPiVgoTaaeROiKuxPktfGGTMD`eesSryWxWWBxSUq[fQWEvkxv=SL_bLMij?ryavIouqavxarkgsYIYaIIqsuvmsmiy`_BckXHEGSOeoyyxywIeukutqWHHqWM?wI[ieqeoUWimIokCiaYayRokHBYDX]EtKyUsikYcyixqwCU_rBWdMuXXYEwUx[Guq[i[iDikYcgdkud@srEcfciECgDSSSLoTniC<;XXoG^Ku;Wg`ocLibtoRTcgpErpeGEKR_UgSEwKGcYqSm;v>IX?QfcQe`KuLcxKGvKgdysUK?vQgwrEwo=RmAYcisHqt\\Yc[]DsorMyy]IstaYGQEn_D=CufgHcWVZGDWub=scX[ij=g<SwoIx]UvxwvaYhHmfhqEuat]WXMUXewYceX[CUsAswwBssvushfwhWSTtwirgWu;hOkdWuIb;rZGXbiF:;BB;RLCTJcD\\Adw_WKqenifkSuZEuSacnohrKcY_YyQCCMEPCBOSYfTlLLOvLkH\\MRyqiuuxXK@qOV\\ulLNJPyqlwrxRIhxmmor@J`YluuwvXyvYpHytqLQYxyRynM@OxImq]qVhMjywvAyQTswivwtow@wutyvArvWdUphiO]vgxdGtUxnIhmhnkF>j[a]v_wZHaOQaigxBnt:pmHx[xnhbPat^[TfrFHhdVbPG[FqcGqcvF\\hqopIrs_rnhsTai=^f;XidXwRV^HIdZfbnwj?ItFAvR>gQVm=`fui[UaqyFmovvU``DYf;yo^f^IYeGpfZYsxY]=he]Va;wuZ>`x^gHygVeY[c?AcsqHKgI=wV]SThkeEyv=mtRWtnUedIygyDgQbmGcd?CqkVfaSwGH\\goexrd<w<YnLELE=Mrpqi=M@XPF]TkDj\\Qx[pUqujfTqdHOcpMilxVducAX_<tf=YSQRTDoIETl@NL`Xn`PoUQt<Y\\ITLUjl@K`][qiapiovAbyIvMyra^swqZoNg^xguQoowlsV_uYswA^FFdmpu[O]r>etaimGr=viwXpt@hho_AY`\\X[PXrbol^o`LhpC@qcvcD>\\s@_Knfxfq@vj[?gP^nOGr>IjkPMuRx;G<acaCgBqSJahfaflSg^iC_wbZcCtUS`AGoMRr_yp=V^eflKRugWPKceqYCCg_wcxgxbcgKubg[UvQwgWw@sYxYvqoY<[Inav>CSvetosdgeusED>;XjySUSy`ofEqbukXwmYfeso;gWUrs]e>QiFKD=ksxWyl;xMgu<aXMivD]cckc]EhiKfViiVAFYohgwX?Qgj_DE]FWUV^IuaCDigrBlKjdnMPjmyvX]NLaMNpsCDqfMmpiYmyT[\\JFuKrDLb<J@\\KduprPNU=y]tU=pveAjaEXxAuHDrVyL^dWXiRyexTXvUMjfavtHtoTjeTo@tPeLl=`wNTQ=]uiXXOHRieOklwEewyYL]qWq=snyvfmWItXexQmYqIYQ<tmShYkapcQyfXW_xm``VSHOi`Vxdw]MKwhJFDoFiPLExAASbpXipxn`RwUUduRdlXmTqrxrEqTDyTutXCHmd=qkAL=er^Yk_hn\\=oopq;HTlPvvlLyQsWlWehtp`w\\mP=lnFHngtvZhPE]mpYJMArxuvGXsyEwOMM>AqKqYoYwvmNtyOGQVGaXDdxtiWbUmApjRekXeyEISmhJsQVlqrq<lmuxFyNflXZ`wL]L_YPoAxnaP>MU`LPAETKmkyPxotqCaKE\\Q]yL\\uQNtQohPyeriiyc@uNmtCTu?QPQQppIwjhxBmsl<TL<pG\\ro\\J^IlXhUh`PtLVwhLj@P=LTm`M^`VqMsWMoHLxPtmfMsGyPQtTOlVflQSaxwEY^Mt]Lw[`PsXtaqVwtniinexjxaM>DwITWrTTbIO?tyFIv_`jK`lipnq=pnAYD@otaRumvbdtXpxYuLthTI\\n:pRTHs>emXHM\\mXi@WqqUXAwWqmoqwcDWiaxlLYiUu;tn=TugyvWXV?dVwHTkuNEqLYdPFtOhMllquttPWxR_Lyxqs>HON\\t@tRpULRiS>qST\\J;hxIdvVxwdekLMPBDxwdOaaqFdUQyJ\\uOtMox`o@qLDiw\\mQypwFESFAkFYk@DVytUxarthTt@PD<p@`tTykI\\J[=JiaRKxXJQRHQuSAqBtN;lL^hsKykjDPfTVyUmG`putNnprblJNXpgaXm\\QDIv[lO@=omQUgLWpHvelPFHl?hMk@wh`wahVftrTLJAIQvYK=ASExqmXjAUMkyvTDmwTsnXScqqy=yHQw^]ttIq<qrUqPamq_hKh]U@TtF=m\\LygeNZXTjmO:iu^evgXWUTo`XSTQkeukVUO]ysZhRTtlGxwlpLVEjBDy<tqbhYPFkxG`oOwGonOa`JPdnIcWioFIeR>sx>b`vloPcmiZb?\\KymManW_`^@uYIu^piQHlNQmRIsS?arFifVqkv^Xxjyxnon]uImoXp=fy]vkYwhrPtYG]_ibeWdcInQoiG_cDhuSYxZQc]^u?_`AprP?gV?wjieC_eZQaaVaYYquV_PAaqFk@>dxv]wqlvheuP\\Q@mv__KGrPqZhPuVqkUg_w>sd?_QV^:qhRqtrXmk?`tibGp_p@eA_sj`rCO]oqdwvgN?h`>]lvvav\\B^ahVjsInC?`eIqJvl?Imf>eNoom>ghnZh_bd@gpVs`_hSOdIIsn`^uqsjpgpI_Ev]aiu^qutVgk>vNw^]`orNghvaBqxygtrqtwhl]?qdp^;n_VyrQoompdPA^hGhpHg\\gykvoOq]WY_P`tqawwi`G@lKQvBglFp[MHj_?`roaVhjTHlfG`uw^KV^Wi^lykPIu[n\\eHuNPip`olOaRiteacqOrNGbL>bHvwxwpZpddvb@wtjq]aimrqjegrZY[eO`DQq\\WwRvuGoayIyapytn]oIi<a`x_gTxemoqpimgf\\r?ZQgwJnkIvglx^h>^yQxK@xwgwF_lbWj`WwQn^rikQHuEyZBftmGb^Fg]FxBfubijF^u?^qP>fWYxvvrk_hSartQjd^ntpoJIqry^Dx]Uqp<gt\\ip_Gfwguh>tAQdHPheq\\eIl:QydiprY_xI_HAlDAcwVi=>w;fyNo`kqktVuqihyIcLVpb>dEinHhtd^e>VxVXqs`]nhvXI_I?cG``CHs:VfqqkW_[`ggjPkhoePofJ`m>Hp>H`QPuLWyIqgTwZJgfVaos^omodJ>fTGerNZm>yx^mmouPXpTVwfwrVIqUa_PFhSAgPYlqgySvawVa;GgxopwVapPin>x:QsBxxsypYnmVHeR?fvHpwWuSwvhIZnar<^`UgsJ^olG^yYwiosx_yPPrQq]D_^_As<v]<@dhAqVFg\\^l_>biPjKV[RgvqNyuybXQxPh\\uoxBAbFgZmh`TptXxd:HeRiaTHqnaZQPuqafjAl?gplGpSIqhXgRnb`VlkO_bpxGwsHamwhwv^u?ApbO]Uopd?sgfv>>pp^c]RS]TP]RjkbcGFnUd@qCjQUeoInoV>KS>yWuITfWT<ECI?vJwyswiuQwosHx?sReV=aIVsWWoUs_YRkV<AIB[xcuDmYioSSFOytQRGIuYyHsif=irxODyGtt]xKwrlwy`achwU?qh_QRBsxywxKStlsBYEhDgrCgY\\GWRKI^SroQUwoYvMXoAuZ[hCId=uRRwefEWhQblkryuSWKIKyuyOR:eWksVGSu<]DUaBEaHrsRRadrqEtYGnQRhseewRoUcuKVtgwtOVIMxKIWXuea[g\\AiTGVS?tZAT]cvDEgiKRGsWRgR`=hJMs]aGE=VUqegEITGrsMg;qxmmh[]In_BIWYhSIUYG>KvwUY=mw<iHQWbfsBkmxGYikuHqEtNYuw[XKkSPEs?wDdgD?iSREEESXLgXvSXxOULgfaGHFUiE=GlKrCugmiRl[cRsVr?WRStSIwCuxCIvtaQ;QnrMMDuyNdkZ\\KuqKQtnaln@\\pvmuFIvdHrZDK]DJCPtdXLdpT?MoouyvDTpMsU<NM`JNXvAtLY`PYAK@iqmLJidMBiMy<XdAsx@XluY]myW@XxAvHPW;LpwIQKIOatLG<YGuQ=yLd]q[QLaaw_UoQqjgxsJHXZDsoUQhpK[LX;QPtDlJ`lvAOm@Y<DoI<NmykJEobhu@XYiiQmyrymxI`lxIn?=W=yWwixuusv\\YbYXaxxWdoN=WgpmNUS?xrXdYfuw[PugxmsxN`yO[PmmMV`AvAxyc<MREPuEu_UQA@TJaKwLRrPleIk@mUJQQhQJetvlEQ;XpOlUQ<nVeyGMl>Dk;TsLToFulnuLBlmCQQ`DMS`RLiUI`teerDYkSuNCePtaYbhqE@yu@LyXYatuqQjBQLFAML`RRAY>ikfhTPHXMprFaLV<Q:TmQASnpWCQrf=Mg@WK`Sy\\Vx`rHPYVyqMxQntKXymcyqR]tmYN;Ajv]mrYSS`pTTW^xrx`UdUSgEowAP:dKIQV?aTshseqNbDQUDqCeORml`eKayuoypaAUNtL\\=pL\\rX<UqiNtLXtYvNUtdXsDXPmexGUuh`pl@kyXmG<Ps=tYHpTIvv]kkqlwERJlR>APWQtUqWHMWo`jR=XlAWclkIELdMW^@rM@J?ArslUyduRHUF=ojlM<iPUuvYAyedYiLySdpAlsDeXUPOhmJddmODKjlRJYu:YQVDY[Xq]mX\\@rM^xRGfhf`F_[\\VhQAo^FoN@iDvshNtKQiLYxGV]PFwtyvRIvYHycFeDWnwIhAqwwpyaWbpnZgGjtasvoeZAo@`omQmuWfCi_PxfmG`?f_qqxx^k:F_cgp]VtAywy__DPvWiiiNaV^aTaoNqjhnehn`ep^W@`bqfSncHXn_Wschd@Yb@^ixFj]foK@rkVoC^Z>wkKWcogZfvrkVbFgq<`yao`T>`Q^]lvfVX`qoynIv=^yNgovYiw?vAfvrW^egZTv_BXx?^_\\as\\F`^Wr\\_au@jTydg?eWn[P^gcifTQ[xyfLXtgYtwqrDFjLX]`aaQinZYgYFacamcyhDif<vnA_yrNc@Anj?aVHmppnWWnwndJY`QAqIxavx`C?uhIre@sE@fngyt>e[H[RiapYa=IysNZ=NejpjaqbWQt:X[Eip^Gac`yQhvR^yZGfLVb`wbYFd\\Wat^dXQaDieVpZ;Nep>]aHrrV_aOpc^_BPbdonZab:N\\<g_LPnZ?kFarZ`lU^alNn:WoEOaiPjVIb>phrGoUXqLVr<hkKv]_v_AWrf>koN[[oZHQp_ypt>hUg_YNgFh^Tfs\\NbaiwfnlMAv=^od`c;>dD>cxX^wwlvFvFGaUVhGvZkYqdFthhr[_]pfhkoZGgtJHgU?m`G`IVpKp]QIuFXZPoctQawgajIqyocuyxZHaEFmJV^@ivnwajAtnif:qjCAc?y_=AiH>`\\HoHFyLqrt^tHoc@A\\GnoTgxqHtiAdWgflFrV`djV`BfbcxeJHZe^kxVsepxY>hWIhronefkvvjUqoUa_u^lOxbfgc`OrRp`fWuTyyExayXx]xyPQkn`kgqgBVe;imqXy@OpoFgxFl>XpMXhQai^YbK_lQVdcQZ[WhZOcOfuugsowlX?hxQu;HZLPkjYl>w`rprDHohVtEN\\rXkkfoDInKFuNfohnypPegFZGIpTNjFVjC`fM?[X_idnaLGjkfq;i_D>waWpSGxKPvWiaIYpYxb\\GqQVnEXlBac[gwA>[OHtOOnLH_EG^BgdS^`XH[>Gf:Vla?`HIctf[JAr:Ama^uqykGomvy^lWiFQlufykGp;vq_`aQ__^ylpil_ppNqiN>h@Vv`ifNocTGaDfrB>hPQcyqe:PyyPd=A]ea`Doj@hvloxanygitphZ@HcTf[xPgNg\\X`j=xZHhcFys_NfygfgF]JO[PhfD^pW^Zjwy=X`aXmmokophEA]s`wtivyaxKIiX@d^NuK?aUTTOUkGwT]c\\wH`EiNWGOcvxyu?yrTKuO;tOqu>Qxm[GDMVt_d`ahNqiq]T]OB`]VeaCyMfcEgIsrE]YAOudKv:EsuCtoeR?wsDkSoUuGydE=xDYhs_wRIie;HHsrAsi_YsLWW;_G\\qDI_gXmC=ABqyhZCcWcIASXk;hs?dsmfkOhEoR]?F>oFROIl[rpae;SF^?eikhTiGSesNuBT_rfgVtIGQac>MiaOsTSDFsTl;XmoQYIl;ySILWQxVpeUnXPbMYDMw^]XwAW^hpJhwhDrThS]Em[\\sSee@pi>XnSNptWyBQwYi]@IqLykLxlunihQ`VPcbNs<?fnv^?aa[vqVQrZQ[svmVVs[NZGYeJnjFIhkpqP_\\[`jbPtHI\\AYxRVkmhhGaeFQd=_ffhbx?gBGieNktFeK`yG>g]Fh>hjcHu^_h<YmFNg>^qAaywoZ\\gb;FZgnc?X`O>\\IWv@F`K?^D^hgVnNYw_Qw;OanaaIgnyG\\u?uNAcIw^FP[gXfkHvi>g?QqeFkE__JQ_?Fi;hjfNf>ymVhmTv`@YgGPyr_hV_mjvwSokgaoTfeK?jvhnKg^WPtGfdEYqS_oQV[`Aco?\\lWn_?nS?gfqjdilUwsOVn]?`R^tCpgtNxx@mTffFpnKqvVH_OWZ\\nZE_ccykBIiRImBFp:^fknt:iuvHmxhvqxehysjxsWir=@]wF^;xjnpce>gDYrGpnaYqsgofw\\a?xgOhoiluxurqrOVoPGs:>\\PVnAWcP@];Qmw_[sVuQn^jwdnFqTOcNNjQGfhQZTXkQVlMXlAp[WN\\ZYev_^ZphuhuP>xwawmxsP>[XGxAN_vnbv@\\AV_DFbVHvXYiii_OPcIy\\Wquo>]@ob@oZAvZKhhZ_wA>vTYdEhcHVr^^rK@]i@u<ypgQjixiF_qypdFqusiZOnieVokNn\\f`dnfJ^cfHqWqypncwIn?F`Yp]IxqhGxTAkwGpV@rpwtT__c@^OwfcWqSOgEgwAptNGsEgdundEghB_hgXdEnlFW\\dQ`^psBvbXgkU?cGAr?wlSIh^FlnngmhwbFkROdBHegqnQvb;?\\KWkiAuHOnB__G?_^fws_m_fkZnmhYsh@uy_^x_xrhs<OjOvd?Q[ihhNFxkw]eW\\GPkOfsj_muywdw`aFyHitTgpYA[<@uDqf=^vB>bDHclVdDVde__=HsjFgfph]GlYwvRvkgHsy`vc_]v`okF_]Ovc`dGGwrasGq_Agl@yimgnKPtuHbqQbDnu=ipyVmIxe\\iuy_c[VanOht`txHopvut^pGNneIa>A^`NwRhpMPlcYyxOr=A\\L`ulPlVVhVAntfwQXf=I[Qhek`]pNmrNdP>be@eJw_B>sQFw;NeYx_CArHfgpqwkIwCHw;wfNQpg`jLHwcvgnG\\^F]gF`PGcowouxulgwLahk?h]AtnApAPktW`EfjlGxK`wx@uDXh_@qVydlyoG^[Ex\\AVkAw`GQrOaijW\\;pabheDayWqx=gv]xfYXpG`mgAu>irKvl_Wnig]B>kCi[<obBGw_grsWixF^FIi?N`wWx@WrIyZEQoBQguO]lAjnQdfpcKApwFZWigEFZ:?c<FZkf[khmmovCQwBqsJ`fMQnSN_Zaa@Nv>Ip`?cQX]_qZMad^``EHo@W`lpn>nqPikRI\\Jq`<F_P?mj@[=yZLVcVXl:pt?^vC`mnIlVxb?AnLilAPcfqlTxAWT[qrT]WLOdh_FN_YrqxZYr\\IYGoSG;fI[fG_EymuR[rm=sFcSXgCvusihtK=YL]xZ]LUiwPmuCYukQSGaj?lw?\\N^]MOpseLpDdxKayk\\N`<uVMJCHSlIPImPmIVDexYeky\\YaxpqAY[ITcYyQXPwmO=DmvyujytfENsXmGYKiyKIlQxtPCdotQMaeurw_uoc:fwmhpGWwlV_ywbY>^b>ZTqpnVp_fq=FiQIl`FjdNb;Pa>g^Xh\\wnb:WwW_aJ`haXke^k\\?dn`x]yyj^r_yuGHhIObF>gKah`Ofs?v?n\\mgsNQ_OOxYwuXXmHNnuowMVsgOfSqcU@]FxpKWufFmfXwsVmRhhkAdr_pwWpwgsEOoend[@xb@uw>o`Pf=_iNgkFFvsYZxnilIjuPbFiuN_dO^wHp_RXZAnumqmqA[Bn_jXq:Ywx`cHp\\bWqTgoXXihIqQoesgvevesQsxqyxG`NhraPZAyhmFeapn`pujqjq^]unhfXkcymmQq\\oxxitYgyOYgXWxTFhTq_Kqy=^rrxn]@bFHpFfuvxvvhdUop;y`igj>Yk<q`V@aTqmSpheft>XhwxnRYuDHv_yaU`wtafuwa>Xh\\YkavnIoxiPoVxpnxpffp_pxYpu\\A]MfduNmkAo>Fn[x]I@oB?d_yo=GaXWbQHZ\\`nE@joqcLOkRWn?Qa]?ejGr?XaHyaIotRgk;ap:VfWFa@Gpy_wYwqnXiai\\aAw]xcWPj@WlYvmUx\\ugaQVawvdCFg>Obc@kmAmja`LwbvYxkiiAoqmApogxEpdRo_L?ntw^yYlCAeOGpW@[BvoiFpgYcgYinxcu_nWNiSvh]x^sP[Ewp\\gdJgsk_u`v[uxwegeFI]<V`\\_toGh^^]M>niNk[F\\@?fLfbkXq_@jOneg>wUA`THssppx`[PO^xfsh^d[IhBgdhH[^W[<^uMh]eyh\\^`VgkLA_=w_SfbTxeTnZuneyX[IVaAFcn?eKHrigf[WtPilb^kBG`AOiIihaYfFylaVrkYaV^`>G^RnnC_pbNv``m`p`kPqJAdZAfmD_SheWgGYTKIDy;CfUsDUXW]diYWK[ukUsl?E@_dCSVXuv<SYlEBFGiHexbkc?;ipWTNIFPgChwXP]Bgcg@kBDCfLcDxuDaORbKhTYCdUh>QU\\wfQcwvyELmST=J`LwHQtbXU`LR=PwlPSeHtlhMU]yJmMM]OBulM@JjHNwLLOpQaMYhEjA`T:xRqtNfTPAaPfIjxdLLTRCdXCXLjqs\\LL;IOu]QBPr=ipwXXETX`TOBpWCQlmqr@qtNES;Tw=Iou`T^uqRMuLlt\\mqrUVB`xgpOqys_ek_eYPiX^Uq=lxhiveTO^`OhxmoTpcXQJ@o^ySC`qLAQ=<vWDn^@QH=k[HKRmL?Il@iPfDtedUItQdHY[\\Wg`NH@OdQkKDxTdVVITw<QsYyqyVX<ypINZUs?ioqLUXuTMpJcDLc]x\\QTFYrcIMmuuxXRQmUKymcLlXTS;dmTmlsiu<iYX=NdPPWytdLOwAt[XRY\\yZyJy\\y[yKeDv^PVk@O:Xq\\DK`xnaxQuIuIqwWYqq]V^]v@YMi]w@ypZeQE@PN<sU=vxEXFPQRmW>ysG\\u?IKYhKMyYZ@MqAKmacWv`knvPwkOxdhvsEYcaOjM>xjWw^Y^qfoyvy<nmkP^VohRNp[?]KvckGieo`ZPkqoiApaqVsIoqFokDFePi[\\Femftj_p_nZeGogfpYNgmfs?ovRo\\rGvVH]\\GcHOfQ_yMwwfW_\\w_D^a=Qp?>uHfrXvc\\pph?nFYkaYiD_okn^[hlOiZlq\\eikF?x=fdWI`aGtqfqhQgpYgFPgbPuxWuawfyWvqVwHpnA^bOfvH`pNwcAWffhs[^^nP\\uIck@p`NkZAwkywroyD`e`vr]>irIbPQg;v`bQx_QybQg`VhTyfo^^ninhnqLajKPa\\ab<qZ\\@xA`jY_jcP[rpZnOrTId=HiKvlcp]J`]vOoVyoBx__XtioxjVwvIeiXi?IePpddx]eqtUx[p@[V_lnFkv_n_anBHmQ`\\A`v:frRgwPOjK^nROi@>aDhfU?rj_p>pcCa\\uVpkvrChg<`oJWaXOmTWPEy<]cGCYegVUWGLIR[ojIlNaxQyTQVus=TKQ\\q]UJ]TsZeOXmx:XYT=jyhlQqxCXjUqJ\\mtVitBaptqKluspXN:XYrTSa]Jh\\OIHnPpSZhP[>jX`gJnZh@msH]koadH]t?cvNZx_[?oklIjGCw_eNIBdUubKBU]Tcmdn[DjccleCkcbnYVaIi]kvc?eIIX<kfFWi?EYbkGHQdM=ST=RnccOKYR?Vc;i\\SSCUUNArwmUSuH>atOChfYbXWrnqSGWCZeGEkEcySiwhZ=fdcGQ_E:Gf>eWgAT<gXNCd^_SXqT<EGIUw>IIbeeMYdsYT\\mdyqtY[YjIxmsFXOuv]SLWxs=tWwY^sWXuRPeW\\;wC=y<Sy`Ybvuyu=vm?eYEceUCA?WJKxeWEnyh<;CIEhsSdBwr_[WI;uMguZ[SKWsQkuH_g;EY;ShbavWkhUUTQGhEkW^SIuioimjA=nSurTLnpHXHax:aoQaQUqMXIpxetsMu`AOYToNXSQdRiDRc]pRdKdTkPDNkmWBpsZLVCIrY]Nf>eQAc=Ax<ng\\Ivppj<naRna>gsNQhdi[JNcuIeOoowIjD_dJ@wSX_Lvyh`]vvb[O\\PFcy_lC`\\Cp\\aOv:napWsV>r:pf[P_v^`mPfkqn^v]ChjRW_KF`t?[LWa>Xm]YlXi]YHaryuXAi[@yKGb:I`mfdvxcmO`SFbhprIYZKyi\\IjuwgRGQCEUgs`Ym[iKquuwuXqDYnYRYLyJqmwTYHtMx\\YEiOq`qyiyiyLiyMsLX^iMiAYA]L?utYuYwhWUQOJmqetO]lsJXs_qunqnqdunUtGuu_QtEqlgTnc`Rn]y=Hnp=l?=xVeSlHKX=wuIjQQW_AUZln_HSmmUvdQomvFQY<]r:ikSQvkQV;@UCYoJhs]xoK<v>UqoeJSMLdmUdUSgyRMaJNukS]NpUKWPSTeUMHpCpRTDlT\\J[hNQeLLpliIJLivgAOGQVhLM@QmM\\OCpOqhUC]jAHT\\Ew^DS>hJ:HWidXYysrporDv^avFdtD\\kE\\MIUL^TnrLls=q?YwF`nNQmjxJjpM_tKmEqfhWCeu=<jQuuvirCHysHv[@wQyunQxY]YGMlkUPlPTZQlR]wLUyxxxSaNC]tPUOO<NRHNWErCPOReVBAK?\\MRHplTUoEMPio@hqf`j`xRDukWDsd=wBQQ:]M@QSqeNCdTBDUahRL\\nn@nXUoITtx\\sfqK]pW:xj:ewFeR_HK]hPAMqReOPETaAYylJ@QXbTwkDLpeW^<Jb]LAPsBDSL>mW_[cohHy\\Ovl:I`W`j?IdNVj_OkmorvnrYGtkIsAHf\\?]cxjxhuhWasvdtFpLG^NObtPa[aaopiMFgFAhjYnJPnZWqPfbFatufaTYmHiwBWZ;wjr>lkYucgcpnjwPucnkenwS?jPG]twrC>laAZMHg;?uhQg\\>FaCJyrdWrGuiwaDVSre]BX[hdyFMGx_id;]yO;vyEgoAr;Ic]ATgEvo_GUcUJ;UpYGkAryMvZYvIKx=MBo]SemrlOs:qBm=GQGsEyrSIvuiriWW?eh`eGfcbPOYn?Gked:gWg=FUuYoesOiSbug]YWo[Vp;tUCgtOUWyYdQtjKYJMH;QsLmbg=HcYeNUFaEdycc^eUUMu;utCMyGwEOgtIGEyob:_wLQs<IIZkEjkyq?w^YwxUUPGi`oWxStFkD>KWQkXCKSdyCZOC_=DA[dTmBoKug?RsaTfScbCWHme^GGEuu_sVliB<[u?aHL]Xu?eBugteteoEr=v;ChoKcq]B^uIyaymyTgOU_QihQcOSGpcWTaxdyTyOyIyyvysycycySE[Eyqhqgig?UfkUmesocunqTkyT[kYIYxPygYuimuvHEXxyVBmheKWyWCMYYMQTuEwyywoqy?ihLirEUYL;ysuDY]EeeF@QBE?YHcfU[bKUE>eSLqs`]Us?F@aFk]r=UiP_eYcec]yGkI[=YEEvdGFx;W`KIQeTKgHj[G=WHXqrTEYEEFhYSgEgwATU=cfyDGqxJYb[_UF[S?_tgSsNexJeS_GBFqe]eY:aBjcrUUd@_XRWEPWb\\ATtKXrIbj?CroY>GXQUf]uHv_WWMt`uwyAxCoVN=dUof[;RvwDi;W@gfUgyfCVfKgcEyv]ijMSmSxauUt[EU?CNocYSvN_Uo;T<GccygkEXTUULGIf_XayTX_yayx\\gsyKHnwxIkybUgOmhJkUJ[cLIfKOVEiSPKbPGRxQtI_YEST_?H?Qsi]rpmGACc=YRZkglQBa;C][y>cbTaf=uenag>?UrqbBgStkDRwSZmEkyEwcS`StQCEt=w[msPOuIGHWquU=F?iFTOgYURo_DfkbPSd]srKwR\\McWgctwEW_EA=HgcspaVHqdr=ypuF\\oVG]H>Sy;kIIaxVkdjMrSSVDyyU=gKMBAIV]GIbchS_rp]GiSdK]gg_uYaWfwrZUBPiCZmd`CBjuf@GC_cy^wCtcDn]EC?Doef<OwagbY[H;;fruSFah`siUKEnWUT=FbYUVCe\\ybs[hgCYSudSCeFWstMCV]rlmfeQTM]IKYVScWggX=ebNAeA=Sh=Wc[UaWcBWTWUsAsSZWU=qtw=cn[XkWXdAV^gS>kEOGycGhW?TsCRW;H?aW\\EdgGEJSTFIT[GHXWggMfHWii=FcwTLQyJ=dAAU[kUyqhxqb=qxkwGosW@]RXwreyy;eyYCbWYyuavvqFruyAqiEkTMefsSBmUHJwXxIfnQg@MtdybYEboKB:oBbkTgIeZUIUMbDQUxkFZyFFeEA_cFwvBgU;cheec<]BwYIsqgGow`ydJWE[_CpcHgMVOUtDyCl_uKkBfYD_YVKeTDgtiwSfqgOoB;?yYoGXwev]F<Ar[;uckHXeRhgDPQvdCr^YHwmXk=CgcGk]SPCgmywACdoai`eieKdRehjSbBMV?ab[gwD_SGgGeOEA]bTKI]EF@AWbQBEGYEcwmKi@EESEs]AR`SDE;DcUe>ISBGuXwC?=eQ[H:;BB;J\\@NddVdLrhirlxrX=tJaoP`XQqRRdlYlrT@QadTDul>lmyPtRYK;<qe@xudJWxKX\\QrAy]ykE<yhlUyhygyWyHv@XMDdj<PkhuLEiSoPUW<MR<q_qlUmUkQkQ]utUwghk@UvMxmvavOuTWeNHAn\\`v?YQihYgYWO`M^PSlew@qxcDqCeR[yx\\Xxh\\VApu:<qiYVR@lnIvRpVx@TZDyvHvNLrpaM`PmKuxNIx]it^DsdPuSDV:LSKeLQmp`mQMXqZxWWQKw`YxppuTlttUndT@hwSXKgQTUMWEewa\\pCMQmtj_]lZmoHppsYqyqVymLMAYrdtn`j]Tu^EUSAnw@rCtPG`UbXUfhth`OUmUehptQssernyYoYoquPSiRKtknLRGUl>EPDtKEhqratcHxAtM;@m_dt=uKwyXyUoetXKqT]lQv]vBXrP=TdxoSlnS_eBOemYxPGZ[Yc:Hp?Nm>gwb`j[nsMqx<wr;QiMG`Eh_EicC_bDFdFhZh^r`w^px`cPaaXgR>jMPqbfht`^[vyMYsVYs\\WrV?bMan]QchopUosxViyWfi@]UnhMF`Q_bC@b;_shXk=v`IxwnYfi`fN?dlFspFv?Xap_pHo^FnbF_n@FbfFZhfd>gp^oy?HvW@nLgbAQj\\YkhXkn>d^^jJV^ZYl?Wr:_ieGy:A`^VbJvcq?ixOZ;Ayyimyqv[Imk?eQVvO^pnigGA]R>^wg_\\Ibn@jpGkh@nj@bThgi>gm`glXZDwk^w\\:QkkpkbN_;Fl;ouYVj:imTHgTG]dQ\\VW]bf^TY[]Iq>FfZGmP>c:?kPadqxv?QtPVnPpa?Guj^hcf`\\weMAwoxdipqgY[AFdAYmbAmran___\\gpsNefPm__^FY\\Ya`nauTHtvirQfegbn[xvUtp_r\\CgNkCvuGngEGkeY[rw?DlWdN?FFogeqiiywUyhiAwKYf\\iskGhkwHyGyGidDeRWSbFucncdNCGxWWQqG;[uamV`mWugwpwCv=v=KglUdt[WdMWD]EckUF]SF]x<;VkOvZMfC_TjGbHMhH=D>[DWWFtuhnUwqiIZ[f[KW`Mx[Ugw=q<eoKAKmdrCHqMYuJqJGDywtx:ililjDuMHlK@lRT<YDttdUQY]PvhwQ@yCEP;xv>hSATKIXrKaOrXofIJkxUTHp=`Uu`K?TULUYUMWEw[OFeiNhoGgX>]cqgq@roq]HqBkRCOTheSXGY@_hHsUhEdvUTVwC;AUPACPmtUewAwiHyuuyiQ[XmUReKxrceE_yToWFCb`UcSsSkoF\\SC]qF[kBE]ysIGw?dCaIjuGu_v\\]SAGCLotvew]]tJytiUeTehsQRqWTlWHcugGccxEb[oVnWUGOCkICNQejUsAEsuoynaBOQX\\UyxivQ]IpYWi]il=XN?u_OcYKuxwCpSE>MuWAdqCWrMXqsXTAGUuvRqFP?Y?QcjkBKOuvMvOsHnsBjUUmGU<aHD?bfkS<UulGfEGDPOuImHLaSZWftyg\\]U^EC\\[Ge[FcaWC=gmUF?gYJoRFgXjaEQWuh?I@oDoacrsrHWfeiVnmXQySV?BiEKCYQ`ET?dXApmN=YNxNePXqXQ;`PXYTGyTOItFUte\\VHDkv@nDuyF`teEycTt<<T<Ikc`rs<L_\\Vcdy@Dnvuulhti]lKlQcIS_awPaT?hUYLQtmWcmnA`YyDlEPjSYOU`xnLXrxv=Dq\\]Nlqtgync]PC<m;IS\\hNFHMNEW\\Ls^]X@\\PCuYctPkllWAjFLsDEO_EwRTJ^YVLXr^LTQtKQYJSyWtaqrDvyqNyHYapybyVSioLxXQdybiMX\\W<uY>Hrr`jetvC\\VhpyWMpaQJgQo\\IpaDniiqByweMT]PqgUKR\\TC\\uL<QqPtqhSbUT?uQ]<vfXWI<K:QualvyMV\\`UHpooYSgIOfpMAYtYeoX<kPPYRana=NwMNX`ygAy>iw:tKleViinE\\n\\yto]M?UXVDuRaQclQ]XQYXRohmyyJ@YP]xstDWfDWOeOGts\\\\ST\\TFTWr=kaLnkMWdMV?lLeUVRDmP@rpqlOTXruxuHy]tSJXT]Yp>@WktmEXvcAkE]QS`mHAT[upt]jJAQC<k`uWUqpgtUZlnOXlehqaHVFyY>eOk`nx@no]u[xjYmLyuVauV;mjUxUqeuoUR=URBiLCERqaTXINHhJduxvtw`XmhMyJyjx\\PxlQXdRKiMq]ukQvQtqREPhQvjDjrymrMvCDxtUypiwDmpP]M]<Vt@y\\@RdQsLQTKlYrlotLjwLw?uWdiyqQQH=PL`K<qRWTPSiOu@TdTrexUIqycyw[EVilKneu:PWOPkWtk<lL;Xl;aXVTVUEt:pWjqtreYvuQY`oqTMeQlGTuQmWwMuZhV:LuLqrl`tPPuI]xLqJK=k\\HXPHVwivY]sv\\XbIxFmvLDpVyN;at@hwehjCqYvAoRQpMLN]uVWuNutQQQpWqqb<keeOyyxyAvYqusyRiXqtQMgqrQhUumsX\\NsDmCTmpLvLEQsTPyimi]LxDxCYQ]mxlMJ@@UJqNaDyBAOc\\V_QM]HWHpv`]SuQlEqsYmPB]TvqwayWiuYmqqAXpFlsstWaIuuLU=XOtIXoeog<U?unemY>_kXnrvXuBHgtYtPw]SNdiPtXwlPgnYpu@QiKqd^v`h__Xo\\<Fd?xjnyfK>tpOeC>o]w]RplkYtMprFHdp^blOkK?ksVZF@sfadcpiBQaeYbN@glVdOGbI`^KHhjQar_uq_fKa`Fa]jIv>F]Q>__q_xarWYta>roa^kwotg`L`_y`\\V`c]ihTY\\Paqrygygn<HxhQk;y^P^dAw`:XtYv[d?o;woG^fdh\\C>t]f\\\\po^XoS>tXHyGHo@ay?@fXXcs@pnp]:_\\]?sYpjO^jcPt;yilI_xwsWw[WHmpq_y`y<heQVgGPiryjiA^Ig]xO`MXqRVbSV];^_D`_Kqrnajo^\\catFHer?xB_xsYuYFekPv\\igU``Qid\\qvCNgAPdS_\\Exaiwscy_BHrgH_<Yqepubnei?ujHb[^whGuNGjTilP_kr^cvOi\\arCFx?IqsHqQiqhihuyxiy_PVk\\If^WpSiiuqxCXf>>wypytYwO>bq^[]Xs`xj[?o>Vv?Irdic?`tOPrFy[:^uw`b]Q`VybANtNndU@m^w\\VxyNybx>aZvv^QkSHcr^hN`oXFl;vh@njDPh@Ovr>t?YdIoy?xakiw?XjqqdyHZOOqvOhYygkviFpxAa`kPfA_sCIhFnmaW^d>]jGogfp_px=AgvIeZNjoA`yGgKId]XsGO_gh\\XYnfPbNv[bVfYIiq@bLNxsNco^cMifn`q;GwHhgwW\\MFysAhL_wkXZ]xkvxvivrXFyPviEYeiw]jwxNYZi@lw?vwwimWteoi[oti_crnvB_Zki[QiwR>wMVuwWpRogQNyuihDniM^]WV[;akNPc^a]iiwy?p=`l\\GpdOwKIq]WnG?lTiwMvb[Vngvg?wfdfrKXphNsjvZdi[wnk\\xysq`morYqrLPygwpTvipyqvYclaaMohlFiaHw_`_;?\\<gpZp`NParNZgg\\<`ZtAaBhdG_g=?wialVO]Oad;Pw_@qpy\\<Wk_NyMivBodZ`u`iqu>n^IqtFiUPlM_lSftDxt^@`Yy]vNey_c:Fn<`oWYw>?g=oto@mmnfcGZOIgRNdYY[RpwRpkSQ[Jwfj^_IwoaAvS>aU`]cNhNwlfHiXXc=NlCosuFrKp\\R>yTQkJXp]N_A`bOn`Mx\\Ih`YOp<ahkoj`Hw[qfaaZZGcrh\\R`dLxqDoaAgrJYmJih[>_owaGGrchrmAgLp_`OeIFjEymhWlnovuwfg>lK@`xwnZVnR@an^loit^ImKYm;ImHHm^V[VVoApc=gcfyweFsZxc=PlIhqqyw`y\\>^cv?kv^h>nsv>]Iam:ptO@p_WaSoyEqroy^GXtQa^iojt_kXApFvZAWeNGbaNlOvr:Pw>f[=FZwxrIf][Fcfq]RrsIiPig\\mhPah?ObUwHBeHZIROwV?YTi;GDyUsWEoEgNEwr]dJUrAAWXes<YIF_HCEXlaI\\[Ho=Wn?eE=VCQEe_H@qE]Qg\\QhF;skiFjyh^uJt`TH=kwhUPpyV@mvyQpqq>lsHPoDYyVYUueqoxUiimXMtSAsDML<\\j>hYA@Jl@KBAoFLjH@OriY]XjtLsbLwbAQhTnFXsZqPDAobLOZQj:@KB<s\\<KLLLB=N[TyLISaxxhypNqUqYqaqutuou<oFArAXNCtwvQxuEYWuoXeTwXUqpwwymyiQayY`TuMpNS=rfptuPlPenJUquto@DS:xJD\\qBDsYmjqUjqEVxenL=VQMwmmy`qwbQyitTd<PiyvylkQtM@qPgEMUqti`XOlTkIs[=qn\\mDEq]iljXnAewUIMLlL^hxvUU=]qa=WApWhLv]@vilwnqxfuuwqqqirAiMyduHQwlPtNWqaGjffho?x<vhCxt_@qf`[_G[<@jqPp>qtvXtBGtR^t_P\\xXoFVkIaflfr\\GliArkXqFPn[yrSwphg]YqedflrYyAo]s_fwQyoy[v>x:nd^>[=wtoGySofIqmwOycyni`esPdP?gTV]UVs_Qh\\FqxNvAvi?flMgcEavXvZY@smIofHfR`uEQn\\Gh:xsTaj>Wr]VaEvqvImq_u[obdfjc>xDPegPsRFwNG`\\^[KIbSA[Uq]CVjD@waalJ^dXHd>oZqge[gohghu>n;HdR>odNjN@rIpanI^TpcYnhMi_]g_?`uSvvY@uXIbpw`kh\\EyvqgnUpra>n_xtYxaY`yZYuMyoyyhpAvmVuiFaoOyYael`oaxjBIlGOZBVs<ovHO_>vpoPeggoEor?fmXPj]NbB`iAFwvVt:hlEyf>IZPxyJ`i?o`=yjGgtCNbMPugqpw>wrXhaih_`jfQxPio=vmtaymair_s^AsjAxRyhxphTHgTW\\OHxvO]aohVXu<?rsqgyy]O^j;HnQYfrqeqpbLHilh[HXayaDQBXeD?]F<wGXYUOADECgu]DE;Fe[FlGXYorSAtv=xpgSnyV=?svmw;SwNUTswuGqxOwBtihK_cPGuuKtiAihUR]mcyExkkhh=Y\\]wqGttgE]YrJwC;YXiYtGuGYkiM;W]gT:sRJQwRkWmcRYQWdwbOKHNmUNMEYQIieRICWp?GtKR\\_T_kFQWw<eiKuFOax<?idgtHQvJycocU_AgWSgeowayc];E[wB?QCU_CSAru?DZMYw_SVcXd;DbCRDqtVslbDWgHVVyjYeQjaKAXXgDw?qS:drDqo=qvnumnmtUxQteuQIQduLGPRxqwWxWV=YbutQmy=eumLUKaTUPLGiX=TrjXlLUMk]Rb@VlyUlHuH<yKYTL`uoLnWXVnEULdXgQuo`Yu`lvEYK`OFtyMXNlIWMqng=ujHjyIuMYt]IYX`NfywsxvXDlJeLguuxhyrYvIxoOyjmHTEhkOMOOXqiqquIrAtMv\\yjYry@x?xOj]wXxsaiv;ikQ@OlexLiM<qs>ELdPNemqQAlCQq?QpgallTSPPYypUEyMJImPmJxAxbXTVTPfUjKUO^qye@xAeLYHOdPtDlwVTPt=mu<tn`UHexyqmghMGtsmhTE`RbYkp<Uo]tXupthy_hS@ipElWblm\\pWhTkb`NluVl]vK\\xW]mgHxjEsFHMGmsMIxNHWIELbutJUOKtrhAlldXGYwBtQtIM_UyZyxilqbauMxSeivm]vstVOmSydQiMjJtK=HwvAeY`oxh_rSx=wqsEwow=gBUSv=gekuGOgsPuGp[HnkFcaR\\oBvmUGyr<WsBKHdEeSEY^ssYyyCAU_YHM;e]iFb=SOSFPcRkmYj=XrktxuIn;IlKUdmWdMWlOu`qB`MseKr=ycH[usux[KGoWGHQuScUeSchMSm?SDqw\\yuWUhpkrogyCoi]uciQF<mvIcdQGhXYGOahT=DmattIgMUrTUwp=Boqy^WvtQvISTJswH?ev]Gkqu_Kd>mc>;vbKC\\YIEGDMec>[cZ;W<EG@EIQEGXkI;mebQB@wFRUTP;bdOyT?tx=dIyT_OraWul?wmkdiKfFiSLUwxkeDWyBebjuS>yFRKFtauKsTTGFrof^cdtWd:WEkav@EcXDsPYswIP]dNWdn?YXU<k]AKclNKdkgDYtEyueX@xNH\\VW@VKIlWLU]hxsywOHlkQpHPplyNUuS[UlFqoBHSAHK<PmjTyRAJXPM=`PbhRFmY`IKPMx\\AvuDxgyKNtmUAmSaJNxKFDL^ap[dvXmqaix;ys[\\O<mt:eWw]twHNJEuvAPfUwHlQ[Nmr>w@feePw>Owr^`?CZku=ec?ecZccVKuZghXMSIMW?orN=t=Qs[cW:YgdmXTAhTcR:WytcC\\gTOcI>utv]EWYgJ]cc]i_;Crkr^ywlKRkOuikSR;SoiDg]Un?eJ]rLghZ[y>WhQsiw;gGgB\\odVeW?KtQ[Vwkc`MEe=y]]Crxm]dj`dLRyUdPw_AQOXTwpnZMloukO\\owar:XYbLRmeUr<mT<o`xM=xuVYW?ltjXvHPxUdLdXvEqlFqutau`HKa`tPYpgYrYpwSHQqXxtywyltypLfqRLllY<QnAkMyTW]S=auZixyqLniWu]qqXosQkqmxhTQ[PRoAO>HRNEND@T]Xl=uXNeKv<U]]uaPjlEkKiTOevjiyUuutqtoytYuU]Pt_qmo@kTxjXLYBMnpmq=qpgUuLIwn`L>HONLK]TN]\\yw`lNHjdeK`PXs`UEplsmxSyVslwaASwYtYpyntrhipLeSi@jhuvpLPtLrYUYUUuphweyyTiKq\\ytytqumuxXAtXspKo`wLenLppMYJ]UwqlQuasDawkPkgutLurKURA@rf<wpQU<<kyUOX<JiylKuuatr@pnqpXQUw;trnpM^qUqPqW<v`@oT\\rrDrdMNZPxeyUuuOOLY=DX>PlIQqd]NvdNYQsAQO<tVVHpfAqmllkuJYyKwmwXYXNqM?Dj\\XWHXvSmNPpp>]Y\\XSsHP[lvPLN[HSbMTS@tJILT`LW=s_HNBXJGPN<IWeUWvHxUuVRlJkaU@yr?aWPmNgIrrAYktnIiOApsFqwstyrqy`aUP`r\\etwYwYAyKyYvUVTar>EwBHmyVrYveYauP`jC>yx>]P>tt_gFYwOQb:QiYPfLq\\s>e@vjMpeOYiEhldf[Vf^nWqJq^C_qtnuEhbjAZiyiRgqcA^gYbO_gYGjlq\\qwr:At:ab_O^FX^?inExvYNgbor`whuYrMV]pFaVYo`@_Mnc?`fxN^sFj_adDHZc?w_VcvwrYvg@Htp>]Th]Z?`MHbe@ZQHvdYe:@eRfpUinUArYxcyWxdIloX_uok:Ip;QdSg[vPldQfBnrPA[Y^cKhnJ@abhroniCF`eGcmXdonvyyqlhbYWc`Pkt?eqiuuhxPYexGlEwpWPhtI[AimMHv=HxsvfKiheycrIrI^\\DgpRImRWxfqpRibI^gEQygxwswwgg]wxxnyowodi?^OHf`Hojhiuq\\hAbW_i[QlFp]YWx[PxDYn`gejoao`hen\\hY_iw`NYwD`r<x^w>iSvxTp_I`jHy^W`hLypyhygicUp`sqqyqpqhqgymyIyYXuUYus>\\YV]UVsaYxHXvRqpwAw]xkXqhUigLHeaYqof`oFnXNorQaYik]qichwrfitax=q[u^wTXghHlNnaqoZxXyWywXAi]ikvwcxxsInijYZHPuy>x;x[jydch_]VgiptP`DIfcIEOWYfWf=SBpCbaktwsy>YHIiw`HQgIoqdV=`pS=OQmpjIjGUulXTSMvP`WvHl@]TPeL?HTMxQ@XxoHYtajCLWPLnjAXqtlcyK@Ds@qT`@M`aX^UN<\\T_mjtPwTeudqxQXp^MYltnJykMuVZIOTdJ\\pRc<tcXpm\\qbykwqpa\\R:LpMMsNxWGMwbLvZimP`xSMxqePplOW`Wb=lauTJHW=TsdPlSIoCywMES=iNFuP@qwDIxeDM@AW[pXXYvIHLQDLtIKVPkKlMn]LTXxdyK]HkCLoPxkrLw=HjD@uZqoYhrqhuheLNhLndJutRXHvAmMBtjlpV`qvU]pYxeYGonPup^ikYs[oai?iKAk[P]MfnNnoFVgdvrmG_Ov_r`]uPaOieyPneqjOVkFYqj^[<Adk`bVXoiIwvQn]O\\snc^G]Dnn;Q\\[FwE_d?Fot^^U?`PodcPoR?fwNuR?nQ@c:F\\\\^`yHkbWeS^yVVtLV\\oQgK>h>AoBIrbAayYtPfkUnr@xwsqnrVayNd>Q^\\^pbhb:q`\\Xnb^vbXtOf\\rpy<Ydd_yAiiiOsAxi>nlB`ocYmfOlKov^Pc=p^A>tR^tRVg[fZ<ftdvmMXi@Icyaka`mPO[uN[_G^Knd[o^Qq^tOdfytr^deFAggaQyseTO]sbOuWiDJMV=EDJcU>KdAMvuQvFQcdssEIRFoc?KboOdkCT`EdgEwvYS`_waDoStOQeq<DXBeo@yxaeV_DtJto>ql\\LP;@rePveppiIkUxlkaQj\\TviP_eJ]`qo\\SE\\ko=peuSPMSrILx@yWFtyOhb`pRVwKNgv`lOap^ypSnp:pjdGx;Nh_`i`ovQPnua[bPvbhfXylLqcH?cm`kua_BY\\vpsY`bIvk=aZ;OlYwh[^h;yqJwe?ysxqybYmyn]TA]qnaIfglNj?`piIwvWplNi[^]y^[=VwoP\\nPuB_te>_Uxsy_x=Iviw[kvfxQmVWyAhoy?qQWi;gnDWkPxgFq`Vnqeh`QhsIp]l^glVvTWvlitfWyWaw;Qwwid[?paH^MxyN?i<oaMhiEAuI?f\\_ZtPysyfYnkh_jryvq?oiiw>pp?Ap<_`Pa^T_\\T?yTOt^QvCNmDH`LHlANxM@wLodIpcNfiTNgWq_cYlpggnacl?ffI_wWasw_\\XuoFiTNxAY_P^xIwo<fcwoe`plcomlP[dybLwh>O_E`cCh_PFs@@nGPZ@n]qVxixjD?\\bHZpQmBnamIphik=xl>^rF^tfIsaPfNW[AvwYniIWruny`wxLirAPiKqgt^c]olN@ZUAx^feqA]\\Wcy?]=Yv=vaphssNnTA`VXiTxiNQvnO_O_c_`l>yw<Yywya<agA^ajwlkYwRathXs;GyKvbVFx_x_wGw<X[h>vyoiyYyYyitIwaxkxNyby_vGvE^]oXxwviqYqYiyuyqyYAkwSYhAwY_GisGYb=WBWrhEG=sGCiXHKsgSstUyUhydXohPmwTYpatTPSEqlgTqbQnEpowpxTitexTmiwqtuvUPyLrOxTXEW]tLXTrN@RbxlemQHiPOipl\\XfaPhIOJ<roLPH\\uEdk?<pfELOerNQo]PNLPrOUsZysKMMvQs_UPIaxZ<w`dud@MFAX`QJLustQoUeudqxdQP_dpC@lyhUoPW`axhIMV\\LOTVbUW==yllP@qN`<Vqqm[]ovLRGxPW]YTMQ=IThljb\\wTisPaQuhNdlvvAQNeTnqMBDn=XN=xMvAtmaYZPmjumCanMuPvYusQq[XWDLK=YUthpYQq=PrAmpr<KvPuLqn\\EU<iq[=UXptj<qMLvrlq[Uw\\TxoMtCLm\\XRrQLxylNmtRPQmYkoMub\\vQDsatVxDOj<kv@rEHU^Mw`XLtQQyPNT`VQLnxQPgxRgyyqqVdQs^XljynFHnrUQdqw[Xt_TjSmNEdxj]JUUL=EYsm`\\XqpV_PgtIOg?ydR^^a`nVI[ZoiNfbt_nEa^>OdGnpYPt[F_tIcRHbXWkLAfCw[\\Pd\\H\\dwdIN`n>ZM?a;ifXHcFnwuiwXiqeyvpYjupjA>kAH^tVynvmiahrGf;whEwtnNdbodNhiMXwN^giXwN@rG>dKa^:^iUGjP>cthhNFaxXr;ywnfnGAetPnGhsOAbCQLWbnIFgeg[KY?kbEkuMaWAiuUut<ugviH;;ykUWxGxL_u\\iF^mIqQeyyW=IvqOweqx>iy\\cv?abjOh`uwmcrhOt\\Mi\\AffybxwEjuvYUTo?HDCeb?tDYuOcVaIGdMbmusA[fn;R>aUy[hFavKqGPCV\\MFV?g>]YAAcTsItguqUcYEyvyDx;coygkkd]GiawfwUxpgIkSd[kt\\obf=GweUN;iI_R`aXgkX=Wr?qr@qRxQUeovsQHrwy=hKJ@oWXjiEmGPobLscynYpycySyMyPYUievjdySyVYhurHX]AsBASk@k[hXeytixuoXWQtY>PYuUYWtrcywAuyLMwCAS@iy<YKi\\Ux`YstQBuXquXuUYu`T;`LqHuaAqydlDemnMtCuRWdXNtJhaY]qxgYuy=y=yMXEX?iL<hM]hPQLv_EMG@PY]rQPPMDOhAsdhy]eNauvRqlcQW]]QPhrD`XduXJDRCITMaytDubdOmYuXxKGMrZXQhqvyqM?xskuLgmMGIxaPqK`p=`kThKSxWr]L_ipdIP]hXeXUWqUghL@\\MbPnrMrI\\YMaWl`Sl@Y?tJp@v>AQPAoJtpn<rctVJHvLEV=YtIEXJlXnItseLeApTdLAlty\\LGhK^`P_uW]MO]HMNYK:ATmIqNmyCXygQliqRjMs_uvHUTn\\trqVxdYlyKkMM?uu;AT\\mwL\\PFuv:HQD<W^@VF`jcIv<hYCxKuqpKAnb\\P^PmVpMOUT>LT>ITLUoO]RAQxKIM=AP<]LpXt_PSn@klhoHDr]LVEENDTR?=jiQTJEr<AN\\PMh@TRqkC=NeLvblNRAn[togUk\\lx<@wIHMr]MSYl:aK=oy_XcOwq^Xy;wy>_c<fm^_]aFgqiyj>onqaL^]Uvc@q\\EAx`f_DNg:^tQ?w^QsI?_OGkgx\\M`mCpmLpasQc`f]a^^oHdrVn<Hdi^`NX[<Oh`v\\EH]bp^;?p`xc<hwAIljofGPv`NwJhrlXnh@ZYqr^>ypaZ?G_ixeh>]BA]=@dVWpvX^OF\\>Il_XlXVjaNwMorZAkb`=eVJoej_BIQGUWSAmCPsd@KVTKe\\ayK[R[GrigGPgvIEyhmGiIvpKxkaErIYvYvkKEmqshMTe[bJqxm[uYWYJogumYrUxOeCy;rEaroAerESsMycqtvYSBISIuvqcufwIHKiAkVRUWusVuwVq_fQCrvib]UuqidB[VE;i\\kD@sr?YxD[faWcFaB?qyDefOwHM]hi_uN=WdeHuUcHExnuyjSGncRcmbrEdTECjEe>sg^SG\\OwS;gKWUvKgvsBpidyetuaBh=EZqwIoxsSxngr^mu\\DJyMpt\\l`XX<iNaPp[<vX]R;yj\\arAMjatT?TVQ@oQpMZYvO@wwHS_DjCyN<PXJ`RruPqIKiUOTLovIvPDWD`uqyRSTuRQKdlm`xp\\LvHHvxYY\\Ml\\XsI`pKIMDIoa\\MQMqgyLI=MTuSeUVhlVODOdUVR@TpMnwUJwMleuvH<jcEWOPpb`nePwViuldXwLxk@op`OeIO?aTLIwnYOuIUADKC=rKxpFuKOPogywuuuuaOEQMR<MRaqsUPAauyTySysrLoPPXk\\YYXShDq^asmtsvpxTYW_xx=IPwtxr=TRXlLqO[MtM<lAhvu<naiUgplDyJnmwR<XQ@VgQuo`u;<uuxXiesUMvyMSK=sQHSZEslAwVILApk=ulhTUj@paUvm`yrdu?iuHXQ;Hj:]jhiuwXqquwXLtPqolIODhTQes]aND=pOEW\\YtLAMUDKvARC\\OMapL]t>dLaQOy\\KMQWW<qQioheXueXflv]aNdyLelJo<QjHn<uhiIjFw`oImiX\\WXvfyQYXXSXLkeLMCrwSF=hlebIwhtGfbegGEYxCXtqea=gjkHTcVMEgD=vmIrfmrF=d=yVyqIpqgewIPmwy[XNYGYkuEmsssxryiyoWtWvuMgZmRDeVF_vkgDOUhOEgksgdeTL_EkOU>yUOCCsWgOKFc;Gnyi]KW?aDZOs;mUM]HpcdkwV\\oDJKcmiwAce?yg]_fT;D?AUwWbvyCf;C`SuJWrVkbdEWCmi?ad_LPBmNCdj_XTd\\mwPRFQPcxsddjQTv^\\MB\\V`<M;xQDDTbhUEXkhYnbqUd]M\\lma@NDaLbLKqivR\\R]TV]dVOIksXqBHpm\\Ri@WkTVgqj`hnLIOjpXfIuCLyh\\QV]LkuNceSCqQFawNDq_DJl]WfMw\\@JM`uYHRn`P`QjbaMwIj;imFMPULQg]vZASQhQgTPuhr^AYYHn`lm@DQIwpBHeUwZZ@lBNsk?yX>kvv`DNg@asf>taarmQvYgjyx\\kx`@ItGX[Q>t=?qM`^?^wrWtIQgRHxPAgSicng[FpxmyvjavpIwE^xhXjox[\\`\\[@[HybSIrcvkn@[cXr^IZGabZapXain^g:>ZZ>ZC_b;_d]WuhimuNahhqpYi_>upwvgy]iwm@HavvrXvmWf]UO`[q`YXy@fyvX[yngUAuJQo@horousyvrnujvr_ilDaZA_kK_\\aPdcgeIgiiYiyivtY\\oXdy@kaii?^miIZI^UKs\\SbO=Ym=e`GGUEvWuwtutDgDekititioyayYxyfVYTLoOlIlI`qyiiYXs_qovPxDo[ki]AI]UV]]yovW[yalyHr_vdxn\\EffCGuTh`;phxI_qyZXAx@x`Fv[IvekgrO^yMoq?oe=`_WQyDnoYI]U@^F^i?N`cgyWyiuGuOygyPp[n\\xNvapalhxQv`aaqw_ijQ_XihA>ecghkQ`XioLa^AyoGydvnaS_\\Owt=vw`AyXip_hoqPuqOf_fZyX[fptw^x]p`RIqbHpXN_MwpthTeDGOcD=gbcC=MDGMY?eVDOGKgWVOFDwEOGg<_Fu;U^;V[gGQ[co?g]WDxSyo_Ts_IQGTT=GJKs\\Ssn[u[mXwyFPaWYcWLAcDhY=TvgQleisb=rDyR``wMQTp\\MmMsHyPvHpa<JAePCAsZPyJYrfIjYXNVtQsaukiTePUMmJetlEMStTT=MUXEW<qS_`NDTxk@nITLTxMNw]dpm\\px=aZoH\\<psF`jBpdAFanHx\\pv^OjfpjDydAWd;AoK^nGQjJW\\[Pa`nlopd\\gs^vi?Fdtylpq\\xA_`nedvmJI_>_aG_]H^iG`rAFspO^sXbcpng?[x@cY`gAfZaIoB?dYid?gg[`]\\vkM@oXXo\\h[kiqdn[dAhyIs^iy?alb^aBP^@Gy>>c_?vkP]Pw\\H>qq>or^b[FaA?bLg_:Qd?Pk;@aX_wMPd=PulIjK`lgOlQIkuY_CQ_;`hBabnYkdngG`hFanPVqfVw>QbxFruNoe>tvNiYXvtnjKqvv`ay@oBPkYg]\\^peYpqAavQxoH[konf@fticG^lgIxhXq@qiuipny_Jf_UOnHYoPHZGAyD?hcQ^l?cFFoGGxx>p=Isu@dkwiXfgwAoLxw?pwMY_a^wS@]WqngY_m^e\\Nr_HnJWvQihNFejfqsHyt@wVaoWHs=Oe_AsuVktNxDx_laf>?qKx\\tayDfdOW[<?lIxmFxZDYsdOplypaF]E>yAIx^grVWhPqpxh`_wploftAu]>w[W`baekArZYnVIooOxqxtJy`WvdXXxmhqIohofpXG`garPOtr?vmf[M_\\tYlX`_>wbvfkyVpNWprwia_fFy[wn^vp]Y@gvHdGFvahlAAvAypfaycyxTqpQosGGpCh[I?p`id>wtZamqFtmo_hQvbH`MpnvIgDVr^xxq^\\fywvytG^yXNylF[AfuLOr[`v:Arby]X@ilIa[pjLvr[`dkFlBVd`^cxp]SvhH@m_NoPhxO@ajwvIq`AqwvWs<ijEvayIyIyewgxOaqGPs_Q`YYl=_yvoaII`tgcThmias[na@y_DFrSFy@v]GFriXSkyXwEJWBtmyc_CBweR?eJ_CG_ymoD>sSBYsXchGSRBwS?=vFWy_urCMTxgEA_sY]vYQX]kxgKBHsIWAyrsY]yBKoWZmSg=f>ctfuCRcbligUot=QVSGIHIdvaBkWw\\MHoUgUeuxQT`sdPSFPsBxwgaKSr_RKKipMg\\obBIS\\asAIvr;XjUwuIHCcX=aeXicsYI_uE_OvOEdt=Gb=Yaae]SIKkuaOutOiBwrAMU;udbMetKvQgT\\_SeAWgqw[cdBiHOSxcitfqbigydIyaYY]mvI?YIuerMrUQT@CS_WHwYVfUr@iWK]UVgIemVqUcReYH_bLCf\\SRTWglSUk[iN=FtMFeWdFQcRMBPoF_SY\\kIM=xsiTFEh\\mTp[v^WfPqiBeVKAstOBiyYiiVJgy`wW_CbPghvSRP_Gk=S[YVN]SLaRZoCO]hTQfC=TEyVvEEFWyYoeUGywcVFyV;MFl_DkuiZ[rRwGwMCwqG`MuxsWiqexiIuKGIAWDoTHWHvWBMeh[mtnIeR=B[[CpYX[Ob:WimobhWUZmc:wy\\EiskDI_CiiFgQSQmieagrASaGrqEVB=s>EVFosnsWToBVIGCSuGqDEKX[kBEGfRMf\\?gRuCO]tSuVRsV;eTGevi_yNOeTesZkg;yXpCg@EGhsFLAh<WFnkfTkShiItKbbAXl?u\\kBEmd^_HkOiKSc@ATHcWS=vpSep;eASBduYCkrWOc?[HSKTOSFV]t^=DW;w_sg\\=EcAFBcCMeUn?WhyDeSvGMWh=uW;yRyrakIduWscvNgVVyt]YRNmFgEix]V[esdEvKOIkGV[QwUsXjCyrAvuqWFAe<YyfOg`YxSiwusXBWdT@Qfpxu\\yT`RUxoZ\\rtAjAlwvXKEEppeYDYl`TM<XreUupxlfDU\\TMbpjdHQTqY[ijQlVIqmwHX]qrhqwhySvMvM\\yuXTspXSlP]dr^]v[end`Ky\\OYyRtxJvAsOPS_pJnyUnMkQHf:ghoNswVvbNj<pk_HdrX]bYoZ_sUxaVqtEOyQAxaQhCOs:GxToZtv]`A]iigDO_FWxkyoknbD@wGNeQomFAqHne:YmS?]:N`\\QfwGpJadd`aCgudqdqPQOC;grJ;hLCRHUGZUHT?d>CVR;GRud^CCvYVB]Rs[EU=RZUg>qRFMbkeYRWHiWwXogR[BJEgtgW`myMyUW=W^=TY;XNYEBYeSUBSCViOvdiGgUB_iSI?V@mig_btIUdkR^SdWWESqboiscSWHsRTUYuqemMs:yB<mI=kyQyD\\Yex]eoMbniraAUyQy?cbIgfDgT\\;sFofKWyZ?ECUVdgnTEylDUVtlt@vkMSHajRHk`hl?=KuuJAXPUptj@raUPHDNSaO[lpSmxvELAuK;]m;DTQiQ^=pcIQplQHqVIaNcaPkLtwEnQETGHYyEvCtwy=rlxwA@T<yQs]jwavdxxUiYDdLi\\metj\\QW@`mVeLqMshPREXNJDjjISo`TkiUCxp_QJA]OH\\nBEpUDX[lnnim^]maHkruXqTuUmjlEms`MDmxb@suqV<`OApvtTTKtJ[=Uu\\Q?qPrAvIhrNAJwEoKYsaep@DYiarsex>EQ>EoLYwCeP\\Eo:TlLLT[Iw^pr<lV`\\KkHPNXUMyJSLo@DVHxVClROmnbqVt@UclYtlq?aJgtKG<wniR_TKFXxgYprqmq\\RqpYQpQ=Tp?Msbejj=OwtYiQjmEulYxCQp_iUWuqTylpUnb]NeLsBtlG=xOePPipHTkuQoQTuAmXgiprlkqdUA@TLQvGAvJEnAiW;djFQtuHnPEs;MqjlN`aqO<RfXWOUkwPVWiR\\lNoUNJDTg<mOTsKXJYyn>=PH@jR`SC]mX<P_pLElLlMnx@U=DVTlX<pJ<XwCtYe`UTUWqtN@TjdEnN\\rDHPXuYHDm@yYnILj@Kq`kEXKb=Q:yJfLOEqM?TTpDkqQNQmJ>PJODVc]vK\\UGxx<IXYlXhaPupnm`STetL=p^Aw<akpitIiWXIuPXtAUSUHT`QS:iYi`wSDMPPt;yKBpSj=QkPTrLqrmqQdj;tJAhTrLOQUpBXwt`ljuvEUkv]Nvun<ytQmxmpK@PJF]MIUcWfu\\qqxHn[H^c>wx@h[QbchwRWcjfli?arqinItAwmyoysspWVAqcPodPkCDII>sykycy]YEiGq?xi_ejMrCsfYoYtuWiugF;h]ABWwuCOuSsr@qrrKvaYE;]becdDefTyfi?BuWfp_IyEDqODm]VMKEXUbNMUQgFAcyj=sSiHgUw@QvRAW`sdECta?gDCFEKXbWbnoGRWhJ;vhQWE_B_AhVSgkmFdWD:eXeWUWqUOmrnCdbESbWtTOFuCDVGVR;f`;cH_UZ;WlMwLCYrCXNSS<cT?axIUF>Qti[Co[ES]eGaVAiI^AvsKWI;IlCvjkFDWUTEsAmIlEWHqv:oCtoCC_RSCROycwuh<gV]Cy;OEOcWHaehqf`[DSCCv=ygYRjCvOgUPkydqIeYR]EwVmEiSskaeWYRdEX\\?gb[HQWsdiChGgy_DIUSNCUviEy=v`gS=wesas`YYiyUwEyOKyOuTwWfuMI[YHEAsJUd\\OgFkrsaIl?W[Ev?wDpoyEyFqeylqwAyuoerSudYEhZmu\\?UoKToqElyuZAG_OGKQTgIIuQv;iWuohiUGiQWimWGEu`EFOAGCmwd?tm]wPMGeitGUiuYy@_XTiuLIHU_h^GvOohmkTMwCWcrE;FZGx>sbdoSfOXjAvbirVOek[IaUsPigQyHx[sqIeP;VbagxkHt=Weuxccwa[VZcR`OwDAWTsyayb[AEeSfQ?fbSSUWIeCbqAB@sDcebcUtm;fn_bGqDkOHZogVghvssDKEDqH]YrMGFMabDqF@kD_CU\\CH=IiYGVKeRNEHLOIRGRlAsbKgNuHKWwLSd;CufKvJCHJATdee=CBykSPWGRMXJQGGyEkYH?AUy_D?KrkKeWsu\\OTrsIW?rhGVFiI^KR?Qe@kgX[rxOSgWb?kEx_rrkdfCrZ?dZ?WjIf[kxRYVUuguaOuMyAxOyUU=yrylpd\\K[tmAxKy=WCiaSXhKiZpakS`fTw`pHnd@jKPvXWoeVne_^lWl;Wx@vx`ghGy[rAaRFml>m<IhnftJgdWhrNyxEO`mfdD@\\Dg^=G]mVnv`cfphJ`uSnkphfwgnawmwoxfXpHQ`GWtmaahiv:ghCObDqsB_wHYmCOs;Oxq^]]xkF`kNN[?nyxwvHimLwuwqwuxwX>]R>qhQqeAyK^ffikvV[AAwcahTXvuYwixqXo`tInAp]dFlt`xVne;xy^nlUGxCQvI_m_ybcP]UIndWylfk]IZEIetWhVohPquSHvxiefIwT@xQfb^ql]Gv=n`KVgS`dqnto@bCPeU^ii?qnhhpwvVVeKHbvghHiqhgheXuehZv@`R^ldPhgwd@?iENZE@gbpe[p^^pnRVnN`j\\gbJ_saYqB?ggirNHdKgZD?_?@\\YxgCI]<Go@^cW_f[N]>W[g>a`ar>O^?Wlva[R`_nNqaykXXhpqsCHkWg]Wf_apm`Pop>ax>o@^aqXqLFtfVk@HaVVdm_nFe>CWi_etUwcITyabA=VjQeqaEtetuQT[;wHSv]qHdCYjIUSaS]=F<cfHcTNArQaCWoBJgc:kRtAuQwir[y>YTA=wSYrx]XeEscsrQwU@uy[iytqrWoIyIFSKgeQgturI=ugwuiIYfyCWIg<IVykysWgdCxuwgbqwdITZyGGcuSye[AvyasaGB[UTp]F\\id\\_gj;S:IF\\oGbMf^SbKqfNITcKGZKxwMfRcRsCwNAFMStGGY=If:mfTKsSgFl]H?Udv;Hb]Bo=t;Cfj_tPud;CwK?tlECoASViS;MXckIyKxhkheMbOsyCgujuexaGnwBvYEQcdIwIckUpqTgQR;Id]awpuGu]WWGicyERyh[Gt;;W<?sRoIPwUR=eQAvTADjqg=GxHSvFiHBoctuyKsQK<yt`LolUX@kuiJs`qUuvZMm^]Y`ypchSVLxvMPtqepagRvgYw_By_@ht=WyUpodwesqewiaUY[=AlTiruGiYFuGX_AggfWMyU_aWRGWGuIK_sqqBuyW`gUZQIRMr:?dMUbhiBXUsFUXtQRomuUAsUERA?TccthUbTsVriD@OIliyWKRgiS^_C:eR@ieemGdUemCrGIVCGB[OIcKePMYAKFsiTXIRKEeO]FMQsn;WukSdeE[]wJ?TX[cC_Yjarw]RHGIPWcVKCPYIOMRDaRokRNKrZGHlaxBkD:?wCutBcvd=e:\\K=pNSpMODNv`VY<xBdM=@oOMVCDsW`V:Ev]<R^\\lZ@PElR[Lp<AR[tRhPyuxmJprI<M@\\usUu]xwuPl_YqjHLIeQQpmnmo_]NS\\s]<MxtLP\\RipLSaL\\em>TOGUKk=t>=lBTNxLL@iupXT_PV?AtnPpMELshyB]PEESSPU:Xye<oWIY:YJqEMWqOShX=APP\\OR=lIyvsYYHppipqtwutqtq@aTxldpklfpN^jd`swxxXY_ypipIuaWhNq_qylvGaqom@yrAytixeYW^TIy[w^`n^lHufvbgujAxWuXWiFKUIyCtDgDeKeUWeeuT\\cEiwTaybKKqLhnsxVhaJhqTAaOOqpjirHTNMhXNHYy\\TMQxsQX<<KrAXZHkKePnQJYxpFMsdXJqQqOiohuJpHVsuTW`msmR[atMmO<aJ?ApTxRdPr:AvRGmXVhDGimHvBYrLaiHfdo?xEAx?y_vapy@ql@fov[OpxkiuFFd<xfv_]xvy?y]HfghGvmNrUv_CwmlOs[OjiW^@pm>wpAG^uIvGilYaajPqLvh__\\]_ui`ulwjUytQHi`ijQ^_uAc?bVkcrETjerOcrogYUeCuEUAMuTiHp;xYuh>ubnugy_wWwFyidS]Rs?V:qF=EV<IGLGw>cy_kCkADfQVJQDMKvEWT:UbdOXBgc>IfQ[BvMuN]TGCuSETRorICIBAR^WROehTmeCCbxogdUyGMULsgEcgFmbleFOQcTghe]DakTJwH`cqZQyGXwhYsixLlUOrIwXIp[xnfhKaMq]dkc\\r@moMlootPxdpweM^yr[dV;xL<qq;iSuqpphPnpsDPu>EtHEn>yRdETl`SLitvUx`hOUpY[xy;dLEYjgll[mXsiSSaX`eRMIVs<snLlnUp`]kEyWbQkV`Sw]sK=kk`SDtRW]yt]XK<t]aRJMkphkfuWShuvTknaUn`vGTk:HXnlWDhmIDNGiKJXpbhTy]QYUq@Hs:LQiALXXjWQR`YvZ]UYpR?MmDDkkLKClNDXv@en[QwexOtQsGIXDenuuj@mQoIskyYtaQg=s_UJP<W>UYghyfXj;HXahtOQKxQuXquxqnqdqcYMYAy@tYyiuiqYqQxEyOiIwcImpdWT<V[AReyXyXyWYRIdQnUsgtp:@k=xyQxYsyLxXXG<tYMYcin]Xn]xUxQxQHQ^uqwqxUyqniniDxiXXvps[YQyeXWuxhEVq]ukujvtwaqQqIqMtSvfklyi?VwWNf^Hn\\@ZTn[qpdfnts`vRnlEYpHqmRPuKVkLOoAfr;HpuywHy]w_[Jqdva\\CP_jF]`_jWNc`?x[Ax@pyqg\\EirfWdhvg`qf^olS>nS>lcxdGgoUgudedoFC?BsOeakTyaRfaWL]hmCrEWT>ah?]Hg]R^sydKgPOCH;IP[YvcCacXxGgtCgr_SegvI]rKgrP?RJuiTwcoUH;yrrQWHGSw?Tk[x<UhtibiaCmIDrcURsWgEHNee]Yib;GqsYyYUUGco]SDET@SfKCrXYtZ[B\\AhUyYncGBscnCcp_xByvrkhfsbxGfTsSxQIHefk_cNMIGMYPGUiAWxcvEwehyEckSRCy?EdMmYveGo[g_?fRCD@Mw^UFd]WXcCtWETuBbWhe]ii=IqUxycYbywHaIoeBMyyQ[H_MvyCsrWSkCW@Sy[qXVgxL?uhQU[ctcsb[]HCoyZ;DsITfOTGeFlOb]MfnED\\qwbkE=GS?adYYXQUdqyCmwifACnkC:iU>QwBQULMEb;giwRC?T][RJqSKGuQKTh;UQqd@?GaGE[EWUkf\\=HOUISgIKGvGOIeKC@ABtAysoEcUUqACfwVDGYF]hbgcncIimWuAby<tbIRDtWt<uO<So]sXpt=XkuDMNuuyxQxmV<hlQYpW]yHxv[ToKepOLxg<tJIsbYKsyVx`nVaZ;gi:viEAeBnlpIpkXsH_sWf`MNuUaqQn`EPa?@uQW^@F^iaiDHZdWoXAxCHnmhy:yx:y`GVrOadWWtIg`Hiw\\g]T`[iIlWvu<o]w`[;@hN__q>ZK`yCNgfN\\]hbGvdJgakhfDFh`>uSGqPIvCXybYvDX\\RpjiNyvOqpwho@glqdeGjBYxP`xup`shaK@sa_p@ipEa_<@eU`w[N`]GbDpw^nyMfleXeMO`SN^G?xAQbyFgDGwWwcvfop>gA^xbg\\BplN_tRWc[Orm?_Vvbf`^WOjoXg\\gmbpc?nlX`bMqh[`bZanEfxUy]TqphIyOYkthc?`xeIv[^qgfdNgaDN\\kV^CYnaV[XVr\\_cUPm>>byasuGyJoriv^qfvZw:_fUYbZ;dD?dtogYuXWiXyOyOygpmwVIsqkEy]ykyWyUyUyypyWyqd=MWYyxIEI_aDHwwsqeVchYMXCiFQeUoeTdcdLGtdQDnysWWIQmVWOXRoYwixQyCGcCWmXSiV]Yv]aY]uUYuuAkIjIbGYeqSxwSC?Or_Or^]SHsi:kYvEgySxdKtaKi[mrlKfNGbMEErivImWx_XcIVCQTfCuy_ItCfAiXh?XRsEQeFYArVCH:AdteGyOiOioH\\YMeKKXS@=WRtjFPXnyRoeLO<Y=<[NWalAkP_[ZIdTfb^qkayb;HgJhdagonQkGWb]>`moyLpoh^fHh`OnZ>NkEG\\NHgI`j@wjYNYkSisYAYDPGfiuEUIeHeDxSxGYTYAX`Ux=yxqkIkAv@kvk]uSOvhKb<]sbKxjQDB_G_GSd[yVIVSoflyvY=XDiFi]WgmH:IX:qyeuRsWdyShooTXYxIGdykRZ=Wl;UQKr:yToGGm?EieHY=fpEDUoGD[TCgfXMBMoU<[FoaX?EwJIGYeCROr[IidKc[OcNmGcGVLsbZAyKogmueEuUncWxiVKayiabeMgbub:wDiwERqgqAWWGV]qtxgEJ=x>eruEBU_II[SN=VVKbKGckUHUWsgEcpmIuGwswE_yhHsB;QVqSVeOuLOVeaecYhTUh\\cRrKc`CVaUR;KGMSIAkx>EirsCS[eRUV`sSAwg`MGIkhHKwF_YIcsWsf<OT;OhHKYZkvMIwGcEC[U@AbiCyUIeNqII]YSewIehdeuXUC]qbT_xtQTs_fcmf`GVvsYRcbUoeMmusqxUKyAWCScstGwHYdPsGHifL=HumXqyIxwIxgvpoxqgUVoeqse^YEBswkMi?WB?OxTSDdYIRKR_MWi_E[uHn[Hn]Xn]UjEr?sUsQsQ]fDiyGuHWaxgyWyUe]OwT]UKsr_ytDSdbge=OxlEiFyXp_GEWrnaXtcykycyPqoUw@tJAtqb\\SX@oghoGmTTevZeyGyWxUxatQsISc`Rc=M@`TY`vbhqPxytQXrYL^<PjtValkM`VuEQ<PW@uxlivdQkEljX@YjHOhYpNLP]xYQ\\kGpjg=o^QoLapZ\\Rj\\PXuKGlQB`PKqOhqqydMYypClXvauymoZPuqLoiiP;ap[XqxaxPiohoxdAv<GrNX@QVt[caCsVMSZMdJMfoKVJoFV=hZyt]ISpqG\\gFk]EG=xvmbZWC?OC^MfVASY]sTeR[KscETFqW_Kd?aSr_H^MRmKS:?bxKvu?DOgH`=y`_GvmxEyrTGEQiCWUD]ybAACEub;=yBYb@CxuqrwihtCtlKI@iT^gsVEgVmsSurH[b[UR=IfK]EqkEpagOaHaAsEGwP_thGcuwfMMW>Eb=[R=KfLcR=ADJ?g<AcK]cVuudyUvMx\\Giaod]UDVMH;QTvyFayylwHZMGmmI_oBdWE[?f[?s;]Dd;wBOdKSGa]b@CIJQUx;G`KRlySryS;?IDCeBOH??I^GdEOR\\aFIMXJUt[Gt<kYIMs@KwyAG>swrGE\\sWSCCo]bKeBO[T\\ShFiebSSvMc;mw:urREG<?u_kIRGcy?t^[b?STHKXgYVpEc=ocJkRrydm_BaEhICGiEifsXdIxHyf:IG=EVR[StAyngtIWho;IakSE;BeqBNMdYUW>ArpsewKyokYwyHUsWVWEIQiA_WwIW`IUbmrFghoOVawr`kvqgfOYF[whLWfj;tHcv:;yGEHo=XG;XMUH@SEUmv^TRQpojlVdErudTOUX]`LP<tnDWmPuVhKKUs_XjVTNTIMQdKVEPgTnhXk<DlD@Ry`nCdkTDpAhMEeuJEoStOEUQ?Mv<eNfPPX]Rypr<EWXuk^pst@k<iShqv^PwHDl^UqjmKeLvUMRnhQshwh@qUIM?to[<lqmUNpU\\qoJ<VotuN@YitTqpnP<sW`sEXrUxJZEtCqyMDs^LLZUlYQLQMtZdmXXJvetXTWHyRhdkU`XeTOEhMmuwkLT\\xnYPNutjUUQmuvmiYPuQ[aXn@p@pSIaS=IMaQmahmWhpLXyLDU@TxkptP`sNIS>xY^As=EW]YSwDnMeYb]ON=LQIMqyL=tXIYx^PS]tRgQX]iPQaUMquXqynYtIuybyRyLvYPSPmUxpOT]pbxpqxxgtWsUk>ewldqQXVqEOeDsq=UoPWOtyhywyuyuYQhAq]qyuywQxmliQsLWIaVltvXXYhQsOXOsYOyuKOenTPUX=xeHsrXTJQUT=nqmNvDxZ@qKmp[en[Lk[uyUxm^ElMLT[hlgUqqxQbmQxhYYqwA]pWeMGdOHmssEWOdjthtgpWoUQj\\ScPTaUyMMsxxLeQQ\\UTO]ooyr\\]RF\\RKAS[Lw:lnDyyeNbQqdmNq`xmyoagimxGsMwq[WqpGbMWxxPc?^_WPwTpd^AfMNnNHf>HdRhcaomhYi`Yyqx[ggihWcuPhD`\\nWtbp\\JgqtV`MfkbF`K?cRvoSgq]gkoYksX`ag`p>tFHmsYgOaqMaj>?cnFkV>[wYltxk>P\\_P[c?gL?pN?v:nywQoU`\\B^e:?roiewPsxxrCgpd`^Lo]LFPgbJ?wXYYkwWM]tDYC?eFKQSPwsGoeZ=w[KG@gb@Qb?IbZ]BwUVuEG_CdkkDmkfG]CMMR]ovNuhXIXfOtwAhmaYoqUE_W^]buKCXeC[SysYGVsuugdjGHNERbCGImrJYcWQS]eyssV<KcsKdxcg_mx:SgfGFVsxeYXGowSIi@gdGWGfCf:suOItCAE@EiAqXxMCNqbRYcbGS`sfZEE^MF_EEkShjKcO?cZ]r?kdNuTrib@MVUof;eU:iwoSIl=GNUTJKI?GDNMGKMI=ywOOwuAXBahcUf_;EGWsqeuoAXAurdgvgcFUuh]sIl[X?yG]mf==DrOicMhQaVw[v=GFPOR@uhm=bhSROyF`kFtSIusIrIrIKxqyyrycyAG?sX^Cfx;Hj;HwMynmycKIiogeSXIurAyrsKCIKb:MrhmiUsb`YSQoGwSvFWHr[disdETt^YQEayQiVEqlkuN;xWQHwd`yeLTdmJ>pRGYOBqKHHk^]usIo=@l\\AWODKAxL=qu=Al>Qcing\\qm\\xekp`ghjOYo=hZAxrVyhpI`dhkIC;cFLExvWDf[uhocXuujADRIDbaVI[wtEr[UtoUiqoyZqtgoWoPwKLKJeK\\uVCPk?`VMlNeqTHevWiVrxOKiuTtkbDOx@TjlkNmT[dnolTjDryDNFxtJqnDMXM=m`IOODP_`woHO\\xt=ere`lGTNUTXRxV]MV[psIAs>Ql:tjwEX[TL`<lyhqUIWiqjMyTSmoUtVLeM\\aU=@RdLmllWsqyxHp[=PGhs]XYYxupHXvqmETKSHyfLxsIXbTx]\\Oemu>AmA=TrHuDHTI`NJQvHMPfxwuxWrqo_Yjmll?TKaxOryUtXKM=XfTmf]K^EVslqFdR?pMs@K\\@WlUY^lpALR\\lR><K[=OBpvk\\vhuR[PnZpuoDLtERMdL?isM`pIDrQwpG^[H`uT?u;y^OIg[akPgtvakmGxF`hIXZKqfqwvu^pUyjSX[^W]y`jmQj=O^ZwfcYsuGcAiifIsuimoxcSy_B^vG`ayi^;Qs]Xv_xlUwgf@mHQrjisJWnnY^HHnNxoH`es`o[Gt\\>wsimu>]kHvdGlEQwifxv?`>Os=X];`oS>tt^ZK?oO@\\t`]easEa[:Yb;PpMYo^_hJ?[sfqrvxjqk?wnPxkPOdpImDirRg[O_`GX\\FFeVYl]Hg^gr_QZJFpVvu]P[Pqsnfjp`cKnjRHrFgpKHkF^dhaj^PZNAfCh`NFvPA]AHxDvw:@qtnkE?\\bVeIiqS@j@Pq\\PcC^^CFxMn^U_y[Vl=h[Kyvc@qSnqv?[:VgfPelpj:@tTvlFyp<NcGXto>o^Gi_wmqQgqG]<_rsNaW`xObHMxeQwNgwlAVh?IQgSKiRKgFXcgjMW]SvkiH`cxy=xa=i\\OwaMccuB;AXOkrceb<EXASyTyt\\iYuGvFgT^arqSTHOuYayy=fjshcYRiqyOwUfkhGqcusvJSUiMvuyfoQdZPxUeWdauihNxdNP=TOqkN]rtDNJEUg<U`IKbtOoAlLxQx=WeArwPW@@SOlli`M>YXvdK<mQMXRjiNEmlFhkGHSWHMxHXHamsLXYlkvHQVtKjtXXhvl=Qk<sThSk@k@Yvu<xiqsUxPImyc@OD`lEHlJaUD@yjYpBMqWMnpEPwAtTmmeESreU`=J:<\\C_b;_dQWvHA_>gd[hpOQc_ArYn^f^tGa`fWuT@pDGdooZON]xQbe>bjx^VIofph^PkUGnSPiCftthtgpgA^qk@kKfb>PiZgkWFdWyjC@[@naVXyxPnTqjBp_aPcooq^NnL``Hxj>FZGpjSXmV^jAPoJf^N?^?hZM?daneIarppfyyvqNqdf\\jWxJhsLfqgg_d?bHWg[hy=a\\?Wx\\`p\\okAhboFj<_nDOqeoaDndj>geoa`GuLI]MyjvFdeyviXrXGbN^j;GuqAyf`v]ojbvmL>`mQspPx;_]PPjDxwso_r@ubNg>g\\TnrHWjSxkZ^uonuqauZq`QihDQ]dgtcPsro`WXeKIpFxslVa@vxvv`RyZ?P\\rqeYAwXqa?g]GvbCOitvygYn]Yn=Qsh^kYOcI>jIqiXy]_i[mavhi^PPjFfvMWf=?tVgo\\Iw?Wr_Hxjh^>`^LqmOW]Jf^`?qEwnbOkDHkVpqH?k=OoX?kNw`ayjZAwOY\\:`tPW\\^Os[`qSQraIe=@]mPdMYeQ``infWVfJ_`rIp:Wg?pwXNth`nLOxN^_;PqFXnpo^OGcsamhXfd__yarLikZFbQO^GvdOgffwc>`jtP^lpg?asHOlbg\\HVZNGl?PsROj<Au^?myguXWk@?_VIiQYnIvup@wuwpYYcNptLGwbHuAIiWhmPviRnsrfhHovynfOBbueEUhbcuCiinCyBWXImsFkF@ihfoF]WV^ADlQelWb;;iEeGQCsputneUd=BTWfp]XIuf>ChbKrZuyDUhLMbwiRACgk;wMuSKUuryr;GHi?BoWYdEEWGwROxkMGLCVBOcVUdFgbRIxcuFgui]yFgyGvssACh`sgY;eAGs;Ef<kB>mWNCWKKGlqBNWYSIE\\wDvUCvChv[Wu]YjCuDmHqWhvuSN=vAaX>ofugb\\KWkWf]=Cb_vqOH<YhI[RbdkOUYteudqdoWiCVnoNfKvlEfryyi`N_IwlbwtV`y<@mm_o^YeMXbbOnRfc^IplWd`qekQ^DhrBfedQwZh_xyxrq`W?[Lw^bV_sFc^V^Fhv>__oo`\\?dFoaIVoonbM>rIG]Vnk[PxZaqMF`dXr<haxVxGAiCaqvQripkhq]kgi`XfWVqJVhcVhRglMGd]AsMFnl@]GOf?FoBhrQfgXhyhvmt^nZ>oWGhLo^rfwnnm@If]@c]@bbQjQQbJW\\fv_DhdpI_]a\\]fmWna@x[DXoSH^Pq\\@@]]A_p_LGyICSMOdrqWm=r<YRbUEYYXACuEIr_qIpwgFkcPSFA=iB_XR=VHSrRYd=wSyicweIlmwSsfDsYcEEX;fN_hMYH:QDQadVaItevPWdXAIqetLMHu]Y^]vDogiSFTkhaCBbqClUUBCvWGex;Hv=V_]Wdqb;;C]yspiurItRogZWGtWb<[HhuSHorUMujyr<QXPIfs_hhQvWChLkwRSFjWsqQG=cwfugDQG@=EZcr^QiZ=s?QbFkgv?YkMG=Mx:QYWuvsOEduR<UhDgcskXI;CrGtKeyEOyeSDiIEySxvWVIIwBEflKyfEIQMdM;ha;TVetkkfnYRmMdNmDgEenIEdoF^]hRWwCaVYMheGyCKYGuULoScQWvMeOYDZ=fFMHc?ws]SpUiwAshMUueghut`_xratNgwPqyYeSH=U?EFTeWMGxa=TUgGYoEOkUv]E_uiYidVGWyYF^sCN?Tv[T`sgFkyqMbx_ffWG[UT@[DJchZer_Kd^yDEcWVCtW[E<Wg@mbvQDFWDd_RJWRvSDtOidgBReCPGDBAHvWyvIeEcYLgYpURrYvA[dPausWF[AyESI:qHFAI:_cCgi_adMivr_DQUEEgFsYCvGTdGXQYyEIWawxYKBYmTeCdt]cuYw@aYikcsaY;]HGeCnUD>=TJKIKCHdAB>=Gp]DSKg[;gFKHwWiAKfS;vqIvnmRr@uUdjkaRUyT[]RliMDdNoqTgXUWQgoqs?IkTXbR`sCgv>?epQZ=Ak_>gMi[oakMQqPwaWXuvX^^NjypvyA]Aim[_[kgb:QsnFtbvb`I_WGadgvLc[;bAayNeSQaE?[v\\oy;qyCcXjsdCiC?SDrCumcsJixvwRVufLyfgYG^UE<uiNsRKAbSKyk=dgcbGGy@IHbkgumWwqDESs=CUXAd<]d:ewXouSYHMAWVCeRcimuKGdSUIlWyv@lmhep\\dkmxXhQjsXxJyW[AkNet;ToWDQo\\V;PUhDVrxM>Akk\\PWixWAYddkBPoSDtN\\ubpNZaNjyNyhNbLW?@T[TJyxQ?DkELuflnk@O@LsbpnAQlDpV[lSQmn_EjhPLOetNELLto^\\ustQrHVBAPtmYRQXbyS;\\Rk\\l]En<DOi\\j:pupqvStnT<nh\\xaYWo]ulQy_]K^]MLLqMajddphesKUQhhP[]KkDo;]m:yx=eJPdOVXWLTVvlKUdpVqvKIxyeyfywxywyIQumVIIjWqKoyJZyoWILSDoC]Y@`JWuQC]P>MoBPTF\\mLHWrakSHPbpqETYuYRYTkYtrdPjO@trxTCHSv<QBlpMToW\\oeIsCuqWaxrysgiKJPsfQOuEvbqsMXXA=x=UmkPN:XqTeX`Yl<pjl]lfDK`lRtTj?<oaYpPiohohZ`c^InRpr^aeGXfRg`;WdbIlm>oGVhCQb`@]YA[dOkMQ_qvkMyqhYicVbA@nKvt^V_FQpCIiQOd]qqfY[yqa>XgDFh]HcnajQXdFnijp^ZVyvwfQHppikQ`obwiAWwTp\\LOu^pZXPc=odh@p_yb?nnh_aTvy\\q[ay`YWsvnjda^L?b^?iTyunf]tqgeakgnvHYsang>Hn:N`?_[]I_`IbOwqCosUo]ifeIqryHoyaw;qsy>[f`_DhuIpstvcWGaQN]PIiIiijhvu?w>?wx@kZyg:vnfAtOn^[pZmNyDVa;XfYArMxqM^i@yrtIZxfgbn]rh[ZYiRaZV^`uOa>IlYHcs>nfiZqwhHyjjvj;w_hXZ[_fOVitf[EAgk>_MosXVmwxonny^_a;ysoOgRhvHnr[glhq^bOvGxfG?]mhlsH`]W`EPiSihu^tcOk\\phTXplHuHXf<inMIngWuRq]y>[tVjFVfkH\\aqf>ia;xmai[xIkWxg`q[@aj@iq^vaWfnlqhxxaMO[]y\\xvrPWbQA`raZMNbAi_ZAgX`lZ?u;`qDHxH_u]>dEI^riq^hg[HuEI^Uh^NNs;g\\sX\\kNbyWrQV`QgqpGs;nvxVn^?\\KhpZNla@]SggNPycPpfit_ha[XkiF]j_kE>nBQoEfbQ_[:P[NVrj@g:xrSipAhwSYstPagpppVuNAf;QZ]OeEYtex`vfmigm[ykGp\\EYmTOeIIyM^x_qifxiW>qQiwOVx;?kihs?wbfv`Piu=QvJi[SHqsIeGWbg_ub>cpIboie@yj[oatvb`PoqVb=ayXHeMFwnw_nf]WqpfVjepel^qAVwAqttg^exb_itgpGpUG=sDxRl<v[LLkXsP@ku]K@mRnPR;XnpipexrxIw@HjamwsiYdHyf=xvum?=UQ=oTtRR<Py]mbPMKEV\\`XeySyAXiev`po@qNlpvByNY`uZUOWHRJlYwYocXXHaQEyLCtYJHS]prG`KH]XWDmrAQ^yk<XT;elcAUBLkuqOdhxC\\m\\=LWyLTylRPwbTwo=pRPk:lWVPL^=YadK>QX;lTwak\\AS>hlB`jNMNnYK_AxHEXkDJmMTsxW\\hP;pLDPw;MOR@KhMQGpP;twShWSAnqPK^xU`yLs]mWiNx=VJPNPIOWxRlYlXXKOtJvIWZHxWXQZ@V;HmLawSUPaeUdxMaHjLathej:QMCUY>Qns\\XpMKfImtusnqohXR[Mr?toOLPNDk_TR=dtJLmvTo`]mf@Jg@nQ@v_=xMMqHhWRektMPu@y^ujQtUnEj`xsCuO;<ovQpvAP>DN<EYxUqddrAmrYpxt\\y]AslMKoiV]ytcHXan_Rad=ilKFsB@g^F_tfdh@rqpqsAwix]jqpgWwyfxN@yExypqtl?ZWYtly]yAulXmhOgIqvMygtWdpGsDydZH^LwZhihUyuJHaaOnBgZ]oqBIeqNfKGeGDl?GMatJYXXIujUwg=TTid[gRR[udoChGbfmSKYY?sSiKgZGtrkHbMifURBsWKmS`MykyiaWUckt;Wv=cFSkFb?EJwCfMrN?TOOF[=IQ=cRcs^qyq\\V`Ulj]tthtgNW;D`GsRgxcCrZKTCSI;ugFmD_erkMtOcHcAgFgDPOePQvU=IdIH_?gPgTJqBT=IbgX@uBFyWx[iGkEU]XbmV@qgDsrqIe\\CYPGVweis_EdubtAD>CT^IeRUwLQI_kGkswAeeU]tNmuFuvwifhwx>gIqmX`gV:WbkQBS]TS;YXKr];hVojWayvTxwtXkDPT@n]hNRDWFpVGtld<vq<RN\\OjUUMQqXQMIuWBiXoPpKYTEYSpixIlL=An=erKHYXquSuRp\\poanUdtrmsumrIITNdNZDTRtRgQSAXMruR?hmm=s\\lQBYu=ijyexlloaqr_tj]ULm\\trqmmPXg`qSMkpyqcMkdhRS\\Thlk<MRctmH<KYPJ\\<UFTPIITPPXFxW>EUxIWKAN_AtgexKhxvUmsmqfmT@QvF@kZLkj@XLpK_MW?IwI<UQMNm`NP=Q@aremUNEWGAtV@WOALMMj=\\uLmt>Qu;]kFAwLAyJ\\trULleyUHUYAQelYRhy\\uMWQKTxjxer:aPHhrxHMxhxRQrDukG`obtxXUWYyKx=JSINJEsIUrAmYdyQsTrUhpbtPqmMKHt@AYvuRdQMCHwEqoyLLAlLxIV\\qQLHO;<JlTL=`Sd`tQejM`j@DKKPr^pK>HNbHMIyJOQJyLJEUOkiqEXNpiyypuwaw`YVCdUpaviQjAmwIxSXeLulmm]ucEm]qSeavH<o[=NhykJYLX`_SOy]y_hf_VwZhihugf`f``IngXZEHg:x^\\XtCYfqxyngr?v\\E^cHh]hn[=GnE_^lVpraa^?f^FvjV]YqaxXtSvh]@avvo_aqvO_AXZT@sFpclypBgmk@oUgudqxtX`@ftfwmcpbL>nY>brYuowkXQxogw;xrYHmOv]LXnt?svtpgdPotKiY]?cb;Xvgc:AtuMYTwhysiq[F_adKOGmSENeg\\Qi>]r\\kesMv\\ohp[cJut:UYrUvT=CQYRqaWr[e:gdEAW^]cO?ECWYMiIY;SWov:wd?Kv==V;UByOf?]X;syDEb^qcTMY>GcLeBNaRGOB_suksf;_vrAFYitXiy@?y^mi?SGVCbQ=RcqDbiwDYeRwiCmVn_SykcSKbGox>sxh;xfAE=ccROcB]tNKDEKcFmXn?DoWvNGrWEES?ebScFMBm_T=sYcCBYGfdAhDmF_[ErKWAQe[Gtx]yHwE>CbTSGy]RsAXZoGJidDQdTeUrmYd?gk=KpLS[]jGhQsayYlxoto?qpi<Sy\\Sy@ncmu<LQY=smXt=yVhds>_\\an`CP]B?erh\\@O_unrpgcEqp;gqj@veYtBnjR>kAAhlI]Pip^Ilhgg_VsHvmypheokyipwximidywex?isptLAu<YyUXw\\QkHN[GgrkPkNXy;hedqpH^uyQs@H`haui`fr^j@`jIFk>OqxGlNhiOhl^hiP_kF`kDybMgf\\qruFf[I]j@]ig]=GbSghN?frWs>wqMGr?GuZExirduV][hGKR:qR]AvJ?YtivDKXaKY^?cTWt[?d^Qr=ud?uvIEbtCwQqtgoWoUgUIB\\meZCwFCUiMdOat[;R]Udo;F_]xdgfC?ITAg<IxYabBUWeCwuAIZ_h;uvRCXmSXhUUquvyosuwC`IYjqwH=ImIywuwusiYYx@mctqWyIheCvjws=qgx=Y[eFPqXlwt:gdTkIhEEF[wpwIvqylquK\\t=mQrex\\ATSQptyKeAvJIrEpsU\\mKIlQEUkXXfmS[YYYlOy@PIes`PQI`yPiXyAxhhjgXmMETtHPhuvhLrKDos`yT\\s:TWpdKdlKAmMG]K[iXe]JmAWqISDQVVDp_AnVTuRxUDHVeAXdhuV`y>mNE@V<PTcPw[=Tr\\UIIkIDpW\\L^XYZ<OZ]yGLpE`yJlqbDYDysgHWvMPZAxSYr\\qnNavger[hK`ix[]W_PoeDjcITDUM]aTRljtPORuSNQp`HScesFtWcAunevcIoXDWSLw]DM>PJRaSITRhiJcLoO`VHLxSEKsiXDAoFARZEnTDM[LSmxPblXiht;Luf=xrXKmLKHXX]PYcaYttvBuSBIvUdmE@jxallxL\\hOQuKyUTF]TGmXemWkUvvpLLAlZqOkuYGdP@PoHMuxetpUwpQuqDmLPnHEOWllVQUgMX=@khuJ\\dxW]MPdj>]QEqUSlMy]QPiK>QPA]MOPRpLt>hne<Uiywp`oUApoAt?dkWeUhUXdxRbmvspjPTwDPL>HR^ILmdldhtMTuIYtv<XtySW<qypRg\\rRmL?]kO`JfaYd\\X;hLsqVuTm;pr@aRk]K`PqWHk@HX_\\XPultAnV]j`MryXqoUsHQrfaYLLM@mKnhJ[PqOi?dPGhTA<ujPJH=LsIR^HOv]W^PoEIRstj@Yv=AlY]KElleiW?toy=MtPQIHmq=s]TKPXRUquSYpHysbMydUvB\\UkuSODNWhTTQM]LoVttu@ximuDEWdmsUmutTYjHjRPKqUM@\\MjuPiEjGXMqenbQnb`LNTsOHmw`nGaWmMRAmOwMV<eMEdkZLN@PnNel<YRYDNntr\\DJ>PMb`SNxM[Logdl>AL:xrKlK`qLltuVtN]@MFpT?eM<LXB@lwALeQYL`VVxx=tMeLwj]U]Hs:INKEp>HVGMl^DoQxY^`NTltOQXhAOWTrY]tddKI`KsLk\\yNnPQPMKaMn>dkb@O\\HOoDlGMnbQRdaq`DT=mn\\T^`GlD_^vyjf^fPhxhfqfNmqiuDY\\RFxYAtp?ml@\\SXiY_yLGnjpuFfjFWftogvVf=qoG>f?wg>puXWnepuCxeIqdEx\\rovS@ywytvAhqAjTPpFYqiieKYuEPeexfYhhbpb]y]YQtpGt?hcavm>GiAafbQadN[OOrBytNgcMgk\\GpRHcao[bqbbXZqyqtHdknpCFfLGyXotbQZ\\qjhOulHyb^oVxhkqpUvgRHodA\\uiZLyZ]Ye:WwBXn:PypFtnpvJHf@v[CO[vwfOqjMQ`WY]<Wfa_p;XZqYe`goxhjgiiaphlN\\PFbepjOpZ?wrQVxQh\\IOqwpoBxnfXgDatgpgoWigQ`TFn:gn<Fbl?yRNtBPj\\Y\\Nw\\K?pDf`]^s\\AnPif;pnboqXOfb`rFPmTO_mVnjnudpwZAksQljYme_u;?`X?Zq^mMOa^Am`IuywrhfwVHt:fvw_]HWbey_sItpqunH\\DXnj?ckI\\rI\\>^\\lowugcgXqwXxefyqogTnwYqtSyZG^nripaFrmWv`YvhQsYvpLpm=FgbwkonaPxkkp\\a`vWGh[qvv_qBAdFn[RwowVxGV`C^lDG]UqsF_lJ_`?g__a_Gxk?q_dfubfrl_d@NmPGadyfS>fFW\\dOuKN;IC@kHNCscsBV[t@=FCyWFkbkihCEEAUBncd^cDtCy^Ebf_IA[vvaVkCSlaUeUhH?C:GSJ;TNog[[WdMHKofDoC=mHHXtJ]YIHkQMW\\hliAjAiq?TSbInAMkf@wc\\PEiTKeYM=jDtU^mydPpLmlftW>DNyQXC@wvunN@QQUWNarqqyfpyxxSq]R]ATLERcIkTEQnPoDxXMmuHTkCQRHpxiiTx@MHuKc\\no<TTYn<lmG=XnHJF=k]TVeDM\\LrxpSrxMr=xAdK]\\t;hV?YYvxk;XkEQRk@t]dT?pvtlVlIxxyLUmS?ypl<ueqtfXpplwDPmUlOkEUvusitRidqNhnTDpblwCUobISampRQmeiJhDjv@veDpYQoNal\\dnS`T`PUo=Yl\\s:`NOmKFYJcHudqxTUPFmPLTWN`o`@mEaYZLSk]XJlXfer>TN^LQn\\NZMnRTxhYndQTITVG@VqyJ;MT_LjIQLR@oIhmLeLD`JVYLbxPieudqTq>lCajYFeuPq@GqCy`xVx=`^`nZcw[Fii^`dO_f;G]O_lSgb[vlj>kNflhW[qgytWviotFnq:V\\]PbVNlPVnZ?l[A[ChpqXdS_k>hl`X]J?g;ObUYb>^[sIeENuIFw^foAopHya_os\\a^vf^MAZWX`DhlLYnxQw;PxJ>jNxn=Q`KGqFHhVQkSfjfon:Il>QZt`isa_xhupHfeqpLyaw_vcxhwXwqxmuauIphqI`v@r:vkYPdL_irw[_@m]nrFOcdvb>Vmj>x]@uINrjA^UNqSOhEa\\NPd:we@GnM_iEn^nxi>NcKgjPQZth^ofvIQqW^dwAjHglvXk]or[PcRNffYmJGyAPnM_lbq^jQfefjU`eYimwvZHHex`qLf\\OObiWqoqqanm^gvDNaq`qQ@sOH^=WabGiBQa]qyT?xW@gZnZvg`PVkBPrSPr?Gd^viNQhZivuVmpwhpoxnigOGgNA`RqZU_[LGpChf>P_rIp\\WdA>_CPdbqaHXpj>^;Wacgnhqt^IcRYa]AiTYclfZOGpCvm>P^bV_>wZ?QldPfx^trp\\gpw>itgpgoSUWXuSVK]DC]TXUrkaywMWVwccMWbUGdOg@MWJkrK]svcRKmXkgix[BeMvoWUZusm[WeAcM]ILYeoMU[Aw[eRyictwBTsxOAxYqul=xRqu;WFtOUPGeGuv@ybGwB]yUkowXAiqur=gWIWvAYB>[CuqrjieAOUEkCmIHpQY@GX[]fAUD;[ISyhoUWAqBZOsqiCIKV_etRYEmohGEWH]dGeEDAw`yHxgeXcEgAu]qCoghoSucgI;CH<Ix@ybyUfYqxeirv=XygyXwbw_UvIseMBNGY^ecRoGaAClgbDcDt]cUqv]yI\\sTW_rFEVTkrrQd:]Uq_BkKfx]VoOuq_ykKdNwd;[dF=gj=c\\]SFSgltSjuxTMRFdSSpy?]Lj=OBpWxtJkyTMPkdImlmXJLRSHSB=prlQ`uoPuVGdJ^etTEUwUTcpsb=Twuja]p]EUELKIXVKETpmTcpmPPREeRNEsO]JmLO\\\\V\\UP^=Y=IT]QTEhXxhqK`XZilEin?DydXkT]j\\LYY@kmXQNdqTToHDWH\\O]dVKxWdLy:]kkMVKPQ;`RrPVjqQIEkPTnBlUHqpl=P@tqs=NxXwamycyVbyrY=mLixNIVAYrYiRsxXyXvxtk:IpalPqxXj]S>PJkLMEdUQIntMSBynHMqBPlquolew;\\ToxnB<Ooxtt<XiXuyyQ\\xRq\\Pgen[msViRAeOQuYtAL@XQdpNYTtBHVBquBHp?`SwEtqPm[tMEMTDHppTQMxPgAjUdLn`lD\\jNILteudqdANlcNklQ^VvewwjrfdOivvacNOs;v_GVnj?kFpgXipsIjcwci?uuXxKQhY^rKWd^xr?hlS?pUOp?^mvHar^dk?lVGtLifdPe?^]U^offs^W]lvb@yjJqhr?lwnKmF^QvvQv?]XxgGe]rraEK=xEETHMTP_HpeVh=VUebVeBWEgIUwfAwNEIPcCjkbVAtG?d?_YJoWeUF@CWPIHjUujAeyYiAMvi]YwqdByISEhU?gUOInEFkauDGVTaEcuIoOYqas<UYuaH?KB[suX_BGWVsgI[OvEuCd_s^Cs`WH[Cb]sYSadCEGCYr<UT`_dmegUIrC_uaCipEdgERCkGcGHKKCPECVUT=Qt_Uv?IcIeUmkhkUvhwfX=EYiiuEFnsxWOYdQcbKbMmSduy[yxYAgd;H]WbjyVGeDsoDvYyT_EJkCXirSOIjuyeSU^;EqueZQCKoD[Xr^`NV@VMMNcduoTowPpnmU[ynRypuhtaIVeyWZuxk=tXILbHU>yvf<RYMPN=M@DsZEwgYOOYtP`k`ywFiQeAyHirwtVn<RhHlpTSIpluImpPjtaUH@kDdp>dsXLKGpujMKMTTqPqOi_XWyrnuGYvrnpOhwF>eJfrkHbnnaVIxkfx[@ykyeInanYmphxJAsZh[;Hvtpy;ihfWv_Ps_X`gpshh[?Ip\\AmXpmpfq]XiOWvSn^RfsLhkeNeZXrsntsYsEhllajmpoiWyAPmXayyAuuw[rVahPwx_yVYiaxqpdgQUceFgToSerRmPh<q]]U:AVfUVT=PGqK_Dn>PMA@t==KC=vyYjJ`j\\MJ[@Q@AMFXKZUUZ]OVYYM`WEmlOip?UUXqqpdvPxygTp?mPp=S<MvOhQaYxKYtUIYmTx`isVYYHyxVXYHcZSWuit<of<QDZYRHgX=MDwgsyCWvGhhErZaigYYpmgiqUt]r\\ghECWSKfbGSOCt\\gFlET]og<ibK]Td;wVSUPQVOQWgcTp]yVAvAWDqeHUGSiayaotioILIFgQTmquuuHyArY]SfOUXIX[iBB?x;YTHmw;ID`kFHgICAGJ?wLoSUUu?_Baor=euD_DlQEXYW^wxNuBRqfP]desY=AD:AuywB:Ug]OFw]dsad\\IXgUCNmhkgvS?IwKtiOsx[dnytEceyuU=MG`EUNIV]_d@WUYMcHsuIMuK[HweeZwgD?WpweBsb<CcRISNCDBgwdiEwcwPCCGytCgxicrM=RXGROew]Mx`itX?Sa[sEuDgMiKMgiiRS[fs[BkUYZmEkGYjqbNuSxgebOusaidgxj;h^Ge>suuow;_Ec[dDsRWIh=gGSAyRIsAISQKidQFaAi]aWswiaWin;XWGg@?h]UURADHETEeWaCW?uBYOEM_I_[w]WtUiSiub=]FdGeGOxSQEL?fCKT@ICAaHpYdRyC<_RO]Gcqutuxi]uvAteuTn_h\\sirCglGHZ]crsSUMcRmstiXeYw<id@CWXKwS_xJ;GRGvecuSmGl_S;aSlCs^AdKyb<=eFoXMovXOVOerAkCGMEhUVukxHkwe]rGoclUyEMUQah:ETKOfR?IoGr<;cyKUWSYN]wbGx@uT[Wv^ida;Snew;uTFCcNMdF[HmCIaYTTEhm?DVGdukyrowoYsjQDOwTgcD`?tO;eLutl?S_Et<[h>cGA]sYUhbwW[QVVYDbQyB=XWuum[Re[UkIhBYCjaY>CF_]cJMGK?sksfMWVHmYoIYuGfTeDs_Idaw:mbPOYmqVRQiwuxpiE=yxVytpOiyyTEyCuAVIaEw_XIyF[yghygDmUbKSuMcBuEGuVpSwlkT^;vSGXLeR<sgUeCdsi>CrFsV`SdQkbbGeq=xMudbgY\\OC`sRwot>oclgxhWxHgi\\QwgKxkWTXEi]qsAob@wSeuwM?hXeDuIgHqBCMRfKFrSRRAFleIN_TaUeQkvWSs:WymiI^eSDUCKMWCMYH?U:]gq?gpwDVetR=gHEt_QBSmhJqXV;vFIVVgtd_VroB[aVfSbMcT:wcsOwfKf;WYHcDl=TRCvISY:qyXwY_=BTsrQqdnyD`qy?wYp_E\\aFfKDESDvcuM_cdyWnAiH=V>qXpATlCK`TpP<qeaND\\NYakIxkyhprIvA=v:qXvXKtDJ@MLjMXyariDU=pld`JkQn`\\LN@kjAjAdrPxW>xWXMUU]QIYK^lmXAvXDsRTpKUoXuvNEKUDp_PQSIU?en=TQdMo<Lx<uxN=JMIRbdUIyWRYNk@SlaoWMjl]RUiN`qQTToBxW:alHaoKLNi<PaPpe]XxhpePPxXL?QNZISBlWAQQfdULuvYxuPusM`UEMV==MMaqMaksiTQEKQiU?@lm\\QHmurqxmQQ`QNfuR<XXP@Oy=rlhpUEnbxs;QV`xyepLG\\vcMKnEppPM`TvVAXRySquvjDuKHOgdsnMNtMO`aKhppW<UmXlSmVadqIxO`XupDNhPP`IlHiYqeQohNKqNAqSKulCHYIUV_ln]PxDhWMeMPetQYnpeXr=nwHOQw^pv\\[xkN?sVa`oqfRW`?FwBpq_Xroq`Iynjqc:gcmPsJWcgYdLItt_lbywGasQI^BPuSFo[g`W_hgHiVxk]?uvW_yqsqXwWXx<XlIObA_mgPcnnupIhFWuAx_uIboGulIqaqqlghew^licqYddhymAoBnjg`l;OjAi\\E`lEivrO`OX]`@hJ@m?H^Woo[NtFwhMhuhxl>p[_N]qa[rxs\\IxfPxUfg\\f[F`j_i_giwZq\\?gg>GltGuJquSI[XxsFVmKPkyFkbNk^Ha[Ne=wbk?m^^xuXihxuQWmRIp^_[@yjEVfbXhOWeTauHXxfV^`VlFO`s^j^o^M`k;FxGqfm_hn_xaQv;?[]>wNAdmvv<gqsXnlXpuXqgX]TQhH`pUae;quhhniAj_w^hXaHYlBv_P_[Y@yp^c:>ZZRLCTJctVgvD=HC]fCsdtQdAIWjOFK[D]cE_wd:?uRkr>WFUSX[ggssBCOuW[VUKWmURemeTGYG=gH]XSiFFmXOctekyD?vvkDdSx]mRuITJ?gWUfVmBXWD?=vr?yxyRpYsmEIh=Tf;iagePmSLctFKXn]Wn=WiUD]]uWitPMWMetu]w?_D`mRcMVI;cSci?mF=qg`wwN?TKcGWOc]wX?IUkmtEStcsv<aseeyQ_Rgih@MxHwXXYsrsEFoBywy]_u]SyXmuF]RquDTAh[ew=ycmyHV=ttErsKcEyY\\OTCivlaB]Iw\\[tn=DGmgFAscKy<cX^QHZqyvUCcOgBkBQoi]chocf]wRnSWcgwJeWJ[fhyh]_ERmyXOYuKFWgivUcngCuwGuqTUQh=ATs?g@_Wb_YDmEJaRKIccSU\\Qu>;Dw[WKQfAoerwEviiZYrWaVyiu\\IbycDi_dd?XXgTL]iuGgmIgveSIWgJKSbgsQmr]qeCmFikESGdx]YjMy;kfc=y:eym_xAWtCgt<UXO?UVUxyUVxcYjMSQKTMyJjal]]lJmvdlji]JCpkJHwb@uRhotejPDqa@xUlob=Ne@yR]XitsN]mReYqqWq=XFLOQQxUPVZxyflWTLjCXnTTsHxKPhYv<YEepVUj\\=nDtX>hJFHR>=jDhu[evr]lulJgDQ\\xWgyP]PjGhwvDWkttipOWiTWpPk\\sjTxtDs?IJEIRMptJymltkM`x>Py:pLbqm@hmREtjEuttLVaJxQt=PtqYtt]t;UPgdogxs]=xupyNun[aUmyWWtQuIwi<QihmmQwQ=XV=x<ToSUXYUXHYJumxYpOqIWglumIjqiWrew?=UomWAtlL=selMlLWLIsAQoJMO^asMQT?am<\\MPDOJXk`XwmaUmAmgQqxmYThN@AtGMwB@YHaQAUOs<yAYRdQjZHoYhNiYjxaTyAQqmN>@Si=ouTvwHQXYm;trEXtiIt;AKxIwAEMClnxdpaMJOLVhmMs<WY=s\\ewyYO<exDqQTHtrHLUhxGlQmuO=uWNATjXUITWAUwA<teiRcYNL@U@My]PmNUVNtkr@s?AlaPJv]Ph@MxYOglkvMupASR`jsuqqypypuLTuiDlIYPj=mI=sIqoUqyDYptYm\\HYtImgtvWHQw\\XVQTeYPAdkXDl_`x\\ewaHvS\\QoLnfXjHTNA^_VHZqIuUvkjhgeprn?m[Ht:nsaqqnaraviugmKwcKPnl>xFOZa^rLg\\MVlHIa_pyjnrg>leYxmYmMWyFG^h_`vAtMPqoFnd>s[gfto_M`clFyyFhI>m`HqD`hqwffvy^olgO^cP[K>oohb[^_KpnvVxcf``Ftb_cA`w=Vupxgu`twifIXvHFiuFr\\VudXfWoyxA[LpwPqo:hpqNxF^b^`tZxd:`eewgwXk<VpOffFNhWv\\IA^KQmGH_\\Qowh`f?aTQeo?ySQxX_Z;N`xxs=w[mIpkDiITOwHP[DmmY:ccBKBQEEfqVBUVPAXvAbAiX;KfN=WgmRCgvTQIFYBDIGKIfcEfs_Fm_sAaS`ubA;ROUuSciHcvcqd^esROyH_XbivrurLssqSeZYSVgWu]d;YsYmYrWCn]cAOtsadH?wHgUu=BtiI^iR\\kGZsHuwdS;Xymy?SCncDiOVrMi`]DcUH`OUkUgJ?SZoDymGxufwatMKVy_E>ATRkE>guuagXqWUuh^?dXkg]Mu:Gwh?F[OUrghHuvEUIVAw]AfSAcg?fRsFGsg`YFUKXdIfa_byOuQaF<EY@qu[cd]idCmFS_yIibjqbPuItKfDoVTWBvaxqmbUaRmeXaGDJEf=CiFuTUAfcmWimg]aURCeraU\\EVdOTrADDObR?V^eFpCF^?TKIr[USaARZOhvCyP_yXEgHOcDeY?mF<YWsICrAXMsiyqbrqCbUumwUTwXAef?kcrSyxmUUkY]=XiQHewYuCyaQW]Mf`etT_gSQdikdCUWksdmEhAWfcQEX;XF]RJOgoCySmb^EcJic`]yr;xO]C@WSYoFhKUP[IjubRiIJ?ihiy?UGr?v\\[YDIuRYXOQI@YUXuwQKCbaiMQCaceF?ShgRYIvTsrKgfuQeTmvs?sa]F>sxFuyNIeYqfUOTcmxF_H<OcomTtMuHYFXOuaSdFmFwpuiyxuun[Us^pjJiyqeOM=S[lnc]kRpOY=^?pmDx]LVeHIg_XblQt[gnCajbWqly^Anpxqlgc=iriyWwKyb]RTeTssrQui;wuyqyiwh>SXYYxXYCq[ej=iIAr`KrM;I]ctBAbuawp=TMKWsktnGsNWvo?digT@EdhaUW_rK[UyeSoevLQXsgBVeuwYUjerq?fGQGM[STyrl[dtSUu[S>UCTWDMccCgg]UuvgBeOfbKXWasges^SdFxoEPSMmrPHpjqtFqqRHpHmtZTlhEJ<PkbPL:YrOXJ=TR=hLKTT@QQmIq=YyPUahFysft@>kFOeeVs@nsUFf=NxZQjgq\\TQkJXvxOuNWdxg]_YlnFjAVms_jaWnSydnY`Mx\\DH[KavlAh<IkrQvgwfIxkONj:n[YgkoW\\^>uq^qiqsu?nLwogwqqNyKyktp_vW\\xfwFiZOPg_`dbFd?wyHI\\mf[S@pnpZlyg[^\\qff`FmFqZ??nPvlnA`HVv``]SHjgQoVquJnirgrowkViiFfvK@yQ@huYlequvqeciu=IpAAvIiixiiwh]pQwOA]aQe:nftI[S`f:iysq\\fOkR`h[ob<`cXFo`yZZ>]LNkfwbO@bCnnUijBhighrONa>O`IhtdyqrPpvGwAH^fojXx_Inxsnt[g_ofa<ocJFhP@npNdcqwi_]X?pfYfC?\\MarGhjG^kBvdT`c=YZZh`wadAYqnvuoVibFm^Ox\\Gpa@a?xtMQ]cAnI>yFfsZpuUqjiaea?raNuHVetv\\SFgt__`?uE_[aPpHym@q^Iilexw:oktQmKVgNFZhgwJorr?dfqljQhHNwc`kIhqNxiTNm]@lYNdSOpoGZFxq\\Hi^iRSWKQrvaYVkWhGYPgIJsCooBsYrggdHgWYkcP]sg[sgESDKwnQuHGTOUFD[FX_t[=GgiSQarDeilcs^CTRgXI;beQiUUTGGemki@sVj?YgKyEwSAcbperpuVPiR?eFyUvISBDYiWuEXCuuUyhGfKgCa_CCSW;gwRaCRKbPMfUmfLabKsf@?ClGsNYRUOD=YVgGiegC;CUtii@iskmVvkyFMHSGvkqs:isbmv`[H]gxt?hoTn=awnMMWMKwpkAULjdypeNPHXgQpxAq[tkE@WZ<r@qXiQJYIq_qualYuusPxTwhXSEPaULyPX`Yo:QVdAMPdrd<VitRfTkO]rxTlF<qIQvsPjaTwAPt`XtZIqA]mjMNvyr`DQe\\WEik]qRHix:PT=`yOHkOeO<]PgILp<xYdlDeOiUwrDo>Dq=ATHTJX]kPTyZIUHmXmUPCaNMxy=ESeuN;uoQlStpJTtJ>MQ=UNQXsc`xwHt[=m]=P^hO;=WREk`\\RwXLSYxKuwsUOHUp;qm:HTI\\m?=WS`QCuQT=Vlyt?MnjUWTxOyDum]t^UtTpYOLqoXsfdU\\urRTXHiJE=pcLQLPWVDV<]tGTWeUXnuvNmMKerRlLA@yQtqrhN;Xx_Opjhq]QtEwlhhaXWtrNfqHc=o\\`YxsgrAGge>rH@]E?aDAgRO`Sh`:Wt?N]cxd>?v:Ag^Yyhoa:N]@pqY^q\\ivAqaoAnm>t^G[ePyPWkVfy[PbrNkvxafOosWw@N[l@xrncQnmlFs:XymykIYtVvhONlD?kDVjRWdxf_l@q@Pv<HhOqd:YpTVk`ypdomZQjRvZUijan]=puXarQG\\insRpgJyn:pqeXpaOZbw_rgwQVrvGycicvqbCXvI>kAWuKWwC@ihO\\mvt>Gugoa=iiHQ^hIm^Ox\\QlJAhq_sRHycvoT@mKifjf^Tq\\jFssi]bowB^g\\V[VabWacj@rJV_`AfL`qiNpUPdma`owj`W]V`j<ydJilG>kx`^hQtaw]PXuiwrY`wjPsiFf?Yif@b?Iv^`[[?ggAex>tEOifi`rG``>aJFaWFbIfpXPdYYgKAZRV[WgtUQrnG[_n^^>gJ>`Xp`gomxp`Qa\\:fspF\\C@nNF[I^cXFlJ@aXH^>@k_@ZwhjTHfLnvfQlv?[GFjuovH`ZUooSvoOYuQx[XPxdy[[vcOP_gAiv@yoyiCo^p?bIw[unx>_phgadIefW\\\\W`W_mDGhGwaQfjr?pjqnOaidOywHsAw^yHem_pY^rdVlCYkWo^WwaMVbFwlaqnYGloVvIfar`ph@^>Ww>^``xf_Ggl_nKYZ=^vkxr>yshhp\\ajWhhhxhFYc=@r@X[HI_uIcwInAp]aqhvpiWWiXWlh_`d?oJx_cnrafdtpmJNb>XbROsTglCoZVyfqan[QqAVl\\Ff:Qokx]p^l_Px[HtR>aSaiqieeNiIicSapfHgly_fHsQ`x\\apnaZbquDqyiykXW]`FhuAikWrDhxa^vXofu^^gpcGa^M`clrqQBMCgE=bs_bb_DpuwSKyqOvgUII[C:UgJMuGqE@CrAigDuTkgifCfoWv<[tOqwggeQ_vXmXPItA]x<udiMU?ItcYX`?rWehGerkscaOEcoFfkhnQSt]D@ogUwSygY@=gWWbRgb@webKSBeUdWcKoFKwFFOX[[dpwedevDEIgshSyUxQsYgIpdRteuLqnTQWIhTZ`T<hWUir_uuupqa`XxAuwXRQqUyYwyTy:ijQlqmpmILXLAN>ELmXpdmnFmV;@x>XUhhXsivIeYxYxQHq_xtOMw=tpw<PjesIuubQYbXqa@xpypCiUp<SNmm@=Ls\\LlIy^DSBTXamn@ajnLsSEm]Em;txSAVRaj`hTJYot`M;aXRXSiHxTMQB`VuLunELFpLilTnuUl]U]@Kr=qFmwLlP]pVgtwaiJplRDem:iv@Ql_av;qLd@tkIkeYYYDTPEJjiLjAsKes]pv?TX`IL?ISV@wBDmUPQFIut\\T`Dmv@q>ync]k:lNm\\tMaKw\\WTald<nEePy\\S^XrhEYO<pOeo;el<MXomnDpoSHnTxM`\\PaapL\\kJIJkxN<@yQ\\wxDqyUTkISJYxCYWbuRrXts=KfaJvTx_mONUMOiQ[=p\\`xgMxcHt<AMh=LUQpEpqaQLi@jD<MJDS`HuQHqKyTJpnLYs]YkBitSEPM`YFQwdajedM:dq\\=nBMXaXn;PWwLXPivjUKudq<MNihO_QyL=V?PMxxoVmKlMUqYu<tKtpPVlY^ulXin`\\jbeWc\\rk\\wsMS\\lyv`X\\=KHyPbAucuVr]SxdT;Typ=kapXZhVEOs__bWar<qd]N]BIi;Nr?o\\MgmOWnfXkDW]pgswhnSvfAo^IwraF_QamSonKiZpOqkIjBgiD_]Aasp?cRNhIwk\\@dbhnpVcjVkRGkbQlHipciaF`_?`eHoagGraqyhGb>VktPeIVutAuoy`Ya^Xwi[peAYs[I_nQj_x\\evZ\\@pVVsGW]C>_IndbXtRG]Xgs:XyfwhKGajnbgwbTnbEF[Ofdd^vuxvHYdsNf`VyWVaGPiw@bc`bgyskO]Q^mVoaIF_kXjl>[OHkDwgJimWAvFO`CavshZ]IwRh`SHuIxbQVidfh<hcIWcoh_C?jUQwg`bgik`WxCPuPYZ]X^yAsxOdGXnPvqJIlenmWYh@WeJodkXhqO\\xV_epcRvfGft@oscQhuFmefi?^]ZvZeq]<WlDA`EAvEg^D`d>nroatwHnD@^YN[?^p\\oy\\iy]FhqXetFvFYfWvZlOabFyeX]<yowgwlY[h>ey_vEodY`i@hljNmqahT_\\MN_@yaSijoO_\\HcSfhlPsy`cxAfrO^ay^aon`PZVgrMQ[C_[RglWIoxH`L>qEgsJAg:qtggxsfa;amh_r?>iX^evqxQoieybr_adh]p`nyPdCqg^oZVy[SwmPga@F^FFw;Py=Axs>\\^PkFG\\jn_JVtwFcfv[D?aH`_FhiEfc:@cdw`i__^Y[XYmYQb]AkuHr^_rcf[WHd=WveN^Qq`WgcrHci_uHVu`QkH@\\IItYio]_aRwD?s;;s<mGS_VlQfl?r@CfmcyPaFRIWPUGhGRuOfnOTkIX;ibgctBgBoMfpUGRQcm[YICEq_TwGU?GFPQbvSu@of:<kYDxUmwVIYyypQdUIdORaTCpwGhWj`oLLkm=VY`pgEo>AkOupJxXvxp@tOeEOo`qfmyKiob`nTlRU=P]hR]\\Ndxe:q`Mg``Pq`v^kfia>ynNkIWhdgkHats>qffygNyagsrInFwmNImOyk<AqCOwtIdTyrNw_B@kvptIQ_PqwraaG>sjok[^_ravVXxgifeOedgtwIyVoi?QwOn[CPoOwg]yg@xov`qv^du@vexuVNevGawNw^wbBVaFOgsw_A?[DPfj`mdNrR?xBF\\>Wm?Vsl`e??nWHpDaflYi?_c=ibw>ZCHoBApdPboywG@`;a]VOnDp_rV^ChcDWapIpIqiNhavAw>qgcQdPhuIoik?yNYdtOqQVnq_qyXvHYupfaoat:ylxQybylW`^aQglfhxOlpofof[GXvcfaZ?eO`ufXr:oZVy[[>diG_=NgPIksVcbXdX_`x?v[q\\?oxenxgwuTYpawptOkphsXhx;VllGpF^s?FtnVeTfs@@aR`^fVlFO`Caf``cmnmeqs[AglFs^OmPnZCy`^Fdsi\\CgmQYvCPcRa[egZqh_Yog=g_gGgqNhWN`ZPZ^^dNNffpaXXgGimm`x>q`bfwLGup>ioNeX>^ihtKiVCYp;iZoG`SVjme[IbboVMGW:YDNeU:QgOgYlqDOYwZAGiyRoidyWvpYYYsuoMgnqXBKhkofcGh^gF:_uReWvgIbaFLiw<qhn=rfcU<YGw]HEQTq?em_cBoFMwIBMd>Ud>EWPEw>gFhOW@OsGUqkTk_LMy]yCxNh=ygXlmeQUQwR<Me`uvUsgunXPxTMS[hoGdYnYnAISQ]U\\pxfqP`=rwALpaV?Horpt;xWnDWgPVTTQHXl\\YW=Uw:hW^QLruyalxxYvYqpNuMJXl`EkZ=Lc`kTdv_Qu`@QOuMF]KAQjhyS@PqlAJiyWVHYQqtAxMetkGPt>dNJUj@Hkhhn?pMbLtkhMo]lWHpD\\VLHsExRfaVDErRdx]]x@Ht<MJk]jZLrDlKpdRMMR@qPByjk=MudV@IuaHyy]QXtwyHuxHJ>UJfLKs=YadQsaTx]xd]qD]ld=PVYKGPMj@M_YSi=neTyuMytLnvXS?YYgype]xC]vq<qNursiTruMQiwTlTo\\oddTPyT^qp`LuF`W``kNHsohpMMsUdxAeSAmtw<mhLsQDWX\\Yldv?<VpduydlRUpL<ORPw<doGHqd\\sOXMDUld\\MNiyRPyo=PdxP?\\Ud\\YKXtN\\J>HoPHx\\DkM`mIPk?DoxiLAHr;hY\\yPy@q]PufeOrinLEVUIyiaQ]pM=hN:qoutUratReXymOYxxxDxIpYx@JkLo\\\\j>@vF=L[LR`<quTj_=OM`S`TlVisNQmHHYUMMU@wkUOV\\ucpVR=Wt@ylaqQ<LELQtdqHqtVqs[iMsuqehrgdujes=ymrYkmejw<UByLH]QwtnkxYGxPT\\ugDr^TMOhPMPvHdsRUyqTwcmvMaO_mO=lwmPQ\\iPSLyZMom=StLUk`pwTOPMy?PNNetYHTNujwYYOMu]YpQdWjes?UPittGqLkhnsIk:\\UcmTEAooTq=Im^MlCyY\\epKMmyMnfaOJmJnLnkAwbAoYMxfUsTyj@yWXyqElvNAN^AV[<v\\]otlqy@YZeP:UoQMYcuvL@KraYZiyJIpLdOYXktXuTQuoUJPdpbyvriJxDkVekhXLLlyMqZL?dUV^>>[Jolrxxua_=hcjvkO?k@ou^^oup_SoqMVttXfsFhm^hvwouX]wYvQx?;YBsutUGVSYFQdmws>IYGoriIY:wUwesiQrtQVASd]yscsewmxDKgmEdWuS;qf^KVXWw_uxqSdy;T^[hBGYfIGhmXRYha=Xv=ioKC]_fj;tqsgiWf^qgVEhjYdyeryCxckHVAWn?u;ItAigMWds_diEHx;GQ;bM_BQKCfSiIGEjuIncW]osbctgMRJ?DteSRSEFoWFSUtoRFiTv[U_kdSAWeEioEvXCbjsxbAHvKXYOWDmvRqrYcvd[c_cC[osL_tVwfVCV@Ivw[vvETLSVjKd:Sg<=R:qVtYUBMudAdbUBTgGAuVLGsEoS;Cgswg]MUHacBqdJQec]Cc_ytwrsqw@[bu[rZ_rPyw:wW:UwriVjqwxMHigdqSYKeYiCRJWhFgHxOXUAsjEXYyeTeyEYbOwH<QT<=cAcEdaXkOShAcjAin_x?;sA;iZMHUEIKaG]aU_AXA;IQ;Us[soyteei>]wCawVCd@Iv`CsKctpaiwceEqWNuDEEy`iC=eBMqC:seLIhkocZYImos^iFtQxgeyUmfcmBBGXQ_S`wGQ=YT=V?KYfkcOSfAgtNQUXMvYCTAsSjEv\\_U\\OyPEulaYR;ukyGmwUtMFV]XkOUNertqGgIEb_yoyBmeXtmRkstSSBYYHnAr>UDDGIOCrcocD_UHCYPmSUAefmR^MH=]C<=H[]rnmHS;hW?sgmEduTHsX?kipIuKWyxUut;E@?bfYCIYhxKx?eH:wctcdYox:yx]OoAiMuHv<ytXXn`qN=amkDv>QqVanOhR:mnUDK:Mu\\=Ri\\mkdQaUtZTqC=QBaqraKrxM<Tx?XXMAJOQPd`LImVYllDXKP`O@uKE]JYMxs=KGQkTDtCMJIqMfDTFiKHPWealBLquppqIp=dtkIkDYQPayCmXMXPCaNMxVAYxDmrLPs=epAqXgYuwuLsMSBDJElj[pU=PN^ANbeRslO>MmhyR?<UPYWHtYcQKvttOajkmo_DXqDLNHODIXfXUqDuBYrhttgUsMMv=eVXHl[Ao[Pk<mSodoJaqj=Om\\tIiLeImVuk?Mm_]K[IMGinB\\RGAsqMJsUNwuS_yO>`aJhyrqtAy]u>`axriqaJ@dAFeafmr_nCYaTn]Wny@yuyQhwYCwgxsVo=u>sGYguYaSxYX[_edQv`efaKGOChkqruwbcmg>WXMCSwIvA?fSaWtocUQudeYvYVYkGFmP:aNHDx^\\mk`vVuW@isvDXBXmOTu_=rwATPHX>`nC\\NVlnRpjotoTaVxHqwTrLpJBIUs@MhPlMun[En`<lP=XL<pJHnhurc]v@hcJWfV@j=Va>Asbgh^WbjG_ZQanqc:aeROaXqpl`pn`\\hFlaio@^lDNe>GZQ^m^ovlVlFofI@gdavRIoR?k>AlAQacfe\\hfOgdBijD`q<O]KhlrochwbVXwIh`y^[K_]if[?G[h@eTalH?cFoldPvPG\\@WoZF\\?Ineg\\:?xtF[S>xk^dGF^thmYqt=fmaVnMhb<vl>vm;hrBGpA?]MHlMvdFxyl?pw?voAwRX\\un\\Ingi@dT`_eIwi^vEVskau:@i@`m@Xba`yYIp`f`Rh_yhpnFy_A`SnfB^kTQtwhaoiZGAwR^l`_tHAcGwrAfiZwciGrMqrFQmCa]mVvRwfPP]uVi@ilMxfrncXakYwja_y\\v\\`Vj]IyaxmF^yLPqepjlW`i>gXWp=fobgmqqyq^]RQpsqgyXgNYxVibExeSNpjFgpguxWcUyqxwy^HyQihYwqk_ygw\\OpkxNZk`ZrXoUhjZQkVFa^F_^FkdFjgxd;igKitHfcEIhgvdiVj^NmuoufptLFniaidAbFAnANtiF_yycpVnYXexAl_wwn_gR@ynFiTq\\MgqpFdIV[sPj:Hg\\@^@I]KiusgvMhrbpbJhj?xbM@u\\nkxQd[Pryol]vx`PyygrqNsrOmBqjOpxBV]]qmaI_HX^@>cRQtEq]aYb;h]rXxmylvGneYqYOgsOhZweK?tTqwK?oqXipN\\JG_Q>aEXeMIrggnQ?_AIcXqhF_vXv]nN^BYtXi]nNe`gfCP[MQiOAjpVphGmxFbm`_[x\\FQx>ixdaoD_hQNk>>oIA\\OGrHVpyOvbPa\\VtwOaR`_MIda>^Ii`YO`ZqiBI]lAmlVdohn]h_[AtBqqwggwW[XhgqWdeimA@nhqt[H`[bEcVwgUmKDFEHfCVWUC<GTP=wWGS`ShEQHBevgEfCQbK]f=sTpOHyOOLTnEDNRtRtTuGeWCPRgENOuULeLeqrLDvMLoRUq?tLFTT^XxPiTLhJOXpWTNcAoupk@Pud`POdTUdtaDwHHr[InYaPieUq`wjYljIs[=M<EsPavFqNNqR;PkBpNK\\rx<YEPXmylhdKVejLdj`yUqaK@=lYqrVTO=EWmPJDLTD@lw`xjpmI\\YjXmRUoZ@nS@RZMNZDrpiU\\qwux]`qsU>oFpekgvgxrYvhHQm_AsmgtlI[;QorPoLAonHi?vZ;vnZYy`?mBvuQ?p;_^l_t_ox\\olD`bgIwMy\\\\f_nati`lepbBOo?OlkipnNmPIys@[V`t]idbheeP]E`c`ysDgh;AoQ>_A@`fHsqnt=wxhIpWVicQmVHaaYoIIi?vuIqqtys_PhRvhnxl<AcsAwTpuTVvQv^@abcv]Q>gaIsqQhJ``Lai`orLgbdFjuhfwyxtpm_?rwAdMvscn_T_ZWX_TVbIoZDQimVykx^[`u=Pk`Ojcayjf]fw`eHospjgPp[faqhchI^fGagakuoiOgxP?gCnvrVxcfnx>uC@b>psFpf_OlCo^Iyq>qg^G\\E_rlirH@d?OgsAueOcB`u<`\\xQvfv^GIhWqvtNxPWliIiJal:`qh^\\:pg=oiL@dyFdK_p>YtS>_XHkHfjTXn^NdnGvFGZrXa[WxWVbqiivXxd>pe@^IqtA>\\syu=Wqxa\\XQuPqttykfigyHuvWui@cogdchwvauK^ZMXfgilw@qqx[GYdK`ZjFubPcw?e<QdkqigwomfblV_>XeL>jCN\\\\^jWq`AAmBf\\hYkE`r@X]iPfy>yPqp>Ihg^fYnpBvq\\ad^wvUH[jInWGrXii\\xna`tOiu\\^`rWrPIZ?n`NQpEvh>PeCn`bhup^mtqjGag`_prfZEXtc@\\^VnBxy=@ZYakH^Z\\AFkSgEKyHlchMaTKM]XgPmZTl:=RQAjDyN[xuUMmulKcPyqDYF=l>aKJUlmmWUMYgtjuXtYQRNQQX@t?TXRDmodqLhNNtyNMl:iPQUxUxWX\\unYmhYJnPYpIk=uwxux<iTU<rkHyStV[YNIPsQTX?DkxLq`IOfMmj<k]AUthxtQJ`]l[PkamUyInExso]oWxSydJhHjQ]kNMWx`mVDKMDTwHPV\\N^AjSYnFxrETLp`tIpSMUviARYax:hSydVWaPSAXdeVKtxQ\\kRmXQQuoAXNIspyOpYJEHPLT^AXkCOxfYy]Wt^v_awvtGx\\iqnIhJalnfxj^\\dOwJ^fcq[J?k^guqN`CafpH[`nZPV[\\FlQPfhY\\=gk[ObBGsEY^Wh]xfpBolB`r;opG`o[Hx[If[NiUOiLy[\\fllw\\aNmCYil>q]>_WVbOFgLIsRAeJq]BYdgi]TyZ?IhoImePqA?_Mfc@W^KVipxpXf_YFwYVgkIw<WoeifbgqNq^wAgHpj?nnkWmhOehhpFvfBgejolhw`e_jdpeEO\\sFvc^s>ahnfuLIp:qus>wnX\\Pyuqwg;HhpphgQtTg[TWaNOylyxxiiUyqyAvtYpHQesQqQimlpvjovbajanoDf\\g_a=Ac^fkJq[V`w`vs<GtEGh@YjX`]CNwkIfWyhWgCIX^AGJiUIexfkTTMrHErasVCOGkCFPSfNsrGehNQFK?WFYR@gvUQTKkiyetGcb\\YWt_w<yGi=i[Aw]wviOu:]fhMweYRmyvQsfvcHsiGpChSCVbiRcgC`_HggRJUTjUH;cvpObWMvVwS;wWhOCpEvyGhnCe;sx=ms?YrdIIQSCUYfjEeXuw\\wtVABBybqsi_MsQgVcwg`orAOsJUrBiv?sE=yvKYgiGCqcy>sy@mcZoxR?u:aWOWDewfm;RMIVLCErGErus^SdSYvawFNes[ECx_br@qiulRyXCXyM=VKyTSiNE=tvXTkIv[MJsUtsajj=rkyVsityalyXXjuU_am<QkIXvm]Q\\qofeUbdt>hnmhnYdLUur>ari]rixM?Uqy]SiujjlYgewRYKTuUHHly\\UH=rOqnuHV=]L<epj`q]mo:EL?ayBMpxeSceL@eRhPvlMSQ=yV@OOUlbdO]YWeXvZutfxpIEP:AUNPTCpywaoi\\rmQQx]XZdP`hS?aQ]AoATrsaJPeSwaTd`temuJqXHijmupvLnjxoTloD<J:<L:`N\\^dqh^egiA@xkI[yvmqyovqeh__vguIninNxUYgAp`Xit_Fp?XvCfcuodLpx^NkO_[OYp]Vu_?raHiu?ZUpm:nnHQciotsXqmVa=>bPhksym;owa?evWhivnuFk<HcBWvjfydOwIOthWnDilLgq>HdtP\\<AnhPt^Ad>`tsPaFIbNXoZ_q_fyf_n\\QvHxZ[?svvsfXkNVvBHux?oRht?wp>`ykg]VV]MweGAyHhfbXhcqy`Ajt@^Cn]dX\\lan<Il=HsC_jVPxXgtLGirFjPWZ;FlJYbja^C_eqfqngaHoervceFtynrNivRNZXNo]gvhvkLFweAqRqbp?wafkhn[]NwMIk^_cHIm\\vkNC>UF_ARqcWjgeSGSwAGgAgmaUjmIUgRAOeRqh\\kUJoEV_RUqXXmI^IvwSiZ]WvyCKmB;Kx\\EWDUvR;ibUGOWFKCSKotOkFa_DIAE[SHCaVPEs^=Y@mis]bgeiuur==XZuHNurX;uxGi<chnYDd[HjuFGQUgYu\\qg;Ihw?Hp[YoqwAwEVsuVAb`oCtGdBgFCsSX?SXOigUuWuIUSiuqg;yfZGfPosqiTH[T[GdA?NEUmdamSdNJXO<EYxYqaymnQsVQWYYxGDstXjVdmWtkdQL<LMgDjZMKIHm?tQ><XJ]oWMqUlWPlkwmq[=nCIVKQVp@LoaRCDTglmR<W`<y?UkKIVEIl=]mBhrsaQVQxuhM]ISv@PQqU^lYXmk:tKvtLf\\VC=K\\mTM]vMeXf=nGAxsLyA`fPFoJFrBPcfO^bO\\iirNWhKirkOa^^h?`cVfbCfcMiuCp[<vteihsyxGy`VIxSycYQxiwuSIx^qwWNh]wiyNqfYwYneXiwIpb=vvypx>xdwP[aH`oosJh^A^jX_mKpg\\pdVopgpjUXwtx_tXmHhvg^pBpoGOvVx\\lircxclGqVOcAffeplNQ[uxyQIfro`kq[oHcBhnPahjQj?VZ?po_fxafvvPernpInre?[rYtvF`fhypPmhy\\Rx[OhlwnrTWfIh^U^yhG\\CX``qmN_b?VuoynVOy@Nkc@vxNs_w`sVlFofC``Wam@^eopZe_gFvwti`YI[gO\\jwbYqpxoyWoq_GaHipRirVhoDprhOvI`gkppia\\qObENZY?bv^iChiSIxvGtUgrcP\\_hqLv];IZwFbpgyt^qiIj<qdbF\\=Xqiw_F_oJVuyFkIG[bXpdwhsFcLXtupshiwcioEpZQW_lom<qhtG[Ix`L^wUakb@id_k:Pdh>\\m`_U@ZAoo[ah>``Xqm<yxfht[a_:nwbFbLFaco[rGrNQqvnpvg\\nIjkOZlYpD`bOFy\\HwAy\\;@kApbwXwhTXwFaeWWSEpgrHwCvgwvAI;sc:?goouxUIAMbACB^QiJuuv[VueFOORgEWiITmCx=osAorcAIRoviKSusUDGwr=X`sshskf\\VhAowDQypNaml[hkmtXOHW^]WddSGDLOdX?PJAPL:USNqULXyDunf]q\\lphuTSywsqPntYx`MQlybAQ^aTrqmNQNb\\l<lm:YvI=k^pN;=qR=qptvtIqGxq^yMsAPYYur\\oQQOyXsYYq^iSJ<qvAwo=XCyJpmWwMvCYkXIYLuVaLoAHTHyXcDxbtnPTK^LYaLVT<UlDntXx\\Urx]lhPqFasfiQnXW[MtA]nyulCQSqeSRTvpXqK]Msdk``XTxvLDx`xjpuyTuQpPlmlkpauGtPpPRRLJq]LOARuuKftU;QqNTvPTtnDqHtmh@UrmPoIm;tx=esJxjGuumIVSQxluxV<YlISs<XVTu=xvFYN]Ulextx<YetTf@wkXUL<nLdpU@XXtlpyTZTOWUnCQpMUPCaVPIM@DQkTJUyxRXthEuuQtI<LWlYZqu;XYIXUu]SHLjT\\tY<owlXYqpGAptMxjLjZ\\WfMvI]sWYvpTvbawoXw_ISDATftvEPmEMtDUTday<qQRTlyyOhewiYWgUmJdtx\\oDmS==kvdq<\\O>tWPMMxEOIhXQxPoPJiHQPiMUTwrtQBTlIUs?PJL<kbiluTL`iP>alSEldYxcTTW<qoAl;TuLxSJ@sATr>MV]TU_EN]LoYhlvmYFqpVpxp]xCxqvYxqdm;yYrYj?\\tTxXdIORYxNQLiUndlylYNYIYvuSumupQU`auoIqIqYjiLi@s?IKoMPVlQUExyMot<lc\\M@DkTypfmMyey?uTqTmkIKaHQYMyUypfquclqoEuI=UMqxvup]xX^YjY<YM=RZYpYXqvQweujaypomyoyQfTQaiTeQvRlJAqN`qvDYJf\\yOiKUpUumWY=nw]jQaq`xm`dyPps=XxvtlUdl]PLimnQdw?@LBUKxEx_mXf]ybyJ_YWclWTqkuhY[Qv;LoJ<qE<WrDLQ]YayUQiulHPHPr?=QqlQpxWuYSHqQuYTY`JG\\uyAXCAjuIN`lqcAlKYtmuS_PqLToxqN_EQemYpEMyYpqMv<mQ;mQQ]YIMsSqTepuphwR@XS`PbHKNdwZ@w@tklyrePnkIltil;hvxhMWhpNiUrpUmXRNhvvTvvTKJhVLHsfLlReVXXK>ML@yyDIYeqklqomQniErrAKneT[<jqPuyauAqoreMv`VFLwYQxyUKedJn\\MOxJ;XMDHnk<W:\\Px]pnqKcURYMpayuHawwdfNyp]_yKqy=fymYcgU\\?Td[hV?umQSACumQgW=V==wMoWNmX=US<MysmUQOXfiTd]BP?gWERsuT?qTw_FycuYUDagwTWtRWdr;gEIwnkXBavsYDkSJAMysESnqkNtxBaMMlNn\\P\\PolIU^ivUtLalWC\\y]hwyPUA\\uoaQipkZtW[=y_ip\\]WreyVptxiUGhQiMQi`tu@OJEQRmkoluFYUP\\j]Ln_`jftPaPQlAU[<X@]S^dL]mnLTQoil>EPtEL``SvytY<mk]qGMWMPV>HtUMlR@up<MduRsQSSPsEpvV>y:>tRHt?`rT`xQHl=G_ogd@fmdfb`nkd`gbot[Iru^rQoqvAn:yglQhjwriQ_YpyrvlIngMi_ivcrPxwPcsInmqe_ngwHkYQieI]WggsGaOyapIvGWZuHuY`eFodY@_hIunhofwhfwibFy[if]wlvxpfP`^@kh`g?WndQunVrnft^x\\p^\\`PxgGtnQ[FvabXtLOmTWf@?s[hyr`]DI^[Pm;W\\T^b?fuu>ifv]IIhkAcRfcN@dGNfNAu@q[qIvtPkToitnr@hh?AfkAu:nbbh\\qvvrotJAsB>oJ>[qFbJ``^IZjauDY`=nWwFNGXa[c`iGTMDIkuicWbweF=bUmTkAHWCRq_dSiDDqVdaroGWauTyys:ww\\UBIsWYQhgsIHebrsth_FWCsnwWHMHRqeCmFmGsj;Weee:cF>_D>mWoEXsIyfAcYsdY;BRYV<OUuoJrpJYyMklKsloTiM?EPNTkM@kFA[GWsZIj;HpXQca^suffgIkEfrTQ\\dn_JGwGa^APZvaph>_Jhnq`qRHh]psj@p:I\\:i]QQm>?[OPkR@fG@_VFeLOejorSFr<hZd@snnnfqpUYniaiqyrAhxFyiiymW@tOYncwy\\AkrnoZHgSNo[V^NwiTIuTYsyo_K_cgcJkDL[dU?Xooe_QGWKeeifmEW\\gsDIsF;DQOhL?SZqGqITo?CPOWG]gPit^wDOAgE[dmaYoMduswy]shsEasEkcv[iGqwHLkR]MUoeghCYTIr=sBx[xKOtPyF]MsUgBVwTeIX<]WSaUA;Gx_X=Iv]wCqgEkorxUtUyulQdQ?VC;HdiXBiVWkXa_iJcvKEbJOITqSuCU;eg`UIhOxX?YM[B=ardCDsSE>]C<iRBOt>=DE=gSgDD]chUgFuxyQX>WF=kwA?eZEwmUH;cEWSGXuy`UyXwU;SdHeWWedBwrC_er?IiYGLur>OVosiO\\Vk]nB<rVenBLW\\MRXHVeLusiobqXbyToaoiIkfyKDhue=vgMt]lso\\U_Msw`wXtVLHsfHmiIT<\\kKtPidKiQtTQXj=vEIrYxUl<x>IowtU<Hx[=Wi=swmMepw@@NgaonMNyLxbUyjXW>Av]XNu<rUYobAJ]PVemqn@rYEOZtqFtsY]JmuSOLuN=wv`VkdL=TLJat>LXRYTkqMAup\\mrt`y?HWDMsTpsLexBakRHumDY`xVxpVlTk>aJvDwnocTPb]op>YtIHl`idyigEw^OAooh\\@Hr]QjYVhtniAAoywspYeQfxIienPw^FbZFg<iyqybYPyBXpm?ynyrfQyZqcxQoQialoxSWgBhmIP]Ggevf^Ix]a?mt>dho^G@rIyfFXryIorpnOApDHnKH_QOkkofSo\\]_\\]gfviZ>A[eny`GnP@dDP_<Wgk@aH@lOV`>AldQsL`Z^hcYV]sGiunjTvZegycpuYyi]WrAxaTG\\nHcfpkBX\\@qjkh\\jN^rOtjYxep]ycJkCvsf_oEIGD^iipiSEwIlIr<CXdsWv?gsMyCUD_QXsEVYOi^oRMWy?Gga?WR[WnAb<MiEKhCyUAUTGSd[AffkXVKwyaxeKWsERb;WoOB<aGoYGgUhl?Fd?T:=uT?R\\]rfQH@YWOkF<euKSw[OebIUjoYIIdA=uHWHPAWDurfKwRWCxgcneEBgb`Wi]SCnaUd_H=kwAOvJETsmfWyRg=By?vjsETWb:QrKYyiYGiWUimdcgvVwDcYXQqcmcfLyBQWTWMwYMB^WCooxOKUpEb`Kfcgcy[FgWiC[sa[DVaGNqdCmFmOGZWHSItJERgEfc?vViHEsTWWsPuU_yu_csbohF?Gg=XIaRs;Gf?bxIFjoE?UiNIFsQt@OtvWr[msSSsHetJqEUQi_SsiiydcgwKHXEgFmekkB;cGfyRYsineYMQUYsrDocR=wHycQqUuUtXGtQwvVoxkqrJYrUwBXEDcsB:=H`QWH;t>OCsKuLKS_kDGKX;mbTyyuOC:Udo?Et;F<GIaaFgmRDiDqUFIgXVkEjCHwQdJotAkhccIKYIeSeX?CdIYjmrSSwyEXWSunUiGAg\\Ejn<lZaP<\\Rb]uJpQuhWSal`<KsLxePWopJ]MKf]xnpXqqp^HJpMs;qpmxnrTR^aPJYKX\\ujpvUpWnUQpXRRunLyrl`Lc=kVaunlkmhku\\WrTxotoSUYhIqDYXh]jZYywqlAlYjyUwQuF<qYLW\\\\pketCQjMTLOEQOXxthxsiyYAypIOYTwDMK_TmRmV;hOG]l\\LtsupULqTEQaPqgLn_@tmMTmmwqEVAppnYJqdjCHn><Taas@XR`DmFqNCdU_ajA@tNXTs`td`K=xKGDq_iSrAmj\\MxpuULTNMLXdtZQs=`NVuTcdoFypy`[hik\\inEGeqWoUQwcAoGFfsf\\yfknO]Fp[;hkcijWWcqAef>qdFmw`jN_lHAd<wnGA^n_jFXw_?qvppCgcWx^gacoQkJXaHAx<^gGAgKptrX[aIq<obS`yYFfhg[`hp`w\\vob_FgTQmMQmxOd`ngDxnDh\\JN\\_fmNgs_Hac?eovuoA[Jwu_ik>ql:F`AawUxit^g[VkZ>krgvgv\\g`asaxXgb_gmrftkFfu?`KGjPHqg>e_pg`^[rXlROqyycpacXXy;HwhYmVgpeh\\TpmSFv>GlyVvRW^j_mj@u?f]vhvp_]Cwnx>lqylKp^a^_;plbnkW>hNFrZnnDhpW?odGh;Wx>V_GNpkqla^al@c^Ng[fje>liI^w@y@@lhwr_>a_Qg?wu]FbMh`h?qkWdYwgcY\\YNw[PghxrtPssOrKxZ[AbWwljVcmIZFGq]_sj@nRHqIPdw?hjAiU`eUIbi>]GAdQgif@lIYfL`rgfsd^`dApkyd]xayPnw^[EPoTwqG^bMFk<`qefvdPggXhINrUaqv?aqou^i_MGyDP^_?l;Vd\\?gvx_^nfn?cBAjuY[<iZAArRvffvmeWmbp[Rxfrn`v>[s`q=_w>XdOgk\\^jcGcg_tkvd_ofRA]NW]SgZyvnU>wcNdq>gNQlVflUV`OPmCo^mxsIw\\thiLhn;glnhoFwvLOeU_rMWyanrZvaOgch^tVorr?in?g\\xpXi[PQjHqqH^fRP[RPpfQy>OsD>vCaeC`\\YXwpH^\\AvpwnS?uwirf^ejFaZ^dUpef@p]ndww]_NgIPvBO^y_[^>pO>tio`?Ai_pv_If\\noNf]qajM>h;wtP?hHvevQvohkbXpohprouUYkEpvqQgIvcqHyEq\\nwyZH_ihu`HssOaSph\\oflV\\VgtUvjK>ip>ah>mjWi>W^IQxT^l@NqNf\\N?^RPuPhgL_v_puJ@awpt>HtKIxUpiUWkcajgw\\Nnb:o`k`]HQdRG^>_cJx[BIks_f]vvvxtV@ixYguX\\?Ah[@j\\ffFq^BgvAY`dWlFv`HGy]>oS`bx`jLOhL_[Hxatgyoh_Qqek^paWeupiD`KKgaMbxgU?[VOeBOEFNkr>aCqgR\\CiS_tIuYZ_VI;vJYC[?s;QDSMteivxQuM[wusW<kgDatPOy?EI=iFLshFUS]EWZixmghc_HgAUt=xBSDaof@yrkIiMsvsUCyoHpUgNiCiGCPehOKSxsCNseUgfdetmkXi_SlCewKvaKWHqwnOWN;uYMhi]IOaEvosYifGiXOKUA]TAKycki@KdBUDxyy`iIv;sWyGJWrD;dmUDIKVbovROhKTJ^DXMlrcMj=EK^PSVEvf`RgDsCus:eraAkHXy>qN`pWrxpoHjjhKY]R^hu:ttntVpDXodpITttmrjTPUlOKLrkmjxyVGLKQMMWajgarFxr\\lNQ`TZMOvLo]eq@@lF=vtpKvivGdWJHPulmgQTwaYc\\RGPY]`uSQY?ysIQunAtXXUxuXqQnsixXilU<Q`ittewHXwlyykYrPqjmfcDXnfIrI_eTYeF^g[Pr>__opeS`au@dknss@^\\hc_@qmg\\nwft^ZQf^H`Z:PxPNcvp[G?qiyhvvbNo[WGixNwTXjVNt\\FxvieqNxhq]KNcr?m:YcIoxNQtCVxMn[yPykvqxQqCpfV?ilIooakPgaLQ^Ii]cp]CgcHgZ@qovntk@^Fhvqv^t_cbps;WcQFywWhK@r]Qx=OZX`rP>mqPwsn]ehdt`pg_kCHZbfy:AkTwZZNZY^jO_cj?fd_uCPvMi`=I^x^]vo[p`dKixdPeZOqvQkZyjyQaan]cilXfllGmBYZ_hZA_MoWGiwwiuuqWYIwEIY=kG_eWK?HTeELmGSchrIBpGVOGto?stqfZCF`]u=aCrwEdqwrOUKQvcabcYU:sX[Uv[wTAqR[Ar;?higUdwtcKSpoVN?utor?Qr>gf[uXj?DS]uMyyLKiruHnscAubqPp?=POYw[=QMMoS`VlTo>HRNaLkUKW<WHduvLxbYNoQKf<t@MNQxj<EKBUJR]Q=Ay[<WPyy=`uyqjwykVlqfeXA<m@IudlYQdrkXomevstVDLnGmo:QVwqV`MWumlUQx\\xkGdSMtWehTTIsdEOsLPNMl?@TflNHpwCXqpeu\\iJeHvgtWX=N[umcUQ]YyxYjI<kTTKU]oLelotYnev@yxxXyBPVZxttEP\\IX<hqFHLlIq>QlXlPKuPSMjcqROlR@UOOQwbMRSmOAMuTQs_PjlmmqiwPtmv`xeXYqmXButdYnYxwrtxVYTfQPTTMMtYxIjYxPTDV]HjUUjviSqpoeawfaKNdV]\\wXiOhpqcqSitxLMON]oQXOqAR_tt[]wBDrrpJrIVNUXWPl>HJV]r;llRTLTHV^tQlHk]=jpPWTiRo<x:MOL`obxOlDlqMPF]OcYSo<gyOyMPtIny?Pp>FaxO\\q^gWyq\\Gr[Wo[igQvmJqddejIWR[gdorR[D<?FJUt[CtbYEyyHKut[sCViCCyyFyIG?e\\_WsqbkkVdUIbcfliSmGuniXcaSRkbXwflahdehT_iO?E]esDOghMVVsrHMW^atPkf?mWSOuX_FCgyvCdUEgpWv>SilmBLMUiqXxetO]YoowBQh\\MVQ[y\\yvpITE]bnyro]GgGGwkIQqHXGXZOVZ=eOcT@GU;[Ti]tYWdi;IZawQSu_Yy;CTKOs\\wHcCv>;UhKelayfShnGWlutnAwdmsbIcbyfHuX`Yy_Mx\\id`osTaHecT`SwMQfccel;RDYgBEhsUgpwtnasd;w`qbOcc[MSMGrdEcbgTdMB<YbDOBL]XaKgPIwHuv;YWquunIIyYyZaDZWiDCDQeGlGC?sR?EiZIcXgDWSXxqggixuuCfYi>Iyu=sSAtcsit]wVowi;BUMXeCyrwcvgX[ueDGYsMGiceLSeRmhEeXKUchIYC]SAURZSTRgIg=rWoSeuVtiH?]UIuwayH]uCr;GEsFMGuZssB;bHMEEMxuyXOIsgqH^yfIGe;CtvaxZSspOtkIdMCfgEuVKV`KerCGIwC]wuWax^SD[aRwqcVKxxWY_YitKUMqISwIwIHVEyMOy?uWnwcrKBo_x\\SH?=G?_RaCW\\cWO]YfCHdShnmyn?hNuUj[rTevpAuLoRSMemcYG;TKqFbsCK]BXws^wrZaccGg<UI^WrK?SyOVlOyTGHW?x=GFNoC=kcWSs;QY?AFC]bgEfBwt_GXq=gaOT@etDSbvQsVSfN?eYofSKsogyaKbe_rLKg:eBL?ctPX?=SNtjHXneqQcpnY]SUHlOaxiAtq]OpeNT@ntaVX]oKyo=aJ]hK^pY@tK_LJKdwgMyqUXR@optQkqQaMnDTnFqY]YMVyTY=nthkH]PmunYhySPWnypV]Nk]YIyrx\\uqyViYjT]JspKRLWrip\\iJZPyWxu`upZPmthRBIXH=MehwitlPPscqyEyUWIxPxQcIVRxNVeT\\PYhtWJIT[@MCtxtpmEHutdwfXydhUL`Jx\\P>qTcLS^iKCivWuYb]X]uVkXklyrWtVKhJ;YPJQnwakhPW?Hwkaxu]yxMxfURjmT<LSMyx@Hr^TotHYTHVGhJ;hWtXSkemm=MDlWM\\WW<M:Xmh]jUtoXxxBiWgaY<\\vJTkshkkit\\msstwtuUkimiuJQiuQ@pe<UhtSeMLoxt:xk`dP;]Jl@tN<vN=NPukYXj`aN@uO^=vHpK`=SjtYDyTCLp_\\SQxx?AnpUrDPW<MJcAW\\\\r:pyvmQyTLfXo;HQCLs_ltQXu_qK@iKZQUFXJjayyAXEQsgXQleyxiyrynUYvbpuBXOg`lCel?EjSQYGMxsXxCdN>uMf`ww=LX\\MXdMhqoI\\oRMqvxLO@NmQnmDs^yy\\mxHApYUlMdTOtmk\\ynTYAanQlmiLoRuLKiq_iUGLXv`XqhpWXXIhWSmT@PVkhQA\\Y;\\ju\\Lk\\LLayk\\WyYrMtkiTWcyywANgTlFmyRLnkTopau^Ht^=tSIjhLYuuycUYPlQrAPgQwlpLqYVQijd=KQiUqUsy]yEaquqPiUYdIpbawQeMyqmI`JFHpLUoadKctJrxw;iovlXQlOVxPqhMfDWQXrntouLvkxnWLkalpH@U>Qo@elOXOtQwGQqaIY^lSFTR=Dp_Xu:hNXpTS`uFuS\\dlq\\otpx\\]RbTv>TOl`LlTV\\EUt@jLqNtQsoYYCpyCpPtqJoXt>HULys_aTOqW<Mq:hOKUQQYOOmnp=lJTStLrlYUfUOj\\MhmVKQoS`PvUU_`lfaugLWopR_luetN]xU]xRXTqVumSpUmYoWuQuIyidWkpoohnjIyIaOCyL<DYxDkblYmUWw=QTDOPDuxIj?Pqjdlqhp]xOyEyLyqvAPd`PV@T\\yWGDOwtLTXLJaW>HKD@KpeTyUOwEYPDjoXoExPgMondJ_<krqqe=lK`qZIymItCyNhHoAeUlqLwXwilLvisYikYyYIdSMtnjlLfDRlqX]<XlIq^pMQYNvQqmxcXyx\\qu_Yg_X^[y\\lH`hh]NAbu`i[Pc_w`gIngV`^ppfoi^ytqfpVYyevrpi\\pqko_`mvayakQoqSndf`poA\\_acGX]AFlR?pyntoaq:Vr_pZZXcNn_KnxNym@UFWc]=Hw_RaqBBWsgKXYCiy_rkIL?PrF]NXam>AnsqR]HNqUPUiSEUpaYSLdqdAScPWIeStyLOxli`jYtrp<nhQVA\\PemP]qpLQVd]WsXPw]unHSXPYVYVtLTxyovQkYiKw<YEQrAdTV@X^qsE=sCxm[twDHNXXJxpxldptTjcdspDo`xVt\\svTkhhVlQVQtufLRSUtTaTR]XdYTMdoKDwueqXilbxqLtV@TnppkcetkPWTpL\\Hp><w]]ykAKLhkj\\S:`MIptopXYdxcmpcpQnXLtlNNIqRMJHLjwioEMutxqclynmKSXPApXEYPVASxTpcuuWumcYytPmkpk:PuJiuuuw\\irrAWuxuPeyx<oputOpTBEu<HNEMUBavymWJ@k>UNRixkLJduSB=UumxUYxoPUwiugDqjLJUilppRriSvuy`DpiutvpxvaqwTnIhUyeXrqqIuJ;Dx<AU_<ufEqIxqoiWGmJAlOv@nqiuiypTQsbyXUDQ[<tLxOOYwJypN]lUEtOxubEy[yS@eMN=y`ytsYSIEm=URJlux\\nB]Ku`nsun\\hTTaNQqMMxW;HyLtn]apZXlMAphAl<pktHunLVB_kc__r@pfWkjf]jX^Da]T?qbPhA?l[G]q@_C?qbV_QArK_^H^dMfwr>qd>`ihkOfN_rRUIR[rGODjADVYYicCLkItKCAgWBiDEGY`UgoIbY_U@qGuqsWgHyAy:SfHqhYcybybAgdaQDEYsW;uYyyUWePYDv_t?qsasIM[rd_yqOWaAT=gHg[VAYDvUywQX`mvNeCbKbMuShsY^[EcwR]EBHWsx;ITkDH]RjsfuAr]YihadyxslaodLjPaNBIrApQEylVUYyqmglSVTtHPpTEoJ\\o\\ILuaxmUxAqmptrOapcYmxUrq]wLpYGULKdpTtoBhVBXOoIJGtJ;`vCLxbToXo_eIoggr?VgJhy\\YorWfBg[PNmdyb_XoCpejf]i_`EhbYpvZH_LPnVvlLy\\Via:fpt_xSy`NpZanvt>]VQbgHVkHpwxNyhVCXTYscIxAYI_qHO;c[AtXKRIeBgyXneUCcs:Wy;Qxn_eScxUqF]ewMeRuovG_uhCbrmIYwHc=H`KbH_TKciJ?HWaw]_ESeEOwdi]CfweScVAysYMHrMd^KTk]fQSrS_i`EI=iGFMe[AYxqeUmet=x;ibemtT[VGEiVqyfwsqAHR=hC]IJoR]AEW[bCkCFIsdUTmCs^yy:EU_gGpaSgyeteFTefB]ukwV^uwgetuwbAubY?CpQsseIimWuaeZwVs[vhIt[=Coch=mCsKBsOr?kuKcy;QrcoV\\qIrurgku:[wYgTrmiKuBQYwcAwdqrgmHp?eZ=IEeUIavyERNer>oWj;bOgr[mC;qc?cvP_U>aDdid=UH^GVo]sywxxgGOEXNDlVDxh<qZhu\\<m;tlixpWqpyYkYHj[QwBtVOgy\\Il]qchaeqppuYcYOqpItAwhnghVpqy_gnYfYFmuatpiaUp`XnaTv[P^opxowyi?ije`bqwlD?]ov\\ZPaGncTHa?IehvbuObS@vK_]ONx_HoR^m;OZd>]aGaD`fcor\\^dLVoHhxVgbGi\\sPdFQ\\]i]U@ZW?orppMwuuNnkyeWOie`pshkr?v<XxIQapad?yom>qA_qaiqY@]YYxl`jmx_xgfsIyay_LNa]hpix[GXdcykmqZAYiqw[QXscVcd`xaOvbHwt_mDNoRFx?^t]pjvysoh]C``dGd_qsuwr]a^j_gapa[@ouOksAnLnt\\o^^X`Zv_@oudqxp_x?y_wi^AocLFr[WcJxw]P_^n`RYktiqEpuvQwPW]SOqO>lvxyRwnsFssxefN_rxiui]Uq_xwlOfcFFysitlqok@mdgv[^nyWjVvmPybfVquvwo`wVFibQtIosyahkHhTIgmQpKng>Onpg]DafDX^YqpZP`k>hoyshYyWqnOYjMf__V[\\AZ\\YZGo_tXip^hypwoAhRIf;GqgIg:_\\LnyA_qXx\\H>hyO]dwmDWbQ@]WaZHicl^coPeg^\\DFbJ^c_PrU``RF[Jiv>q`A`cWVoty\\bakTfuq`kCYdCYf_yboQiwvlEiaivaMVuBPotpZwpoA`obhoe`nx?qeWpdV]XQjYFuHfyeXl\\TR;YFMw\\KUAeSjcES[fHQSNoDeetdSgUcdU]r^OTEywvIEFwYZGydGyxaUFiXAihS_hJkrCEtfOfcAXKCURgIM_Sn]b@yrMUT^MH;WXLwh=EXf;WyyY`QDWOSNiT^ADlPTvdo=xpEhWoDTyaNyPxQhOu@nnAPnQmlTLreyxYlaaJWum^uvydLiuXIxUq<J:<L:^b;_dJ@fa_okFp_?gEnrriosd=IxDQHgel;pnPHQllU`AYjiSvIjumjXLMfpjetviDYWuxSiNb<L`Uk`tplYte=W`EoFHWfQl_tr_MxyTRJdP^DXCdX_Hynem:HPD\\nDeXTep?`OhPUgQNXxjoTWREMWyx:YnImqliQ^asq]OLYOt@W]itvQke\\qAmpEpuHXvAUMj<PTeyTylExNW@rYTuwmNi<t[@uLlyVywYmwgaM:ql_qLmujoTMIxy\\IjapswXtudvNhx?qLQMu;eLJalhUR\\Pwx<YB`OIYLLaVUqL_mm]yJ[PMdAu?hUdMu?eYn\\p>LpSTjdMNTMSBIRLTuAYJGay`iO\\hTB]m:pLhpRwdQX<wR\\y_xLmDKNhyL\\pP@v=umQUP?Ij<dK[yVy`QL@NVEoiMUs`rwLv^<xfDwZTrXInv=vWDLZTWruQ_QXLUuO]VmYnYmUvUyhp\\xGa]`aDFdM?adQdOwmGwn[aphwk@QnhIqWHfm`mmADeit]TuCyFgg=Ub]CYUGDlWHT?IVyGQWC?UukOEYeifssRaeDeegoU?WBI;WNCVAiuj]dUSW\\yRQ=gOMBIGILseB]fXQv[_e]OdyYBQuT\\GV_yTSQUyawvwdyev]yhE?yVaYhmWRcCd_F]SGAEU?QrhOswuCqgsWWtxwXyIbCKCEKSAwC?]yYky`UsHgGmmIrqyQsTTgU<kBaafsMcmcixkFRmITCTV[eUwH=iGyGwxqwyYIMgT:MwyAdiEWPuvpigTSI]icWxoAXvIMlaAMaDO=Pll]OstM_dXZyYNIWq=sAqoHlKnXMiPu:=x;Hj;hSUpPg]urHpPUoC]ywxWYqQCppQmoVEyhxXwXomXpMMjrUL_uPZxu^\\sbxrmDUFQQplPpUygypyuwuuum<kYPTt`VCQLs]WYuUYYx?Puo\\R:IKIMtFhQQYwV]pR\\mh=S@hWF=XJILAItF<rGHRmmqxqUSTLOuYdeNFQrJAoHtkGtXpipamlbTlFmyQUNFtqqUw=itgTYpiwwiVAqNZHKNhr^UXMEx>qxgXo`qobyXtQYtYqd<L@EqrEx\\pWI\\mO@Ys\\snYokPvfUlhMrLTWxmYh=P;\\qAdXNPt@eOZEyhpww`lCmNy]Wu]ngeN<Ak_\\S<]L<]OdLRE@L>LLoXxt]L@loY=O\\xsymxw<o`lpheQtXXoLWeeT]UqPakyLykxJ@PO]IR[avKPYFhTqpsZqsuypvlxrUW\\Luw]VoDQ==sWIQj\\Uh\\XNMMnHm^DPIpQxqm]pSydmrqm\\@Sm@rplObtLcLLJyT\\xTh@OBYwdpPTdjZ<PCLnyTyCYJyhqsqpWURwhr\\mquEvjyjx<Y[UUKDqxxxGyYTIyItUwPnFut^iYiYRYPWVxyTYPfuU<turyvqlwcPpd@vopqppoydyeHYstu_QNGaOK@jS@ixx[@Q[QY]j@piXgvwoG?ZYghOi[Ex\\Y?h<YoNObeo_:hpeodvWyAfhF`uXHa_Il=N^bwbphZi`AygSUxHseeWcfcDJ]Gict[EIqsyqseuKSXUh][TtATh?EpSwOuIQQFKhTeDkliyCuYTlKjdTv]RKxXHmvfPSfxo:aKQAPKEY]QuWtVK<l:DmRXUNTrRAaxhiYhlqGovxhvHp^xqyxpEniqcJmTa;uiQwfsYuYEEsWrIEyybimI[OciCBgUYluuXgiO;blmHBiXZudTQDiCIheYiqe^yuiSYrqsUmc_gDfeh:sEQws^ExlYffyHW]UrcvfaHlUFZAvRwfZQI=WB]Kr?yEasT`ib:[u[AvjUiVSwL[YiuuxgyUwuvqvOuTWeFYAbHUUq[HlsTYeYoAsBAsKuRWcX[ibQKyxwe^CcdYE`UgPeBmSh[yHimuviuiqYqQpYmqeullytG=rX\\XvqyNYTIeQ`Am]MuTQuXxlYYSNXMrDU]AvrAtktJjmM>eMCHKbmKLYUiijMpsf]vEmO`Lo]PMapKPmrUpsfpvPyJiXpHpWYxtqeRnhJ<qndhX==qPItb=kTMmGtowXRMEOQPLpPncAQ\\mlRqmCmN@]KE]SCasETPGax<iQOIqc\\Ue`LEaW`Ytx\\P=Pmv<n`uj<\\rxes;puUxnOPtR\\La\\xNTTmYWOArvtmReuWxj[]tp`mIyPMElA=ToIm==kn\\yfljBQvPxjeQoliJD\\uHMnraJeiVDXLLUXkXyFTtRuSZ]J`PlIIt;yYNpUfmPEXPsYV>PlNeNb<V[AMlLP=eqK`rRMUOQnXdXNtt=PnjXUvYN`QmHIm\\\\M=upXaQTeKUYkXupVXJLdpaDsX]wQdWbyoMAM]ML[DKOpK:xw]ETb`PkMLyDWAdmQdqhmsSuLZuOIDKa`mOhNLmqwqLhIYddUamUiLweYW_HlDyXsHx@hyYuytuV[tKgUK<ykx=uiqwbuS>dUupoaIrAPjY`Wfy\\o>iZqyqoq=_Z?grv@uOowE>tc?vXndaA]AYa<``_iuSguyvy;ie[_bI^jKom:hm>A\\J^]Z`aaYj=apXNtYQ`yGqgwZ`OtixaTuuwe^kD[_sDOrTwcN;uoQidsRW?IresOigL[UREssSxuET<Qe>Odxoi@Qrx[S:EHyGUcQDRUc>eG?_i<;YLUVroI@KwrwyySYiIBauTOewITynYuaxxNHS[MJcIKC<lXLWB<LTHNDYLX<N?EJKPxNTu=yqYtmDPxf<kryLOdxwaLBdNBtk:Lt_\\p:=L<\\na\\nFMu^MyWHqoatYQuuemuuv<tOvqmr\\JL`mi@YmuvnYYHquuaYQQueeYQPl:tTG`RedWCpN`QxSTPgTQOLkhyL^lVXUMQqkFyl=TT_lWi@SH<YDTp^DU]Iqspo^QurqMayTBaLAATZMxNDwAyys`vlxoxTvsltVXLFXsy@PLMxZpYBqvweoC]uxPnhXVfIT]Pv[DwSyLXQUwqSeeTrlY]iSmlLf<Oy\\uTUp;exb`rRAmKTJp=UFpltuSy\\pqXr]yk@mtvhJetwUhShaXaxXoxPfpYRAwFinQlPIImUyUKmmoMpOpKBQONHKcdnVPW[AKYpTfTO\\eRm\\QkQnq=lhXxJ\\xrXltUvipYoYoUuWwhLQ`R\\DlnMQG`oWxpwaYXml_YQ>lRGPMoTYpaw\\PlFEXq]yVYqquOlpxYtyryrJovH_yXvsoYkY_y\\y`yHyGinQpetWugwpwO^yx`Uxs@`xJn`h`cXa[[HgF`puvuCYciFo[>plXqqhqu_^pna?opvF\\@WspY]SQw:Xdgpdlgpd`hDNnO@n>ObLHfInddab:@Z;nxIn]>qvSopUhpgWacPmBOre@nl`_Xo_@^fEp^sxrNg`p@gGWheyfkIiUWkeWuCQ]M`h^vulhvtH^IOvd@]lFojXxhakNHkeXgun_g^supdB^h?W\\t@pH?lCP]ZYv<HmEIgtHrcp[x@^WwsM@iLGmdPlHVmRxxogaOodmodX_tRFvgg`LFdmHuVpsnNdPvvd`_Lpw_YhTP]mhe?Xc\\FqP>sBQcGo^AiaAaloQsj?an@vNPhAIjfHmEFgvPqJwdqovtYwYVuTQuPwdcgekgrsxtYWaNGd[fl@pmX`vUVgsVuDaqlQv\\YhxVdPolm^d]poXhtNadK@wcOpifc[xwRi[MIghfxLntsP\\UXrwnivx`cO_FAm;VqpIwuGxG@wtPp\\FoDvutvlmqcVHeOiuUg^OociHop>s\\ngd?fq`uvGlTH\\hpdcOp>YgMFq\\pmc^tOUocTO;ym]VMWiwgT;mHNERt_EhKY=awVsHgiV=cwVSTLaTKKeeOfKMfBMh^CWc_VdKeBOeHGgCCHo]wXQcbsfOws^ixjowLWh:eYIadtOgd;yM[TOMrKSROiYYEHYgYjeelQHsagmwbycxDeYUUYqiFQctHqe_CvM?ItAwcIHW=Y_iRngYMADpywqceqYwYgXPwdAqGv?HN[toEG?YUI_Ifcy`qv>EUwATp;VnocWOIUeI`mBFyIXSeesgCGGAOSoYc>OIJ?e^Cr`cB`gwGKMSXjX@q]Dp@qvXyuYyMIxrCUnwTlCaOR=pZilQmUC]NLDs^MTK]lQpUtEk>UVJpkyqxqxq_`YMIYmqvw<yZYjammsmNgiRttkrHUiuWiIyaymyPV?Qk\\IOxQyQyqPeTOEv[pstTwf\\QKlWpYqYiyhyQxYvy<xrYJvMQUht?xX[YvHYUG@STTLHhkRlq^hOOLND\\mnETAYlIlTUeuRIx@QoT\\vk=OneT`DYrlNltl\\YuRTLdxsD@P=dUxEu]Mpo@ufQQRyoLPUiuk@DPPdW[MNMdrMdvTaQhxK_TK]YTNXTf<yWISSaTNAumAuA\\lAUJ><QFALOdQ<ym;TTBekT]t<@XrYOOmxueKrmkYUxBaxlPkf`QfaQn`uuevxtwOlqhXWrLTAhOouQtlOv]ysXMtLuLhUAuReySxLWhQRoAOhYm>`JGXtlPRLuqvAmvTlO]XBMw[HNHEvOuS\\qqClvR<YoLOltNCuxOEnB=kS=ygaYK@UKinoPRQpKJ<vY@p;ePGAvfMlmUSCarplODPWL`OS<O\\puIHNmeyP@kbhKcDQHpNePlPxUr@OllYLel_EryeyKiYZIvW<NmIQ_TmQUjq]rfLq^TR_tQPTwqewx@lXAmcYXy@xihoOHlRQkqTRFxqjEnflMpQtaet_\\wnMYe\\VTdWCIsSqnh]jlEyFxNIDKmdU?HqQ\\mYIptikTUNHYTE]pBUYldqHTq[EYMUmcIVaerqUnQylDmbopxfqyugg__ekqjE_ygylQa^_GxQhuMw_CwvlhpK@pHQhZxbsgfSAeFiysymCP`GQ_pg]L>nNPv\\Vm?i_c^uZ@kHxbDg`L@`N^_Khd\\y_IAkhX_vqjXPo@PnrWn^onTQnTO^OO^HplAhb_YeLatQabXH_qaocIdkVi@fx=^ZKyw?iu\\Qi<ObPo_FYytnaIn_ewuEYZqivBnuqxmYqkuqtEauTxr;grFhb:O\\v?ZvwqxVmwvZ`_sdHv]Om^^xlI^k?sT^m`HeFGhfn_KAm@pnHotJv`IipsWdFOxuP[YWyTWxExxAIhFghuFbSNtQhgWqulvwBHKSv`WesYbOuB@OTA=h]kU^qd;=sPcVKKh`eRLiw@UxCIhASgX_x[?dVOcVEESUIBccp]ioyuvqvqCdoWvYgYweYysysysaoSWOI]mrF[Y:CiVmw`WehMIgahMqEy]ykYuhUiGCiuyCx=x=[yV]hbEDcssZSWiuWiurO]rTyipihigemmss;SAyFGMe>_UYsEjQx_YsYSYfIhYcyb@XEywwuwuutXUYgUR=Uj_EUrhk[=MFhMBDv@lNLDtselDLPoHxWhMGPqRaqNlMi\\lEaVZywiHqAeKOdYPMVxeSWyykqokUYj`ON@ryaUixn=Ywfuu]DncLnA]XXYuw@n\\EY:@JYdMNYQmDQXpM]TS\\\\xPdwc]YO=MDuXIux=HnOtYUiyh\\tlyXotxAaj]XuuQUUMv]pSvLvREK^PP`dT:EUjuK=\\Mt=T^etnhS=Ejr]PxLX>TXw<WhmJEqpB]TWel_mNCqnG`uWqxWhRpXrrMUQxNE`OnpqFmtkeXMIpFTRgyS;mspMthmSMhlB@Nqpj\\HUS<Wb=ouLnTAuSIw_esN]TI=mPxRk`p=QmA`OtdYnhV<PUPtvk`N\\@lryLhLSFimumkKxvMXJA]k\\Mm@DQIYRpmTYuotmUSmQAyU@Hl\\aov`MRHqApKDHtPdR[IRHMvWmw_tVZtvGurJAQwl`tQsYydxP`dgrwff[Q]jQimGm^Xv_Vvdgr>X\\HojSWhyFpx_hjxuwOnNA^lGcEYsEyuwwxWYuiwqWpdWOicinQhepGer^]``wLAl:IoapmtVgPaoGX]qnasavMXoQwoXopfGucynYpkIh_Yxs]vyXIp]wZlHit?oAy]y_ykvrVVb;Y`>OsaasSX`d_tbXyhYqiwvHimqputWw?v\\V?tNat>okpOcfgj=>nNFwCAaHI_d@\\dhh?X\\hpqdi_OAaSvZtFsMxxwp[yixe?en_ibN]GIZXI]?`ahQlq>D=wOkTu]tZYddYivkg_WyGuVcYRsiSJCsX?WFCU@suL=eLKRegumaFAuG^SrZAFq;fDEvqsXjiyyEB<[Ep?d?Whecs@[yhIXl?YWCPDewOeNgXrEEkg]MUuX\\mUrUUhUy=mrT<M`PyHPPmdJp`w^Und]q`QJs]PsMr^lw;TvH\\Y=yOI]mMtrqlJ@`WC]REMq\\EkJUk\\QN_=TTMJO\\Y_@SCpK[LnUirLDk^`x<Tsv<rZ<qGaRW=PdPMfIw=tmjIjQeR[pP^=k[DVDMN=MTF`mBYxFtnLuYepoVdlqXPPxVR<yTIpqQNsmlNQOXdqhIPGAol]MXymLEqGDV?AtRItt`O]UnpTyMExJQmxqkhtPvxrmljaANiPjTLKUUpaUocXWWyTPmohUWUiQ^=SWEY^`U?lUPaVhaUgAuMdV?MjvXPFulgdMRHW`UMdYNGdxF@MVdVpEMLmmkAJYpWXUlb\\lZQPKplbLuBQXv<MYyk`dkCxpd@UFAwaiV[=VK@QXXSqUn>IMeyuGDTLmR`QyP\\SFQlsPnMQtFeMoATAyME=sElSDyST@UHQSPXTBXSH]X_MMOLOExXUPKqTLiEXwlMmuSShOt@oKTO;=WZAQnlKRMvThrV`qfylAXKWLbgGlfx\\EWhLiwlhd`W_lHlQflyphqXrHhwjYriqkXyppPd_?fo_vOfsBxdwF`fAuCvrXVeygvyHvmWwOP[gHjyOxUwcgYrPfjCa\\yhvUo]ixoMhnf?l:@qEpdaNlMGlTxr\\_yhiqtQwe`fsfmkorSvuuqU[VgAr_?Um]r?IGdkRK]deogtOwcyfYorw?xMseYgWUAiEkYhMunGCY[V^KD;mrysYxaY\\Kv>YymCeFOgdgCGcCr]vY]y\\yDrOWgQuoWvAycaSv;sH]aSqAr>cbC]S_WDSQVxkikGWrId]AvWgSvWgcGxHiIUOGrmru_glIcDiy@aTK=GfGwSWuUyXx[rXubvmC\\Cfw?dHuvmCC]ksMuUbMiMODpiuZMSw;R:wY>[IaYI^KbMEYL?YqguModsWeiOd_[CncxkWi_UhJSDi[clOgKQUseShodI;xZUgx]Y;wBYowLAv;KBv]B^OyfAWVEDdAWv_sumFQOc@MraqY`muhiGfeypeumaSMYHVus[]S\\Mc\\IeByU_SsDYFskgesta_sTgfeQg_uVF;C[YGcohpKYEiGMYR@[V_;EkKbc_e`Yus_gOcc?qDWGgXGX@aHUie`AIXoWj_SdsED?XWiD?_bPaRrKheAxlgGcQdqSEICDoaYQYegIIlkU=?gLGsmgsw;CXEbAODrMI@?sA_d>;fJoECaFCOwMihi]uJmi\\er@yhYqgeUUUmEd_BaWEcMYYmHYeYnIsa_UyiEJgDUIXOwShmB`Afakw?IIHKCpuWeUW=mUH_DvmsVGIogho_FroEIwrc?fLKhpMyV=hZERMUTMqsWWIMGs^KXqIumwVeQixoWWQiOWGQME@GbueHqsH]ug`sHvceB_W:[rBGD];gDOweugwoHsMx^YFI_IlArPYV\\Yxhqgj?sseiC[YqwEmcREeX;QeACXjEgHCWZefZSd_YFJoE[=FUQfLMiieIE?Eu?djascIUxAx]KePCdN=cfQbr_bUqgoqXf]hpwcJybQExJaGi[swAGhCGDAY??ChCX?KFDWGR;s<[BBYXpeEk[i;st\\sGn?Cp]DcCRtiTqiun[ViaXYEiiShH;f=[GmUU_Do_IleypglWiIw>@PN]rLtUfHUJmNQhT?UMJxrbDWM\\PlMtsEQjdOjYWrXo<yu`TU_tvOESupNi\\ypMpj]mCdZ<idAGpiQpfydov\\wqd[V\\<xgc^ijQhJgk[>ryf[A_bZw\\vnlnI_`Ao?_lpV^iGpu>tLQnVog=QZqNvTolg@eKVnvapm`nsy^IHqhY_PWgQYqsatK^qp?ll^jEGbjwcbPocNlcAa[Ppwvnin]tGy_Ivb_j_^`GapVOxKxswFcLN]DgudVtR^bkHkEqbPipggafAahXfB_hp?[AghQqxVWso^pFhvTPofxvgamaWxb_pj`_t?\\swrOVkkIgmgtkhg=YgR>y?Ok_^iROnINksno<y__vkofm_N[?ogIGhgQfB?h^Ql\\g[xToMcqScNQew;fvYDkqWoabLahq;XPkrDev>IW<eSPSscisXSGXiWYYuEevb_YK;I[[dAQSiOGL]Eb?YP]WkyhBiFI=t_wgT[Etos=KgIYbY_vleh?EYukUBWhyWdioYtiBiyGqYYeoERSbPUeXEbUwgkQvDSHpmUrIiMoGtQbMaraiRG=dLmCNGymwE=Ci=]x^GSZ]GeKu=mSpUd@WFqQY=wvjuI^;iQCeG]HqIdB]FbIEZsshkS<?tQKC_EFIcYhsdEaVl;yWCgsiVQgMUhs\\ymIeQoatYpynyn\\Ew_\\QHLpp]y<xkMpx?DvTyn?@qwiWqhupawmxsLXQyAR<ipWxxRhUDPncaqALYH<YsqUAIspxWSQJSEPqpwstMhMpk<V_ivO<nd]UvllQtXpUQtPQfuYN<nJDmZMRw<R:xk<psxqwQTyxqyqhuetweyU=dugaUZhmCUulhoT<WmxjYTXTanMlsdEQcEV=ayTdpTUJo@lsMoN@dHhy[fyq>b:XjJnoeav?GpKFc\\_\\]QuUYwwwxuysfHeqX^Sylh^g_IhsXghNu\\Fm\\irUYpawxgypxphAygPqx`fa[_pD_qv>payq]@ov@^xPnWvldOpjvuehrQN^Yw\\XQh?Hg\\V\\Ni\\i_`CfkWO_xn_Ra\\IFscFceQ_r@fs`ttXwH^eNXgUGrM^a>Pm\\x]gVfS_ykPl`>arnddgxUViY^qqWwTxpJQ]N_nRvsl?POstGf]mWryyHMUlIIBOyKur`WrEuVvMTr[RvkwZ[XWMcHEXv=BryFlQXd?dDMChah_kgdYweYr_SR@_CcawfavMgVcaHgEcU[FM_IMOYDTTTMUT=xkMN_uOXtMs]QwuWhmWXTQp]w@hKU<SqMlL]MBAW]LtyIp<dSbUlAIpjUkHeNOuxJPtWUUKAr^mr?`UmQp>DogUudmRGpRd<NmlNEtOuxR[pwxpQFDy?DyiEkcMqHXQrLMIpr\\qKwlphTtt\\rUDTh\\wrAPqapu\\uH`ORhuFyppaq;Tow<XUiJr\\m[@LCqLVEjvlUdtx;aWnQqqDwUqqXpYV<Uy\\RuaY_=K:xyhqUudtjqQidSQlM>lmLukW`sDaVf@o;AsQmVtIXMhvPtVLlkjeJLeR?TTGuLuAn[Ix]LO\\XNTPlQ]xRIuVutHtlMxVHIOtyxVPlrLUTDJ^ANJtN:yQyqQtyMPHu=dM=pVo]YIIpBpjqUrTprY=NPXvktONIuciQk`sw=xhIvL`MM@nFxjnXVA@XM]UZLT`qMkutcYKcIXcDXfhmiyyytqWiUYtXilyV`LH@ktqSvHN]YMJqTrxtVHjbYVp<osUsGDwhttBeX^EU\\mlDEQ_HQMqpnEO^PotxvDQPEDQltkGHTVDPQdojAOSDl;TolIoe\\q:EoYto>EvwijKpldXOS`T\\@UvAMlqUUTJq@raAXP@UZ]LYakh\\KbiSQluXPPNLNHYKmdLXEka`kHplW<QbXT\\IypYPD<syXO@aL`LKeHykax_tn[@sumTd\\KaloDpngAOQ<UFyjrqosuqPMqRqm`MOZtNHaVVLofhMClUKMT@@mUqmwTYTlYqYSginaXOUuTQYnsyLdtjVusUEW]]vKUxEqqoYJRTt\\uNraY?uYDak?eplDuFaVLALPdwAqMZlYHxwLdLO`P>Eq_lvReTs`Wu@l=DMftluIRIUqbpOLlQ@LVgAs<YsDQsjinrxWYqQDTV<mnHXoDey\\IpR]Kc<yUxWxHmB]NlDmFuXquPLxWvMk@HvqHtEyOy`yNYTIeNG>yang:NfTfZ>?nvaoSWph?q[qjLAuU>_Nqew>`yF]AnaYGqS_kW?neYv`nc\\IA_wIGDcoi^;c:IFiYRvivnSg@Yhc=XJcsOKcwEiwIgxSi^sBOoFbKbZUu:CBxIFRmeWGkjuOu`yXtpFuWtxOCYXOEy:HTvujbHvjARAel;El?xOAhJPEX:XRG\\TSatk`OOutgUMxYxatKvUyPptDTnVml\\LqTTPRtLW=tOURQMRnQtCtj\\IuVul]mVEYO\\eycqkYxupHyOilU]ruYojQl\\Yldask=QYdXr`JGTPn]p;HyEHtk]j;PO;@XNXPGEtRtKUDVrqTqmJDaw:XWOtOG=KpPU^tpGxr_]x`YpsENQTuELpsxK[\\L=UuE`thxoixw_xlXMuu`wqiWutPbMU>xQyUkE@WAYLoEtmxl>PUT=RP=YVMj=<sTIRNxOBtj]tmbxqB]T`LtoeMSMUcxut=pZUupduTPngXPB`MQpkFEnl<Y\\\\NYiqwhqb=SWiYqiuYeiipdN_dJOgcnY?gySbiasukwrWBsiIhES@qDsSsEHVb<u@LKoAmjAN?yU;xR]PYe`X@]vwirYQNEyM_Mv^@MSXj`aJX]VkqUOtoPpoy@Y;DM`MvZMLKlTrhnmASPdQiAj\\pxcdthXwNHRu<Ps=Y>YREETkLLrlLsLr=tNETmUIlVPv]tX]]q_MSfDL<@ymLyIymYEy<QSpPYpAqcymW`pjPlOxlaMorTpQIXUdQaTuHXw>]OW=mhaydUp\\Lpp\\RqDSElJ;@JYpUrLRgIrmYXm<YQel>]odtOwlxXITjtNv]T<yr@LkeMKi\\LyasEtyPPwlQs@lPjujVhrvDmk@lAYY;mT[qYytR^AlfuXQip=utQeua<ljxQ]tUrdOPAKcUJtUTvlNoTVW]qgajKeSGyuVDx_IJLTvA=tlYP@Hk^XKQIjytLexlrLx>LRJMxX@OchjfhL<EXYyqP]wgTruykM<M>DJ@Dm:]qQYpnIjp=SjYn[iUhqSMEpClnlpU_ekUtJQasoEOL]OiuvitqHmQaao@IyAyq@AqhYyN`TxdXVaqFUUUuxdyPO`XQeUG=oLuXw`kLlsCANemmbYrDtoX@vPMxcYN`QsdTOOuTatRP`wuylA\\ph]X]iQy<RFYXCerEetndnrepxqNlESyIxupkkqqx<UvumyxW;qYa@vSqYhAmV=weywYMJiYqdPrK\\xwaXbEWZYpnLkwiQQ]NOdoQPr_alXQmIUnihuoiqDXJt@Uxau?yJYhjRmuEAyyhvNEybdlaIT;ASe`SixQ<aWxan?YY[uerXfvYwQi_vgxkefYSlMtp]HaUYi]HGgenSVH=WCyVZgvBaidGcaOFHWRxATfmRVAe]ahSMTRCxn[yN_WC=TrCHqGwkAdG_hSyEcgE<SupgC`ui=YHkCB\\Cg>QuAceUUT@qGB?X\\Kc_KEfctm]iHMGb_R<]wmsVHaeysYxYXIiIQQuTQygwWwUwTYWigWcEW;MsEWuZgVLoSaGXUgheutxOxDYG>QucyFAUfKMTOGGv?TSkYAySnSBboVdEgwmbIIGWoSIktGIvIMU^wRnyxqyynyfycY^IdA=sCiSQ[eEiv\\CdBibQkUrMucufOOEysEVcBNesbawTqT`WxJuxOuGxsY<agsoVdcg?YVuiu=OsjWcFihtpvnXVQ\\kqqkFTPw\\rFlwkuO`EtBQVUDS<@NTqP:IvgInkyUQ\\sIUJOTV;XsRdjZ@RQuW`eplppixqyepxxJtYYtTmtXo^PKBdP;Hm]ywJ@X\\mxrXV@PptAvHmJr\\oGDW[Al\\xpIEUSTyQYKIYk`huutyNqteQpsuRpdsTHsTLMRIuaxMQqtXYVaMnD`Lwaws]SKmRXiyeuwcxTUEl\\dYpaq]lVIQK^<k=\\yiEN`qUvtrl`VOevfhQYxv\\em[lS_Pxs]VWAlHan]uswdqcioqTOXmYvloklU[tR<TsCiT>qjFYQ]aWoajMHn_]LYPpSyYJ\\pYdlZ\\LCyqmimiaWXaqSTUrLxtPxlQXJDwNHnJ=WUqpg]LqIvtXjM]QOEx=Mx?XRqtmIYNG]MfXRuqLL@p;<LN=oBtqv]PIaxA@nNujkMx^IsQaUmeseyoypkqAwhXqhQqiqquqLh\\UrYsYmylDlB]wWYqqUwPioy\\y[yKYtYvIXtikOeTOemWhmriMC]Y_eV_dvb<R;YvHURFDY>IxN\\XQ@ssiQBpTGlm_@YjiOUmpf=ujHJyXvGPrAtSHlYVmQqmwVMqc]mGYs\\MKIhlRHuDPvspWbQqiEqq]uDdUU@roduOyW=xnDMkV=oN@UbhXdlyl=T@pWB=J:<L:`N\\@NdXLYiRrhTR=SQQvIMo^ElgpmspuUiXTXyAIxJlq]NwlolRfrd?l>YoZqvg`m@fp?WkPq\\AAxHfv^Xx:vjB^fKVrDG\\Vp[]xckF\\hp[>^jPnqCveuF]iQ^WikSQu:xuCq\\;__H@tFopVnm]qnmnndIcpxh]wv`Iq_yi>npA^xHFvyQvDw[Equx_vVHkEppDyugqknq]Oxg\\iZTA^JpcI>hRyxAGmepqB?d@xgZGckOweIuOvuNx^W@r<gfJ@cRhk=ItDifyIxM`bBWoq_j`GhHIs>gtjAm]`qEOeeVn[PmPp\\Swtg`kSHksQcvg^XGfq@dR?a:I^HgrwIhNixmw^bG_cG]sfbXXbOhuMngPxlhfrOolSx`F>`<Qfyv_XyuSVdN>uLI\\uiwiXyYny_A_CHctvhCawBvkkVxSieA_[UxiCivdIoa>hxQodQldXwxOjZfcI?km@kMVxtIi?nfB`mmGwLinWf]W>aTY\\mWrO?sSAk=oflFm;_qEN[WN]sGvwyxYyyBY^I@dTwfcXysymhAoV>sFxjHf]tWsgvpNhlOHbC_]BAnRnZ<QjayxH`usYkPf_thxPYeyhygygiIumxZg`muxwxXaOPvcf]rYqTWeUGtXNrWo^H_mrpfGQmhpohFrug\\lvdByfIgjjWcO`fDxfk`ZjIoZhjm>eI>ZIAcKw`?WtGPpcGnJ`wvqqUHgy?dTheFA[:arcFunw]RIilprjq\\eFlj>F]cwquaut\\IIoMd>QHXmXamViYrLYCggugAfheYAGSuecwevk_b?oFFKeUMg\\Wgt[Bsax;kCa=dAirKsGHcS@sS`ebswxHosp=bg]IXmb\\]CWuCcCsXqcp_F^OW:egLYG<]Ri[UjaGLMXE;DZAx?kiM]HWwSoQIvsBGMR\\;H]mR=gSs=eJwssGuJoT@mC`[hqWfL=Eg_vTOEcof`kSNeuleSGWH[?VD;I:yy`ghSAfd?sl_WK?wZUx;_UjcY?EWUehdoWOYEiuivayK[vBcvgKtGiVMeGYWy<Aw]uF;IDgKfoGUf[rUKwxQTsIseQS[]sribbcFgsGtMvE_SLWcVOY=WvvGEBoibawfayEyUxQbNGDSIF?ghFkGTSEUsWxGy`EXacWL=tV[HM[gJcXM]gWMirEx\\QcDOceogtOgwgiWsDx[xJYRr?DgsbgYuqWv@;ipEsLgFYeydyTqiwUyb`=DscukUBviwN;I>mCo]iC;yacsB=d_GbUGdtcSoeXoAVW]Yk[T@iD:YtOcT?EwSStL[ht;xEOrgICs?rZ;t@[vhubV_gt=v?_Hsegd]cKsTxcDn;UxaBVEu<Ke<mH\\GGdgfLOxtOvq_EUMtvCvIubR_EPWtHQTpoElgUJUrj=xngwxkBSAdScXkIVcOEXyuvEsNETR]hmmvNovawBB;xcgXJaiakBVOdFaIyOrK?CxEEbcGdyY`eDDqBCIR;URWaBGqrxKga_H`oXuUyjEsmmuPoEiwyFmHaof[]D>OG[WVqshcgGQkhNwce]WxkWvIe[;EOAW`;yuQF]KgbotnIBYWBE]BIaF:IvEsCn?TR_iIMhBAE;chQiXWstGIvEiS=OcJ_D;idpGwdKEwwv>oiD_WjQucocc?svOF_sXmMcb;XvuTkihLEcPoH>Wbu]YbwCaywSGi^mYOEeLcRGChx?Dqag=gvSOe>KCq]h^StwSF^ubQurUEydgx]wW=UypGCr]r>AHbyWWIdp]Cs[icaxIqhV]Y?[tkAE]qSjgDwKD;cIaevvIEXsILouqihMidJSV>MFA_Vl=ujGVuuxhiGDEf>QVkoyxqYWutCiuH_DH_IkYbC]uK_GLIyHYIiaIvCUKMV_yep;YfivEydM]EHCXJ=G^]VHKCvaSjEdS;bq;cl_W]GtbIeameSmTPmXyiyqyuxUygaTLGCSUIxAgUsWvGDCcY\\CdrQtQoi>mcm]UR]XoUBQAWKISPiIVkCMmrdkIRKcJGf\\]SrOWJchUiWhat`aCRsSkeuoutgKUn?c\\aVbCu:aDbmWhmGDytF[HH=b<OvE?CXGHGQcTQIbiuBorEuTAqgviuyWcY=YCsWo]w=UY;?DGQT_eVBesJWdWGvImvm?VqYBqEyaIYeyd_CSPaRtmYjcBS;vjsvU[iUGW<IxXobFqtwswxcdyUhuwgqEt>IU]Kv=qi\\aEwUgPICr[G>]cmurGAICgST_s@IEFuFC?ExsHEidd[Uc;sDcCJ;BY=GskEZKg>Ocl[CDGFkMWhUI<Iga?grOU;UbTYXmkHqAUcOFu]dCQC]qTpwVTGujoDr[c<[yi=exSFXgWs_iRgU_]fVKxWggiegHwy`yvWUypwCKKDGoTYqCOGh[URaGrbYfHAi\\QCB_b;Qh;eT<MhKwxlAsK_CGAuYaBICYVIGRUfpohpyixYwy?GHmBcSIkkUvquKItkexOyT]syfkBysCHCXa?FJKV:YHamsvWvHWIjag=gvLyRTWIymyviTeoTKaF<kyBMcVyFd[IruSAyva?Ya?dOUdJ]sVIimufFEelEx?yDaWtc]Fx?y=CX[eSGeSoeXouSIuChmRMSCruSkQYjYYsEYsKDtaVlCifEulWfHOIdmuvGYNsr<uR`scrkuPwVYgYpysymymAVWEIX_d<eVjQE@]cRCH]mrFKUHor=EdfWtTuUNmu]?xpEvi[Xg]y_qGGqiq[tAuvVsCUseQ?EFsXuIUYmIMOw??h@UXmqsuagnkgjSrggBSIT:Id]]gfkB_urlGtU]gwWUOqIJEumeUyuSuoxbCYbssFehsaF=WTJ;h_SXCwU[?Ig=GRKE<[YTGCq_d=ObaeedqCLDKmiXHhrNqlJilZdX<LK\\]tb=VnMnNiyjYN_`nf<pyqvwHtainxHvgTwh@u@LXylMcAuWUN`]PXdY_FXsIdCuQgE\\wCSovGGS>OvH[R?WeWweicEearweb`[cN;HqABAwHauclEd@eGa?GdsD;=XJWFCQXr[BhwrYiWhGFLICg=hlKdTsdvCG[_TCOi=kd>AIoux:YTv?GacwxYwB_Rmgt\\YUc;r[Ab<ewpMfAmEG[x\\gFBUBf=ddudd[Uc=G>kcUoS?]gV[Xo=reSg@oIjyFruXOaFh_RNKBCgiRkWXSH_MeuMysccmkV<]eIGysCtt_Cvyc??YT;V;IXcQyduxV[TsMiRsvF_CGCGuKxqKc_Cr?_RVIGbQe\\ghACHFiU[KbBwF:MhHwYiwUyoibGer;Ga;r=wikqrU;FdqDKEeSQf=SYJCbQyS;kwruEcmg:_CI[IKKXqMyg[vFwfUyx<YCi;tG]WcEWsQwQuiDEyywFW_XLiFQ_UlUuguhw_ylYsUsHh]IkarMCcowDoOHCYXygVEqDVAVjOxMUYuUYc;TA?usEhV]DkoXtchN=ByWY_<j_\\TTDTUuOd`PEMQ=qnftjpqpgiMSETkINleksTPQDr`dUjaU>@RQPKIdqyTmhQXLpOH\\mv`lRhOeIjuUN:IvHhwuqXv\\lympwvgqAlo_ygG^NVmpxwcggdXgfcTGsGWDlqeQKVtMb[SWi[rTKyi=D`Gbd_EvithQB>;yaIIQsCt;dNSulcFq[b`Sh[GcZqDCwDaCsa]bPUFMORK?GQAXo?r_mh\\OGL_R^csm]EAEVd=FC?DZyYISs?cEVASfKCuOiYOyOiW]yetYSpsdfmvGaClkX`[g@uFGqeUmY[iFj[W^Kh@UcegW=OTBsHk_WIGuh_x[gFLEdMKFIaRHqRS?d>ytkEFL=I^[WBYScYdrKwZGDq]B?ItM_r[kerggggW>AcKsElwCkeYDwrAywrEtN_sDmh?CxEQfLYCLStDOcDocHoCv?wxqyxAS^=d_Swc[d?CR[yHUwHimfdyfrmxCYdaSDMuFLsU^OurExUkHf=R=eBigWaqsWgReKBGUcKYfAUt]=uoWWQCtnMxmuDmGWkys\\]XxiCq[ujIuIqYPsCH_bUOfnmI<gS<uTbYI][bhgVc]TFEXgCW;MXE[RbArrORqmTl]IviWxsfPecWqgNmWuETOUvS]tpuThUrt=I\\ACEmvosFvkGaAwTkciIxEYepgcAkt>MscSbJgEMgDrkdGmuSIttgRl?xRWdEqFGoT@]vrODhOWbKGIwDMAGDmeBCc;;Bh=H^[Brat=Gi_CFymY>OFcsCrMvyKU>MG;KRoGS\\cdqMxPActYclsXP_XsUiMIhHWYGgcZqh=]r]xYqhKT`YFetbQsVPPVMM\\TMduMOLPpdQJPKFQRNHkkaT[xnXhKKhYV<N:IVEtriIMslw_txbiN\\LP=djy`Ua@JomtilyC=stdv_Eq?tOOlqFhl\\HJJgqlaq;v^TV[rfy[haXXtBhckA^xWoZYneoaQxt=Oap^jfotP`h?xdWQ\\GV_^gf;Fwlwhu^qraaVyiQalov_POg\\va<G]PimSqqwAqIycsawsivmpk=qlO``nwdbavmapEN^qnoBOcl>ivf[c^fEi^GxkTOpV?dT^_l^c\\agn@lrGgdfldNw[x[TFhanqEx^rvvVXh`pcWPkYyaVhpMFx_NkCfjLInVq[h>`EOd:wnYAjYIloxajAr=Ftb_\\ipqhpoHPnG?_EVhj_[rGh\\NoXWkaiuphgUI_a`m\\PkvNvWYqqw^LFk\\xqv@edA[qGwfaw>oiIpbLarCX\\kQujQaCyvGwaDFkrysxoxmxgyWyUAquFmD?^DVg?Xr[_ySXuqxgAWx=fWMt^GS_iv_afXAcAyG_?vY_REod@gCYkEe_EWwwXQgEmGCaD;cDI?D=QFHkYhWwA]YcQe\\UdF]CU;WyIVjKU@gcXkEiYEcoF`CS]UgZ_S]GGBuGB;XI;Xbmi=[b`KGYKd>EFMEUKgDAQxr]Fgwy<=dlCyfMtdQhVSUGWg]Kr=yGkmFyqImOBleiv]Hi_gVCBOYtLSTnkfCqgt;H\\WS;sXB;DZ;R:WBA[VgQbAKF]cxOcYWsDredi_iCiiOWwQiuoYhYceSyi]OFKUBcqCVKyuKtUYgeoFN]GV=C]mr:GVjeSjWbdktDEFYMHlqstQytqr@qRLYHsuUgWtL=TPqFN[uRavAufTQfNSv;KrguS^;u[ih<ggSWHaMTRciyQINsfU[gY;TNSV[wIK?cMiT[kYrYrYkunUtGeRMybRII<CewQcOSGBqYR=ijEFGYEJ=DvawSYhCMhaohpoxowtXUryCX[cgGwr]aukqtOixfYhIQT[sfcST`_DGgGnsCbmg>MyRWfReUbcGRMG\\civAdecg[Mxn;UjmWYYFEUgmSI:MTAwhqERquEESxb;nJxLM]N^twVYyHYosQx:AR?ILIDUMDosiOlAwtPkthjDIOv`NWtmeyxt`QUtpKHMBaTmLprmR[MQ@=UCxv]<R:xSmxmIPWUXKGLKS=MdPl_TngXOuLpYAoEdNQdUXdxh`oOxPaeqVytfYYXXlqTRhuKp=myuwydYP]XDIMLIXDmPyHWautRIn]tOEdMYUmbpomQMrIxflwoxl=qoF`yY]talwQ@YIEkCtwxpOdlmTHn;pYU<N:IvCPRfxVcpxE@oTPRolR>ejiusE]LwISyYRxtp>mwJEvOxxoDUcmTGajZxjWlKxqlLpV>djrXxv@MyhLK\\yhpvmArwio\\]WyMwKpdwAgbwsXirspaGFiFon]wncir<gliossfxrYtHwdHaaAv`CGcBgZS?crP`_O[b_\\CvcX@yThxwgwvaklGcRHjcnsuIcG?ntIjY^\\TgkF`mrGyA`\\carohwgiwof`o>sFxovPxDquXqe^fsuwxhibxXkEv_s`vLHoMwn\\vr_@dwQnMNmlW_E`qpYrD@jxYjZ`lMOyXytQydSGEeyeyUyGy`YeKGYYQXEiGmyvIyexcYtMFK?rGAx^wWvGx@KTpyFY_YLohyIrIkYjEr?sDNcSK[ivGh]urhCUl_VcQt_WYpaw;YvVwYxIyq[ujURkcfZEylivyeyeyUQugXecAUy\\yDy?uNat>wiE_H\\sBw?HMyIHiSVkUEyHVKSoyXOUvO=IPqbqouVOHv=iMuIF=tnmev]ShqXEqvxcrqavj[DVKwCcFPqBWYILUipmxiis_QxMMfAacfoEHwR_IuQCB;uCj=G;mx?TKw@m<hSdQjNLTlEmFQURaquhWIYXGUWZdl^aov\\MWexHQwKUTApK]eOmpjIUQl=YxHjOaK_ekNiwjxXbpPNtvr@ynlOipOM<yWYJ><KJ<v:=rp`UGeL;yLpXO]AxULK;hWp]oYumyhyadqWXYAPYSmSshxj<mSPxrURnajmxSxdwf<Mw]jRYtk]VIUlOLMEyKP`Q^tmFUvetjVhvKAWNyS<`uI=pRLxo]NbykylyryUxQxQxuxqxqpQ[YS^<Xu]NkYmqtWxPvDXOxtxsxsKItD`SWIXVPnmMqR\\Yl<W@]Y;yYImSkYoipqtqsutwVypIXWgvvVXhJPmY_hKib^ffmOwcxnpyxqyr\\GpnOawGx?y\\YWhGi`rg^NVi>xmb?ZZhnkYpYhyFvtxNxBY^BQxqowVIkvx]qik>O^BgvyiyYyyWFeungF`lwqnUpg\\XtKpn^fwhY[y`iV@lb^r?inlhnLGjk?[wP[MQjBHpS>emVvn_n\\ixQInp?qvOyS`q?QahvmtNd>?eNXrvv\\\\ojHYn>>xI^fVN[OA]EXvQYoVxeVitqpZ^hpJ@dixkhnAqfY_GGIhRgELcDbcEKub:_f^iw:yiK;vMyCC_TUIg\\MEGybL?RnsSuAx:aVl_ui?xf?eX=w[QSm=fgqwYiy]UWcyuuYu:Mw:?IWcfaobWSV;]Xt_H[MIFLnJ`Qniu<`WstnwqmHiyyMqbXmdLy`xnJuyJhKk<sLIK=tkZ=jZXQPlu]UJZln;ixTiQs=NaajPTqxxPwtTfYQFyuQ`YpQWkiJBAUJMsuAtAxJiyYBqYZxoDhOEYluPq^]VXhycloNqy\\YKCYYxysbhYeQmrqtKTRG>vOqxnywNwoxPxbYciVhDQ\\BaitiaQqfHGaagwh@c=^hcoqNPo\\Pa^ifiFoqveTHekIs`V_cfr:N\\\\Ow?Alkiy_FeLG`ZX_i`qlWypiwMp^GOmoVgPyqvYsy@^sgbT_y]y]yAycynYpieioq@hm^n?ahnNncarNIwun][?\\evn<G^I>j\\GukQ`TV]UvgvHx@yevQvQ>iPhuuxhYIhAi]IvavAhUWeUAx[YrKhp]i^[yvIoilYlificYc^PpCgpdGxt?gx?nhpohybyNyKnybXxIyayXn]XfHams^l]^eOgd?xi\\qZanmrOv<hZEN_eV_CoZBpx\\frqycLYvHhkIvY_EQAuvkBTuT[QB][D;OsdsykSgDGWtitXeVXSFZ[uEouuMXs]WX?gZSXSyRUQbRoBDOhqwf]uXoshy]vZcva;r[kBMIBSMV?GThsBsiYXuVpsdwKFnkubgEkStsKHaUUeEf]?sgkrG?WKIRGQus?d\\=vUKBA[BSqTy;S<iUnOW_Abx[BB;DZ;r;WBIDk>PmnxStTuqtuyuUxIyaXupmWXdL\\TqhtJ[Pu@HN]trV=Xs\\UnEJnixmPplDpQxncPMgEvSmPMuKTDvidnN@nMmUcLTRyKKpR;iTcaXthqwhYbAt[xKw\\xJMNK@OMtp:DPl]vByUwQgxOyMymXYiiiqa_mkoZlfeb^tTOiY_mFA^@Aq=GbsPpRp[ExdB`nv_urHhb?cfiuux\\IYkfh]QGn_H\\M>awaxMyowpxT_uxflDgb]HdDhhcnu;^`:nkN>ex`isqjGV]XAi]i[DpsiqwhqrevyFyfxVhpIuawmqous_\\xxeVPabNovx[\\Hblx]RibYVZ?AfKgvjn_TAkIggRWdl`_higaaJWSaCVWqdnqgGId@oRZaC?ytL_fF_ICaBhwEMCvfmuNkEHcC\\?Y^OSvyIeYbRkEMaiaWVo_U_wG;grD;yGKFa;gD]RvcIG]tJkBo;TD_CjIWXCt?Mcp_fDsRC?W?QFbKtLcfCqXrUyf=hiiXQwgquXhcVIYb`mGouiMAsduSJoFdkUp]sUCY=eHHgcGiEs[X>aw>ISd_Ctgrw_wXOu[CvdQHxkiCqSi_rr?OhYQ:dKuiUPPVYdMKyO>MJDHOKxv`<xoxJr\\u[dYJekF`XY@Mwmn>uQO]radSTYth]TaAUvXyvLxfXo?yXYxQkaSolT[LLVav=EYrtLYhnVTkxXsX@m_HuQqKcpYrxvXuxXyUYdn_pr?Qs;iTFUsteocMtfXKhlkymwL\\u^xTLhplQkj@vjdvB]RgUmAUORmlEDN`Qs^IXaHUWdRBtrrYx_PVrtNoXnjDwCav?QKwYlkittQUJ@S=ESelM>]QtlYYyUb`SYuUYyPxHxG`S`TXHIQaaKUlPF@QeDTUIL]lRZdU@Ynw`ylYsnXQ_XoPdJNIkNQtspJeyJZItjQjCMkXtO]\\MHTLWtQkarMtSsdvNhkUtPL@TtlO;iOKavR@QkMNhUjQxjUTv<yxWLKSaY^LL;Ys@iUxaxaxQ[twiQwdQrY`UN`vvlvRXVbpxO`OJ]Kixj;eKVyyB<lCPUaMPCqwHmYiixrHmgyTPmQlHX]IKM=tFdobHj\\@lPEtbMxDpn:XnrYP<=PNLW:eOBYvbLpHxQe@lxQMZ<r[TJX<Q`DnCQWopnqeQQxYeyWgeoJul>TRx=VwYVaxSxDnShTIaMxdwrHV]Xrf\\P>lrb]SMMSv@w\\dT>xkQIQatUhTkxuNllqciL\\aJDEo;LJ><Kj=jsdYddpwInAtuVEyDapqmTcLpdDOk<pueSAit<ExSuTWUKMmk`In>LkdHKKqUE=oAHS?UtJeTsMMnXXJavlIO^<qHETY<S=ExEpncuMNelcLsnXN?hyOyoxej>yXLanC=qV@UlDxl]NbiQwdQ^YpAMXFXqJxNUptPTrBmJq<rWtsO]Lxtn]TLWtN]Dn_hn_uYulLiTnrEV?uVsEt;tUi<xxhMEun]LkqEw:iJCAkFXYUEsExja<Mp@oxAmM`KHutA`kSpYuiqj@WF<QseS\\ittUmuMq;MlWDSq]jaHtmEY_<M[dTDyyMLk`pY[tXU]y<HShajIqXgmUTTu?iPL`XqqsvQuU]v^tWMQvvPRuul\\`w;QTs@xy=MDQj[TN:IJ=xNFiS`lNIPlFxx<`JoQJ[AXcYTrQw>Xt]lP_QYDeqDXo:`LoHYQqwP=QsqoZ@JTeViHwtxRsxu=TqMLvUANh\\RIeWihmoip<qqMEuk@sHYoWPQVIJGPUntsWeR^PrJ`o:hsI`oclo`Tox]o]@NoaPP<O_pkZDp\\<xnxJB<TjPYy<x\\`YIxjjLUV=vEplOLki`waUyLYn?lqpYjI\\r_\\TyMV?xkgqkYhl^\\YXqu:?ftQqcqkcWmD`\\<qj[FeZQah`_EfwJhkeAfsYb]nyvWwB>psGySvsFGmX?cKwwuvwuWlHpmvnxbI_f`q<x[GAcDgfXRrKEI_Ij]bqSdTADyYU;wxrUx_IbIMyTSGw_XwYd^AyLCHH]yFaVlSgPegtEy_ydmEiVCxKUslOc\\GxNObCWeouXqUFigRPYi\\erD[u?CUlkWIKfdSDL[X^AtrwWiuOtQPBhl\\PJv=QfuqlLTBXSmMWktq<EJ=`TyMK>Yp=PtLhJuyK;it;uWdpW:^ZhHs=Ivo@dHNxXfl:A\\^HcLNbOQ\\e^l<?[J>vM?ZAqvxa\\EPwYWsNomKxnk?s_vopgnrN_aIiwibUvxkOpJYtK?wPN[bNd=Giop[dH[PvgmqkypbCNgXpZB>\\Zrc;RKIrDaV^?wLsGH_dEqVhYieywyUYDIXg=DsKsBuY\\KU>mEo]waDyDIXa\\mBIUuxyH<TDpYdYjTTJHTV>YPIaQmUtGuPglUv@y\\Y[v@f;QZlIcMxcWP_XpxoixOqtPqakarMVhaqsw_vKxbhaqmqs\\XeW`uXa^ZpuRAurxfIqmtPqtf`B>jxAmVq\\Y>sDyiI?gwp]Ga^uYrVIrHFsandFFocolHg]DYxoiu<qvRArONpbwZr_a?QhGIsIWmhhcV_nVvn<PdMgdWhjVgqOw^NoosF_DIiw>s>PbFXiSYbS`Zah`;Xm]>r;^bD_`PAmj?[>SNcuZote=T_uUVec=CY<?uuwvsEHIWWbCbVybEmHsWImAVxcFgAYAYukUfu]chSgysd`]I[CSIwXiEr;cYruf[GSlivGuVO=hlQYPeUj;Cb;ePKCTiS=kgR?Fx]G:=b:CBxIEb_fqivIKh=SvdwwN[VN_saICdOwumrO[yYWdm]GA[TEKXs;iyygsiTeSrIyGUov_=yvmcaqiMoT\\Gt`sxtwgF_UnmH>_B;Ex>eVT[f]_SNEBZ]w=OwnsBSCXaSv=IXV[vYYCQkGVMinEwwuxWyh\\eJmqvGYUl`VCIUaem?`ow@oPmS<dwMynIuWcEWSAqkUvSxVXHkveMqERtGpAq]u_xKybYwiwih@AuYxyvyvTPmTPn^`cJQaI>Z^NfP^ljNePw[Ciq<onHnhhOeynoowZIPiQPcbhquIffX^NVtdGeGOsEGcZfnVacqWeugbwg[IVwOvZjQZ@Q\\ZYdCF^BqyXFyno^E?s\\I_paaYYmvwbUatWYuwa_Uiy\\wfUIe]XoAWw=yj:gewGe_>iuF^Twi`Ons_`UN`VO]lqyHgv?N^kFZ<^ZB>xCYrl`g?Gl_FeP_fS^aeWx`h[OyswfqcgxeWtw`mbPl>YwFo`Hf]MG``_qqNq?XqmF_EFd[_iTapRnno?xe`vc^^=QbColMonFGqgqpUqyjyjy^qrQvE@cAydipeWquXqi@I]a?dVxhcPvuycxOxMxoygyeYsQx_qaaiFmFodN_df`esPheqtg@qpavMxcxnvRXfVnog>ov_yLV_AX`Kw_Ln\\CPm\\vqQQoDAtLOmr_cdXng^mYYjEnnEIhRYmLft`aeXP]gFkWghSaxgq`k?ZtOc\\YiH_ZMnabaatPqwWrwhtiQjWya;OmsGmnOt_Ntc@qvFlehrIap[I`ZocRX[;yr=PsFGZH>^vAikGtxg\\UW_pgZEiwO_\\oFvDPmEp^qalaXrvvu`^[k_g`xqoqeRgffXygPhq^dDvpHg`vYw`pweNe`oyLGqjoovFyupkQgnNGqXob[?atxlkQkVnnt>thhaQH`YQwoAf:WwKGaRimpFZ<^:Nr_qkWwb>^gM?b:PwAXqMa[avk:np>xaXPnhXrFWvK^kHw^qipifib_rlxaUYaYQmhV^YF[Uqc`WevOtbIyaNrQvsApn[^cD@x=@dCg^yPhpvtwYpwn^mFon?xx>]A@h?`a\\aljGkfWihausX``_sbawfaqeqouplgVepgrOvdVaimisQaemgskwrWv`oOwN_^hAqwqwWYqIWagapkWv@iisYsYon\\Onn_o?YkQvmZ>b[W`^FlX^pFYZ=xxrhZEQsmIynf`CWtDQrXheyAeQOZiXueywFg^[nt=nlmppyFuXwuu>fi>xjwhI_yQ^jsxZrap:gdnyxnoZS>l?XyyOmPYwjpykhkiGrKn]bhjPVobGej`cIQ`<G^??tl_uXindqtl`[DAr[@ix_\\pnxZhnA>[JjMhjJmjkPUq]qjaumxRyIxq@sGMMKhpEMTXQSeQXr]xkXP[muCdLGUR>TxqEMTYJv`Md@_Cgd_FmFYj=GfPfd[_kKpq[Nlfw\\yO_]Oqhx`pn`xgweweUOp^GsixiwupWuhUihQieQGdKGxAxAwIV_YlIs@GVZQuvmIy[WRAhuuwwwXWQiomhgub=IVEQh`[SR?R\\_H^YeikYCKEUyr:Cv;[fBeGQyxrWxP?eIIxcCfTQyPeHk[rFMFIqtGisjoHfifuEU^KBV]B=cgHETh=bsqRb[DdIfd_TI[sgyr]ecZEhf]ffIEWiBWGI=mXWYwwGX_wHUUBo[Wkucu]DfmG\\_VT[eAyB`GU:WBBceuWt[SFvkw[EHQaBsmslgE]kbGSuoaWSGSH=cUIeiMiU_WjwbmGDrwsukcuWUq?i>eBlGyX_EbMwoCiKYVmUR<AT?IItCyr]cXED<mFOSiQccgAum_IIitvARkCgNArW;ul;R:?:YrR;xowDnkyWGBhUR_KY>QxjcgFqfZggGeiwEwVwiw;wrSY\\QE]itcWxswdAusT?YfasWudWMInOic_sLgwNmBFST[QsrMHLuXHAvSSG^]flAx=WbWyC]_DwQv?EYo]U<MGfASGygyoytYXIiIqEulgVqsuvUxygyUyiGOEoKgxoixqpYqkniMsQYb\\LTPQoMghNk\\@dBikaIicahtN\\C@dVncJq`GNrNFt:>ZZRLCTJct=;Bd=cBAHraWyUR]EUOeGfIW?UrlKGO=b]EXOaFK=FDMDl=HYKVGEihWFcKWmSELyTUoBqiTx?GQGu^]wDqVmwwcKxU[tLeCjIWuUBjCSPkIO[ErYdSqiOosdiEuwXfCgvsV>eVmICfgvOOuw=Vg=bfgCKAx?QwngF]yDkeDNUhjqf:Ihv[sO;WfqYJ=SFkt=srmirc=UJQu=[BB;DZYDAMIwQrwsXIGYlqx>OUeWwFIvo]Fm]SQuvyuxA?TMUFOuHKAYh_R=Afr[uWqgBaU@mbIYe\\GGZQePgwC]SMgd=ou]qU^qt>mvBiVH_sUsuO=S_YgeWg]GtbAd[SRPsGX]YpIuauIxAy]AiGMHS_i[qbU;clWvpCyvmIVkCuywHES\\OfE=sTYyuYyEOCeIBxkEF[RdEHh?CcAg[?HRGYR?I_UWrCHPec<geLaVECgquxHigOiGAMiTwVskHlWY?Wi_if;kiI=DxWRCaG=MDMAfFGuM_s=]S_qvh]T@SXQYgguWHaWxkB\\[udeWqaSO[vlCIIic>?r_AEZAb<WUZ?F?efLqviIRH]YWAvh]W=ocA_uaoybqgqgdP=E@sIquxW=wVCyWEy^YVgauPohcSF@oCiMTeSg^Qx[kFQQVIYCHou=YC\\ORW?G>]gBCgXUcD?VmISP=xwewhSEbyGLWULYy<oxY;F:=b:sE?kfE[DS?sAcXBYHCMX>oi:mBn_eUWcEGCweimWDneCpeh;Yce;vhYy`uXfosCqe`cx=gEpginYD]qVXOXHQDR_ISshFWcneiHEHdwTSoHsaV>obFCIjiFGexwAsAciAiersXk?icwsAcIICCwOgd_TN_D;_CxerDgDWeUWuusqsqmEK;IyaymIGbge\\aVNcR[_bN]VgAya_GEIhR]GbudA[dKAVI;hf=r`GeGaxouXskVDwb:AHfqCWWYpuwcoWXCcw?RKgD^WFvKU@gwAIwX=UVsc@IiBUTtcr]Os<Iv>]I;oVeKu@KcfSgNOfQ[B;<xC=jduSjIjRqX>eKMum=yVGayTuXMYUUttvqokywJpS<Eq?Lm@dWgXmApT]hntlqtAotPoJ]l?]XXtwL\\PWAJ;j>ISEArq]vV`YhUTO=XFuSSEmbPMpYjb=loxNMpvYmlwTqfqq?DyH<V[eUlTl`MQ[hTdYTHuUnW`[_y^`y[ohYa\\\\gwnv\\F_iw@w:xs^O`BOsuQytQ^K@[LPr[OZBGukWfVqvIxivYvlivEYatNajw_VWc[P`^?ZNf^ZFwBFbeayrG^\\qgmqfXAtnwtpf^WAZ]^^Gga@OilickPaC`iu`qmxZLGaBPq^FmaWqpH^G^fUWs_pbb@xYokZghkVesPpaOwpiiuPgdOo@ylGHaPg]Qnf[g^Aymf_^\\NlIhvX^^:OkJasH>\\ZAr:ih^_^dqZGXtVYp\\ixrG_hIekQdwQgdyo`yuhI`YOj>o]LNlbOss?pdp`Tpf?XoAXnCHnpvdawhFo]OFchQh\\ywoOnl?`RQ^=^bOfl`ajapb\\`]OGvCxnXIvB@aCWcfhnTqi;al\\?j:F:LNsEnC`SXXm>Lp@yJnakRdk=MoPhJqlV`EYrXs=Xslxov`LTex>QjVuNgitaqT?PRGuWYUX=ajMtS>Pq[=QPTw<HvadrV=WOhrAtxfpN^uTXYSgmuAtQ:AmxxMNmSrmw`tN\\lK\\`YLDXh]VgYoPeoDhr\\=S>IXOMPS`whqwX=qjEn]<xLYSiduxUygqoeqOWMqnEr<hJYAy@yPdXoeHX=HUmpV[qwB]xK`o]qVBqv=ltx=JCdkZPMDPraamFTV[IuaUpQlM:`UaxvTaSC@odpJ\\mR?`Rl\\TSeuiPMuxvUEqODnlIWtarkeX]MoZ`o<hN<QXRyVt\\q^`Nyyt[it@XjLPl;lKb\\ycmMe=Vd=s>TSK\\KulKKYnNHV=Usptp<qSdYLRAUIIMstN@xW;tRelTFMK^LW=\\JBrcCbgQIlWwjOdkEUNQc[mha[FRYHS[VgygvCy:Ix[_IbCVZEUj_IHMxassT?HemDNwdEwt;WbVovjOic]UdeeNqtK?c]cw@MDYGs^mhiuuxSV@aCDaH_[cXcItAw]wchGgcGrGwfFEelutWuX_iBPwGYmyfYhIQF]yGeSGuYuYqQ\\arCHxr]mYtTK=SfpN:yr;PR[yOi@WjLwtPsSPkf<ku]OP@mx]OsMtshMcqn]TWXij`iulaxlUuohU;iY^ErHiOKQuOQLU]PcLK@tNliTrys\\eyE<ysqpupWI\\py<vvpZMaa]o^=ndHFdvvngidDGb>xg:XZgGnlykh@ganp=iwhYqu^qwvcrXgj_wd_scXl\\wbHqf]Ql[iiyIqGAZQqme_dHhgdoyx`h=nkcOo>AnZH_ZIgSn^CgqVYwHffn`dF`dcfmmxyj@gKQ`oy_d>hZYyTIoeHlanefF[Tqi:@Z;ByaC;cBEMVXgGCMbEAsXwB[USFuf`Mtv_IuYwiWuI_INKYoIx]]hVGw<oVamT_=uJIdMwxWWi^MrFGej[i?wWbGBMaVL[DB=CqiVY?tvicy=fxgxAcUdquAkI_Wb`qiC;FmqfRudHqsHifEudxKybYfBQuUKETkVIqeWOS_oEy]ykyXYiYqqwuwwxauaqIQSc?Qr[AhaIYtogiSUp_wOyTYeimqsuSYuUYY;YZIbeogtOwVYXIiIxAy]YEUSEeOgrSx]_FQAfomE:;sL_eEyv]KgHiYLodJWWFyhmEycmU=;EXaYkerVqv`UYdAE?mTfki:YTqYRu[Gj_TD_EjtW`DkP]uYYreutgUu^MqsAUrLQw]rN@K>HmymrZqoA<y^<ku`Jp<QStPwqOnpoUIp[IlxiTl<SgDO`hSPuvRTt@atGPUZIoHxvGalduNjHtrlyB]UJIl`Plv<lRLpvutpHRmLjuEMZ<R:@JY`vjmSDHvFmvkMuvDSLexa`RWtLphW?xNyQq`itQtRaUq\\LYS<px]URuQnAoTYXHyowtxVLkZ<rQIr[IsidLLqWAYq@ERltOw`xLyxyxywqppppexoxvpxhxgPmTP]vhoB?T_wQiUqeuiyYyYyOYgQUe`GcuEFkurWscO;Rtux?wGvEv<YCi[ixQyeYWeUWIUIgahUmWsgFK?S>[gw=xkwetecFwsX?yNMuMgvfGW@WRo]GmwdQCS\\=DXquDSut[TxGBQKs:qc<ur[OW^Mgu;XVOgnWCt[vnad_IUyWXiQYeWY]yULsG<ASIKif=CAoiHsV@=FQKS@EXEaY<IF<<Y`DJH\\M>UVwHusywaXyPioCpq:dK^Ay`UQuYOYptPyw_uLG`V]uqJPo<IJwxQPiVBMqdQxdPSsET\\ESa]qwXYLPjWhnFPyKXru`SLuvMaSCTUBESLXO=PwgIkxEvL=JvdmV]yEElsdRkIv:DJ<>\\ZY^:Ov=noVx\\SFcLP^]AxdvntI^Wpjiwi]wweY_diqpHcTG]BaskPlWGl>`fBQuIwy:VfAQj@AllypEI]?Hsk>tf?hR@s>Oh>gnT@aOxpKnavGsuA`DNsRAZ_PxHnouq^hpmuQu;_vLpqmqsu>sTY^K@soxtXWeQwdaAkcxjmwswR`Iea=dBwgUuhhUypiw^cE=WgfUu@iUjUbj=Iv?V;QbUkWrGVXaisUypiwuWyhYikUBSmdMIwn=tnsCF[EQITOsIa;eCMDQKvVcH?[FGwhAeRDwFd=FXSGRAiHSyJKi;obfWcPqgeOHo=ENqd?MVvWSCaC\\ETj[CGwXLsDfuSROCFIfTEC;KBV;U^EFyofagElmT;QboABUsiQyd@_GiWTZOx<eSD_TB=rjQSFSTAIxHKh[KI:=b:CBHCTN[iGoXk]ThUuUqhlidWygwSrwCxr?HYYsC;c>cH=mRQeGx_g@CUu@Ps`OLqtJTPBuMFEQvaqAPKcip]Ds`QwBAJqputUOxmY_YOYEMsLX^LllMSTePGUXpawSiYweYXxvwLybwqviviVb;wxWPtIGh=^ymqrUvgvayayaypfGQmQnerG^Uhs\\Q_n>Z<pls>s>fmn?fvwisvgi`lOHntN_l@wnPknPuEHqSnwKwmq@wkigWwn`pd\\FoiHpXAja_drPiC>w@odDfxr?t^q\\fq`fY`\\IdDoq_vtAhk<osAi\\SncMx^Gv`GxaRyk[Q\\Bfvkx[wNtkQtnPwCqg_v\\QAoDQcTN]@NijacHffrqkcQlIO]]f\\Yi=wSyOsWcWegDcOhysu`[yVqi]QuquD^erLkgBQvt[IpWsKWCAqXcmIBsy_YYckFIyibyTL?YByyjuwREeUaHxwgcagTYDQSh]MyfgUqAIU?rLArVkCs_sPOhYGwLouNgg^YHgOHWSGdIx<=grybfyHL]WhODN[gUuya=FL[tpid;wUayy]sCnId<UHIciQIwK;F:=b:CBv=u\\iG[?TOYCi=RnoGUMhGGR?EHjUREqwq;ydAUlwCc_FfYS<Qyo?xgYwoqugiVlmb[qwT]imcevUWDIsa[UrEXpad?OMOLmiaqr`KYYon]L`eN]xP]hL_dlqlaHnr;`mMvh\\gwrirl`ohqwh_nZi`of`r`nbH[=`iWFosfjgxf?^[=A_gpqCxuwnyL`j@GjkYvAydPod<G`:H_:IZ:Xwq>bc@uNWwdQ]Uxb:YueFh;po>hupi]rAlVadDNv[Vv=Oem@fUOodYhiPwDQ_bncpFiJYuQ`pe`gZvkw`ZZqZqia:ya?F\\=Qb\\wbxGieQrE>r`i_SHo\\?tIqwWytpQg\\WsDhigh\\SghagsXInf_rBpj[>v\\fvqP_]Yb`frEQ^l?kIHwL`el^]AFltGZ<B<[YlAsSIISMdOEcIwvPGW[SDKiFhadCAISAhVKvfgIS_sgSiyeuUsOKYuTTKQQP_xKldUWDq^eX^DPqatm<V<aN^ewpXWEQTZ\\Va<kudLtdNteSO\\lb`xLlYAijBytodSMiXwtmIYNyxWeUWehoghNHpSZtWwdRTAv@anEUTYuUIXuZTWQXJcip;qjV]nciJLYR@iOitP@Yn>\\QkIv<PN=ankexgeojqsWASEPrlHJ`MmAdsbLScxrKpqEiNKQqsmrgAUWqv^MSQXNCDs=`W?\\Nu=RbupQ]vn\\NwiLXtoMEmPQPByp\\@TS\\QNXRRLRr`MUisxamQdNG=tU<WF]RSXpFqOLEXwiQ;eT<yWgyNR=kbHXDHOqTKA`X;AT<=Yxxp^yLUAn]EjmYQbPWAts@HNjATYxxJxvvdsh\\mXDMwyUupOQ]LsAqRIK[lnQIqo<qeMsZXP`HxTMNxIm=dnoAJ;LZj?bBfn=i`[_cSW\\Hvl;PcQfvLAjR>j_@wlFiwafbhsRaqTqbQwZfhiUAqiytgfeUP^rQ_jPduWdX?cGhqsvv>HpMokhVejOkLgegVqByhn@vHVyqI]SWawW^kUHaessSycynYrIsIvmvSwVpkHpKFeuRxieCaVPagSUbf[ESUynGWMAsMsSDGH__FXCwukG[sGu=rTyCn[bAiu_QCp]y[?XXaDDcb]Cd<=RiSvOuVtSIZOcQTlyATIEq_Uk:AZ;q]JY^Jfh:YpZROitNYGBqxWuDgkHUeXN?FmcH:AvUQC<WiESUZudmwxOitiOrRgUvGEA_BKsR]_HYqhUKu@wbTOeUoFR[SIWxcSTiYbAACJ;F:=JxdKjaUq@UdemxipW<PmmSRHrXytXUXPxOeeunHxBqsGHT^]yDPJpmTQXR_UkhdQsQj?AlbTjdmST]QEaVd=RVYK^UM>xnVDKtLpgQkDPkemospvsyvYxYlIsatOt@w\\XkilqRDWtUWeUwwtxVYXaimqMvP@qphn_hraLk<PmMtRAySlauMDnAPR>\\YJEQoYVbIJ=tm>QmguY;xNmlNumo<aNUmTjIObMpwpsGqSZiR_dqjXm;<TYIyWywAyUxiRg\\MQYK;DKlyJLLooupQupmqlKUWEmWVaWBXSjhoeyRdPoxhUXPk==qhPYrtvmqo@`sbDlQIqg@LbVaF_s<omnacYGqe`uLnwkorGVaDqZoYnAImE_xTxgMNlS@gYPrUpolIeT`qB@jngj[?]LVtnolNHh:IlmivD`ZFgwAi^eHuhW[figJYu>f`wQ\\Uqo^@bH?j`XbhXZNGifwfWAy@HvM^uKih[Qqtv`;ychO]=^dWxrDY`GymA>`rWrH^cEAZ;B;kCF[YpmsccR>]ip[DKodA_EWUCCEYvQvZSE;mb\\Ob_AGr;Iy;yjey]uCuUgyQt>WBrobyyhpIGKaSxSiaQricsvcxn;EuCUvwG^EHJWUZiBHCe<CXAmbAMtkCyvmINKCWcYnItYMyLydXiYqiuAuEw]xcyfYoGeSGeiwgiBksxwmtSuVg[Ur?DCQIKUx\\CXAiuc;S@oDL_FvkG>iFNWuT;v:;RPcRA[UQYr@ksR;x>ciJ=W^Aw][x[YDgoto?v`EdLeioOX_AyEuGyyYqgYKsv:ir_cBWUWbWWJ?Rd]x<mFRYyVosvGWH_TAWcMMGJwsOSS;[BB;xK;r:GVUeTOQrbuW`yHeSuqqXhYYgutPysHeUNesdKeUkb=SUIcYw?Fs=V>mvHOEyCdG_WNOErUCqQCTofdcdCerIsTdkbCYYxaWf=b:CB<[jCLREDx[lMSUqeAqxAXimvZDmVYxEyyfyweqW[IleIL:`NLEt>eTwewKYXUxOuQNqmtjIVVYLk<rvLn=Lj^hn\\DXAMlGin=djI`McuXweYwiOq`u<`juIuaumwQvQtqrHYmqVVexWxwvuVCQl_TNAmk^@tO]nrqj[]l`mYKmjedY[tquDYVIOpiQ:Avldm\\yN?\\qJ=xjdubURN<mk`NCXTqURg@mpdJ`hsYipiXnstt@lmslrk@NAiyM@WVEU\\XxbhNxpXYut=ik:PMOEOxAUV@nWYwXYlgUQ@UqG<NADwp\\wCuW<yPA`jTPvfhrLewZmQ_ATqAnF\\pnPr<LsFmOKEk[db_h\\@>c_nro^jAijP@hUneaX^CfsWOuLGpsoc?qdswj?nxDvwch_dqoYVrm@\\EWrJghwXuuy^sQm?gtoXppqmNYtUYopfnT`n`XnRAdGHgd^^rWkOOxVWs`nlaIkgpm@X^v_uLIyZqwsQp<neJV`M>^:?j:vZDn[]YfxpvBHhXI\\KAZ\\Vohxc\\IuLOq]Oor>iqgp=qtGAhIQtHhpiw`^xtjwuDxnunglihg_bmAyCFtUpq;fsGIeWXw@AcwqnhXgvii]GaJn[v?`_^rW?drnmDPoEPcN?y?`u^yrYvivi]q_uKg_\\XkDYsEY_dN?wXiKdlMFhadVOcZ?YUKX=yD][VfUuH;iuIb;wv<gwrKghyHhucPCiX[R]mhgMbNmVSiUlkISqsHSY>UHqKtpyXZKtOeFYmf=IyyOBlMHS_BguBq?bkWGtkSPis_MRSAy[EgYOEZYv:mDlUutUUY_Sy_yhuvX;EOoBWUBAAY]CyTyu[iwcgDMkrp[Ko<Us=Wayo>lnOtJP`UxtWbqj=hKWIpnEU]]w=LPAEJguKJ<N:wmn^gkvxcPk<FcJqqiWvEx_dv_vfmCw^eh^;odR`^EIvkvbYVmRh`IFeu^vGamVX`NVbQNlRnin>pZ_`f>fV^bVI\\>iuqgwTitOitOYtMY`iouvNeqvixayqigG_lW@mwFqRYkS>o_X[EHhgarTyexGy_AgnNuWiuGxbpgZ<n`yysn?Zb>ov?q?okH^q;Wol`cE@qvPaiP^PNvKV`KAuPQs`HtgWoOG_\\xquq^vVx^P`gO_hYlMvcDg^KA\\La\\LvrkFpEFZMa`AYhWwcMnplxfUFnl>`^>pm@\\]qorqsVXd[Iodo_FycQ>_oy]Tq]NvqW?hD^_MXyWInBNhYwrKxja@gvFksv_v^u@XlAvtGWhq`a]fwmGcriqWFt@avfxroot?qeUa[UQZe?k\\VvcnwIy_ugfaYmIo]shZdg^x_fQIjGpwkgcA_ddAuv`o@V]AxwJX_QHyAW\\QPjAFkb`aDPl[Q^SgsEhr[va<QlqPgi>\\\\h[J>^:?j=>[xftDxysP\\b>fc_uSomLVnkgjU`vnVfqqaxnyYWiSWrXhckv_Gx_CVeLOilotTIoMyvwYs?GkMqa=nmQXpng_@fvp@k;`\\iF]AWxJXtBqmY`fO>ZbnrWFeuo^MHet`hcikqnuRFk>otixeYAuRAcHixyo]b_[VXihIqggggghoghevdh`]p^gRFkxxZTVsA>[AasR`puw`v^pOXtT@hN^[wYr=fr^QjQPlO^c<f]n`bvn[hW\\BWirSBkUdctY_cnICLmDVyu=YuB_d>cea]YdurI_Rn]EVKe_kgWAwbogjCCSESpYHYUGKMD@KfgStCcy`eYWeubcVbUUGuB:qDxGGXkskqGR_HuoUh_g_eh[?FwII:=b:\\Mn\\vw@ULmjyxLlAVd\\KYMLLHmGavYTyiqtqupNuWuUP\\]rstma=lkdodqj`IQEls:Hp]iJgAV;xq_yY?]uctNOutoAYvlk^euj\\klQxlMku?_a>ohpo@otHxe\\HtbfljOn>ndD`sC>xIPjCVyOI\\px^KInqqcX?i\\WmLppyNh^ogVAir?pI>mLWf`GfWYu:`ax`q<OkMYxOnqCwqdAmjIkt^yBFcsvrr?dTvxrx[=P]v_kYyfmvmYwyTYlgVgja[QPmygaUiadq\\]A_^axOFjHXy[haBVlage>pdsOno@tBQwDqk?asxFa=`hwWkqXhI^hfAhTYo[`wmNuvw[VfsCVwRQ[?g`:p_]X]qxi@ieiAjexjg@_>hgbYgoqxXQvfPuTPuNGoGfq;ImyIecOtKf`=OdgobewtxHwdgdggdgiv_weN_f?QnDhndOdnfw>npfamrP_ypy:HsihcLIs?A^PAc\\nuI_sL>`IP^tQja?]Z>b:@ZANZX`vjnrl@apYqVwhFvjYQ]EqvxnmWYqox`PGgyTwkFSQG\\iVleIpwDmKGQqUrid]oFF=SFaeHCfjgsNSuogCl]xBGXUOw>YUxeCNuhBQT<;GNGedMCZydTOeT[yl;cTkcCaVl]urGXeqtgWwfaw^OCf_TKIGrgxA;ChsS<=SukU>EBEIhVyhX=ukoWgUxFIUYkhEWvrMdacdHYSkkHVYWrUHNCDTSuT=SLWDJKt=OWBsbq[T?UVXmHGCuq]gGYuqewreIvWHdwbHagRgf<OGQSuHwIlQUIkWymFSWsNyFnIVogcSaUaqtpotggVg?fbeUc_vEGxGsVrUfdGU_IiouFpmtpaHlSfFKVt?GRIVsqtcWUjyvA;CJ;n:tmL]L]DOFUsPex<XTktmAxLXXYuqyupNnipDQnL]ngUm_Ilt=Qpan]qLYxJ_eVJLP:iXmqSXULTlJ;eRpyyqDXqeUQqpgMniAkonow`ylYsKpeEWjnVf;`fwWr@h[N>iMfk@G_@imC^Zqwy]>bh^fGPb[fxHGxDgwWGlOPcKFsNQyOftgo]cXcVxxNHfyN`u^vWYy:QxnQr]I\\WhserUOHmgU__sLIRPgIsswroSTMH^;d`MSAIEHGHkuT]eTsetJCgp]fvKf\\PLtaQb=KXHs[hWriKjyWlaVEDwp=s=hjgPnGLQQyxhMqDYqQQTt=ndXKQxkFipFmtH@Q?hk[iODuS[qpqAqImyWYunuWwQKBeVrAJGDXJYlJelA@kjivqQOIhvwxyyhwmYRUXmUhsk]q>@UrxjIEM_EY<qjd@k``s]duSdRqXMNQu_DNu]ND<Wa=sD@nfyKExpeuSBUnDindtP;LJ><KJ<v]mRPxSHQqKTuDDvbquOIKupX<YtIMrpyX[exeYVttt:`MAtOupTUDOeLS`aq?YTHmQ_TtvLJqQK]AvgQUK\\v[lmeUOhhN[Yk@XPrAlRhPOhQxQLtyqfiqC\\mVeTOxQxmwUUWgQoXylnunuDwfYYBDN;LR<DlWDUN\\tj<KF@PBTn\\akEAqFXsF\\yaYPHPjb@wbyUK]MKdVK]L^LJLltjhjJ@RZDj>`wuQtuQUEYuhywVYYdpUQDJ\\`rR`X\\iyLaqNeqtexdqqgquiIQqamiIX>QS_IXiLLq]NJaLOTR\\tkBEuY\\YjIrVmOq=KyUndPodXn]XjVPyDEuwAX=qpAmPq@jWpKliQ<qLMawfmVjAjPptUMjLHqNqn;Mk`EjoTY<ao`mU[=jXTOIPMnayNHOT]xqMKYXyTTtl]QQHs_]UPxKmqjXeutpqqvyFAgOgc^P[iokgfmUwyBqeRqtWq[G`[fV\\>@[cXZx?ZCVe>Hr]igPWurI^uovBIt]Hsl>ZnPwEpd<@[sQtbnt?h\\hacdx[f@nZ@nZ@`vAv@n_]gb[OqHqk_wquicnIjuheav`=Nagfa@^i:vaR`i`Iqjvv^>mofZDQd=OkwPboNtOpm>of<pwdXds?f\\qwuqq[_\\DA`[FpHNj:@euInlAk]qmKhp]YknOaWquXqa\\_rB>_PQgOwfyAnRVlR?`]ioNW]DNhU^huXg_Vcj^_qn]qFeZQhhWkBFyvwwticj>mMQt_ViZvfu`dEFpnwu\\_um`a`^nYF]Qax^X_x__Zaadg^hy[pNqZiuL^oTiZwyapxuqfeYvaAnfcXgl_?WevWtVKiG]VfEi[sWl_bi[v>OegqvRMIkedsqreWipcgnYu:UVIohx[CXss^mhYGVW?hUKyiAb_WWgyTZGU`ChTGrCIeKIBjyDtwB:iXZCWGAgbgy[AvAQe\\iSSmD^iivMUNCwJaYbSCr=D^kBnEFO_d]QF:MTrIMx@yn@t_XXcyVqijTXqX=oB=V@xSA=R_IKrPqtMKDLKDtjIDKVTNjXvgQw;xlX]jatMR`xbiU_mYX]kUlmGLYfiRuMxnIYELNyaxk=oi=s>iO^XmcuSbHLJEVI`QamqY\\R<dSQap<exILVnLQ_=UKujhMoM`K^tJC`lWDWtiVQhUpqqqiqIDOo]NLDRhqWTxj`aJK`VG]QXtMR<MZltXxsaiTFXy[aJXxyNxlmhXG\\KWiXViMUtPW@rI<Sd]nKqj^IkmdOF`OHPUKqqFuyIPuXlUu<uEdpw<WJhoeqMsLYFUltdqyunJdTHEjSao`LToMRjDnmduqPlkDwXtvZ=pweYWxKAtsyHVnyoW<w?`lNmlCAqJDPP\\lGmM?dKMYlutmcaUQUTSExI\\WXAsTpnB<u\\MSAApb\\Oatw`iWMqKDmYAyj:Dwx@Pnit>tk<Pj<PrjtreXohiyKykHaulAqQ<y\\lv?]jkLWViwfMmtmS^Qsy]RPqKlMxNQtnDnuTv]qRBquSpsneuZdpZejytRVInblqxLR\\APvan\\ewyeuOTnthl_<OvHL^prddnp\\lQ<wuDsDQXR=Y_qxaqmfXMJdXjuVoqw@HrxDLgmNbDT\\<lKAPBQwoUTBlybeJ[tnb`K_mx=im_IN\\YUv]X]euTiWg=lpENjmM]YU`@xpuRhUTZaU<qQ@yjjLsstx^an:hUJyxJpMUmM?<TKpKAEMRDQiHmvPs?@YqEXCtJ\\HjMDXL`S>TSWMnWXpjLX\\UpyLw?hXixqnlXSlx;YSdqUOLYw`s=`jP]nYiPZAWQ=UQ\\nZDy[aU=]oPuP^ikQMPkxVLiqKTlcEot\\N^QsrTj\\pM^HUtykjipMyJpAtgyURUVKqPd`TAPj<bNCrJuWS[bK;c[uWIsWUKfESuModW?EAiXhWsOqFaAu]WciwrlmoUYyS<vVUwViKItOHyutyQa=QwEWU]XcIQAUrXpy[HLMxOxawQToHMmADs^XoUPNRMpJXjAQr:LJg`pOLQfytPdrTtu;`xc\\Mm`QYuP_mUdejaqvfdkSEkTTrlDv?xvwaUH\\UQtmY\\NbIn@<SZYyA<uO]tB`P=enBpV@MNhQxOiYWYM[unnQplxpXITFHoDEKAQQr`O\\MkQlQaavW=Xe\\onamBalShs]ErflnIDPg`n]yJBaK<hLkUJq<JhUU\\xT@YYGeu`LKDLKDtRY<opuR[PPY`VSImFustyPmuqtirTxVY`KrxMqXs[<R@HNVhwKQskxMrPvd=mnDudTSLypWus]qQI\\Y_tMm=pvpSWPj]UM=pqExkP]qppXihMYdv:TsnxVuPulxpyuQtEw?=nSLmILQ=tpB]q=TRa@Y`ART\\qsEyNMM`DxkElsAPAhPfXVCyNvqPkipRmWAtW]eJOHLdhqD`qYXY<qKampNio[MtttJPMnkanrPuKiVSyJ^myCep\\dWbQLTPNLDLFaKR]uhTXg\\VkyrUdOMXsdqYL\\OA<uAlRY@mxErxEQJxtWiKxiQpEX]HTqdrWPOLyknEXi`pSdQKmLCMot]JSeRB=J:<L:`N\\@^O`\\NB?Wr?=iAOypQtoayWmUE]xEIEQafnUwsQT@tpAlp[LKcXqwIQJQy:YxZqyuyJxmy=aXiqjc\\kkArjey;ylrMaoW^udvgx>GIfMv>;h]CIG]smOVqygUKRjMemeDuAgBWi<YI;qF[]tMkvFquxgdwKt@kSq]sfSs_My]odBeTOYcIkciSCPMwyms?KE??cGwsgWDBGEhssSICWiUWiUc_TTuGDwb\\sXQGfkQwxOI@ID>[umIiCiHkKDZig]Ibe=isEVoIIlKB@UGBwg]uFgEvGAvHacG]g:_hB[xlAyUybJcB?cB?tRGtoj<NeARLHjS`k:mXZutMySPhQrYuhqkWhk`@L^DsmuN\\mTFqUjEJVtPAlsrdL\\IK`UKAdk]YqP`vwqj`Po]IO\\qojqwJPwPasfmWdyMulp\\yk<Yg>_JyX<uVY[d_?egShoGeBADkaV^=hhcuiaDZmDqcvMiFWagpsctEyvUS^]w<qsMKumkBlcx:ycG?wgwEjOygkfUIRD=XyUtJIrB;e=_xWaGkOuWmFpyVdsUuItCEt[?gXWENkd;cxvOIliXh[Eeiupub@KuMIrEwYTIx<[TgADHoxRGUVohKwuH[e_aYWASbWei]S@qGAAs__F_whsOc=uTJ=TJ=Ifeis=IykCyETWWfF_gRGdn]rqKygCrJKdl]VImBvCWj;Xu=fuWCxExuQi?yxdiueof@=hewtswwysdokSS=yxUxmuUZehoUBKar:WdGEWKuE<[vJKHMGSmAD@gv@CRVUTn?RKsX?wX:_YLeIY=gcCySEV^Qu_mUyqspiSUOwa_S;SGP=XvMT?Gv=[IDaSmKFKQXPmHaMyVSeQUUZmRZ_u\\mVsSSS[Sb;RsmiAaSD=WoIiD]CyktK=sE?V\\cDNiBigiqWv_AVWQwwWu[OgrkFrGBZiyZIXKOfdGhykis_YPUtRwYjkvQgRMOfeqDeadygR;ER;HtADnG<MC@RAUyixYxYpmlYoYSGUtedKGiXwTT^<qkHKmlvUUKPLRgeMKPkRhLOpt<TPFPJ[aK<Dn^TVblth@kuPruTLfDLZ]w=]OThMmlojPOuXTRPsUyX;Awk`NWInE@unumCDTyotnxxuh_DnmlakjisIHkHhgkwbGhpT@llhhliauGngG]YGtBYw`Pg]_`MYtvFpuvdaqZmN[;ItlPxSXe<gxNYlt_pWAbh`vaYbsfy?GmRvukimxWbbIOSCPsIRwUx_g\\if[cSyaY>[Ye]eoMrtqyW;dRIB@Gy@AwouWbYEeCepcsYSXcgXhKtwQxVedrwsNuC^?fZ?fj=UjqgXcHL=ecCgBqSUorVEHHwxDuUuMSH[v;GGl?vfayX;UmoEx]XaybYMY>iHWurGQbQsHSoxbax?sFf;IOqeoSE`sSCyRMCIAIhvesJIBqCDl]VViDuwHFSsJaYoEHxQCbkEo]w==YpcSeGXlaVB_tE_t:uUJGXkaTP?wlmDD?IcQu;_SvKsLetn_G^yxtgWUCyPyIx?yagVeuUTICuevqUCN[s\\mddWSv]s=YvxoGi?Yi[xgGCpgh_MyAoImiRlID>yRV=s`stP]tCWUHYx_Ox:wyRqvQwdmyHVMdAcTHsX?b]GDeuurUxSyf=gdEMiWoUMAcb]SHQflSxFycVMex?w\\QgCYT:yxwmsKgGRSy?WR@KdkWWFYCNahvIr]ARxqGcOwggVlCeR]G`kbdus]GeH_UhsVSmdP]e`AT_=TAWHf;tf[Yb_WGCiuur:UY>QgB=xh;x<gwI_INaYvaGBEc<KgXWwRqf_AIhgWS[Gasi@uCUGF\\[vwMh?iG=sem_gFWXxWsWMyVQeOwCGeYXkcaEwXGhgERjsbG]h:aSrLN>MrJaSj\\MSdUiEsU\\sLmT\\ITE@RTaXTElJXRk`sh=lATtpTpftxnQmaqwltm<`XoAtq]XRxpk]y_TvHUU^hmlekyMsYTNI`uwQx=yOHAuAxmfHkquoS<Y_EtZQqKiK]Xm<POkukbtkuPj<PZ=IkqHkqXaf>xJPg]fcZonNfyD^h;Wqoo^a?vMGiKG\\@N\\<`]bwsfVwxiuwfvIhydhrmGxmQgEhx^gsnOilYpQ^movwFXpZovv?_NFfQXvxNd@O[yhlXo]YwlTWhly^gos^XkAgeFXj;phZotHXc^gwVXh^xw>Qukgc^N\\KQc<Xl<Aq_fj[I[n`ovaehVuYyeOA`svwH>tDqyhq_jX[D_iFor^XwtprH>w?flOG`KXgsqp`obJadmGaT>ZwVipprS_ZSWiPNh\\Ia>y^YGhkxq=>mp@wPhajqrHPgWFtnn\\lXZ_xmPqlO_nZFf:pe[xnUGuBYt`vmJ?]gN^KQk>Whggcg_\\\\NvxOdwpp<Pj<T^IcZoVcqFloxj]gQiH[GIaIi;sGNMSLYXsauTixeEVSYXi_IwAEjuspSFr[CnYYvCeb?bekIkswdWWZ]ureX`sCIkyFsrlaIIQhfkFMAsvECvUceCx?ogeIF_uTHux[Yc:[CY[hR]uH_rZYfQawuIwIKGuyt[QwkSBW;tUYBGOFw]rlSvVYrEKsDoVl[VosbbIevgR>QYMmIwGs:yVToHDKTWiho;FMET[otTErUYIZsF<YVn=dECDAWDNKb`abQotZiFOCuNWuwAwdAtsADsoxDUSTIsrurRgDSODYsyG?vvyrmssoyWhissos=MUqagnetyGEQshdUfdSxO;iGIgpauMSfmCf]_iiSHjksRSH[_YFaBg]gRYU^yGbAbN[DN[DNkCKkuhIe]GrSYdlQX^oS[GCoEChkRkeUmcCG]TCMCt;FjYFqmuQExmww<Avpgb<MBrkCxAvHuh;GWfireuItMy_sf=MSdQDBQTUag>ev<ytbOtdCGLGCNKFnEiUKXFcb=mRVIKwXn]XNS`S@YvkMxuXwl`RPLxo]YWMMpTnRUyjpvXMp>MlRmmntstXxa=N]HlWaq=togPXUUUFAkZ<TF]Lbxv;xwY<U<hmCQpbhtJETUETW=YDTlcynmyog=simR<mNXhSsAw]HVaMOaMwYIjG=SmXO]@U]IYMt\\sorAvadqqLWg^pbci_\\ox@of\\Fipxf=hiDgvfqpDps@n`\\pjOOkiPvgp^nobSHnnhfN^\\N^\\H``>VeAngZvqMY[WYqZI[h>mBgoGWv_yrY`]yYuuViuoxPQelown>\\l`ZGXlIxjsxnF@aiacBhbsoaIa_Mgfhf][OvH@uxhiuitQweWatNahcinQpsUx`iN]GPqL>c\\iCkSc_L]IkMYOFTRB@RllkI=nimnDqtcqVe=jndUeHWUeKq]yyIyMySpdwdttG=m`TXStLClnX@xKxR^PYeTKfLYZhrM]ok]qPasKLsIXnFHkHun;DRDLyuENa]lAUTwmpealeQvhMt[LrsLm;lMsmVC]JXXon\\l]xputONls?hy^uY?mrm\\p;UyHmqaiPxHpTLt]@U_]]x>fYHmGyfeh^uvh_gieAaiOreyiHpdiavKHrUNvx@x>anFvktQxXQdwqj<PJ@X:UOL`xLqkVmOkXnQQNlYXk<y]ulWhx:YxfdY:lXhujaulqdusYLeXwoIXC`LZuOX\\xwtK]tSttw\\pmyeqpdUUUKT]ThQrilRWqLpIs_yq?@LqEqnDOGMStev?]N:`UapODIn^lw;=LNqtPqQpAu]=ytijQlURXQqmwOuTWelFmNAtJAtSxDy^Mu:tl[=NGPrjiYPevVelaQq`XliTob`vuhrmaVUDl;hMe=tRTL\\XP>es=lY:DUOET`HkDDVD]laXs;hP<EU?avHQsIttY`PCUmJxnZIK@pL<Xo`=VxqKBdqbhpeQXiivqtUuiMYmtRPoRDuhuTQxTGeWXPr\\LPeAsmQJWAt^EUOum]iu?TRCHP;EV:Dv\\il\\lwDL;LL;@OGankmswtsmXxV\\K=\\KM]yoaww]xQxXFEY\\ESyuUUep;AYhxOIIY>uPIMqjQLrdwF`XWeQxutGivFAKpMyfTmIqRfajtDmAMlrXvbTQj<PZXwtxwuYw^lwyxyxqmXpM^UxqtuvUPlAyPplPTrjLXs`U^LLCqVmPj<LOFtQrASrhSGhJJdk@=NPTorly>dwoyjKpROHmT<yslsW<vHpW`<qBhRMaQBLkmaV<qKpXSFMvxlu?xSoeJMLv[dksQs@=oVmnYunSqRuURpPLLISK]yRHsZAQj`YI\\MhXU\\LlGYV=elGhVGttLdQjej]HJl`VXEjVulThXwqTipsnyurykXqlVMuXepgeR:ij[qTMAyiDuiTup`qM\\PyxlulJmLs=TSnQPH@sxmsTPrtXkdMjmxRlmNZHSc`SvdJ?dJ?XN`Qj[HRXHJaQqIiXGaL=lPHdywEYKhJqijepsRaxv`TNpLHlQ`HpgXKilR`<tvijymk_LL;pNnqJGMLs@vfLW_<l@]juanZ\\KYpVWISM`kXUSkLwxEwIxSdXxy=WCXq]AQOhlOXsQxOAyLq]ukur@ikUtlfDU<XwqiwUyxSysxmpwhqwEv<ijYdybyRapSWPYVIXAIOPqQFxmDmQ^hL]IYoUNTDRmXJytosEUVEpqushQqtqJB=k^LR[EPuHq>HyHylLHkS@PY=kjPyx<P;qpd`kDUSNmUoqMXaxrUoYiQq]ufEVvUqhhVUMojMwktK@AUXXQyxwTEtXiuHdplqLepouAjslrLDXRMXP`tj\\WSxOK=qsaxqpuG`STIJDYe;GB=ILAtRorKgTuagZqVeuWuey[wFYgUlaroWUQMI;shokBBMsWoYJYTMkgrOE@]HK?dnEb]=s:]U=UxocFj;Y>IcuogeAWQeSUoHGAHFGimuv\\CFUeitexIqYpYhUyWygESUY?eR?YDI]I;WWjix?uDW]dHufy]y]yEM=b>KDweU<siHWfusdkisrQRNCiOGfjQu[QgmUEd;tiyFtUbeItLAr@Av[GTM?xbAxocHLSeAwW=AFxYfX?VcMURCVHYtTQg>=Xt?taecuaYj;vJGYtiFpIf?]Ge[r^MfZyRoSte[uPKv@Av`mULgGkQIgyT\\St\\aGIQF@uCnMH[GwHqyjqr]ueWsYQ[HpIbUCByogAuiGqrmqthURNGYCCVUUeh_iPqFOuuvUiYqT[=i=QXE_hu;BWMYD]EBYwToyV=hhIepwdPqThwBfArmIB^ayUWIHYIa]ycqX[[VL]UeaDN_UjEiFGd=gePAGYUi<Ob<ORC[uLoGm?vPACXqslwbPUW;=u;URZCeOcD\\EvH;uP;EhCYtgRVOFq[y:yCvSFj;eXirv?CmOdiog<gWUeVYqEbeTg;HxMbiMIt]IHSGYWvygyoavaswT_Er=fE?VbigJArmIrtWtyIvVgRQOrkYX<qXTGR[gDPGgaaV>mW^iWx?Ee_X:;GS[yOwgwyW?]u;MCBavmIYMMV@acSsHXAY]UR=UrUwWxGYaieqMFSuRPqc>?y;yBY[RtYcUgejMrCShausXsIx]YOeTOEvPWdv;EDgrU?wocwjyWGuuK_gMSWAye]SG<sUZUWkGgnoeNEXjGVBylndmTISiEpkAypiuLpWCqQ;iO=ALyMKtyQfmVCYY[twLitS\\JFap@]PpDRt]OnuqXxKr]Od]lQ]Tvhj<Eyx<w@YqhaVyiLF=tn]NlMnnlNLfiSae@qk`@^`PhXnk[>sSns:_Znx\\Ag[[O[licvwfPIs=osOfeo_^CF\\mOftOndpjd@nZ@nj_r[WtRps_y]MVtV`kcO^aAkCGxCnf_gyvOx?xfQpuqYmTqqwHyVAvmfhAyilyyxooaX\\uv`f?gvxwhiti^awf[SWq`GbZAqVx^MilOXt`gkrvxv>]oNejphfIygf\\nQafFku?c=GlUPhC`ehvdSGesili`i?vtYghOidK@c^yixyvyoxfIumpiwQyxpqxXq^>huIimqvWxixuCyFY_cFki\\Of<_iQIb>cwj[VjyYM]bhkXUqGVIVRAVfUBKOX^wwr=IkAYVoI?ix^kXCwu<qBMcHccuCYukwUn=DhIbC]CqWCFoRpogeXXExvVhR`lSWHKmysDaOhUPsUMTIvKpxH<wU<jNeX[pQ`TKi\\KAPVP=QiDV]MremsoUTm<XyEPXDokTO;xV?HsXtX[<wVewiHM=yRq`rEAx^Isd]SZmLv=J`=W]XOuTybTjOxLqtp[\\NZ=rMDVjljEhm@pXkHX\\uV=AyYyWWup_=piaO]pqopocauNIO_HVSMKDLKDnuM>u;xdCyt;?a<WkDX_t?c]Agfqn:Xhg>_hwg<?n[FgAIdR_iSYhGVt:`Z=`jXfjx`edhog_lqhuI>yB`eA^wTIZihgopioWijPvIWl:OakihyidaphnatSGky?QGsM]gPIhlytocuFOsCyTjavIATEMF?OrTQwTkEKMvH_sO_UHIFseCwAtBYWaysYwcEYyiyiYsHuEx?yDIqIuawFmF=ErjSS_;xMqtPqtCUd`cujUrG;y\\CdB=txSRHWYR;iumHUgrY]c?QVHWvJSCAyhRQRD_e;mtHcrbKElYiMWXWodNAs=CD\\EC\\WyT_rjcwBKcDaShWvDOw?qbCCgNuWpuUwgfkurYUxLYSa[cfEsOmHTqhcKfU[X]ysoAGFkb>[fREUl_SbkbJ]DFsD\\oys?Yh=wAeDHgCBYYU]TKYxcif`csjsgLugrawbWx=;CdGULQDpGEMSDikdLwxL=TJ=L>Hvsmq[Lsm@stuvh=LRPR=xtJImeIjgmLtlXWuPflLG\\YqTkNqyXyUixYgIwWYUPqmTdtolM:xNdQqrqqU`mwtLH]mAdrJYJvajc=nLAu@HOkunrdxvmU>EQM=NrLLqMYKytQyTPmT@XwuMYtmqjiji\\XquXqyxqyjn]m\\Qukiw@hKUlpgUupAr=tKVxYxIyYTyRyrHaQmaS\\QsAxNv]MUmWUqPkIwJyrIelYUnKAWRlyxxmkML@qxvIUSMyJ`oAHpuaVS`Kqtnu`kEmLK^[vfwBYoJPmqppfQkPytmiixx[`QsQ>fLadpots^uB>eZHrUW^JYkxd^eEQIXggGfOYPObrASeoCFGhj;t;KiB;eCAWhuIIQyV]e=ACCGtrYRx;bBCy:[DiWId?t]GRXwveUyfEdeAFaWSX;tQWFSuuS[wHObwmdpKt:Sf?gHESMXMUEaT;XwDLKDLKAtJPMpvUsd<KAXt<tV`HvnLwP@sxelvEQAiUVDts`o@pswtLQmr=TpjiWVAuKXxYqShlvnYKihQAPkHxtZIlWTvviq]ApEtxG`oQXYmLQk`olPuuAxA=V[IWJUUQ<xZXkC@x\\aJB@JCAQOHWKPOkdjcmTh`uoUr:@qMXOT@SpXwt`nEDSvpLSUyexoxPqnEwLirExLyLybYnCaVl<K@PLbLmTPmTXmUHlStqkqrUTj=XjrpJqTmldVDakSTP@ekTdjfDMSiw[=vhaL@uk`hJpTJYQnGAPj<P:`TXTMptYxaY^ewrqLS\\Y^LRfPpj]k>UqYXYhIQDlUITV`muH\\uIAukXVeYweIOShlBXQXdujYsdelxLX@eTIev_qWTDUQatDTupIMFDWvlQ_pqsylaTjmHNMUMYtt^MNsTNbPU?Qq;Is]HY>uMX<UIlU[AWU<S^io]IxjqUteOupqgXqmEUyYMStPIaxSUnUxrNyRdaW=qXKqKNUx^PKDL[H``DgaI@cIagEq_jfi[N[AGZqN^xiebArrIvpG]KOcCDqiybgdVGXgyf[Mr>GtMqF<_x@AFKKHD_sVATwayjgFhaBvOU[_FEKtS]fswhXQYeuWiuGlEx<dmk`WpTkViY[Qr?xnVPXDaqsUx`lSV@kFqqwhqwixQyUYiquuxqmqmimOTOP]unUtG=snuqoioiEv@AqqXrZhO=XyYMp^Es=uKw\\XqiuquwWYqQtu\\iwExqUAtJAxwywyuMUIUSEUC`jU]uHpjKMO]TjgtqpQueuuvUxG]V[axgxXVyYddltHv@XMhtqvQxDPkDHvfDR=AOe`UH]N^UPx@TmuOEho^qY]@oSEoI`spMr`isTtlS@wflNvTx?`PkMpGipwioyMtaeK>MV:MTExNR]wyYwyAxHhuulp^xxR`urlOtLqDhTSmmhLS]mlB=srQYZTqLLNyMw[xQT@l:TO;aObTjZtKeHutqUXyyoUwu=lBYRgpKsAvShSc<kPesOYs@dYYAtrpn\\\\uO\\LN\\LHlYvpM<=pyAruql_DrqtjPAMniJc\\KaMWTHwemqX]Vc=qCxMniwXiUppyGEMoAwCDSChoUXmVqSL]KMDvi\\qYMoR=j=IqWPW`Yx`Up`ITH]QcXPBqv>MXZ]UrYX?`l?poOLUaxJ=eOD\\NixThTq]\\SVIO\\\\mV@tBMytXquxQvIvItwUypILS>XTBiKI`JQDkiiqqquE]yX@mheXoex<hJENywVipAvqDukXvQwQuitGx@YEKwwXke=SurGX]iDQ]U;_dw[IV_UhsbggrP_YjYbY[ixQyeyWsgvP[iQCGvieH[bF_tr]IxgYuqXIYxH[iy]hX]WUqSagbTGGhIEIISrCRk[uJktZkDQkcC_iTQrnKBMQyWownqrogIgiwcQgDYbZcUF;u>QhkcG_eSMGYQwBxeGeGGvqea?ysIH<<LRdjJ@PkqXJ=oGhJJdP>iVphpBHWG`VomJX]WGXMFHorxR?dJ?dj[UPlYPbLYYiyXquqttgXsyEyYElKixuDydqj`YvpaohixlhLBUr_tXQDjxPmh\\ykIjUHWYUp]ewtHxohXvll:iPphNrXJQDjFLwfpKiMvHLtWqYSiVQHNsqNpUkNelnDVjiwsyvYxQ\\]rBXXIiQqHpkHLQg_Cwk?NklVkN^d=X_iFq^QlyWyqxi=F]@O\\tyw=AdlYb<NxQXlLX^gvhiquwYjY^y:f[@@tKqkVQmNwebn\\yqxUygyArAna:on?fZOAld_^g_cpxZ_gpLvrgf[RH^sActNgVi_hojA_\\@YqIVrffdKFr\\Hnwh[P_b@?^uqg_IaaQrIoe\\qoUafeAtoX`W`c:Av:vc`^ai>pniyO`fXQjLNaHoiqQeg`e=fgQvwnFrTOsQw[lasuYnOpajaneVcYVhcf^^f\\__icGbbQkKy]O?\\I?\\x^q@XsL@pi>uoYkOwx:atZ@`MVv>VlDyn`@nTaxoW`JiaMGyUi\\N^<wi\\wigKHhiyPGBI[HPKSlQvu;toCflAc>iRraT\\OVfksdMUHYXg[vmKromDjeea[fY]UEIc\\UctSt@uhq]TtWekeUIwrggEuGe;YGfkF\\mVrkGjYuk=v\\khSqtSKxWkHrwCFssLwiccxtkx]eDNECOEydmbSCXAmCt;Ir;YYiYqIFseRXOS\\CcrOXPagSUCQkGvaxawIWUTMURUGFseFKerLuYm=G<ocUgdOgd[CwImFM?SsuCZ;hr=XZ_FNEFRuFgKCTyITYEIeIoaDKaxdQwdyevava;W`=V]mwvWxH]YGwrOyuYyYGiHQaY_YGYEilQseCWy;iM[UYscAIxUexoixUsHh]ipQueuGx?y\\McdIr_CE^;SPIxr_YYys^MH]yrIwfFstJefXgCEEIOsuqAehkGGwRK=sogXa_UrIRrIyqAeQyG]MtW;umWEdYE^GWxqeMirkwwRuhgeyw_yK[Ia;tswh\\CdxCYNIS_ItnOYnocS;y\\_B:?eRUw\\eIPkuBEy:[WngrjEEgEgWCWKeD:sU^gEumia=wd?YXOb<Ob<If>_fP[ibOw@_Ex?ehmFvCvVCECwvt?DCgRFCHJyVwsHd=DSSCVuskgfHWI^Mhesdw?X`sD@IRLqSrmYX[Yi_r;UD_?ISCVt;S\\yGV=dTOX?aEg]rW?WtCyTyVHaesKX^AS^MiGcCGSDakS>mgF_bOOwbCTtkFlQUTQHNyWkKcsqc=SB=;SyEX_=SmEduQfS;DDYgyidZGWZKVFavQsyWywxuhvEyl]YK?S^kipihigsSWHamyvIynGX]UV]IUaeeo?YkQvY[yZyBUkHf=UkOV?IGa_eLQtLQRAYSLawIoItAWAuRAKE:SVAqcwCy^YdCUxk[us=gVWRu[fBOeJQESkd>iUQGBhMvc]xWEx<Qh];TUUemmBneGdMRy;YWUehiyWUwOsE]ItDABveecUySuttYuWKBj[vD;u=yxvGVfgiw_w?EDmstrwCnShXUekSHR?hJaehkHIYsTGgX?IyKftYb<It@sRJsXgkrlmd;yF>chsar^yVqox>eX]]IYCHc]vbYXgGI@kuviy\\=HcYvS=tr]BNCXQ=TJ@XjAYu]OudnIdJhXs>PTV`KbELfeuEAUKTP\\LwWXYFaPv]UO\\Nn@RjAmxqUkipXpWuuvH=YvIXRay`\\xnymlpxCEtwTWZAXIIKvTkCaQOUr@IpuewZ]ptpXNqVaXTr=O=lr\\QqIDOZIS`IKh<lQhmtERAqj\\Qu_pjFmTULoDPMoqKFAOOlKEDXAMrgYyxypyhygIUmpVW@X<IK^<kXHs^=lbTLaqNw\\rJXpPP_>Plr>ydQwd_uCOaWpb`wcfo]Siw[Pfgaf[^j[IwbObnghogi`Y`YHrpOviqynynyfqZQjE>nbqyAycePod@lrx_V?qjn]IxunWtG?q;Nu[vtXWig@xPVs=?bDqiwiXiIwLRM]jvEy?xrCMqUIOXlj<QvEeLlMRSux[qXGhUIYtgDTlDSBLR\\DlpUXZAQKTQgAqSLuZetmysppYbYNHXwV\\U]YNbEKRpLnqX=]LYlVyeuHis]Um@MoAUwRAjayJPpSIQPEUpNIk]xvvEPbxx?awfHTCQsFdSxdxhtJM]x]IQBYJ>atCUTJ=TJ?oSaaQip<P[]@xN@]@Nlfgm;ou?InW_ifOw@@mKwxl?sNOaXhi`isQyeIpqpP^m>tYAqoicavarnsnh_wN_Dn^tAvrIyR_nFHi=N^Phtq_]y>ocXmPGioy^epb^`jfakU>[OqxcX`;wdkgoAW]kwc^N\\hXwXohSifOhlOH^YX^QHa;`xTIsIfchIi\\Vw[ffaP\\??yPP\\Lw[s?gu?[fo]?GqJ?otfofwgiwbPqk^Y]yNbmHjfQ[fg_?ptFGmlfZqns_QhNgto^pt>h_qoWWqji_xG`Nxqffa^Al`X\\Aw__Oq=ip@Vl`O]KvePap^O]BP]FofV^oB^suVamPvSVoq?\\nVfFAjEnmcG[hi\\BfnpQfFXa]V]UorcXdvQpQO`]@fBIw?P_ho]Yo`t_jPgqEiuAo`sYoshcmGy^`]WA`p@u@ilPFaS^vKgxFi]O?ccQv;PqKyywWihXqIqxA?pDxccwfZQm@nu:xs:X^ogZV`lAXf@gZBH[Ufl<AnZ@nZ@hj`wvwiJAleyvWFrLImfqewo[xfjRXgsVaB^sZ`mnGuqix=QmQAvshfjXgagtEwkOGhYNjHG^iAs_Gs^v`=AafQvo@sAnxHh]UWuRadupv_qqwWgDa_UvyUwf_ncXHiV^sRfeRnvofqWwtlFibov=gpKgyqGtFHdka`=AkrXdCPnTPmT^fe`vfvs`Wp>_u=Q\\?_lhI[_FcS@y\\^tR_^XWcU^jK?v^ykifos_xQqubQp`IdnN]_``M_niiqwhqRqcnx`jA\\jWjlQxlOy?Ij;HZ^?x^awYAqkW^SN\\BWw=got_uONuRfsGisUopfGroVt`hcEfabalLQcAQb<Oa^^xx_dVWfGWf>_rkauQ^kEVbAPoTw^u>ca@to_]RIp=xkYFiJvr]XjPGgP_m\\y`Vi]Uq^Voo:VZHoga^pcxbeAm;xv^yDmtomCpqGE_V`]dOweYSeRmDCmH>cXlIhqcH`[IwCfGcgHud<Ob<Or[kFdmfRWHQ[CT=yBIiFoIi;tbaUJwbxGbXqgHatDwTY]YfIhDivIivlUBMMDKmwHKFqUdKiiB]rG_cMwcS[sLQvOYHH]gs?w<;EmkBxuxuAywUiWugG[y;aRdcClofGsxvkve=SVIhesSTAFoeFNkcXKvH_uqwfawvMseraRhsd=MTU_S`SyuYyC_EAMFKKCJER`]SH=W^WssaYXOV\\Ix]of`ofcST`_cUsHHCumUWeUGlOW^winiUVaCYqE<aDOMxtYfC=R[qG^EI^]Fx_x_wGwUvUsuBccJKXvpL\\qPeqtgXNTuMhDlJYTr]KXdPhAXNAoKunWpXTDsKaj\\HP^Yja@mxypqTjx>smxgyQcrFiYwtn_`DirfQ]May:Pn_a`j`kpv^UWjInnii^uVq[GyEIuMonAgwB`moWieh_Go]qG_jqebHvJ?xAYk_O`YajEIt`WtnhuuveevuGn`KghBIy:>ZZRLCTJctXyfo_T`eGuCF_;g^qxnwRMIdyAgLQeAeDPeBUkHeYIxATyAgVSHrQSIwYiUgoCV^AePaReku:kHBeHOEX?GIqaRW]V`OVVcDN[DNkCHwsN_GEmrZEdJOCJ]DVufv_TVSsWuHoyiy;SgGU?SWPGEwWuKgsGqC^cfI?cCkW[_sh=CHYhVICnmVoaEqswnycw]eOucAOeT=gQkuF=YbIbOqWjSRQoD;utH;soqx<eb_MUKERi]yDoYG]CPQHmcgJexVoVWIgNUgfMVNyETuEBqeYevkgE[MvH_HNCehiUqeuOkg[cWSCdt?F;EflTSNdjHuXteSNPy[xjXLUj@V;Lx`MyN`MXInvYsYuKTiO?<rZUxLIwniyqyuy@WKQnhpohxwyuyuYl`dStlU<PvZYQuTQqhWUqxWywxuxXXYhIrqxmyayayOy`yl=OCDJTYpauSAuRALUcTQp]g\\YkinoTgpdGsLh^NgeoxpQ_fu?vHvsrVvFHmmvfPatNAdFXiRFZYN_Ia[e>eP`_cQ[;@cKvfL`jANpbIhGgm_wr:Yhvw`YodXg[Xx\\mx[d^k?orQat:Ow>qtCwoSXwEI^o@p\\oe<gZtv]e>t;WgeagA@aAVcDhydQeOOolavRas:NZW^hVoZx?nCfs\\F\\Bhvt@fdbe;Gb;ONalXXyxTxS@mOaxvHrpppgUwq\\WYQqgarupWEyvtYosmuNaWJaQGXy?lnidx[=mOdjtqtstnWHJMmnElLXQQ`Pol]KgqS>DRrqY^ll>tnMTyous=qqUatSpyHlV>PrK]RVIl@pwXiqUDquDsqXlN\\KWuW^Lps`UHPVNMSC\\PsUnc`tKdJIAvptUsQsQMWeUWihqpQuEpOt@kpTrIEkDtML<L]tOOelSXPams>IkMDoHYwytymyQ]DOyXyhYqa\\SR@piuuxxQvIfhGq_q\\lis]qrahmpOuBH\\]>gy^fE_UYYikhj=VZ=BQwFY_YlcYNscAyBAsBC]FxIvAwExqsqmimIwIuYtqfUoW<yE_SH@_RlMrVCuqabLQyf_Vy;dW]DTAB[=ELIrSUI;SFIEibOgPcX?SVIQe<?fAuuqExpyeyqXVuuECD=gtqyiBCicOUxwS>?t>KvLaD>;V^ofu=FMKV^Ed@;hDMwdOdkgeqgRr]sy_xw=D\\KyyGwawR[Kt@Yiw=v?OHcgY<YEu;EU[xrwejOs:et_ME`kGWkvDYi<mIKiBOmXWSysuHMWc>UVnEbWmBHwvw?rp_un;iNKs_WdaWG:?YfQsRIuo]ghkvCcexaEXqTtcsZQvQoBFEUKuTWWV?cB?WVMcFxkv<;UCoBUSGc_FDMUhErJcrlihLoCr?Heess=roQDhgS=sgesy[meBOVJIdh?vYmG=qBA;BsEytihjWXiWXeytaCiwUd>ugVSDOcHvaiCQF;GtTyvngi[QeocxgSw@mHnoST?WWGXdUwRIXHeRo?vIcbFUHVyhXmv;GdoMiHwI]uHN]WhXLiTSrhvk=k`PLh]LvtJfEQDUMSElLtneuwFEMSEriXP>AJyqSGIO;Ujc\\LV@oTdjP`jnhKYQNiXR`=SUmlP]JtYmJtX^HkGdKGTSQpO?qRVAX=iKqaumuStdmhMWdMqxQyeYUUUUeTOeDk>moUuphIwaxmXapcUt\\irEHxgyjx\\x[XLH=Q[UwPioixqxQYUUUUYWihqpQsetoZUqi<qZQjhqwh]VqHLCXRRhnDxV^uqBHylPplXyiyqyIxAyMY]pbELhxs`UpbUPJTPHDOxLuLtqwiwiuVGQm?]ns\\LRxrmxkYuwcIw[LXIhSwAvAtQRHs^=xaLxsayLhNE=OiexPYUiergtOuffmnfFArw>dN`ac`fX^buI_hA[;x^GvcrnybnmbNslhnuOn_hn_pqxpyJVqmYhs^y_G^gqgbGjQ>gEymVQq`YZgV\\a@ru__Gpvjaq?ag^gwrQiYooWyxvhvwXouPytX_fPy`HlGojK?ilhvgV_wgydo_g?e<`v@a^ewlpq]Xyy@@?[w\\iwWog]KfdcXSOEKCWbocQUud;vCER;ER[AfAwUasEk_Wc?E[[yX;sYIcDyBLAHB[HZIRJCfKsYj=f]icQIvGpWWAqcPVuQyGYWPmOB]n@TPwhvPTv;<TvQqK<X`hRRexB`X_IXadSS`J]yNHHmVQKRImq\\TgywBYRhysW=v@lYTEPaaj?XP`XkxxujDNUYKNetXxwaYvK=QJ<kIMLqTRd<qfEul\\n`Itb]lVLp^pjLLYkxK[ywX<SAimB=xlivEIloXNq]yYyywyucXTaPNquNuTJsYOlYsCXLalqyiyiyR`Qy=yMxAxMumtatixYwYwsTX`ayAyYvyJl`ygUuphwVIqmYoYeydYTIeQoYkY]y\\mxfIuMynIuYuENLYRZUJuqYRmoOPK?eTOeTGMmnDKUUqtexd]UIpV@uRAuJpDKSDQWtt:Ar:eR?eJ?iw>HJy\\XhXrWQNctMqlWVyOyEyEMxyuXoeX[IpZIJ\\Ij]TuxHy`YmKHVAYvkIp]urLypDesfxx>LocTkilqyiiyIwIwiDph<f`CplrY_b?aWwhWihAFfO>keA_oqdGQ\\uAqZa_jOyZOwRas]wc@afW^sZwx``w`hojFhTGrjofiQfCwq?yfZ>l>@[xxgqVaAfq;Ylmya?v^Afpu@nDyusX_poqkOusntkoa>npJW][AgJplra\\NnkFNplQp?_nwonCinhV`Q^hAosc`vEvxCpneYZLg[baqZar`gqfItqV]JasU?\\UHao`iLWcjNfBawf>ieIsOff;PmKGdJ?drnh;ix[HCwdFKc__b`?wouDUmv^eC]KfSebsQWY]Yh[bneu:WWBaiooYKwY`gV>wDFKeFCHEKWI[VZWgE=S;iwWYBesT>mwuWtTiyDaS@gilGIt;XZsuKAc]KiK?VVyU=SDJWIhaWCusVwHiovdwC=MiVKFP=rwecCArQuu<mY]EcCEXH_DCsrXai`=sxQuMcgFGEJScJwe@KG>es>aUZIbhgRb=cpSFdQXyibZ?GC[FSwEsAsA=dnqbKYv>awMEgNKHI=G@gfviWCWILetWUipeyuyiyYyWuXWibnaxPYUieIqaumEfrcHJMGF?SkIFY?y>yFpiwUyX]icqkyQyYwyTmUXmibQkURuTQubikiwiwiuY`YHYGUt_XcYtIuIw]ykyrQoY_AT;CyqCdcAHg]xqyiyiIxqGkoxdQwdYuiuiWCgvkhvEx\\irbmYnqxpqCHkCXgYpIurQyfWhHQFYUIXWLBAsuIwNtyeyqxYwoxtXUQ[Mr>@lRUNKyyhyXyXYkirQTvAUWPao;ixq]ukuR\\DlrQvQtqB]YW@kuIrWeXblV?<V=QrjxM>=ouUjQ@jFQl=mlvQUYuYTyJiljaobj>iGPdIw[px_mg]vFx@nmswt;HrxG\\PGneiysa]?wtjApIWlWYlt?sAXoeAnrV[fa\\^@umPfhfrb@fcHq]xfUIbLIZqO_Uvl^GhkN^[fnQGpfQ[DN[DvZy>hlo^=AdWGli^^@obEh\\SwqaiotOvk@ylx\\XAicGuCoZiYwSYudw^Vvh:XyHHnUOnRIq`GaHwqU>rNXpXyZAymjFihafBhr[fn=oaaAwVQ`gwtqG]jVj<fh>_ve@s;O[^Ha[NxVGcA^sinp>WtWwrK^j=atGGumxZVXg?f\\CgjyViSFaOf`dHocHuxhiufrJ?dcocta\\cf^?amYN_Pq[AnomgplgvDOcHgyTytxphXIiaIjFxm[FlAypq@rqiyIoilYlsaixYmYay`ypxhxgHumxf]Vf@ixAi]q_uQyqxih^Gsy?y=y]hpqtQwnOaw?gIQ]?w\\[>sV@rMaxNYdIG^ewihIqaAxMymvava>uLH]mnfJvaXVap__X>chvluhwpXuhqquqwAy]y_ilavCYnAwk@imnixoI^ovqlQsevvGYmA`bshn_hnlPpL`p\\?keVdBHyCw^W`hCi^Q`gXaqsFmFOv?ObEFvtYwixk?Qfuibvy[mnbP?qFqo^xv@FqGYsF?mkFZf`hIAbqOuNVtnoxph]Jym]NtPOwMwjL`klwq^A\\EnpQou`oqGisHAaE`cbvtPiZwanZfpwFxtqaXag:aZfq_fwp\\@pYfc_hmYFiiAjr@m;pdlgcs^qO?skwoSiV[yj;ygueu;HMagiwVOywMqV[QytsgDOyt]wUiYcIElCGlOSXIFXoVeWde?fZ?XfSyqKb[wYrCgf?TBWcVMTaKWP[UhaTPqRdqW?[tIMSYuh[SWU?HfQSoabBkX;OCcWsVOwU[bhqGrUvO=Y]eCvoxDEuDiF]Wf@UdiyRFciTACrwBPoWtCRS[RdweT[EVGHqahfIEmQwakSdiWXSedSSOCEroBK]yg?rkYBE_vw_xjGF?OIdKiQ;eBYvESW>WrKIBhQYHoGmYdR_EvWBYyVF_B[cD@GGXidrWF?supgWU_imaH^CgNSsKMUb?GVQHNOS>MvuCWLaFvUitexd]hj;dxQTXKwVIimUeTOeP]gRER;Wv^UcVKgBgWLAf>qbKUCY=Y[ibeogtptgXUkixQtqrir?UkPDT]IS>pMU=kFYMyLY\\Ika<xgyOxExE\\WRyvxtxs\\P?=x]<lhIYlxPDtSc`SydnpTlituphWnTJDYsEyXgQu?xWqdWTaPj<P:]rwAn_PXBytHmWuMOIUK?AucLKOHXWuXj=XJtQt\\lTUl\\dv?tmVuojasm=utpYWAw;Ij=HpELKsPo;aJb`UQDw:<LlYQWDq;qSbIs@DqbpTVHX]QOdmwb=VoQxs`WEyXfpuqpYuuSAukwhntdUSPpelR^XMDTMRPwnDOb<Ob\\yO`t_@w@QwgYxuMqSqxWTqphWGyyrYmXxwpDmPEYv`Ms<q`yxKEyOlNppLClkJEurMw?TX[aqETt]PW:iX=emI@jmumuqjneyT<nkuOJhVNdRNdqflqR=yKUpBYqvtsaMPFxR=lVUlp]<wwDUZ\\uJLS?LP<PPZQsKqxaIMJTV[=oFAsKXNqmwVIS>u`cIfGfl[@yM>_@xwJprsN\\kQplPpj^p=Pv<IsAvkVP\\Ci^C@n]qfNah\\YtRaxhqwh_ulN]GpjlXwAPwfHdp@_BI_C^^r@gm>^ewbPn]Ixrypxoxo[y_\\hZ<`vUpwi_g[n]Qni_HpkH\\QahoghWYhIiaYvyryrK`uMho<G\\i^d\\GklobcpcM>sjq]dGysxvXXyGxgvWvDX_h@ZSP`F_jXvtY^hvycR`mtgyoyty?x=DYIHscd<eVHKrcwGG_Yvmc_YhdsUAevWWv@UfJccTWHHeHYUYCKyqCB]XuqHj]Qy?mkwqkqtJyUuU@rQDlmETPmjuqyAew\\IKxYoyYtqyJZIrptqhuONuXlPxBtpA]j>xSViLDqkyLlBpLE@fi>pIFekWxmfuZOiYhmmFmsQbjQsM^g?YjGvc<WZvPaZYv?p]MYt<QdfH]YybZvnsA\\DP[>F^Yy[MQ^Nwci@nZ@hfO^eFoEHbsGblogSQ_nonNpy_fqTnmXnxkpe>oZ\\Q`lIhCAwpGcQ_[a?`DXn[wda^gXaZypqm?xGxlEqZqa`kaqRi[pAqs?kEx\\kWcIway>vQsGqrasIxkVvabxod`]vpkgKsD[GgV]b`ovf;s:[rVsGZIRn;t;mdcMRLqdm[IWUtDgtDiriQeH_cNGH][EcUeiICoSEWutRoRx?RMYxRCGC=cC=BMCGuWvs?swKV@OTpmymAfJEetOit[vMwwR_etEv?wD\\Suv[S[OHNuENCC_Cxf]U\\SWAODqUI?ibAgrMEdVMvpaDHkSY]fZOeJiWFEr\\IVj]y[OBxQCcAi]yCKoW]ke]WsisivkDEGVUAG=cD^ed_KFbAcmostSwYmy_yUjUYn_HjYinoINKVAqHMyhjYw^kw=Uh>[V>?vU]uycbkCdPyCWSFcIBwwTheS@MBWEtCYdassYwIyiu^AFICNm@kVxmE@wK<odhr=Px<tS>ms[hPyqu_MQcIqaQVTAl_@NSmmFURPQL@lqWdk]hxAMx]lYK@qeMkoxKM=l<xOcTMnHxHyPpeW;pNsIRFar[unkLQ\\`mOHvAHjAUNO=n<]uO>?sBAsYgYEUkthgcxOhvuspigoUgYgHGShFAtj]E?Mf[=deYeSKbiutFAIcEv>=IsmIFqeFCgNeXsMEuUv:CWywv<Wg?UF<YX<abuQTpyrh_x`Gcs;XGaG^CFCkU[YFQsvVuD;SwlujahR\\DN<DuYQsRMkkewBAR@XUoDs[=kwavZtvHimuqXs<S\\Hr_Pl_yYUMvxEx?yLyEwEuU<yUwqwququ`WSQpulwrXjPYTs]TfmLLmUfuJsTpkiw=tKv<x]yMyAMY]wUypI@YadWsetOuTgiuuxlvyuNMvn\\KVtQ^tNH`UxangTTUUUe\\s>AUf]tbHT[tj`@NP@XLEKS\\YGeSGAykYvQuoXeuPqtPpSaHwfYVUAw<<vsus`UpnQnnMX:tp[TW>DWwlWCEToAqm]QhLyCXjJelCdvyDXCERl\\VwhlTTXnQvZqsRmqZUXMhridKxDOaTsGQpHuQMuTMUqCytHXl[=x_emuDvkiNtiL]ENjYpTtpFUsC<tduPnuUNhu[tyttYUhTlxRIAMZ]TuPngun`ykudXj]uAPLmdOUQukLpapUeXoKPY[qqaMwKltGQY;uv_AlPuSuIl>=rcqTBTqoAonlorXokduB<UhixWYwxHmsiSTQOT@XULnYtmjmskEl]AOhLT]=YodPEAtGANVIJl@yv`YcUjTxSK=TJ=QpEVElKfLVR]Vq=OwMjl]YHIjeXPWpvnhVJXQMiSfQL=@SHUlxEY[\\w<TjgMn@euIlqsXw?xrULQpmSJaJIqW`MpT@q@YJYYvZ]WlUM\\HllhX]qRVHY?ilSXL`xrdUWADr<MsKDKWeN;`O`@WRHU=]KhivhDyW]r<YlWPPg@n;Tud<Q_]pjLno@SUPr_EjN<PnXLvQvr@NmEUKPLcHykyQEhy^AN;MoEllLqPvUQj<PZYknHJp=QvlwBaUUPmTpsrTvFhNEmlf=ujHNQXswIwIuY<UY<Tu;Mq>@uNLXEUlCEjUhuvUxGyoxPydl_YxysymRqtlQxl_eyiqiiiiquuwWGs^UR=URyuYyMFK?R<KYBcT_=WT=b<GwKAdRQh_UCXOH^=rrYRn]D^oH=UEIkCHKv`=uxigUuhhMunGCYutQytiuuxgYnAwKAYHuEs]vKWuhUiggiwgylYsisR]dTOAl@LOKpVlLLpDSJHo:`lW`M^aLT\\PFTOapqULPxmRvdnGdKoYn@AreYwZ<s^YXVLqu\\JAutovh_VcennjNvKiqEi^MYcYfgv^yNOq@qo;FdbN^lXrWimeWv]P]AGwp@m^^x:y`Nwaj^gw>b;?fbaa=Fur_axNudpuJiu@WwMipGglfF_iPh;HxeWrnF[UGb;Gb[ygG_t^xjThlJye^QtXxnShjLXjh@txn\\?awr@l\\wx?V[X>]fIeyPgAqtg_gOYdSHj;QwQwmjauV`d?qluP`gG\\lQrWn[`p]gX]yIkiPb\\Fal_bVnnHWkOWk:?ZEwdCgbDvikFha@inY_i`qLFugYjInarXfAqkepotP[CHwsvvVXhhIqaQ^EvZcPxxHimqvAx]x?iUqpgW_P_oRipew\\L^ucYtaxinYnYfc_PdIgaoa\\lph^WrBOgiHq`QmmxsxVmL>b[`^vYvJ^]:GkgXbs?ZRAf^nwivqvQxAqapI`vN[\\vxNVkYNc[xuqwuwoo>npYFeuf\\<heypiwYbIfa^AaHQmoVgJpqygxexeGVeEf^H@xuoWIi_qdU=xBExroVHaeC_RAstMyCWKr]QINiyG_HxQS\\]t]OY<]erGuAiRpiw<ghIABMyRU_UborpaVZkDmgSWshoEcrWvKcDgcRg?VmyC[obCOdkOFJmR=_c[WwFkT>CyG]YAQTxOvQCuaqINwEuIdZagmis?kEreVSStH_R:EhxWFEObHuIsOs_YEsSU\\WcLQiFyBykUPsUN[GRaeUQyFqT=cGfysSutHGtTUwserJYDAQS>WcCYt]SiKcU?uhe;Gb[EUarW?EusD=MfiGCqmdB?UQKRg;dqUbl[wFUXscuq]bISWZwUfMi^IHRAix_wKWyTUhwIHyWijWCGQBGqv;mY=wUSmed=U]udaOGeSvmovFWewSImMvnAUfkwrmic=eJwDXARwSEbED=ifT]SlytM[vLEsCAFtACCKSLAifcH_Cg]mC@_SEsUpQtLyvICXTQTXkRcaysSGSMrUqUe[Eo[rW?IbifQoUdMe`QuoWWqcWTahuuxh]VCyIxIxIwEr=v;oghoGDECgcG\\QcVmXLafCuUxQxQWUUUUkiwLifEuwywyx]Y;_XsmyvIyoixoiF`Uw[Sie;W<KbLUVKWR]yCKwYwIyayeYQh_UCo_b<ITDUVeyEw]xK]VgiGgcGmoVCceu[vtAYNCc>MbHKgqwhqEx\\irYWyVyv<aF=?Hx_i]Wf=cS<[uUKXw]h=mDf;UJME[SfWcIOibDsDXUt]ExR[Bw=f_cYIyboYgqwgUuHlMx^=fLaT^GyDsBdOe>McSOtqssJ?remBeQbxgVUsUsiR=QHbIWq]iPoEx;FymsjOVd;Vh=EI;SncsacF]mFmGHggCGesvoHIkWMotNsdLCfv[eAeTwKi<Ob<yu_[bmeU^ixCoWJIx?oH=cV\\OEtKT`kC`of]AYTyv:quwSeXkUvwVaqsKwcwIFm;tOCxmgTKOHJYf:aXjqBvssk[slmrwQetItcWXiKIoadMAftoRNwGgKY:CGZGDq=gUQTvKTcGhctS>iMkmysyvYpiMytgXeq@gKQnWVap?vAWiqqw?iflFmfywiynbAhVoi`Y`YHyRyrxndPodPauVamCafJ`oMpo\\Y`Iaa=X]V@i\\IkNnrGG`hyjj^d@PxpGxpw^]?f<ajC>uH_phndgPeoiwiwiuOn>NpsOnWiwgiwixqxQygvpVQj>i]YqdOgdWwhWihZVjZIlAyerGv?XsQx_yyqyYyy^iwQtEw_WqiuiwQ`elGcgggg>svhdv>_nnZP`_SOhYiiqIvTHx]uQuUwex?uDW]B?EYuyi@=U`yWAObkOFY_YW_yf_TMGRtaCZCVpgtQeTrIR>wVMoeM[WTEEfAWAGHFOH\\iEw;HSoVJCWaCBiIfWgDCsUXGUVQBU]YV_d`mY<KYw_up;Hq?R=[IJyidWdqmUByv]SFnOh_Mr;Ug>qiI_H=uBc?vEux:=Yy[g=gsuGyxwB<wfo;VMIUeEIeSyBoX;?xeAxDCSRIImYBjSS`QU^aBh=TBSdNGTwUR_cBO[DN\\M=@wPDxeqWSTJIUx]HYH`TuLPbdyWIuF]XuqXRiqEltyHKimoAHjxptotknPxvEVFlk?ErW<uKHKdTVouoUXNeQmAeWgeMulWLanbIOaDREUKRMVh\\uQLPi\\kvEv<Ux=TqRUub\\xb`mUPPvmQgDy?XNqHsDueLG[ef[`HnTW_sggbX``pgun__nfvGwwV_oiqNPsFh\\tphToq_@mEPrKObVIl=PdZAa<a`GIqmwvXihQieBotYhipIuavmvOl\\htuXqux^IomvotSwfG@]kNfnAwKIfpy^LAwfo`uGr?v\\FImmvvrXvHXnO@ciHsaiibW[OFlNQaT`ZbO_ZFjphguYwYwytgf_gvGw`Wax]x]wAkF^kmqsuvk^@fJhpIn[HN^ww^`iywxwwCcafM?xR=XU[VpIxr]yYsykyEYOYdIgGSEp;FEsyNyfxcxmwewaCQyhn_hZId\\qHesTh_F??Yv;UvAWtaxcaDCuEX;y[ghCmy`?tR?HxIhciSgWV:qg<?rOQBQ_Cp;ff;UIiv?_HnEW?iiUSFMQrAyekuuaMRXorF]r\\iboiywwkhlNKXPFeMl]M\\MoU<M`@skaudiKixuDiRSQp?mvXPk^MWnhtJumdhOn]uBQuO=WuPj<Pj<EjsDw<yT;iju<PyxWiYsy@yyhQulpqdXhIMbIwTtMnar\\dvc@NIap^lK;PRVIrGYvPhSGXP[QnEqVqtk?pv`qn`pRCel>@x\\tLL]kl\\sNMwmHvDTkv`m\\TUOuLsao<Yri`Xv`LxQJ\\qk>@YAqkWdqwhq>iuAakSTXlIsaTNkdmpdWTyQwYtydjDtN[dTGTr?=kATNquRptmDenVDUDuLsaPCqp:`kaDQbQU?uwB\\N_ap=MKbEWb=WraralQKmUXmyOxoveJQYVumwxXyhQtgIps=sQyqni^\\PfF?ypVlCAlrI\\hHqsqvUxwvdmuthgUIyIyaydgTe?X=gvEydQOcraoZErSyVYhkaUJ^xoWPTNUR]aNFTnYlOQ<mQ@mOaVEXlGuMBpK;LN@=TQEoSEXa=pGQlstPwUmqMRHyjR@oy@ncMr?pMBdQclUBdk``J?Ql:@Qq@XStJKHueYjK<PFAqWet^xpP<KYej;DTxxTmMPZuNeljdUsc\\Mk\\JN=uEhjQ=pIULk`SyhxYdyCermAlXIkixwhQw:@YtYpSYo\\`OS=llar[Lk^`Qk=L<LSHQn>yKtHq^arhpRXQM_QXQ=TJ=a\\fv`i[Majx`[nax:Yge?fUq`roxCfgMQwMfuw?vPfyeQnI_ueViQqyqV^MXdOfdwvrIWgfGgciacotBHkMVpt@kmvxlogfN\\MNkgObKYgJHwpXnsPbgnrmHqJ`jn`ja`clXpxAmc_\\WvuKF]<WfCGwB@bPYtjImo^`dPtvPi:gyjf\\jG\\EvjdanT_brafV^akIjLafoNo\\@an^_b^]W`rWFkrYtIwawgsovtZYwUqguhgnAwKa\\DN\\@WiIn[HNlx^[C?_@HvWav>pnTac[YgJXpyNbl^eD@rVNboi\\LIu[p^?PgkAgm^ixYxYxb<iq`gsThheqtK_iHfgI`rTFaqihQieqvixai;QetQyDQsDAkgWdrpx?N\\qaumw[lnyOYoQWlXWagFl\\ymsovSxlYoisIyaymIwrONgWplhyvb@ZLxgDAaOFvcacAYbQvsepoyHpdipSfuWAdKgjN^a^@f<q`myuswaHxwTOqcVdgI]RQnMQpRHeSpoRNyS`e`w]iwpMfZwxhOY_FvcVquwQbuwrhQjPw^l_hufeOvo\\Fb[GlDhdvOqsvlcw[DYyh@nZ@xq?cR`cm>xwfgwQq_wcifphyywwgQWunAnWAt]p^?grJVZ`vp@p_xqbIomhompobWI_m@^X@cN_b;Yx<FsfHloX\\GQnTikRYndgrnOp:Xh_quL?aBOvH`_PP`oFkTX[_A\\cnjBgfxFx`WkAYviG^jgbaNahobOpdki_cGtQp^howaNhsyt]``nfj<Px=a^NyeyQyQimL>c;IoGAurQsDQsTQuTOfRAuHO_cf\\Hw\\>p\\?yZx>x;Himqvowhqw[F^[JPw_nw[flDGnC?\\lXxLYnZhyFVbJh[GGxdoqnqZRQljxfkXjB@hBib:X]uVvGgwwpuFgiA^Zxatgvq;fydp[gPsp>^SX\\ap^UV\\hIuBGjdHqLqnQVy[Q`bHaX>mLY^evc]`asgcJGuNoiTyoQia<XoU?eGIx]wnwxmGg\\XGey>ftp^E?yNfm=nqCfbqGbY`aQHhKoZH^x<G_t@mlvyya_b?qbfkD_f_vdDXcaPcJ?x<Fc_i^G`pxgm:^y;owAaxBw^IntpogRYrp>rbFeX`saymfWa]aqDyx_@^T_]x?eky\\nnxHWbDP]`_\\N^<_BSCi^_Racin_Sq_w>]U@UvNcT\\mx_yb`_yJmsiIsGeXZCG?QbZOVr_f[ORq]ri;XS=dbSGcicGMeQmibIu>uDbGHYUCVArAqCJut>EfK]yscUBArBOrAEbICIGmra?dyKiiwHSmd>oexCfLStSYBKAGvMwDeWZwDpwGYWEtCfjgvFIdxCGpgFawTPmcXMWRItrMVlyTy_UqcVdGUKAhYIErUCgMH_Adcwr^cDmCgMot]wWCYBEmdxGGbSBR=xHGs>uWQobCshhkGYQh_oY:qeVecvwR]CXAMRv?V;QB^CgS_S`Ex\\irQaUmeCcsdMeh]KVaaU<?yeChpAd;STLQwKgCrqft]SNWFUKdfMSVgb\\ae:csO;TkMUlkSboDfkEHeYweY?eR?csd;t@aTpcD^=SF=UJgxbibBmHj[SvYWv_x]_yQuX:uDLsXbsghwBYYff?E[QWo_RQElsDLgiq?pPgLMqmPpioOao\\LTFuR_MMmUxHHWc@TDXNd=s?dr<=sZXMlLoLtrgTMYlUeDOOQy?dSiuUq@Sr<J:<L:`N\\@Ndloe]SKAY[poOPj<PrkHJCMUnDMflWD@OJEtuhvwuR]MmcMuFMqCiPW\\V;TTBQY;]tJQv_MnU\\wUuppUuPhOShLiTNEymkQyMplO@LU=ViLo?<vO`wy]tfIT_YN[]sRyxYtQELtO<PmML^QXdaoe\\MPMvH@mnDWLyKx=x=XMi]qkyky]y]yVyTySyyxygWvkAIoVQ\\BGhnAlAY\\Mw_G^ZaP\\ixbJo]KP]jqxp^l@WpJveIFeff^sPlCIbYpj;YwrQaFNsIVoQq]WfmOYaR`vLyg;if@Inhn_^^mtvqyqqYWd>YmXitGvkyFgI_mW>kHG_j^`W?ac>buw`uYqIOqCNlNfh]fabfvxGahvsmxfr>vgxvgWyrWyM_iOWlXwu>Qer_r<PjI>uQ`pJy[gaie@txVlhnZNfp`g\\o_aj^_Lihcfl^i_^Y`Bynl@hxqjHQnhYmF_trf\\YP`]xl;xeGVZOHsNyigqaoweQWia^vdXsDysnvvpVp`_]]AlCYmdPyAPj<Pr[NbFYh[`f:nlEGwx>fTG[cF^IQjVOt`QdTascFw^A_LXmP?dpgc[pbrp_\\XhS`]ROf;AtZxvUFjAniPHi@prM>^DNZdYjX@deGkBQZfNar@sa_p:vjuVe^qi;hu_fdRydvPZUw`QhuyYoch]uFrSYZthZFYZixuC>rZaoGAgkGipWd=AuB__`wmuowFYpIijtQik>icqneAat_rlg[h`bNa\\HV_kwnJylevovPptPqtQuewowhxPYeyfycycqppppwaQfa>dsWnwaigyjpVZoAvrXaoxfBxpDqjgydJG_^OwJOVYRu[bN]Gc[Sb[uaIdwkg=eXl]ROACy;rhkrNiHAiXjAXSostQYpqFQsy`=v]wtOwfEaCEmElkx\\mbkqU__VACFuOvGidIqTfUuMitpcim]vkYtaefSeUvkEKucVId?ofEXrFmkamOqQqtPq@dwXQkrersdxETYdYyu@Y@QV`LppemCtWvHnN`KN\\LNlkGlo]XwpENR\\N:@pqULXYODLvo\\VTyT:dqwTYqawSIXUysmIqvAkOUOVuNQUlWAMQYV`@XCYQ>qKv=vPhlhXmktLTurpdswDLdXo[Po<Ll_ejrdRP=kZiPGeLhMnj=YCXQ?ajvtxVYX]mrFHmsTX`qwWYqcPXditQuUWmUXmmFmNCHo]qV[=KGDlWaWpTQd]tbPytQy]TshuuGIuIERiDNeuKCXyxUOEETT]VDPV_yk\\XKFmQgUnrto:uRFxyA=q@hYNXs:US^<nguOF]MEqxwtKfdQ<AsSTqq]tBDmTurMiOKhrhiJtHnkQRI`n?XQ_PlwdV?Hq<aoryUpYTT`kUYwHLyYUMVuyyhSEHrBlYQEs[LprqmfipMUjCXvnHm<aONpYqUS@YUeaYBYvhhlbLtdPnMtYC<UJMNR\\rDusUpJietWyOfxtl]sqUYGDXSqYX\\uyAopPx[AVMUpYuX=TUNerdtveuV<@oCyV[DqaQtRUtOHo_@nZ@XB@vRTRwMLe\\RhXKJPy;ERMPkIdJeUqnlnByx^hj<uMtiN=@Pw`kPLQrDQ]XOs@qexKK]MWMq_YnlylmavU]kBhPtXl?\\MXQutDlxXmUyX:qnG@x^Yr_usyIXptwQhxKeVe<pGLq;lYVtXsAX\\HYNarc`WlatkYdAHma>bfnZKAqiYje?jeYbxvsgWm??]jVdQVfhvdMorDvjQ@q]imWitOipbGt\\pkHp[DQdwoysyvKppxFx>Y\\J_;MSWGu[KVk?uGsHVAXWiXQir]Ix];ELMTdyRAOfAcIFygGSUH_YWoCauI[WEDSh[gCbkH`[hF=Goqxbuijir\\=UbmgR=feigMsF;YtFhuFhrGTtPLu;]N=<OdYPemmIiOwiqWMcYhtQwt;hfBNcH`vLYwiA\\\\VjdIkUnZVweViqXXZHqZxXx_iqUI^Tqqg>xyWp]IlqictFhpVmO?]Efx=vjKI_b>?sRI;YRUd>MY>ih\\gyZ=EweEgYYxuyuiseyuVSipeS`=fqMVhgWZSuUSh>_STAdaYreyDi=U^aeyqi?KwdAFOObB]BLCSlubJqsFeEFCUb_FUGxfAcbCf^KdbaGOicd[E@MvH]EQCCecRv?vLOb@=SOmVyKsH]iP?SjcdKcRtqcescZER\\?H@ieryXrQBDosrAtjAI:gX;EidgfAGWVcWKYB;cbhWSWkx<IXDAW<eCCahICYG=GmwREYDsGdGCHbostiiCcYJKxvwyGwTgGwmKXCOCEutgeCu;FP]xeQhqGYJ]fi[FJkiFSUpUVT_DDwGmOGT=YE;sbMRK_rM;xOGyxGh:SD_UXFEe[[RKowNusOUF_?yL_ireTsgww?dkEw?OGGGBgCXmwi?]W:yDh[xxSFuWGQqx=Uxk;geYb>kesqsXIbGEBnoTlaghKxmOh\\qFk;Fiqvg=gLuVQER;EvJ?rLWxeGRCauZSGBIcEAiPEiHyGbUsJQT>qgU]rZgVXqCOsDOIUCAY;Mr@QXqUbLoW>ivDSuUKvrcuL=uVqBAsxNcs`]bd]s@iejwWi[yfyf_Ubwqv@yVT?YJStVueE?rSOEMMwbeBxqBbOGiGWVQXlay@qvPoySYHeYweYdkqBjgwf_eRksDODNai<mH]KvNSISxMG@XKLKIQJ=]lSeT>iU[APLtXQiXMEoNapcUtx\\x[xKwpxTYW]lRF@uxhYueXoePlpuV`sOpNSelvmQIexO@XCxU[LkIMniAXbXk^pqa\\j[Dw^mVJ=MFlpa\\twHOGeU_DSS<OC\\YItT@XW<aqOYne\\T`iui`qr`PPpW`MxS@oJxno\\xbMQK\\nZtqM<qmXWAqxCTt`HU?`p]=YiINhQNo@OS`OMTtA@yQTP;UxGUrjquGeKXEvjHrc\\j_dxqyx=huAdRE\\qk`q`DJKQrUElYenK=USPQ[MKDLKAUQnDSfiY[DKC`kuTQrhYUur=xkh`Ut`X[qoopnSDxvaUS]pD\\yXDnfhTZaO;<P]]wFXlZErciTQ\\qYDy>eY?MTPDPodva]uaAq;pS\\hKX=NAXTL<oFLK?mnmTJ=DPSur@ER[AxKtX<YjIlQB]KRDOfLxlAS>=qeAsAtShdwfmPeMSJDo_tLuDqXIVR\\R>xqw\\Wwiu\\@uYqwDuuievKMsQIUCXtOUOhPOr<Q^yVPhM=lvPxqiiYjQvtqkAtwgPvS=VPaJIIjfmj_XKUXVyeVT`vKDNUxnnXRNlo@`qNTknXK<=P\\ekClR]Mq[ayZEr=hqU`jk<vADshpoNUSP=TqeMFtUpUXtpMjENBiN>qySAtFAJJYWlYnjdvk@ymUNLAlqMST`o?TqMmqaMrc\\NLtJRlkhlo[=wuQVStJvXqwxnQmpiHjKqjJYJOtTJxl_QUT@undMLIjELm[tsvumPdpLPw>TOb<OVLPJ]WC`U@djtXsT`wu`p<uu?YKSDU?pYYtPG\\YHaKcaJ^EJAyOCuvsXOupQdiy^AtfAkB`SB`Vodu<`qNlYqioftJX`X?xmkdpqxK@Ly[qniUN[pjgxW@UqqlPeW`qIxa_bIx\\e@ZqXhIoudHcIxiPq_eywhQacylyfc_Ptwhs]^g=qf\\heVqxS>]KG]vNs]Pbunmc_elam:Xc[@i`vr;g[FgmlFr\\GtDN]fa\\Nn[YFhAcMcw@miXwsaYvkAIloX\\_wNgXD]RP_tOCgvEWR_rCECZ?TFAXO=EX_cXkbrmEQke@sFYGEfIBMqBhywXqhoGViqIyogSoV^csqqSXgHZEHPcW?OwMSGASioCDBUHckHkCCkgyu=XfavnedyWxqGE\\CinChnQRvuVZseG]VgqBbISVCgLGSj[WjiEScT]usWOYveB^_rqObwywJcB?cB?Wr=?FZQEMgrQ_VOETCqsomGemrZsiJQROASw?IB?Y;mesOe`KWL?sTyu<iT[QRZMwTSfGOYtmxhQuS_UtaYiuTQmxcWygSIpKFbQXr=DKCUhOfU]xrshvaIxehhOXvSUjmsvGYmAfdOC@uH=GW[SWQoIhsuI[YUyt;uTn[U[=YMsxjKH>?sq=EckEtWuwCC^kwNmEO?GuKHrUrj;cSYveaUhsRHMY?WF?KgssRKIbnQdlIx_=G>=w=wt?Yy`orwEcdGdsgUBeuvwFXkbdOEgMvFkfc]U>wI;]fJOtISRHSDSoui=hhEskQW_qgcWHOsTyOscGrwwyaGySqevuU>usA;reewnorfqS]wr\\mVl;cEQsyKH`ETasBi_COMV;EccEDbWsqyvAIIseC=GFM=WBqG\\]dIgr:Ytl=yrmvFsrAciCGf?ewWwfG_IkGHsXTopV]Qu:ItadkS@XkEu<DxgtOJImYXVwn]BPnVqjHOcFN[DN[DviwN`TAdFQq;isjXu\\HsTGdsfpJXx^nfYGln?iZNp>go:Oy[>kBXsLIoWPi;Y^;X^Q_erAws_dNac_A^<Qs[Fts>[r>gWyyA?i_gZvpxfgepX\\<piVNh<V\\gGZQ^xn_^BYjjylUycUfx]n^F?]kgv\\@wBqvXprTPxDQoX?kr^ue@f\\_\\e^bhX[qqqHNnK>aHHm[wceQsSAfGw^AgtJfm\\xcwgiBqqJ?dr^c>im<fbJ`i]Vaa@hpOf[iwgiwuxhiq^karcWt`H\\Ixs^O`>ytkWsjY_^Vr\\pckA``fiVynFgdv`c`HZgVnDQ_dFfq@eo>uQi[wfurGqcFjqAflNhEpmKpuXquxQkFxvtFp;VriIwCIkT_pdo]`ApZ@wlvnn^gMokjVjsHjxpuXiqOiuoao`OqoFplOd?olAfkfplhwZnvroFikHsFw[_@]N^\\N^\\xqtjaicY_b^kHO^va^JnuWNn:QyJojNv_ByZa?qAabpPgZ^dMN[]`lmhhWQuKXwqxgSApxfxAirwgeWfkHqd=HcOF]hfvY_ii>vWQbEgsdxj@IkEnoxAa>Yfj_u^_y`OaOflWwm`W`E_rtX`sF]CQkVayyIpqq^jOhOgdxAysxxgidWgewxwWIuuVi<FcB^f;@jfOZDN`:Xy@PkvAdkWb@gmyAysYar>w:nkF@a]ak\\NjfP_yFdN^Z=NZ<H^J`Z<Ob<O\\lxnMpctwwhPwTqupwiaquUgdWGuRVj[VwwqiLxtipewPioQwxxxHiyXYhIIyX>dH`^?XfX@q]v\\Aou@`xWF_rN\\ky^X@i\\yhyXyWngVGqlgv@h[U>hApn`pnQwewgp\\Pn\\FmFoi_Y_YGa_alMosvVxFImmvfDQedP`A^dQg\\Vokp^pLO]W_xfWsJ`a=@][@\\ehtGNcn>gg_wjfkCPrngp^Oi[Wt`>xSFxwArp^jyYf>YvX>[IXqFYsCfjihay>bMvu\\Ig\\NwWNrF?lwW`VayVAvExyfoy@^aQN_v^ukI\\gqxPAp[Oago[b?\\kWflPidF_@QVqHDSRCASCODHOrUmcIOrLgXGgdJsXK=Vjcrl=yZsfSmsA?Vvoy=uhtUFFSiaaR`syJoYdMGS?HH_h<wv=wSsarECH;yBGug>iywce@[ccGylcB?cb=ibB_wyMrL_tVKIlGb:mdACcuWrVwiECDdMWQ=FMoVf;doSvjWS\\IFhabrCe>KhEOX`[U\\Icn[Ca;VauDyAs@hkxYtiAVeYMGmWDQN^pjdAnSLRhpnDiKMhUOXPMEk;yTAikXPPemLw@VKakMqvtqRs=MlQrf`KA@Ksttj`slmreLo`YnaiODXR<tTnQRh<ViEMN=yNmK\\<YYtT\\\\W]AstXv\\EwE@NwqQK\\XRuRNxsWEvBLLqAWntoshmDenJPpyUyUyuXajFmSZhpohp]Xn]XpmXTD`s^MPSXqhQqEtpYhXPIUYUyTyt`ysYxUWeUgdra]TV`skpSeiVGIwvdv]DqfmTlyVi\\KZUwtllCUNiuKGUvg=k=DnohkbEll@pfMurIOZqQcLPGUpb=RuTqquTPir:MOEmj?dWWeP_@yHDltaqEamb]jI=PqeVthUmUQiquLEsaUTEqyT@ml@V<IMZdx@HoO]xceJ[=oEHpMpRNAqCER;EvWtRBAYxXl;ISp<Yc`lKdLSAT>`nMIwl\\w@MrJxV^PLDDjFipAduj<Kx=rGDNS@VEqTf@YkEShEsLIv;puspVlxoyxYnhRWtnD\\u^EXj=lGTLpevnqtemQAdsgTl@yp<HW<eSNmxyEVRxl\\`RPqKl`uMDV?Pkp]jO\\WbprwISddMEEvRqNhaqittoiXeqtgtUx`yatQsIKlpxCUl`dmlMscDpR]wvXxHYy`yPyHuOit?`mXmruxUuewoXSP`OsmysyvuMYt=xWysvmvmTP`]sJmwpYV=`qk<Ot]VE]mTQt=ITJQSQ\\pslUPmPshMtxy<XoOmJ?HrhLLLTrH@qn@VSUkqqjrlnV`oVDtjDvi\\Q[ImZytwLkYTxSAMalTATnZdO_YrKak<yMlTOm]sVHrTURB\\MbTlDAx^]rmpSDpSRDMX=WcXSryqnAY]TJj@pnQUBPnwEJ[iyPmKvul?duj\\plus@<WSQKrEXe<MrHRguUVqN@<yHpWrTr@ALXMKAAOAiyguuBYoiYxEYnrXq<Pj<IV<TpDhQHxN<mNmPVm@x>YPgDl:`R<pyuiM=UJ=DxXaJTE^yrlkfHeBa;B`yVFcsQYbR=e=_WP_wH=RAqCrmy_;uvGcvGh^mTdUEIgcQaSBAiOmH_YH:Ii;GBYQtBgi_mr\\OxdQwRyfiosTkRfmvfQfxOEOKs`]B<OfnQbNMb^_UmKeCAyVkW<cRDwIHGD^]Dx=FHIUMSr;?cj;iXsIJ;iNmxCOFpuu]YstKg<_uOkcrCXAMuG_uwyYxyvymwrWvH[YSAtJAXEiGq_UlEs_Kh`CtAkIjIbr]IHEGo[C]OgdOwyky]yIXcYnItUsWvGXW?rnGWMAdrWWdcBuAUpwel[W`[sIQysIRZWIHavSSH[IUCIyn;xM]Y@ATJMrqWdc?R>]WoKHr]hCaU<USaYhVOISQuYYebUSm;TSyCiAHr=d`qUI;VTgVpewSiBgOvtmfw=cAqVIee?ygHwD:kxB_Gj;cJWwi[dcqCvsU=IhqOFhQCDKCiahsOV;seO[vseH[qcqsHfquxGWpSXoMWhuutgX\\AykAT`cEr[SaIgcGRl=XjuxIqwfAuvGYFYWiCFcoE]]C]CRAUCACfEisQgB>CgmcteceP;WVSXDyrxCCRygOyT;wv[ufaiB;GRsEy;mEhqwG?DeAbakeDOf_[RB=SAgF?WwRswbSRsCHg_YhQCAQHkuddOHBQueKGdKUUUUymymyeIIemsFWoSAMFK[U@QVk?HVCsOAhgUyDYGi_EXkE@MXyGYmqvGSEp[vlEISoutMbNWGtkW[YCIAYcmeu_sFcC=kg?[rYAC?MYvoV;gSPqRdOg^iT_CXn;cwuYwMfhEt\\csforGCEKUwNIvhcXB=CYMRg=GX=rBmfcmcemb]STQocwUDRcSCSvqyC_UtYCwSeBkkwRuYmoxOwYCSiyyCwst@SGnWtb]CGARFIbD_WwuTVGfSwIjmRvITdoFieBSsVcECygdPgh_YC>MsTkrA;IPWg:qeCQtsiDvwFrWwIeHeGi]AckWhuqVVOTxCs;OHM[G`=xXSh<gTCGqSayn@PQERpTj<aqDPj<Pj<IJBtxXqqT<lXMwKtyJqYuYWvtm@QKg<v>Lu@ysnYKElL]mNYIuKIrf`WVitKUJNANW`Q=PsIUxCytqLQZXqEIutqNvPpFlPgPkhQUwDj;UQOlpHtqHuXlpWTqkptVldYy]NmtsrTy<TynIoOiKG<XdUQ>MnXpo?DNxul=lPIHRq@KqikeMNTpMgamW=VhQmNxjiLqc<wBySDyvHdlxakLxL@EwELUl`TJ=QlarWDKqYLI]Q;Ln<QvottVUXdIoaPR;epwAjJaPgYNYDyBmNMHylyly`yrYvIxyMyQwYToeXo`LYHTg`YFLv:tt?uPUTmTdX=PYX=LrIQ@DV\\=WjpOWHKEAMY\\ncujR<ib^w@>\\tQrUGrmIy__oZghwI_^n\\:xw]vsFQ[GIr<xd=GvjNjCHaYoyvwZJp[mF\\dAa>akUn\\y@\\Swo\\NdpNkPY]\\IXoBDeI@ER;EvBEXHcUlkBXkYC=cboCA;uO=Xq=D?MRGiiykgYOcd]yG_vJAV?Qx_iYi[IuGXoQgpogGIs^uu>UGEYS@AW<UF@yCWAdksHGYYIOw`sFpcvDWhx;BmmV=UYEswp]G=wT:wF[Ggcsy=OrCIRVIDEydisdesdXMYcKxlaUhsFoEFI;C^qXpgW]QHBKbGWEqkTN=xdWel;TXehlIt^;wAkXv]v?Gys]rFKeyCE\\cg;UsrGHjMu_myessRGiNoRFqTnGf[ofKKcFYucCVpmV;WyEWCiqDqGT[awGIcwcGMwRXuh<\\UyyOgYsqtR@TlndvZdYnMntDtTXtGIyMQs:mrD<XETL[Uj>mRvLkNdNE]viYjthYXQLP`OL]okuUu=WmuVQxOv@Vp<Wv=s^hVbpR\\]Y`\\NseMwtwwYn`eQTHmxhqquxuih`?tchdfpc^pekg\\pFiKghsgl?PbyHmIyiJggf@nZ@hZ?g[AkO@lK?v[fuYIk:yhDfjcH[lo]]?vbQ]iQiFnuq_do_nsoib`wN_y;?]by`]_bINtlffaNxYxe;Px`Pwnwd_V[cpdh^LkIK]u]yR=mDhwf_Uva]sCwUqIglGt]MT]WevkvQ]C??DC?XS?Ev;E_?WY@JGIMCyma@mZ<l[\\jNEUpdjMLlrXsblxppppptPqT^ewLhmY\\s=pOqxVmHUMaPeUWeEX?Da_P_m_o=h\\oo]=?^n`ohp[TqrbwocQfe?aJYtMA`r>ZGhctYuEwdb^iBQZmPqfPu@Ve=f_<ffuguwGf[?[[@hrHvtHavoZcpNSyqeBxwIRUtYaRdyvrStTUuTsrKGh@;e[seDErhATa[RG=Yb;Gb[i]AhgCRC[Y[kv<_fTiXcQx_YWXeUS[FtGdg;USoSMQhdOYQYENqd\\=r_mb]qV@_SZifKEYCaFhoc_QDdatPac?GgaotI=e:SfAQrcWh?syZoFKIF<IGGweKcrROfkkE?GS_OHFOb<IS:]uWXUPmr_=mJPpqqxpqtOitklrvtsMhTKuK@\\Yv]MAxJ_TvXPokuk?\\lHTppQKx\\lveUlUWG@XaXOqdYBeoWhxSMQ=xTiXs`pmvYLRivcHp]MNPXJXAs[awvIt^Xv<MYDIyLmRuiJ\\uTYPx\\@MTmlaIuQEkbDyw\\oIiJiiXphQ:@pkLt]Mjslkn<x]hj[AkDekbPqTHLdaP>pRDxu_@Xj\\JtxTl\\R\\yYGakfxRb]lAdVeQspdn<axaEugXOuqXxxL@eUOeYXiRnQS^QxOPnWHx<EW:URW<k;Yk>XR;UmYmV[EK_aV_LkZ@nZ@xyHjF`xjLtC<TdakCLxOtQDLpf\\q^H\\cNsw^xPhfgpuLWyBYnO^ggf^`HZCnwHvnVwqK^j\\X[IquKh^MGyEa`jfyOOt:g`gpwmymiOej@\\darFi_kFxWomygb[Vf`GpIRKUvIuBdyb;osb?XvChvuSAYy`CWvABNmCIOrCkRVIdZWFSurOoghogOWGQmUrEv?wWgIEOgFNeHGUETKE<mgIWwK?S^iGv[xDsr@GrOGvh[W>]I^ghOutG=xo;VxMfiuCFcCJwhOcGKwyN?HR?I@=xwAXUmVAqvgWUX]gXAWJeY<MhdMvRIC]ect]FkQeBUYOeVcqCmKRSUEv[wBawTeHv;c=MhWIc;ivOUw`aFuQEDIymewtEbckFL]f<Oh<Ob<xXXqO?PPlTLCHjNySQDwI]sNQnNUt[<S^iu=EyvDTK]qNylfhUvHP`iUmpovPLdXo[Msr=OEHxNEoj<JfAp^duIDtHITL=X:=kdMN>PoXhR[av[lwBHYmqvohpohwSYpaIxAyMAMKxEt?uLwhjuhMYQwfawV\\MV\\pgUYpawSAsWIlrXOPqYnITlDSrxLyTlKyOsAu>mRGPjeexnYPuQmaTrpqSZLyrMv=TNPhr]QKoDSkiRb@nKxQj@k]\\LxTKcIXqdjPYqPxKMpLH`XkuYgaj^=nAtk>ulWYLsEpqPVG<wTaJyHvw]vnijjMmADnOLuVqOEYQ?]RfUsruXWerRuyG<tlmRx=j><lPyjkEwr\\QRDOAYo[pJYYxyeXyDY=LmpEvPhLwXreLXsxs_HOcttrxoETY>EtHqQmeKXmOVmXFPjDYkeeOoil]PoChLN\\LHLJSeRULxXmXk`lU\\V:YQMdX@eV?HTcEv=Dr<iSvEWR<lH<yeIJ=IsKaUYmq@pXR]td<prul\\iVbDtuIWwTJppns]t\\XSXiKYLqVtXR\\PGTLF`MYPnG@RZYmTpOOApftUHyPDuyttoUPsEdysmQOLWgIVXQskiV;eoFETNdj]yKAdqeujAxjeQwdaMAIXWuxAuQtItAuQtGs^OxgvZLIvywyqyiYahMicBGuivqvQxDQsDA^B^duq]Malxwagfhxhrp?]Efj[Y[LIux>c`^iXgohiwVOcvHZDvu:_hJYo[`qHqhr_cHxvi_s^hebF[`PdfayW>b`vlSa[w?`v^dR^nUfdPgifn\\MhbO`[[V\\>ay:hjDi^_@nZ@h^@]Ax[f>su^l@HlN_xoq[aPype:_IeCvc;TnOXd[HWoToCwNOwkYteYUTAFXErqas`aS[qIlaUXIcRgfDwVvoY?Cv]ebj;xmEIhgG=yrFKcW<Q[@XJukuLTp]nkupVQXEyKx=x=xvYxYxDlB]YrYrYlQyaymyLh\\UrXXaqS^HwGeSGmmaiR]HTYyxQxOYmy>YLI]usuvW@N^TNYYxXxx:@LB`T[PPAAMOuuEhNMLR^dV]]l@djGMmIQqeQuRq`tideq]vVyenltd>Us<CXa?SCSDE]E\\;siwdBQCjCYbmWLUXFwFaSdfsx<_TRkC?KHA_hh_uGuub=DhadPkx==YoqFjIdSYcn?URKDqGSV]sbAW\\OWd?gcGfjyiZSGhkbcKS>?DjcfaceIaYJArp_s_WiQIR[ChrGiqoxTQgMYG]oCpubX?EoCTvobtssF=rIUwlKuM=S<=sSGEOWHf?fZ?xq_XdCYKYX[yUIyx<cbL;ubUc<;seGB]Kd`sXqwrmCChedpoWe_y_iYjyvYscLivFUGFcRVGv^MiSwBImBSAVRuf^uxQygieUnmHZgt\\OUEcHm[eLWuXowQGHXIF?]XW]xyKrA[r>Qtb;GPUE@oUfadnKUTUIvsu_eB\\ibDKXQ=IK?cu_guMYSiVQgcWSIpYSYMyLYhIqIuAu]ucgkUv?EcMYEUSEMGOOurGX]iCq[ujWYqqwfmHuytyoyooghogeWgemtfGUQaUmes>IcMcTEqEi?gb?ilYDYsbQye@_UY=sl;r<[VgaGBkCoSSKuGS;hkCEjeCJuUWuTZYeS=tGsSmiHZOG]yyiIRKgUeebroS^=x;=E`=FEev^ahV?y\\iiNSe:cWdgrN[DNkc>KB`IH`=ENCgmwwkAuSSRA_dayRkyC]UYXEUKmxuwbP]IwAuv?rm?YaEraWYSSC]cVP[fW]Vtqh;iUKCifmFIYhS=UFqhl;ghOYGcB?]uI[c;Ir;QcDOccYtawUyeyoYd`cSTEh\\ebNmXYIh]ubcMe;=DVyXYiYXwv?QVk[UhQuoWwLYSicRPqIymyv=DIEF[[BqITXsx]Wcj_rwIR@]U^sBBoSKovKUto;ewsBv`SJXpsXXvTJ=IW<EWJDlH\\LtxK_]K^xXv\\p_Yk\\xK=YJQxwFAt>Qtrms:itmekMmrTdvyLwuEMvtpwdtlLsehPdMXPpWK@r=yKTlXTtQOHNP@Q:HOHlNwEQDIxuqTRLV=wqeX^_AqXFxFGeDvdMAo?g[fwyyAouAsHpwWWcQioeoobHyN_v<YdcI_K@dvNx<XtA`qrIcxvd[visYxHH_x@pCGsEfZ?f:uIbEyJsxKSG[cXVYD\\ox\\gfKaE:gDtQefsG;AWMmr?Gbf[ysICwqeYOWukUxSUa;De_V=Yb=oYgWV>ybYiXK]g\\kCqyYYwDXqfC[hGeyP]D\\GHJiCBSRm;troig=H\\mdLKVc=cskUAyvxGFSUYu_ffIwXirFevnKF_KsjGGV?h>iILCcBmywEy_ydiKUn?w?wDX=YfIhAqUtEw_gHemtroGaWWBYskIRtsvVWXVsr;mVyibi[Y[of`oBD]vXiDeuIHcGkoGVwhNafHChb[bxuseWGduvFiI^uWE[BNwthauEaRpsHq_TmGhw=vXowHOgoOGomeK]RDmBMKCAoIjSbKsRNsekktlIcdGI`Qe>AeBmRIGgMEVp[I:;J:`N\\@NdtufilMHPpULlpxjtMeanZ@nZ@xHLrLiVl<WbyJ;hL@\\qUEV;Nuj>ar@y;yZ@iyYymSnnWWvJol_oel?rnf`=HaparSi_Q_eCfxG>xAynZ?he>p>AcSHlLweKx\\jAxyfrf^\\NFH;RB;X:WWT?iF]FL;sEYgdOghSifQhEmGs_VIqewcEWcErgrmaI^kwkAYvGisGIPScGkCHkTPmT\\CfQgfLeVCcT=AHNUDYcU>SyseEDeyhQtoAhQmvcgV^QhsSgsMTYqvOcXJWCR[WwIwWihogg`avdkyhweiGhd[eQ[u]SwDwDTEsWar>oEC]B>eDaSeQcv^IyBEbi]BKSC\\SioYUvkvq=IS]EV[FsawbWu:CXKSWGiifIWKcgbAC__DGmBxKWd_XdYU[GFQEeQCIHSrfgdn[H]idjUrPkhmyt;QvGEixWCfIeaEdMuiKCih;bjGFKEcnmEd_vg?R[AbhsfLWU>owouwb;Gb;GfyBSscAqxgIXnETZEsDiCmQuZSbC=ETKb_WsSqrG[vSwDh;SoYbq[BSosXsI^_bf_geuejSXPewouU;?SNKEUErmyhaGw:MGlkFLEUPmUwKYZKBu=tFIEJ[bssR>_tRaIlmuKkcwQxLGS;ARNUSoSSvARfuIY?dViuQkxGMyj[ddmd<IC?]u_Ei_[VXASGIx_mFMGRloc^_i_gf?CetETMiEqURHociCdoWyxwGwewlUCxmT_sfXsYJArlcSRgIYaukoGFSXToB=cYWiBcsg==B]qeZIdIETXovIywS_cYWwY;wUiUOGtCoeBuBHgWq;RgOGmYxqaUiOVIKcfgEyqx=AvlgxekYUSUEgUaoepiypAV;oh:GsXUSGKbN[DNkus=cJgIhSgHyUnqxhqYpIwhyuxqYqqhGwwp_eNwuYctL]u_SRCeV]Uy<WChcXxIvd;WUsBsCf:UeEqctcYxAg[IVBqW=UCPutLaeIaWOQc<Yd[STXaB?cRVyCFyBncgB]r;mdE=GrCtK_guogE_tVaHGQF=wrg;iy_chGrOCgrqg\\]uIOIDeicYY?MiY[VuWS;?U>sbeEWZgv:YgU]HneC:YGeGfwgeygwKQfAWBBsIpgC]SddCIt[C?OcdoSTWI@=e;YfDSHv[GKOu<iiyiSqqcOgYUkdTSI:qc<=wiKbCucUuu@MDiEYvOidwVBEY;kYFagPgDAyGMuDkiGZQEX=sUEcIaT^CEI;VuMcgTqp`KTTyjeY_uluPPk<yOQseXNrXSVALQyX>ytXxU`iTZ<UkqNJLvDIYialTPPM=TJ=QRLP\\EWLILMLNgPkPLXU]JupX?tWfhtX\\yoxxTQtcEvXHmvuqjLkpdjppnWIj?yVWEx;xsvmrStQE\\Swuk?DjOTW@UQPeT;tuwHLVtN_Ex]dVlPUNqtVDX^AUPYvsio[tyHARbQpADyDusT\\LmHn<Dw>ALehNWemfPK\\hlNXKq\\LkDTrDxBXQLDXEQvSPjS`S@DsqqtgXUMHs^`sqdRpmwsmM^ijtHUKIqXhs`ExgHv[IvCYlatlQXxfEQOLOm]q\\Dmn\\KUPj_qVmplWDjgXUHDyBljbLXg\\SaxJxHNhaPIixIiPaQrb=UDMyKhp=MYrxQLhX=ulKmVcpPyUqZejdXpc<s>DVJPVs<PEdt?]K]MWsULlpXYeRqXOb<OVDPrqQqUJfawrExSxneqUtYlc=QTHTGiXbES\\\\K:ppnxRHAUretsUkZMr>ms?iy:yvLekVqk?loahRrHylIq@eOaewjLTWIUjqWw@T:<T;ERKtxw=jn]ULPxGwgxIvIvirwtWwhgyeixv:Xy]QygwpWqh=i[q>o@iaP>h:f_niyVowugvWY^Yp[<?mqGreVutquwPvaon@Oo@ve?fix?c<o_i>w`A^\\gf>qoHV`rgwXfg^YrPGoq_q^?sPo[sOehOmtQ^pogeArrx]QayXxi^P[XwfihoT>ulno`_gS@_mg]G^mvxt>x\\Wg[HObCG]SoZvvae^_VvbXGs=PcvIle>waixM>yVF[^?qbycAhp_ImXinyFotx]TgjrOht>yPAvsvnOqsH`jtn[hH]=iv;`fEHsxxp?`svQd[YcDN[avmU>br`o=GayqrQPppNoBfi^NmIGip@_[qtbv^NviG_fTqqeQwH@`UasmayDw`=Fs^^ql`]xay^^awwxS`cnObffsGV]=XaEquqvfKQjMwqnIhXOccNsqhfvwtDPmgNnbq`jfcm^[SYm>yxiQnfWpbW[o`q_PuINu;?sGqiMisDIvh@h<N\\qGwfvy?y_xGhAi]q_gSQp?OppWtnfnX`s;nmqGp=n_cfnlnl@obEA_VvfpWuoG[X?qMwcShqwW]fpyS>qZO]v`loxvsplcWjR`jCNk;Q`Ap]Afv;vkaP_onnc`hTHciH`WYs`P_=Qyq@^AhuXpgCyvrFZchuwheJv\\[>nxVjlAuFAynqdb?`ony^NljveeQc;Gb;GvJXq@>lxwgfq[Bxm_IfeNdtnrNUr;CmCufeRnKfUoBfqusydyYyeqhAmwEmCneSMGWjQE[YF;kUFYRyovPyY?Ss^agWcWQWem_SEUfDiRZ?fj=eBWI\\exdityOyOygPmgVEGCEy_ydYmgcuBwmr^=WugWUqd_eSR?H[iGpaTrkfgWHQ?X^<Xtil_MtSYWtAJEqlpqoVeuvdXdTP]]RuYqnmUd=KgHkQERp]Lniw;@OIDjYAwomtlptdeqIxVG=KAHkhmr?DtFxm>`yWYL;MmtDtZuWWLVStQDLp<<nrENYikLQSytJs`UPQkTynJptTItQdSkQmumJtQTWlYuAmkY[XX]oN^t@a@xcA`adYaJgohOh?fZ?XZ=_sSXi\\XyPHyKOmbqZRV[JA_?`lsInIg`W`bWvjkghAwjJv_eyrg`_IAnSqpCnuRWZqwuo@G_B<adbggQsEnqBqGdkgc]wrieImahsWCQKtSWDrESrsbASvtMEYsBRKdrwwikyLMv>ITJ=TrYUCWy]ucwkx>YDI=so\\ujUrqpqoior]Qx=p:Hm\\mldMNK@k>MNB]uwts=ikLeMLEvrEJo\\sJYXcMN;`JXXMMmmG]J=tWvPpeuthpvpqX`=xFmryxrPPPBTtSapR<LRAT@`tvlufhPQHlBdLNel;Poq`XBhwSLxRxSWAsA`ROaRdxS]UPZLK=dOxeL>YnNxSh]jFxKAaJQyTWAn<Pj<IN=ULpIQ>lOPELZhsKPp:aUWHLF@o=lYletMYk]uqv=puuTAasHytnmojenADjI`uxPNLaXDiVYLjmmsexMQuKkPXhPLcIktULTpneMVJ@LrajLeNFqoZ@XR<ku`tbut>lykyMyIxEuUtQlNijv<MDHpkLPgdPy]X?QuIxQIXKJ]qHhXODxSXL;uk:Tx]LQr\\sW`lkANZpm_Xngqp<Er=dVbYNs\\P`hW>hVkUpfImFyQUDX=Qnn`mNhSF`k[yjL\\VXyLKukCdWR@JcTVKMXlIprMOViS[@SK<sAIX`yRDQrGdlIxPOXYDXsOlV;PwqQpAuP=qsUPraAx;iyL\\shpN_ytKyx\\Yq_mUBYp>AS>xtvhP\\QN\\mRWQvDLKDtJ@AljYpULrTaR^eQNuU^XOcmJlAx[TlS@Wh=WRiQr<uburnLS[=pIlPg]joTMamQpYURay^AU<ynEDtFEPIQnZeXxxxTqvKUnulOrtno]wR=LoTm=dOF<mXLTkdpelnHdpJHMTduEYvh@QvPj<Yu]lwBytKpXALJ]yrIxocHoCivlMT<Lx:XyiyqWESDaMI@K<AR@dMTivO<Rn@rEUW@HRnLpeuVA`MJhj[=RBEPKhtapvUIqDioKpNW\\PQLtlPUoXmHQm>qOF\\M^mVN=sHDYJ=XlmQ;QQrmu\\awEYoqo[GXu:PluPqVqZEqy^WssQaxfuBQuEFbeoi;yc`@nZ@nj?c:WgfHx:na\\>c=foc@o<v`B_hn_li_eqAuwwxHyiginfXmfOpDn]@nZcAhrNa_Ql`eYsbDOsPqRKkeaSxWECOACkAFZ=rnCRy[dZ]h<Or[UFhir^[T^=xC_R<sT^OI^IrZcDYId_Ygbqx]QE>OwxseIcxmkcPcGUsHNYx`eD_qsjuwIyY@WChKxdMs=KsBEF@CdAAVVKwQ;iv[E`SV_OiwqimAsyEcGEIjgiO]x`SeRewf]ExoXBgD\\gVqiR^asCmVOiCJAfR;xSMweuF;mq?YO_lPiIN=HOmdy:pp@LM@<qtURRlYpdPumtbXTUEs^luRqkBpWQLUJ@SjIMy<qDEMQ=TJ=Qj\\nh<mPxtPHli<qGDSllOvmUK<k>txxqShyOrUXGXxjYJj@yxYK<lne]NeXPZDTZLy`ApDYXmhpIty`LUQUmg]M?xmoxj=mm]Pw>LrbEXsAP=XwIIXgMM^\\KXmNE]OMUL\\tk\\pRYqU[lwdMsXER[ALBXqhXwEpLgLoixoiQwdQwiywqiYYtpZQxZUv]EUnESlpXSeXO^s_Qhigcqi\\HHbJ_plpnSf`g>]OqeXP]<vgevn:Huf>]`fv;X];v^NP^vieqn[WhZ`aeVNZl>fwWZw?Zvp`XvoGH\\Chngack^sK@hyp[OowpyqcHa[vlFinZVa:Y^Ag]fI[S_rH`cKqr]W[MncpYbvoZGVs^^i>^nvVeDN[DvgEInZHxcVqZ>fTpcZ?gjXgSQprQxaqdvIykhj:?iOg^GWhrwqJ>qxOgVawEHv=x]?pxC>bs_lYx]@phxptKFb`?v?pq;Yc`P\\L?[TY`FWbMit^aq<Pr[A^hAcJYvkAy^HcM@lrxunWtGwoypytYbIfanq\\Ky_l^d`@ecgdl>i?QuIXaZHooaiQWtsivmnvf>eo`gcagkg[a>pF^hqGejneT?fs`s`OtpGdUIxi_bFxd`Op;ItoW\\ROjQIs]Wr:FmGIu[Hhp_]VGndVfmIx;OdaihQW^aVu?>\\K@nl@mc`eLGndAbRF[lGaGPhKXfXF]T>haYiJ^Zy`tXnicxho^tEPg[Ik:NnPaqtX`\\anD@kBatJwxGVsDfnAimcW^Qqc;Gb[afpXxAF\\S@tlOnEx`;ystIoBvkgXsjvtZNi_o`?iq`YeqgnY>qqNxriyoqiH>nyG^XVrn?rIax^gxl@gMqnIfifOy\\hbSHqE^`Zpnj`vH@_DG`ZNiJPs:Xe[vjTPriYlqVbvNy@A\\Dn`uI?QsJEGb[ENweY[dy[b[UV]Uv=sCv;xiyyxywroyuyuyqyKyRYcd?STI;Cxsv_IYLghMCb=GGxWGVSv`cU@?haguf@o@HVCuytuYquJvLxeHvnApf@LNlJvmOOqXHdmQuJ[@wn<Uv`QHdVK]vxQVd]lnuxnuN[=qr>^@alDahiYaPp]cO\\[xnFXveV]uoc]@`vn_I@jXQeQvoKooogZ?fjqXZ\\n^?GqqabQNk\\?fLfmDHeRikifqRIy]x]vvyRY^S`hqosEGjbfkt^lHWZOQgIGaQIq\\QwcylXoZMn^\\VgIof@hd=O_b^qm?ievkun_KXkIH]mnf;Qj?VsPh_uqvqvqsyjy^y[Qqeqou>VWvr;sWiVJ_Cx]fxoiXESDaEI?t:WCoWXwooHTtaPYamqEllfMrgiK@MswmyQExZYYZIpJUvMunX=vT\\yLtM\\TSniXvqkpdo\\pLfXK<IKExXg]jk@yg]weHriuqRlsU@Wo@VQDT?hm?DNKayKXsHMopyxcmqqaj<pklTL=DMWHW>UP?XwV<m?YSEqxkpQVuqPpYjQsBIymUyIawYLMj]wdItgdWM@wNlu>QNJ]PdtQZTN]iVchToDOg@nZ@XJ\\Vf\\PiDy:<SwdwtlkCTRw=pauKv@xaIPIpyLuutPpKHJkhOjQXwlOmhslhLgUPQ\\UnEkkIvEapdQuJAk@DV:praPsCXS`qU`\\sIeVHxOuiMx=ud@XYyWFTSvYPT=U\\Iqc\\XBMKDLKyU_H@ukXfAWiuWaLFxr_ahYyxq^;XyhYqiAjuvlHgqWqhUigq^ujWZLwy\\_vFPrkwZEWpZ_yrIcmnf<QdWNbYIhdPtcqiMqvTy_[^jTFntvddi[nfwJvoi?_@vZ:O^t_ft^phPhtVqZV^iAnn^vv>xf>l\\hjDiuxx]DFdyQvIFh;icrIslVn_PaPgqjNiTVo_GZR_la`icpqHGBpXGaK:AXHxlqd_bp`nghwVhIysahamYo;IjXpxBfvCOxXo[shhggur?]wFwVycxo[TN][PqPXmpo\\lq]Y>][PstW_b^]_NvXVk?afWfn[Hn[^icWupXwtxZEhkM?a;?\\<?vuab]>sEIn[Pq]hphOdZYngv[Miev>^]WdA^tOIyOqnRPbwWak?k;fsdOq_W`EFgbyroxcGqnmyeW>wBavlvwEhsbxnoWvLi_vw^YXluAnFFmb?ilHgZ@kDAv:iJmGaArYgh:mhlwGNwEokuwkXloSfEeYabIegqqhwabfWW@OxU=sOUfBUvvMIOsX^oIyaRByGK[fr?tFstMGr_WfCAtosRWYvDKCDsB>gwaGtnYIXWsgmr`iwjQsl=YlIxSWgXSgp;UWGS;ugoaihif@UXuIgaGUYcyrev^IGSovk_u`?YFWCCSEV=vksB[WslgD[?XY;C@sem=ynsUOwU<AI^wVWowmOCDesWER[yw\\kwSaWpOhlOXSQh_mfcMFkuRxoG_euk=Sw=rwyxCcd[[bbsXuIXdyWKAdZKT<wdL?yXgVSEB=mBCyFI=C;gUUsHpsHn;T^sb[wWLMGOsuICCT?sQmVvOGJCcbmsFqvcevfGR=cWDCgSyu^UglMY_[cx?taGD\\YRJYwqygmuhhwwVqBOSiqeVq_GgYEWgencW`SEgEUpGsncF:wgZ?fjqXFyYXIUHQrgWU@oEr=X_YxIiep;ikKVNMBSKSsqYnSu]=eOWhIIijKYtQBRGHMSYwagYghs?e:kXU[U=mR^=RkSdR=dIKtM=TJ=I<_rWMyQyfGUe`cUfAS;Ie:Irr?i^ax?EuS[UQOBKOgCwcqKbbcfnEdX<NXdnMtrcMNeymaMO?<viqw;@j@LRhiU`EoXLOmpxkAyFtWu@kYXxEYNnTJjXlgAk;]xXmp<YjZQRaERV`r@QlplUYXRrMmImPyAp[TQvtUv<QVmQ@\\Pcln@xSPTj:uxB<lGDVAQsnQmYPUIER]xKPtua]lPqQPamNTjDmYcaKQyKVUP^iOQTlHmXkaT`hPx`kbXQVER;EvZ=uOYJell;YSIaVPiqPEqsilqELK=y[<SqAt`MwbeUYTy<AuCUlBamS=TOeMdatmeqbDPJ@paajCPLsLxntUjMjBqoYXUaTkkUm`Qwveuv<SLhsXmm@DXn`pRanfil<Pr[<LqusmaXWuN>@S?mXcDLmqL>]UM<lXmXCExOTWylO[\\v\\=lRXYsttjdo`qn`=kPQq=TqG\\PBaKlHWXtkXpxmDLWIVrlPETJEuQndrImL<xv=lYBuPriqqpYUqjYlxyqrZPu:EY`PtnxNtdOMUoaDsWQRg\\n:]lf<uB<iQ_qlGkEnWwVI[rl;TCgyTsYjSWdKgDAr[ic@AiZUihGEJKgpQTJ=Tr[RfOUoawyuyQeupyD]iTGGTb;XiMbWQbYUIuasdYshSblQxBeV?miMytoOTykEEyt@eTG?gZ?XN?cu_xWWSPqG=YVDWGJMfsSbuGsdSSlORMmFMGc@UfBiGJ_rACR:WGAuHTmFN;dMcBBWb?;xBIU?KT\\MXREB?yeZscm]tyEtuccFGrv;xEiIAAh];DrMIJoi>WSnQud?hQufjWyqsXI]inaYuKtdUwJofRaDA_gKMRoArp;C^Ei<AeGkxnohckReUsdiEiGReuTA;rt?VLeFMqfloV][CMOemMD`WT^cr]CEMgwdKwLQctuTvmGTsEaseJkB;YefWVQmgYKwj]U]YrTov?WDaeGnmrNGb?wwkiu<SdeIYLExbOeLiy?yvFMFlgHOuht]ew;d<qcSQVFeGDgvTCVZ[CNGbQOHCefMgFeUEp]HVCixoeRMscqdvqXsuIBIxVmdiCeg[cX=FwafvEvQ_uUKIe;dpOfgcf?iEOkcTKhjKXOkxQYIacFUivoWsuig=CGc;r_?usMEG=cqWB[QgOmhJyXHuCjivPouxwYsyvdixIwe=wE>UDWOwUKCe]iZSiogY;UUuUY=ydiWbB]HQUF=KEcwsvAgA[hZ_SZedxeyXmD@_DcmrXmWvKYJKCLMDtEgvewDKCA_SVYcniIS_S@QVk[VgAS>YtcaxMsSvCxNYTIewSYhaGf[Gv`YeimgcGg;mthQih_xiwDskgfGhdSsjcEO;s[UBiWgvwhdcVKoXEmUhKRqGsxyvcCSv_I<EwAcvB=v>qvhqBXiDhsh[_GMOr@Kgxcy<osQkE[qhs[Ba_gV[XwKDkCFiSTr=sn;X^]X^;G>gSgGH;erdAWs;RIkWdqEfYwdgwKwtAyTLibuacs=GiYXC;tpKtjqVvOTngISoHtMx^UhXqBe_f?gDssIkIraoTBmeQuRFSIiMtvueRKw[GTRYugcbqUcEgi[;T=UGTMDcowOKhJSy:eWQqcOSSQosVMhdUutgTOEFJ[uE?uJ[VJQrQaSX]TmIcI=rcWh[Kf=EfVOFiOsFigFOHmKCDsrRCXiKXk]VgYIqmwVQh_Us=uCw[b^kyGyHYaUx_Ys_FlwItItI?X_=Yr=y]uEuAuSyVYgYkirQsSR?H;WYhMCKiw<mGjAwjuXcyUYCHXeBBAYXCi\\cEjyBMIsKwEAyu\\Cswkc[=EiIEwYDUIwhWSckRMWI?=eWmsQyyIix;qcg?haiVvuhsSe?gxUCSeAGnkuToxp]Ry?GY?T_Iwh_ej=xRkWwaC\\wX`OXEYG=;SAwiUku<MWdogJYd@oVNMY<YUf]eVMv@Ghf?io_fuMSr=UoCfIAtiiC@egBuDUiceYtBAeRUfsCXMUSRkBMmrYOUCUvG]fk?Y>CQt@T;xPcEo]aTXmO_lLs]Q;iL?yNGEv\\`n;`k?=P:MOXujJtwS<vTaYP@X\\PutDk?QRkqoKlLrIUkQvEtjs=\\PQerp`^YxhhkfQdd_tDFoh^icVtFfvlNohFsKgjW^lpGd]nd<ooEQmIFfCYqK`g:^dU>hrHrohbnVkWP\\XNxjVsg>iiw]fau;qqvirthee`krgsfotEax``oq^q;yjbSFuUjER?Qb??HymDL?b:aX>IFsiI\\WCMkCN]T`YTm=HDKCAqCkuR`iGwewC_R\\IsasevoytYwKOsEMCEcF;qwBEVoeUyie:ieqmusUrGsHFYeqsWLaFXkffSf^ycPyC]SYu\\Lwuv?Iu:`yiytoiYnMX^]QFAS=Dwt`XFyLILX\\UqUiiI`nSOe]aiM_rDqjAPy^Xiw?ibx]X@y=OyFHiHXvJf[XqebV[HvvnGh]IcIha?NlkiahyqC@tlfsjIioYg_YsSy\\P@oDPl^Wreq`hX_Uf]Yfgp``F?g>q`MInFox``o^QgbfrPYl<>gMpdv`qlGwEGdLphmHugYlTy_sPwwAd_PbF^\\pQxZGjbfjwN`<x`DV^p@lgwqiy\\i`_sGfhwveit_igZqh<H\\maufxrlfhGYtTvSkbesuAcTO=sTIFjQclCBFmRkWvyed?UfZ?XfGDqaWpScfgYgQuoGgNMwUyuxqHx_WdMW<MTH_xWqhgybYkYrGf[GBS;Xtce@iGQqUuewdxTidUt`xexUwQwottVUxOxovenkHpKMqnxkTunP=X_xlt\\db@mwojMVyM_ywo[OOi>XnR^ym_jBN^KImY>j@?miy[MW_FNrDWuVadMa`sWy`>tZp`whZX?efOyqFxP`iUgfLPZZoa[Gjbaal?\\AY^VPcHws@NejpicXnUV[WIsMNl]wjEapbH\\[^^NaxMpsw^mkHiy?m`GgVS<Yg@Qw\\owZqWeSv;wXG=yysGUwg;mfkiyTAie=wuUeZoWl[hlyhWmS]AYRYHKgcVKulwfPocMmYg?xwmih_y]urQ[s:=x]kFQ_ydiCCpSVMQOytf`kvLymIK^xPEay>qlqArSxL@dTo]ydtJ?ieMvsJ`hEqvmn]^q\\Byur>pq_pnGwt`iva`kW_gi\\Aaoj_\\AWGwuPGeFKtBSwlcSe[dCQUlmV@wGwUdiQECIyvCFgKVkugMWe:_UPkeWMExIvqgsekETcvFGXoArnqxjKWoqfMsWFiyjUsRIHOUc`IrNIWJAT?iWKsVtaRaqCpmVkYvM?TFYv_]rGmvbSc\\?fj]wJsXU]tBaYjIrAsiuiuiQvDKtnYYiiiQCcukWAmixaymys]cdAUGJCDrIxIwYvYsYmyl=VZ=VwQyoyhWqXUAukWVySySys\\cXHivlmcm]t>cypIcPLqWLKKQw?AJqiYVdwLirHXS^Ey_pOpEUHlpRtRnMNt<Wb=TRpUj<KiLJ>llwMuSUkZqyaIY>XKXAP>@wKlYGUJPLw^iwJTWGPW_psTPUbPmsDXTUJeMt:UM=mR?ErHPTxDNIEK>HR:ePOIPBMsO\\oTiy@YsnULRmK^XLypwwEVtMq[EvnX`[^arfkAI`JIlZXd?ooH_y;netfj`@mbQm_wlK>krngqVRgtN]ENOrx?x<sup[S=CEv_hEcEukTv?xQsvHwEtCtlIhB=s=_ecWucsGeMw[ewswEX]xcygZuVICXXYymadC[wuaR>]fYKxRCT@KpomuMhrNauXPj<IP?]u;]JixQnAt==qlEr?tLVAY]ikahmpMMl]XCIUuMYt=lyPNqurg<sHIlWqYrYrYlwdQwtXwhXqPqoWUqwUypEo\\QXNTR_MkfUUL=x\\YsnMQGxvV]Ye@Y@XyETsZAy>mVrPsj@YSduh=M@`tu`QkeQt\\jQhTDdUfMpJ=oN@j]uNAypq<KudU[=YZixsYqpXwGiOpHxpmj^MmqLv?up>UWImtAyS<HX=]oQ]uHpqjQvBeOmujyhYLHTKtR>@oulprhOwEm:YswPni]JEmyVdU<DlhDXMTwJmoGywYPQW`k`qSNMOvewTtK]mK=mLKhqc=OH@r@]n:=m\\XxAINvekYur^@Ui`L``OXLkaXJY`RP<JC]K^pPGppjumZlmVIJsHj:=wH@M\\IpkYSlXqoEx[TTT_leGk^arMo\\CVcXPflNhY`v_@g^HnMniV?lKnx`P]U^]OWxfnfT_akAcEYg^GsEq\\N`evfmyXvDHcPNw?Ne:Ak_nwZxuinjWXa[y_IamtQyMP]?v`CAbI@jQIy`op\\hilijupygYsogxGnbgA_x?p:h[apjGvslh]uNr:Yh=VjdQ`hHd>QsjFgN_dFWn<PrkhbVIlZxaqaumWeqpgGpb]xdYgioIiaimaFeiNpRIn[H^UqpeV_efnQo]s`o^YqrXe]Wf]yjx^x[xmxaXyTyOyOQuTQu]_uaIyxue:MHS_RDkGAKDOitOixoixBiu_Ysw]fXsRfYVRkB<SsQwGq_RpcIhwr]Ix`qv`]yfgVSuFniU;EFBCRaGYQkUBAwBUsb]sU[Y]ixoSHdMW:@SG<t=UQp=rMhn@]KxtO]aLJ=ttQr;lQ`\\NrLT\\pY\\\\OeTOEPTAeQYhRvdmwEYAuWa\\p_ywHYp]Xt`mpHuOLPx\\asAPx;hmf<NlpvGhRoLNS\\l[MUZUudHVNlxdAvoUrAlQHUwVaqsDymymfeUuPxWqkAyWSdKF@T`=MKpxsyl=IWaxPIMm<YjfMRVQsweTkQxr=OAxJ;tm]dOo=njUN=YqEettPKDtrRDXAMRpHWMqN^ipgdOgtLY]Yk`vlPt]qkviPMHsrmmAxOEHUU@s[AXuuVauVkus>MNKmUXmyHuy:PN[qlMEJlDxNmVKpUnEt?=sTytgXUQhsDexUmQ@AoeXoUd`bxgyWYIiaqeU]X=YSaKIYOCNSSVyEAaFrkCsEx?yDq_WSQdiAGCCrY;Y[ibQkuyuywQdgodLqtM;gL]gbUDGwtcaGaKRNGtkmrW]Xk[GxuWtivaKFvMxNKEwGVxccTWXoUvJwYiAdGYY:cS>qtTKb_mCmkE>iyj[Gwiu@wDXUEmqFrqubavFwWNeUxIXlqUGOrCqT>YG]uBX;YpsT:?vkgrrUWqAhnMElsYfiukgsIEbaMbh]SXKesqulYx\\[f[;vTYu<UdU]RiSVuMC[wHw?YWSRgueeQgj]iS;WI]sb?D@iHVOY@GVSQXrWw;mUDsXruCNgd=qwQqFlYsFiYaiWumT<yIxMupMu[CHBctG=WScwyayX[Vl?tJUE>GBMiwZ;vACv]GXYwBvGTisrwsGsebJKreQfCOebEiFMupMF^_ROmfJKwhOX^@waDnL=J:<L:`N\\@^@^w=@pSppjgoMwaif^]^`TI]HFvlOvlOdji`\\Hyc`f^Ne@FmWQqaIrGvppfoSGZ=Y_aN[OwevabtvrIXpfHhLayEv_CqikYh_ohSo[^gf_GmGG^hh`UFqtIbCfcQarvnm`Vpi^t>^k<PrkXbVYk_Qk^F_APjBY^Lgt^O`cfaPIwnOmeXkBV]ifvSO_eV__GpO_nBItb_\\sWhoghoYaeAid>ctn\\?>_kacpawSYhIiaqagRAp[Xn]XZ>pZH`noAqVipew\\XHyy`yEyqZys;ofifbSIhVNjYPrmorY_jahuOitoYmYay@F[tpncOxMgggggunhfA]V^]vYtYpynIoIgidOsNH_YAy@y`jiuVo_afvdivqqm:x`BF_NPreo]?Q[\\PjsahbVrZGf:?w[IpVYb;OoPFkB_`@FqfHmNQh<HuuIrCw`mvkW?pKO\\[AroF^:pb[NihWxNx`@nhhfsfwb`gdYFk?abwO\\OIgX`[q^ZLhf^^uVAq>FvZwdQ^qsQmQ^fgfmcOmXf[u^hVFcMnmr_kIOfdWxD?^=GmVArZqnDPxDPyt`cT^mBouuHbsHZQAi^x]>FwFpf[FgqXhhosLQn?`nNaaavpggnEWhFYe_o^]WaCGhJo_`nej_g?W[qf[RQfT?aVaqkWx@h[Gviwig:aqDVbtPqr?tM_p[O`FAawammw_>pvPgsHpZJ>q;Hn<AnN^\\Hxg\\qkFpd`gghxeyp]>@sFN]tGcyGlQX^Ywr_nqNHx\\irJWlXpmX^nyHxr_]sngGgcGYaGQuEXfF^aS^aU_aYVsl@l?xyfyfyVqoqtUGh:HjiQ^Kvaaamm_vhW]qngViquwhA@rypyeyqHP]oN[c>alogSHbExqKvh@ivIyixYxUpg\\Qrc>yPnynXpIqauHn[HvnXtHWipIuaWyuYyiYqiqqtQytysxoxmhdOgd_H`mNxn^k]aq:Ncxx`BVxKa_vNmKatsqtlQmGIelVbr^gbQpQFngh[`a_vW]fhaHAyfyjiNaRfa^ioQW_v@iM^pj^p<ynRw[R@x`grEye\\WjY^nmig\\WZNomNw[^xrlNaKi]iN^e^nZQtMQ\\c?svOkXXqePoeYrwVxvwsU_fXH`@pkp_bKYbj^jnOdcpjF@gIahXpjCgvAv[@OZLg__gxHx^B@m`AlA^oM?`Axjf`fGpuG?^QVf=_^n`ujvly_fS>uvPv>>dlh^dXb^^wI@pX?up`]Twb;HeGiiDFfShgeOhDnjlV\\<Nmp>gZOwFNhBQylGZIPmpHoCibbObhqkaNbqimDXi@y\\cIk<_uBGwrx]_?sBphXoZQhveyg?Pn=Is:?l]og?o_EGpEOwMV`FYwu>naxjxYx_V\\>p[Ffhd@riPhWqqQimkocn`_limiqkX`a_VdMa[\\@g>nuPF\\d^];FfCGZXGhWYcXw\\@N[sIiRf`uQnZ@hFH\\q_n[x\\Y_ikixQyeI`yoqvUxgxqsqoq=fZqq`Lau\\Xps@e@_\\cQ`IXcHpbKhaqohpOvxvbLOd@FwlNlfGqxYyYyyXFgqNhbQuTQuyWyqxiUhauohuWiuX^<NpApj@pexGy_yaxIxIxaxIXyDY]YKsdYUyTytTQuTQcACS^KDYGyFyVXkYrIVvEy?wGvEvMyexaHh_sVGIMmVcOvAmyjyby[YyYyYywdQwtquqqiqUvGwHPitOidd[sRsF:Eu<mr<mguYsDKS<OFToDQgHo]S^SgtqIUuilivsYdaoBa_e[gEx?tZGw^gIWueCyiZIvncEWguWWVeqrV_fIiVR=sbcXSQi[iCwgYwms>AEHSVHugUSg=oI@_hPow]?X<SrIiVscw`OrJUTG=w^EDQySKSt<KU@CVh;do;X>Gx]YY?[ySgHbCxLEsowirIWWUXeqhCWTAySR_D>YeUsRIodI;IkgXjIEMCVlQerwbFcSQKf>]FJSRpmw;CtO=ivIHs;hI[YvWCj]WIiWl=rM;dvAduwuweGn;c;eG@YdBoTiOusGYESYhEUaqdgwfmCXUATYKXwqW:asRAuSyEwoD@ic=GIm]vGev@oickTnKBr=G_YXQ=TrkcCWITqwkSV@aeqmususxSyfieqmusEu_udWGX@IEBATMEgNKdZ]V:AsQiwL_Ub[VgyGv?x<qpqXVIQNqapfTwBaTHelNo^JytQyjNP]SWahwy^y^yFyxxxwxodPoDow@xwPwdQWvb_f[Qr?XZ=VZInarAv=w[w^`cOt^^^bQhxFZq?ukXfAYvIxaHXaqppppmpOucOllx\\av]`qsWXax_yrybXFi^Wt`hcy>y;y[xFxCxcZFhQ`fWo^ypm:v`>?b^_^evwR>m`r;CvmEeo?Hb=eCSRi_BFgkqXKpmXJUtjiYIuPIDXfPN@XJX@kWusCpJEPYvAKgQyFmPNDjnyW;IO=tk<HVhqxlHTjUsIMpALp<yOAqxHIwvdOriljewTUWmynGYu;AS:Mp@LnOuobuPQXRSeR`ljuAyPtkh=n<yjD]VrLobqXSmUDiUF@j^xoWMo<@Lm`rcmnj]mR<WdEvoponar:espLPghOUuOwuUpTmchwHuXhPYkHkBtpb`m`Tvkps_ARm?^a?wraujHwyGi`^ZPWssGi]?\\e?jEya<VvAAbmW[Fpg=`ghNtPGriwjF?^LVecv[SpnvoZGHdDy]dAh^q`Lhm>?o@GkAAZV@daycr@lnG[sOlJF`Svkd^`mFgxHoq?[png:x]xy>qdpCwCoTTcbBUH^WIYasScDkqvqsuwEsfWH`IUiqYIobwmdawvmGeBoeLsRhss^EduwBpgBlmBa?D]qiqEx_Ev=wDX?YqsW[]DN[DHGE\\qG]Uiy;y;yCxcynYtCaVLCSdiuquuwCV<ab`qv`]fsOdaoDMIHmCmHpkHXohPqdXoEXsOiunUtGMTjDxBaleLl;mxs`UHtjD<S]xdoP[yxpwhqwYwYwytNppGmxVar>abF]vnmsGisGyvHimAlrxxqyxEaqOG]?^jev_w`xL`ulGt?w\\w_w]w]Mxa;O[LYviirYVkFgiKQn??cVIh]QuoXgkYejWnN@nsF\\Viw_`qHhwghgiHg@hfk@ZFOcFVt@`f\\AxPwtlIrIpb]@b]au]_\\GhkdVghO^GGlMXpY?^sgahq_byuVIpONf=?neaa]AtowZ]WbKVkmFav?hkW]MO\\lv^=^iYx\\ZOreqoUfwa_sAH[gaasfxGh]OxuSq[Wgm:gxJYv;a_rNa]ajDQoFg^qwrCOZGQn@ghGprrOwd?uYiuUpox?yQV]\\gl_ilOWaUN]AqcT`\\wPyYNfKAmj_u@Np]>[soe]P]Ri]UA\\;N_FvwA^niQmjFrlobNvyiQuO@i^ypUndiPoXWxao_\\_ck_\\QolWnucWgpWy?x]@hbaqtWxi`va<HfrqoAiipQ^RvcMf^JgZIw^Z`l\\_\\NnkeOvhfuRYxaysyxxXYiy@y?y_hWuphwVYhIimtfhdAukXf_?`qAqkWvXgioid^WoWiuWyswvxVY[i^q:`oWFghIeagmovfHa]cakyN`kvulY_j_\\;`rwn\\Ehb\\FlnOaW@c^NklnkrXb?gb?`yKOlFPsJaiVGrwinti;KCYiUl_VCKhjQeTOeCWDaKSdsUNqWQwu<WEQ[GR=xJYRICvEiDekTFAekSVlavCQHycD>]gyIXiyXQsfY;CMmwKAb:=VBshUoHfqBKOUcYXc?SgqbOUGrur[mElirGcBQsX^Wi@avkUh[GriST]=ItGsXcylCy[syDSdNGtlGscqHXIFW_WSOXtsDw=SkGRvYx<=yvQVgiHbsV<=isGBVOwcCvr?Ck]v:uVJQw=qxc?bdEXw_f^iibAr?SeqgRQ[WBuicwFvew@cuu]V`?XV;fIQt:QtdgRxSRHacmyBnGgV]UFqyQMD@QR@iCVTVHXvfUWvtYfyRxLwO=WutuRuvixujQsmuYTpSt]O]tT?\\qDtW]Hw<MWGap[=Nu=nheOmmmEPrEXSrtvuAyaIy[xvFEvIXVF@JOQTZIUthLBuXf`M<ylbTqe\\M_=PxyOAYkLXL=mUMpyn<Ys<UuhKPuodtqiqmpuXa]u`=Vb=L^LJyDxtaoEyNHum[yYfQxdpn`aKCXqZirwdmmpXkeYWts?dSm]rF`UPQPZ@TYEQihKYlLxHLpQkDYnl`q>=yPaK<ER;EvBXLqEwDuRPMuVauvQyeyo]dYAmUxQq:<kFxsoYwQymsmNYDrAYvkIn[HNVEodPotPvDXOxxxwxw[uOl]N_IL_=RHtxQQnKTwiyJK<ny<Qr<qpewTYtIuQW_[EIr@GxvotfHe=NbCvnqxpQFeu`\\p_qoqtUw]r?v;^vnAqKOaiivaW`S`kFor?y]?XZL`flFk=VZVqywywyw]UvZA>`l>daaZfI^rXcq@bnQsEYgTN]BqdhYY]guuuH_UhsbG]fWkf;OcvQedUiLqBEyd=sBY;rrCIYOSKETVKHw?dFqBxmYUmFoMcmkF`mDLWBm_GUcsTQW`Oy>ubjqbDOTA[csMUb=cn=x:sbMYWQQX]afOGRjPtBMOOHwWip]]wfIQ@ekwdxnIYJIuwmUgeMWqp;hwVaKwYwmyxNdL=PQ<lKg]JP`wWEyvNxEygpgdNatFqyvyrVplPvosPsb`o^OgXvvRvpG^i<i_iv]M^j;f]R>j>AtLXwxfdKgdqNueq_QYg;`h=xm]ijhh`rfwwy]\\I\\gicGAvsqmCxpKGtkV\\lIfU`wp`jGwftP]MY_b^]aarw@wvn_eV_uQyQyqxowsxvhnev@]sq_LPuQwewg`OPcCA\\K^nvxfWhhPNl`_fIyfYhIEv?wDDeFSOVV=yKSFhQTsODAEDImIsafFKuSwHimugyhYqcEIimuv\\CfAIX?uXquHHwHxMyMye\\CRAYxyayayIyIeIaY@sRW;ycCITCr=EF;ueysYxAykYv_aX;kEMmsX;vQ=vEIv[IVV[sFQeoSW_QsOOX]_WAwhgAWQGWiOX>?Fa?CDufc[vvAbNcw;ywTyfD]tuCbvOY:cC>is[cFverCaciWWsywU]iSwin[erodSIb=oEuycyob?wV;esbGDYacRiIa;YamUu_r]cRieCMarv]Wb[eAOiRCRkCDaeFWOr<icmaUjaweeieyymOYCsuNcWhmbbuRtqD\\UIZQer=XvCDQYC<SBu[ETCCmisAyd@mSnmR\\QHWSXCSe\\yx`YB>GWkgc_wRmswnODy=cFSSq;y^oR:acXqi^iITqHZOFneHQ[uWgyAGUnmVNit:SUZ_CYSSLudemvqce[SEXUuAYGPwi;?groCD=S`Ai?eWp;ReSdjWR^swkCF[[faMTwsgfSWtwxyyUJou=YrZ]CjQXo;Sbiy@OGjYTJEu<ye;QgT;yhyxf;CAKyuYfi]WfIwcqGuMvSqsGYeUkXx?VKAUNUw\\EFeGfc[iemu]yG;gEX[Y]yhvMwEaE?SdaqdGiIOKEU?vFGWJuTIkXFwuS_IWObeIT@;YLKE^UX;]r<UUNwiWayfmTq?y]wrJadS[FFKBXSbGwvMkBTctlysumYvGfQcGFcCDWj?XyPpkvlOlxULhPD\\VZhY[@rodOTLm\\MxvIP?`UCYtAUS`DORduAaS`yU>LnDhonykrMvWDlpMO?QnZTO^@n^qytXsyLlOTRoUuMDYviMW\\XoQOrxyAemexlh<Pb\\Ki]LGatw`rE`tqtkGpUwip@IkMDVhao<XOHLsEpn;A_hgorghH>n]FxPi]rPss?dJWvbQ\\DolHwn]FlB`x<VqhX_SYfhvl=OfC`qkAxt^bnypxv^vQivqg^QvBAsIyayaiVAiAi]q_qxQyeQdEN\\YO^SwqyqyuYfk@ecxauvyNy]cNvX_nHQp[qfIqmWYtMY^eH_wgwewe=IjAQoOWoTQuTQ`S`swvxVYj=@\\sI_vvyCX\\aNxLFh<hp=GbmvZcOy_ylYoqbGt\\^af`geGi[_vtn]gaxMycyPydYo_FhyYy[fjq_n^nkFIo?YwGxu_Vum@aW?jUouHGmLYrt^a<ItRpcoA^Q`^FNr[qm_ysvf`iOunaakwaV>sj`wh@naXnaX\\\\YjVi\\n^pmwlUX^Gnkna_CgmcYl[>[m^vC^^^pqtpyD@f<yglXoZFv=hbdO_eOxxix\\W\\Jf^^qiL>bNfrGFih@_GIxsvaxNgUIq]XnxscqbFIHCWe]mb`uFvoGkktGOF;yvxaDG[XkaijarXGWMYUVaEnwsf?UvyFrtvZMhJi[\\ob;y]Zalr>xD^_LhflVaoilwVoqfoLi[mPp`yyeWpf@rn_`SWwX_uqOq@is:hgcOx_?w?p]I>dFyC[R^aGLkebcsZarBWEvKc@=F^=W>;hsaYXyDjQF[KtnyflEgbgF`guLEWqIeawUrMxkISeodTOiZ;ytssRcCR[HpghIginQSr?v<[iJQg_cDNkucMvH_WGGcreRJCXVKHYQDQ?iHWGrqT_eV_uYyuIl;yNMGoqsLsXcUX_CcfKxT]rAsIrIR^mgP?BLEVZIHNcvLed__xQ?sIwE[Uugss;CiuyXxWxWwRYcYnEulgVrMd=Wb=weuauaAh?ChSEdgUS<uC<ewKsRWcHocHroIn[H>wwDYT?yu<WvJCIBCdVEUlwv:=BqWvhMH>myj?FS_SDADs]IOieusXxixiwY?yWAqX=qdAYH;YT?qRhuWiuWb=WrKHM=un]bOkDVKVsuDSosjWfpWGLCshQSe_ctUrcyHqKR:MrKCrYQvgcTlIUcCSZSXbOxUIY=qDxcvEsSIswWMfFoT:]V\\otLoh@kE_wglAFh]fiABuGCIOSd?hVSRq[XK=ENUvxohjsUliUQoevkwLmt^wTuAE]OCSCRhgSkUWcUyW=Rcou:aReCc^CHBIiruiKaHq]heutLYXHAfoqUqATO]iladDYxd;Wv[HZ;v_[HsmvjoRwEvdSTVAw>obhIfgkctoe[MUvqT<YExuV\\]teYwoKgs[equT^Kb;_uAsILgSa]ydQCj;UHUvsYcH=FdmEEeEpAIY?f;OilGbtWSFWha_WSAhhOVSYgwiIWivewtRohMUInoG\\mRC=cP_un]X^eycGu=YErGEvyrUCV\\IGTabC=Ht]GFWEEccGKUmeEY[IU]uiUeEmffAWNsWNUsjCYbsS`sR]oDBcDS]YPiHhSTBkdiEvCKyLgvQOURgy\\mfqQcYwGKuBQYxtmFn_r\\cc^IWBAElWVGGeTUyaOBJOfo[I:ay:oFnchLOva]r^aX==F\\cvncEUsS=kwnWGMaxjSv`eHhaTdowEARAuFvsxN[WRuVhcUvmwZqHj?GI?WqQFSaWlEUvMucwVXgEu_ww?H`]cQuUhYRZAga;S;EvWWvEEYyMFKGTL;sYAdBIFy[docIkiU^MwBuG_sev[UfgExytNQdLMugCyeeUWeEL?S^?hrMDBEukayj]h[cTS]vH[f:OvAmuc=sRQDs;SJGdbyynySyaHamsVWCi[ijceHUvUUSP_G;MyhSW;QStYiZEr<[uaGhkGTpofnMiQCwrkCO_vkcv[evi?Go=r]qCAgsJYUvob[KXn]VjyhXQYeiWqgu@cBiqi>ke=iwqwuxeuoutWcw[gVbYyhGTMadU;uDkFImU\\QXwcVkWrqKX_iUxUHc=wgwwecwYQY<oyTegDwCYOxXeIhoYQwgq[X\\KBYsynMIbIbx[Eb?IZuGdgeQcg?mbhyrbEUxId^KHycS?KFY_EZKXvMgI?xxosWUipgWgwCsMRlWwHktFGeEsTx=BdSG@IFawhgObgodkAUlIr_aUL?Ev_tkEUuarSUd`SrSwDFgXm=XQiiwygv_V__C\\eduWrcSdt?f?Ab_Cb>=F^Yf_aveyGg?YkIGEIcoPXdaw?xVdYKIuoeUM_qTSAYaMu\\DnBLp\\<V=IXbhVk@PYlRIxv_Hsj<m:esBdyW=K>aRfHoC@qPTunDyv=XBuuVAp[iv_HriuMVLwgQmAdqsYq<YKlHRLQt\\XPaymSTYyyj\\UTaLkIxjtPq:LKDtwjLkNDpqxpqaymysQPp>@NVuwLIMI`LHtllPwKIL\\lwlap^ImOTRY]VvQYflrCUMLpSvUWY`QNmNj]rvewlHQjhqJHY]Ik[IsZYs>MNkDX\\arGTMp<VMHNotrq`nDhnVho:MOyioieYEDUlLTp]u\\dQeYr=Yrl]o<xQDmjUxwmYO^iv;YRWlRc`Ms\\JdlUc]QMPvRxRtMvWEj=YYOyuLHRaIKlqqX@P<eKuLJaxOFqwVQKxqSx\\jEmK=uuZTWKdlWDO?hq\\pNqIXiHpw]q_eJdmOxdNy`r_yP]ekPEQHpk<HvRtxgiRL`q\\uXYqKepscHjlAPiIp@qt[EJLHLKLR:uxqMWWTXvXkPTuKpLEHtPlYo`T>mLs=qJ<kjxuQPrQmmHuOsqXtIUB`lwekVPPQQmpelpmYptloHnftMUTN?hx=MlLIm@\\S_unX@whdMXls<=xttKaEr[=lEQrilYXUpvyxvMlCUnU\\q`HwYDqxTP_MjH]X=yKRxvdQN``SHAXCUwXhLIqVH\\oZPnx=mQlr^EtddUmhWrQuQXojEq`ip>uSIQwuuwUiq]UWUMpqdlHamTdtmmQcxSq=uNlsCPvwYsRYMEHsthrfqS<DtttngmKnhk@xSx]J\\iLJurwiMcuum`OMTY:dS]PqIiv?Tx`<Rn=KtmW^ItQXuwDphilRHJM]qgHkaLN?uRthNcdYLMWIMSoiWHHtZHqjvw_V^aacEgoeGk_PwMfaCghp@`dwref^x?pMNZHXu=gsEavLPh^^bq`x<qnG@h]itgGr:hk=V`GPxef]>XuVObKAayymUX]IGaonaqo]RodTwj[`xj_^^IoFQ_Pob;GvWhpJiZD@kFOp\\Pn\\XquXe`_^DO^DfZYop^GtAX_hOvgPlMgvQYd;Ptm`lFNdXPkvWsM>lcYm_p]qY^=Fa\\@bxf__^_WvrshvPXexAyAya\\VgiWgeWqdQoepsuvwvpn`pn^O`sPgOQoavmvO\\CQy=w[w^hqiuqwekgrOv\\W_hKnyDF]:?_C^`x`l\\H`lyhOVhjgvq@vLv`DOky?qBXyx`ss`b<vqrgw_foyNu^^l:ghG@_Yps_V]sIihHe=V`IGaFXZ@V\\FPkBgZF^ZV@nRHZxG\\Ip]uFmvXsW`oaXnuX\\\\Wrrw]fVumprYfwyxrV?sANkhUJUI[KSlUy^=BekRgGhJCuTmXrcRPmGGYd<mrDQsdCVpaE^ewX=w[SS]kdowcq_fRiSr]ugSwSMEHkY=aY;YVcuS`[SfsejCX[EUV[UIKYt=VmYejqvtautid^chM]YRsEx_i;Os>GfMOwcQY]iVqetm_FMyWuCdgUh`wSXOHguX_esrGH]arvmVCSePmwpyiqWVBSb:yBU?IPgCxMgaUt@UvQyciWUsQwvKfuKYo;hx=V[SxrGShEWUogq_c@WhIIvLIH<yuNWC=?cMCHCOeNWTJ=Il=RhOHr;IB_XKMGLwdlsH^KXLiew=ixWwgOVVifigU`KSdQBLOhEyhlEiVgWUQHcMT@evQCebEHFiyB;tqQtp?RLgeB]FPoGWMYuiwqwXoeXo[Hn[YyYqI`rWL[aovHimuIqIiihVmGqhn_hviviviS_qrGxVHamO_eV__Ax]n\\EH^=Ol<Q`lOj=Opp_yDF]h`dvql=As[h_EQlGV_AxZro[r>rbfnfAq?obDGswvk>VdRFhaglDv`bomUX`fWiE?Zg^qHWkMgmfYjQytbOnhwmI_nHGjpxkII_NfmA`nRHiaW\\[q_rNs>amx`onI_?NsfnaB^oZgtKN\\yppmaono_mhgrxuNaxkg`Ofl:a[@Wkax^Nixo`yQajvhln`qQvuvnZYnfuwiqANqy?QT@cDjCttEbJqXruIugC@iF>URHkIYiIjwF:wW_gYaOG@KFtwEiKByAbe=v;cSHMrNuuvMfMsxJWULABASsk?ck[uiewcaFcgcgEDDiUaIBUYHqackCxDGBZGI\\eR<CyRiVJGt_]nEeSGPTA]NN@QvIRKPrYalS\\ypQwCpJrAVdqXOpJt]WhImZHwJ<qJXs;ATi=uSIqkIvYuXfEuVUtsHsj\\odqqGqkMtk_Uy;PMoHVixWjTw_xRjXJbPYL\\P]PY<eyN<QqQVttWh\\lQXR=eLRqP>eMZDNQ]P\\=lm`s\\iwiDmvHNX@K]`r:ASoAmF@mWXp[]V`dSxTN_hl:xxmuVYTYJyRHYpNalLhyvewLdt[tpaeqpHOPiRI@Nd]U^aSPLM>IweQvcMyIqOghUvAQv@yJakV@mKANJYJkaou\\qtHwNIsmmv@muyIr@HoMQpHhoMeOKXrhMrh`l;aX<mS:\\KOdvh@nj]NJHs^]VdMn^ew?uMqLXsPT`ayHQLqQNwujLdYRDOWiOw=x?MphTv@=xneNsxldhjA=Rr@pZIY^LtWlwtpOLUuapmtMwDYOi`rgiLOdLy@y?yOh<qZQJSlJ=XQZTNQPPwLTqlJCXyWxXXIk>dypXuhUrgAY<QllXjBxyclJGylHqMZYql\\VbAPxaPvQTCItkYqxPyOyoXEX?iLrYO^]RN`WC]WRIt]xRAUnKEO]YXnAM>=rMYvTMU]itoAtWIKfdVRdPZ\\nytKE<Y[lUItOO=V<pYtalSev^`oIhKr=LnDtt]wc`QIiPrPR<DV[IkhIs]Ur?yMRtogMq^`YtelPEQ<qTZ@rY]luTx^ARx`OnXMRmNQ`XSYpeXp;yKBpNLdMnLQomxf<S`<llIULANspMC@W>Px>DXKHrvxxWMLjlOiiOMqw=Ar`PlLUwFmnNPxIXqvLy\\PpDIofPmJQQtMRiuKfqu?TJwAxVQVRIpKlpqYRJXK>mlsXmGQmN@jO_shquxHy?qvnAxEyqu?o__iuAvfIm]y^GoxAikcV_EH]oixZ`d_ouhNhxokk@tsWhwQtyvaonyQxx^au[qfm>kTOaaXv>Ns\\gpoXnQnpXOi_^srf\\@ak`q^;?e@AkOF\\=Hi`IfIgccPgygZ?xhpXqP^bQO_Q`tQytynyrYvof`o>sZinBInnoyhIumxvEyexQxtixeindGyK@^hiblG_c^oF@gy>vxfbOG]b^rna]Spj=otevqTVuBFogO^K@lUyfFAmkqoqgqe@apA_dG_DIbBgeWgmNAevXyhYqioqsqfV^jNVx<HhAhcUp`gausXp_hn?Okko\\]fuKxcAO^KhgUqpgwuxhqR>t\\Fyw`axYuJGtKXyEInRni]I]a_mk?pwvkFg`ehqo>\\Do_\\FtsatsavpiwHhaM`d:?aRw\\`AfOYojXgQ^tPQytxgbofZ>k<pd\\q\\]g^Xwn<i[uxguAcY_laYx`po>PmJNrmAwv_ulQafXnZhhmpyF^fa?mOF]BIuS@ocGd`^nkAukQdCIpNIcBgrfNcXOts@tHNnHa\\pfwjxlXQqgW]npr;is[AaRvgSyw^wsV?duoZr`lEIZTaiBGa^naKo_Xf`GoZSGgDPrY@t>imS@v@>fcWrJnrqxwPyyvy\\\\?\\^@vC@tbvgTplTX`]`iFWhFi<=FXWfZ?DYqUvGy<CdAEfSOFJgRNmSZCFm;bTKfXmfecBOIgjAbAEi\\]S@]uRoVSefYuufmSYosGCyy[U?cywYIyUx>qdGSEToHfOs_UtKgUe_XGIW_cubei@aR<;EVEsEExg_UW?UsAW:AUDIeJEYTaYrswl=WhMhTYErcYnPLFDVFxNRuKMUJA\\vLYphdi>g]=nn]Yl:XfH@bu>l;OZw`beiaJPhMPfsSoUEvOdAiefyWiQC_yc<me_Wbi?g`KiZQEkIh>GryMTVUvk=eyycwwx:wheOGMqrYihpuIgqxXYduUtCUFG?RZCBC;VbUDN=RfUfRmvm=r@Wvi=xMyyaWH]ocvaeKcX@IEScX:er<KFZciC[F[CBL;SZCFwsHgqFqwumUscSifgixYgVWYl=GC[BMAiSucrMhiqIuawmwxxSgvswuouqIYMsswOBIkuaiuqYr?KeOgBQIt^Ahauy[KvFUeymWgifQIIa]SAOw@ayiireQU>?fEEXIecTkbX=eq]fZ?fj]yVSGT?BUAdoCSECWwSYgeWgeVViUDufVSgiitI?RBWxV[TTYDsQS\\ww>_SaqvG?HvkunUdKiVpAIRivkKyHqieWgeWSL?yekgrORtytSYhEyBS?ihWGiwvdWghOisqvUGE?sgb?gJoBMSIFmrrWhgyEwAwAUvAycyGx@YEmqYtEyWMHFoyXWYhIyktyRlRmyR_DUQxQUIsITRylm`hNqUs[eob`oFyWiQPjEqIMTPqloXmqPTsxrj=J:<L:^b;_dvghlIaaA^]@bYV`QWuiAwHw_gpn:pZ^^^hnxpy[Y^yMxyNO_MHmjNdX_\\E_cdXmfOh=Q[EWh\\__>vhAPf\\w\\Spnl^ewNf>O]eY]?OxgfjrGtvVopo\\Xp]?o[bHwqax@FvHO]GX`NyvPowXQqo`sa`kDX]TXZmq\\Qa`n>hLhg:?_G^fxN[KtvEGGCYBWELKb\\Ar?Cveygr_iXSwjwVasC?wYtICyivQ;WQQu:;g[cXH?hfMtfyEl[HRih]IuAEv_gG@GWhuUlmvSuvXwDW=IYwU_;r:AVLQGd?H:McMYhSOFNAiH]TbKCo;TByRCyB\\absqYX;TjsuUieXOcckbmuW[ACAIifyYhAhZQd;EbJWvk;YJyUr[IvWWaqc\\ywyuh]utPIsVOvM_S:eEpsxdECQYEvAtIoY;cR_;trCEF_UJmCysfDqXK=TrceZwE;?D=AgZUc^Siv?yA?cNsYemElKUdcxGKDnsrWwyBCsmaic?F=;YlitZ_VfMiF?FQOVrQtFKViqEr;XZsigstMkIvIvIShWwhXQYe_UxAd?qT_cuauh]sEBSIRgWEerYGYmqvokHpKhIQhAQFiSv>gBBcEIUDL=g>AR[owr?f<KR?iBDWvMwguosrEys=tg[wpQR`uYfWiIgsloDYOIrwhasfwQbECUvmwo]TSmrBYI]OXdmwlax\\[dOIBM=ysIxB=etyebyU:ax;ug:StSgRIQg@OcCMEaGGP?GGMvEyw:iBo?EIeSQ[ifkIEOr<gEseeumryObJ[y[[dkArYCfS[D;uuEaYbwFWYIqwfkGhxGWx]vf]F_iuoauMch?YtMKFv=DMmipYt;[uXmH\\KhLmv=wCnowTAFFaUwgufmelqiEaydQG\\kD]]b=iu?mfhgbAOyQCGBoCQWv]oFrQVHMUo[sY;s?WBmiInsD;CElUWl;RRYCScunCiNaVO]bYcU[Kf]qDHYShyuiiilQx:uYYUxPgwUoeYEIY?YCAVYEh[YBlOcgIFJaIRCuIqciMiaeGv;Yq[tnCRwUDx?y<QhtOYR_bRABGCh\\mWZOevaex?WYQxDSBk?VA_h=mu\\UUVEH`sb@OFgsTWKfjEHeaddqwiEHPcbsOcM;RD[IkacoUWBqF;;WpssmcSV;w>gGUGvHyygeYgeGFkwbsdaWf;]fnMy;qegUeYyX?QfqiUbeewEEqss@etoMRFUFn?VDItHCiCAx[af]iDN[D@QGkud^oHiCTCsgQ;WyUc;SSJACcQixCdHwVSShHAyt_s\\cd[UHsesoEyh_CDydkKvLIJgQuoH[>OaWplPAk^^uOhlOXt`hc]wwlneXquXqsRWidflDpb]PlhYjBXvawf]whTFk>?uAvowpxTYhHIaavo:y_Iyi<PZToc@FjZP^I_oloyv?pD@^nGyfIjgrmEdqqWtcS]kcpqgaOC`MYGoHUkx?UFcaDZsdQUVKaCBaCqUfXOc\\QThyT>=cwasvCwdiiXkiCirbiR<Qc[=BGaFMIshUISMcEmDTYH<OejGBOCUZ=HPqEJ?RE[XfWGQWycQcJ=Ea_dKAvHsfiAfjgTswXPqc_[V@GciQYpkhsQiGIxc]F`os]EuB=smsTsQdUSH[[GMwBSuST_Cogto]c<wWUiHyGhCkTw?TvwH>KIZybcccukumGB?cU==R@GrqStAsXqyWWEh[esMgtGYvUkIwIiDIcMCFXMHdoHyQI^Ege=FWMEdGY=sd@wwsiHa_YNcfBoEv[HCOxKkcigGZ?HB;xpiWWWgQediWYt=HWIUPcRXmFncGW[Y\\WE`UsOsegxkYeLy<R[=y\\<kLaNdXlb<ObLvX=PJASDlmIQkwLP]tlnyPiyXQHn[yrUYJGAmnInkDXn<MwlLEhQoatMutYuYwmQ=pT`XY`yoYhqUpLbhoghs^MPKETI]rj\\k^MPcdqcypXQYeyqwYuyHpwYN]TNfaWLuyKhWjxRkAr=tKBao[qn`pN@qy_hW=qSxqs=EkHeWX@xtLpXxuayJfIyb=vR=lGtRLiYphlZaQ;PqchpU<vvhnJTv_xUlLPZUQNlu^xPsYY^ImoamDQkjIr]PJ[UXhDJGAwytoSLVZUQHMLZENxio?uJSywT`j[ILXhpCQUO=oKeSNhTyUnQuyNamUIShtV:MYJDx[Xso@Y_]mhMuEaoJxV<yLXLQraxW<w?<OdtY``vmhSrpn;dSJ`mGTW`XMEQpILU<IOdAkaxvCpTfIkmHmd]KUTtZmpltxLxXnanxeyeAujqvLlt_AW^dw_PqIyqb]UOeT:iUNQMQQM\\qWUUkqho<QtELngImiMwRQPwPrOto<eW`tt\\pR]TNmUL:Twq]mnXKayPqUvA]R=ikjuLCmPj\\OMUxfQMpqMhXWVLmutofYoTuxpiwHQyoXoX`Yvpw?yngtNTElViMQQNSLll@x:]rW\\XF@px<M:hwIQrGiwn<M[domixtpRR]qBlnVHVndtlyojhSp\\SulN_IQpHNqmnrmTFhuwmjGdKR`r?iN^QSuDkZiMGdmDhMxiOnQu?XLx<L?dMjtL_aK\\lO_IjhlqVIt=YxGuwuMOsArweNUtmdPvdHP=dVt<YS=PGQvQTLvekkMtymy^luLQJHEKkiyViUaQsLUxAIRjtX_=YrAl\\UqvInHEtLQpDLKDtrI@qyHRuhqjLX`AK>uQIaUkIKn=kDuvt`O<dPimuvHmmtVhxUypYoQwOysytyvalcTTRHNKmTPmN]AU^EYQyLY]YkerDhLL`YYuXWiXl@Vd`x`xOX]qrHn[HnaxnAhysYlY`y^EiEI]mxZ[NuBqsZV_qfgVAqKhw[WyeYweIbbxqEQrI?[GhvOGc=ALaDhWIKSWROeTyi?mHWoihoSx?xGGD^YhMwuWovCERg=S=[xkexGARdAE[EdgUguCuMyTOesUiDIwBYSDhyVTWdlAxZ;E<GVIgI=UDkGwtIwOySWWHiET?ke:qCjgH[_C[OFVyS]]v@cdWYiQuIxAwO_iGAhX?WQ_dqcssSW;_XxOutGBNyBVWXQ?v]efq[b^GxW;xQCidoVSCy[oUPgD]GFrEFu?BBwr\\;vugdgeWJEUpEx^IsjGw<;mAToPMRt=Qx=X]tp;\\UKLw=`Kh=k>HjQlkfqYgeooXVmuTqIbgWwLW``xdOadAh[oIk>G\\\\_eNQpGFphGwmAgRN_DFcwxv]PrliqRV`=Wsf>dvxwiy]dAuiworofAY_eqnKIlBpe^VfbacgnZBWmuGyl?mso^FxgOhw:H`n_csQwAp\\LnaWAf`OumwpAf\\GVb;Gb[ahanwZ^fcfnAQmk@e@ae_G``XrkwhCatSV`pgeQh]fV^@?]snln@yrqkCPbYnbX?rFH]mnqoioigewgxOieWgeQfenGdoghoirQvevYjY^yZn\\EHpevitIwaH]WviZIjA^^Qyqcu`wcw]w]]wDcVFgsJAtJIeamesYfYcybYBY;y:SIUiCq[ujurWsXfGUmoRtUtSYRrGy`YeiaimqsXquXAYvkyEyUxQXHaes;FnmtEcSQwxvsef;YwUBrOcCgVd]c\\[GR]dxiyeGTKerm?s_;dleVl]E?QrUubEsfeKeycUR=UmcTvsyVeUpEDFGe@kiJIDAaUqMf@KseGfvYsbEsIQIYwEcCuF[bpuXhYwBwF@]esod`Mhs_eKyXKeBDWw]=ciGF\\ayLYgwMW_yB]CGWgGQoy=IT=qbomG=?hWwB=qyGIrHysZyI=EUA[djSSlcUDME]OYSgc]]b<GDjuxaoVBKu^cTdif\\ybrmTZYuDYfpkv;eHXoEdgIyQVeIbgaIvaU=GRwKUl_vLuxVgBBQH_UUI;dAiVWCcCGGlarLodJwF[iHIeREIDxeCfcdW_vdccByFKWc;=eMMw:]xTSRpkFcOx^Ws@SsqAUToE@_bWWeUytS]f]]gAoI>oV>;WZYitoGLQcn[g]eGfsgnQD?qvnIuFgTtyesYYMahJMgmwYUqdniiIkWsEYgaewUiLmGhWhHKURkF@QY[;wgmuvwBRuyxwS^MfdmFRGClmua[hCUTZaemCff_GTMJDhMp]M=uP=Dpl=n[YR=Ytc@M[qQt`U[hLJAWcXRiITYURv=x\\iNRLp\\utxIJbAuItPY=mBuK>\\J`IpuDP\\<vG\\oGEldPxkimY\\qxmwlyq;HXg`t]\\lEIx=ml`eXUAK;yLSqRvTlBDTxYwB?m@Gn`iaLNvOnjbHh;NcAie;GvnO^hQ`pXiMqnGwyuyqyYqhgutF]PNlI>yxWZRffQHgThdOgdFX_YOhCi^F@\\Y@m:xgCQrogeQHfgvlYoisyhyXyWohGY]p^gRYqqwwIqipY``Gjnxpqx`of`gPeoPgqqwWawZQkDPkmysyvyevesQ[uPeJnut_jJVq;qqxpqevovPxUyuxqxYpynynoXgQQpuwfqQdXoex>`j>rHaiqiUQxUSeUWeQoGWMC?KrpYV=ghYCBXwDR_ca;FgceCuRfuB]cS@YrFkxpARIuH^Og:=urEidIGAuEpESbCtJmgxUDqEG[=W@OesiVOyStcEFwsYGH[MWWWTgEVM=iQ_fUExwoETIsiwu?siwWVI;WusRcCCn[tokrZKXbmwa;RnItaSfjMU<?dJUwv;EEgd;wIFAUYMXZuUCeSggWSwgiUSlKwFcE=qY;ebTWcH?i]wdwyb>?ir]rBwElsi;Sw`gFvmD>urs_EaSsn_v:;dE_E>AinMv^QteWceysWMBIyiN]ihIIbAYOKTwGIWaR^KspGXO;sJKRI[uxyTP]IUMhgUiuwYeUREAi^axpOsDQGVCcd=b<yxrycb=c\\SWVEHDgICuI:osHqxAmThoY\\IweobtiGUgCfoIq[Rv_HuKVHYyhgbqiiyGVKQVB_RrMw<GeEoc;=UdCv`qYTkUQaU?uhe;GbKvX=CSKqKtuUqWuhwpYuiuS`Tli=o]Qy`=PTpOM\\PAikUtXOiTQErCPKRHsyUK]qtlUvExUvQVGeSGyPxHxGhwUypeMmpYoYeyDhwVEqleVxYNmmvFIysysymMGpR_Qo<`ORPs@PRcqQyHy`YmeQwdAueIj=tJX`YlISs@sZTtXEms=PumxfyoyeyeijphKV@uJAn]QKG]J:qnjtyWdX[Hu<]jQicKw]b_lRF\\NfsP@mePwTx_iQw^WtFan[h]jpf?^ev@mWV\\KNnC^dIA^pVkAPnHYkjY\\EgrbWeHoqrv`Ef\\rWsryq?AoB_siwjTfvGNuov`>yo[_uPhqYPktq]oE]gJMIK_@o<EnmiKCtm\\XOvHkaplAiUtQum<vmatXENpDvBtSshmoDuNmuCpjQuKhuj@tMD`Mx]oAmojly`@VpxvyIWJ]XBPO_AKMPxoxqaEUr@VfXNl<WVmyBINYYv[Emg`WbAjGLJ\\\\yFyJWARxmlqEnAqWimNcmUEEj>Tw`tUJQX?yJnDvUit<ERQhrtdLbEUKqyIdtMAOFtmrUkXElmlJW`yO`LXLOUtTHUjKDMRULQ\\oIPqiuKcLM[QrKysVdToDR<@WlqocaTmaMDIso<PcmNImjCLjKxLY=UupVoEyXpxwTuppSDmXY\\wTqYHESKTYfLMDUpA<Pedy<\\w=<uuuQmtLjDnthLQyqryOJat>TP`HxtAT?eVvauptwK\\NELqVENjYRd\\j\\eQfTwDpLVyWBYJtMRkXPNTsyMt]lmUdp=PjVXl<dmraq==kw`KCPuEDLr\\vUqYmeL^ItO]R[lY:hQi\\xGLoU\\wChjPTqYuQ^ip]apfxVjTUexaqpfPgaCV_yQtlAtiNerg\\gVkwqtwnd]ww:qwWWkhVgWP`gHvMvmD`lQ?dGxy`>oZY]K@xdXgsyoAwg[VZjNe[pt:f`:?_b^mf?sjIgS_umaZKvh@YduQytqgvHx@YyhYqIows`wlXsRv_y^mHYfdflLHvn^wTwrIx]iYyxphLgvdqoxPydQlLPluywyxyXYiiiwbAwBya;QxlQxYoylylmwvHilCFosYkNPjs^k;YsJwmIvirYrGf[GvcvFx>yhyXyWGo`qsfFmCYlaviyYyYymkVf@WjJxcxfo:XhOHmrOeOhauasSxZI>rwXgZ>f@QdsV`Yo[GG^VGd<W[=OjIHfEfnsx]BatlOdq_re^twViI`x[ytIWpN_sDI`GIamOrnxZFi`j>l@`jHnfkP]fqcQObYNhUvkGFxb^`r@gdH`THjBXtAv[>?]wXr@^Zv@ZQGeog[]yiJGepqmvxcWwkGQmw@qohkgocewuCVwPirY>y]?hZit;v_MGrf`ZHohwGlOGs=ppgW_KphAPaiwyIqyhhquqvVXuVq`k`wlXoTfraGbBfujHp[^xBn]oIcaYZN?i_FkJpvN>TwHe;W;EXsWvrYIT?eSuUtWw_EH]awHWf]mgRgVTmVR[bSgdIqinoVGUt=aiLKWEKBWavxgcFCCmCw;GsMusU_ysYE[]Ue[dNORtcCkAcdaDDKCDsRA]u=AH^]hoIbAkEJoYnIUmoVkkiEAYgYuDeIHsCISSygHuatCit@]Ut_XcasSWHy[x[wCkkvW?S^;E]sdOmdPsGX]GO=FssDNGUJmiYwT[udu=uYwvYwYxUWeUwlivEivxmXFSYOgdGeFswE]oR\\YEWsSb?ruUrseb`WrrodlGSMSXlqwSIDreW]WiiWrdcG_iHP=ia;d@wWFgIg;TIGITYs[wTkofncHb_c;Gx?KyqSDoodm[xCkGJsFacdfKvheIhUbS_RrWBIEhJosJ]RxAI;GFnUe?]wk?w:EW]=W>_fDAFlEiw?X;[SXqeSIUQiTSAUYABDOiIGWBuI;WTJYh^QENkC<kGPoEd]IjyWNYyEQuHkuYYHruswEDiwBJodnISkEy^IEY[yZ[tOQsdcraoYXQHpiI[AEA]HFcUYwdQot]GTZuy?kEN_D=acScdQcG_SYTyxggUuGYqUyZuYYIEusUkaineH@]FnQS<GvBkR]QYqoc=AHaivAEv_wR=yrxuC_ihjSVH[SVOWq_H=eXgKgcMnhPYNhkGmj_tTVEqTQKLdfCQ^?qqZVwx@]jPnx@eA>\\=IeD?qJivvovBGoW@vJykNh\\SGZCvsBywkYhHo]Y_kA@ay?gZrrKvekYP=dZCU<iEcqbWkR;YCCGEFSxScVwqSvWXA]xHyuf[uxQVJ[FgSfBKr:[YlAINwHImeTEY_iVJau<Sh`Ehm?YTgvAAhS=HdQsjmYMevbWGb;GVCerWHLOIj;HZSGLoYsYsYmIqaumUxLQciECSesOGxWaYlovCibnSEdSGecVg]tq;ELSF]SFFOsmWiEKb:mDcMBK_cUCc>]f\\SI=]HTcWN;dAAbB?vNwvSSu<KHieyuQDYAtF[FQ;G<kUn]eDOdY_brGgGssfeYoitSyNftnqlxv]OMqj]eLNPmdqj;av`LtE<UYqvIUoVtrWdkPto`MxXPkteRixujeqfpmWAqkitweT=dWOhooAotpq[PqNLS@Ajtmj<YqV<k?AK]\\nVmKsijsxKxinoxSy<Xyip<HqSQqCdoMYSaiOruSSMOsHO@HMvqPeqpNmje@sdIWBxWPiteeLOTpa]s`YJDTMRmtx@KexT:QoaTuutp@iSfXMH<lFmQ_mQwLPJHwgaWYQyl]NKMlc@og@og=YkmtsUshtq\\LTSUOolX@pJLHlrEkhHPuDRNeYBiJ_IsZDMtMNbxO?dsNAqyDjlXKBDYbyYtTqiUupvgvWgbxqaOw:qcEwkTOe>pZcoaA@^eQrewa;Vd`Pr\\XplWn=O_On\\uN`Zne;Gb;GvbHkuO`S`fiHoNOoohpoQlEo_KHvZyjMglKh^eYxZwjCgi@YloWffYoSiZjafcFvTvfQv_]Pf^o^eVfgA^<YiRIffOs^wgkX[PPZrNp:`lvPhCixSymfiephminmtnlU_ZLhs\\AdBgpVhwVn`eIY]RWgWpsDugd_ETh_sbaFnUFFKT?iUw_cTYsJEUYWCXGFMcDjit<QIcwRueIKQSB?HU?dAywxCYjivBcXPKrfmYwKrUcDBuhyGsweUh?gbKWWOVhSW<wbrGUBUVvCgPQs\\]fg_CYmu]aErACsIENyX;KG@?hdyVXitMewpoVVmf@YfkwCkkyR_TpgCkQGtwRhOvc?tBcVgcb>CbH_buyxOicmqxvOBpEGJIdQMceuvGEe:Chbcs^eFOgd?ys@UfTySCudfkfsCwM]rtUGUCHleHIGgcAhhWgEgVEEIXOW<YH<mGhKEV=Ii_w]weBkhgUwSUx<uYQuXkQua]XWQGoyxjWh>aYikbKeBqeiF;rjABnwWdmYhIYr=wc=XJ[cY?BEquQ?gf_VACbIEc?yRraHIOtAqH[IC>CCsKVRKrEqSrYWv;dSuH\\oTn?cLwsD_DUURRysp?YMOcEWxAugJkRmQCZsfRYF@UsV?RgsUqYE;Are_sDaUWWBWAhmuFvCyjUrdwFlcEiCu\\eIQKr;YbhkcdeFuoIpIcSWx`Ytssv\\kH=EIp?iT]C?IcJ=ywYfiEVpYG?yR?cB?WFLsXJCGAeGgcGgiwgieWgeVOGskSXeXkACByD^KI;KRJwW]YwKKyOOXUGtqayp_xQwVmGU@Er_MscEf`[S[iIlSW>mRKAhw[wZEiYMc]mepmSq]c=XK@@sxQpfPtPqTjMW[TuaiJ=pnK]lGQXLaSCDRTprwQjAqpCPl:msSXrhmVJLT;tNv<KXYNdqvn@llHKkyKI\\ypIvwAn_DrlHN==nmutehYUXWHAvoXwIeUtinj]q[Tk;TkT<Kn\\[KidBnjtOqMJUqSjiLGAtgdodhjtlmWUjVTyw`XY]uWqO^mvsim?`jITnVmoWUMW`OB@SXQX>`KGTMKXORAmfarUQU@IrVXpdMyuIvqeXjXXU\\V@YRiqYBupmIt:XSuXNhDY=Er]dy`quGUYWaNsEychMUtmemmndNxIrI\\Tqpp;hlZeMDuLM\\MPTwm]P]\\qiyrstXWulfpUNxo<UWY]Y`ypyHmvHvK]kGPXMXMg<LrEW<UWDxn:IUaysvPXs\\tNok=yiqOcsgl=WrNHo>Ok[X_b>_vXc\\qikirQvy]yaxY^]X]]qrGXsAGjEwkoYmKXc>N]GIZwFwvpdXWjn_YOemkvgSRUiF[wsMCxnMIgSf:_vAMxfaUQ;B[kDSwK=qxIhwTUS^iX^IpZTme\\ntttvmvtUXHhW;eT_=WNdK_Xp?=oQLr;]yLQYruy_arkdXf=LchUBpkvmvqMkyyKgdYbhYGYkOXwRhMPmRKhK>qK?hQ`Qk`YWRIye\\QsHsJyjymmt=J[@TB@r;LXRilx`Suxyv<qMLWm`ilG_r>iT_ohO^dPk`QZfgdg^tkfk<Hxm_tJWaNy^vfma?edomIYlMWyMGwAwmH_awWiW?sbPgSHnOwbxNxK>eroHOBiKh@ogFCIsUXSOvMmBh=ERoRhGSU_i<?xeirJ]v:MS=AblmTIquFucRkS>UxgUeGcix]hBcHpkf`sSp_GeKDtowJAdoQu@ixesT@yEt]X^=higFbacRcF`KOnXnKUnFqKbEuopLTyt<YVymJGQtUtVbiVO@prEKFUQ=lrqTxiEkmuOppS>AOKXkSuQ^`S_dliYNstQttwCXnsixvIRuMnQMsCQTbAv<`QG`YhQYhLlA=W^Ytx\\ocAXQYTjav]@ptyTmMJyLsf]KplU?\\uduYsLPs`otpOuykqlSRpQ=ykO@km<UsHTKAt\\Dqt=oseXIauyLTjuUppLOTR]@nZ@X^LvxDWLanlPplpqxpqixYwYwIlQrAvgypYqyH=qKEnEmy^LoUXpipt>LXvISbhQ\\EJ@]rEtodtql<NsdQ]dvfAJcIkaUYlIN:]R:mwyDP?hnHeO^UplpPdMuEQQN@pA=Pn<u?yVPTnFLjxhYutpIMV`ikcMSXML^YrRuyd]T<Eo_XM<Muwtn>pjYYWOXTCdNlMO`ulY\\jJYJCyL@LYZpTHYyNLkDQonQSHUNbTnE\\TAMkrxmP@ONiRK`xkdlTgjov\\EwZmffNoqrppgOZUfoLHonGhniam>y^Ieuxvu?k\\Vtn^vZasQg\\nga^FZaHqRVwsnZIW^Kf[Xw\\APZHhfCa\\_V_XVjCYdaotNQbEafRypQnmXG[wxZZ?q=?h\\aq`V^eAc=^g:NwYQl;AjpihogpvPp[XiXamDPsDatrIh_i\\ONqp_imxtSatjxhYqmDyewQn]hiUa[]F\\?`\\INv]WrQNk=gxnIeQfqYNe@IrvHy\\QccV]L^i<nrbh[ZIiVqeUf_c`oZ@nZ@hnarw?ir?yPYeigyCycxOxVYhIiwXiquY]YAy@arCX\\YqlhVcH_iLY[Lfq;qrb^yMOyKyuvGisGrV`y@GvaP[GAjk^sTId[yq?XkennH^`^@joob]HpPYlV^orYmIggt?vXQflhlWVaGh]x^mLfbDIuyi`]AusnjXykQndLwfLfkJa_Wp]igmGpsJAofxw\\>qGnv?hZf>kjHwHw[nypeGtaFZHFvGg^Z`iKqnYNqqifH^afio:@givmoHcrVqaHvDPvmolPfmIacWvro?qwXnN?v@Aa>Qm^o_thm=otv`hwArlfhSo^]nsffaqVZuPaagghwlVpiIpd_GeHGgMWlSVkeAfkAleGv:hp@Wvuq[kwyMSb[eUAC<UrRcd?Ef>WiWIYCch:GDpExR;db?HFYdCUH\\IgRqFiiv`=TjmEEWWX;tLsbP_deiG<ecqYTY[wbAuYOy?yEVaW@iujQHPahRqioeFkQiLug=URPEg@ifmScqaI=cwIgrXScaOh=EDeCfyiyyYbCWhZghOwbxWWtGDo?FUgFC_B\\YWCOYx]xmCiUOb@]S>=CbEV:qFm?e[YsUGvVOE[=rb]RB_V?Ib>[rMYh;sfUIbACBCgYkqbCYEYGFXMiVgS\\CfC[tguXkESnoxCYWh_idYFYsb@GSVqTkYFFQea_yXIFD_rceVoYTvKu`;Vn;fx?FM=S_ige;Gb[iGCXIufMiV_eVMmfFEicqfUoyryrykypyhygyFyVxSDGoRygxgwWwgxn]FZYyxcfnGf[GfxoiXeIVIh?yHj[BxKHnUbQeVlUGdOg[Ew_ChOss:uibeG=URjQxE=HsGBFUrrkf>KbSABmMu`eDKmuJUKctke<l[Ip^ix;dQvtnialFlLBdjJab<AoOFllXkfY`TPv_xi@x\\:pkFoohO_=PfXg]Ohx>Oo`vvMy\\FhpmWZIXosXx@_uqHfwGuWwhoa]VUcQFVQspSgyqxiARN;eMAxcEwIgEgiu>?DWCcv=bb]hhogXkiviTxwXuqHbyE:wFXcbXqGRatIUrfKtGAFjaXKCTAEGCoREQYmSb=yIsqtMcVMQWUwr[GxGUH`asGmTkGVfOE_KcWus_oV>SCWWETWXMAcFGVxksJmxO_ihkdQgB=IsIsHVqt\\oYVCVWwTN?CLUUXUwWahkuuhiumyHvkelayRorQgWo;CJkRgSXhSbEsuy_Yk<TKEmmEW;<JPmSoeJ?vrT@qAO^KpmXpm?V[P^fmHesTpIuaeSMaYrIvAwc>qwJKGisGyGy`YeycycySEQCAMCiiGBMbCmuVmEJCxLYSL?U`gY^EE`oHxgVQMFKaFBWY\\=Xu[umYYlevsQeP?tomil[y`mxxqw`MgD]TDqUQItoGSt[hQKi<=CA;S`oUigW:ihB=iWIEOwX[=cYef;WRZGXBweTuCNCyvoTFoEBGeXYH;AiKsygSVdyy;KYuuvhIikIWH;wlOIfueo;rBUUCODluE]iEF]rw=Sp=UJiivmUpstqgfuMIo[Sp[gmqylyuM=Yc_Txqw@QuTQiEyGpAh?QUBgS=mG]MFtWdP=eIaSKYiiqVAYthebQyrkyih_ub_TQIGRmuEOD[YuPablQihsx]Cyf?DZcc\\cCcMFa]B;oD;_RcWU>ySg]dOWBUsXh[iBkBMgQx=WuYWU`wgTwwutgESouVMYR?qWLqxMiv@tSqiyUpmo<twaMWUJbyX?eVTEKFqQQtUkenMMT<TTUEqkyMIPjiIjMtprYlo<keiJHHsf`Ja=pAiYcem_ILhIUIdXpLLPdsVpU^aR:ix[Tl<xNX@pX<quHWUYTOmQo\\XN]W\\DTqLuymqxESwUWUuvAtuymv\\XxJ@oRtr?hOGTsQTo?psJ@qqajrhUfTO:UtqlKQPVcmJMQjAqnfUY?dJ?]uI`ypxvkIO`lMIxNLDkHpkHDyaYU<mtcMnNPPtxs_LJ>MqaIsGplK=QP@vLqOt=L@PQ@akoXP<doKLPcmrF=uwAMjiRXuV^hyOpnQiVr<J:<\\CSJcTFwB]WPOhS:urFYygtSnhQRiynqjOyJLDOq\\KyqpyayEyLhTtmMQODJg<mcqS_uOPxRViMgYQB=SdYuTQLJtp;QWcXWlMRwtSv`W^EoPmXTQjkpXPan=ESnUtcqmHqo\\lth\\kD<KHLjHprIem@qXaeuf]rlMrJ@jpMQHXoNMWhAPtesFxMhLr=AOwlsG`PL]nR>dN_epqy_gfEql;IrwaaHnyXxeqigUA=MeIsU[sDP=RfASWQvTqSn]VbSvSWWX[WYQik_flOWQabPgbayUZwGxsC>=TxAsJAXfCTdGUvKUAyx=sVb=xHyeyyxfgiugIiSuIUF`gWYwy:Yrv[XjifowGf_UKeYyieASyqiGBGWpoemAuuato[eCWxiwyf[sxShhGduoEBwwMKS=cCSMeCMxxKDdOExOb<OJA]uwuuq`OeYKY=y<qrGXM]DlBmPUhQuawmHuX`XtdyPxrEAQS^pdWeUWm\\`wiidBH]j^\\xGbgvvTV\\yAx:^sJFqNVw@f`>P]]GdNwAGCqIxCDpc=JGQxr<YFlLOXcsynbN_fp^mqgZYbPWZgXZqyaTfw@Hhw^gIioWYo\\IfsWoPQsGir[wjuAp\\N^M@eyf^aHr:AjJAi;Wujh\\TyypPyu_uYxbTq\\;GwYInEv^ZpvdnfEFbJF[]`kO_bmF\\jge_AhYVvpyoFHhQVu@GfQXtrGyGw^BQhqXweVwwi`IWxrixjA^?Id^o^Dpov`[DXfFapMI_DHt:hxh@bNn`LibRijNG]q^fZaycnfvp\\tVkmouqGaX`vXA_Rvf^^j`o[CIm\\QplHoJ^l^wb@FZ_wybOmIH\\uxwN@xxv\\C`kQN^nI`wP^xPuPnrVneZOnt`]`gs>XpHQkp_h^weXApeWs`AeawciwbAawHi`J>l:xbRXnLW^Eak\\Ho=v_[a^Nwg?QyMw[:Wv>>ohxjEvsEh`pFbUW\\m`Zf@ccvpaXtSppwXa`_xha\\<PlO^weGvohsjXhANqmqktimeYwnHl`Pn>vkMx[<i\\JWpbGuANqaysdvob`pP^_KFZkAua>vU^ypNvlvaAYxSqsF_cH?rAptY>hhni@Vrc`mo@nZ@NOh>iuJ;i_qdUMHS_SfkDMOceKh@StKwsRwTVEdvkUwKvk_BAqvhAgZ]dX[xqqxPGXawHochN;FUYwcIHeOg<MF>WdIGDRSWaKVXsgk_e=OVIuVpciLoWtax[Sdkatp]UC?g[GVBewgquIkVPwS^Iu=WGbIb?wBdWwTQGSSWIcV?KuJYvqKVesfuIWD_UjCCOKSZYBweiAkxDsRl;YnSRAMtOcsg;bJGWbMFw[UECEmYHoYtgID?_dtqiboYgWVpAinaYrCCCcU<=H<arJAinQvbgw<]IIUrTgI[MFNaHFEYyifjww:erwsY:gTc=wYafUCX:mrZMie?c`GhjQHradbIu^urpicCydYSuxQr]iX]yFpsUqeCy]wggrViC[IY_itoAgyufjcrM=RLAxysySYhqgYjurTAeMms]EvCAVPyCgeEGmewmHfci^oWhaXk[H[=xVMVrkb@ice_U:UD[;SsMuO[DNkcACXIIt`cSM_gWMDqYFNmSoeUQmDsKdfgeEkYKMYLih_]DHOEnsrpCfJGEmgIxscLOr\\_t[cfvsHF[GWiGeCrC[EHCdj[VmyUjWWEYWMOGd[fBIFbIyMgvcGsuGbw;W:gVfSHQ_d@QcygSiAvuOw\\GU:iwnuiGkVM]daYYs=ua[drkiGyi]aDEGBgIX@CGJYiCQgUaxQEF[[cFGvBAi>EuoEhesr]IxKsduguLmD]eCPwGXOYSOxlgcc=DkYy\\ItyKxWSbjuYl=vraB@kB[uwXQwJydwqGcYvdovmSbLQDWUt?EwKEtXIcUODDQvkEh=Mci_eToILcwGoTfsCiUv]SBLSVF?UKWCmmI`EFAmFHGdCkwt_yn?UC=CJ;D=qCnsG>]wHiU@]uMKvkiCMUrJiHUuvAAu[;Tq;R@_guaWZeu:OhbSEf_I^AUpGBOctPatS[F<SIquwTsuYyiiusX_tyuy^uV`cIkwVMSedOVVYuw[TAubdQFrMW`WGref=uunGde?XHuiFwCp]VjoX]qBKccaGB_YWHqymuX?QRTEV];RwGGXGBEweySvVxYnYlHau_=TX]LbEniyJ;TqdduKIOYhK]HUXeUe\\psmntDpriYslyjtkEysOiW:uWRTN_emcEyEQs^iJsarFePx<Ob<O\\qY>xx^]TFTN\\akoXm`HOWEwAXN\\QtMtsH`VA<sllRViP\\@PP=j?@JmtmOenbXkZ`va]sRHKGuVRYyq@RLiJ^]XomXHMVydqx]SW=vP`YkTnK@kBaKEDVjxvXUVjyy@qR:akO<UP\\xNhX]eXaMYYLxqHRlxPQlJ=Ew_APs]YWAYQPqK<kkEtuUkb]QX=RCdSVpqJAYj<KeyTxusphokytp\\veywNdRe=vLXoRTWIaVmlKuLs:ALJ<tnYtkILkHp?]JLANZ`QAqRBlmU<U]]Xw<Nv<OIXsnLk?@kJix=]srUq`dS=lrTYJy\\NSttDXQ><S=URwpTXEtvDV\\\\lPXRQIRrYtY<NuLJUyTXLKeIRTlsgTO\\YJUlmqeqKPVv<ryPmyARfYWsEU@dSd=tB@QoUREPmgTpaaOTMJmqL>UkE@R^EmlTY<xrAYxFTU=Atj`Xa=N[ijaDq[=NNeMXER;EvRTLqeUQIMs?sTI__x_w`xLv\\tPtnvuqIuXnpwVgPa_SgtBh]IqegV_q`uYHs^_fBYqtOsii_@F^BP`h>h:Fsy_wVq^XfxgIak^ttFZ`ieOqydyqqVjE@gdOuiyyBnm[yilYl>NbU?c<?sJGoJWlYfiqfpMGiKP\\=ns>YhTgpCxqRYxbhoUV`LhrEofVX`k?p`nj\\HggVglIqVA[<Ni\\_eH`br_ZmPvh^fJA]Hfj\\_[Hfru`ghwrP>^L>lfFxfWsXibqwanHwkqk@i_Jwe<fi?A\\iFyE_xehkTge^>kkntXNevIea^fq^lSxuDauWVtjfb;ocI_xB`orgp?GyMwu>aqu_hpa]vqsyxdngocg^=?fc?\\>xswovUxvy_w]?v<XrT?aQ__^`rF_j[?]=f_YImVFeEY\\aYqiIop^mVN`yivm>a\\I`iOq=^drFdO^m;fvAg^nNesPgnA^AArixa=pg[gu\\iyOWnTXjW>kjiwFIiaYxmvibQaxnbgOuhYiXwvYpwTqydqr@i_eF_oon[q_JYcdgyg@`Tvq`yjNAb>otyWvtcNyUAMy`OwsUhheyscEYuH<;DEiUYsIB=wUEEsSYVusYMxbiyUgRiAysGru?EscDN[DHuR\\qeaYwfUyOyTYei_qdUmb@obP]gREdQ;c^=c@UfEoDgKV^eyLWShCijQrEsrGWEAqFOkX:SyNID\\QWNkrHKdCmU<;Trme@KitKstWIMqW`KWWShlab]gVLETk]fbYT]yGDObMAtV]U;cVkCvSQH?MIQCBXUDqavt[gcsUVqrTAW;QX`EuTQIacDC[DY=HmmwS=WZeHnQB_]Wf_fHUg;MssogjQY^ESZUWt[CGCx`_vGSEF?E@[i^CTkEXCsDEEtmaRHwBQ?WREc<kE]=UGisFweqoUueUeayW?hkmHV[wZwcwyCkqBneE=AwfkVBERUKeEoF^yi>syyCv?Gwrwv:[tfufZ?fjMdCWIFodBcusWXaQr?WCeKGdKit?YOWYUqhWut__d\\[bRYOXDY>hwvxwxXyxPyOyoXaXMiSfiu>MN[IYXps@aQO<vxlvkDpGiOdTj[aNUakkHMH@j=@OQumP\\kUMxMItsawWApOakbHUR@XsXvdQU]QJY\\yXLQ:AskuPDUMBuSJmwwPpwEtLXRIxO[XmpIXwhUG`Vrhqd\\TSHNnlKWyLOaP^HwxlLH=Q[Xshhx?<LjLOYUnO]yRloXLjKpsKhy_mRcUUKUPYUYJPtTLQymPc<sBTQSmRqQOIXyRpjZ`u``vxMp[AkY\\qLHLy@rAhxidTGtx=@oi\\XJytePWTUoAyP;pkrPpMTvhaQ?MjLQJWMm<myh`W;yX<tTvlNE]qtLXC<PQ=rPTLYYjCiK;ardUwVHmJPSsXmpuXhyuOevqqJnTMQiYKuRGdv>EOSHn?PSkltFApB`jcUl>ENehLaarw]tmlTJ=TrDS>iQBLJf<XyiyqyYiYYYYK=Alkpxb]PtUvGxPhdUt`lg=sj<mgXUqpYcYSYMwbAwZULDiOq`ulAy]ykIemtdxpYuiuPGUlWHjgatndvVLMMAmvdtjTXeEsRDWZYYTIxBlkLTLgxK^espyLHLuwIRZykrAotPotDTNAOx@YN@s>DrCUvwhjDix\\UNElUAuu;xluqU_eUZPXVeV]\\tn`pHIvQHMVPxD=QDtNXlqIeUq]vhXQupKfaon@JcmnhHWrQjeLWAik]aOXHU^`WZdnN@L<<UqISZ=Wd\\JkAuHajvElF@jEiTX`vvyLrmYJHPG@oGXvZUTidt[MtvepB\\vM`KHdKMTj@hMalL=pqx=sNXj]UoADoZ@njMtBXQLDyxyyoyUyix=yMxAlkXxB]NlEt?uLWxXXIYQqUueW_eV_`MSAMku]TapdQwdoriyqjiji^qrQvEXWYwuMYtmthgUusYxaYpqgiYyD?iIGXNcrpAETUGUgsjgE`sX;QuQchNAHICFOqRMGU[sgUGde?br]TjMhvaI;?eJsTAwBxMDv?itovSkyAmvH;cnkw:WU\\;vNUwo_H^_BU_RmscqasSGsOkY\\aiuKeeCWBiUgmF>[IRub@EuuSbtuG?Kym?xQus\\ytP]cuedWkYPqe?svqkstGCw=B^YFRcYDKeJ]sBOTKUVRMSB=GAWyRobf?VakDQMXkSs=Qfk[rAWtbWiMauoaw^SC][w:cricTFeibQde;UyQEgUGJ;FPAs_OGGKsUUcjqV?MD?Wr=QDxiXSgX]sU_aDbqVvUskkb;qBGqHDOVn?gVayhyxTaWUOvnCCBoiyUupyeXQHkuspkESSb\\mfSCcYqxEmycSgv[C=QV`]RogSRKvvoIM?BAeI^eB?cbMWRVIE[qxvswPYUieVfgi\\Of\\aemXXIiQqav`qMIYViQP`uQv\\QVtkAysxTyfutouYyYyYyYxYxYxYrIvAXQtLQRYO]lwL`ueDOqIPH\\JK`RK\\M^YKrakgPlHiuB@Lv]SIyOdDjmMX\\UjOUTNMlUym_<LCmnbmN<`MTlvdejY`r<PlslNO<soaXBMY=XMBqwOduuINhEpXTpu=WZUsZqm[Pn[aJHXT<qWb\\tneRn`LD<vuqyPhsBDVMAk;=tIQulEWoePRQrHdnlTKLXooEkdQofHkctWBIP@`maPPNyXJHr@TlZ\\NHUu><Pn]jLQYRLjGYonPLDijSDYvynhMrrlU:lslPsrXX;uPZtOXEoZ@nZ@Xl@kuTrhhUu@MEtVUTJ=TJyhygyW[@nrFwAwsQnf\\W`DWcEWsoytYwmDgnXhipIuYcrirasIsIsTOeTwhgot^?xXwRcEcssXx[WuECbcgkODJ[f[SH<kfHMFVYTrKUMCdyYDxlMqAt\\QOdMlPtSAeX>psyxjVYsSLYNHL\\MPr\\oO`ND@XbXpcax>aSUpkJIpBiuP`xKXkcUQe\\QhIjShPneYU=uyQMfuY:AYXLUlEvwyMmxrG]kphPthRZMUZXYT=Sv]W`IwxDRViKB`jX`kl=qIhXutpZyMKQQfEUsaxkxrApwxiUSlXSHxu\\oQiraiUjdvmuYIdsg]qnpNmXxJlv?Mq>uRb\\o<MmmMpVLw^MONiyguJNlyR@pRUOMHxhIjjtx_uohPSL\\Mq<ohHwBUMdTvK<jK<X<=n`AvBAnKeVc]Wp\\x<LTHDuB\\RE=uf<mNQVfXwPTPEQkLASB]jPakt]rDLKDtrQtjoUyG`kF`oXeqt=Yr=qn`pnYOYEyDHVRTR=URseSqmsNMpSmrQIMMunNPSOAs_YsQxUoetO]WUHtwQqtPQFqRAMo\\DYAay>=STTUT=RelJTHJfXTixkodMjiy]uso=QImN?Ik>tTo=vLmtT<qhAXd]NZiVc]RcqlJpJ;DQSuk;MsBYS[HYpQPjLPB\\NFylJhWcXWTHVFMvfhQAqoNaxh@xt]NMXqp`o_ix:ESJps^Dn_hPtDXLTW[aqk@VGdk`EyA`mrMTdPP^lkA<KZAkgDqwTY>ImZ\\lkeSvtoZ<xwlo_pPtdUdmRblYTDQtDx_@LHEuAeJa]LN\\LNlkalKeIXQiXWHllmPXdNMHsCTL`<PPlmB=XwAVSLR=AusTu=qy^UQ?tV\\YySYOulmwXQoMwNqwhqwTPmTdxvurxLnkXjpXLqQygeo@\\PIdjnyPyuXwiXydy?\\\\c>pHfZchiQGdr@eR@ZXHl\\_irP[nAc^`]tXnZYiJ_o;?kFgua_yW>[__hAVg@n^T^]iamwverwr_pgnnloW_oFbSYvNFx:qiI@ho_sXiow?dT@j>G[^wZ[Ppxojo@qFfd;xvjYs=_rENbMOhqG\\O_n]Gwtx\\vFZevmuAe@H^B@nindfFup?vLVrIWhewwXyuHW`AFyix]<qwLIxOwwu@Z\\n^uy_:wom@fK>f?i[yQqY>bDIaky\\avl;Xru_H_sM[Elqyb[vu=fV]BmGWSmt_eXjihFey>yvIkC[[cV[U?EGWoWOGH\\wUfss:ebagU?sic;Gb[eVMvXwtv]VRkEXkVu=EIwh?]s__xrWslAgjKEySvuqi[=ElcfouwXii_gf_Ow[qeP;SaOSEUsfQvCqyZqS=YE\\UI\\Cx>[rMsrfayvtOyymbdy>hMGIUTEQHYjjIWhDnb]NvajIAmmdLH@SgaV`<wc=OaiJo\\PbLnkYpaqOr`MgIymuuhMWRxvSix?QUkmkoHKRpj[`Y`xnaLR;Lo_QjBaXMHMXHVIqjoiL]dqVAw^lQe=MGTLaTsX\\LLdlmMYLyYjDxTMUtEsApo@XSh@JX=Rt@KNMvPPj<Prc<SVyj@pjDMSlE[qywYycBFk@GqpiZUAfNoeQixvotc`uZwovOb\\`pdPodXquXelAiJHovN[]?]?gfoyfh>jEn_TNibqmlvhB>`T`wM>wditdXmsYq<yeB`j<Q]@wwdh^boqb>j<Yl_NkLaqbYyWntIFupIZTYn[^u`xtEYj:wt@_[<AyuOvrV[cV\\=yswWvbQ]<@l\\wZ^N_appMq[Y^yXOuaGg;y`ZQsIidF^hiAwWhjao`[P\\DagEFtUaeKOocvnmw_EonDPuFP`DynBgpbH`Gng<Pgrf^voqP@wU>pswv;yevyg?XqQHhrqmJhpmOwhneFftOHeFYhb^oVynHfqLy`wp\\Bw`c^qW^r]VcEpuaOsT`o>xay^nkqyQP\\w@ePikPIkbYvK>s`WZaP^Thevvsp`bqgsZ?toqi=xir`d^y^Bi`qH\\kIo\\gx>h\\N^<qII_E@Cc>MvVWXHIt?oFqYbIkIrutWuX;?gxIfcMUJ;sOgYR[EV[Vu]F;uxvswpYuiuigqhUQitOiHQIeaGp=E]_wsYFOkrl[CWKv?EuFAdb=T@AsZMDpsWtkVasRBmTh[vkei\\gHs;s\\]hquEV[IBUYtoBtoxqaX^iiQAy^IhQseuuR[uey=vciseoEdAyEQsXwDq=Ld<n^mSeaw\\\\rwxnSArg<VHLKaXPq]n;<tKALR\\Jc`tXioU]nGXkKLob=mNQPxhPaqTK]VvaTrIq>Ay]tnsLrtHqaYoRmX?dJ?XlBNkBn_iv_YOp^GsEv_v@psWx`yiwytygohpohWgeWodPoLHZm^[?gbVyaBAusxwuyavIvIvitYtYpwUypIHxoYmhOqCIhVFmnPoXFxRqbbYZPa[b?ov>\\kXgm^axWq^Xii^gWI_WAj\\^fN>pNOhZxbpf\\YQ]=QmhQvJ?wVX^=I]@f[iq[Qyoy>xdyrEqyA_nro\\=GcsWatyxrnkOhf]amvAeAyxxg`cXyLXqkF_Dfsi__gh]>_\\wo\\yyxpWgw^dUA\\Lx[fGej`iLGto@hHvndQebOnbN\\tX\\H`hvXvfokqHh_F]xxj^aihQoEakwOvXNhui[kqs=ApewsNafivhwxjJydVQepGrOGwcVd]Fxr`x^X^JHdQQpmhvfFeXQeDNfYi\\E`aTHZE?mSQexW\\\\OhgYcv^bUFlvwongrkn\\Ofh_Qb^hjRirr^rNIkly`fayjy`dweOVy\\y]O^b]@nZ@hl@ku?]@hn_hnyIxYRVIXAiEyayIyyvoYwQyesgvOdKmxuswvWX[Qr?GYhquKItkYbY[yZurHgEI_IlAci[h>mfFEelEr?sD:?cwudKiHDSVR;UTqVgUDeSWU?TuqW@MFV?SCsG:aXFSubKEgef@sujGgWgXm[i<[ICCrmebXWepMt_=uRiB^ErWqCSkGWSbRYHCAhE_XJ?dKGxsSxLaHFCB__F:MiTWuIUxxSbIch:kH`mwUigcqfNabn[GUksVwDcCGPghE;CjEfMex:qSdGd?KIUKWRCsAAIZ_vWmruIGb;GbDJ>iU`HmphpohtNatNqtPqMr<XZ=UZYTYPyNamsTX^MqdXvrLqhxuwuxWAPTTsXtkAyLf<UZtTODuu`kwYoRtxkhKL<LHUQ\\pRiHReajJaXsTvdhuwMtIdS_EkAyq<iNRdJhIm@Ijg\\yPauX<XJ]qhlu>IwjTnein]<RmTNhMtk`PJYna<R`EtQ`RD]qrPrT=kB@NqaNGuWT\\uDDtg<TGqwqTsH<U>PmUEnNXkJANpIOXtN]UwBpjNUK?Pmdlt[]TiurNDtn@SduRdDnBIPGtOnImWHk;]JMUKwyWRqpwpPFQThIjApWdupNyPI@pqiPj<NE@Yt\\jx=oAdLnYNSIpBYwguR?xp?mT^eJEuYLpOMiT>uUparvdV@@QyAU?Es`ItbeNKEvRwvlFxe^blwqBvibI_kXslnkrFnd>_b>_V@Z\\qmGqfgWux`xLYcwvsuQtQpqNNkJwqWQZfiuLPlLpyxqyDPkDFivViqOx^IsYhyfyfynykykmNsXx_Oanjnp;IeuVvYnmYhcah^Y@]FwxPpgrGvRgmy^n[`xlG\\\\N[]PlJX`T`g@Xc:Og\\O\\?_^S`cPfd?Yxo?vIO[V?xYWutQ]Fg[;QlMgaTp`kOmG`gWWlnw]vNwS?flNt@ydbYZoVrYpo=noJffag_oRH]FimtuqXGkVIkdS[iC]VLUr?_wVUThqxM=Bvmu]CBbas:uCmEUnkG;cUOISO=TJ=Ic_rwsgOSTjKU?OHXkftOitqrUsWvSwfWhhUigqhwWYqqIxAy]auu?VSMh:STIuSIiVQgU@qCxOvDWGPgGUmTUUUEqSO[B;_yfOxrwcs=D\\IW@oCGYD<WGyKfyaVwcC=OdbwwqmIi]b=_i^KDgcvfUUtKrwscEOIduRAAUw[rWQVK[WemfNob>irboVcUv_yvAsSwctmGEDIiykyXey?GW[AroKU<?RbubkmykCEwmeE[hQoefmuHShLuR<]VsOw[?sPcrAuDGiV>GE`]S^]x:GddsBrGWTODaUys=yJYCOWU;uRJ;TRiUnmwrGWaUwQ;IBId?Iw];v>=dm=gIIwZuDlsXk]cdyFaWBjAcIYbc_Wj?UAAws;yLyhyGHuCiPGhpacKUdGqChKimyVJuT`IcBCE>]WPyWn_eS;Ybge:ErHcVwiEg[w<ybR=DmodEaGc;diIcXKxG=xloF\\wDIoRkWE]wF[YfL;gr=T?cB?WDD]uMIwnSveyWHQF_]bUYxvCUPEcgusYwIyacmksZ]XvYDY?y>SffYF]SFfiHTccHaesSx@WEh=gf_gfiwgiGisGaYRSoXb]V>Mg<]vRub`cIImfkmuuqG>weOAFiCeoqbGUBVqs=oToeCuUxJ?B=kdd]wAqBCkGTqduSujmFO_GSCxbwW\\WvYkIXKxbuTcQC_IbH[dDafLaB>US]GHJcbSoFQuHGitU]EGITGYR[iSPwU;UDgQwv;iiuHYmc;=vuEuLOwC;rT?DHIITIuRIgVoEDKKN^qK@qaYZT_fdGoK?`i@g]@l;O`FhpmnZyWygypaIwrVuYPc_PvkAiJ^ZLhpmh[p_au>bPI]c^h[Y_FHcrQnk>]Fpqpnt;xm@^fT_ZJFbUpwvXipybxn[OirvVrHQvlNg@VpbAtKwbuxbB@dpvn;``mFuE_m@AueytVycy?pqhqMYwlf[]awjohCOonNw^>]MI\\[QvFPcmy_Lp\\^pZAPg_NgsplefhWouGiyt@vR>]UHiC?]F>sZqmuys]YsMg\\QniAyyy^oYfldgv_OeSHw[o]YxmJgg>Gn:n`HafwwrQ^rvilgVdtyj^qwWfb_YpIYeFfl_?fcI`[niDQiEvwhNsoInZ@nZ@nJ?cVIbB?pUpnS?cSivXnb;iv@`of`^I>l^`mK^hpxmkAyR__`Fcy`vbIi`psXQnD_wpa`:FvK@_R_bZXgv^]_^slo^YNtGVgPasxPyTGfXIk`?rEPj]OcBo_?Vxipb]_nh`iDGujfclxgigrgNvL?`rqmV_qxnkWnb@q_>PvyFxOGwZVtY`wIWahpncivPg_l>^DPkmon<PtIHdrW\\rguV?[LgqwFtoYwrpbr@n`idGfsjfg`>esptepjHgZ?fZ?fj=Q\\qG]aVtUYuuQuewoknvWAuRAeYweIAosVuXGp\\gb\\FlZW]F`oupoEqk^_dXH`robDifRXaUywrn[u>e`OplX^MHs^VyrWgeW_]iy>@l<AsSfjkxZVNk?fyR_Z<@ZHQq^xhoY\\_I^Q_]tVrAAvCabFws_gsFFf=PZtNy@AlKafmfvGftOfxMgf^Ho?Pcgneyfx:fZth`VQsFQjpfoOVxPqfDVh<vvFQ[RfkLn[AWmuAoPvZKviWfw?f[=wgBWrLag?>fNi]WFc;Oy]avuW_FhsZq[:Hgwa\\woqOAgtv\\GAvC_gvvkPAdk?sDfjbixBHfbgb=Xj]visOrx?yaihn>Zf?ZpVpayeBVhIaxkhb:@u>xn__ZTv`;htbIoZDb;GvGdrWXt]dCausuvWwUvQvQCEEsyHyXxWX=iCq;HDkuMYtmeyoytiquwWE>wBWGXnQxlQX@ywIsXh[bJSIFGXawYsydyEikqrUcfIqUwKvkgCGSVhme?_bAsYI]e\\qIwuCiUTRCyhWCwguJQtlKEbWYFwdviYdYyJ[gV[UU<pypPB]r\\EPe\\pTXWUxS:iOEPmCEqUIMCanP=mW]yHUO\\<lDeKdUjhEoIPXLHldHxe\\qKDTettdlxhQuOEknUscPv`tM_XvahS=`JIPK]YKOHvb@TbPj<Pj<fjq`^hql_G`Tis`aknOaGAiR`l<HfnXaS`cDYZ^?muVfgQ`lobtYvSIxkAiv?hj?LKHjieB;M=etFeQW=ku=joLKSMv]]oUHT]UPpPwZ]jgqkhiuDtOixjSTt>@N=@NlHJ_QrKpvKijPXQ[AkZTsvLNEAlsxn<]K@DUSLJSyoutx;MqQ<YteJwpneuyATr_Xs[aWXaU?UJ`@NYeR?LS;ap_]kwyU]lOiUnlmMD\\N>`NXLKY\\UimWALq=LMo=NK<NjtsU=PHdPUlOIEPFEuVPveDSNej<]v@hrHXJkxVX`RBiJqArtaLNatHEoT@PGLn?]s^YPKHK[xJBuxZ<r:hT;lN?dZDrUCcu_CbEWcEWs_ylYsSCDaUELES`?ir?YKQf?Etb]HMGs^qVWStVCESCVAAYXwVUqXYuUYSYoeUqCdB=hQmrxIuc?uUeWgeWfAVp]fF?bQ=EEAs`EYTQhf_fEQu@ETS[cnYRR;IKOFBuf_sRHcVVWYBiW;YVrisVms_;x[KE[ixAiunMsEAUa[Fb_UtSuAwbmWWGiseohyOBM_rYIen;IKOy\\QY=GXmXVD`T\\En<YmUdoBmJ;TslEU=HRVaYfEWWXUnIxIAR[ElcAlD`ldevmuTJ=TJ=TrUO\\qsRUYJ\\JEqlgTqnQtEeNIxlXtXpXxxYyiylsIoliPiIUy\\MlIYe`WUHppen]qQpIVS`o[@ytpsRmjs`yDQOB\\qyIypHoSdK^]JLXjJhM;Tt@AL_\\TN`OCTjvxskiMMaVXttXpOjIlAeR=Po>eN_`NpILuauYuGCtX;HKyeEuUVOSEyd?Wx:?TfWfVcr@=RJ;F>GG\\qYqEE:?bYur:ychgYTYrNGU]CgBuRJsXiiuqoHbKVa[c=MGochaEvYqcy?fLcdtaHZiFSCHH?RT]Y\\kgTAscaCYyx_MUy_SPyHSGgsKd?wGYAHMiE[YG:EFwEGPsUlmyL;h]EyPCSWCTsMU?yhe;Gb<TrULj\\yuAvd<J:<L:`^;_dSVZ]XwtomKXs:ah@wumaiWh]=qvXnpGqk[vj;ViQoiVh]IqvdnxK`gpVoRWyc?:uIt?T?_HeOWdeSgKrTidU[fZewdouQmU;KDjkvfKFqUr]MEpiGEudUmS^]TjEHUouAeR<kRXmsB]hbAxRQgUCV>kEIsgqGrtaYWibESWU=yQar\\uVGWeRmb>]clSyY_wD]c\\GD\\OuAIwCKFxMYPawEsr:mI@qVLiEUqhtUYXewGmw\\eSMCVb]WW?sMSiO[DN[DN\\q=<wsIY?HPiEUvdTDlQDEVAyVXHY`PodPWj=XjEt\\hRjLMNUxPaY@]maAr;XJWeUWEwnMmWto<auIUKR\\m^pK_eQEaPGtrHqPqLuN`nBXU^HYJIpldpeEYsatc\\q_DVgdSwUTmtkTUV?ivgiO\\TMc@yjDPsHoCEYE]txLMXmPwdulIYqqU`mMF=sHMm@pOBdXQ@W;HLT]m[UsTHoFhM[<KJ`Q?tOP=xtUWlAwfUs[@O?@oxXPV\\M<Hl_AywulMiNy<MlMPSFc`W_H_bSif;xj:q\\_ImlhnVWZMGqGwcE_vQV]mYZ`Vu=ypwahCqxGpfR`_qF`[Pq`Ha@uSATLmvIOgFOrboFL]RTcYdgyb;Gb;Gb[\\mY\\F`fdQhUoqHf[Gf_UopFyxwo`YahqwhQplPp][abLI]yYuYqypYyYyyx_^LFeqpgW`_CanjOejxh=AtSWlk_wLHxg?nsF`WIZLhZ^WuH_ZnWrIFk;h`\\HwAAtoi_WAw?A_KadYAq:NmVO\\FoxUOoJG[aPaRwvKOrnAi??maGgphasxh]qtGWhawceX`dXoDXm[@]jx_\\_l=OZ]X_Q_qIF_c>SkwKsWZIxsOiPSB=SuqsWXGrBIiPSxvGDfIyCOvLcxr_DN[DN[DXIGkusIYGsAunEEBqG?IVRCUiIwcIgb?gJGW`_cDyFLsbgcBCAywgVSeiwgisQrF]WUEtqIhG?T>ag>]H>YRh_WM[sLoejSwrcRk_sZshyqbACbrMYPytgeuAAe:=WVcfECHguC<scEwh>gdCYTZEG^?IkKFP;yjcDq[S?iSa=woqf[MYp]s@SiWoXT=VPWwK?Db]FF=hPgWjoRxKU;Od`qiWMYpsuGShYeDh?Y\\CyVyi?mYASD<=tDEe??xAuxUSDgqdcOebyDXGGmkCSyYcUWBUBfEbDysP=vWEFqohsyby[dwKyaKsEqGG_W?_rrGGm]xpGsZuR_UUn_RGGbf_W_OGoGU;ER;ER[AX>iE@UsjcXn]XnwhqWupgsRUyjAxj]FLCtoeIOOSwkxRYVoeXo]WyqhgUuXQx>MTOmVyqywaWUGtwuuqIu;QcoweP[uw[CKkrx=rbiX:]ufMfrofqWiwkV\\;ClSuXeuJEhvQGGUt_Ce?urJUuHScNuT[quHUR`]BLqUD?Vn[d^sBUMvGwbrEI_wrPuSi=bHcwhqI:ct[sSLgV`EC_GUNGFp=eEaeWchDMR<MRVKWBevr]exge<kRQoGmIIwIRJ;yeuTsmUPwhEKC_gDGCcEyg<Owdexr_DN>drkhtVNDQ;APliYQiUqeYgYWYUlSpnFhpaXtVEM=hysesottjLyx]vmEsLEofUnghoGmV`pREdPHaL@QNrevNMrU@lhXjAhWjdWeQyIIyy`yk\\xp]JNlKfQuDlqEHo@lQRpL\\LRLLxbpsYDxsmraXO\\qK^=oGpOoEWn@LJlwPAM_uSGmxhEjxpSbTw^ewrYmuqQsmWFApZpl<Fbpvqx>`roqb`nMGaPviBxcYfgBFxiFw=ycn^w<VdvooiHx=hsmnuIv\\TawE`jMvmBXw>a\\<_o[^\\OGocxngNxcGofW^QfuH>tYyuYGq]Iyk?bRHacqjnxpghpkGvvAtJA]Cys?HlsaqCAu@varf_TFodXZZ@N;OreMiQlKxlFxV=@kEaK<@RdxrjIm]dmP`sUMQWiV[]t]TppmXFeTOetLinEUOdLORtwQusqax:LN<MTb<J[lkk@vfEpI\\XmATdYPFPKFpMmxw^DnJtl>tJfPOGQJWALTHxnut;iY]DQWlRsEWAAyPumZXyspr_DlO`mnqNNEVbqR:UJcmLBuQe@wH<nc`q<Yts=V?AQiXt_TU?mNMHweYwMDwKaqH<mgXnLQsd<k@aUq<T\\YUDLKDL[XI^l_tDo\\JIxwwytXwhXqbQnEpjAxjgVs\\_gxQtEw__wZjNhyyly`y_`n^`jKGyq^^Wgq[oo\\_xWhsIW[P^_JHaiPcAiiFY^:auygoMHf:VcQFlbAnQ`wHxppvxp?ihxiOAjAvhyn[YxyF?]LfkbG\\da]gIy_xoWQ^A@erx_xhZEhy[fw]WyPHbgy_LXi[`jMHwYwsu_xQavC`okakHIimHrxNb[_Z;ntvng@o^GosjXs^Hj[N^`yb>WxNaZQyhB@_]f\\lie>Av^WcEfjlYAOUjawFcVF[Gn?FSob\\OVR[SXuvpoG;UhFmxc]B;?iXSbDWv?eWQUsPcHYuSBeSbcbMobj?VSeRb?E?KIYYfaoB[KvFcBHgV\\st:ag;IIi_geEyWiEvkXEcBu]xCgvocxCWgycB_chZWxLSBlcdTYDkQcHsdxKBUAd@=fTsIO[DN[DNKCBWiaIYT?BaOEPgTMUTMeTOeFQwXSYG]MwfUFXscikUv?ygus?qCHYYSiF_uqdeSDTV;xp^aLViRCHMcloXhsdQmHAyCHMkLyumXNpuuYq[ykWUMI]NrmuWIp`DN;tLAxvcynBqXD\\rUIOmHQ]lX>DKLevMtul\\o]hQmDn>UlLmkntlCLVb]uP<UX\\srxnXPR`uKNdlXhUvtN<lKBQSQPo_XONLN<YM@hNd@wliTGmtvlUVeq_inQtVDpLD@PDxswTKdMW;PxbLmJEoxLOb<_J?iA`rwvoppmIAnDYsIv[Iv[ivex`ehWsVYdsQirXhkXdCGnqGepH_YO`JGffWjDp^\\n@GHhmUXmTwsXhKusaF>?cJIfZWYA]un;Fjauf=W?ew]gIsGC\\KCASe]wu>kBOkCCueweDhwts_RcybkIiMGWCyDuqy:YWXCf:[wBAc]IEJCDhWXBUFFqIJCDgCH\\CIr=gaAEx;RfSFxor\\qBamT]qglEGxqWKST=ASB_Y:qGmuXLoCyqcvKS;oYAUUxiHvqIVySW?HlcHpceYMdIidqGRVIEK_xWqd@eByyrLew]]S=?cTOVT_CKOdomB>Ur\\mTYwwuEfCSrSsgLwwpAVGQutoe=;FLQTqEEnGYKaUb?G@kHZMxjwgJUD@egccGUeFdSfZ?fZ?fj=I\\qUrybFgrNoipmrsWvkAyimYmYESsdVwXCyEhaRL_gqwhqwEv;YJgYpmwVIiD?iYoW:Qdf=FNUTYArqcYykfAiX=qspyxUif_wrr?FQCC[]HDSG;ChlQdL=VVeeUkC>KVCsGeYyN?F^GhEMriQsUGckKdq_rh]rAKtXiiayRbehUkbQ[dIuWLYweMge_RAGB[IxAQsYMgjqBZkw?CDCUuf]v^[BLUFXqWcwr??bLuFX?Bc?QFXoTTWCIntmVDLKDL[XIZkwsuNuK@jZ`_vn`wVlCAaHXrpH]kwl;>`fAc@irIvby`hWxmdqmuowsQuQqqPoeXoqpgwTQodP_oaiAaa<?[rfbANksGlJ_]D@s:XZtpu`^q]qkc_[`pxnqaqPhvQl_>ofPtINb]A_mo]J?sI_bj@pXF\\Kpx_vio^br`iPXxXHopWcmXdoYyb_t:obm^rG>`T?d]vh>x[L?pJhfU^mOFk`WwJGvZwrvamX^[mxdMI\\tVw\\`iLhkrheD?\\qYq]vejQhUxjqxwCvhx`jYohGi]ZXnI`wuyxmQwUwgmnqeX^WxrlX]rVgki`;Va^yeZHkEWsDVhRq[Fy`SprDVfGN`INahniqGq<YfBvusolJ^frFZ>plcHbQAZf`eco[pxdbQaC^_F`heQx_@tJol?amVY]N?kTPkxQ^Uyc:hd=IdJ?dJ?dr^[kwsAHnMGjvVja_oWHtqorNI]ewekPf?hgUaklXstfciGi\\FwYw]V^]NHlkin_hnfycO`mtnv;Ist>tJhyIFxJ@hxYgUobGgggowgA^gGsYyu\\Ih]NnvPwkGbNAknvjo_\\<Qf^>[w`or`fCi\\:xhuOdDif\\?_CvxZYZwHsx?o[_`YwwEqnqgxognDWd?odK`hnXqNYpJHoTOj<Yw@ndGo_pN[lvuWiqdItAos\\F]F@^Z@udpmxVicibZGe\\PqiNhWwkGnodIkc>_b>_b^q]Hy?O\\kGwqwl<xksQe[^kpW`liqqwwXivEylqqxpQcHwiROl=GgXwxwPn\\Proge@ixsokZP\\?`]MA`>?]r?jnA^^nnFy[Gpr\\WtaOZdF[CAZ<vtHplQgn@F^MPcUok_O]Ag]NObrx\\VyscwqBqvAYefFvcyoNw[j>wZQqxpocAjgxfUydyYe=Y^?AuROlxVh;OvFXoLVkJvkpGhRidtOvMGkJIl>`]r_ak@am@uYX\\jA\\Qy]DvquVvW_dAiwbxp=vhwo^vY`>w[:hshNjV?dLapbPhtGqP_adGm:nbS?tSHxl?_DvuLPplNdrqbcPjFHg^Q^V_Zyvrnvt:@uExjRWx;olQPvE_lihgnvtipv;AxNnx:gt>H]mGf\\aZKQ`Fnu@hb>H]OHhgQreNbkogBgye`sHgZ?fZ?fjk@[ff`VF];wtogmg?cdo_enjjH_aIlAo]S_qrG`]gwfiub_`dfelyj=o^=YvJNcEWcynxkxkO`lN@iXxnRWyRxjY>y<heZfe^Gw?N^O`\\n^[`G\\@OaigcSpqoXoPObpVsRWykfy`_reApDNq]WephnUp^lnxoowiaww>q_XpwipwYq@?^GgZqIxYidS^nJ@sd`o\\`r;OpQnbUoq@HxN?]Qxfvauf>tga][wdJ?su_b>ok>HgT_q_axoanAPlvg`DPj[XeJ_d<Y]RAsj@`nAo[OoZ@]?fZ?fZ?xhxvqvhdbVkVImHwnyhygygiyuyxetqsQgoTgrpyytytypqoqtUGuuxuvqvqvospvTpqxpq\\Qv\\orfy_r@v<nbqIuHykx_x]Xv@ikEgnL_kbymj@dSFedilSO]Wf]WVqqwwxNbLfov>mSi\\fQmgGZpGlMonFGls_plgv[guthh>@\\pq\\uOZFQfs^usOgdOgdXoeHm?X^Qg_H@h^A]@Hjs_Zs@yKH\\UAvIAb]_t>QwoYjNxfpfbK>yx^qtQ^^Vyopj@oc\\?xKoa_FtvobWNvT``L^Zio\\ui`YWrTFj:Hlma_oQ\\K`ZN?xtqqIAvaymSNi_Yr?YpF?`\\ar[wb]VagVep@yV@[aH[sq]=`rcxlUI`FX`t>w`@dXw\\Towj^n?fu=YrJ>mZY^hvgM>yyIgyWpBv\\snqg^eqQnEF`lnZ@?nkWoOVg<WfX_ZNYdF_rOQ_IXyRst?EQkUREcoGSKqIcctRgvQOE;Gbx=ujQtfuR=seqOvwWt`mhFieO;VMorEeGhYeQAYr_CDirDyR?ggbOTWgDN[Lb\\MP@qYDvwhw<lqIIQLiKq\\ujdYtaX@=kalSV@qfEulxswmwmUQqmwV`PcMLB@wpIWMqnwDx>YLyaxIuynYxYxyv`pn`xEtUrQJ]ewLMMlaJJmXM=J>=YIywyuyuyYryjy=VYeY^ySkTV]DmFMpE`V@lJUqVnuM@UKAqKF\\KVxXXIYfuyUqYoykx]x]xsxmxm`wXtSIMsx]VNxYgYQpykyxRApU]]W_Pn`HRDdq=IpMixqUJQatGtQB\\Pmtt@QnBIohto^Ilu\\WA]N<ljC=O;DMwmY>LxF@JcEyHAryuRctT]qVr=UxXJPawdXPxTRPduMHuLYMfevt=NKtrBytNOoBoZ?xp@p`Tatq^awylCwov@`rNhZngkqtlowuyuIVvUG`b_qTqgBawR_^EncmibdfZ?fZ?R[pNhIVRlqvQxEiywiyfUYkQv?yUyQyQiVoetr]QxmsstvfQuoXoaxnAHl`mR_Ytca`UxlfFe<AojicqfunYtYpynGv<ijmwvHihWwxyyfiYa:^ndpoqyseWtEqx_W[wGg<NcK>d:_b_Nk@Gk?Fp^Nk@gk`F`TviTNlRVlROfnfrb_c\\O\\GyakXfEG`P^_KVc:Wf=Fbd`l_hgiYtaoeuymuwsFYfJohOPqNXysrUyHi_uqqvHIiYIIiauiAFcgws;ywwhZatuMfFyEaKCxWtgCdaUVMEx<MfKAGp_EYIWHkGXmcgUu_eV_]rTIxZ;I`oXqar:sX>YvZIUliVp=xIYrH_rmEumESHYsOCdriEUOIket]gbMSffOHKuir]BXAY=uXsehDQGjqw\\mxNSD[us`ar^UfQaI?;uiCWFMyTET_;hokycEHrqBCeVSAX_wF=CeRQx>UVOwi\\=gG]rWGgAAuvuUCOEUGCliGMaWteg>aeDsGC=iUCGJehHARaeE>mdTUsEgf<WS^YDaEyIogBebkYsgktdcVCKfTMbOATOGu=SGQGw@iuGEYueeEmEdubNsf\\mU[UVHCW^hy\\yQtMpr\\TittAlj?`qvhQ\\tqvQkuLqhPmGyyjUjPLlH]mHdr_<ugaW]Tjfhmw\\n\\ey>MnXYVlqKBMulDqhMOZ<NZ<^ZY[Jvh^_^GisGak[FywyrVVhFFgunhoghsGaJ`rQ^\\N^hn_hnIwMy^Vn[Mq_agmoottixeyvGYmqAx=y[]FhAO_vIqKxww@h;^mbV^[qnJYyfIumxrFH]=h_fq_RykQilFo^KPvIImmvZcVib^\\t?w[xjVXcZva>v_GvkpgtOwdW?h;iZWimQFqxghog`_>urF];O^nqqWfwgq^IwiAObvhopYv<xqwqo_PpiIlOfluWwjQ[ahrLviq@ebQtp>rF>yvamSYpAF`Ry^FVZsfxpIa]hu<Ol:PgUofIfmwQ\\QaouavSAueFbY?fBgd_gky?bOxp<hxYF_yh[NA[kifE^i@qsJoq[WgE_pmXj`hdAikNxuUO[xAbpXtcNhpXeTQnEF[B>[B>[fI`kwZX^d`NmE`wVPlyHl`Qv<Ntk_vohggggEolfFmkVf@Fs>O\\an[@FeNVxYvyryrGx`XAeKGd[Fcuai>OnM?aMQgeHat?m>Wk>X]q`ep`gSgeWg]hixoyoygynXtHW`s>wBvgxHy`NicVgQqog`of`atAw]Xqu^dxinKPuw`sk?uoA^C@omVxJavvwecpnTaa_a^rYuu?fEiiOfubQuVG]EObnFZ>ioqgv>>xcPy]`nkAoU_au@jQAq;v_ePy^Fi=peqYbgvafakng^wGdvqu@nZA^lD_asor>vpM?dCNpK_ijApiodqh^?FaNHnLqfBPiqw^xxsmvws_otWZbWw:w``pgsNi`Al:IwlAZ:no=Nf=xcpGpthxtvqZoqQXeMhmpHdvad<p[xybk@plvjl>iWvuFvmsHlYxwhpbu@uiIvxxaINeyP[^onw^pHidnnv^x_aXb[fdP_\\E^eLPgc^o`FjNHtKA\\sAqXQ\\GgwpqvoYh;FZ;F:=vECDqMc\\SD]sRtkS_wdBMHlCdB=dRUy`isUGGK]blySLIwnkGJ?G^wteibVaFQiYG]ucCR_sewsxJ=GDotyKybYfrqY^IdAmerMvC?w;_DQsD]AuCWYgUupgwDWGh?fNwXL_rcqsqAsIQc[WsQcecYTbyIb=HKwc:WiBsuUggwOUVKdcMIDqSa;fMCywGbCme]gxDcI[uXDAFQMswMhU[Xyct<qr]ASsWvRGugSI[KxRUsA;fa?fVQBWQc`MdSugIatOCsGysfKr^OBwKr]ih]GdBQd?qGQwd_AtR]iTMW_edTwvWQVAMRa;T_MWEMfiCCB;CB;CfIEkuHGUhf_OgtoTepDDSsLTXMYAmmt\\WRApoYwQyPn\\P^EYKPn^PTc\\YAMRIXKBAjcdpWtpYyKslw^AVJdValmWiMeuR>UnKIYmqvwIwIuY<ivAqMu]W>AkK<lUHvdHWTEV[ENlAY\\Ywr]PnARtXTn`XRPQhYw^hvVlkslwVPXR]ycxqftWQIppHRihXEeYSEjqULFpKvHnGTkxyTpDvR=OiduoXvUMO^qNoPmUYTVIROQxhYp>QSwEWPToSEQ:mOkDrTUWqPY;YpXqWB=uCILXQLfmTBXomXjGQLO\\VXXshMXiPt_DwB=nFmQWaPdHMd<oe`ooUktpQ>Pl@mygQP_TmcIrkYr_HVTlmxdvpdyfMSdXUQAu?XX_mwrpLMHMKxVAaXmyV=LKi=oAAOhIxQlNj=WnyYpAr?uvYqqExJFYJ^UYLmRQQpOhJchWZtLjtJMqJuag;X\\HHcjafe@jGqimF`X_fOWvyx\\?x^BY]\\xpB>[B>;cIMouhqI:mDUUTMUTN]r\\efqquuuw@icUCc?WDmkEr;XZKT_wXXIYAGgVUXTWwkAYjuD^kwroEQGXEMetOiiwG:ss<]dWIeYOS>KuhqBGgcG?sTYSDMSh_ilQSv?RaQVc?GfkEGOxWYrV;sTYiukc?IRHMBs]G\\kwxWBYGxAKCDKC[;HJ[VlaY^iGeqI;cWiiTB_w`cbCCInUUUUw<ipteYeyYY]Uq@xyUuP`NZDysDxFUQuyQgmLA`tdiseYpHEkdDjUYPdxujPPZuQ>ds=UpRuXjyWg<p>ytg<xSUrnpXOQOhIYpHTADMx]tRfdwXth@gaXt\\qjC>[BB<sUB?iUEYC[CHsE_gbkYvAyUxEy_aRHwcxKybYdImIsEr<gB>eTY=Y[iBVAV[Qr?WX`askmXI_R\\[fbQTJ=T:_bxwbjwxX]bmmdvahV[FJAuv[FkaHIclPxmymysqQwMyn]Xn]ylyly`RxpSHxj;IR_<ob\\YXLK?psytyvMQBLYf\\l;tSNhmHpje=oZaLXaMVyl\\\\xuXx?<XS\\MlQQbHusyu?<xapL^@l=MUoyJXTRq@xOTJOtUZMSfirKPlOINMmkAXpiTufuL@iVB@u@eSuYyZxp^Hr:yTpDnVqPgUSaEsb<nmLX=YvpamIxnRYKitMYMKI\\WEIU_EM?xjjHmu]NmaxRDS``RQlXmiTphsAmtAtYRaXYiK=lmxqTSYjy\\OyiwoeYxuL@`k@dUlpM:yT>MS\\YK^aPx`KhTJLplLHWsdnRMLEUQ@`p@Dsd=OylQnlM\\Xr[poFlPoIQMMQ[aQuAm]ev;ln>xULhol@NwTORTSaXTVMSJLRXmNyDw@yLo@XAqjD\\MLAPw<nu]yPpkipOQ`kidPDLOTljpikdYlypJCtYmpVQhPZhUiPsV@XXHLT<MZDY]djoEnj<RJXyTPlQiSwhNRXU=YNdLn=DKB<KB\\MNDjT`KKlPAusJINf]S>QRXIjcuwslXb<r>]lNplkaxrmqCUl`dMu]wkxwvXxHloSmqvEygupWqP]mrFLS\\tmoTWPyqyiyiiLelTZTmAMmUQuTQyhYqiqqnQtE=sbuOt@w\\LkwtwqPJFum?Dp[uNKiJs=PhtyhyXyXmytYxUV]UNh<VUHXwxr]INGyR\\YwohpoHtb]\\xXoeXw?y\\Y_gcGgs?x;yZAp[WNkAPulhfEnuVH\\]nbZi]rnwrXvjwh^iyNXf=^iHY_?hwqgxtGxxVlpqkMNraxoVPppIjEfurvlj?\\oYf?^\\MFqsO`[O]cgsailGap`Ix=YeEV`=qbb>coh_OHdMntUafPFpXYiQpv=vwKYnAYjnq\\bP[M?gQhvOWeQo]KyxBpwqApG?pg`k_Vq^OlO`xCom]oZFxa;QeUq\\Dg[:VgJ`d`pfeYc;qiR`gg>hJHr`wkW?bkHxA^mKXhDvySV[PaoDn\\NVbAgae^\\ZWs?WtHQZGg\\tqk<NZ<NZA`[VNsA`xIFw;ynLq_BXp_Xtc_vS@ccFc:_iiA\\q?s?vhWnebAwn@f=psxVyf_ndxiZAwfaw>oZI`[OYwoQvAwlWohSN\\q_ftXpaws@ielYsRfioYoYg^W`rX^hJyx=^]KhhDpniWuphwQwqtitPioUGxD@pkAlEggAYuDO^hAkInarAj>iukq_YghOidrHpYywyWvGx`:xrnGxhyqvQxEycvFx>nuPXeigqo@qr@ayoidqwkWgAgs@Ix>>xf^rTIoI_r\\G`fo]WqbDxxY>ewvlqvrWxpFGk;NmF`oSGjjGf@Gxr`k>>mPGi<ApYnij>`qQcCvqNFaYPv=hs>F]qx]ZwcjNdxNg^Xwb>kvI;eE<GGjWHyUWsuvLQwxUFnSeqWdekXjIi`oWisgkgd[EeKEGqogD=x[gh[oCTgCuCTdcDXyFIAXEMUY;Vd;gXaV;Su@YrTewLkhD=FYwh]geMAijQi<cbNIbg_HneX_wYkuRbgWemBfud\\cYl;hiItQmU:KVDKg:?b:?r[sBaMHaKd^MSisRdoRNmu`MhNqR_eV_UUUhq?wfCXa_HivolKNlBW[LauYnyjyjRQm_WsPH^uvnnG\\vahTapcwtWwhWqlgVexIyIyi\\frFxr]iiuqxWPaoOgoghogcGg[K_c\\xwwhZafZ?vgeNd[YehGq?feE^ymqoupw<wu=F_ln`IFimFliO_yPkfh]ronGniDX]MGgOOq??qlFlZgjCYmUXmiYqiqaVyxawauIeZ>\\:Yq>xf[xogw@cBIWROoeJiTriyiyYy?YkQVvcHwKyZ_CV[I?IeamesSX`aSdyBASSQmS_WTXshAkbGsxASCZkr`KYTAVo_hfwG;qcKgxo=XCWs`KSuudJAXwwDYEI^SermREoWRoRQ[RuwXiAE_Qd_;S`Mde_fGSsyCUSqgqsxckGuSffAcxogdsdngebWcbUi:usJiXZMCkkhWSurGhoGXw=tU=vl_XfacwybGsbLmHaSup?erAgrGT<KZVNZjO^d@yXQtLQhMicqfr\\G`^^mc`dD@[UNduPv\\Qv_XcQpwWYxdHaLOp=Ah<OfganjAkN`pdPody^yFyCFcDAl\\Oa?@uioqsqfV?qoqtUghWwblQuyxiy_ft`\\aqhLiitWgxp^p>ZUPknXuIIp[Wr@xqvivi>uTIsMx^YPhDI_NPjIxitNZjAq@YvkAvY@qXPlQIt=FapAu]woxPyd_yhOb[@d=Wb=YvIxaxAt=w[KIlyWyUyuHv]xBoatMUyoYwAuRUiiv?FpSiKwIXEru=idetdgdesTtcE<ow[kHi]xbItHmvFIb@KY>Av_ITpMTwEftwcDWu]MfeaHrwUW=IRyHd=bFQS:[bvcRPqvg;tiwEjsIAqdriH`UYX_dy]sWyge]t?kWE[we]fcsSNyiQaE@;S@yShSeJMC;sG>=bG]I_IDqugEwWCqsJ[veKefiWkeGkiXmISR[hC[wF;gD]WW]vbIv]mSKWWN;TvkIPAfZmh`kV:=UeCbgaVWAhncTH=HGqXCyFkIeUcUGMuPgH=[i[mtKgfJgVdihAqchcgjYfe=Gs_r=SE;CB;Cb=]B>QybSh=CWmYHIaIMquXqCsGiE?SdPPOuO_@QlquD=YPuXDuPc<rF\\Q;QMq<R\\MkyMNwiXbeQxXNuhnnDX^yoJXsEErI@XQ\\WhdplxLOmTBpkM=sYdUHxLX=Y;pwWamsTXbQYcLLIeo?isbDuwLMGPtNPjcYtaXN_uyDyTxPRMlRkUvKUn@ekWTQp\\MHTN_unf`xYlyjyjrhyqqqqiQDykaHmfXqT\\La`qbLuKtwalMJpy^XlLio@yx=ponXlFLkcUMDMP;Qxy]OUiN=hV@iVs\\UuHVwAv<PJb\\xkQXGEuaxP`TmJEpQqMHaNnaRo`UtlqvPq;HohIrKQsrenuex^Tt:qU;ln^etppW@@vPlModlZTneLp\\DxC<pLXNmqkGepu=t[MLr\\M[@xYlnLhoDlrQepqpPgUuTysHMMPHVTQpu@XRArTHNJPS;xTNPvL<LJ<Lr\\XJxMkur_qohpOZiN:PLC`j=eJWlkwxLaHOhAlAuSxIj]Xt<]lWyr;UW\\IxrDTsMKwxVcxKALLY]UiAK\\xxtiKo]JWIx\\pM[AOb<ORhPemLlEXnIPjhpNQXaUYnYRvpUiiTQeUomrStVZij>LJ;Hj=tJLDqAYjZyt:xLOMTLMXeioqPNwpqgqpUAtGHwfawvmxSyVK@q]iQ[xo^uPLEUl`sOxp^LLC`vyErNLua`UT\\W@lo^PUpxJNuroHSBElYAsntWTxkA`uM=n^dSw`n>yoVpXLpxuyp;QsB=VTQYuET=UL>QlJMr^AWf]Nqqn[@sLLpYLKvxv>@vC`KgqsOpj]PXReKXUvwTwUiJmplUewRaQI\\LU@VDqJEiVILt[DY`HUrTrtepO<VxIx@TWoYukirJ=LEqTg`T^XSuaSctP_Dq^<J:<L:`N\\@^gvdQp^<ayL@wLg^jhrnQb;h]CXaU`mDiiynpJ`j>OZPn_bQi[Ihfq_d`_OQiA_[sQs?pwKwbdQmQWtsGtWGvsI[B>[BbD;caGBISXQwdQwtQytMoT[WRiSuUYuW_wCgiPCXaKFBwVdAwbAWeUW=MWHEdy]XWKSEUS]EhRkeXCEgcH?IC:Yv@;iXsDJgr\\QbM?yHEY`cHocHB]Yc?YduW;owTkuJ]WIyXyWyW]ih[ieuDW]XKuyxiyCyI;uE=_VTIGwcEUUcQoTBIRqyDYIGymbV=GLeY;ibCWDakcWSIPOdPohheuDwuDETKEthuB?ieS?BRQGvwW=wBIkrUMSO[gjawnaW?sT\\yewWIMyXq;vOeIJ[CHGekMCvKyngusoTLeyZmrwkYy;vEWYr[SusuncUTOiwoXcqe=WyFGhF]GZQC>=F`iBqURlGSOgdDehjuvwaBf[xJKIgASMUUM[TkiTB=hncfv?fIoRAQs:Gvl_T?mFyQURIG;gEGqHx?ImuBXCXQeHB]roaXDGcOCsx_Ch[TqiuXoxOoS=ovOsxF=R:=j[HJapXJ=PR\\QhAq]aMCLXD`p\\YQlQwqquuuKc<O_]RiiM\\qSkLX^xnI`QlAsqyqyiYv\\PKDxiLtVMVe`l:xSe=lbTv?\\y\\yLy@mqtWX\\v^UUtUwhMVUAx`EVM@tE@ruijGHmpdWT\\vlyVbHVsIPl]qD\\yBPo_PvtMsIxjvDxSLlMImsTX`qpgUuxHyGyWP\\LN\\PqtPMMREmqDYyhdpM`poDkKxYuYuYqqpQueUqUQts]rk=R;qJutWsujeTVimYi\\TQenuTw_DOfQpTEX?qnAyMUDNc<XhIQfqvEqOqxt=Dm>LtW`wNhTx=KUMsKAnWINhISEaPNeOWdp]unn]UCASO=P=LqsaXdqnKEvKdy_HLf\\wcQSj@SvXka<Q;EVLASuav]lRPPq@xWoqoChRaUYelSR\\Pc\\NGpvyxKpQtoDUaut=QJiqW[=o>lXrIJR@ndlWELPcUKF`J>MqZyMyeMOpk:`w@TOkpVrApKXPH=l;YW=LQymjv=JvLkN<LJ<LJ<uu`rWfjyFx>Y\\u^[H^mBW^_`ohpo`nnqxpHO_uFgbap:g`AGlAYcWArSq]sn_O__\\ph]q_^rrsbDyURyy:Yu>_bUCgpyBY[YJatNabGSi[qbU;wsGrHERm?bKWiMmUJkyCUDgEFa?gIwb<iBDuxasR_WhmWtgqX]We?ErriedSxVkivmFiEugQCTqh?]UvktOIBKAGEeGq_SdQuuUHVqs>WIf[wMQDQKdaUTZeHQkx<]XtmHhego[Wpmr^Greey`Ii?kWOiUccdHggXcYLuy]ssX;Iv=YYIrwifDCxGKCvEFbKc?YwXOgd_CkAuusYyMuJYVTOv`YhvKSIqeuEGJEVoSuLgFSQhFEX=aB>[B>[BpaBSaTS[f^?SFUsEYsKWv<scksXQ[XqMdo=UXWRX_G_WT`KCIKRVsx:=D<Er@[YnItA=uLGV=qbGYeqsc`UthaDHaiZMYIyx:=dDYt_AFBUxXcIa[XN=d>ydPodX[cmsRqqI?uvHKeE_FVIIAuxTQH][vLWe_wdNoxImWUeSkOwlqx`;WfmVCawPgVM?bFcfoywj]rvGgxUidqyTmYVITOUKpMMvDWB]NSxWZHrLUWwAURtPDaT^aVZTULQs`]wxUklhN`urwLlYYNsuwKxO>@ngpVREUNaJy`n^tuLYStMPcl];Y^Fpj:qhRP[RneOigjyZFgmkAuyvycPj;npKIfPVyVGbqyl`?fQ`xjf[:Va`@w@`gO>kUo^Z>^Z>^jx^>im>QrKPlHQmoVgnAwKa`ON\\YYqEPwMpqrF_WAd[>_DifAixrprnfcvw]r>hZXllWtEHbq_gUyyxyxyxZX>i:v\\PqoWWcM?cuX[DX^sqogho_`tQH\\]nbJ@buFglNlj`[s__nCn=Bb;YYSc?QweYweOgd?XEqUNqiv;DcaiWWFXAY=Yg@;rpgtnyd\\OWJOSl?GuOdwAdwyiQsFwMGSuF:QFDiW_;Wowsgis:SwLqWIsu:uBd=rAiWeOeTMe_uea?GV=UdgcBCy=aG<ucYmgI]Vo;CvmILQY@igs?xY[HG;DgQRMISWySMeuhQvDktIIhqWYvOhfCUf_UjOFhAe:?b:?jwLNharDEXCDuaEYsEQKusXlv;MQDej^Tr\\AT^MSjujvdwpuVGuW;yvmiOX]qrpohpKUMXVIXAINkuwsdl_IsatmvIyIyYXpSaxOy`ylyWyUyUyRVDX>DLtMstur_q?=IVkRluikUv@MgT_TTMUDMwiAdMmUy[I]wwCkYYeYsKtH[UGiEimhcCWpofdWFAgXfcY]?baGCNsfuCVEqDZifQOhUOufIIHgg^UtUYXVWIQ[bYitrWiTGhFUt?KdEMxVMBagiNcUWAwsADNssEoipGRpUrkOXL[VbKHVAv@oT_UUA[XVGExGDvqDbEFvQBiQgYWIXYY^IxlIdPofrAgK[xRCs=QBiiGXkxgsdDSe[;dASS`McDMcKGVWqxYWC@yX_;gMqgjybIGImaSEEXCIFIGsuAh\\=wheTrUb<KB<KB<SY>Cu[QvJwdLowNEUtaGbkCG[IaYElEem[dfqwrOBJWDosw?YCMiXWCCqYEi]iKCcjOsuSH`]sZCSVoEpERDkStkwqyuyuy]tYVLXsTPN=SOty>mtH`VwqwuxwxhypYucDo`Mv>Ik_eV_Eelv^up_jh]NxbNyi:PwDqnR`nFA_fWuB>iyFyGQuav`fvtiQyEgn=^yVwsKqcqnfLHgXFhaga:Q`rxeZgilpiWVyQgvu>wcakhXdm_r^Nb;x_Bvl\\hnG``Uhc[@_PyjyYc`N^^od]fmg@`tA_CGlkx``@qoAdNG^C_^Z>>;CfIGlGfkuRr[e^Us[WYCMXDuc;=vP?S^EcQQINyECkGlYV\\mxwWSVIGagVKQf?]D?sgcGgk]HesXDosHqs]scvKX<abCswywyxkUNYhIqIumysyvIOEoKCSOiuSeMcsnouQsGX]ynYtIUtwOIeagmoSwcxNur?EwoyFFci^IykWUDUXxeYnUYssIKIipMVN[F?[dJeSOUSKwgtocceUA_DEKuqGwtMUmEWLmHroWauyEyFWIuZYyhsBVYdZSUl_vqGuQCX?_XTIWkYFQeXHOR@mEP]u]_fKgRcmvgMwX_B:GHIAYrIrlwhmWi[sulAi@]bdOg^OBMQtjQILaUGouiQdCwx]YUcmcNYCeGFjDXAqOdUsZ=MjhWU`uNuuAQw^pMgmSWPJodtSLUPalr<U[dmaEXCpw]<NZ<NZ<pa\\rWDkcDWrLTkuMApXqujammsmv?yLY]uthXeAykYviXqhQQdpvDDQkPRauXt<NW\\qQmOFtSGhKb\\Of\\r@\\UnEt?Ul`dSdImRuLN\\LV@X<IKmmvFIujHV=uRAurDhLelOy`ylwyxyxKhmM`]^nqYGi_ilI`alA[jImfHj:?vPYeigb`wwVFrCAoK>uHoqcymJ?dOAghy_BQcR^gMolmxe>otsXuuGjqW\\fo\\^afcy``xeoi[gYan`tpQ]ZOoFXfc`o\\faQx^gWknhabYeAFpbo`yxreqZc`nt@qTgZ?Vm^^vTiZx@gIvpgo^iVuVIxYxiyv`=acSqpHQqnh[avmso`rhaD`k@@[nFek>s?gbxw_BXq:@j:@j:qmJvh\\QpHPutoaewcaXtN^g@OctYjY^yZHn[HZqnempfGQp_Wsjgv<ijEvgvLjanNHqmuvTmloitipYoakmlsZ@MvDLqqUF@R]IoI]QkartPqt\\UXDQl]VyqywyQQ]TXtPrdxNYTK@qyIwIuY<yQy<yZYjyYyyxyu=w[xjjQtBUR`wsyvcUocUp`gyhyXyWghog`wIc;gy=iloX`@Od^_fiOakHhPYnRfh@vkgPgrpcC^qWpxVF_?h`OFomW]bOsLxgvWh<y_hQdDNZrxb@Yv`idLWtvwdPyulW`vGgXGwhhuOAjhH^uvgpwg@YfxNfxHj^^in`tyHuhwp[N_kFesi[O?dx_\\FphuPbYYlH_yOWmCfre@l`gejHf<IaA_mtnb@w`Fqs^FbMGrPAeDoq[vrsWiRwpkf^@EkSijAtiisbmBcODjsYdQvHQWrKxDsrVaIdKIY?C>IGrGFCMi?CbnuTjIuyObwgDSUy`_cT=TJeTjSvv[ynkcuEGJkspiWI;W<UdB=R:=j[EJDirjhWUIo\\PqQAkuuKfllbmOXPx[yjYlRXPSMxO;XKxlPodPseqXMo^]tRAurawmxs\\DqAmSYIuSIQkMv>IV=qj[yn`tRieLZMRDqMGpRmiqKpmUMLC`R<EnJLTvYmhMqc<MFlQrAv=hOgdOgeWgUkQtOheWgenepnbQurHX]qqxixiXNeuN`pkqavZXocMqy<r^eV^\\wi\\OceRPmNXtQGlUdASohOqESL`mkTlk@O^Pt:IwxmRAuxkuo@DqsDqXAuSUyIpo?eL[QN]\\lVMUuPpkdq?iNeXnlTN``kxlJCXqYYvi@PEprPdlgdTPAVMeYXtoY<W`hp^HoZ@KtmOjirJHPfuldDrPhSDPnLuum`W]@nd=nrXP<LJ<LZpiZth^hAsJWvkAiuWiuQr?X[yhygyg]Qm[Vb@`kYvaxPn\\PffAukxtVWhGNpOO\\uv_gf_WXaqowlivEIl]qevGx?yvWxhXyxxxxw^u@fqGpu\\gw:ibloiuYuYQdDXc_gf_^v\\QvWigI`owFmFOvOWvHxqvivivgrHv@Xqiqquqsuvw>oxYn[AHtgFbYgfJAn;wxXYiiNi`>iCIapOsO^dl_biw`dvnX^xva]bvqYplqxqa_fUgl_fe`_vVidTN]qGy_>uQQ\\yQktOnU@xMAnhGbvF[wAuPp\\JOZEvtMHvYy[I^h<H_E?peI\\hgeE@wZ_y@aicihugtugjiIjdfyWAl[@t:vauNtef]LOtd^]gf[FAuSxhfykQpZq>xCOojy`QWb[hq`?jw_lE^e=@^BXw<nZmOcggldXolAaeHtmy_@?vJAwIYu[vfa?e^yqeps\\Fs_qZmFc`hvxQyei\\KpdX@n?fowojINakoZ_`rrIgMWcCiq;@xiiZ>^Z>^ZpI[kwbxX]B^ZHxaxAy_VcP@vYXf@aks_ykyrAh[Unj^g]SiwIvirYb^axN>jqAivvpVQhEQqoWwhOqcqnQyeygyCy^Y`alAs]vrGX]QYqNn\\s^`pHm<Pvnam\\xvZ@aXw\\OYk_niYodPojHIscynYpwpWqChyAQfk^q[vbYfinXpEfexXhRqeQNts>nZ@slvoi`Z`oskNZqXaPfggNvq?[woabggCqgCQxDyxTIignxGYue_otyxTxp;Afxf]jNg:?cEI\\iVi?^tifgUouOFwtOqiQcBxhkacVVuDphxH\\WW`MGgV>\\bpbhgfdAnBNjh>x??lCatwOpp^yPyiF_wnN`eqg]ynY`[AicQv`@?b:?b:?fyP\\qOtqwep`gSNtPYgihqporFH]]nbF@:[e^KDCob@oB^]hNOG=WeOOXVqXUiWyuyuyuiIiaqeqwuxUUQiXVQhQSFJAYXys`ceaYWIyYpQYCUxKIWjESCES?eR?kg>mSiaEDsGpkEIwB=GRDAdkMVgiiXeWdwh:EtbEIIEB@MshwB=ahJwim?D`MICky:;YWueRQWyCU?Sujihn?rliTpIXMaW^IuLWu`EdBmXV_FYytEMUmKxhaxVSujEYOuyVCY\\EdKGyUmfPgtUMC`_Ec=YBcguygWUyYQbqIREWV=CidSiDoW>yd_Oc;qXSATUyTdChjSg\\QJhqkcEykpX;Xr:\\vaMlaDmG@qE]nf\\ruIQg]Re<WsdlJmUyySZhxM@JpuTCyuXPkSXl`\\lPmla=q[=XSXuGao_TXytU>au?\\J>\\J>lx:duHPNBESYTYfIPvuR`QQ_MsNXlImQS@Yglq]TX?mjD`d_NkZymnXs^HcMprIx]IX_YQiei_d^_TYkK>gDWvCQls`mbGk]^wrIeZih[x]<ps@nqEa]nx\\XG_kphLnjAixBQu;xZTIgEOfgAquws\\FxAH^jYsQ@km@yvawiIrof\\=nj\\Vp`whIGd[XnGOdOGmIoeWYmX@odPuFGrwPfTAkC@vpGb\\Fq]yrVOjLa`qxnkx^l>uDId=njH?[G`_GflR@fTonrQw>nqrxnbwgTWqP^oN>mC`h`ne^i[Qp[dHjhOn=NZ<b:ViDYhtXy:FgbwbAwZlItxhiuqcWPaO>ifh]cAqAYvC^Z<fn_hnGgcG_bOGkBQd[o^Tx[DXwCOflVoOptev\\@YjYAcoH]MXs?Qru?sPHnlQd:YNCw[AT<oIGEs_WCSIwo?ta?iwIVRkWaudICY;qxv_Fqet<ctsWuLWcGiTW;HnUErwR\\yfLOuAAs:qh@_U>guIAglsSiuH^iwA=hqUS;iROiHucCMMB]wfRYfwqfnOghexGirE;reyBmoCJyRJgWJiGjur:cIr_h?wvR;tv]yBQtDYG=yV??FbIS>CF]WEhSTP]dnsW>mhxeIIGilEWr=Ds?TA?IIssIkU^UYimuAktpiHXmU@YCX]Yh=UgQSJ?UWKbo=TjKwnYS\\eytiB<GFDAbqEtpaI:wGaUgW;CHuGZ;FZ;FjWybqdBQF[`LPDsbuVauVKETKpoeIxr]MSUQLIxR]OPDk>=SOmj<AxnhNgQjnyLqxRhTkFpTeiqD\\lNAPYxsA`yU@MsdQ><wH\\tN]qF]q@MYHAj^xMr]PWtoEttJmWFyn^eYbtLBtoW`TjiRyMsuhPSyvIDWWQNAAKvqyBuRAToBaJp]OXqVf=UWPwfarulKuUU]ElEMS<MQSPM`tKVPPfMLEqlCeNRdvL]LPDXqmm<DP;qXcAmxhPMYj]@loXwZMj[MjEUTwLkOHLO<X?lqJLmyyuwhOGTMSdoQ@^cg\\VPhTNppGhU_Z>^Z>bw]bhUb>aHCcDYYfKAwEwGx?ImmvFMSxCRLOwpUicordOs[aDXKFwWXDkS]qrxuiywDi[GY=t@odkgWYWiQWvc=ir;FIEH`ufv_UFqR_suIQfV?vf]rW_f[MhWYSLeVj;iVYVfCtqauiOrYXJp]nFelOppgPoQiJWdolEY;XXVDYAXvhqLYxTSMvPHKxetahKoLOAUo=lyT<qfIm@xtX]OYMs]dn`<Up<UdTVTem_xRQxKwYlxEjQExt`o:TSFPnZ=oCxL\\ujg`Ki]JcIjjYWfIyATNj=S:EniImlQughw;iKuTVDmO_TUGyltIYfLKoiX_EspQP?xLV<p[UTOArdHr=XqRmVuhwIYKF`VrYqE]uViQ:dSwyyNhqOLY:LJ<LJuHJAEVWPt@=xIYje<xTiWUElKxmsmvS`XktoypytlUR=QVlk?QVremNxsW]TN]jVpMcYQlpXMaPkeKxMuaxSY\\uxUwPionuOb<Wg>`?HmEOyaxrNfv_yrVHi`vtwGpVOoAOtv@tKIZ[A`xOlp^xwphL_^Zqn?GkGngOirSylw_b?AfBWwF__@HajO`bqZ^P`J?eponn_d:Y]JHb@qZTa^<XbV`cOv[I_Zp_`nq_?xjmNhwI]Gii`VdqpfG>]KoxJFcGNjfqmlOyf>`FapGpid@fMXiY@q]A_]XwtHfR^n>>ZYx^Nn^Z>>[xFuuOkCDAcXYw_MdpiEtMd=_GcCGskxRYVQsGX]yAwIvIVEqdgsCy[yj=FJ;rEYroIXH[flaVtCGfcyqyiyXJI\\Q:XKYyyxyxELKD<o^HlbaMApPBeN]tQNqSVhr^DVSlyq]l_ET;xQR<JyxTQeYCaT`\\NadkNeytyZj^y\\yo=gh;xdHqZQYpmwjONiUioKGu`w[yO`JFt:Wufwhn>eGwlUy_:onW^uvhe@hslhfjGug@b`WuGoxew\\TYtw@vhftnnhCF_xaq?`n]Fw^aamqmdAg`Wub>o<I^Gfld^nlqs\\`fMnnpxZXi_?haVOlGa\\uOjnHf]?hkQfT`gwHsjGw@ha^ajS>\\B>q_n^xywDYwCIeyitnWae_ZpGyuGsGA^lXhjojXGhm_Z>^:MBl]XcsJ`TXJeR;Lq_lwNXOlTWPaoTQuTQytQyaxmxMYXaqser?ir_iv_Aqx=yjIvGisGalHULGpR=HrZoatAwuvusq[lHy;Wj@f]o_tK?rEO][qZAxvNhc;^jh?]RikR@pFPoSnn[?wto^MpxBQgDak@`\\yNxliviq_TniCiv:ibYIfiGclafn?l_fc__\\vXsHpoeheIFnT?tm>d@gywvgRxk??^LIyKwvAWbeojPPg_GeYXjX?wsW[<p_Jx[EQbMqq=YlRxkQhoYgxkAqVXoToeSWZxv_ho^RHyx@j]`_VxaPQeVNv`A[B>;_B_AFiocXiGeoftURQ[UjErrGX]qipihigHocHGMenCWjAv;YD`[SB_R\\SWPag;iWh[ijQRLAIAmiXAuRASlCdYEv:kEmww?QscOBuyBsMHj;xcGEWOe`OxsSYFWdu_DOuTNUtgidawsBwGvEBnQICeCHkwF=R@MXEQCRob?YGXCgv]D`cWScP@Hxh@LftPpMwtUYounWDqRQYfEqqUJNlrSuQI=SfTqwlti<wpaR=exfTU`@O?LlvmpvuUO`PfIOemXc`Tr\\RULsvEXjQuD`MaIPMApnhynqXX`YH@r[XSJIyUqxcMMvDyD<y>lKCHsBprMIo\\TQ=LqCtYyMobeuyEU`iLBio=qkW^yE>rYNZWwxRaaUVmqw\\D`ueWavqd>nhAn[Swh<iwH@uQ@qsNZ<NZu`ZLv_kOZ;Fyr>qCXaLIhLQjfbDoWtGw`wdYmYsIqytqsUx`ixeyt]HqFlJ=HoNMwOxTXgk@GuZfrgFwbHd]pqkiki_sXhaU`t`?loxxJ?xB?vJyvnQlfgvr@\\ko\\Pvwhn_O`\\?qc]voC_nLF`RQqSnZOArX_yo@qRIyT_wpihUxaSoohXjFOmih`:ap[>\\rF`r>hN^dhNj<i^rIdtFsWXZupoggwL@sAXfAvkSNZ=GlH>mLhndNsa_uJFj=amsNZCwrB_ohV\\Mq^Dapo>i^w\\BohTA`lFon^]snlGGgoGqGo^@X_Ev\\iw]Tn\\xAdU_^rX[B>[fq^G?yF_cSP^<vZwFhAWpb?]@neXOaWpqtQwexvHimuaumwswIyIyihoghoempfGFwoX\\YwmsVh`xuiyrgyguhwpHn=wjLGoKgZCImBvjVn]voZl_^qVaJPlfvbtV^ePo<YoIOgvOtahbwgckV^Xvp>aZVikDW\\ZGwD>ahaZ^HbSAxtvs`vtqA^\\qmKawrO_xvtTxql^pTNbgagOOu<`pwospH_MybGoydPhKNdlqZuGuAVox>yTgrYA^Ppj\\npGyhLwoVHgo>y_qq[f^j>sH>v_^j[Wqh`qcHwvQcoowQ>y>ylx?_=xx:WgApeAgjvggfinRYZv^odxdA^gXavDwhnIxracunjwY_Syq@NZ[?vdYbhWkev\\_wmIAxdGovyv[Gcl>kbXyhQZAh\\TpbPxmaVhJf[nPZ<NZANmmymiobjgs;_fFOq_nwrG`xvmiFlB_\\Of\\[ip?Vj;IumxFkUrEv<gBEkEs]vKosHqsj=IvgWUqhkUv@iuoutW]T[AchSe>cu;WW\\WC\\qYrqyj[uVYfOIIOEFSkRP_FF;H]mvKgwg=xLeigwr^eS?ohP;uUdOxtki<Vb@V^mpiPKeUl<Uv@US==loxVf=K;=VTILAiSltTxXmRMJJirSllnqYvpqCAWHtL?<uIHunhV?=L<DjvLxh=MlpnSpp_@SD\\PplOsuwyUvFpKfqPkeuDdxYDQsajM<jDDR^]SGmpBHrE\\w?]vA=sLIwnUYuUYeUWe]PTdw[@Mp@j:@j:uXvqlnIoNdRC\\J<<slUSDMSHLnNqwX@kuUR=URUUUULMAqywYyQeTOETpYsc`MYXwDaxhex_DjwqJ\\xpu\\SnAsadOhiwWdOUit@`SVUP`hXrQjuIlyaTbYm:eSl@Pu`NcpNuljcHPGpKipsphSd]oZmlQ\\Qu`tXtLM`lQpgYOqHyh<ysqhy]ggUWtOHnCXvAvkxveWhn:`wEOpRyiLy`RVurybsQxOhoeo_D^yKNeTvopxbGwoTPiVP`Dha\\>t;o`^NqDf`UqhGxy\\^pgy\\f>hBP^gH_vXul@csOeHGx_oxwx^V_oevjLG_=Ac=QjqisuwiIYll`wH@x>AtNX`wxeS`[Lp]qN^ho\\Ixt:adnw[EVpa?ym@_yv_m?^lVapq\\J`oyfxNYdYiyhULCX]?BMmy:[FCMt;]ffqFZ;Fjwy;mt=OX=mwtWwhwwvuvusBKahFqeLeVXKYbIfUsWvGTOetuqwuwwDWGh?RuAeDeftWijsvKYBtIH^occKY@?Rq?hlGE=Ax@YhewTW]Ib=vZshu[iqmcf=eZOGxCsUytYEI;YIrOGRkEXKgSkFG[hS]rYWdhUeIqHN?fJMCI_Ej[Y@gHvYv\\OxKorKcvLEc@KOU@w]lq[DjWHqcPpfHyv=tNAvlUyRuSK@nwhoxxQe`PAQYFXUmEpV<Y`DS^\\oYqy=MPCQLiAXZMtndSaArkAU^=rE<KB\\XA\\PQDvj=qcHoCdQv]pOlYyxQydKiAN`lwcaXtpn`pr]IxZDLYUqpeOOxRgInrAoMpWb\\k`@RI=TfuSsEXpyr]PogikUAVgeouPWZmOo]Yu`XE`qU`xSEJ=LWVetZdTQXS?IsjMoIPMpQjq\\RWemyHyLaW[=jLeP:MotikveRTasFDXI<XEmOGAKd]Sbimq<jMuOM<ol\\LEHqT\\qsLv;ay[hKl<kntV=iSIhUrMruPOmQY\\mVThqPuOg@j>tmcPwd=wQyYfAm[`OImrlDpeAuFUuNhQhHTsuwoTXWEMVdWro\\iidNplPppn`pZAkMHv:`mxakJHkN>\\J>WMGOORDWcnieDIcX[XXqYqgCoUiWyUtQtQ?W`GwwwxXYchACWUUq=XdKVrCIhaXA]RQCDRIBL_IZ]rB;XsEUQYtvGROMs^WTZgwOyvMmDJHYBLj_QWcLppyslUY^txPHsteWBMKO@o?=sTIWA=l_hw>iS:=NYqTLtyXapcLUqHulHY`ljWpmtMwc@Pj=PiaQvPXMlx[dSJXxwyJ^ewrqUKET[aQ]ir?DTv\\R:=RZxJnYwQyKcTOlMUDao=ij=XOspoUUJAxl;`puImamms@w\\XkJ`rYMYcinItQvAXIlMCLqi<WhDwkUJ?aQ^mKKiR>lX:pN;EnyloUll_@ok@kAmlNxPXij]xkEaKkUjMtkFqvQxwXevNmpu=s^UXFeyZYpGmQqiT;MUOPZg?_tP_ePp_QfoGem^_`xuYnZ^Wlp_wfy[<qd;A`fgkEYkb^vHPuPvxr^baoanInjwlIQvwwc\\PfD_a=gu=^cOoZTYeeymr?qi_xM@jSDs_sjStXYhIubdOV=cEycsp;R@uUJOigCs^CWlCgsWhX]VjYFeKRQmViqYYMcLyfIueuywywij?hJUtnsfnEiBitN;DJ;wHcWgeWauewmHGic;Uf;EcpuBK=twWU\\qStMHaeeomtlgVEqfFEelsYxaymmsssvFWHHAwhsrWIeWycuKySMta?deQDRIEfStHeVvibOExHoBMaVMETeQWqkcDAwuewrQHa?v`mTGqR\\GvUaBSwr;eW^YUPGv\\ObnqSAaFPqWgugNWvvkIL;DBYxBcFb=gyAxggbweWEaVIoDWQWKeHNmT:Gf]cVQEYOOBSmvFyujGr_[wXqy:KXn]ELocskvR[EgOh@krl?g^whrGI<KB<LK^in_eV_UmpdW<mnHpP>PpfqK\\@Rmup>iQR\\KpxpqxUmesoDnJ=osHqSttvayayQyMvCxNtXuxDmFMtV`TYxsqmwsxvXpXTIW\\\\uh<pMluhqT:iwQpOxpNpat=ivGYwkerKASuMLSlLK`VZdvPLkGmwP]sFEVmuSMqJMts`irREMgttgem@HX?EXSlpKHvVPs^IOFqwfprplw_EJQMu`]xEtsFMpmaQPqSlQxLmPYiU^EqYLuZpYBiUuTU[pM?AlDEJTtxqpuVDqgeJpEJ^DwY`LQmKWpYLmrQ\\S^Mlx<xD=NM=S=hlFeT_`mTQl>ykbUbfvebFqiihnghogvIoq\\@yS@qgb:?Rq=S^KDk?UFICeSFquQCylqUSVIxl\\yxuyvIymIOIeMGEvLhNEmlitUh=M@qSqxRmES_xnjEV<ajC\\lpTNtyj:yVtiT@UtV=PcMXfqyuMsG@Y@apLHtb\\WSQKMlJhil]IONxNm<J:<L:`N\\^daNyGWZqHfkN\\iP_ppndGsn_reqfCqwlqx<n_F`bcImFVsBhvSnev^whG^]yfxvnRhm[>xc^nL@pcWbj^d@Fw`_^^Q[txhoVrSxocHgsI[jnjChyG_jUyx]ytLPc_ykr`xr`cv^`M>\\J>w;AgZfl?W_;OolFnJ?[HN_[glhGkuNm<qlPplDPkDPytQiLVoiIy:osv^tlPpl^qrahtfwmIkTVl<vm[ntTX_[We;voiHorPgjOfeXcowl_vpTvawPdsfwwfr]icSQpD`iBP\\>H_`iqExq]F_ixbe^yrN`cGguPZryoFYr[Hu]Oxqgrg?uF?`@xsDA^SvaUWjV_xWavyVf\\@ZLo`hO_j?_=HihocLf\\iYZt`rtxjT@knvqkQgSQrAWyJwjJhvZivQPrCy^R@nDQld`vsHipXclFufA[tYjq_pf`pF@nLXijiq^qrNOeZH___rHYj;AflFm>IZEpy^@_T@cKa\\J><WbUiw`GGfQc\\?FquS^KDNWvx=hnwiaGscgf_gfIoItAgQYw?UbBMHoQihwXqCVYof_Ov@CeFmV:Ab;[rTiRkaT;owBkh`qxTqdgCSSSsl[HQwGgWwB]usSX\\IBmScK]WEaDLQf<SyQIh^arJAHGky:AHI_y_SDEmyqqxCqDaEvLSVliV=mb<?VAOB<KB<KBAkCkur[WWtaxcaxaGVRSidGhOGf^[B;CbvMV>QD:gVb;GNurG=dPyi?gEGYfnMVyQxbABcSRoQyGSs:idpGVDMg`swtEwraFQUbkAxBAifEd:yBiys^OfG]REWyOIin;UYWhGmH]gIeIUrSE<oVmYvbqgviu>kCC=slobf_upgCUqBEmV`YSm[X`_BSGSpIUm_RP=u^=cgOXsWueyGUCIV[HGYS[]XLMDMGY>ydN[ucwiK]rWOy[cx`CvAOCB;CB;CfIsrctWyBhsdE_hlMFK?CjepJYVOUK^mxBatoeUqMlEDSVXSVQV;hm\\xSOePblUXXY\\@j_XmVuksTSShNcuPbTq:@rXXjbuPTXQDipj\\xfeqW=ybESvLtCEKMEwn]ob`oLhSL@toEXAaJ>\\J>\\JpyNtMoVPqZEr<xTXEY_hn_hv\\YkilQsavMHXjTRptuWtXyaWjeml=L?mo[@rHlK[dTdHl^qsjER?HL_iM?AJudmrAYg=tMlpA\\j_DUDQKexwKdyTqKWPNhIYeMpkuxVpmF<lL<KEiR`dxhMthuPrqlVyYZ@ku@mhPYr<RQHJWpRSuVIyUFmmgTljDRIErWyQWltxhk_LsB=tp]uShPa]Y?Qx>@u>uVdiLSaNqUtChjR@lQPNRhm^DNfDn:@j:@j:qQ]lwkAYvXoeXwxYyiyR`iQgMunxsGIUIyfCGrWGdNFnaX_jIeJoljwmDQcxVlNXkhX\\MwxtG^QNx^gx_ivwfniQZ<VqDnlM>orPhp_[Ngc<`\\:Wf]Wcmqp<QrL>kpHfa`]sngv^cV`^EN^h>^Z>^Z>pyIcNwhY^\\Of\\GGmlfjRFymwswv\\Ehr:xfy@uWYjrQajAeufZ`ibd`k:ynZFmvFxQywi^]NWZTG^B_cGgu>ixGi]JVsRa`sfllhopWkQFiGgZY?fT`w_vfji^kFtRVr?YjwQk;qefNmhW]P`m:yl^FmrQ`s?pNQnbPqgFxQVxc^_`AbRH[S>xO`xjxl:I^XFsJheSQuc`eOAc@yi]obQYuY^lt`^oFu`OuJv`fpkTHnJN[UH_MAc`w]^AmlHki>lGnxlh_xFe<qZAob@p\\KIfOhZQy\\J>\\J>\\Ry`>i]SxxZHb=pbH`]Sn[Ax\\h^eRWeUWmFo^C`lia\\>Itc@ZOfo;FnCi^jI]RnbhFg?Wh;H\\;V_;`^AGl[iyqvu>h[eQdtO_UXk_Nk:>[nQ[lQyWottgr\\WgPh_ageQwZ?YebQl_PkDQ_nxkDXs_Pk<wa<NZ<N:IB<]uc?fLYWigipYwYuyTsyvKwbWfdQwdAX[KEGOt@[HoeHI?dkcHuuFkkrncs=?SGqUZui;UTn=dF_fdgr=EFrsxuyyGwb^kEQ_gRmxD[YnqcikelIuLMtpUElWIGgebuHtwc<uG?WTymDauT;erQ_SweU_yGSerQ_Cx[YC]G]iUCqr]IcpGty[YUcDn[YsAinacQwi>kCk=uC=bn_VrgDUiePegF_W=qvOiyx[Y?[GJeDRUEkaFEqfcYb@ObYyr\\?wNYg^]wiKe<QdTIYYCdVAyL=RL=GgYSDixt_wPQB<KB<sBC[ghmUsuCNcGP_TbEeviFh=UiSDq=v<QH_cF_sdVMXCyGxExE[F_yvWwXXaxcYtQugXeuSIuCwYtgufoxuKhmaXtcCvMXdCWwwr\\EHVEcYOFeuIB_BgiBpyC^cTogG`atsGdLsSvkXBAsC?sc=xQsEd[Gaeib;E^avxSwuIcUiFjwuu;gFkhgSGfSu?mBckdFGrUuW^SVW_x[EV;eRbawmiuXKCEyvGgU<KB<\\Zfy\\nanmpuJAtjWxGy`]F\\Ywphg]xIq^GsLfcMqqvivivcR@`;F[wNxo_nP?yH`fw^]HVv<FtnwoQYkNviPaoS?^l_u?nh@akFfuNAqQyZOhngOoNyr^O`SQh^h]xFeAn`Khh?hsGgfSP[p@mZP_jxa[WoTpgbIgC^c?Q_bAkOfouarryx]fft_jw^jkHfMAm[gfaqmdWsZXpvUpGrPCEWMB<KBAOGnEIUKfraD^iEXISTgWqyV`GCfiS\\qgbKsmssvStXquHWsXscacdDEwtouTQut?WKQFdKDugybKgD_xWOR^Od^ccWSIPIg;eGNeV>kIwYea]cA[XMgSxYs^WdpgBLoBC?UAoi[ehPOS;Weo=EEqhVMgbII<ci[IUleCJEeIOSgSUpOUkqb\\uYY;Hm;VSgy@cCPsxA=R:=R:=v:]Fhqb[=FSuIqaumUFK?cCIbe]yxuIxIcV]EQgGEQxsaYBMrJWf]CfI[B<CwnMEyKXugu=ubHcrquVDOg:?rp=uLOfbOIMYYn?fIEhaMrrEWUQFj;fTYDPQvk;s>ArO[d>mGj?RieXI=dOcRHUb;AcuQx_EvyqihQXCAVoeVZwce?ooTW`\\JNmL_upGUkCxpUQkBDPC<KB\\M\\@lmpTkYtiIyYpvDHnjyS>YNBqu_lwdPo@PR[XQiaqm@nZ@rphW^pvrpJcMQl<Y_uR?yKLQjnMp\\MLC`raQkxXKVltVAs\\UptAscXOipo<Du?lV@hQhUSAYQTTMETW<`ut<uNHY_@kfUO;hyHlneUOS=pxeu@ilYtKaeTPPtPhW:an]YOAxkjXNKDkIiwk@SUITjqX;DZ<rxuXboX<ceQUxHsb=axaWs_QRdmEEgrlIUukCX=s]IcoWTViEQMDeuBXGW]kwi?ra?VT;u[]ffuxjAsomYI;Uh=d<OGn=bSqDUuhTKvWmDZWXbUsZSTcST;CbwyVJCiNSYS_VPOEc;gwAsMuyykw?MrLOb;?x_YtlKSZcTJmC`gfkEhBET=GS:=RZAD@OrY[Gd_y_GxQWcy?WGmgnICAkCPQVvowoMvhGWTMFK?fFiXCMdbOhLwuiyfVGEaoiLKtiKDH_xteiNOR]AXtMCIYcU]GjWb[;ToCeu]XD_rBYiQyvASI=qUL=BYEcr]CNedU;B@Mu?sGL;wGsvL_S]_BfOG?mX@idEiw@Osd_T`Dlr]Q<mTRuLODxpEJ;N:qy?yv^Ai]YiEwDSCfbMIhsGWMiNOXSiYxsU^KD;yxKYfAUI;iXDAg[eV=iToCeFMYwORsQUZYHJ_FasShoV@aCrUvLqr?sYgYvDOb^YERos:]IccBGmwuICKMF;gyGSU;_c;kwp?cwIvuIcayyTeN;pst]WQaoS@vMPJhto?Qy`TwypnXHtnDT:Hw:dJwdK@IXdUsPhOgdOg<qJqtPqhMncZHdCIciark`sKi`@yaoo[V^tppgWQqcWt`vqYykUycSP`?PtxvpgWuPAuRAkUOcL`b;hoCYlaVtHpC_bD;eZyfNSu<YhJAvRauVaiheutKELEXqIB=kBNgdOGIggS_OTrITxUhuSIusIxAy]iDekTf[Ur?HMGsJUWC]w[yrykykEXkEXoeXocwUitOiDHsbSmWQscm=I[SH>WSN;CM;um;ElscbWHCsVUibp=DuShoIebebBsUV;I>iESwHKyXvIx]GU;yxeugwPmoTWXAY]iKDuk;UY>mN`MwNIo[@TbYUYQyPIpAqMU\\vt\\uNlmAUybavuXKB\\VCHlcUvIyQ]UmTPo:XmGhTJ=TR]TJyMLeXZuVphWdhMNATamlO=xT]q\\O\\RyujfcjG^KXgG_yaijaqr[vbQigGOl;idnOtQoq<fb?_p;Vo`i^;@iX^h:W\\H`eBIwCy^Y`mqvgXn_Fv]x^ygypYq_f^_>`qTqu>qpWNuG`\\S`ZRn\\f>e:Xi[v^@oaG`jUFelNdvIymyvYQhEi_nA^Tv`hPodPiaimqO_eV_cAaNg`VvcD_cWpZAOuLFiyiiqiuqytypyopohpc_AqsqvUxoupwtN]^GjEpp[q`rX[cxp[I_h?q[qjQnerGncHoCvk:XndNyI^`fQfmxyoyoygimYmYaqfQpEAxrybVFHEwfoCeurGAwC=iBeTO;uESvosHoMHHorD;Sp;etogRQDZyE\\=Yx;HCWITGFnGRBUiKAff]urGxtYwiwYcifQoXVCn^MlJPs]HRSapcUtQqqpip]ykylq\\Pn<dsVdj;\\JeuLrak[<VF`U[Iml\\o\\Eo[=jIiqKaPAXRTdqtUygxPZxwZUxBHTrInUiw`EReDVY\\JpYN^dl_dWddKGInQwefPpHOmnVkwpd[htyxmfVCWBMOH_ieQiGCGeqyBh;coWF=kC?OR>UtQagSUxdYgiosSWHA?WwCd`MdI=fRUIhSFeurysUyeyoyIwIwI]rTIXV[fR=ITWF^OrkAYVIfTaRcGX_ke?YwoQdrUraocFwb?YFfKUn?CAEsgWUqOIe=hs]xbMElEXh[IHkwLItKIx]yEyAEcGY=UR=cbpIWdEEgURsSgrKx\\wHlYyYyyxadMmS;IRSIYD=RQKRUADIwyfOd>?b:qgs;rZMUZEGvcGJEd^[fgQhgUhTUeSeXSCGYOv=?CxwxtCXAUsLCc>=tdIfwWIcafMOuTQubevKuRWcbNaeXsG<sY<;ilevDqtPqt_]E_cF_ShausxYvYsyBeFS?tv=cagX<CyJGyrKfJywUQHSobNEUYkHFAHweIbQWeMbHoXIWuMovcGUtoWdkWk;xB[wAIbDQHKGU?kHimXu]yZ]hZAX^ixPGrJWfFSt:SrPeFO_bl?YKQCPkfOCwVuB`;cmOFWgI`Ae]MB;?RnKE?UF=WFTcBQYxygH\\_wBKU:iGq_WSQxKyRYCtawGy_ylkCd=SoGd^Ud@IHKQvNMGOuUYuitexd]IxmipIHkoPxPkEXV=qjGtgmic\\ntNPb]avaavIxkBotaysYxkxVZ?fr@okVFar?xZQodP_VviAgkTfb=`_tf\\BYvc>k@hgu@v<X[xWxUxunIwMyjRoa;VeBwfK^rW?fIWZS^_Hqgeql[QlSHvMafOo\\^ay:o^ha\\e@qeqoup]u_wkplPp\\nx_Ay]y_ysxvXXipIuaw\\N^\\ZHaZVy?XmgouvHqmXpmqxUygyGv?x\\TYuUItT`qyqyuYf@ak;i[Vnii>^jhmUF]b?ZrAvTHZ?iw=H[]O\\wYy=QqGNkFVbKPsQipZAk`QtRhhjGg\\_tK>ui@haV`hqn`>ioir]^kHN\\F?iQg[HOama_QPr`XwRP`YHqdOnuH_sFiHNZAN^[As_N`[vxGnZ=@cAY[EV[Qp_WOqoWwPqybgglAb;agAHr]VsYWqpg_g`]kNf>akSV`bAgXvkAva?IjIPlNIgAyhYiiQFwon[N`piXldpcBwnMa\\BvrmQle@vJvhLAi:IdOQvZP[@@aNquvWxGAyKGisGiUWeUiaqau=xfqOpXyjGV]pffDalEq_u`g;Qj?>a`QnIAjaQi\\Ika>xlowrXvHNxM>xZ>ibvjxXkbHm:q]<YlpPp?AwRGvDF[AvwFP^e`qLV[KQiBIcqXc\\^vxx]Kigr@[gncmWhmycyOyM_`t^mfG]bw_`qsWXk`ysCIv]hs@^[R>`h_urxeyQyQAgS?tDatPqtxhypYub?gbIa]@q?QZYPj_G`_vhBi^RPj^vhp``MYlp^]^@fEqZZg\\OghxIkrXe<VyQFwnqtGVwGyxXoc_O^Vpt;Xueij]nbhwvs_qYQ[PqiZx[f_m\\v^MHc^Nvaammo[Hnbk@efyky_y]fbxh]lp[s`mP^uL@cpNdXyvXXiH>ifaydXohP^xikUAv;V\\C`j]Vm@Wp?w]s_vKhrEx\\Mqw:Yxa?hR_rKw_yNnYQtLQj=w^qngPnwXOeTOc=>__fqrficpqxpyyxywy__Pvnf`ofiqYqYibqHZlQaUf[`pgqXynXtHWigipQA_dyka_y?y_xGbaNn=Qa]ogxi`D>[fq^\\I`JixfQpCqmJXkdPmA^`kwbZXtiXwtniIWnAwk@Wx>ph;Io;af_AbPQ[gH[tiyQoesgv>IkMFhGaysYxcwe[IxE^iPNo`Flep_cngBW]Z@ulAjxQq?>yDFcK?ey`aS`k]An@inN^rWQ\\RyqBHjpqvLgbiW[c`iXol^f^HAa?Ns=?lkHxOPf=@m[FuL>eJHtGad@w\\q^w:aZkxfLh`=IpCF]mF`TytYwiWNxd_kJAe@XbOfaVnbEXxLYcifpppp\\QhsGisGcCGkMhs<xbZ@eOXvmH^?vel`fCy:sEZQHtwBnGBXCEqwFOQMp]V[arTYWdMWBxrMTjAuV:trPMM=EXUXqiqquyuyqyqlOATj;YYhIqayRyLyKeTOeL_@w^USKIODdks@YvQkDPk?XKQlUyeyoAul]UytVHaMDiVGyxaDXAEV:eJpaLtxK\\QK>]ObeS<Ms<TSOAtQ`tGEkAqtgaufiTCLXy=KnqOkuR=Dx`YmiMlJdtottVUP[Mr>tnvLOg<TCmNVaKwqYZQMlttWuXWytxpxo\\UsPV?QKYxsaascxLJ<sUlSRaQQTulHuR]NkLV>dj?urIqQIUTB]o=yJPMs_QtvlMipnDttX=VyYRTMpbEXpELGyliPYlIQaAJEyYRITAmr^usG@p]PkuiX:pKf]YbPNOTvEtOv@x@XMh=vpqRtevOxTlDY[DJ_tJD<S_LLCXShDq>tuk=x<MUvmxSyVMMVFdvfxj<ENt<KxIyMxmvavlYsitrytlitUHxV[HWcpky<Rs]nB@WnLkU\\tQytILMn<w`YmimMp\\WRdM;PNqaXj]uwEx\\irqeuouLjAORlwlewoxtLaPSMlZHnvPMv<QGiT?lMZymxdYtiLQ]U;MpI@sryusuvW\\WpmqIMRUYkX@NjxNRmXiywXYy_yoQ\\uxUy\\yJxQTuquuAlFEJBDRgpuAPu=Hv]xry]nBqSk`JDav]@J:LmyLK:YN_uNupv^dw[Qmr]QHxwHYxAEJ;LRTUtMAJxUR=TL\\ASu]LGyUX=KmpS=xMk`Ns`jOTxoiM_mQsaqlMtCQXcDp_DlhTNjxJZIYdIMShRUeNZEnMekLEK^`KbLoHQXPiOIHsGAnWdVhevqtswdo]eJEdMc<xxpUlDV@IQJmuI\\LCAvNduAYVhpn\\PpdpqZTNe\\LM@YH<t;hSOEX^LNPTMHtjcLuGEwhTSP`OSdQt]PkTVTTsB@fkYoOXjPxjIv]XPc_`uhwpMFp\\@mwfa?p]unhfWf]W^HpjBOmYaimu>YDI]XlWuuSIuSCDKCb]rFgr\\UWPag;kEbuI]acmkYvYvYStp[PfXT]dneXoEINnYsPhO]DuStrwAXX\\UMxs:eNP=jAqvi]qkqrOTOP=vKAxtEO_pm<Tx^@KcLq;uo=PksHOsmpbTqByjo`KEqlldQdtyxEW`DpgeMZdOAqnSlnk]tyxW<ivBhoTmpKDwuYURTPFqjJ`^_Wd[vlKqcgols@vLhwYypGQ`rhwPA_>ysHYwDgn_nnZYsowd_GsshshOq?yjbfibqxl@tTGnosN_B<CBngEbucbcEJ_wBWvwYfc[XNAXKqS[gs\\Cdf[hxKboWk\\@XQ<l;XSfeUkqxymy=dWg@Wr<RNmuO<uQmlImrkqRq`K?dWZhk==JmpxP]P<dKeArB=Pu@W;=oj`MJpuW<P=Eo:yLAdnDAlvPQHTRNmoBtrl\\M?qVHamCeLH@kSTl>PNHlUBItYpYtIWDyj;IxeanMpSDymcMyc\\Xn]XF\\Mr<lnhMyHxGxWJ`t]drvHX>\\r?Lm@QkA\\qgqpUAtC=mnDWLdrHINIuykTWsauhitexTMAlT=UR=UTMUTYXDHOxMSXpR_eV_iSqdunysymymImamm;YvM`RwXnCuSmPU?uSr<nWYSCEXepoIELipusewFXJlykBAUDQmdiTbDLEMswMKu\\wUhutumqXT\\qupLmheQgMxC@XTIvrAumXuBXQGUw[TwmPWOQOntSbukjimnaVJqJcEquivf<n;EREuLC`RJqN\\HPLDKhQZ`I_Lgrroangfg?ZYW`gasryiY?xeieCacTWuPwZTXeLa\\KX`a>pa@lb?d[Q^?_m;XmVa_cn\\mfixnmaHmNghVN\\vXmTvpxYvSpyPwbTqcsh_CvrB@tSyf=Ikm>r]`^\\G[YvdOHpNhwdN[\\xgX>sjobYNkcx[WNanOx^Isiwqwq`H@dW_]BykcNjHwsGHgE_^\\As@XweYwEYsEYdc`\\c^pfaiZadOYdHGa?plk?k>iwCYbZ`^S`iOghVokAYvmnfFAr`FtSFkrXd_^dvV^X@k`Xr\\WZDPkD@iwQkhWo@wvAAsJy]:ikcFfO@euffZAtpnc^gcZxpGysHpr\\vq=GuPniEOcPwk?GZ^^nw`^EQr^w]mgp<Np_QZ:opjHcdwijV\\hVjKvhjfaZ?q^nwFNefIh]^rCW_CXtBW]RxleYuQiwagpo^\\Ip[SAnmnyrhdSQvLWxHfm_@bE_kyo]r^fs_dq>bmWh^IlAOlOYidIoapyoyoyGbhV^JImSwk`ykD@`M_j]ygyWyUy]xAxA^u_arMvc>`uvx]kYtO>y<?_dngiQg<V`]inFacXV_DgnLPv@A[fyj;WcK`dfQhiwqpQclfmLAhnNlSaZEPkxhicddYxEwFAwBS;XbIfLsfBeWK_EI[Er;xasIsICLQV^Es[AXrYrIsI^KeEEEX_HHeIyaymygxOydUR=UBhssSWHa;DB[x:ppqxp]AlqdVDaL^`wUupheUt`XcLTs]QKlmkXn]Xj@xQViyCyNY`rmlTOeTGemtdlXPRayM>Plj=XAiOUmp:tK;hMy]ykiJ?dJwtv`Xli=LDdjbdPYpN<QQhLkJYQt<UZUjWHVm?usyeg`uE?^qvkP>kxxf=XpL`[pO^[ohSpnhGvZ`gRpk=FseH^JY[rYc\\wow_[XysmG]BGaLpmHw]pwcPPitIlIp]wbxcYtQr?WCKagVIXAiEb=sJQyZCfqmEZKTkgVn[YNMtsqdUmWCoR]?yciHQaU=ovL_taeriYTZsETsxOcW?GiFqGUOcSAxRAUb[hSiUNyTCGbfgdqst=qbT=Ex;s]ixBWI`;hAUf]_RkICX;d[qvwksCAUBwYd]V:et:edr]F\\UW]axHqSq_sDGboWwhsca_gcwUYIb_grCmGT?vo;uJCdZYFA=bLMI?]HmARH?SCQhM?gCMYH?IredPod\\ACOitOixCyFY_Eu]wk_HxEIRMh^ECcmsZqV=mbFCr][XpmXxMWUsBNEUcQbEkGrOydYgkys?UcPCv;CcR=dR_ClOwB]FlOX_QS^YtqkurLtp]XluTVHuk`rmXj;AN?\\wAykYty?Mr^qKmxr=Xv[`mvpXAeQ<@RO<n>uVbisx=q]]j:IYqHyq`nl@Pu`J`DW[TSkQy@tylyXuUwATrRDPe<T[dVGUMtmmpHK`qVjho<\\w^PX==XsQVPdTilO`UmS`Oe\\siDX<DoMAPGiob`qiUVo@w`QnaDr>pWJXUt]uZXMjTxRto\\ehPXeYnvsgwDHm_P]AX^kwnlHoBwrY^ijIruvwvXx]xkxNawaxMyjIv]xYyYyyxOx^IsHvhiXoeXqeqouptixeyaymysMH`d`of`mnFgLfccw\\mPu?nqbN_dnZH@]EVoj?vnNncp`bOgnhj^_o:qa_ax`o`Tij=@w@hcUnjyPylOaSvlonr`i_UaxWV`]?vZIrZH`XYlBwfvPfdxu;gj>O^;`aR@wfF`cwqYyagOunhpewt\\QxypyoyoeoospjpV^oY`Vag;Qj?^l^>`aosVx_wGwE?rmhtuX\\@WnnoxKYnAW^mqr;PhxaysYr@h[ufxNYdkAan>apxpqxiiYiYYnSwnOitOib?gbtocIVyMofgflDGl<_ah_kGHbphUgvLwe?UDEgr<DJAITSqukXxnyu>uSr<P;yqAeNUDu^pyJpSi=UyHJhUy;uOkqXniyFlUZeR\\Upi<xA@VS@yYITphjHiNT\\Rj`souowTwwUY[emdqPoUNZTpAHv@`rFYnUuVW@T;lxnDO]`wUAvq]QXivpAy=DMyXsgIubqxQ\\lPxMsDWbPUJ=XrhxYpWCXQTTNfYUb]kJpn]hquUwgxpJQKfpUwPylXshTQtAw]XnKAO?pLJaWwTxFYPNDapWqAokVFaeotfpawOyZqr^N`]ni\\PZsAdrXbhGsvoZRhsAw\\XI[_HoMayK@[fpb\\q_G`xs?fwgoNVk;xsENkrOxe>pAVZ^otFIhTWnfw[>Aml>pXyn<H_;p\\G?ciy_;xfiqw]GeZVcd`[gYrahlV_icHePym<oxxwpE^g=x]ZWawNllxrPFjqYZK^bPIkyP^KF^SabV>sX>iZIZ^?xixqxQivn]AiZDPs]AcQFk>O]UV]EXkEXeUWeIwawaxTPmT^u:vbnDgmd<Qr<]VUAY:yIyIyIylxQy_XSQfpdg\\HhiHvp@OcwytypyOvyVN`^?sQxQEElMXnCy>iucsfdae?_B\\sXosHW_Df=xvoSCutfAwhKt`MYy[IJwxhcWY]FlosDIeRagLSHuYtPWvgcWAqFqcxlUW_wsfGRMyruwVYUh=MSnmD<WulggZ_eQMr<wc]qFqwbDqiHch[IgFoChyv:MfMiEDexKedF;UkUIEeVw_yqArQoCIAcuCEK[VXyVVGX@AekSVhgipQuQkUrEBGUr`kCTwyXquXqUTMUDUEQgdOgunUtG=WsOgdOgBqXZqiNkxJsIXEbIyb^CYvmEPmTSUxbIe^oxpYWewTIAEkkVf;c:uf:qIUCffkGN=fBMd`Gh\\GIXsT[;SW=fUiUgiWJ]TRgv:Md^KvPwB[GIKOitOibCt?OVRAIXcSWOIoyyxywyqYmYeYAFGieqsWXisqsuFWvQMGOOtncCA;ID]HiCGcCRtkeFmFKotqAHAUgmWhMsbp_S`SbUMvlkEyivQwUxqtqoi?MUiAStyDgKU>[UQgipohPsr;AVj;wFiCuaDaqFpgSViuK?Weqdq?XW_ET?TEExTuF@sw>KukAe^;F;]bX]X@WBJKHiOCHadMAxeysbAvpUb`GsA;vQgFmUUc]VgmFpUIUMXSmRioswSfDuSlOwmiDu_UVGgaOTZICYkTwyR_Su>mv:;YdqEGmt;yewcy`IthgxgYuqIrAsMoid`ffqahtfknfiUqpg_f^@g@XyowtWwh\\IkaNlvfomvcYPsKiwM?ln`ixhp\\vl]XqZWZOHk`hqbId]XpkFoaQvOItufg@x]Kgluvf=>sGw[\\PooGypopAf`:FZRq]n?hFPZQAv]auVG[AxtCQwb_yRActa\\MNeynldw`;I\\]@bvVpK>u]AjQ`rC>mHipF`qfIhj^nrywNWvL?lJa\\Kp]sOelQyZfuC^cWGZvx\\yg[DWrDojGq\\Mgebwcf`^Qo[pQxxYgkqieV[WGm=V]HOitXbXwZF>]Jyqywil^tqiuqwuYnyjyZBijwxmrOvCNu`aqmqs]fZ^?sCvqnwhjO[EGvbxdN_dNquXqqvGylO\\Mwrq_^wY]qng^Hv`qkunw:In>@eoXbohmkQj@WeVFebOcRQsOtfui_AfnUTa]cpMF\\=ikkw<WJvduTh`ZQ`G?rg@ob@n]HlDgqZgwANyb?c<iw>Wl\\Gp[VbA`ivOsOhqMQ\\SoprPmBfajIlRPehhgUotbytxQrlwuoPjrOp]gsJIgwqjFVeQHlNgce>`sgc=fjoIcD?mC?qRFaF^fpiw=omR`\\QaehE`GVeOUfsTYIb=SdCuPsEmE`xLXYX<J:<L:`^;_dKfZ\\x\\TFxDnyNwyJfcowfFVmDvqs^lNfk<F\\hO`F_b_Il]xy_y_yGng?ojQp=akC@y\\HpZVoNxejhgy>]HN`aoc[Gq@qr@_pR`dGOiaXu]ybN?o\\pohp[WNlpppp^ukOx^Is^apJipMoiynexNmW_ufHn[HZWf\\VoxtgqAg]o_\\Wq\\AIfZ@yAfutFfbvhYnjKGeOggmQmD^cPVcL_g;_k>nxwrSgeruwWqvgWetqFM[WXYd_US?URtiCV;ChcCNaw:=fdKhHKRLSyJ=Bw;D@UtG_suexdit]kRF?RmwUUUUEevJ?tfyulUsg[DJOWgeWgCGcCwP?R>QVnAHs?ir?e<yHr]bIkIrAncUtjeNHDMNuXc`qv`MA\\lXLkBXlDXJXLkLauYeYogsGisroeAwu]v]N>]Do^M@aLFdxy[h`msVh`nkt?qjwswvxVOhCi^rgebihJOgJngYYjNfq:IjZ?jJp_m@a:NtRvmi@odPqbYiy>aZPmAV[yqnUpngobvIjLIxYom?vnVpddYvxApHixK@i;Y^ZH_dponViIaw]O[^PxNfm>pj@XijHs=x^_ijAHfAIDQEG[VQ;coWTKAIBYYpsRl[h^;h?Muk_ROEs^CTGaTnkUnwTICHiiiEKvDavB=VUwEw]xKIYmqvssCGsXXYEmMyS=W]QitOitaxcYhnEwLQf\\OFvKBTuSfuITkWnGwqwuxUylgVEqTf?UKUTMUhxeytMuqQbEkO=iKq\\KX\\QRIKaAlmTRkqYkAWlYKrpxvYUEYs:HnbYl\\To?UNAUSXPSmTLQ=nE\\W]@V]qVBhN[<TZlwS@rX`KwlKbTKMUPRuum\\VjEoZpN]<S;AvquXGPkPYoFMtFEWpqxitQemoeMt><xsIufUOnpklHj`TrjAxBikCqkZMONDXQtqnYjItnVPXDLlcqn`pNVLoXDY^IlEyOy`YJAn;uOy`yldSDQMqlWVDK\\Xva@sBYYrlS@XJA`klPpl\\MnmqtitiPNKymutXhqrGXMuLQtlwrXvHLLJmmwTYpdNxxxnlJePwVHQmmMv=x;]Mw=lNxJ=HrIeKXmkFYJ_to\\TWaxV?Au:xwvuvu<sTIXuIt]xRIPMoLss]rg\\x^mKbHxhuVe<YlpMYPj;ipV]WpAyi\\MBAqteSs]uchjDeOn\\OnMOf@jdGwtwn[O]kqkPwkexe;?di>_HAm@xlIia]X[J@_WimUgrFqaHAaB?xqA`OnvZ`tmfZ\\HpFXmUxfE``>a\\D@qYNsT_vlfZdHtHGaco]bo[BgtKvaTGqlgvthheQxE__KYfu^uZIjAn]rgwoxToUJgDEydKGf?sVXcyx[wgEYIGDkGrRAETod^eXIKel]RfgepQfAkCbmDKAW\\QRWeUWYrIsIvsYxaY^ewrIGkoXvACYIX_adcSThwixQYBIwZMIxYbM_U^;hu;Xs_FYwC^edOmYZadbeuDiDF_TC;CfYC=yFauyCeR]CxHgsX[EiCYoAbHqs@;gbOxray`mFGaGy_sxUuFUHL=vJ?BHWTBug;wFcWFwofCWUemtfGF;CeCYdaSTFub`KdpATs]h^_f>ISR_etcXdcRcohfEulGV=qBv[tMySycUYuUIWW@ycYsIr=xZqETYRKoycYtaWdFeCHCSimisqF^QwXOTxQWx=wWobj[VgAi]kc<ysxSyfcgv_xLYSCewgcdDErHOFmKBA;WFErHITQ[hj[g@?TiSDGMd]udlaEFkxU=hn=T^?dq?s]QCSIitCglOFyMuQCuYMxi=u<cEF_STusbqF]kwv;HM[CVkXxKgDCYmusKQTZysXywqYfcCWiuWAmtxydy_y_Ae]mcsOvDWGV_hv[f?AywiR\\CdeogtOWVAik=WxKyoYwQscAYgs;XAMsvqFDSiY[XVied[XnMiSYhauSV?IkwbNEEd?EOUUUUYCiFQ?vpcYuqxwwyxYyEQsDae=Evo_UsevO?WJIbe;c_SdCyFX?Y<cW\\Qf?Ucx=x=wEfeutgDiEDxMwv;S_sbAIg_IF\\aEYwD;?flidvKwc_Wq]xKWE?YI]QgT[WGahNEiG=dNsG]kw\\?BM?rXCFYMtQYRwecUoFY_Bk?WTiDeAxv]yk;WS;Hp?bfqBCqYi=xKSr@uCo;RmcUN;i[yC?gTOYRkixfuc_Ov;OWp=iM;Ir=TN]TnUrGsHvkxRYVoeXo=r?YtJqW]AHAoVY;iP]COGS<mBFEEccu_?in_hn?iWqWTcSj=Bw?w\\WcxexewU[yeiiiqqEHWb>qekeyNGonaQkIk@Ls;XJALtjUjGAq`QmemQvAx=MkMdvaUraytZHnneSVaKWyKZykHHxIMMAir:\\X:EVAdvc`qh`rVQREasBmp\\TOFpJ]dU;mNdTjEQw_dJ^UQQPmdTXTlsaxUblj;Dm^lYNHPGEUKeu``K``oSaoRTkGYKbPloeT_LqxlL:tXSUyPPxc\\osMo\\qnsIoVyr`YO_amADpWptXLtI]ROMT?QXF@KhTNuaWf]WvIuIqY@`jovdQAoKWnBQ^JxoIGclfdOgdrPhCQl_vfXHi`fcPxycycyOaqowV_`:osNGtwY\\xo^<pwNNjhPvbIfuO`s_vu?vuIqaqmeadhpb=_uVauFx\\H_owybyNyKIwaxmHxlmnivAinqbHyayainNyIgaoat]ykynkqyvPYEuwvWxHyyIquQ?rSETVUwQuGqeeuSyxSr:aCFSrdSiB;C<?bZ]BQ[uQaF@AdyOeBYd^sGT?yFoRMsd>aFTCHikF`KW\\OR\\GtbYXGWCBOhb?F<OFZSsjWH=awUiUuEyyeTaqu\\GEP?g[KbQoIyoyGaxgYUWeUOuhtaeiaetcXHKgdawfaBqyrb=vcqGMayqouCeSmiCScDtuh=gFpWH?aC^]brWi<WShcya=GNKxk?hpIsdgTokTFqhCAvXsEskY\\SsDQuYMCrGHoQtA?rpYCESCIiIqaUZuXZousYxaYBfwDQsD]aEVqE\\AbRAIxQBoWs:ScAcT:;SFIR:ObyYRbAdMII^ub>YtrOtuwXiMDFubdwBLWGPScGcEt[Xhaus?df;ggUv@icI_IlAC>SW?eR?[fIcuEmF[CwZqCtAv=wCP_GSMR<yDyEsVetG]Gt_XfSdG[WfMeJahnke?GS_MiDqc\\yc`?GuiIWww^otw?RC@LE]X>ekHtOEAlmMOK@ku]qtqQPDqYyqyaWY<ngAVhUWN\\w@=YRYXJMugHxAIJcapseJvXjVYvpewTixfYpIqypypyhngiwOhlO`LjpLv<KFXj\\\\SKtpThQumx=uKw\\JZxSFMwpYuiuJVhJiYMylYvdOulYklWhaVWDlMhscumr<Ws=Rgqj@pJZyWn@LtDsNHOM=sRmK@pk`UnaxxYyYyDpZIKMlNFtMx\\mlLVJtSVpPgMuCyNY`KoeJFUXXaqsuTXEY_LKrTvWMqxlwyQmUEKgdUKLYsHvVLOEqxamVkPm;PsAYWfpvgQkGQS:atXiYIhtnIXAds_xY]mqCxLMPrrxNryN==rUdpmlo@\\qfUsp@rAuMkdt>aYE@MC@RZ`onYUQMp\\PVW<nEQT\\LW\\lW>QpotmgMMXTju<v?Ml@mXuXmwas_xOEDTxMldQgGisGAyrQsevo:HmQytQYvvOx^Is_hn_`\\>OlFfwWhmW`fsqaJPnKA_?A`:nj@Nlb>_b>Znoep`gSYdIga?GhTN\\C`r_vlVOZ;PbUgeIVlEF[<>[\\_\\:iySxfXHneVh`as;@ltpwtXwZXfrVd\\P`kPvGFvEFmuFgLa^nf\\\\q^NN[GH]mnfJAn;___Af=gvWpc^p_WfexYl>hluyrnwtnfuNg\\EqpMNo_Pp^?_BWybIi`Wu<wl:NjQG_U>ZxF_fgssvlAOrWGmpojhXivhyAx\\agva>n]?iMXkQPkmOhCVyqyithydVtfoaIInv>`I@uJIlj^[?wxL^lJ_]IvdNah@QxtfoFN\\jfiqiuqwgtHw`xtXWiGpqu`wlXshvqvQxTPmTNr`@toIsu^mVGs;>hyHxGxg:H`WYhIiainqrQ^RVt=x[x>yHYaiAZ;ysRH`]ye@hfvNd>?oW`mKF_Cfr[iyO?dlYiYYyXyexQxQ>hU_`uPn\\PjhNZoxpn`pBqq=hhLh^XPb:OdJFcVQjy@vLXaqowf_gf_y^YlIoZH^]BH`;G]v^lFFyhVotuUCGr=RuUUEUtX_G[QWQItPAWwqvaiRQwUfqcGWSAmYtgBvoVrkfxYvcgeUotQ=cqoHJGTHqgsGGq?gRGxoEih?VjSR_ESw[eAsRm_ukSSYKI]acmkYnYfYCcruXP;Tu;tg[vNAukWVuKIt;bTICKWbeWviIfRMIhWT^IHDysDCUsWWQqg_YsQWvh[sSKxVuy=yExABsERZMyJMXJsu<ch]oEBMFZExAmEs]bFqRJSfMufHeBjuf:UClkD^[fj[bfawSYhcUbP;wdWghOy_yGyEKVIWblW>yvB]v^QtQTOkaTiMtCpjvaTHhOZHojdRMepKttwuSZXVWhXp=pLpMrdkkus;YnS\\VKELEYJTMOOYl_Up]AXoEOcAv;=xN<suEwLinrPQ\\]rBHX]qrwavatQkmNdmjhxkmMPyTxOQKGUMt\\XblsAtKX\\YEiOq@JlqoYuqxHn[HvcynYpwYyqyeXoepFeOkiJJ`pmUsrplLDrudY;@tx=pQ=np]L=ptKYnAuKTEMZdq_XpmXXoQwOarfAt?Lv=`TUDo>\\rYyJGLM>lkFlyx`WSQpKXNAMna`SRLxSMWaHtaAWsDUA]VRESTUMO`qXmjeIl;`vy`q^LP?iNWYjCYRhTRFyOEuxjixhHO]quUQxKuoOyolTOLenfqVCpj>=qWYjCxLP]Q;dm:YTFTXPHm;Tm\\`YjQu\\QQiHse=kDeUypJQ`MN<rVEk_\\KYpnePWuxbkV_A_rkVfkq`ghoOhqtavRabwHfmfe[woHFagapMqfjnlgneaoe>yrNwm\\IcDQ[[Ff=Fc;W_P@yVinox_gflPpl<hsLqiJasFacjoyewowp`qv`QvvnhxMOaFA\\HnnG?oHAtE>v@avoPbvI]aYvAykQX]h@^uqnGWm@fZ:>rWIgivnFXvff\\pHb@IkaVnIieqguo>hZArYhyfyf:fvrHxDY_i`rAqmwViHwmxfqQwoXGpR_gGQmov_y`ylYyiyQqtPQTw;RjAG`cVYuhMsdHOIgyr^[thyfdqIfKGIqcTyWa?SmIeMOxe[vEURyQRAkXbCyIYsxYxDybXOWe_T>Whvmu=acjyYT?cs;x^KU<SeKws?CRr?WnKShiWbkdMWd]suwYFmkC>?CcuHd[Ts=xl;GtyuvqvqCF>AsGwscMGbqVp;fI?G@;cykXfAuY[yZyB:gr:kwMsFH]wMyfIIR]CtxEfdag:Ai>OuKYInWD]My^YdImdQwd=WTYiYqiuZqhZyclKGHKUxAw]wcLkb`?upaSR]uc[wFcY>sx>yw;weA[iOKC:;EeCY\\KtI=ys;ToCIcKfS[d=WbLyVJQe@plXdSH`Sc]w=umVHOwXoAiSXPrPaO^MkQHw@TPLlJNdR@AQduN_Qu`IR]ePQ\\Ps`xctui@UVXwUaVj`NEqLyErkdkNiUeqtOXmkln@\\Xy=l?MmDUYN=xRiwhdnoDlvejJ=JqxQeaom@O>PMh`yjyjy\\nf<vH]teau:eR;]jCyJ@tNZyyZIsNhMCuLNYqquWlllMMkIHl]tRL]s=LvdAq<DX=<jHEkTenyLQOARTLRkEXkyYyyxyuxeytiQoepod]Wf]u\\<K_=OL]nF\\uH]Jb<Jkdywxwwuo^`n>pL>huYtt_tlx@YVHmNQU>lP=YwF=oW@LvDowaViqlXYWAmJrXsVUSExLilUupXgmV`mvoxtXUQemtfDW[<N]\\J_@jP@RvXoeXOJ<KZHON=JR@yvYxIyuvHYmi_shZVfwGx`XAqbQnE@_W_uKQrhafHFn?wc\\WhrYiYiiqIZTXbu@qyqyuIt`GskFtBAdb^jPXnu>ayfvNXdbnjQw`Ev`kyuTPmTHx]yr=GscGG=Ty_CWWysQYD]iRmbwQR]=WVafd]dpmwqKRPKcxCgHgufCsbmwXuSj_frkebuxlasg]uQ?ikYfIOGH=E\\uBmgDTEFm_SGQveurpOvJ_gWisPkGs_dTgW;sgWOeWEuporN_TdciGSI<wWvgrfqsRGdjSFT=hj=TCIEM=U`wsWChnqFjYX<?vMyfIuivQxEIGLSRSEUSCbfqsHqSLSXN?t=mG^Qt<aWsEYs[rV;Tl[j[XRAPpNQqhdTEDXmeuout;=qZ@RpmXpdLZTJJ`SG=QmmvFMsxlUKET;Mr?ImGAljyPNIkammsmvgypYqYxIyaylfDU<QTeIp^DOJaQZxYNHyTytxpJWAjVQXV]thQlEuR?@xPMj=<j]=LJ]nfxRrtlKhLceXHtoplukMSM`Y^=juDnj=RgYYhIqAtvMmnFEMwLYnDXV\\QCpp`aXEitFuMCet:EJ\\MWbUw_ulWmtJAtjYqYiyH<nPpxFpM@ypiyQh<p?\\n]\\tHURSuUYuYmisqTjiMJlxY]YMYAN^uSCXlbHl^ywHHTxTxFYP_mOOMtw\\mUdY:TwKetlhVEAwaDVchkA]TfYphTTLts_Py_PN;PK_xtG`tA\\Vhptnap>HMPxTQEUflLB\\Jomu_uKmLv:QvuxXhQobyQ:qvc`TSMPWej\\MUphot@PWinIusXeOMtOLxrkxlDQyaYseputUXlhVraP_louEurXtDljFDV`XmXdPGIkrdOkdtuuwwxL\\<rshMEMMa`nVilvDMjEyVXXHImpdWTDY?MtT=oVeV?tr@<UyhwpXuBMV<=qBEpGuNZquJ>x>auVaeCIsC?lMhh@`nC__PVrAIx<PyqywYGeSGuNatNXlMXbhh`r_`hGqdQoe@xgfo>Qd_qgJ_ZQ`etN_^F]?Fi@Xcb`c:pmjO`jner^]``cAwbdIqtFfAigUqp;GqAVsR@akOfsGis`k]P^K@on_]ao[i^\\S?jP>\\uwxhiaZ?r:^uuHh]qbnNmPwZHpt:PlmIk>qqGisGYx`is=Pk<p^wfynYt^gc;W^cvyNNmDojJN`u_\\N^\\JoyvnpyQgcF\\?@w\\VyAfiEngEosgvm=QaHG\\yGmBokGWsc@\\XnsKngiwgQH`twqj`inxysNnW`^D`mvGoIF[U_wfx_f>xsaqfviRO^LIvCpg@ixXItRVpNfbaOZfX_VYc@_bth`c^op@yS_dQAuhQt[vvUneO_cZVeApva?kwg\\p_juOlpxhGxwdOvDFnIweKQ]Svt]Pl?VZhAh_haCocHGt]?gcXdtWoEi^\\qgsyqK_kh@cEg[kPiLhs^aa=xo:PuCQgHPuZ^\\B?[Lg[Lqs?QdeIwlWtNft=PlxFb^Q_CXkmvfHamkVf@`r;^lFfpU@[:YdjaxJ?_^qylp_s`x?Y\\cFvLg\\A>ba@wEpcGy]jXpf`ofWwPioAOtOojJi_kH^vvkXv[p?^]FsZQ[sfuEa_DarS?_Vf[T_cH_v>icJo]GXZ@f^nIif^bMhnkfusXhaycyOyM_iV^`b?\\NX\\<PunHfY@ac>iYfvZArsncJi`\\QobFcPW\\sxv:pjEPhmFc_Fj@>xm?mw^^Qnoixoyiwiwiu@ikQfF>^g^oJ__[_dxVgPa_D@_Ypri>jIfy_Xp:?^XngeogYqe\\ydZF^qgwRIdbfd>gbM@hFi^QpaGFZ\\XwVgq]YlEqkU_ax^kQYrwguQh_DvbTO`O?w;pf`odsVohYcb_sWAuQpx>WyCA_`Y^C_`cvtb>aRXt>gba>_:OpFOcnNv@AvLQd\\>\\xqlXW_>FxcGyN^b[i[VHbB^m<Qjv`vCq]>gkko_PWdRy`THmLIo@fjKad<QyhygdQlEwb?`mh@_ghogx`WahMWdMW\\_H[<^n^@ycAdQIgmPsK^^WonUWn>ym:Ioff\\]fj_phpOpNXjW`^TWmmQ[DO[Bal_O]aNth@hnwrNOiWFbGNyZYjI>sZI`uoxfOk[uYmvj]VagrHKHbWsxEISQfNuWZ_CJKsaGvtyXtSSIcFqSeoMbtGg_=EaIr=wBMEhn;BPkDsYiJwcuMCUEceaG`]r=;wugstOsdwhqsHN?uW?Gb]GX]r`me__vaEWDCiEAVBaDhQtZWgnMs>wxF_gAiFQoxueYjChFUbs=Q:hmtpvmQPIuV>hPp<p@xKl]QK]s]ptbhttDvNltqxO`<LXMPQtpahQK`O=tmaTYs`xmDXDXPl@kY<WeDNapXLTLLaPhviSHoJoj^nl@H^N?cINhtXdLP[;W]@avPo`axtuFs`FudFoT?aWPuWPy@XchFqniZmV\\SnaK>ekIsavm>>hQHjSGg=^[K`cLNi>omePlC?n[Hn;@uG^\\?nlDxaB?aOOp[FqMpjHin]has^fMydSIuv>mTgggg_Twi>VesIaB`m<Fg>F`Tx`VAh=^lJX_h@q\\QlEo_[Vu@fbZuTAGgkb\\YGDow<aEUsc^[Vach>_Ue=SwGfWWiyqSqcvlGg^evWqYXKBeaD<WHGWx[IEFaxcqU`Yx=EUFiyDIUwMyIOfrGd@GdZmi:?EbctlGe[=u^gsr_G=ifIESCuBp[SZKxfOWcmUnawm]spCHs_h:wFa;wS?XXIYFwFqwXm]f`wIKkF@SIGsb=abTIcCYsWmRrocyOHhwDW]bJ=d@QXBqItGdp?f;=tJGy@_bZCyxWSSEsVkUoAiE?tsSS?UFZkxXKC??XW_Ue=TyCSS[eEEu^SUBOWWWC<[Hqgv?udVMXcYcp[CCSyoCxDKBLaVpofWwefchbsRSqEH?FXkvF]f]Wf]=sJGFnWCxIvAwEXuhheES[F^SX[gglOxVOxu;s?_IcEC@;UYEileFHyrHgEU]TN]BH;YNcs=AWycrg]c>MFQuUweXWPQv]QuawmXKDLK^=XGMj<Ql;Uv\\`KiXsLUumEo]aNuIXhaXCHR?@oVPv@<LNxyVlQhAW:lm<mLNLSjarVlxu]KolRLpLG<UT]NlpprmXmhYcLlO`tytKqtnUqldXP:yxMysRUtOdVtmO]muxmR>hqpQP^uLEtXTQOEXUCilYTy:uYSdroLqu`XZYK@aSvxl`tUCITnTmmPtGYYNwa@achyvPFtD^wfqufOw^nlO>dkv_GvhvPtAPauVaSOgqGoMa\\<_eN@rh>as`eMg^evknnfEib`Olt_xK`mKing?kZp`d?^=PaswdDG^Ligy_lMOaBi`XGyg``UFlUv^goq\\FuNioXFgmx^jwysa[^_^QA_NgnMWos>dIIlGqnmOqKhn\\Ot]QnVoh@WibWsPfjv?abFaY^bBqbP?wLXcYobLXqHWqtPqdPod@spikcp[>vcT>a_OguNphXvtfvAXawaxMYeUWeypxoxogwuxhy;xZX>q]qku>hK^o>ogTHlX?jLfxl`tlFZca]rg\\ygyeyeyywyqyi>iGaoSWpBIgiA_hon>WiBhZ]_`cggKVZtOtCw^WNovff[PrBq\\Qv\\qhpoHsBAqHqxEAcuQd;HlKntW`ynYpxQw@@^nNxuvusqsFH]m>gc>jXhZS>j<flOhllFrMOqtOqmW_Qv[qhs?^nPFkbNkDakPVs`Wqq_iVXq^G^uQw_`fHfxsghPv`?_tqw\\^XqnIoBqpfgr]X]C@q_idGV`K>uTW_Oaqpqxt@rrHg<H\\dIsEp__X[Ko]_>hlO`qG\\L_aNO_FFwHq_I?stV^=^iCWHcsdqSM_iNwDLYs?IWaEFEwCOMRKCDBMTBuSU_bZKUDqduqTccvMcWnUfo;XSKS;OY;wg\\CdB_uSoxSeC@]GO;vRmXMohRQsl[fQ=dRKdEmilwXnOufasIQS<ueskxrqEN?GNiI@WcZIr;WIheUlEwE]RLgfNkDPkInAt==jciPQ`U<<ttQwexoXQqoUwK\\YbpOMqnH]mrDLRhpxpqX<rwipQqUumysyveXoeHsx=JOPuS@JB`oELtK\\MBAMiDNJUyvHYmAXk`asasSX`cidyNkiW^_oo<W]x>yZYj`qv`_esqvqvqs?i@vbfiphpohIuawmWnav?aNH]\\atLq_<?plGv<ijrIiBAi:HlKp_LxmiNkH``jAj?vxfIumalMocs^\\]YbmQt:XqSo[y_x^Hy?G\\UyqFVcQgoRVtFfbGAsIYtAomBqysPe_GpXou>HxKQ^WA`Spw;^xlAiOonfYsk_cxPxpPpipcQNis`v^`Z`^jYyjSnnrgySFpHVpxpmwpqba\\]hlIa\\Eqe]ovWp`cobexbmA`wV^[qkPOyJ`r<`ZQXr[A`j_yaHcZwb@gfCqlCnpLHqDOvNObIQtpWbpOivinZPZLYtwXmG`m:xoMikXo`LPdlFlcpet`btfnOFsMw^VyntF_RnkFPkmIwCP_avmYNxRI^bowfGqfGkFwlHObJfu^vd\\Fq^gc]VbhnbfAj>gkAnyn^`vpc>ywHAeQpqN@i`fxl@l;@iLanCocup`wp[NhpmAsxvhY>tff_gfqbQnE@mBidnHh]qrEw_w`xCx^X@ZyXZA?lT?aSVZBgw`nZnhfEqlUwgwhx\\YkinqgqpUQatNalN`ln_r@v<PmTdFkBAEtAieVqS:OrQ[GR=b;cRaowswvXWrrQB\\WW=sJr\\WRAPVXJeyoTepDTjH]K?MxiLpN`oYuqXdJjeJWhjHhRWanJPqYxoyPtDERTMMkLVV@TJqMs`qbDMqMULpwKiOkpJGDJAaPwxTYPW`Is^MWj\\lSMWSqJMlm<Es;@TolYr`vLyn;<XPHVE`kupljMptAvwyxSQm?qjOiNFDxfpVbAWPEU?ImfTvx`PphvH<Ut@xMdUiawfaNYiLviJduNi\\l=MOrMNuHNS]SBlTLMQgmN\\\\`Igbc_kaF[BGnW?s[OtSNx?hnvPf^qv_^dbfqXivPI_cWo@@sa>sH?fTf\\\\hvL_lJ`i[nvIp\\LxyIVc_Pi[XxIQkTIeDYmYopPPe<opjolDxhcfrGX`a>nvAwnam[hrdGw;Oc\\WwJoolN\\H?lghuWXohfisGcdopNPZ<@e>FhLFqUf\\fwnxpqxAs`OeBoj=`nJV_YyyxyxUWeUwyvyvyVvKxwwxxXYrIvaFxljxiyqyLh\\\\ij^vdvNs_PkiweygyoyewQwQOdgAodPoT@akO^SqjIpoMwZ_`hwGv?x\\X^ijIbn?h>AkKFuSIuAHcNGj;wmtfhdQsOX_UN]T>rVvhhauSiwqH^XabhxyNV[lQpEq_Uv`h_mVOx]v_Txc]_tkOduWiuf_c@sfO]FI\\OynUW[IPf`Nu]fbcnxinpoV`OoeK_cUg`fVc>Qu`o]wH_]V^yntTv`]FapWa@^`tpyMvyBIdX`cOacRQkawe^>itHuDokC@ux?vTauWOhl>aMqZ^IgeQk@P`vagaWd@Ysi?mCh_tPrt^tVWekPpyhhgVod`xkFxHQi?Oj:nv@hlCW\\\\ndvXfAqkgXeqpv`qvp`pn`cR@`[Ad?hf@_^lwb;@n?ikF?aDycT``C@p`quwXiq^gRAZkPZbhke>fWYlavcpow=PhT@uCqk]fmmO]UV]QyoYwkTH_>Ya>ffCGcCFqkAdbq`d`Z?HdmFapooSWPuxWyX[;cCmx]?EdUrMyGs_vLWdHMICKgBkWaOsysbeGCTOC[ubACttMB?kI`EgGqXnGEQcG[?YJiitexd;Gb;VH?XlQTFItCKuCUWH[d^KxjkB`Cgt?vs?ERMrLkSyQFQ_UtQX;sXlgVm_d]_BwOxLKWL;E`?hggWgeWA]ShGSgCEV[f\\Of\\muvGYUmhfEYuiwqGxhii`;c\\sFl_tP;YDOf?mx:;HKKu[OR_mgxOydYTHEI_MunGWnQHMwuXItTAxHUYuuIvAx=MhF]sTgHeAxbOeVIbDOcDoXgQu?wcimisqFjWYIoEw;g][VwuFx]b<[DEKXvAykiYs]Ds_vBAIqIixMYLGX:Es:GF=curCHtcY?EE]OtpKeukVNCUg_r^usFQsFkbDODgUusMcVcdgiumwfaGWd?boqfgQi=AinIUYyGWYFX]yhos`OytoyDsUnGS^KfseVwEuJIVuaxBudLqCrWbouIxAy]yIxIxIWH>ciyqyuAvjyBg[SRydJUYeUWeYVIgIpYwYuyT[gXcd:=D:kh<=rw[yjYrqkurUfN;cOitOYSQoGg[Gf[ds[SbUYL_BhQhlqf`ofAkEr=vKyRYcgggg_CYkuxWyXIIemsrScdRKdX_CaAd>=iBwWQ]gREblaD>ieFCv>CgQ[GR=BkmXWiXQiTPmT\\WTLivwYHKqhgUuhOidQgGWEqKdCmsnyHZID:;BB`N\\^dlH\\LAkCiyo@w<noaiv_icWPaoy\\y@y?^n[fwThlHfyNYdFPtOxdXGk`pi`@uFNhnAsbgvHwdQpq^`^aw_s@lKybs`^_fecAgMQwKnZhAisFsd>ZHf`yoyv?pdXihIqaGx\\irGf[G>f\\>vH^vpHrVVi:IrG?[oxxfuV;Ij=vFGEmkioigiEs?CR<QhAuHFeDtEx\\Ycikv^avnsHqsdN_djWrhMe[SeDAwKYfkKBRsBneW_QsOgv_ivDMcbyx:SY\\?djIuSIua[ejMBEEIsCsgYIYghK_Vb?dEUdLsdE]BiSBJMssCx_ofNwUuqIn_dNwW:]vTOevqHm[Tp;YjSExkum_yOcrfMR[eIVCVk_BxhtOAMAAypxmhYnd\\Taeuh\\oqEs;ETMTP<YomaP:\\wwhPwtphALMqrfXpwDY=pRTdr?HXmDLn@m_=U`xN`UUpposHloQt;@spmKceLDdj:amUeJ;hXIUmpdwZQjJ=nOMjXxwvXxHYxIyQImLV<kjLkMakMDmVDlhEjREnV\\Y^mVMpYOxJdtKrmwEuOw`RbhqUhq@MkBMJYYYpaw;\\RxyqyYyyhOUmpBuWS`sFaSvTSTpxkMJwPvCxNX@jFiY^IlA=NuHjCLplPpxTtralPpl<=qE=xGmT[LkJpRUPV_]t]]QtEsLhN:qwMxNImqcqnUPOdLOtNtMxmYxeQwdaFdu>t<frmWaNNs[XuKgoFwrx?mGWrhFqn__MXtCXZDxpFitZacowcEqd^?mya];xZInsi@edndF>yK>`e>qU^\\e_qOycwfxNYtIwawWvGx`<G_afc<O`rNp[WdBVe:WusWx`imsovSPp@GmH?k:_yKQrT@]l^h>PtFq[YnaVpd:v[yW[tf`n?wJIkMv^h^er@\\VWy@X]h?gdOgtPvDX_BHs\\_x;yqXgioitqvuvW\\OgmootSWZ@^[ZXwnptC_ywYppy\\qXsYQd@ykax]XPvAVb]@lHoxc_]AimC@]UI`MHionuIUKErdKG]yW?WbTsRaIT:sxj=E=YRMATmeyS[UtatpADPsccmIgKEoOboixXueYWI]EUFYvGKhXiY[GBteHIkgbOiDyTp]ugWDcQR^eR@sVX_HcMTSEUSqwWYi;qrQygYuYb;vhaRIYeqsWX]hbED[=taqeumg^_f>;sR;wSKbS_WXaSRUf;cIq[WRATV]UFmw]_GOCRRMheEElgy]wcxKbl;F[UG?AfNWSr_FfIxqGhkGxiyYyYywuxWyRvyiQugXUr@gC=?TxsvVWX:sdKuslivEIF:oIvAx=qhpoHNGBxwioqtUuVIqeGmF^ws`ws@UfNkEGOrigcXcITcE[gVwqdPodV_eV;S_gTeoTgAukWBGSFWkB=QHemtf[h>MBhmdDAxDuHLMgiYdHMIC_iwmCHqv?GyCOyEEUY=GfiiuSVWMyLMrPgyMMg[iR:YGZSvMEvU]iAEhR]cPStH?HjufQqbNuYvGhfchieynYtI<YjAvtQytiPemt:hVrdSwAtiyrFHMm\\VBALvhw^yS\\aJhQlaeM?UKk<yBYxIyQIluAlnmeyoytYhYpIuyQxPLWsYNI`QlEs_tlZqUjdvemospnyuyxArPAVwAVUuLV=X;dwHlRqyyvyvyTS=TJUyQ<<raMn:tsvQVEUnuTS?hK`XLsxkA`J=MMR]u=\\VfHT>uSStL;Pk_ljHQtshVWUV[UPKHnAAnJAp\\qQY<M_Xlnmme<UsiyiDUa=urymU\\S`pJFdlUqtomqxYVdayXMPNywElKiQTtQl[AyKhPE@mZ@SmUnT]Oo@J]`NyxLULsOdkcmYOaWD\\XnDpgtOQTMeTr@hMnQOUqjIXwu<oypWc`yWXnqPO`lv[XmylQG`Vd\\vb\\rMDjB=PdiSUpPg]urHlvYMCiJ?`SvdurxXgeWgDYa`kWTQp]yrIxZUs^us`TSD^\\>>e;tMqSucSTOcBaf?mG]QtHWbaQRp=TSCel?dV?s_kcasSOgBEkD:]TKwyFKW=_FtcvNWTVGF:Gb]yiwiwiuIxAqYdYnITZ<YVEmytYxlwWxPimM?qPJHv[inA\\w[@JnlMgdYx=tu<w:DnJ=k_pLJHOt\\vEyOy`yQER^<jJuyEtOv@PwMynEUCDqHqXoeX[pJDdu@Dj?dTAmNVuXCIqF\\WslOfyS``v]MKE@KhtLJdNwLpvxup]uf<YW]RVivMdVbqYIv\\EA\\MhbBxbPfxBhqKakiqeBPktf[@iqvWbKoy=fb>atB>pw`ythdN`qEqfgoiBnfuVaKbR?YJWs`gEoaXS]sDkRrYUZMuGQUZ;DO]YkUGXgDMcTBchEKVS;BDUShQIMCWy]WDkEAYENST_ER`?ECacr]yEMc?sfDsIHScxwcCoctaroMC@QvQgYNAwYcVLYDbKFQoB?AvQOu?qRCKUuMCmkI>CRpyEqeGpMflKBbqs:?hN;SDKsj_UeMI\\=rwAT>wDuOitOi`of`avMwSxOvDWGjqHDAiA?YQExXWsr=UAAvuQBvoy=wEvAbPuFkKWZyUAwCsUGw;vKyguswvWDdEsWsXVIBxoB@iSvAC]GRUGblUXmuGv?x<ud]cEsmBAuwpsh:orjqBjoewOSuex[UYp?bSGywEeFeTNEWbuXKIiEueKoDiKUrCx]if[AhO[xj=VykXlaDPEtEKh=wG]Ag\\mRsocpGW>]bEIWUcvNGGMmhheuTQuTQyZYbIkcXcIT_W@AfR]G@EUICGJ;Hgir>?wwwwxWyB=wXkrvsSxgFI]IkarJGF==biifKiiUQwb[v]quwWY;KhCcF]QF^YSAuRACub=CRUd]WC>AwMuSwcb<[B`wWxGqnPnEUsQaV=xnttOu`wlPsDQsqputUKgyWf]W>\\uyxxXYYcXpnhMEMU;tK?PuyinoQkJqJjLyFHMmlvHimEdT;pMkaymysyAwAuQLXy>\\PqTjoMMCxu^@TGHMFyouEm<xL=QpgelALV@TjNenxHnsYlEYNDPo^dlH<WmpUiPvDdvi<lnyS]`SJHu:mq_@Q;yr]pWMuQvdLPlLHTMp\\WZAr;@V:MXSDvjlXkMRgiSGOxmYxAv[X^k<YuphguwxWyhQwoXgcvvl\\_xXXhHIa=yjIvytytypwHgmIIcDXxNI<uTVStK?Y:EYKUdYUFHOvk_CPaufIvC=HM=BeARxCvlkc]AbBgu^_rBqIEiCsGi^Obt=I`EDxAv_wWH_rYwyaGtTsCZYhi;tOiDHAIoMFEYGBGGfCfTMcjUt\\AwWeXaCTt?Cp_DFiB;CB=]ENytQYBQqGSMh^QdEmG[Ch_sX_CDDsF=GuEsGv?Rxcv:?yOeTOubdweJ_xDgDekTgOU?cr:_iVcekat__VViheut`isUGxb=c[;GI[hk[cvkRbEROOHp?fOuWygypkIPgdOgUuewowUwQwQEt`mdDArTiGyGwCyFY_y@YEi]IqaumuIyIyIIT[;fv[XL_uVaUlef_uB^OSvaSDsCoOc<=TZgeJSfoeXoUCQkGVuhheUgeWgiyqyuyUvGwHLwI:Ww\\QxiCsNmyosHmmDkcbw?e^AfdMIrGe:sU`Ou_KsBgCqQrxegT]YXqbOEfnKCMWY<=UfgX?yiIWRDwixMUg_cEgrJChh?wCmYa[wbqf_IxbWSvswNQwuOD`ov[meCMwjuCMYCF_IGEVXUI:ODWCBxOEjafs_hEqcR[GT[VxGUxmE`GGaCDnQW`oDOcSnyHCoD@[RiaylGCNkGHaDWGtoSWYSxPcGqCej_gEcS:UVviBK]WYqipYc\\QeDiDTURmYsXevTQrMacfsxtsGNgdVSRHER[EwIuT@oYB=vhsTbaec]v^=sdCEm_eRUrk;eKYDG_y]yEyASH?Gl;UIIvMcTZ?bnCT:wtYYXIiIgiwgYIp]wZkR@wWkuG?srnuX;yyA?DSMrp_I:uS`gFf?fpUxXguniVrKt<qhhMH?WT`;EHOvHsiEueL_GMwRwywdahFUSQCuLUutKr;sg<QHmOi;[GMQhOSUKiUUKVt=hMCxmOTFqdSWHamWSQh_ySyMyMkIx?y\\YclKs<_c\\QBHsS;QTjED?GBWGXwQsesgvsyvYxIcvMOYeigqOve[ywMycyfaasSWRoAsWoflSsc;CruDYCf=[yryrykiwqxUItLKX@_FIyTLsSmyvIyyUyuxqRcUTquwXiYMiSqcXMOrHafH]vJWH`]sROcDOCBAi`of`wiyiyiyvWwXXiBQ[UZsFmcwFOyVSw[QH<cI??rAAc[gTn;bq_ulUCd[i]qcu;BViubiccmR:ew@GspKhgWcQyimWFPidM[Coqsi;gh;w]Gy>gwFQFC_st_sjQrpideYwqmHScW]Ksesf`aCIaV[cROEyh[SEUXqACWcYZqGgYwAOYmieQyc;iFmoghoGlah]ksbMe`WHSWx;eGb[hj?FSiYP?FcIrIkUcSFNqYH?YgqGscGJ[flUd?]GScIU]s`cuZQYyCCJkdYKH@wC\\UsQAXYuIeWsXiiGUc@AFK_CYsV]kU@mTLiY[eVFMxcmXA?IGixuSIscI^CdTsVs[gMmSeScTkvYsyiihkecgay>uxwWWTWTIqy@MFR[x:sFCSGIgrm[Hk;ROcsO=CMIdtqxgYUMUT=EDZ=r:YUUUUEMSD=CoWRt;T<gWSKhG[eyuwXmwoYCKGbioC_cH@_CSKB^iCvQiausXob@oblQxlMDG[DAMRTYy[kbJ=bfuva]ekmBsCvZYUc]F\\;YwWXaqSTqxDwcQkUrEFsWsEiUIMTTQf^CyOATjGIV?TL;G`[cwad_eFsqSfye=cxMYDoOS@Gh]_TM]HT;Eq[eaiv_IdIoIT[YRsEtudB_cwmTcsvLQx;]WgYykEIasEMKFgCFFywnOFbUIvavGEVkofTaH[UVhQT>QuKoGlSiESgtwepEdKGFT]uTifjyX[SRRirMKrhkWjos`?SEidxyfRugg[sakDg]DIAUewwVewd@WftRo`LOYpHQuwpsVayRmve\\ONtrVQoOqXyeuXTUCQs<LYottODYLdbihlmHfy`loqpbwiV?bGavfa^=Xq:FZCF`<Ombvo^VuIyswHs[Hvq?iLXm=Nj<NgDhm:NrPqc`OiG_dTibk`nGGp=?bE>cFHlh@j:waFpvw?f:GxhOip`_j_npPsXFb<^ZQHg\\hfJ^hShugA^i>edwfI`[Kibs@ncNaiV\\`^iDXl]acBhwLI\\]FvLVvoAw<yw;GvZpuiympotSawWhZRxfxgaMa`LNqX`ci`lj>mex`s`xc@c[geoWifylXhgc?uMNpRPfSf\\Oy^bvfHQ\\@`c?OsK>s<guoYlCW^\\^sD_oU`uy>[FpgWQqO>wsqrUvgFqsHq^y>iV@lU?[^Xrdhde@h_^]HvxhiuuOr>H[WQ`@PaC>_P`fDN_viriRVipu@scmmF\\v^DP[<jPtOX]yFYPIAJSYL:pnWMo^om<@cLqZPOcfQkipZH^]rynyfyCOsSOlPocK^[jpuSIUqRL]IkyeyayamV`mF>_TxmYxKyBMHEgfLqivmib[V^GCBurt]IwyEyAyAYhIqIEMy=YFI_I\\SRIMiPYgnGfBGEWiiauHeOu=QVCkv]YhhifWWeXyxfuypExQYbxue\\UEFAHQQeUsTyMxkSwSQs<EIfku;QuqqiMaxH]gyAtLuSIug\\itWirDYV;;iEaf<]fVYDMOXTcDbutvcDrkHWuR^]u:KwBWtZCXZCsN[XrWcRiIWiRaItb]DaAiWisPCxiQCNafT[gBUy;Mt`CFVAEnUURQTouGqAXBAx@sFFGvuouS=IQYw]EhpktLQs<CB]sG=QtfUTREEnsR`aEQQvx]IJMHp?r;GFuierQcPaWBirwWhOay^eX`qt_mIT?W`ODU_Y`SgS;EOkXWsEyes;WTFeSKQdXcfhaBDUCLerliI;sUjqXZ?x\\Qv\\QytQYv]YvIxAygyoyt=voufIWIH=BBGb<IGuGFhiwMyfIcwXeINYF@ycYsUJ=TJauVay^YdIHrIlYJmTPmROLSVhS;<Oq\\WRAr>qkLMrPAL``lyxkfUR^ilHEvRIOj\\QNqJb\\KHUJM`slIR:pmxQtLPxRHP]=SvDLdulkaVx>cgfknQtep]<FxgxpXQimisqFhxOvCx^L?waG]vorWHgAx^GIrbPlpphAAm_Vrh@aR>m@OvJpytoxC`c?gvoFgkNptVaxw_ko=SyRWNsTJE@PgDNiMxAeuAqLomUbTNT<lGLNYtVWUOblOMyqduSu]WqYyP=XUluY`RSquWHk>aUpuxBTptPRClqipouhtT=sDYQRmj<awpmV_QPwLtYyti`moAsH]vfYRgqlZYoCuOpEtGTmqLjPTPOTXYUQOTkYMxdPnCPSFmxTYw_iWmaR>ESy@ODmxour@@q^AV?\\jCiujYPSDU:eXFxnPiU>]nOtYu\\n[POOLXLptEAwD`UxTlYDu[UpTdMGEJiLjrQTluJduVZ<Lr\\K`qRsMPj<TpYqhES^HrCEtA=xkMSMuX>TrtAqNPmj]y?XpFTkpEkSWkSq\\mIyMpsKNoPfkqXppq`PIuc>qFXgUfhcYtlNjPqlPfbIQxbFZ?YlIn`Y_eTorF`jg>yu>duvj>O`?Gh<i]i`x[NxvF^SadWgeG^mWHmSH[hiq]wrH>^W?b^OhMGZQwrCFjc?ZqOqQPnpx]@AtMQuTQeOgd?xqbHfqqwWaZQHcrNlcXkFQwb@l\\a^HN]n>[Yg`pn`LYjJakpqxpOp>FnLhgUqp[@]NAZVAeR?eBGt[F_mQfqfg>`jKN_avoHOxyI^ka^kQqvXkvHyyVo<Ybo>dFOyPplP>bpIymyvmFl_Hh`asS`dgI`XNm<inIayl@p>og@osnfhNIw_iq?`_p@y\\xp[_aspywihpqxoqxPinuntjpjtn\\FA^OOl?YffvqAApTHf_qmLokTighOgmGwEVn=igkFw`qvhakdVvvGgIhsR@dlHlYPls@auG^WVyV`vnHfr`[eYhMqi<@s`f[jfZVi\\XNxK_bXP`Ovk@otD@qghjGnl=Q]vQooyiQayyX`yAxBHsO>h_AnoIqNpxN@c@wfqPqIGo>vf`o^gGhPVp=ys\\ofvnow`xlwr<xbShtDHipIcQhemGtqQ[`nc]GmsqaUOey`\\MPtD>eFghGiwcWraOdsWqkOb@hwyhygyg^G\\A^vwOycynyhygu>IsCgt]QvvGYmqwyhyF]R^TqnQtEuKiET`PsihqpQUNUUQuTqaumusW]XKiRl\\uuLw^TyHywyuyu]UsqwqwxfYpIqZ:wZnvgdOg\\@mIps<apl^[RwyMymxadd>ZLa]`a\\q^vyIckxvK?b`WiKHs:?ggGm^hdqFtFokcad=ffDhnU?nE_evGx?qsZNlRFp>@nWXaqooWWqPO]dp_u`wlNtC?_vWaSprjoceNt>vxagsThlYxmIfhbAviyg\\F\\Dfjjw\\NHZTg\\CwwwootXlAGuuY]d@xE@e`hfSppHY^WVfBXr`_hmPqD>]RHioWkioyDqkj@uCOisOjSVqkfkSH]pap\\yg<?uUWienuFn\\JGe`HrFi_tqhiVx>hx`^lnQe_Pama[qqxDh^\\gspOZoa`eXaKoqG?][YxO`cvac=_qVY_wG_Ual_`jTawgG`P@wnPkGnfvgbWNacvpYyiSHnyxgtwmoIu=ayPWiyPusoxPnkNYs?hwYgoage`VsJqqLXiLaZ_?bEhgn@p`gekAbjWudhkP`gQWeKyl>hu_G`mxp<yfrGqTOkpvtSI[viufpwlFmOholIuX?oN^ZS?^^`v[QydWwWw[mAmtH[wI^UQsmA`waZwxk\\XiPIpTAqW@k^vl[N^bXpahegH`WYo>IxNhdPgatYaWwo[_ikOjuvk?_rxw^Di\\]Ok_^tngujVwhi[qGwRp^iIca?iy>iEhbpWjOiZ=Gm:xeTXwD`wLIbnvg[AohWa<ajTqp@>ylXfU_`VIr_okgwf>VkSGi?pmOhckwrVOc]OlbxlPojCYu^anMpcTopfG]:WxPioUG[RWZYOdZYhV`oVGqlN\\C@dNAvKYnAW\\lgaN_\\lpv`qfN?aZ?r:>np_iVapcWdawfaFexHhufwsgeoPgO>bdnc@x[YncHO`HatC`ZlH[NXZ>VdL_\\vF\\Qy[=hfCip@Ng=`kJp^wVebXsnHeEonqg^mhqnym[voQOZkiwgiwNQuHpkHxdXGi?pl`H[BXttYpFG]=pxvWvUvubitexdsGisFgx>wN`uWYce_n^H[ZPoqnurWj<XfXNwqGrgFisGigf_g>rqQtKyyrW[CvcVPc_Yqs`hZvdUXmrhoPqtPxl<ygjod_@oPhgcpbX?tiy]LOdJ>fxxc\\vmfWusXns>pqN\\EprwPmhXg]qx`i[UN`vvdCfgi_usqd^GayIb=hcriql^kDvqQya\\`oLyvkihTioeptipy>wyBGdOp^YvmTgvKamxhqtw[KYyj@i\\Gyhhlk@enXpZwk[?eU`wFvohIoJybO_voAwi`lQ`fOqtkPiXA_MQfdqyuNgwN_E?uiFmUw`?NupqwbOxbOusFjkiilYo\\`_p`v=ifYnfNYf`^boqkrHlRf]ifwWYpd`tQ_[naqshi=qtWVuYy_Tq\\ChbD^cixbMyZpvxXn`^?e@VsWqquwvUPsl@g\\nlJigbH`?Gp<wmYy`^`kAxwUQffAuvhhmqgwhc_IcDQeKqk[gmGVfAvmbP`upogwtyVqXIre^hlocS?_RNaXAyUX[VietQf?NomymW`uCPwrQjFV\\VHkAar_vi?wsPxkmNh]`a^fdhqoW^w=h`kQkD@jIOcMiiUywonvhVjVvfMAcCoja>lQO\\TF`oFvZIuOnv\\IhKQvxYqqXbTAup_iiwy[iv]vbj@f`VlkNl?x_`H^RAnU`c`fmBOrJ?rBFmZ`hPaoSWoQwo@>hyOwcxnx_y]y]=>aLNy^PfixqxQaHO`mV`aqsWXa_OsN^t:ogMxZgxqn`pN>dcQjEn_RwqxgyioimYmYxyvyvwYyqyq^QL;VqMcoObd?BpUEUSEeOgdoSvCx>MxiEw@wUCSi=?s]ir;OwHsvwMSKID^Kt_siTkhyGVXmgISI;cIgaHOoSo;wu[tOKWO;hrUUUUEweRbgiUAVxqyqyiiiGbQvEwG@uBckCw_c^GSCoVc?XSEUSqcWSIHcCREYMExb=Rv]cyMy]iXuAbyWyEKROET\\_sJIeTkhGgIgccyCGW=rnaTxWf@uEE[VVoWqIsPMhXaxwwxacVSUYCQYSER=Us^_WPEcdmhRuEwuIuIXPScm_UkYDn[vmcumEfwkG:aye]wgyYmsdySeyQEE[BSwiGwhZUYCivdISaCGwUivEdiiLFhXnHpVAmB`[BHcsvppxhhoe?A[_PwwarTxl:y\\kYf;xctahD?da^]aibVAk>HsfQuGpd=iqxhcFgtlXjtOjUpxMv_?yew_q`Y^;ydw^_XV]lXi:afwhqFqw;pugv[w_yThpfixVidLQsloeravfVq:qf[hdTqnYvfxF[?Ojuws=Pwl@m\\IaAhc>A_v^of@yuxxwolmhmsgiF>rWwdyPq@aw[wxGIfCx[FihqwrXWf[`sUVZaxbZ`vbF^;Is?hgxFrw^unv_sPtup\\qwlVOy\\IslPqTYmbfok_`LIrphg_IZRhi;vhZ_edqcCnlJ__I`kcAodfwYnibYuspkiN`ene?Gkay\\QVpvai;^bffuGiZJpuPFoNo]MOyB>kC>pE>ZG>pBGoCGjZy^IomFnf<^mDxoPx_YouNat>>`D>bC^yga`Gx]N@jBId@fpG>]j>jFnreqtgXnB``NVhF>vOpp_PZJVZ_YdrvZdXdhq\\]V\\uFfbqckXiAYsm>dd^ZBx[?^iKwqnoj[hgchuJoyLinEG_@N]sNsMwebvgeAqkWvBfsMqqUOhbGZVvijIrAVpmXpSO_NN`gPb:voQqtPqoRGp\\WwPioIyayaiwgiwaqsWxlWhmwnIwmHQduXfk>jb`ZDxZsY^OwdQctitiOXlMXHtoEDQdAnSilOhllQnVYTu]uS<pVlxddkkAxvaK:<UOMTsmv:hUo@jBLuRTpGpxRqYTiUnlMm=qFPOFIMEqTCmVStJpuvH<wTplFTNCyUFtkh\\w\\]yLLSkyt>=QoDm:dvpUYAUmjljSOqTIqG_cQ>`wFwgOnhYdx>nT_jGofS^sMHrkNqr@w_idu?qeXq\\Ng`hbXnnA^bbxrrVkq_buPdCflf^]KAiNPycf]<QdTh[y?oQHiJqw:VxjQoji\\daruXfkyxAYrYvglikC_uwpdoQ`IIxByuVo\\iQtK?fROcd>eu``UPa\\FjRIcxF^hf[X>uvQdbxbQW^HWg<HeZYg?FmSaa\\HldaunncXagh^\\EwilAa`Hlj`\\kvkR@bdn^JxkIO]Fgj:_oWxcjPutx[iAy?Is@wlIGfWolhWuxhqwOouovairNn\\qhtFG\\dFuLnsgIcBAnrNfi>qni^a>fZNhNF^>FcXFv]pbGPqcqnUpgrHv@huuxhYghOidevdh`sEYs=^l>nkvvvVXhB>tQgdOGdjor=yZ`G^inhNV_hn_`VawyoygyeYeigqO`iYIda>tmflV>aj?nnqpavoLnllpk]Hcb`jXXcG`gb?gZXl=OxIwZ@w^MqaNVZZoGAcfuWiuIgahMaVWOho?FNkbtCb@AvcAY>kSTUUUEgkSfAucPGRXCUduTeKsF_EsKdl?Tg[Ur?DOqGUmhfQeeTx[yjYLJlXt\\eJcxJrtRm<sgtJOETfxx=apYmrXxn^mkc]kTiW_uYrmsVlXqUm<Uob`vDPneLYbTNNyno=OYdtrUjhHoSHlXHQ;AT;xor<vG\\tnexxPNVluWuVqmr\\uwrUjrHWBurZ`M_@QAHuwLqlpn>xJnmr]xwRYYRHVFEWg`sH\\VN`Vseqx@RXhoG<WEQwgpTZIKudLwxjIyQguWGAxvQoJmRCPVAmnqlKd]wfux?MUu@nsEwsHmXuMEqsiQVxpTuhWuxPFIxvxt=ap>tRWIP;dywPRLQjaMJNUM?=T`lROil`Uy=XJnIjOdqtuRSuTyppxYRqawn\\WuDvIdp_LVMLmEMyO`L>TR[\\xkxTemuCIkxTOTUqf@YnPQ`itodWRuT?mMEAKkTq^LwUtlbPwBhRUhQ`UqKtMTTo<UyE`WxTMA@pfXxUQxP]R\\ENIxTo\\yXdSeDk_UwFeKdDM_pVCAQ]`SgUTMlYu<MnIM\\mJ_=tTUoPHpILTVtWSXTWMXcAmZpuOIjF`SPiRbuU_eog\\kvuPWiUcpOs<sF=MTpnAio>xUoiNgDSTPuCHu\\<Mq]tF`vQlxedOiIRtPnQYmDXOcQTTPTqhuS`LX]kZPOZlNHmXgQu?=vL<xN<KlHocHoZ@n:<oqIlAmM;lKxylkUrBqOHxnFemtdlJYPj`oFIpGPQc<UG<vlIuaumgdpBpWjmT`DW<Uub<m]Qn?Uk`asSXJo<vjtk`trXLX;yr]HnD`tOit[av<YKi\\mldVD<vuDnp]p;Pt;QP[Yw<LnmEMJlj<pq]pPnuUTqvchT^ISIaM[iVZXxJqULQuTQuQtUvExVYXIinDIt_]yOXUKEtLDqCixYmy@]LNuvrmm_@mK\\uT`m<ulsIYsyuHlmh=PEuVGIK`mJSuOUHuSPMY`K=XPeMsAelnMusILPTQ=hjnmnF=OTdl=QPw`OTYqdxsfTW\\hrfXLgiUkmVFdOfiMZmYiprayYxPlmlWNAuvlT>xW]\\os\\r<dTwLolIUHPrNAlLHxOpU]ePhalmxP<Qn@TslIPIAJo=JYASDQm=Pm:mjvdjstKJDrsLWvlrmPNcMrYmrnpqWHPStxpqMJmokdoiPUgIVX]YmlfKIr:nmeWmFy]]GkTpeOfbfveMnsdVZmWgDqrP`\\UinbwiHvuMWoH^oR>mg@nwqudqmwx_np^[xnKnrQ_]lGeIAZmIg\\FpNwiPGmy>`e_\\egxmQyu@tEPmXWnm^l:xkSit?fqiNsU`gjV^AWs[GorImAy[s@rWini^lNnb;^apirkwht>Z`pomhip?tF@bEPlDHvTIpAhotwsFhrnvoAgaJwmx>`pxpEGgAGsv?idff:>^uGayYouIaeVxePqCQ\\VouRI[pqyTIZKa^vvgN_isYf`^vF`];Q`LH^IhidH^``[ixbIOjnNxC`hgnwcAb:Xm^yjG?iNpx_Ov]irQvevWxGy`]Y_ZhtoXgQqmlOsc>rix_w`xL>jiWf]W^D>vDFvTYrah:SfMWdFIYaieqAy]yc]Yv_wdXMYyiyqyDOcDw?x<YCqmec_ETYD:;BB;RLCTJctsuFJuWyoYwQWdMWZwFJkCpMGL[BEGX<wfF_EsKXkQv?Ail_WSQHaWGvIb>mVu]XAYFbixQyUYwIymI?]evCx>YDkiGj[xostVUhquwXMw]CfjMxhusIysAiDb;Er?ca?dmmC;IXtYS]_vnKwMAtkCdrIwOyTYeexcYtkBpUupgWb_mGmkmaqv`qHpkHLXtLRauKYPP?mo`=sn@Pc]mWdj:dN?xOpmRjun>XjDtmM@rBQkGaSvisIdVwURstLJlPAXQM@mWLQYUtjiRw@OSysUhKRaUVdMCaSmDNFLsPHnbARrqpP<TRypOHj\\IJ\\eM=@QRUKYXOOHY?dQnPsMHujmyELUx\\yVplLaryhwFDoxlX?xvFuKMYP?=Oh@Qq`omxKfhMePUQeuVhp:hLoHXuQQRMV<<sVemfxkrUn_UNmiPktkHaS=tQsuO_<tQEwsMmtDkE@wpaMnunoTQp<Q]tX<PPH]XH]SgDT?MjseSMhx`UNvLMudkGtviHnByjTIMILXIQM?hVcHyyinWmrUeL]qsTUucEnehLw\\pa`vHtRglYKmQFQjJMOldrTXoTlpSpoV=w[`ncHUrmmSLnKlvv\\Qd<TgxuHuVHmw<tXQpko]nYDLHxX>@sGprWAlwDmXuku<PhngxP`F?cDV[<q:wc@EuuSstSuUGG^Kby;d?QyIksbITh[d=mv`EVBuY?sSZoXCkc;_UcuSaEV[EFJOFJmFxOYpIuaUSEUSuuxhiuTQuDmTdIKF=JXdnFxMAxSIhShmM>@vyuyuyu=Ly=dQydxNYTyeyeyU;<kQdOT]pmuvH=RRYsitqvaomps\\@rclsRIO^eYa@TOHmSHmMtNH]UqpWWUSEUKTIwnEUs<o<MNm\\Y]IRaymymQTtkTLkEXkEMSD=sUmvXYYiiRGalLHSxDlVxtcUXddWOiNI@NN=uPqt@Pr^ymMiOuQlvtroIP]mrNeTOeWRAp;PsJXjudWEeKELn^Uo^eoy\\ke`KguQJPYKMYAXjv\\PqPps\\matVKmn>iS=UtvlU?YO<Aq^tYcmnaPTcDyRxQcUvlhrqQOG]Q[Xk``t:TURMqOlWGTvo<YLpqeIX]lwCeKj\\Xx`jX@xblMKtkKxQQ<TrLMKey;Lo=qw^EvoipUDUOUPEAXfLSdiJaPO=tPaaphUpTTTxlwtYSexL?qjHXMemmRLtl<QD`L`ALWEn>uqPMRk\\p^XtttXEurV\\SwXSphVT`v_QKGqK]=nepKOmrDMMpaOLtx`tufMomlqHPmVpl\\YMMQPOuSdiQL\\yxAQFQmaQmQ`UtQV?LOYqvGiW<LOGqQO=UIerHULXDME=oL`XsDMBiqn`WZayaAkW]vbemtPtSHoR]OTDkb`KATSR<Q<Qk<XN<<kiQmUYtW^iYO\\MNvGasB?yj?oppnD@rlNohHyRpvm^yFXunO`RQnuyZdXuR@lXVota[]wnVPftWZkgaJhfm`]howlQvJa_In[LVipP]AIvH@hT@[pvbTH\\<pj>V\\;x_eWgeGw]yoxgxehjEv\\<Nfxivivi[V`m>hp`sMybxouHWxm`ujQcJ^e@Wj;naXN`^?[[_uaqmuo[rAyxXyhYnB@l=nZF>k?QfrHd]IxfAilqaVXnRnm<?gX`qXycrFv>pj@pZVQZFfyoxowgc@FmKptqGwEPbuNcKW`TF[OGjn>\\nOwtXwhXmoVgPVcSYpuhnXGfc@rmatWNkIHkiGoI`ZkIsFv_AwsS^o@^b;wuKAcSb>uGjAFnwEqWTw;iHOIKAESgTwAR\\mcnKTAYrv[xBWVyCYAMbGYrqmVtEbOIIfstl_hZmBYIwcIs^myfmDZMWBgBDKHSwDASs\\iFDCEy;U:sE=oE`yxjsYl]FO_T>yDG]rlEvUGUSshBybrWfFksmiXimDE[VkQIOmirQrDEeW=rG=uvKxsOe;aTI=cSOEUYViQYwoyoGGKIuqqTwIe_MWvKwPUi@QrXwdQyyloHtyrU[hieiiwsuiDuoxeUWAIx?WBukhjabTYegwrieuwybyGeESV;AWfSIdivxgIVCieQcT;Vs;WbOswYUvATs[Y\\GS\\eeZsRqaDjcHBWB=;vMkHsEV[us@yTvuDhweoQTReLV=ONMpNPvZTsqYospUPhkPqvlYQRxJ:yUFTWCPTXmnN=xkIsZEmFxMFEO:IvaMVn=qHTlp@yPiJhqOWTuN\\K`yvaYR`MuPDxR@sHiPe=U<iJRmOoUP_iNQaV>qTidVuQx_`uHYn`doey^wO\\myZforNvdoXaxHoZ@n:>rqorFH]:qq:QpuxhiqZnaempfG>bdAkKV^DQsDAZXgfjQh`A[a@_[_`S@xCAoF?_yV@aR?GIs[uQqXeqtgWwPig=IIsCeVoYtIwLIW>shfiuuwdJOI?sV>EEnGBgCesSX`eXoeHjqWpmXpaysYxUMUT=gG[deEc__Im]VNKEZoUZoXD?eHmDnqYwQyssXMQD^uIF=VVKte;CFUvK[bvgV\\iTl[eEei<_ipyuwuxW=wOcIt]x:YR;osCcsM=ttMbxAFV?T[uX`gYSAbZOEDACksWjuuXIUywc_]VI_ExKHeSbiCB_My=Ur<WBtixdoDZIICECEacl?IgCDbqguqrQ;ShAUu_XFWBlcUkyBSmR;eY=qwLcIXcc@qHwkx^uc<OXPgde[BNse:IB;CuVAfZsr=CWCiCKKmsTKy<QsHlDhLPes]ExilXNiwvYv=iQ]qNqaqnqv`aLQ]xs@v<w`an_jiq@gjC?bCvesOkcqojv`JXitY\\JWiGgcG>jlYkinqB^xswvWxhhvex`mlN[wWwUwuT@akOnn`Z=npLhtSO]Rhfjvb<PoNpqN@ZwnappppPZExuxWygYhaqs_vitOh>vnZY`nw\\?Oe>YhCyc@Onj_dlwuwwxWWhGi`UypiwZpwmlffDiuqwuwfhdadD@Zmx[af^L^\\oG`LFkVAh=i[evdh`^=oiXoeXAv;YjW@cWo_T^]dn`Hf^Rg^Jy[oVjDHn[?oJOgTNt:vccGnj>grotHh]unssvvV^`fHocH_Y_ZQgngxpLGf:ybliiqGwRf`j?`[ad=iaiyxkwqLfo^@^N?yBHauYnjQquQ]Q_xjqZ`afWHdM>wgy\\kItwNnFI[dgc_occqsrWydigY`gGhhHn_fVqb>`oxlTG\\j`yFafKnsugecYw<vhQ`e<Fm@PZ;Oty_fZHiIVdrqt>iquphl`uvvhZ_EDMkUoKDnVpdGVqqGlNPwDvp^alI_f?^iWHungttXvX@sm>]BXd@hdsgvOxdBfdQwdQWc>Ic@vglGk;Ia[>iS^h?`qD?[oXZfQZoqmqouswmvOxCaqsWxbqelayxGw_xllWhmGss`mCvfO^tPQtLQjd@_OOoFhrH^wxFilavDQsD?Zq_iopiwQyYxyvyv_iv_Y^Aok^xfKqsKOjNYmpbxQyQyix[xJYRNatKSF@]IjAr=cf_gffcDjmRpmxjkDq]hJsC?OBZciLIg?_dnadVwwSMs@si\\erDwXXIYaggggCTKrcwfXOuawSY[HCSVBUI_eVROEcWHJgFXiefuU\\KcTCXyowg?TDMr_EtcIdP_CiwgDuvkCV\\kVn;fkerLacSkX:qs^Ee=ixxOW_OtmktOyGREtQewgIuQkRWiCnqv<sXQ_UDMSRChkmfYuitgHEUh]ig;eScyDHSh@qVw_bU]uGEhEqR]goVUluIx[HsCxQ\\dWu@ychqpXvaukp=xJPVi`qtMSAUOQXNdTuJYXrEyNHW:`NfLMm`rxeo:@Kh`o^dohqs>hqHas:lO_xoDxndxVVHX@DjT=j`=NW=nI=rYQlLPL`\\SlQP>dkMITXtvLIY@HkVymfdVeurQ=rGYLalS><Xa@tn<RhHmSHm]mrFHVctoO<vZMkXASD<J;EYTIvDXkWdMW<Oyeyoytqx`YWqpg_D^_SOp^ijQnebggggwKYnAFq;AvshxoixUn`f?ej@f;U[QRLmH:kwaasSWRIKdwWf@Ms@sEN?fH=d]_IOwYwixQYXlMXZwhZqRngCRcEW[FmIINKdUqWugCTcJ=<Xy]ykyrKaWdqQ?`o[tgC_ya^]J`eNqiFVlRgbCovfvt_nuHac>@rSwrtqctFlG`aaVvFv_mqvUaaP_cNWfCV_;QfXfcQY[GooVnsLqnWXnXpfr?d?Pefgvjww=Gp`Iw_Oe<Q`SPwhXet@rWi^Q@i<atbxmuWe@gg=qdNo\\cQw^WoPOp;iiVIlkGou^nIpbqhoxAnAQvQImgw^fW]<ifjIk]GuZIn<oaSQlYIqZayrh^SNfvQsevo>NZ`Td;b`iEq]uk;WJAFPOSOaF[sgm;U[WteeViquw_hSaTXEEv;Q:=XZdUTQysUygyp]yO[TYDpw<<TedmI]V>MMNlJRusDQs<EvSTP`=JwyyQyYwyt]ukwljiuwxXyh=re]paMr>HK?eR?=WayrYtYF<JGmQbAOjdXdatUxWxHm\\yTLXuw`XgulxPQAPMA`wfaWbPKnxpoUwPiomxVIqjP=jHXv;emWhmWeUWMTG<JRujpLjmYpHQQearMtS>UmcYUdmP_xo\\mKeqQw]XkXyQhw?AV\\\\MGtUSMtCAkhEP]LM]ENYtk;UnE\\YiMmJUROunc]SKem@pXOeXsToE\\uWMXC=u=\\YxuQUdPfhqpMllqtE=TbYk\\XYSqtI]QptKm@lZYy`Im`LNppXD@lZDN`iXAaOWHSKDjAAOYppwxkAHm\\\\p<pLCHyQpOMQwQqvTEX`xJSPnAxRGXV_hLWpn`MWVis:tpcljc@xV<vpTl;tsLpYYPqELwMqmbLpumR@mrwuxWyxAyQxIlhlLPlL<\\ME]nhwrCFrM^aG`b\\^pQV\\_?d=Fr\\O`HWvPPv\\QfVw^ag\\V@vUOoA`ocajbW[DN[:NjKWZJw_SioKW`;yet_]JOxYxyvyfNgxVYhIigXaqSH[Mgy\\hbE@[NXluQ[XfkTnsvVxFYcifqN>cT@`tfZuGlHaayQ`fNyHh]u^fTx^nX\\w@nHQZxXtbFbCFnBvkb?`tgidIoaPlXXjhHnSAgvNmGGwTWeTOelOhl?cA>rCv[QYiRaZLo_Wfdvo_<>hCn`AGtOfgKFlKW\\p>yFV`>FjUvpFo[;ig`XbkdAMVdwF\\qV<Qt<OUPOd=cCNwbdMrG_DGQTMCrecG`ITWivhuDrWi^QD^AgCaXjibdQexcy@Kh_wglawIKGQ?HhAsr_hy?Rl_SMwwFeuwgip?eu=w@ah:ERv[uREY<ICf;vqYXBcvgADHcH@MF[ItVixVYvomeB;eUSc?AByuuuuwwKudKwmIybcWJCRXMHJWTCEEKaEZ]xvWxHYEv;YjEYsEI:MGxQDZwsHqvSUV:kUmUXmudisUH;I=WxvayvMX`CfUCxr[tMmTPmx:YBI;veotPqtdQwd]DZ?Bf[D:ITxkCyuWugwpGimuvxQSJ_W:;dnuTQuDZwyswvXWIumxfIT]oRKEV<Uxl;McxmJqyQYR[<yXeqteyhyXyXRUHs=xMg\\Nw\\R`ll\\@yI`l\\hL_ModPojmSp]XDtVCdQ>PN;yLOdLwlxRYVNlYXLKClQDaLEmOwEkF\\Vfdvm=woQKpAMMtTv\\om\\uOhn@<mAYo[yrq<jvInNIY?@WphprHor]XhhJr=JTiu^]th<XqCkYD?grGmvg;GXYUNmT>ahhSFKmvcuVUyHUYudedLOH@Eg][bfUccCv:OwquRfciC_b=CYqwB>]WeqCKSB];s_acCqUwei^iu_[sfatNmhOECPmcuscOmtj_dBMFm;fhixMQijSdcMTO_tNUXccuC?bfCrM=VYuvQeuvWIVowk[xqORJIRiEB<krYId]sRX[x[OHHUs^IsMgeQICdUIMAcLyUbEDr?Y]icqkUoetO=TL;iqQbBgECWD:yXvSgj?hjWugsBLuHbsYZcST_HcyuSSRDkb=ecasXWCShKWykbsyf`AbwMFYGdB]t^GtikVkyuNOrnEexkYWyrvEU;aGUwFRMSB_uy?v_OGk_SWUTf=wX_GKOe^mgm]dE[uWMXC=TLqHT?D@sfR]H=yveUcoEYYYYwYdouUcyeUwdF=s`Kt?IBoWEFiTtycQ=R@adHAXrSySyfTWUpwdDcWhsi^wBuqsqauKGXcYSc;eoeEbaIuSIU?Tuofc]vsoGqWrlCvPmSS]ebSENWIbmGs_v<sXQ`XF=ljYnE\\xTlQXuKNTPIxQeDpWEkhIsfXuGaOmumgHS[EREEvXpshPuYpt^mNSmljyMJTYU<sTpo>MQmhkRTy^iw;ERITxtYutPuPlR\\uv^mjRprEAYfEQM`vGTy:pKSPuOtPTHmEurHTtM\\RudVM`MH=qkASI\\MdTR[qWVIvlEwm<KMmlDiTa<yapoJ@sFXseQSLXrdMlKQU\\LYUhOfExtdt[Av\\pn=lRtpQBpOjuXC_my^^L^CSrMMTDYdgaRucXhITQGuJuTYmGECgFAc@iXy_hIYin]yKUYUuVWqeFSHF;Y=acRmb`_cSOHWiSNOwLydN?CiWdOguHEDEeWPgFq;EQKhu_vLWCViUlEwRYDZmFmYxR]TSEcHqswoFEwrFOGbsyCoc`wHYeVaiUbgB?MVWseQqCtEeK?FJswLMEMOGRmdQGcrGtXmwccd?UeqQDToy@YU<yVWQgEWWxsWKEs_wdmOf\\adyQyxeTBwiuagoaxQUXamcEurRkXQ?xWMuWivXeTC]DBKTquxeYinIGbCiZcg^cCcaeKKcviDPOSkAc>wEu?ihYToqWfSt`;ibEIRofB_BI]eMixLhrDIRQ`Utlla<WLxVRqmZ=nvMusPqaDqgIS;yLXuKmAwNtmuDQIhOQiu[Ay_xkP]qelVFtl:?rniZ?nwR@qni^_NkfFcPohTqlD?ZWPjDyhE>^]QNiFQ_UZqwLWSAaCSasFSeCsgQQC>;u_wDpkDPcFfmwCut][dCqXhavKIgNegOGEW=BgQiP?tWutB_Xa=UpsIRMr:IthOHV[G\\kcqoucCg_IsWCecuXREbJAgckhQyVbKg_?HEOVPSvJEI=YHcAIBGcBQSSUdVMXcAGMscLgw:;wLaxhSxVCi^QtaAFGqvA?xbuS`QB]YWLOCE=HMsRFgrk=uDsupYfT]yZ]YgUHd?H=sB?]c^kyCuX__VnGb=eVKed?euKkX;WiEmGCkUM;tncTCsb]_GeSkdpMWhrMlxhiOU\\w?xo@QwdAqJXVtHOZtl`qvUmQXEopyLyDWemoaMR\\`LQhx[uLXmnbqUWiSYAwLylP`OEQSBLNqAMDajdMm`XLuXveTRJXQVmOs`v<tXQ^hF?lch>kHmOBVYcwSYa=WZSHSwTKmF@WwOwixqFK]eeMYOAVNAso_TOsRViHAefuSrLMfr;edWUKAiBQB\\Eh>uDeguJef?WWNqF`_BTYDpQx;UbSArxod\\OUTwR_kEaOgcsfekEqAvZwB]MgEyCM<xGxr]aci^]YFjtW^K@[MFiFwx]Y``Oh;njjP`WXc:_cRGmdIrq@qhFtmfuBw[lOlv_pvOa?_fqo`FfgZxgcyovq\\oyhogh;Fo]ywDGbYvivIxDh\\enlfFelpfGQ]Sa^DIl>pZJXoF`hgHfAVh?xabpd:grthkLVcgOk_NhTHyc`^sHxrf`A^mnv`qVtb_]rNiWQm>W^PioEIvj?epOkDhr\\GpnAm@PvZV[q_dVF[k?t:WaqxuBXw@frKww\\yZwWc?iwBvar_soAelQqrPlf@jP>\\gVZAhs\\QxZX_nigl`nLqj=qpwAaffluGqUPcNvjHQ`j?ifwqQHysohd_]\\GhmN]EX`ho[m`g`orGpp>HucWevPnhnpanNCsoKSXkcScXSkdKSSpux:YRRevSgWlYrseetwbDEX^SY;ut?ARJid^AejItmKdWMvQ[s^IV[px[ApgMxVhXp=QwDsoikmEwRpnRMN`Yx^TtQ@Pixor`qVhtDtySTlcqqFeUaqNOukqdpcmRqeOhIwHmpJtykUR_`yiLqD<ymXXgyR_Ev@mQ?\\sRmThEwCTNAEPWYVB\\N`iXs\\ukES:yYXtkA<kputhhUUxPimsCIs;<KXTQp]OEeJ`Erq`JIEOYEO_PSgeWgesEYs=LpVYqquwphWU_cawfaAykYvCYd_Hn[HfIqmw^lO_l:V_d^nUfqXw_J?ad^l[Q]cI_>Po;Pc;VbeWgeGwk?jyhauoxfV_eVnVnblwwcWcEWcb^\\<gdbVjUo\\inev@f;QjanmrOnghoGhnLq]_gf_Gv\\AoKWnJOd`GaoowXglBY]GYaFxwuNguAv=x[JI\\n@`qv`QVjmNf>A[<HtnytSNp@Pg=yeDAxTquXqqdgtd@fj>kpYlh^``_sR^`FqvSVkG_[TNo?pn;G[bG`f>a[X]Kq]NYj`WllYjkP_gf_?ikb_adWbO_lVh\\wwrY_\\]P]VIsvijKn^KhsOYpRPoco]GWdRPvQVxS>iRxclguannnVc>Ami>^Hi_xWclVkWPod?mmnomHnE^uWOhC>oWGl[np=oqFqqO`gkvaOVa[i[uwvhgof`tN>sXgcRPkeQ_MpylhjiwbhaxcneOYwIXmVqkx@ygqsan\\bPc<gdnhodof_IcahlHgmFQb;VcqgwayriF\\ZYZlYilIsavvHimE>^RHlKHpnGwLIZ=nZBwsMNZu`l:AkjN^JWah`wXiquqxUygy_xKyb;f^mXpmxdipeWYoQw_ZHcZ?wiqiqYqlI\\Of\\OVsPh_ev_ivZdisFas>ga>^r_gy>vukgqkHpkyixyvyoysysyotQytMydqwuwwxVHam?Zag^vpb=>wcygvHx@yjYnirvgXaabo[LayFGrYFdRNo?Iwaxmx^irAhZqymvsvVxUxuvq^_H_OphkGucNgCIn<ob<W`S``cOdAwbAfi>w_PqoWWcsqmHNnfVk^>dno[Zniyiyqyy`y`yH^MVadyof`o>pk;P]BGj;ibLWZRqyP_idQZtH[_N[d@[Wx[T^`bpn`pZqqyjyjy^ZBx^_^Z:p]WvrZyn?oZPgtky`sN\\A^lk_ZdGc@?gCAl?VlTXkGIZnHofYo:WpoGxMa^;vhLx`lQeVXfhatx@wioprO[OH`>gfxOpA@xD_c`O]FYwGFkWnyJOwFfcC>t=fbeNfna_:>iEHyGVtJgg[W_mhdNooRFbX?_CPvcouX>vc@gs^ZnP_DAu\\`[?GqKam=HniYqL`[xirUIod^pHVvm_k`hvR^dDh\\px_<octp_\\Pq:iu_XfUvnkhik?tZFeu_dpQnqFeKal>__vHgMqrMN`=__I?eX@RSs`?f\\kG_whW=se?XCoW_KDVqwxIsacUVaFCirHsDHeitUxb;dhwtEIxG]BRErkKgdOgjmCB;CBYibEt\\;BqueIyFKcgnGH]_F[crgYuqwixQqyAxAxQJlt>LS@<t>IYJ=lfxM_txfIuMIuSIkmMplXYLUMd<s`pSp<Y:<TZHy?XKQlOR=p:@TrlQ@QVktkZtNpdr?]typYwQyelorPJTXjfQJXpQd]tbPr<QRZHvGXMqLJhTJwYRQ@UoPWOQkOTOtuxhiYTIWaHRc@l@YYlpqyYsJtw?eR?=RgaLKpJGAuoXWQqjGTM@ukXdSk<OCYR`XmOtmFXwR<oYhyfyVNyLL=YdQwdAjrYqcIKSEUSewgiwnlj?dJ?<WpHOBtTjYRJPo:HnXuNBtP@PR[HwMynY`XLISn<mhMVcxOR`S[QU\\YtRtmIHoYhMDPndUmvMMbaQqDQYImdMMphv=`n?`UpAWXDyMdNFTreQjCuLrXa_Fo;WhmhkDY`xWp:PvgHwCaasa_XQssAkgglNy`j@qc_^g_gFAcRNqUPaofqcFnTqb\\X^ZicRqfCH\\aGdEh_tGhJquoa[Qh_pXhJIkOw^FfktYj[AefvlvHgWinpYvL@siQZZygRAp[?Zo@bw@J;YB;tdmV`mF[;SS;SKMvW]eqawSYDBWdvyV:KFYKYbIFZMSVuBrkBJsR_[vGgSXquEudhcb\\=RRyDJ[edIrw_B\\IX??xnqhgUu^UrByv>;rNsc][tHOCkMbTwUsevOWIiaiM;gW_iG=XH;sH[tUUTMUjZhQJeLp`WSQx^YlImuyuywAw?<LvapcUtZPLV]XKiRlpYauUHTRGdKG<TC<j[HTg<VqUUUwoygyeyowpxTGeSGmfxj_`_qaxKPeUQtLQj@af^_fZqel_Z\\XwRFZngktijx@t:Qv^osVHamvfHajl`ji@tiN]y_l>w`iVqfQ`NOjTA`jxhWihQy]yAyA_kpIeagm?PgkgZI@jlVbhAbYOfl_ruvuy>lOXtNomlNdkFgEBKScmeTByHuAr?yBxsrbEHTQSXiFVksW;fHQT>ii<qwh?UH_IMIsJOHxmdlkXueI[UeyEw;[HQeTFMXFexrwtAOycCedctYSv<mt\\Ex>SxrUBVSweGCK;D\\ks]_Ha[XvsI_MTqcEw?fxKcP?Tf=yNqcCCT<YFDuweyg`owUmTjCWm;bbaf`kR:ehwmcT;uxOIS]S<KUU=EdiWkug\\QUViUlEwbEEIas^QuqMrUgdGaiSkVfGSmCre]XWYBZoGpAGlStAaHqKcBMyMofT]IZ;GIwU@ABHKIu;UMqsbGuhyTsgTb]r>GcfOgIsdcMVmYb?iE\\iUZqYvKDJaFZ_FRoRcEWcIEa]ekaxMyS=sEYYXIiI=sBH[enCWL_xhudVkbv;hUWeUGBauEy]yk]Y>;Bwqsqmi=[tHmUn[buIW=iVXmUX;dh;DaQuoWWUSEUCBpEXW?buWtMebhKRG;Ul_VC;brCy;?dHARBqenWC\\[YvyrykykqvUwW<;h<esrCv>WDHaImas;SB@;hNqdG]uL<tZHR=PyoYwAppKuP;\\uKIRZHv^LyM]LvLR`tWt\\L<xrM=KrXnK`v=uqheuttVnISaMqPEUaLMpUrGtPJXjGpNBdUZ@XqLL;Ync@JVapkhLrYqQuoXUnAukpAQrTPhXnp<ONuoxPydlQh`UsPxdYoiprZMRQ@YuiwqxRF@MKYnAuKdtyitpRQqn]nBapFAU\\lMnIYFUm=\\Yi<PuTk=Mot]w^<xp`KmlVAeQXtO^APH<vsekuQNdmPydL?]WkxyBil:yUNHRMiNQpk_MTLujDaYTMNu<rlXYoDmS`ndUYQeo\\UwQIUvUXvXw[TXv=l_PWXAN^XRpPv_AowEuUaSiUskYX>arlXSllqlmNeTwKIsGURdPljdqpXsYqkMMJp]N^EKnDKJ\\SJ`XiquwxWwhxPDq\\USQEMDHl<<kCPP:]vumxfIWcEW[MrwdMbDmdUNvpk<LP<PKhEJDhy_yOyEyRYVIHvV`qb=KhYsBTP>\\V;lkeUWeEUDYn@IqoYlTHR?qmwmxSijEtL\\qxB]NLETKEXiiqqQSNqSX=ylXWb]voxtXUQamsVpqwUy\\IU:XyUqpgUjTMvnuSqMrhYjLxsaYoeXo=uME\\RXPPdUrmtsvTjt=SAAnF_^HxbC_p;`]wY;QRt]BoadVkVb]Vjyd@OehiFQWECOu_]eSKyP;Ew]tbGTmoVGQyhyXyWSPgXbmTRKTvqX^iyisXtqYcIGSCv>OvPEdrSfEmsVIDNcuDeDk;hbKvECvmsGy[DloEukgUISimW?Ix:kFFWvlAXxkI_[R?UCfuGy;gFMh`as:wFYActUvWGf>]b_KfD]tDQHf_uHSRGOHoKVegUpwrlaD_;UH]F;QwT[wPqRUav[[VNUccETmGrZeGFYeJ]yCcdSKvjYx=qt>IflYbh?hRsIN?Cy;U:sr;;XNeSHGC?Ies;XFceC;IbWSCIFnAc=UXRMWn_HpOurObGif]MeF?YVWEc_GkQhTqdA[ywsFIywOSIf]cRyBiuG`UgXyH>QHVsHiOiSISLyY<=eLgcmgwUuykAs=aGVqbEGX=QV;_SP]U<WskEhbYsr=Isst\\uXVODsqVJGsP;rw=yjIvF]WT_Un?WKkylsRDUF<CgNct^giwgyhWihQFIqdsWXaqeymysAbd_VHmFrGSJ=uiyxQpoXlPf=MhxXn]XnUpdUs:QwrYS;aVplWVAkLXjAtKHqsHqrw`LnljvYvS@puxWTapcQvExOXAp[URIpMw<t`gqqqurIx]IxONu]Vo\\Vgw>kvgsiaqmqcnflvVeJIbbV]NnvLhnpHjtFlqIj>xnMqgQqr@qb:VgZGhnWx]ykynb_NhA__Og^uwjpvgSQp?VnAXedV_eVxmYx_G`L?lbamZnaKVuynh^`xJOni@sSpqb@obqlUog;AdQ`lN@n[ac?^`:>ZZRLCTJctQ[DRgvEyd]GE^Ab^qs^yGF_SEgWWQWyaxawGvexeuYygwaSsp[W^qG[uef]WWeitGV?QsWYeqshAWrfWFFqUsyVmicy[UjYbY[ywyEIqwgEWeur^AxemIWiURaX;WiEmGCMv[EE:yv?=iRoGEaHwmYpYfUyX@Kcb[GqucpgefCDGKH?Yr=IiTqdgQBo_XAiwxcsNIUP]FLgC>syHQxXUIpSdciVImWsSIomBEkVksYBWU;?iCkR]McuoCm]i\\?D;GDCcxxevesUsovTWWR?hesgVEiL_C:qsJOH>_GCQsE;vB=sO;WrsHqsHJ;CBUio_BhAb]yxVYXIixQyUIWUxUyUyuD]YCeXLWTGcY>oyjOYoQW`[sgyGw_xLcbA]fdOR[?DosCQCxOkg=wtgAukWvTYWigsDQs\\[EFWDcqGIeS_sFlMtnkSwcxNMPIajUhKoQJgUnpMQ]IoEUTqtp;@k\\=oAmuUETKEPumxfQj<PjAlMr=V;Qj?LtHiKoHJIQlkatKQlqyuyumhiRsIn=ujLuMc<Q`XX_DJIXnO\\kh=tyXm=QqVaREpWXXYhIqNdT@LYHIWahm@MS?Mu_HkomnUdSTLk?xtP\\LRdjSQOy\\RJQX?Lw^lk>PWAitN=MmqL=QuEYt:UuPPVl\\MkUNDaTExJeO]`vaOadEwr;a\\vq\\C^]VYoW_e;ydb>j\\opjW_qVf@qqaG_`HfoH`_^gT^gIq[uIky>eygmYYvgxx``y_Isxy[vqrqXiAhi?iv;Y`IQwt@vvgf`asRY<qvLwTgwyxoIeEtUwDvoibacUwYRWi`eRbkuCQvkOFMaGlSVXkVZmgdoVVwRducAmxoUupcWDsrh[uj]x^]TuUcSqbGUrJscA]SeCrbCsoGfk?g@ytO[C?Ah<qHEGepMbAocC=c;SF]_iTShfAhc_XjcfekW@]WX;f`uUPkC?qf=eTLyX?itoIXqEwRsvoMGI;X_UXA_Ti?XauvsIT[[s<IGFoujwHckTWiWBwr=aXJ=YlgCGYvoWF[TWepKvULaqvqqv@hUOHM[LRdqQGpXpDquTTIxU\\felQvJpwbFh;wuyqyqywrXvH>rMOx^qZXf^rAkiplfFe<>wFX_bvaf?ujv^dww@WqpgwdV_eVk>O^[AhrYaYIyHysxoxmPn\\P^vnc@yka@f^yovPxD>lwocHockGhk`[ePrLouUA_@o[na\\XF\\Jg\\TQrGv`VAhRv\\KFwsOjT>nQ_anAt=?bja\\shjpFtDir;vngYrs^_LVqM?bFOuoOmQxlAGndvypypyheogtO_jcIjaHmRoeZvjo_`iIoapm\\^xI^`yIvAx]L?fAY^lYiGwmxfiOQoOgcGgcogho?wQ^h@Pr<Qr=ar[xcMV`>HfZybJGibiZP@c:^g<vbA_qxvmd@[@ixyIuuq[rV_dXpwY`_qxgiqj`_wXk\\NZ\\Wb;gbKfk_NkT`b=he]WcFH`YprRVcdHkRQxcOncN]Mf`KAu\\y\\U_b;G\\]>[DPjZBZ;hu?hwuxpIesyIameuuC]cV=kyCMBEiIygyWieusxFIemsvVGYYyvwusU]cf]W@srKiCS;GWiU;CE@yfuMRwKyvqByERWUrqgraiDj]UqUd]CiOKhpMS@ofPSdesTcaDckewmwGyFXogB=IcOFmKDmOdikilquykVeItb[fcsenqVG]Xv;yueGi[Efqh\\qfK=Ch_EoWDQqYuIdeygy?x^YTG_V<=i;gu?]ITcvfGX=kFSsStYbxesjUVpKWhYFRqXnCFqUY<kVx_C>sdPGbZQBLafX]rLCSMsvo_WvMEWUxcQXcWtykT<uY=iucesRqBs[hIgdcetqiI?[XHUvXWGuMINUXVSeKGUoEwUwC\\[fy]DCYvieBkic\\ExVSFPsHMEwFcFDidXeU\\QRnWICCtKiVGyya?Yaig;gEU[bU;gfeYwAIkKYvgVb=bkIFq[U<Mua=SyetVEuaIvu;bcAx[Yr;Wh;CY;gH;_f]CdBCvowtcMDYEEAGdKeStqxgYu=Us?gb?wBX;Q@mj;LY`=sB=Ry]PBUSq=vc]MMqS`hoghWDalc<j]apMHJPmRuap[DnyuvmWiHhsxOycynwOynIfZQmWFbwn]JAvaAs]vkV@`[OrrIx]YyoYwa^eoWa_WZ@vpKnoe@_]iqrgZ@fh:ger>ZtqyuywIAdqyyvyvyFq;@b?hqTacZ@ZmqrUvg:NvyWxUxuvvwvXxjg\\=VahqoSPZLweuphgnwBF\\\\Gx\\irD?sSYsSylay_ExlOy]qnfbhh@^oof`[y[_Y[WymH?grYsbpkoAmjNvp@`kylDXggigC`kOOqiffE@eNQcUSAiVSqd`wRMqHxAX:wgDku]OEdSSW[hYAXnSUbqSeUiW_cUkhMwVE?XTyG`oetKwesDG[XngXgCwbMR\\uvKIx>AGWAGo[yOOiXmWtYwqcWLSgxcwPix<[XpkWogFfgS]ufTgt=YfcSR^OBcAgXaMnxJ<QqcyX^HPxXW\\uWaeSbMLhQXqUjHAy<IjTAniPUmLl<mv:qwPlRNQLW=ym\\Yxeuayl]Hl`]Nran_tyCAXlEO[yLxDufMtjPLthllMJWIsB]QOxlPDlN@kUMNcUkNholIttemBLX:iQQMX_yqJ]WSds:HN\\PPP@P@HTq<WJPY=eo@hlLQQIip_HS^LvsHJeiyL`mEpPXImqqRfYlqeWadRcewJYv`HPX`KGQu_mLWaUBHnw]ml=YjHOJ=yStVVHJjLsvqnGdKGLs<\\R[UtoYwQYJpPJRPv<YrHTQF<sUEUGxWUmPgMuNuTQuPr=xZMRyiXeqt[HX:@Y`aJGAjO`R\\muvHYr<sIysy\\yjYr;`nkuX<QYVen<el=Lj]qqnpYS\\Pb=LT=gF^bO@eD>^UxcApye@[sN_nXklac_qw;nse@`K`qif[GIa>?]GPuTQeBAZbI[hgqZGr<Floh`DAfxv`YNwuywyxkePeTOeZFpNodPOo^icuhnZI_@^[R>nxp_WOqNYgVvuegZEGmYXcH_]r>mcOc^igSal[fjSh[yAgEYhpOt@^a@NpoN[D^fZojnOsk@hLQcsiix^iDAqCHp^TRGU@[TuUxe_yC;uPigFUi`_dewvd[sQOehUrJQtcSCiCRWue\\WTIetagEqkI^mRf=FyaTpEBRqc]urWaFFEBGACToB^ss>GgUwRHwwuieieeyKWN_wIwsjcyTGWC_HmqgbCUk;En[f=EggaBvqfeKhD?Y<=Y_;E[=w\\cdHgf]EGcUuOosjcXQkd`WdCsRRIcnMHMWs?At>gvbEuWab:wSHOdecUd=wxqi@]ul=rwsTpaX_GeJiFfuBGsxs;VoKibogjsCY?sYSc<Oe[eXDudS;cVqcjYexau:gxhQvmOv_KicKepcB`asCKugIYt]YGMufeseWGvQtFCTSuBsgGcMCygelyfMkW>YbVcYUXJqMNTQxlQxEyOy`MJAl`lvmuvHiNBqLSUSLpkHpkammsmvItYrYJkAwkyrYtkmiQR`ojQO:=U`hSwyryVjBgjPx^Fia>^fvqwuxw\\X]mvfHamrFh\\VnmX\\gWvRP\\?F`k^vD^eH>vxOucwnKiopwjFVuMNrLGndof[fvWFyNAggXoeXcC@\\UG[w`]Vnt^ObbHj=vZlvqfWiuWyGw`WaZnoka@dS@dkoi]qrGx\\V?h;Vyy_rKvbj^h`qgV`_VAg^AsKhdOgdFw]EpmiixK^umPdIXyaWixamgVe=QtPgb<Ieq^ZI@kpG[en^Lhu\\X_dfoVOdT_achrLOn^X_S_w^NcLFpvqohFm]?tLijM>hLIwvwrcNka^iWgu[v`TfkV?lcWc>Gt<ObAy]HN`TAiWOyHPnTN_a`jingcI_yH\\mg_IYuu^jWi^naj[Ws>Go\\Ph:phSyhdosvQp`OwcfsRQlp`dMicAQkEVu<wrMGwbNevfwnQpUvgOYce^`cWqXP\\ggoHO`K?g?QcKagLowDXygVrYfwjwm_XdRIggnn_Nt@O_gWkR_uCghC^yovh>Vdp?tPF[jihWAon`mLGvrYlCFg[A[ZpmpOt`?_R`c?_wNGhln_tVe_HaFOc^X\\<wwphkNwp:whf@oB_hrNmX?vRfjbwZyGe_VqWYw=Q\\^agVYh_wcingbYfWIhC`me`mKPamh_u@fp@gVwphtEYD;?fPWhcmwoArWAXoAwGgCc_TLUs>[xmMcEYW>eXG_sygF<kfAIwgcep_y`mWC]wmOFyGBvyRmUXZMvtOitOhlOhoSWPAVg]sXgIuasmss>ySDuTW=TJ=h\\erD;BM]YW[Hb=D:]FMIdpAdCAGS_SHmevCycwfXOr_sWygypyTyOyOEdGWgBUEkIImmvnsHqSvFAt[WReYweIR@AXXcsLCHMQWVsilWYrShsUx`mbdEbnEfvsRq]xb=UpQG^ifBQUW=GVsSgSIGQXpOCbqsB;eDuuIWv@qr@]X`]wRIhOcDO;BbyWvGx@UTMUD:[XfkD=?w<ugS]dIkIrABQ_cRCH<ce>UFJgbPygYuiUsvEGBfIEfurQYuqWslCSC_u?;bSGtFCdBGcquDhsieqeocBsIdDOsoytxuvnQrlCWmIhcgrsWyXyBTwLTLK@LkDptVeyGYPDLsV`RlDyLYkGuswtyDUYaEYgeS?gyZArJ?cH@uewoyHxbYt`WeA`]=Qn<`qmpcHw]w_s[oq:p]EhnhGqoiuoY]TPxmQnancyNilIx[AjcygeWh`gusQdfhnln]I_\\H^erGy_w\\Q^\\SvsxigXYmmy[Honuhcg`jeibTgv>^s>_]A>eEOaPhg:axwXpjWdZ>dxGsq_kQxykqvvylqfhpwHGdL]IOyShAIr;wQovhShYeYqyEIiNqmRMMV=IXMqktQtcQP>@WEUkmYlYtQKIqc=nFdqTywWYwhhQy@nJtsLTWcQOrirfxQntWbdK?PJaeSipmvdV^HWRHs^Mv?xlupylabwOeooiX?waxpGPrEO]=`twqruw_vI_VauVqgbimOfl_x`vAgJGbX?iYW^hGaZqmeVinGc_XdZn\\@p_f?tGVclhmnH^tVkmijyve^VaWWfrFtlPiggfyIb\\N^W^i>?^a`hiitFv_hGkhqgkQueghWI]i@qNAj=`rNHgkaqj__[gn^Of`F\\KFcCPdLoayo_BGuxV_gyfGQbj?b?IaJNtQxqviv_WsPhhpohxPydYo:GsNowLVb=^Z=vfmAytYwixadAo]@Z`H[jwpUqa[vtSvfVHZrViQieqgyhyhyXa\\Ak]ncsfvN`qv`adfuUYuUyfHamsHgMqn;VZ@^]l?s[>q>GykOt:fes`sDvtRgjC?nbPthIZoXdNFvkNoKypO?qu>ZNNb:FicOgI_nHW`tO[C^o@A`i>qJxx\\ovN_hC>owatMwcwxxXYikOhxaysAlX_q<?s]ykynkI?npYuiwqWV^MItKIffqggFkIi_wp_L`kqV\\dFvtX^lNeqWaM>lWQhG`fLQf_Qsowwwx`sF[kNtyAwqn_OFnlFalIobXxRymlQtCIxpXf?NdE>hxf_nWrY^eu`qpIWIB;?vbQfBER\\yYFCib[WkOWouxYyUvKtGGv<WeSSDpyYgcdJwHC]FFydyyWfUUquRtcxSAs;eRAueb]f^gusWxuyIhStoGx`oVngIwqwGuTSChhCXAySXqsIYEWmeQutWOVLMXEqXfaVVyV:oddmISCc@Ux_StcgdeKuQmgbUihqf[mS\\]tmyso?yn?f_wbD]xvcwXSTd]sgCh\\eVKxmeDS;=SF=y@yMJEmnESkhlpmVIqtUYq@Evr\\qrYlemOq]m<QNMyOjesYqmdyuOItQ_w=xxIhnVAqfQmYypxgjovxOI[@peS?\\Dv^hG`KyvhA_To`XxikP__alTqt`QoJGwqoiJNl;@noig@ae]qh=wwN@ZmWeCIqlxjehs^?eZGv@Q\\kgaDi`M^h_Aj=^rJXj?H]\\Q\\Hg^MPr_isS@hiIqLYkE_axIuAy]qgssg`XVw^_j;Hjui]Zn[U`^;GkIAyVFamPhPP`uaqRxv@V_^_qj?fGiyqyuyPodP[YGjaxuuwwwNnaO^TibEp\\[a[xgrkIpAq]E_oYY`pfbEIysIy]wrHh\\hPrximqou;y^T^fXAtppppxsxVyFvagheuph^AsK`rVAjoQ_<h[;W`H>jRHg:Y^lpvwfarifd^tH?jEqhr_cWg`TPekPf?Qj?V[Pn_V?[vikI_]yXyhYqEolfFynYtIG^v>`UPltx\\xFZGIhXv`?>eAWdrQkKAgggg_?[T^tSAp[WZ?W[BG_Ai]q_mjgsqIm`FgqgsNnZAVvc`gM@mKIoA@aniq:_pNa@cu>ssCutcOD]EG=AWDst?WTQQb[CCySDc]cC?xSoVJUx?gxZ=IL;GdKt\\mw\\EBy[GBkvUKYjCd<_s]Svo?VPUR;uXWQWx]y[ABYEXLsI[OBdGfl=rYwrgQwbMUNsDeEvj=gBAc^Iw;IRoitFEvOyhh_UQaxP?Uq;tmkTD=SE;yoAfEWfoUsCmffaRbSW@uuqogtkEOcUWgu?oi<URMYBt=IfYDC_fBoFrOd_QsCSW;_f]sEiCdWEtggEKAfJYr<uWgewlIy^gvwMU:=y>?UUiEpiboCF]cE[wYvUBjQU^_fpkrCefg?R:me>_DCgT;CYZKV>WBT=Fgef]CDguEFqiRWtrwvDqegCUdECQWH?gC=UhGkeCmDNuDEGHMotgcUPufwmBSUYnQvsOfiEiwCwRcgQaVTYuaMCcIi[QIQchu?HZ?LJXVH@PGpWy`o:iYJaPrQmjPxVpt\\pr_EYGxW`Isg]v:@X<TOHLMq\\WRAPy@SsiXKxmN`NvlvQxT>@X?<mIHl]DXuAO^uv;Dr_<mw<To<LsiLQ]UketOuT;tnXtYvIx:xwFDnRiuWiY^IlAMv:HNKTkEXkc@TQmjnTuPPn\\PNNIxsaY;upZHrYyyxyxyDyCyS:dQ=IvjlOvMwcxnrEyNHOMMQuTQKqNwhUwplqawX\\NDLu@AOAqtgewm=M=Il@\\NDEwHXPn\\Jaqx<lMJHOYpKs\\vJV^O?yD^imHe<Xi:iiTQtj^]^N_ZIhJyp[XbApwqxuxWsPh_uXyhYqeQwdqqwiwiWtVAwIyixYxIxivYfnpbNq]Gpb]FlBPhL>u_Pn@`lugZNfeR^gAfyaOebFlWI]bi\\eFhUgkio^vQnV@aqN`s?r_>hcg_h_ZqNyMWwj_uJ@yffwTnquicYnnbnpsh_LNwBXuc@hX_oshucFoOxdAfc[_nPqNKTZYGHMcDue[CgWUUvWTEegC?eLKWqef]AyT?t^;XQOUvegsUTlgtikdaIydYrp?CeQfwGtckX\\cskiV[csYIgokFMABtQfeCDGEUg=ULmRbKV?YDk;tRuHZiS<ihSGDToEm?hJ_YWEsqyTimC@WRAyFMCcH?YMmeKkDPuRncWtihxAeqcuKKeGKxuoWmgtS]viurOGV=MuJyb<QFL[wbmwRMCcEFZYwLGvbcCs?booWaoiJyikgVo?XfaBdMy>Mu:ybKKt>uejuV]uxd?cX]uLcCQmbdKb:qwPUUbcwbEW=ywnuBwEv>uT?=gRMiG?cfWw:WF]ws[WdgqwrsD`Abumg^QsXWfsecdmWBwx>MuTeIqid[ehoEc=wcj[S=ye=KWwgR\\UTVmGUKiQ=isIynwCYYUnCR]]g\\AhjMIeUynIDc_U@grVEusCRKQhbwe@[cPmB\\AICeIn;RdivQwUh_u\\CWcUhWqXPugXeSoAHjEIGUTJAF:;GhCbR;RVUSVOIsMx^QdLOdWch=UStQeTOeGSEp;f=cSGeS>ohfQDGOWbUx=UyPKYgMxvCxqYWigi@Wu;SRQqtPqtQytEeY^mt@kbbgEY?wXSH\\CGR]CB_cUUxP;bfAWDccFwEykyfYhIqicqfU?uyMs=;yOKTAKE;;iA?S:OerMTVQfsGiSEEJywvET]Af@qTwksLgFE]dmeGuUy?KuYYiDwTl[r:wCUkHfMvboYsEy\\[uaAEjIHEiCCADIGcmusskWMQx<=Sgeb=wCIYsMAHdEWU]TQUWAaEwkhmgfp?gR=t];BgcCYkInAu=Wym]ckKX=ybaMeAeb=uFNghood_id@=X[kDB[Ry[ubAyMkCgAyfwWdcGnOcbEXKoh[grsCvrYRPsGbOWheS=mDoSR?GwruhhwbmCDPcXMIhM?e<uii;XVav=WgeWSuKIVGV=MwyoX\\WhpeebCsMoVd?WPmrWwSEoYoiXacEUKwdab>Ghp?h:ie>eSLIw]ufX[EwaW^KYOCgW_tWcd[WY_wFcgFHCerKFKITHwd`wUwUb`crWCy\\mTOMW]qrIcSpevQcDD_yvMIpUc;Ub@[EmChvCd:iif[i>IvjqiRgVisblMX_uch[XrwHVMSNotC_vViRUwDXAfUgYVcIZ=utut`EtOIED;yL=YUWX:iYiOG@gi?oCkuuWisXwFnuiV_wJWIiQigIgTQuO_YciBqceAWtVOSuiY_Gy]kR=GyaMXj=eSSyKuhs_e[_Sh_WW=bheUVSve;Gb;BPmEl[VB?XgwskmB:]IK?SVUYgih>Ux:=gDQg^UuLuTQuF^WhWUCJ]w:Ib=sIxAy]=fFIymyvY[XJIR:eiGcCGsWwgxP;dhSvyKDSyWqgEVmc@]DvcYrIvAwguowt;BwevlMs<UgXcfnuF\\gBNYUqoWWiFQ_Ul_Ys@yoyVyTySiPQaU=exsLQZirDaR=AQI\\pGHLZHYwLm\\XYelO[`y:<jHXxFUT?AJQ`PALUj@V;lKJysKTN@=XiLvE<wTiLXuTAqu^Pob=xGxPXAr>=vSIX]Ht]xRmIYueQjuTIxkcAMoLWNywXXP:uq\\IwkpoaERq<oT=qpLxytpNijF=kgWhQgc^@\\Q`g<fguFxFQs]qceYouabQ_tCvZk`eMOq`_]oFgJAm=`wv@k^fiWgupGd^?lOPpgwrDvZwwpXyoaijoVaSwjO^ncOtTqbef[xWvtPjLF_NHk^p_gnqDgyTitQgktXvHVySyvq>;]EgcVTGRUqhnsdjOsJiH@wukEXsiGQqTOgdE?Sk]YlItCYDHoC==inIuh=UUcIhCGkGexkw>atNGGs=blqhMyuA[HikHuaXg[USMXUys@=Rtgc;KhayC=exrMIX[H=CbxmvIoyq?F^shq=Fh_ttaCKShTSR@=wNIe?=y=irgiwHEfyCtO_WkYyEoCW_dyCv:UFNkrM=EWgE\\[DDerLExJosbAgSCB;iENQbV;XIidVEu=Qs[sbAwesMTnOiuqs@wSrGSOeYw_F<?Uh?GFIdGSueUcFWfcMHKkcN;CqCxE]uhaGg_E[SD@KSx;dmOdDidyeUH=I[ab<Qr<=B>=BMyHYaYmwYyqy:ihIuIwaXqWU:cWeOgd?X@;sOAdhiH`qcncvb_CNYSgSywsxVYHwMynisUwHYGY`Ie:=xWgeWwcwkxRaesSXTQuTqGw_xLYXIiIQOueiEoECwIRioEv=x;EW\\aEIWBsOgbOH>_w:wXN]euucKYRZgiUyWygY_QsO_b:?wFkG>YFvKxBYFocHo;w[SBJmXoeX[gHVSBWWThEDhggHSF<MfckrnGV]SH`]srIrIkY:wRrMpImulUsgDj:=JgmQoatM]Wduqwqx]eVV`JZxw[lswus?EUuAT<DNfeRU@Yn\\KTLqnlVFAmXqSSaMi`u<Qj[dl[`sWDsGQlCElnXqmQjK@WNTPexrtdN?XOedOmeLMlSqMoutsQEOMtkTQrA\\SiUQxtqIIl;>bbftcW]?XZGisMPgbqaSGbPW\\NXbuXvWIlZ`bthv_O`DHdF>fu>_W^fuVaWX]iOyAQvqybaNqT`iKH\\P_pEw`ligeXeqN[Wv^KPpthi`Gc:wlC`mxHiGQvEnsy>hTIsH?bmYqUFn\\Xpef]HFmcfagfqhgmNHnUFfQ`^eopB_^JqqOpl`XwCG]tnuLnogwqbakpgvAX^cFoKXlLN`d?c?hiTOiaFZoX[qNq_hfsFZMW[@fv:gjvI^SxfOVkq>^j`xjP\\WaxgN^MPdwwedFaZqmeVipFjmgg>vprWvEox\\qq_hydwaHykF`gP`v`@^WI_TP]>wdA@[@hbh^luqepFrL_xDOqhgnFfn;AtMI_QgeX>cc`]rokS`cBpkpFhaao;XwQ_n:yjFPrPIvAftXhyoFdZVlPOgHf]Z^_Oqk_qgLvv<Qs^Qkq@ZWni_Y_YGyMymxaZ:@aeotf@c^Nh@I]a_oSWp@HpBFhf`g\\Yipak^Oo]NZiXrHVafxgYqqJ`ZPyoYw[K@ZJe^;hpewT]ynCWLafdQwd=F`iE?_ba[bwKwbWfxeyeyUEstbuVhaus_hBEfk[C:OhDStH]tHYe\\qwGgcGwxWyXY;hoKuyoxTYWy_x_wGKuEyCX\\aRTIuMUIHAgHOFemf<AdQ?ICUg[kBc_fV?btAEAkHrOYoQw`of`OytQymysyse[uEAgCUkrr[IdShOCtyqGGwIkKiqMIb;dZqUeoTgOV]yutqtqOGdKGR?bcuHtyihIb:iUgyIbgcWSREOw`GFfABZGURIg:krGyCRQegavayXrwiaiF]IHywidssl]SY]S@[SQCS[yDHMfJuFY_h?miySDv?S@GbkWCoux^odLQx=[hsqdtggj?Gl[W]cdBMy<kY[whAMrJ;BDsTiOwveysAxEwsucBseF;AVKGc_yvtIc<SiuQB\\cdF[fMYEg_VUMsb_HoAs\\wxeqes=uCYsIkSRsgUGyhYFriV`UxJgGWoRVcG`cI@eXqwstmeYmBmmgNwvoadO_SRoyNSbnqDAgC[Ay;UwWciw;V@;RsiSWaSacXMID@DRdDmLpXjQLaxjo<S>lT>mQJHvDdNxqNYxuPiJt<v^XT?<JhQM=QsbmmOAmSQqgimn]OqXmVXOuuVceWg`wMuNS=m`=sFPoepQDpXpev@enqmLT]pUqx@hXeYmaayOAnfmnuqJFtMclrFhs^TMFilVEuCPJbIYGiPQalQXsbPtYtYvIxDhLe<XjYqYiyH<_J_\\:^`G@b:n_OHprqhEwdQwlLwl<^wXVhFI`vQyDY_i`ppppLW[XWdMW`p_wROw<YiJ>Z:psAv[X^sRHxWhmW@\\X>]jhZyFojAkdnp]nsZaimWhmnqhnev@]bql;hf:@peV_eF[>FkTibPI`Q>bVve;FlSxsLHcUgjexu_ql<PiF_y>gjwfovyewgxO_xaIvAx]@gcvVsIqIDUSEMqDJjUkGYmqtxJdy`yUP\\XCHLf=y^xkxLyblfTooghowqxqxqg^acyauGhKOr[vvQob:Ots?vJwn[qbD`t?xbkvosxljPenXqEIlUHlUo`m_mN`cW_lKH[W`p]IeyppeQqSfwhqhiYocxcOomsovsYiyyh_GgjPrGI\\_ar]is@H]NpwmPmXPcBgZSI\\AgxYf``?^tajX^\\sQcYoeNii[i^q`swW^W@ctFx>XvWiwHa^QVpMIonXww_ne_w]NqgOylVhT@c@ite>nmf^AV`<hj?Vho?yvqaSX`WiddXqxn]tplGV]`WsZVhhA\\snxyys\\^s;vxVGsOxiMG`VyaUilZh_SVsWNlpnytyxWN`monjNk>hg?FxHvoX_\\pfhK`k_qrewg=fvZgcPX^SPk]Huppv\\n[CwqW`ol`=OHLQrFUcGcG?Ycx[GOQTsqTuuhW=DQCbGWVqyDocvkUtQoB_ws^csM?EYuSCcIOWESaUSqS;kYW;HZ=r^IsMGbQCbIwvHieuQrEsG:kb<ShXMXCiFAwEx=iQACuwbn;R>ohFSvB[i?;bHQs:SiYYyXyxPygYucpMETKEJecDWxWch=;u;oeV;YZIbQ[UjEB;_GhOBnmUwOYoqhW;RU_hHEGgcGW=hZErVGIm=EHQhj?hjMunGWF?B]OfPAtLkb;eDK=xeSI][UmiYveTukBNYiMsW[yfcWTaoR]GT:Ig?UcPcixQyeAblAbiAY@ISMoFkQUNyfm_wQ;EyuwMCfi]W^ifQoUtmxSyV[SI[WSakerMVoeXoSyMYc=IRtuEGEI[;sbYyH=SRIBYwCjEuPacF=sqaHPEeM=GfQBq;X\\=Cv;T\\;Ua[DHsdeEg<eGS]fA[ULwbySH`YhDeHe?Dy=I:yTXwR?[T=evj=gN=u;eu>KdpgCUyv`iX?Us??UnYHyoXlIYamCLYdGobOqTgMWOeDyaidQHu;foWwcqbr]xWsemIx[SD?yHhktHCEegR]uWosrPofMWW`wSw;YjAB];wq]SyMUbEtrMi?MwvGxauB_iUfOBM]DjkIb_C:;BB;RLCTJcDEiINuT:?d<cb_McnwsCuvCsfZ;VPGvMmy^wfG[TmWxvmiZ?hnaXdkwDEEt_ymOR\\cElOd:wvh=d<[GvSsisyLiVxufLuhdgYpuejGcAgshUsJWCZIifqUX?resVdSdeSYaEXVOhKUf_gcUgWNcBvQrY[DK?cFesMkGFicGugRoUkgXnmuNMg_Ut`CECcsPCfZEdgAU_gv_QrDUetmSuAdeSIyog^kDTkIv=IGcR:CEYUYgiH<SwKUf@EBlKDDSHvGSIIXVIE;cerUgLiGemLmAx=yKM\\X\\avCuNW`TQuTA<sUYjGXQhErFIoq\\ujUrmtsvTpheut<J_Ykilqryjy\\y[<nveR?erP=yr\\LDDnxUYuUyrHX]AMqeJbhyrXvHXRIil[AqqLNGdYUEMCqmLpJguWbaWDeUu<Jwxt`UJlasktrVTxlYsitumuswtqviviDMsaJwDOb<OZuTk\\UnEj?UKuPWdTRstremVmquuuwWhXPIUbMKw=sIysydxNYTKIJnEKIXjXxx\\aLdpusQyVHTJ`k\\mK;\\slIy=QqcTN`QsT]KLXO]uqE]oetL?pOgEsoTRapjwDLGpJ^=jOdWEPPPtU^HtumflaZ^FZVOneO`ePlFPmbxg;YqT@_hF[X_hcXxIyiHVi_Yj>wfdnx=xgY@`wOqxIxAh\\Wf]<I`dXdPhdSGoGoaDwcph\\xpaIqxcqqcVvA`ulWsb@dJWk_Nv[F_Aqn<@bXqkBg^Mnam^^iq_M>pbO`gQddFgTHZcwh]Gsx^f\\p`Df_OvcrQblGvSq\\xagm>^gQiFwhV^]Bfhr_gAO_h_[TOpE>lvWe@PlmhjFAsbqrNX^I@ZNyxgYfsXduWZjwdtnZO`]hWoYgdLOq:xfuvjk`pNIZgwwBO`rorUxihwfhq_lpjeGahAquf`MFuFouUo\\epvxpr[AhqWiu?eE^noP^YXthNfkxpi?yHajiqiIgngAvV?xRXtTX]FialOj_Yy\\imUN`MvmuvvkWd>Y\\cQnZXmP`vqx[eyovy]eaojOZuievgdjAt]^jIakuXalnf@HZknblf\\OGqqF`Qop[?ihvhrFy^YlipqtQgOFb?xa;foLXdZp[KN_CH[O^s\\VoYwZRwv;f_BIeM>]wHqsHyvXxHY^^wZNVZ;IZBxnkW[WIcCqmbxy`Nl`PoOheDYsEYmkVf@aoSWpTQuTAtZisqvuv>hZAbVHn]PoQGbuaymysYahMicrFc_yxsvvVXhqiuqwg_^[bnl^@\\sF[Zfkp?hA_igf_gfn;@dfn\\M_cMvd[yncWt`hqlQse^Zwq_V_th@q\\Q[xVagnvuNat^lXpe_wg_ivb@b=>]Bw\\_gf_?gGvZ:GyUQkI?wyidQgeoaumws;fpmxjmovFI]p^gRqhsAiigeDXewFo=AqEpbTitjvptXfdq[WhsJPgh^iI^^WooR^^katwAjlpaY?e@XmKnjIYo@ApWwiYBcqyFciO?XQucuofQmwweHt]GnGS]MxBEtikYOyfogR<mwLQyoGdBEtiwYW=e[_gbIeUoW]avcIr]sCYsuOIdf[GNYC]CGY;RNWFmmVBsFFKweAEWoV:GxciDgsSUkY=IX][vBASoKhksHD]eXoH==ViqWFiXyMT\\IY;yHk[r;Edo]STWtjuynsU@[i^]d<csWydo]ST=vraVfGyhcrq[bM;TIitUecDmxtyX=OY?kEjuyHGH^?TbEGBaTpEBq?T@iBS?GcCG[qTccYF_RpUCIwgJsIO=FXiEWQUcmTNIeVKWyySH]Y:yEJQSdMtUsIlIWL?tq]hp?cHqCmOhHECNMS`Os[oxwOhBUhpEDHKe>]B\\UrtAYfWc@[H[ai<CTOefCAH]mdKWxycsOgehKcHyTOeTkkV\\SbFaUuewogv_ivDIfM_D=Ye[]TweBQAVuCgNMSSIV]aVGeSG?s`QWOkgxqU;IUX;HjMcDStHeSMcS_=CVIb\\UyqywyUwgwhlWV:qwIgIpAUweYwICa[e:or;qhxKybYF:auOUgPEv:?uqQtEuGw?w\\Wcx?epWcCAej=bPGtyef_ORyyBGKEnkVFAe?YcQSHr]ybIt]WgeWgcwsLmUp?dR=yv_CbCg>ED@WraSXVaisUxwyxYyIumxf]UEyUKEEjoEqorWCHlySvCx>sE^]q]INpAJoXXVHMRyNAupyYlT\\LCHY<Ln\\PTi<sQHWSeyseJ>qyVuOhMp^tlpQssyKOpLA@pfeP@XXk`n:LocEQ<]m=lwuPJViLsHN?\\TJmmN@KiyyThPeMmTPmjMPytQyhpohL^Tm[]q:uL\\EpRLwmTn>TnpQj\\asUxPItN;ESCmUq]RrQypiwUEUSEOxtmPqOQmXqaJa]Ps\\MneN<unotqBTy?InAepwpmDdPyxJHLtaHXW@WiUyVDOlawNtv@LXIaOcuLCXmF@JZqSMHRXEVsPmmeO_HKY@WeeLGYm?QlSiy>UnviukPU@\\kR<Qn]JPARVQS@`KjlkFqmcduN`SQEnMpXIevfEJmeVUeWEEXkExSuVWhPemtfDv@lX>yvOtTVETJ=TZLpDPWLpKlaL?Lp?mtp]MA<VV\\PStTH<n:MwZIOFPuXMTLMPsMx^uo`dtlUKdHPaHOGetkmjVUJZ<MAdYtaxsDw^XlPhOUmxJYRIDnQUsVQjYuwsxvXdn=@nG\\K;qwnIwMyWrHv@PuTQUjdPvDthdk=Vl^Yr<>bM>_MYdP>tvOunHgiyqyqylivEItG^ytGv?x\\HgmtflIOcBxcJvkhWpa>\\BO^K@kLIxMop[qj@Yqiqqu@gKQ^OfyJv[<n_FAskAfu`]U_uQv[l_xKybE`whAoTFMUGpoRQQtBWySKu<QBm[GFuuDWHdQeuGw[AY]WviEXPaupaYPYdoKvhsFqcfKssReRLoUTOTMsEd[wpUui;XWYVMogYATNig@ufKaVRmyaWISWGSEw;eSq[bKcX;kiUKV@UfH_ewCCiUgKGfvSi?=HBaWA[WUCRb;i_YtgqfKGr=cehCfqUwUIdgcI[iEmCcyKtu;WmsBVyx>cgVmDMGGw?cl=iS]irExUyWygyrYvIwixQyeasqCrWGRJcBJMFJeIJSFdyCNGuFKS=UR=ytyoyo]YLYDywbuquwuxWyvYwYxKUJEEradOQUh_yA=Dw;RWGEeQwnuCWovGWw>Qiokt;sBMUS>AG]=U@[hRetmmdJYYSKrl]bcGW^GxKqw?ShyIXZMX]og?gbMchWCTWuuQ]D^YXO;IVIYIIs`EilWD?_xY;dkQtEuG?;RVehdeDWMReQwdAiAuR<ER`KrIMG:GxMeYweIZqI[sWyoYwAXXGxSCxCofdKGdkVHaesoYwQYjecDQsDIx]yrMKCMEd>AgjyFY_YlqfGUej=BFoGlGS=ebeEiHYY[ayIuYtYtmuswsx_wdXx`uYuUwgwhvOp\\rIkhpcSP`_ammSH;IZAB:?vhoghgU?ewNQWGAekSbSySkEIGwVRYDXIXBAd[;d\\KUTMU:IEk[UfQGqCErwbsmrSsVfgUuoDQQBlWg>ETvMCN=enCWLcVRcVT[fb;H@UEbgE\\WSSEUSkSXCY^Id]kRF?erCX\\KwZ=wBARSuYe?uKGilyw_=gLITocO:YMSdmbXmAURIAOHAXfUQdDnoMsPpk?QqFPrbhvfMLm=rwYk:tXLUUO<PEtr:<wetTh`QwaxMIRQHMsYkxaPDpxw<x:YJmqvGYJ[vyxYy=@x_iv_IoYPodPoR>dPfZQQjHqvPGsyglV@qxfdhf_CNq\\ahLyr?X_WPqlQcEX]DQsA^ipPcboydqo`Fx[yZ@IsaW_wqlL?doApmOlevyWQnMPwMGw]XdaP^yIuhPl_^mnhfRImGhwCyryQouPkYhkpxaR>sqp^H?\\?ijpOe>hixWouXaJN[SabF^l[ieGXkyVniIsknyVGuL?b^Y\\C`ZjXvZIr=xgvHx@orU_nmA_Wv`?CTqfWubDOs<OI:guMqfGUx@mDQUEg_IrIxIwYV=UbcW<GgHmsJ;HQEeGwUkmVPagS]uBiTP]HDwY[AimWhM;FRct@ucXcYJpKTlPf=uMtSvDJbaseETG<VQdPyhxgxWG=mjDRS`oJIRpuTE<LyimqmuCeYPPKnqwO=VW`vPdxOeXLxS>XsiYqiqQh]RZIVsHU[pX=<tUyqxixiXUGTQ]=sfen=EWgeW?AkkakqluvdliTyZpLFULNiL`iVbXnELlWyMBesfaSghOY\\ljdOIUKX@uKXuVxtllX^aMRmMUDmYhngAYBMJnUsPPYJ`pYeu?MTKEMMiOgTpjPwp`X:hXgtwWDN=QoMTuUQN_EuP=RmQwQiqtuSYxvFtm\\\\q_ILytT\\YUhYwfEtoxV\\djk\\UFXmadP]erXHocqVNlXGiXV`SRMPU]xXaQXdq[irZPt<`nP`x_imqmusHv@XMBxqUYuUyoxPyd=jrmwJiykyky]ysysymkmyMx=y[iTQeUoEy_ylyEyEyUPDu>tt^Pr:YwZ<OaymymySxVXHkepX>AJtqxgYS<UnFeVlMwpyy^ElfHXVajKiSGPvChj<ISO\\vO<kfTQ^qVhmJTlye`UdDqlxRl<PQAPDPYnqv`qt@qJCMvg]sjxqrAn]TkApKWQTitTleVaiJ?uP@DQKLO=dne<Jg@npDN`dP_Qk^xnLEOdmt?mPE@Lo\\xNMR]YLV=jptNdHO<\\XveV:YJNmn@@k[TW:XT;TtOqRkdWB]lm<OxpSYpQwatMuSO=oqUO;HjvTSr]uIuXc@vTMWDijehVA@t\\yXEPLs\\qqXrCmXxUOVtSfeSNqSaLUiHT\\PtQXXYMRfuOvpNqQKBaYslpDAOBYOvavDyqYdR_EWc`u`at^PXWqXKepE`yWtPv\\k`Qk`EU\\`ocXw>XqYIO]xqbqjjMX=Em=lwutjTitpaMCeOb]u]xkxnuvHi<is[vhDI_a`sVHam`oftbAw:cVsqsqmim]ukurWYYiiiIuqcivEylyPydYoZlknyV_DUsmxSyV;UjJAsRIp]ukvLxBqmWXTCUmNHoFmovYQn]VLhlL=PqeTlHWQ@yUItb=PNlLwUwvYjADKadKtTT`ar>QtqqtixUIapXQk?`v:XyXdK^`Qd\\NTaNLQkklnCaRRiJCTUTasvtxDAoNmNhXyt@S;erCtNrTJdIX?HVE<xKtm[XsZtVhQK[MUw`SM\\SFaluuOmerM]TJpLlTK_@SPMs`MU\\xgy@_@Fb:NswOedPwCNa;Q`NOx`FlGnl:geufltqePObua][I`fa^nvxTHyKqbVvmn@r^HvGf^Dnm;y^[hguWiuf`wYq:AyWGj>GmKN`DXjBqjWHx@PCmHG]g<=uDMgKEtW;exeT^uhQ;yOIs^?sk=ERUdYEi=Gr[uVuaDE=YYmvMOVMUy`SSOiuFYfScInmB>SypotJ]V\\GGtwyfmv]Mx`]CWQrfqhwsgMqWXwvW?cd]GgKdh]b?Ei:abWwFgyCG;XOUuF;WReW<QxEStJiE=UrY_xuKDVyB:;UqGhL[f_cih[Gqwv`WgQshbwDausWeCtWr]aSPUwg[vXws_]rvsCPkuLuFmWVZ]WSsBpwwryhNutMOFUsSFqs:KUwUsZixPiXLYC:WiQkdKAHH;rWwGyidQmUsewowt<?g[aV;ER;;SFEWcEwNGGMmFGMeN]TN]tJAtjuywyxMqgH_tpUr@gCYhuiqXpMSQyJN=rIMyHXkIiOdLYC@sdqymevy<TlTM>AVK<NeLmcXwhqTiQrQDNFHjGHYcqYhMTpQTkeOMTTfdmXuydYXxtUjDK>twATmq`rJHVTpo_PtLPjahOsTt<qs_tSGilWhnULc@fkNIkWF[^Gr`^\\s@fjhb@Qb[>iO?\\Y?q;?f>o`wy^UF^MF^YFnW^q\\naDIvoW[\\Ps`Xqa>[`wfbvdbvvVfdSxfRIZTvimAecixqg\\oXo\\P`mP_MOdpWe[PgDW^Di_OvZfakDGtDyv_ipb@bkxj[PvwH^`fd<?_Dq]d?`C@vOOoQofShvkvx_NhenxyVdFWr:FdOWOOEnUDaaUyUBFYfasrdWwO]FfsrluCngGCuSm]WpyIssUwovC]TRoxMqSucGTcc<ObVeYoitacenMd\\[YDMsAcYcwgiwetcXdUTMUtrGX]aRpuSMGxaOUUUUSEy]wcxKIwaxMiraYfmWgF[D^_UUEUfiY[Aw_syLORseSFsxgOvLqcjcwvQBLGSribFCUJst=CGE]vQ[TpgCXSDLQtHgd@AtuiSkKgmGgjWiS]DNkF\\GXymeegIl[uReFpqDkkulIUUmsbIIO_wyUh>eu?eEpuv_;dkGiN?G[WtkOBTGFTwHBGIigt`yHsCs>oVUOFW;Utexggx_eP^qpgpk_HVB]o]TxZaV=tws]XNEqChuAXkqTqGDWoPpVAJ[dTpEvfXRLQo\\DmjQLO`eOgu\\VqcXoFibNOnIfn?ofLw^X`^i>Z=GvpowP_rVGtmgpE_c>voLNpLW[HYicf[qxdyfnp@[bqguXotIg?A\\Sy`nfjUpj<Gng`oS_q@ymfY]rx^dHteadgAZjQ_t>vdfgwPhmivg^dEap=xuDhmkxad_gOHZLftsQ[>ywFV\\^aiK?cjQxGiedwreom^p_syc>>_mqxewbqPtvvyby\\^iqFYhrhwsah@WdhqmjgxSQ]oGv^WlTXoiFtmPsMVbbow@v`=nnmV`op^vAaj^`_@fkWe<ydYOjEafUNuU^u`IeFhgjxfbWe@yqwIhJqpSyijGy?p^ph^syys>hExl<PmViw\\a``Og]_xd`]jwuHPx:vmYpitIwTipeG`Lg`of`Q_ekCJguOit?wg?cB?;EJ]E=?w:?BWSYfIhMqfGUr;USEUCqIwjIcPKcEWcsKybMwZYbIkTCYuB]dceD]kIiuyQTkKuK[lQiaeaVklXxKFuZVZUG\\ofvMYl]orUwsrH^sgbowuxPrY_o_NeCXs]guKG\\L@iw^\\[N]N`n@qZSO\\sVgShqc`ZRf\\rgyaW_aaqPOtTV[bQ^fHaTx_:FdVphkPc_FmmXjDilgA`p`_\\afZgh@y\\iI]bHoNGonpu@I`=hpugggAkhGeYGltgZei\\pXdF_bOf\\cam:PlRPlpWxb?dWQjePeCi\\^?bDnem`hn_hbVhmgfwoy?afUNu[AL_HNIyQOs]cVA]baKByWBeaTFSsuIi]cTNqhiUwpOTAOEGkXFEedChGuW\\;ugUkliTc@WOPsxqYaTu[@v^`sP@uIOhOfvDqab@^:Q[Kw_?fim>y<XdPfrTY^CNnf_m=nwYXZx`nc>n]vwwxxXVlM_mwoxSiyuyxA`^>OnPquXqk;irkFca_^LFnsfeCGcCni_Oc`NcHgggO`P>iOgdOalcVdNqubfrcfbD?wyqc?W[H>wVPwWa]VinCxdwyv@i^cIoLnwqieWWqa@aXFsUahyIeh?r:G_rYcoPqPPhnwmeYfXa`ioiwI^M`mv`n`Oy^_bLvZJ>d=ax^gaioaq`hl_hayqI>tsq\\^_djnjTXnvWacV`Wwqq@o_ioQxZTN`sxbE?h:GsrXrBPuShh[VniGxuYh=AmeVuaX]hnnN_xmxZ?Q[Oquf@vO_l:p^]aa]V]<Xjb@g>N[FI`=P\\ggbRfj`W__dhqwokC[yTOUTOIv<qR];iKOHZIxd=XJUTsSb\\aCsWuQ;CU?gpoCb]YIUDMqeWIbvWi>kuVOvDQuAOV@CRFqcTIuDdO;ikqTsoqTFIL]<rbuQDQyYprvTQTxRdAvjEKt=sAPr?`Prxu_pXRiNNInLpuU@RquohljuXMcAq@lvnhRNaUxHWeUUfQrmDpLiUIPPduumlr^aKbtwo`qqQmAAuhAvfYVJejkqUsPUBeQb=r``W^AMciPhqlWIYYquk\\YDPlhHUmpjn\\pYuqxMSXpUl`VCuXquPbiUMUTM<OWIRAdM>MX=Mm?Py>ewbTOP]oZqP_lkYuYwixIxQxAyKyRYdOlUKXIVBQTOitOYtaxSy\\xJYRwpmraPmHTxiQuPOr=O\\in\\qkCtkwmk\\huVIJFIjruKI<p<Io^XMCmrKYpJ`Y_yjY\\kMptJEo:@tLAJm_[LqbHYuwwo]?`nFfDg^GVrNAb``^dPkEPxdNb_fvHnoLI@GDEidg?T`OCBSSGWI:cVIQHXqTduD`wyNMIrMW;IWqQRgyCq;VCefSgXBwXVQsRSRgqtlafDqrdiCNSR:?gBwiTYv_oWbUuhIbMcBWQfnQSuOIx;W[KDC?gaKvGUYbubw[DX_gpMSFATlSbL;VR_fcUigAY]QtjqtDAdCEwpgtRKtFqrUcwAEeIcwBUTXItKIB`egp[HBadw?cduFUIVI]dAiwpWs]sTleRvmUiOsoqvoCdZcC[=TcoeqMfpITZqgBUEOqBDYt?srIyIyayCuFW_rWgSvQsnSs=wBIkV@OW\\eV\\MVFCx<ibECgp;Wb=WRGH]mB=?i]ov@gCU[ddEvqyiyiy?sDV=XeigqOTmIfFKFCmbpet@kcHoI>yEWeUW]hXwTuOX^]CDae`ue?ewpSV@?DvUIhqcaoGvmf[[YLUi]axUcikexloICqFVscl_CK?t<GVy?hLQrjISqIEUmReOhnKr;efLis?MDVYH:KiEurtgusEHWaIyEHqmU<eWgQH[MwAScuirUcRZ?I_ahv=iYAiDGcM[iK[eNgFUmWRSX_UUtOSTMgfWIbGxdIFdIISsBmEWmUyUYgnCTksVNwBdcXecuWiuFCEFMXgiWJWuaOSmoSOsGCYiLqfe?feKFe]yg_UWeDawT\\GGHwHimuVETKEfjkGtUSEQxWeEYcb\\ei<eRIkHVQGjWfBqFjeDUabF_fYEgQQXZuR<;bD;xZiWYGTTAWqsgJ[IMCgLgdeCR_wB?kDJUijAEFAg;auOqXvOb>shVMYAceCQwi?WJqwhSeF]hSki=keDmsPWDSgfLGcUoSM[TsIeHAWhiYh[dF;cwuGMehQmIaQi\\KdN=cN?fNsI[iTOmEZCIZqe[wcDEE:GfC_R\\ceWgeJ_ii[ijQrSYhauWVAiKohk;fj?yoggggwbYfIoIfAh=qUrEv?[Y?eHvwsveR;uGTYuUIBAIxCWVZoXtIfLchMOI]iyAcbtivisYCWShMicqFBGBlcCJmUXsHDsi:qgw;rtcbGOdLOD\\wY_EHyggd]vyCvVShqaDcUvHMSLEUUoUk?ukgFTxrEYtNAO@lt`aTfYYuYWwIs<ijoYkYAka`W[mrwMqplYLIl\\]vxMSCLSsDQapJEilWdL\\yQ_qRCXJdPUp]r>=UNMV]lOjLlYeRUiq@Ytghog@NTAvK\\jUXupHSm<S?]s;IqSlW?em^<uOUwsUOgaSEUSEamsTX:QrPaoSURnyk?yUQuTqUvGxPlUkRpxkQvEDmMMvKQmUXmEUSEEkAEMWQlw\\uheYTAwMhtl=nbur<UN\\\\U_`lMiQqmRCaQNTVv@tSPKfh_TFd@>ZQqr]V_=yxX>tIx`JanjAef^wdWadxm:h[dNjJP[:HleFqlhe>vkOQZlGnFYoNFnR>`Z?rAv]v?rovm=nwU_j]gfbxnbNrYpynyn_XcQPx^Av;YjAp[WNcE@rsXhaQjR_qkqrU>^ywlVOH[VBADicG=UIFgBCoXH[IjArDQsDYuhUiGKvu;TuUV]UvwsxVYxqyiyieM_HemtfOuTQui_Y_YG_iv_YUsesiQT[mur[uhUx`isqeuouteygyoSw]Cb=Gq[U:UDIuIwaxcUt`gw]OwpmBegs^aYjGGrYCQUvhUi`=YcUsD[cY?utoXGuiOyW\\aY?UraMvIwYLSVAWv<UG]YghGsJkTF=tcitrwvViTqACrevGyWaQwq?YRqDg_UnqiSIikotiwFMQrimdqwSv[GLEUciX_UTU_wd[cnmg^QCEOuUoY`IeametMwc[YgOgdOyxyxywUKETKYrO]UKeEWcEiKi?[HYsTWqYuiwZmrbEv_ydYmYjIrACW;QB:sB`?BH?bIugmAg<yu^eIdGrQkUrEBJ[i[Gf;Gr_kGv?x<=TouGDmTkYsk=hcUt`wuxqxqWGQmgvUygyhQwGYmgRYDSSTMUTMafCUdHKIbAF:qwtQytEx?_ymWDC_roytYuuXqM\\IJrpUkEXkyOyEyEqM>TMdhkb]KmAw]xk<Hjh]urHlVHLQqyjyZBHjOohmAfXwvVXhHqhUIfE>qunb`pn`pf^AsK@vHAiJpywYy]qwNncr^hd_^;IlkFhrOgTga[_vsX^whupIjEy_u`wlHv=yjm?usEwMtpEgWkr_avBaukurW;U:kUAauw_eWOs>yfhyDIODJiIn_ufgfPoepuI_IgJMenetWIDDaGmCycMiS[SmCh_=ubSRkwRpIT<WRCkxTWWhGrucb?Yfp?WbKt=chiquUix@svNehkCRt]b\\[u>AgruFyGyGyWXOXDIGZoC:yrDEs;KyuevOwT<CYyKxBYFyxvytSV@QKxO^lUimWDHjRDjdpy\\yLy@OdLO\\qLUlQqYuiuq]xkxLM>yxVYXIiUqpWWLwyuvutu;DQ:DmJDuw`ti<LOmjSdxRhS]EulhVnaoOlMMMRV\\kUtPhUuw=uweUYTkQerLHSs=PhLVFAu;XSy\\LeqLC`XN\\UohWXYO?ExU\\jepNk@myiKe\\NQlxkuwddUWXOy\\UlLs@ayD`XtDwI\\vQatPQRVUPGTteHvJmUWIq;TsOhW;LNHllhdUtarMtSJQMuAu]uk_=jZiwlIL\\TV:TwQqUueKZeyWxXXIndavatQsIKoXpZTyJTJl\\xAIXDYsEISYHWMXvGDuh\\Q`<O:xk:yub]VKQn?MkjxYcYSYMxDuLZtw>ewUlPf=YZIjA<rt=rk=wAISnySe@PxttY`u<XVvlKryLRUuQ<trXnwyuvqvqLOhuP^YlXxPi`ThLwppppxQxIxI@l=]NBUXqIpklK:lw\\TMYTl=LjktuseQ_LqkQtEuOG=mjDJrTmhUnXeosuTQuL>uOhYYmxNwTWhtvFIm=HUxHv@XMJQMSLQqiNpEoWloAlW:xusuvWPvmIqOYX_tTNdMJMRolTBYRIdQ>GiVqw]F[\\QfXQ[cpweArW?qSVm?xrU`j^nZ=aZ\\AiWihQidxoeEw\\HvjkoyOydYgqiqquQmUXmYfinIt]nkrNb^gcNpqtitip]o_tK?bjipohpnplMG\\dGgg@acOt^xoygyeypXQiev_siyiyiIxobWdsf\\wGZ;gcrHwv>^bH_ax]ionbOrtgf>FqiImDAqXOcSfwrOEsigsF?Uh^wcuWVNqxooRY;GxywQ=IYmFTebXmGoyBc_f[mbWaIGqcDOIeith_vFmcpab<uu=cfgsc@QDsIREmSHycy]UxIrVSTD[tTQgvGR]oWvITf?iN]WMswqsvegeeSIVMUhSev?w\\Wc:mgcGE[wsLOCkqS?]Gc;h<Iu:SfEqdgSYqiuqEsSmvHiee_UF?BpEWeKRa[T:=uSYhauSUoHGWywOseadFSeN_EQ?BxkGYmivEx\\ir<YvpESgQdDsI:iGP=vByrXSYfyBy;y;SyIkU=oX@ucXcYDIGa_tOit;WU[wTmyvIyYkirQsHimuFoYxYvYsy:sxswvXWYtaxcYRXsfVWfrgGJYbyGGRgEJsYEUKT<r:XVXtYvIxr]MOYR[Ik=Ao<hwZynLQtL=XIasUQMGPTuekHAtwyTsdl<dsqpppPnITyiyqyAsKXNuTQuDXA]t^=TALUwQJ@Ut<tJQ`YeYUYQMp\\WR\\jPLPMennPra<m]dNV\\PxLWNAOnpJS=Kq]R]<M@MKv<mllWG=VJlQtAw]hLelTV\\YjIratmvMPgXuSYUhUmJ=L<ipQmUsevuywyxq]`uO]L@AtgIL]lR:hP]XuwXNl\\R`TYCXQ`ql`dNk`nUlN@aSCexAHLELKE=MctlAQXqENZur]EpZ=O\\@qi`KPqjeHmlUNbtXuTqnqXY@P=IL@aNWypFEkrpysQnchKeLqMMoVasNtybtx`AjuqLCxRcMSrqsMmwAdYs=y[yjmYxmYmTPmrhQD]vGiMCIP]mrJTLi<Uj@J>YK]lSY@m\\Qv\\mMeLr>ux<dLw<J_Aj=lK:DP<YQIXUihUupludxddKXqopymudoFHRc\\UEIMJHK_HK:UjbaQxDR;=SuLXvO\\r__A^wpF\\nyjjy_TiuW_[HGosi]UQtLVmMX]q>yeXg:PxVAgmnk]f`hIa>xpanlnhv@Xb?^glYcDx]HfZ>p\\Iob]Of_yj[wiK@xsnh\\ndNodcN_e@xeOsPFnVa``QsHaoev`xP`D>fNX\\@G_:>ZZRLCLdxo^`n>@lwEsLhNGhkGhlOhlfXnVPPsxoGewf<QBQqoUwR@P?\\nx=wJInXuL]dndEnGmNruJ=mRjHOT=qLIRM`M;XYsXWPWnnIxv`]gYiqxfko]QnynynyfqkqrUFsN>bjyqqiqiicX`aST>ii@sCX[CjKYxIyaYRP?iqquuueumwsCvdudketfGUm_TfCYOcv`wvWKUTSgbSbo]IB;YS[V=;BheBIeTv]CiOUdygyeyeOSMefncSUqD\\ox\\Of\\WshSifmrFGE^mUr_BaIsHwHh]uReTOebSCBMgYaieqmIrAv=gfEud<GhXuYwix\\SWJmg\\Cy:Cg]Yhf_gfQxEyGyQuQqi@kRIAit[wd[F;wdYmYsIdAmE;?v;Gc`AwwGy`YeFycHUdRKeWSbIQXDwbFCElUxGyHmMhpWuyeHB[x==xh?gXEyx_VnmcpwFCGd_QRoAbBkVwoIVCVemuVKgPcVZueIIXWag?_DyQBxiYHyB:WRAgFAwdBSwgGf[GbRceioBPAEPyCcysh]biYYw;DNECSGEiSTClsrTvF\\KS]OPTngiMw]kNmdrgnSv[YVnFXZ_^cM`]mWg=vguxt@FltHZVxyLylx`ZDqioitQWv^>_WfslqqjYyFHyPG]XxoupwtX\\H?a;f[tWxsIjS^xgYuQpokXy^prWooxWrm__VAkm`kIV^fvxyHwiqwMys@`ieHmTp]?gorQmIgy_hfxwdUwwbOrkN`^qbIQd^`[KP\\sVbqyylGtGFmAxsQPcBIwjXdLQncHq?wenqoSiqFykCXplQqgAgvOyCPni`k;fvEicPoofa^]Wh]Y_M^Z=>axIvIvi:fnwitipio^G[W`asS_T>WXEUT?sC[wcM;H\\YSici>KgEwgauewmHKUIcuGSabDSC=OsysysysEWcEwKdIo<itYYplPx^eR]<JQ@vSArN`pdDJMPVDaN`tMOElyEWRTxfwm_xaewdQw\\JWyrIx]IhungE>ow`eVv]u_WkG>[YA[C?kTrmvSwVxEPy@nedOitx`]KfIRM=uXquHio=LNW=Jq=jWYlHMaOgx^oh^Yjdnfkn];>rTYm=NhA_yBVr<xZAi_Jid_ht@W^ZwrF@wTgeWgiIiaqAv^Yeigqo_skvrj^nFYZI^a:FfcOynIwR>\\lveTwn:_x<vn@vp?W[vvsIg^?fmrOvCXdaTKQr<ibEsfFEe<WdJkVZCfWeXOiTd;u=KgOatNAbqUVbGtNOH]=uhuyO=VxmuBErFgiw?UFahdQxxsRUQh=gGpKIgSsUWSXOC_SVCsYqEf^ah[ud?mWluYqIU\\cF<ERqAF[Qx]eSxQeTCt_mcfcCYcUdShQOy>=RUyvVccNqxWmiUmevMxCmwGEVkGvgkvuWbqaDnsfkGhksvVOysKBgKhh=Grec;]GRKfe=yjIvd[GhkbIWYsMFU?IG[T=_f;;uWGyDESYCEjsU^eMbhkNeV\\`R<iSwLKOHxFAyZ`ycmXouPG`rK`Vq=r:HJMlNF=uDmJjQo>LX[dVpPO;LLMARZ=sbHT<AkrpYbpnJaoPqvPPJQ]xIUQPHW=pyTpTh=ppaS@MJVQVEATN\\xvXlaPUTxlgDYiuQCqOfAUdXNZXm=@PspnS`p>xQaynJXOutTNMSx<p:PuTQUZ<S[Qo`ulfDUL<XE@s`qML=qVPOO=vBMnpIP]mr:@NE`WNIT`LToQWj=tryNY`Y<<KBMyi`lbQkDULAYjyUJXUTMqJv]S>to:@nDmYnUugupGYmqtktDQBYJYeydyT;Itj]oNMuNHPrUk]tkvLx?yLY]yeyUyQYiiqqQJCpUsevOxXXIYads>eRp\\pEdlPYQ<qwrHWXmUX<y`LQIpMlxNbyN?LLhqSe`NMMNUDykeytixEylitV?dVSXpWqxCqRcTlbTYRdNZDleUX=PV\\arCXX`ass@y\\YkQtOX]K[IvyuyqyYahSUpRWUQ]MPldrOPm]lXOHSN]LMmR=`T:iMk]rKdyuyxAAmZPrYqypypemospjwIrrHvFdwKEyOevUQuK@V=IOmqVMEG=c;CtKqtXqinUVlCedYdhYep_ghueM_S^SWnOVQAuNItnSrDcFjkDP]IgCWpgFLqXteT\\ev;gvAGsN=cLeIpwcd;CvwUIkIrAViOCRWgEsg:OcwQqc\\qpQYGhUPIqAxOOeUWeMOtNUQNWeJVIyXXXbDSm@RW<SbMthELSalQEtb]tEdmOPS=xTKPnctL\\xObxSHqrl`REanMMW=ml@IYDYSO`w[uuuePjLMHHvj<kuhmCDwhXk>hJXpllDXldVC@T>]tNirg`pjTr<MWK\\mHySxDLCaLhDK^hmnXo\\usn@vp<vJeXiuVOpwsPxYYOxDnsINOtj=MtPHsDXkNuprEvOuy]ykE\\sUpVi=xOqPQtKimMj<SNplNLW<ymDiKRmofaOjuT^LYvAykYyiyqytsIimutLbeT^UVoLltPOnDuRAurUsgtpf=ujHJayqxixixSWPQO`u;pPf>gaGajAr=vbH`]CNkG>^Eg[Kfk?idnF[dwt:i]P^_R?bXFhXIiaIomatdWoW^tOWoPGZfXpxNm?>\\if_gfnHxmTve?@vkW^ZiejnnkWv@i]l?SsSxQyQyi@UCduDXwD<=IsydxsTvWIdmEj=r;;IR=ijEFZGiQsflAepSibYHXgb;gHA]cRCdYweYYByKfoCImyEcsRIExsaUp_Htsr;kVaagmos\\SCxEv?wDXUYgiHHKHg[TkUWoAWk?UFeWq=t>gXe[vGwexWyWywLyIgiyqyuA_F:YxbobAav^WhIKsmcWA=i<Kr=OCsssCiw?;gWQd;OEfsHkAijcbIsYxEV\\ySn=clod\\qyWWR@oFqycRir?OUSecMmuAugoYE[ueXKxeIVYoDBkF<EbrwGfKS<QUcmeSMU^ygf_cPEcrWF\\Kej[RAwIGwiwmdNAGsoc>=bioHYuSvmWVAikuH]quX=Hj]c]ScQMeLsCAIdhOGDuUHKVgiCTiBlaBDAClyBd;R\\?BN_y>YDI]emmss;FiwXVIp_XSQPTg=nleuKPM\\`YlIsaTmqtW`aoNlLPLlG\\WetNfawE`vPlUBMp\\@KAPNe\\nYEqnHoYXJvmjidmpuxtdUEImbUUu\\Nl`RlXlb`YOyREaRvlRC@UHaTh<ouqmT=p^IjCMPnxKrTJiLraXoLHphuT[qKPPLbpQ^MTcEUSmx?=sG<UhfZG?]C?wKvbVF`movFOwA?j^AjWyp\\wp\\VwF@]Ixr;hcColSNdJYcOi\\woZ>^ypypyhimisqVvry`yHyGaysYxOIiiP[Y?qPiwmovFIbaOodPohhqpQu[XbAPdEnc?f[Kf_Haquqwu@yTWdMWdLOdlYrYnyJ@lNIlxHaPfdq_fw^t`AZiQv@?qjAn=p[TH`]orcvnVPhlIsavpohpk>lkfhCYa=yh:qybfbnywYymPqaIfanAtiTwQS_?bOEUJ_uQUtAGrvUvGwHrAbMyfIugiwgiIbYCt>[DWGFYmTTmX?iWwGEZIxjwvXWYhlsrTj<asOyTYekxHY=TsZaQR]Q]uwjDvNnnMgd]?kphlevdp^`n>nx^v;PxlQhXxncnklqtO_oYIu;Gds^]qhragqp@fWXi;^kgqw:PisvnOf\\pyvF_puXqthb\\VaCPtFIhY_raNgYIcgXbhfeTYmkPZgippWfFQvwpuNobcInsnbOf\\OvZXBBKIrydy_y_yrykykkRdgf_gBNAhZ?f:_vIWi]uSwcxNUTMUDcmD[WHBEFB_w]wcxKS[wEOwRF?E;MtCuBWcv^[xrYvIwIjAr=[edGCMkFjCrXOf<YiF;RmOYQcFbGGAOYi?v[kxKUBqEd[_E^sEhwyugdG]YT[x?cUwYi`EE\\KWrQs`ceTIxtYd;CeecT^oHoCCEqDpWgRuH^iV`WhOUc\\sB`yx>ODJIHIKUVGH=gEE]F\\OVXae;IgGMFZ;xGQwyKRV?XLuRb[csOGFWULCiaaRQaUSIc\\?xkCgbAd[SR:uI;AC:qCheioqtCWDaKtDaU?[w\\[GXgIumHOerwQyoYBfkx`SDOuBfmDJYDR]EYUuUYuIQIeagsUx`itPqtLquL]VMwHouXqUBcquyuywAip]wRIh=kBF;VTmTnicp;wDSDi[Ur?DAYEp[WbSGeSI[abM[raiHMQsrMtuwxEoR:[xY[YjIRPITkSsOOiAYsukh=eTWegMsXRwHgMu>kVAIRuWwhWiZ;VjCcF?sTyvJedB;gwyxywyWsr=qbGSetcXd;yZsEmUigYVV;WDssjQE<YdTCcSqcOqB<SwZMW:WhmYxmIF;_GSMh^eytixngY_gWd[r:kwxUXbAWVMSmQVdQxsAeFsRmYiYiyH=i@mxAmEs]FggdNWXgcdYMsB?gAccuOT_Ggt[vEYYuSCPIEGecLge`QEPEeh_B_AECuUNIHfcSQiGQSTgMI<MUQgH`ihBIuNKXw[fuSd;AXbwY=myAuwhSE`ac>UScAd`Ic\\SdnEYd=WYWt[KiEGeeGdjEdeMTsCeZEh[EVimuvGU?;ITiEmAiqYWP@qJXUDhn_hnqhEKXp[VhYxHYII[vF[D;SVDMB>UGT[CYYhIqIEaXd?YqWcDOcRsEDoTe;GZ[VmyvIyRoKgUIkk=tKuVkQv?AnxQrG@J=LvHupKuokLvhHrLukvuSt@nbipDayFMoqxSTIsnAJaYp:puLXrL]ULDLahmO=TRUNcQlYuxALj\\<LJlPZxUTIlcullmq;TYtETEXucQWFLm?=VgLmY]KRDPL]tOYQFhuCxtjup@]tDilXisGESkHWPEJVaKduKthKleypYuiUvR<sLEu]XOFEKNlsj@wZuMdlNiPNNavZ<v`<j^@jZyjYlYrEnUmthhUE\\thPv?Xt:]MQxJ<DJZlSV=kUiMu]wk@qpXoeXkJMluypfEMo=K<hRPQYUEJ\\MmQYOaDTT<rZIOBAmvXUmaRgaP]DTWlwsTjcTR@MKq<kuAqkUv:aPcpKA\\vOmtyapoLvalrMXvmmwsxv<xWLErYYn<tT]hNwPl;\\LDIx`pn\\`V<Iv_TV?`x\\`NbLx_mkOLM^XX<PKaArW]XHLMsxv_tlVMjsXof`ovlyrYvSPV?etAUTRtYXtxfuN]LpPdSdtmNtjtxPelsvQRq\\nUqRnLugTVvexctosDWjessUR@amy=PxqjWXqYAvipkRlYxIJwyqt\\TV@VNyKdYmLpNbPRMiVvhVxIwl<V>qQqhNDESLERodLchUSAvcDxixjJ\\SuQNjusBQYhdr[DM<dS[]pAyRYdYnypyhygtXdDyLXvG\\jVYxVYXIItBeY:Aj;tNX@Y\\to?DRsdynYti@q\\QKHdyeuowpXeioqPlf@p<\\r=xyuyqyYjj<x^YlIMx`xXWiXQiJQ\\U:YmdhQKhUgIQcyTI\\LPewQmwUHKR`WGArYmxE=Ly]pPuKDdK^\\qEAS@UJPHlbAPLeU\\pYbYxsYjjPnganwdXoQNker_MRIXKwlLlhSYhoC]YiEtdhMNXujhVdqnXIl@AVitOP`sDXudAQLewmHo?]y]iTg<th\\m@Gr?O_jIx;X^?GeXH_LojBgpTimCAchOrlgfaW[]AZLpa=PiyHx@Y]<ihB`raPk>owoOmvoxSyfiGq_q\\TvdvysyayIF`\\Pf:QsQAk:F\\f`Za?^I>`Lx_SPZOY_>`tnwuv?x;yZ;`hEOcD?]H^qn`pNh]:>[P?[UPu\\Nv<YxIyaY>cQGp=NgNhqVPZQGnofZEHkTidFHidVmjW[Xie;ndp@b_hplgslqrLWrIW``_s:Wm:?raomson\\QidX]rvi[ijQNvcHxNVr@h[Mng>gpX>uPfyo@oUqx`v^SQkSIdXAn^OZX_sAaf:_f<pfTGpmI\\jV^YvivI`RNyLh^Eo\\gNe>FZfGr<hZmqvGYex`isYmioqsGt?w\\W`ilIsR>h`HayFw^XldN_d>_W?dEqs;ofaOwdQwXxixIYQv?YCp=Tx[yjYRn_SEwY@[g=ihuSV=_hWcb>gGloWOEGq[fgMDyEWcYeOoS@QtlyTJqIFaCZCSu?DUgEsIeJOSkUI_Qy]ermgD\\qgxOsp]VmCWqOXe_HPuSTMx:]hC_bOsSsCSqaTpqwRUWgCUQqg@uRnCIREY`kRZKwBoHaCWpwRGoVmWHbmh@cRB]HAMR;Sfl[EbGt?=UfMh?AHG]TdMf>UD?OUtOUMcYnCT]qYgctTSDegS=aSEsFYyT_SuhQXVahcoIW;xyWSx;SV=uWoS<gYp_RQMEaoHs;Yn?gBoFKIirWe`eHgqcA]UpqhG]FUgeR_Y\\oWqafvitPCh^_wv]D=GdDOfXkcU]ePsF@wIpoDmUGpGIgGTnwePgCT]CSsdNwYP_tUiyUiXWOsrQSgIybgvg_F==DYKeduwHeboqUI[wVMh?MFEMG@wtfQvEwGXUipewDgDekisisimCX[IrqyuywaCWeyuywyWyXYiyjYrISvwmrsYEh=i;Gfo?SaUweYwa[SR?rgaTJWvuuwwwhcGgC[v:SX=;fyIwaweXqYuiwiiiqqECCuGwHXAIcMt^;d@cbvGWKUd]ydyIGKesLoV]]dvCrY_VD=cN=FJ[XVUsvownufyeyDUg]guBkbl=wvuGJycLcencHnkGUmTSsSuoBhie\\?VNETkECZ;bUSh:UC?KRsGbDidWwGXUWM;B>QeTOEJayImIsaBnaEZkENwe>Ue`YGZmg:EWZIDesTh_c>MF=kBF;BNesEYsUIT]AWJ;CrAe]mc;_CjKWNAG:KSXAcdqXVUEHsJxLjk=J@pukurWTv@ik]]xkejMeT:IRZPtPqtPMjfMYOmxfMl;UVU\\uBdKLHwj<lvlkshwFunIuWPuTKhx>TTk]TJuMViktAN:`TZEXBdOIhQpAu`isUHPrLOTiqTiK@AsvtxVYXr`qf`ofMx^IsrmOnprjYQuXWx@N[APZ\\KgiKBdycmmHqQZ]TaesThJx`sG@KO`KEYMdTMI]jXxUpEu_UTapS?AW=\\r]QOh=jZpNxPt`qy=xKx<yDyTxPjcHuKuykmMM]y=xMvAJRMJeUjrxmPqpuhv[EmL=TQETKiPQtXptNg@UDyUVlL[eo_Uv`@qPPochl[=XuLMthonhLFdJ=ePxqjGhKxUSidoc`LGqStlmbmSAQsDYkMxm;tsUqqKqVUUYe]oclLH`RlYsE`YxTR>imGUwTMRxTPitQY]YdEKYHVPXyuXQu\\YedJ>DLKeOPqWRUuyhNO<rVUmZpqGUJ?mqFLxbunF`XtXy]qlBeX?lLnMOTdwBDSAdvvAqSTwfQKoxR\\Ipr]QWPPndKEXRfMLWymnuRDUNpEn]EVo`ocAPFURFdsEhr]ewY`NEYOlasZ@wfqwblWH@QWmlbTLUPuptLpxT<mjDdTceOGdk\\DwN`tNEUHhpkhoKAWbxOf<LcAV\\XoeXQSPWi`wQySnMkPitgmt:UQy<miaoEer]IKa]qSQmbUOrapDasQlTShWSql]hwEplBdq;qrWpjyauJUn^pKcUMJ\\ytYwixJ@uJCemldVDlYT<Qj=NwlTK=T[QwexoxLwbXnlLUy`W:IoMqSudodPoD\\xE\\RDHuaHTBMKkqsq\\Pn<vrAWq`sVHQMHk^\\qnmXYeP=uyqlLwYxNqWEqS?pncqSPyWF\\vI\\xn`qrxs[TvnhtIUMt@KUQmBxrF<nrURIMy>MN_evUXUhlxkUrdTlBlOqlryiUFqOOHV_IwN`m>yLX]WvMvIDypXJvLxCxqh=vSxVQ]kw<SrIJRiTNlyVxU<mofaW[hWCPyD\\rs=w[xj<hM:@WFYmqtkheRranwUKdtuwuxWaTAXJehkSTP`xJNqOVay;=VttJY\\YjAykYvyIyIyYx\\xJYRA\\Mj=JgIVBtM;xLiMqcqNhewPtLQTJOPJuQJZXKI=p;dlfDkkdjk]onHwu\\nAHU?qmlgnnWin@];i];AmNHxq@xR@sMvimP`hwjuG`DQZOHxrouKV^@_sYxaYNZFQr?X[IXahAaNIn@_crpiY?qW>mZIuawmG^bE^fYynIw]?ycyyyEF`kx`Nfa?v[:pfDv[NyumFsePuA>v=nhuhbsIkKOc;Yd:_[Z`u\\PtYXtcx\\IOuSIuC_ZyX^eiZVxgeWg=QoZXb[fcgWb[heQi]bWuX@h[PZs@mcxg[YhPXpxWrtFh]OniIs=gr[Pi=i_eXt`hemyaOAZYicqxoCo^LW^x`pY@mba`WQxcxslNcyxe[nvTY]XXeOoygPg]_lM@q^nf:oZuicZNpNI_xhqDfkUv_dO^TP\\qGwtaYuY]WTFgGJstE?WAUXrys_gEEcwdyU@]V^;biWOXdoyaOpHYZIt_QvreqZmU@qxc<WPTSaIpUaMkLuPdstHp>uOoMj\\@Mj<sH\\oeqLMLr=`Y=aS=mKceUuejreU^tthhkVLPfLXXXmFTwL`li<neupemt\\PjNYPeLJMlJEXP\\LVKHNhuWJQRODveQjiiuQquiHQKeYvuUkMpxIxgUsE]oDPleUOEUj;iTqxPqhoNYkx`eQ>xonysglyPa^noNNvWWqoohaAjcfp\\Ab[niRIgqohOpaXWfvH^Pgas@iBarKIiw?pjhhavoZFmHO\\b>qUi[\\^rnVxwPaKWsXw[Vit`w]qA_OFaehoghy?y_xGZt_x>Y\\I?hMX[Nojk^hy`y_y_YxhXIi]wrHhfrqh@Xq\\Ojn^qVxb`WsGy`YasZOdrIcKpjmnsrVZLPa^FZOXmCgwYPkf?li`]EayI__Vac@n^QAuWwsjonTPqtvrLp_qFZm@drnhnhog^mafaJ^cYHjiHq;Wu=V[qVqva\\ePaUIrOQrrntGqtpxs>Ge?@h=HxUqgROgmvpWhleVqbpgQn]mi\\[qjQHifIpAAjhwtfHe=>fQwdQwnnxab`[NVsBfv:yudynWf\\\\?an>iSifQHZrXZRisSX`A>fQ_fmgg<VnyNxBY^ZQ]=xZInZqF^x`dHhlXAkZawXFmBfc`gbIprM`h=Xd[wrjWa@wia@Z:PrrG_FFk`ixOgbuaxBQ^<xjrFjAobw_xJ@bsorFH]rO[jHqIwawadroxtudGf[GfdOgDKvDiXQiUAeSP@RFuPuXMSEQg]ucTSb@ugaTCIX=PVyhypYMp\\WRdOj=Ny<X\\Axf\\w@Qt_XSyDy^YlOXOQmsThPETnkevOxT<MqZ]oqmY\\]oJQM_HoMuSwdLYuXnHSHUn^qqwUyxYUOHXSpjg`KJTWgeWeLL[DWwLvIQQQ]j?TXOPsiHSA=y[\\mr@nYyOKMogEQkAU\\\\LnUxIUQ@@sMHJPYLcaVByM<aJE@SB=mPuVAuVrDVO<n;aRVyVtAtZLmEeRudYx@jblsmPtP]OTtlHdnxEtSqtCaQ]alplPolWhYODirlUOXPkAhsZ@WOYvGUwgEv>XxlHrEipF`yKap[UTk]Wb`RBIOTaYuDv<QJB]YWeMWMx^=ugqmXLLCqWKMmI\\UhXjqUUvmRadLIMSqqt:xRHIt_MsgDMipNIURWpkPpK[yoOdrTuXauTvDlB@VwynLemgeMF`QKHmfTtyxo?mXhiKC<mvpqgarbaNHhV_eVqeuoutgupWqtVauFLR=PmJHnEMSD=jcIWTuNlHKRAY:iYFMOyFi`ImanmrOv\\irEHhO>_ZP\\tyZGN]>YcNxtHxtgAfqNaY^vDol=vgKVmcAbZ?aSgb@>\\upvtirracaFmLam>QiMq]ZAa;``ZymgNdUPePf_DVy=FsdQZYHfTqgNAcWijiQiholpa]Zqw<X[KAq;_oyacvYhhAvbQa[_\\B`haQuCynV^`t?pjVjHhfsa]WOueNwDgeOX_sPpM?rWGoVHgFOhrIvAxevGx?yhYiIOYoQwukwrWvAuItIdl[EysyvYx;chSgGuAh=qC=si:[E^MuHiwpwUXmUH[dCkI<mg;[DuqtUuWKuV>mBksXhaUdywcTol]l\\QO_EYiPv\\@lC@tx\\reqtPYp:Mr=@RZ<rBDknDOcawfay@yPxHRRpKxun\\mv>Tj;]uwqmumw[ptStKBlpBxUKIsqyuyuUSqw]IYKyjuywyxYrAx[AMAlXumxfIuqiuquu@hKU\\nl]n`pjIHsbqK>Dryyy?XvFUv_LY]Ho:eWFYRCaLTuLW]XKinQpUdTNV`V=>x\\vw@qr@ipewtxivivishypYuY>iZIjavmvOhOQoOOrM`q?vkFI`Vf`d_t=x[x>oLQvhAca@nZhrQvpJHtv^eFiy<ac?okjh`QH\\sNxche@vfdOi:wwDvhBQe;F\\GvhSqf`QuhAduObEO[]f_Fwif^uOPpoOabgh?c^oGDWBOGGmcgA[CNau^uHQQeLIS]WhZgIfYSTcrsMUxGuT;We?CcET]CguaXYMU>eehSrQ?rrgd>KxtOCTQiVoCVQEFitBuFVqgS=DN?xJis?eewUs>UToQe`qr`QhhQe:=rYaEbar<aEZyDGChIQgVOYQcIDIriqCuaFlqh_qSAMIJSSRqXRyTKivnuhAmHC_iR?x?MuLgc_qiJWV_gHasSmiFLGfr_YXuIh[WoIUTcsMYTxqsr=tNkRgkYDevAUvt]T>cVUgUxoDEucTkV^guRagaIwl;W;GwRirH?Ca_B@;s<_y<GVn]YS[bjgVk;wwOu@mhQlPiPM=tOsPu^dolUsJIn=upexvmqR@uT[apbxO[DOs\\xJYROdYnqRc]RWlwZHxh\\PR]rihq]TOlqu>Ty>hocdu?xsQeUUyNj<vZExcYu<MQh@jrxn>mUx`RgQlb`v\\AKhIk?QvFlqmqxLHymyJfhUNpX>=tNijP=XdIYaYkxLTeIoKaKN\\wSHT?hpVaQ`QshHp@djBtJGLM>lU:MXwuvWxXxuyuyuilOhlN?xTkeUxpxoxok<qUPrMYugmLR@mDA^Yfinf\\Xy]x?y[Fv`fsEodf@e;Gm[alMocKGkQG]Y?mbWeoisUFk<puJhabGicxaLnmBgjEp\\gNZtoZbvwUypi^rC^hcyky_y]PoIAwKIxr_mqGqeqou`dvP]:_yv`qv>Z\\ok:n_vNwbXnh@q\\QkuwwwxhCQl_vgyhypnqLanA>xqGylivbyyOxdXGseGhxpppp\\whuGPub?cM?wLPc@P[;I[]`j[frgA`GgcGgcFX^CAeV`]:ouWHxa?tI_sBAqkWvJG]Vay[xjXNb=x_v@x<IhAi]AWeyotiN_dNjfaxSyfYHnxPvoYuPf\\nimlHZ;nZWw\\pw[aQlP_mL`nKgx>__PgdSG]SNgBpqlYiyInwYt@h^;Fp]NyHNwevnipsA^eTyibwa=Qh=ypNIg=njoytuij;hfEwZONkB`fkg\\Oh\\@A\\:qhKNx?>roakJpdy^nhHo>OqgovOy\\D?kfAkDQwD@s;pidHykwllVoN_vCObVGeUG^^`eMH`df]lNiB@sQQ_HW]RoayPbUAmanZCPj\\PhkprKfZ\\^mQn\\UhySfcTp_@fkV>_Wpd_Qppy\\IPwIwoMQj\\@sBIh]`bo`]hPoTPcKG]LQ[:YnoPwtPoTPdY`xmgt?wq;iyDQlONhQGrivmkP^Jo_WIfwQnIAjxNnRAlXOo?OfyHx]fkl@`hgdmnfR`cRf^]>sOvxA>neF[b@xLF_efZhvmMAqiil^HuuiliN_wvgNXxxfx>Nww^nHAZaFo`?ZdwrUqs>w[v`j^Ae?nr\\FwaP]`Wuqxd_^tBIhDiugPamGiUpvKAqyogsQwLqk<W`ZViUhZ`Gt;XyCXjIpunpfoGqRa_nQrDpr`GtKf[N>uHnfSyqGow=`m_irX>d<npuVoigqWw`iipBxc=`jOQgAPkEWwLYv@ImliZN@dw>ZPOvRQ`FVjhFstoo^QsHO`?fnpGdTVtlPplrF?R>ggggg:CYb?BVOsBKvoeXouItItI?Baei[QEqWU:QE:gE;swdKGdKGeSGQigUutWiuGoXHSIfAH:Yi`qv`mrmCrworFGEM=UR=SrksBcdd[c;OTgSf<qbGSEJEyOyTYeFUKuKGIoCITCiUki\\qcQeUoetvGqK\\lY=Y[ijrIKRalkpWbMMDPROdLZpPHHWYtSUtXd=nkat:@prDQf=ujPytQYD`JY`YlIkBQyC<J;TP`UJ>qMtdr\\IwvHmAtyyYK@MXxaysQO:lsBIl]DQxAlt<NP@V`@O;EP@esPEJd]tFET=pKkaWTapcuqtiti@PQyVXHY`QuoXWkDq^eybxSqTJpXnreypursTnS=stALMuNrijSAmuIncdMvHN=]LemkuXvbDTR`SoLNDYyP=kUauamU_ivn=J:>ZC_b;_dLn\\_w`qyctF[UapoWub^yxg`??[g^vNpiyxm;nmbXsjv_[Y\\ePewi]<acAvi@nyaNl_FpnglI_kn>rTQqVfuJahYydoGhT@_bnwmyyRYyH>ZeNsewyiofhguHq\\Zw\\cNwLawb_rhNjOViI@eXh^kN]_N]myk@yl\\Yx?Qlbx_@GkIarXxn@AnKWjTV]kxdNfZf?^\\`\\?ilHqxUwf`yyUHygiyRnhSY[fVqbVssIqXovHiy`owVY`YamiyhHyhxXhLT@qWCOYV_i^CDiohWgEv_SgqW_Mikus@QCaorEyBmOsGcENyTw=wwEYeWiv?f^wS[yYPWY_CT]OsrChngGGecgYiOyvuwUvGiZ]dKEfV_sDQcFer;cD_sV=_YUkX;wdR[stosyoyl_du;uHuceyDd;H]Ogk?YVWfpyCcoDQed_UWpMGJEvrMG[uREShUiUKUW<ACCSuC?Td_xQgdK_VkwEdSdcKIh=R`CtbOCmKWR]fnAg\\aXcMteownYeRkE[SE@=s:AY_qw?QslKH?kYkoD_abf?HaEt]GbsicXiwZIwGScMEIkmD^GwnmdJqePiXCeXtEGO;GHEDF[f]wrWUiOIgy?wRwTs_ySMYkoCaqUomfjcE\\WF=mv`UXpWy?aFFSsEmDSgrB?EDsRwOyGqXpCehMTK?hlMe`eiwQyxWbA?IwuBTOHMKxWmB@UwsUhQsYsITSEfqKgS=ToYRq=BeustucR]rMevXmtZST?]v[QDf]EQ[CPoy[EfwWvHWIHSuFgX@SS@sd?OSyEy_yd;URk[S:?s<gxLyU=Acmqs<eVRKfCwS;IiiuiwqxEoGt?CViYFAek;II;w]YVIgIpYuYqyPcW:QgqquuuWOWSO]ciQVvaCrQICyXVyrXWYhIC\\quJAtjSYpaW@sV`yhC=sZCr;uysysyMboWtY[S@Uc]ueumOFEnBxO?An@uVmlu\\yJPeTOElCPXXMmQenaMokqLNxxTYWihUkPV?yQxIxIXUhEq?tq?TQiIqaqMjpXRyNrIjr`Q`dmFlVQ]un=vDyLilUFAm\\\\YKqMu]w[XXqXJnPjRmLDLneuvrTt=qOTMxXiMl=s[TRApKWxPimMbTQyuLwTWjXtPxOYmk`=p==VYEv]hxhhNZxvHUyuQqeXXTdwBhV@iJMdT?HnpPyBEuF=ONlKUDLiej_hWSHVi=omPRPMsHmjwLldiS`tj\\lUIakA`yhPLiUk[\\kRDL@=m:hpqPqZLr?aOB`lFqN]mTFysDEwZqscPvbxMKpmH`R]LOeirRAofPOhDWUuyJhpmpW\\DVNlRwQPclyn@jWXOnHvrmKi@SFyUYaWaLMQupP]jd\\TCxxWIMaTMpTRdlLlYU_eM_qLP<yOipTMU<APb@VKHrF<jdxx]hT]HXEqSqPUK@o<DXq]mfPpwTs=QWmHmjilr\\rGmNG@T>er=qkMPXVurlqYBlO>ipjYT]<QOxYglnDEOi\\Ppln>YvxhVwAJyIxXuVH@UxlueaKYEWqaJ@TkXPwGlmSUUmiwHYrqHRQTYqeNDPLfXl_xXrhjNuYFhXqPVkPVUYyQEUOYjQhLGDMRpyNdm\\@VpaOoIuxlvKpldmWLeR_PuUINrqXhMnY<PT\\on=w[hnS\\O@eYsIujAOr\\JxLTEppYDqmIvAHrpQrmlTfyn:mpwqpPhO\\\\Lf]MQ\\KdUY`XSAuuuDx>YLY@Y\\IKJDuUtWvn`UagmxwxXyxWxGy`fXtnGu_wlKwpmpZdFcU?hKX_oK?XXhhQ_XtaEv<ijulwrXvYtyryR@<oFLMn<Wuiwqxt>uUQqr`xsBUpXIt]xR=XwMxJIAmkTVihqpQN?htyDRYdnQmq<Xj<aKrpvTXWreWrPxCTL`<xU=XrpxqdX`YSHlsItJEaQG\\Mr<lYiJh`KtqKh`Y<IKa<PHxMViqlPpLPjoYOoapdQq;PQ>mmaavmlMfXxdhP:pSAxs\\QStyJ\\avVUV:hwmmsstRqxv_IRR@ytdmrXXw`YZHqsHmyTL\\Lr;PQCqNIykG<mIUwGUN[hJrHOveqg`vqpneiwbYq_MQFHXIHMV\\vVumvPu@\\pWXvaEXqLR[Avr<MDEOQaPVdLp@qPYOdyn?USOTYedK<qQWXUSTxPPNN]Vd=rTYlktq>dKFapJ]shdSdYtrHVyPuQPp\\lV[UMA\\KcPy^UTkxLjUnDMrO=pL\\tMlkdTxlaouuXiTvyiLriXKuQnuJqlwf`ur=OVtK?uQjqxA`qYml:ymEXQ_?wHVr;Qk^^yMvlN^dZyhn>id`]AWimncCvyapl@_auFrpPdRfpgg\\lYomGoVXfYvnngd;_llwsty]RqdUV\\:@efviwVgNyl:GoKNtNF^FGZUGcywjYxuc>dSipqFbV@e<pu?HpAv\\P`lcVnRG][Aev@qggux_q:_Zmiw<wlp^[l?^i_]GgfXqyUyuNWt<@pcIa>@`@hwvnvZfpuyx>Of<p]S>xFWxhuuWgeWgkgy?yDY]sWWIq_f^_vIyYxYHycrpSfS=wmqSqmUcwdnId[gE?eR?uRVCX>EYsEIbMvfGUmOwdQwj=FHYTUUUu]tKuRcgxOkv=Uv]scvKdssV:qvIoItAWtevCycseCTOv=gh=gdl[HyicqkuZmEmhr?YqfQpEdMOewFPkv]mltXHAVr@KH\\yuyuyquixUy<TpylYmYS\\YtYlImQ;YruhwpXuHemtdLyHl^YMVLq`pn`tsTpOVlKKdJe`RcYJoEmC]UstVX<pwuywyxYaYmisrIKrQkCXLaLvO`PWHORIM=TRmxR_iS<DruLTKET;arr\\mGxn[IthAOCaNkppwtJSevtakUHTCpjItywtxwyJylYiqmIynYiysayupQVXYaYymtWweWXiwiyOymW_eu\\QQTdNHLQpmO@uuGiTSPLfmJBXlR=p?<rgAV_Mq`QMIljcyY<uY<hTR]xxUReATuHtldk;Ds@epZEjD]pZ=mohsjpQI=sC\\VreLY\\y`EjpYlK`rj]vpAYvynmegyNvyOlTomlWoDOsmVnqa[QglAPaViisXd<hcAgiwgiSGeS>klavCYlkhy\\YkiNjLPj`XjevmyoysynXPidnpCG`SNcKIeF^`cq^WPpZ@j=yjIvBGRPIX<IemsVhCUl_BuCVR;tQYea?HYcIbAFDyDY]YkYfIoIt_XcQTfayAyIxIBtqCeQbkOedsd`aeIwCGOcQuUwexYwyvyFQ=c\\YtKYfAUrx=tQUkQmmJumHAUfLuIXMqlk?ak`hSUpjq`sC`qZEr<XJH<Q:HKNHqdtLpYRXTr`HocHknEqWmXE]Uv\\JEApMdmSdM<UrgARE]MlYtYpynUmgmpKEqjPX@\\O?dOY`ypDKfun@pj@HwMyn]YUZpUjYUjMuhQUKMu_HlEiTs`SlTWcLppLpeaJ@lPyMp\\TwwpRs`JYxo;XMOlnqEuG<o?uYA]tkYWH<UXiwb@Xe]y`pqPis@]XUTspYLLYywDP^yKPHNe@WGASTHTkqv^PXMMsFPYXHX]lqEamLevrEQVmttiQCtwlToDTOReJ?AT?PkxAYRxoKtY_=VPyoD@vY\\TLPxGEobxXG\\XqyV\\eYvhwFUmc@vw@Y?<tOEUjPpDHLPytFquV]vtqUmuybTONDUmlLnhOV<xtqj;IKBtlP`nqQWtlVuMtZ\\rW=Nrqk\\Hn[=xBHl@xTZqtD]NTLkylYIeVLqy\\prR@s`YUAtN_ytDHVRXQuDtLasN@rXasb]ob\\UKEN<PLnAL:an;AQyxxwxwWIXAiMrUyNYTIeyeyUyQN;]uyuywiXs@tvaWUUj[UPZhlulgA?xf?d@yZY^iJpcYQv\\QvMocsfZWgmKNtWH\\bOhD_qXOicini^qjQZBXarFxIxivYv?X[Qny^y^yFwYyqy?`MIpHG_=ntxossvvJPd=`u]WiuhwpX[lQuhvfD?f_PtkVf@aqvQxEYd``c[`l:Hx]yrmN\\@Hv@?`LNxincOql:Vlt^ZYviwFe;iyri\\AdWkRxuI\\]rB[W]qB?]YbmGhww?oIguVxQXveBhwysyvYwrp[gcwivivicF_cFjOsZ]WbQxFMGZaiQ[g_UVrohlWdDasGgdg]gw;dMgseocdEYoOSG_uW=x]AvOwDaswDMhXEFhQB;=V:_T;SvSytq_smSt`osweWVqHKyHbOYQYSx]WX]xFKuoiXU_tDyG:iBwwSwqHcsiG=sJcdwiwjoXWMbXGqtESVqqR=qiXt\\yuOTpo@YRMsBtLQhlAQKD@QbUq`xr;PRgmS[DMO\\JU`sH]UQ\\nmumwmx[mOQ<TgMPi=t_iuquuWpwpMt>ay>iUQhw^MN<YjIlQrapMqSuYxYxyFmvGhmj@LxAxAxQ:hP`IVgQyL@R[ujHdMDXlFymytmspuixqxQy=pKt<K@`jHmyBayeANoxWvHx@iXQiUAmtH\\UvEx?yPVAX=pyDdU:]TQ]KgawEePEhKlHVLivMxSxDM>imxuxdPod\\WVLYbInZPurpJJqW@<kmdktmyb<N`hW[tWPEj:\\XWMKdQjElOrMycynseNJ@rmtsvTjiXVGQU`Dj;yl\\nfyHrC?xeAaMNtSea]ekmRWeUWYeimiCoHj_rR?X<_gwWHCyxrSEPewlGiqwbYggRcECyc<KWekFBuIwgu[AhpgHWMYucvuKf]tPslpwtku]tqQpq\\Rv@oqQTMYl^UoYqNhyttdWuXUk`kylmtuwThqOaod@Q^plOlOSedcfmHabFv^WPsNnjuArtHc@xq<yt^fgIAno_qDpe`GhLY_w_\\DqrmHmfyl=wdnY]BxwmhsJ_^DwqrxqNFogOcZNoAvftFrmWvoxueV`gwq;ykbwvW?[efoaIepXjh>yJxamAf?ot^ovkWu\\@u]oiUntCg`oI[fv`Jox?_ahQZ;q\\kN`QvkVIrUOqXhcdVrlamAfkGNo^`d>VxgYwT`u\\wooPkX^inqelFuRvx\\hmVptPPygqbgYndVo>od<p]<VhL`wjXrH>i_gcYn^I_]n>gJFy\\FivO_OPsYveK^sl^[D`[xGeMWd=AbQnZq@jgPrj>fpNlvVc?G]dVrZamEy_y`q\\Pn\\Qmeoo[Xhwyly`y_isqvuvXuhWq[wisGisnqbinQpet?x;yZa_sRH`aosVndDOumwswvssvvVN\\ngeg>cMvxvQnBNqYh`wwfpPhVHmeXfCQukhcLas>NwjvgTd`kvgUwfavFOrAUbAkEr=v=yCy[b>Ge?uBasbR=xW=u:UhakerMRYKX\\IcakCX[IRuR<AvT;RxGxg;ii;VsagYmYUiWqgSUoHGsuXIevCi@ydsyupEu_uDDyEqcEaOtoMDOmW;egvkCe=DqkRfyhqUeieuIAI]?wPuHAMYEKTgusf;xByXBYgRQwgystUEogH][TYUrEIW=mhHGVQmTGMCkuDBKbBKw>ghlMiA[IhqS;gvOCun[ePSIM]W;Ef^kVviwKgua[SJEVi=EpcYh?WuqEqmbamr?]gUWCFat@ITMWnOTOP]TxEQmPNNHSu<VmqW\\`p@ewslLqLp[pqs`pVYVKESYyvLTstqmN@pr]u?TmDLxo=xshwqxuxYnIpQ<tM_EYKYQhAq=\\sUUxWMpp=P?qslTPlEl_TxHTPDPYFAmkdyuyxAds?Is;iSIaQmaSfyn;<lAXN\\YTPqy=iTGDMl\\vAuQtILBXQ=UuYYYiiQn<YhIqaAXW@Ni@QO<OupXnXp@QwipYoYOJYTWTsX\\keHUYxY]eMklwV]KDXSTtQx]QXhseuowplK]wQhUpEMxeMM]Sd`U;IRnTVp@yoMJYDt:HYqiuqERVISMilYDR>auHPqhhOGtnelorPvaxQwIO>@J@ystqjTQM[ipktNwyvYxYHDK^IPR<uFtNydvNXTHhQpAUhatC@jtLK[UxPpUCILVuWMhxMUj[QwxHvN<M_akHMSG`JyESFIxVQuHHwCxPdAyweP\\iu]PTUyp<eyM\\Lrlm^Tpxaw_]rQinEayB@xxpYcmt<uyETMEPMWPNq`wBPTiYy]hsrpk@@LXDJq`nOdUVaWExjC`VVttkhyVQm`mrImOcmNN\\Ps=sYPPGql[uS@ykmxKahQwtqDyMgUswyKQpLrUyuIyw@nslvweVKTJ[IQuiwuatmlYnPq_YS:Qx]\\tg@bTPxeFx?GmSIsYfqg`gFy]qiyxOr:pxphrjoiqAvZwuEG_h@\\qGbiQ^qqiKvw\\QrxnfdhrIw\\SNisIwaohyVwy^blvut>wbwtsf^Ph_UoxNYdIgy:qg@AyShhWQj\\@uHXyW>npouSNqt`pf@c>i^bEfsbnYuYqypQrEsG^wcV[R>ufn]xbKRh?Ha;UZuVEWToeGycwugghogXEileFqGrGuhUqWu[YDQTAEy=eV:QuKqbQetqwWYIwMyfYaXMiSreUj?V;;sk;SdYsisiVqcdoTPmThqhUqWasevMxkurWsf<ct[eHIeFOetoCSpKw[creAh[UrR[HIkFGWcYqVUgW@wCYkCligy=CBgHsyXa=V_ORhUd;YDfgcdWBo=x=CF^YFI_IlQvEwGh?gb?rsII?Cfi_evqe_UTsMgZIutKBDyYIiIqaIGyBfCHOWs`CuSiYN[BvQVsSS;YV^qUkURiwG?MXxMHIIEIkYgEePgfWgVDaV_QtFOH_St=?DqEbZ;fH]dH=xT;uMcwJYcs;R_cwN]g^?RgIXDmVdav>Gi^[V_kCjuiNUgaYgdgIvWxr;E@;fy]ik;F`]BDiSEKiEgeuqIlqhbSRYiCL?xoaYvSvZyG]ySdOI`wTiqhiQdimxuWvy]iKMF^oTaKSWSiYauKUIhIHtuvnwiVCFLqTkstqIFSEi;YRCeiUEr`CRaiVy;yZYbYAY]ictQytmF[]vN;DyKtOmxBUy:qFScFlMvCnfFAm>O^;Xb:ggs`wLWigGxtVipaw_YsQXpfP\\b?_MHr]Hjh@rGxgf_gf_rpGisGqH`yPWgQW[squqqqqAx=y[=hpyivivI]ikqR_yfLeCtacicinQtY[yZyBukwrWFCeghWrdGtkoFCuRZyRwWyhYij_HJqBPWbKWBymCxGxjWrHSeoSWPkgV[Ht?ir?eOqfNmGBaFMGsvwyxYyeoTgOVkSFW[W=muIwuocWTahomYissIwTBkDU;ImeTOeTYoIw]h>;IQIDvOXVWxMySycbVaHUws]IGAii=IujmSwohOuDcgr@YuiTqsHuElyhLOdLwXQjDem;QKHYLUXWm`voTQf@RuqoFxk`xMgimudm_xUF@RU@lTUlghni=N^amAdlbPLYAN]IJXxu^@PBAL=eMbQVU`XsLPiHKh]KmYJtQusXsyDTylwDhvHqq`yn@nkgA_eh`qGqgImnPhQYqpivRXgwYtuYpyV[kw\\nQ_ro[W?o>Pxl_[aGmfXmDAojgbFg_sqbGVtGNui?[pv[]OZS?pmpeW_qno`MfZC>mqvp_HioxnxXpdN\\HxfgatHYqfQnlg`IiZ<p]?>_]vtfnZMqmnonL_lYxrj?r:HZOitOa^r`kNG[L@cVhoiwuxTgeWusTqoIsEUSEEyGdewTmyUXqhUpL>dy^YlImr[IpR]O_YjSyW@`KSLrv\\x^PxgYOThWR<xm=xOTjAtK@tYOYlZ]KguvqLvAqxeytIxTU\\oZ`rYxUTMUDxuLon@Vu;aoiNuGoad_tbpsBXa?nstD]eclyUd[v@Us;uUCog@ouK[egCtqobYErYcbEhypYueiV:DLctng<L\\qOJ\\YQ<LoLNXaSYhvfDs^ljAiKjux<qnPdPeYNolvbuSgXQDapN=uYEmXp`UilRvxhq`VPjM?]@?roVfTN_VFhVwwYQv`pdOvkcxpYWokNdVPhWo`\\wrgwbfA\\SFa<gfmH\\AAs`PdDycVFpPacEhv>fmdNZ;w\\ZX_qOgpPqXHZl>pBN`R_]n>m?ibu_uSXr>Wd=AfKnglOvpG`m^[pHeayx`Xtc?pmoZu?oHFuJIif>tk@jqqj=HlvN_JHf`hebg[yfrA?qrgcmgpK@\\lIpphghAoHFhuf]CXaipl?`gsit;Qs_imWOgJ?dsotWqZQa^ZavTioHix;amvFtpvcXhb=QZ;@\\qGjZWx[fmbGkj`dd_qj^uLQlFo`e`uLA_bXgdhgiNb=A`wip;OvrwuV>r:fq`goO?avPv]xkDyatw_PV_PGwPgf?whVyhyghnIxXiqBfjmHon?_dFcqiZwnfUov\\yq=hhvWa]>HqUTIuSKIl[TWcxhWcROtT=tVaTYSeA?b@ciEIUyEIZoG:afmgTh=S`GyHADFiBCmGH;Wpmge_fKOTeEvbQHboWHSWdCg?[GP_IkgxVmud]X:QynwbUqGI[SauiWwiEwvFkU=SuAsSLwUxQB;?DqEj`UVBPOLtOLUyFPUvdnt=ydySjXnlDmLmTVeVMlUGuVEXNMHJOlWrqUZERqQrfUsV@vGtmpHsvAJXqk`UrGHmDiS_hOVQj@pv`yYvlTs@Y`uMF\\p@eTldtN`uauxlIjOXoMEsLPnL@TDIx<IuwesNDKjinnxm[=R`xp?Tm`=RhhrpHSkTxupu=pkpAvHqXvETYHQRAQbEN>TRIytUXkJHxeaW@lQwpsjhXWtOXijfAO;ASX@nn\\pu\\UyQN<HUOyP>xVMALdawALWUAV]posXvQpXPxQxXvsTj@HUuXMg=Sr`n:=ku>vu@`lViKYwwOyNflpIgSowPnjvgtvvymidEU_iyegS=yxpWwjsXkuhimG>QrKSUsGfjwgjMtcygQkGTKfNmtOmcUgCUCx<gwqwrh=hpUuo]gb?G_CRIQDqmWaMHSKIUWxfWlw<qThjM@K@>cAV_gP`UGiJpQuBvoSbOriisYkgMIeusUmmTgiwhQRDMXX=Bm[hbuUxSr_htV@u`MQBAnquUUIKgAUipLNmY==ObILILknXpStKXeTJapRAxtppTMSv\\mMhLNpMq\\r]qOJLvhbw]ff?DN_Xr_GTCIpAc<YUYARIsglShdigaMwaqeNmUXyFNccr_s=SwTGVv?RCwb>uXquGmKvJSSQEiY?iGysP[eoQX;SEkuFcIYMyyoaxBQi?OsLEFAesjWsquEy]UdOgYwdEOUSGgfwvMuXLGU]?uuKsjySZubceVCErNCr`OFBuHmyVc]ClsIw]Wa]VTuwfuh^IdA_BEIFcAvMgxtWYochGkvKeUastfQRp]DXKRIQIqAxFIrZ?fZ=xFofWiw<Cb<_DvgU:aSXSrc;I;?dYQYcAejsb<Cs]ciHqI\\Ignyf<Qu?SUh[V_wdZwT;IXguBFsgj?XNAy]cTcAT_qV=Iv<qtnQsiMwdQulkdngty?vbQFCiYqsDYwrW?XwKEXOUoOhsIcy]hncHjOHYeVoARoMw>?hSKGBOYeOs\\GVioCqGEMsb<?fACcuoCaAFE[sf=RhSFp_s`Uhv;HK?Sn]VD_VRAW:oVVqWAEYoCF`MrM_IYYgWQw^MijGHnQTKAV?YTXuSQ[v:uUuovJAiLKIQiXFuYu?FreEsosbUYh[x^aS?cykAu=avgCr]utCqeoyT^]Yf=soYWCYxDSxR]UWcrhWTywhE=BYwIY[i:=xWmbF;d<ouOIfG?haohEOCN=sDqHvUVbODEqWb;hFGRc_hDAuHmrpSRPwdGmrUCBVUTVoGw;rJihW]VnGyWIEUowtmIqqr@_tnyXDmdIicaUeRkfN?It]iTKIJqTkaTpcUZEYgeebOxLwsjaHxYWhorg?YViBWYbpUsPSxrsU=owpAVm?VpQdpmSVqch[vHoE_ix@ktqWSj?iHYxfwx^CynaVZeicOwjCyJ[IgmeZoxHwuxGFecSu?XkiEi=TauuLqG^qFriGgQrViFY_cZUCPAV\\KB;uG^ocXwH?iC?UsVshGIXoSvgyhNMHKqv_EhgeRqsc>?iimG^KtcsG=qiceVlGefmhKaHfKCy_ff_T_eyNkD@mgpqe[_SKUS<Cb:=NJLvh<wwiMtTv@eMOHsTPOL]n@`KUmV>hqBUWQiwmtwEdptHQLtkbTrOEtjPk>`W=isRlpB]oA]WaTr<ymcQOMYoXhwwYT^ej\\vbGiyv@gtasJHl>yjeP^_VsF@gEqo]fdYPjjXfP>oBVuUqib_qCgu^gpOq]Nfa_>\\B^Z<FjJvh;wg=hva@iFvrE^lONdoXa>OnxGr_WbO^lNpvdh^iHjgAcFXy`QbdFoVVewXypakQoejQ^O`mPWbSfiqiadWu[VupHaRIauIvUOdcGoYP_J>[>:xt]TlpIqrxl>aNfPyQhsq`ULXxDiroMWXylXQSe`SDqpWtm`LQ@HN[UtwLjfTLDAuPlyfUT[ysEhSDQQdYt?Tug@UfeRDhlUhUr<VrPykinPeRsxlRyraYwbmllQwTQQk\\PpeUvIvpLviLwruYHPPWDtQMJ;@RZJJ\\xT<tiUmGanMhsGMob@oj`nfTwaDMbeWhxToeXDIpG@T>YUoDWmtmu`JsxW@YQMatbpvx=uduteTPV@XVuNeUo\\PV?aKnEQ=LkMPN[@SR]v_<LB\\J<F^hQjXqkrHmofdbneVV_dfDWiOeKZ]N`=ojPo;tUY]Taap`\\leAUDaPmpWBIUe@Pa@nUDVmlv?IPkyt`iYq]mOYpaUoimQRLLkdlKhkAPr?xJFXxBXqeMmHHvTmMkxSddllaohtuqtwu]uMaScTvYPN]`l><tB\\J<Dj:=[;@nQFd@wngFfFP`FgtixiyHZ=FpS`ctplSNdEOwP__YorVn^XXgQAdLpq^W`dO]mgtDi\\DAkRFnxGkPqZ_Qu=vZIFx\\puwXi[G`]`kUXoUa^J>[>JjpSBMOMERiPRNAS\\iP]]rjQMh\\wyIRnxyhHm<@mOlksXxOYQmyvX=xXuuutyIeKTlvOqUlUrZAxP=uKqxeUU>YYjitbAxTIJWtKTUYyxm`DmuPJn`tkyqLqKRusP=xUTQuPLhAPQamFHqLIUD]rHiN\\ETXmuneLf]vwMwypxvMvtaN^UMOEXQYycqjyqQ_=O]LYyyyG<yayuNPWjUpGTS\\YJqhQZATmAvMdTYPxZywdLvyDvoLSc@RgHykDT_DSqiJeQpOiWUhnsmPjTjr@RZ<uDInEQP:UY>Xr[UXEUX[IKkuLnqO^MpXQVAUR_PpplMAIj=pJddLMmW]xRJdUipodxw_irAIOO=LAURSemTiunLsKmlcAqHTxlXuctPeEu[UN^pQvuokexD@Mb\\QhmkcEowtxCxlOHs>xmZXMX@YyPy`TouMprILpAS;UY;@RJIMLHs^\\X?=ONLVKXvnxKbAlR]O`\\rW=NRauBQOMYSxLVd@M@mwRPOYDP>eRDdunhWbpJJix<=Toqn@tNNPXDdmnxqndtF<YchYADXH`S@\\qfaxEXl\\yjt\\VJ`We=Wn=u_YNgYQwXuLirA\\qfIu:IQg@rK]oLLWSDjQqKyHtClMeyrwuRRAsB\\TOPKVmne]oSIVoaPSmx`tLVUOciW^`OOpKSiLCtsAtoxLYalmTerEpmKEui=sbiuO=sNhp;QjhENhI\\B>ytFkuV_XYmLfZa>\\BNa;Gb;Gbr^]`po:veAVjAp[SQjhxeBXqZxd[^\\CvfLIgQIhfnK=GfOhCqHXWWb_XdCf`ysquRGOHGscOSIl?s]Wi[UYLwWmgHVSU?Qf[ctdodHuYakuj_FLkGJEwP;erSIIouUeDrEyoienWV@ivH;CtoCEQhDSCECI:shpoh\\UEViE=Mh]cFT[B<CRaUvNgWQitOIvOoDx[d@[wy=wGCFhQB;yhkARdSs?GxfQehgcXiWpCip<rpUkQ\\Yl\\Q^IXqAtDhJdEramTtHR?XNXEWIipQunphjNxJVAr;uuppsR=uxYOu<qGXjgYNS@rU@jYdQL\\y\\uVGYWNyPuisHHNmIRlPLvqrJQMiTQIUVlAPXPra\\P@QUQium`RsTvyeoaePsLO_]nkYR=YKy`ouHy@HlpUWf\\lgMpEQkuqwj<v\\XkOeTYuw<argLORav;<UyPXTXQS`S<hsiER]=p:=NRasZ]Uu\\x@]NLDS_PT[@TBptxqllTTaTJa@nQErEtWodqRtxfmNe`Ma@qfxS[ITalLQ`TcTrDQqdLMeLTK@KRUqq<uulo^IXiqX>]ojpsIxup@UjDmReqnpOFhWuTww]ty=V;<UuMnOyNhQNjDr`hKZmnshwpXu`LLCdvuuuwTtqLM?APfLlK<K>dm[HqsHYahmpMvBdvtpWtdmPUUNQwpETjMjXeJyIum\\QiHqSLsReNXhWw]rKeXMumgHUjiTBymnPNx<J:<L:`^;_d[pbrHgoIsAOghQbO_dL?dWOw?^iuphXXp?VnIIkfo_kGn@QqvPx;XwCvosFbAOmTq\\YvghHynXf>hiAygCngA_y]Na^nm;qoZ?lux]oYqSOs>Qmhxx=Xl[w_HonNqhNXmKw]y?pa?soAaOXwHY_ehuwwswNdPGbMHwPoffg^e>[?Vm@vrkouwwxWYsivqVVbiO_OPrUooIg\\IXq:?^ba[?gb?W`aos>qZnqjPw\\<_u?NjiGo=wjvx^jVmgWnkh_c`bS?avPhCytXFbq^d\\FtNAyDyaMVahq`bwsw`kThw>_eWqkFO`Snk>_[EaxSPqSweQwdpfwoqr@h^?qqsGtaxgyg`f?abaikGb[PcTQ@ICpCDPgVSqhwcVDadPodPcWtWH^iUZ;DBKx:[dWofxMFK?vd?ECcdK;Cxgc;_uoExQ_HOmHfOwOGdDorOEX;AfmosEUIhOhDKsFSfd[WRuyqyctWShsHWUrGUuDqhNWeuYTemyVSruYhsyfPay?OTcAdgubWsRyiRwyiRwyQsvYWi`ycaWXgaCF]VbCCvOYAEugur@_yySsoqyFcvwIgFMRSISIITwoxYGwyIUxyURyyE?yymeuiuKmbwovIWYv_ViqUxwXxIyQEv@_iyoE@=IT=fF?T]OTX=GFQc`uxSwDOaxQWgfmFKITkYtIwTA[wKshG?W@EgRWtPWDA=FRAH^SdCmR`OXNgB;uVnUi`ewVIG<ODB[Bs=RaQiHGg=qBnCsP[vkuD\\qGbiXjeEHcu[ugduc[_S]?g^_rpeuNmfOYEMiUO_SnkVLIS_Ai@=GQgEksDcQv_IYq]dMwVbyCA_iNycSagUOSsGwnwDqgS\\?V>kyTaX=wxQGhwkOfiRxup_\\mpEXBHusPjjPRXMomauIDx\\lcogmV_rG^ywwr:FZly\\hpexPn_HgO_jEIgGftiPq@Gm`oZpQl_xwL@bjHZ=fliI[]QxMagpVk[n`XvkE@e>NZ;wlCXa@_f_yn@`pfVkhxxgfvti^NobJYuRWaXOcF?xWg\\a_`rXmoW^DQ[QfnmFkbhvZXsiwmGOi>@ioQ[vNpdnd^Idow_`nuEW_h?]HxydOadgcxnlpxbWyvSHg_OifNaNFp\\VgrYhPqeEaZHnrux\\TWg\\?t=Itbxs;O^hxldFhGIqmprTxtRHgtpaOwxOXcBw_YheeV`F?^vga[GatwiaGaTioHO_jpxB>nDVr[qipxpR?dGQybpfTYm[?ecndkWbTa_gY`ZVp=gg^@aTNgDWoJ_aSnsTOsD@cIh\\f_baQxLop?WnKYlHOac_tbHd<iu?NZ;wtZWup__PVc_PdCaflpppp\\TgfENsdV^>ieJYuRXqaywo`oFO_OnKMxrqYOiHKGB]ct\\Iuhgud]VKaF[OFOkuDASvcfZGvcacQ]CBwSfWfVSrk_GM_cs;soec:MHA=Ho]E^=yACfc=sDKXcihBWYpSeGcb<eWSefwygjYSEogw_Gm;R`gwpsRnwTDmVgafqkuhewVytY=vluYUit@ccGwWCIYJkCqgU_mFeoeuMYKaiIobA]COgWl]e<cHfuhBEcq_URACEOuK[Xw=io_Geof`ofyuyxQTXcTZ;DnEdb;yoQunWI:EyK?Y?cB?KRViB<gsxkgUoeYIuTEi\\[IqmcdEWKEfJwdYkg_Cg\\gdKSgVEigoY>Sc]_c@exLYSd?FhOcD_IdcUN=fdKGO]I@KfgEbUWvyUf=Cy_mblAS>eR\\WWlCg=_f@SvXMIlgvNMS?MFP[C=SuPmi[CVUoeEKuH;yJiEQQtPGR^SWiGIIGeeGuDwWkOIrMBvqH?Kc_ifvyHhgfIIgvQGBmhTawFqFOQgPwGQUx`AgiMwNYeyAgGcYgOfUQgNeuaSbqAuy]yraR^KDlKr[AYRKtBGi[URlIRDkHHQGfUsOSbKsTRUi:=FbQHn=VFotdSUDSWQKvh;w??XNgWgsUpyguuwGwsXGdHmhPobgsrkwxIAuS_xqCvpwRoCdC]hvmXayypctiOUhyF:EcoIwMEuiOINMTBKcfabGAX^hPSQuHhkmiX;EWsuqdQm;XjAtlQ]T@Pr[tJNPMVLrndWYipYIPc\\VNQpVTQUuw^UrK@SYHL=il[MjgpVf=mADPyam^tM`QMHyw?iwrErtlMSuXVuQ:xrJUwGhqmUjyaYeHp]woXHyhYaSYq`fnMHswQeypxhXasi\\XobFPuWggyhq=FisIpwnp]We@@\\iFr@W^UhslG]ShVih[MSGsG;?RjGdjgY:UYbixcogICCOGDBTKjiQdInjUV\\pXhyn=YwyTxDqy^TRPHMOmRK=uflSbpNjur<UT?hK]urimVsEPm\\nFiS@PyDyPuhqNlOFxRSuPg`uOIpwtPkHLlQJ_]mFxsLhKiHpMhw>qoi@ThmpBAKQ\\xYqUWPQ;exeyWP\\RGao]im;YyttwOQXvywdUxQxnwLpXLxL\\cKVb?QvdPpNg\\Pfpk^i]XreX]XWx@axII]kye]oifYqY^l\\Wxq@yhiwXv^EIxRAjFOojGtuTkEGdities`Mf[SgJeej]fTkIRih\\IGByDLWc@OvCui@Yg>EGEkH:KYtSI^YFr;BE?X>KB;qR;Qx[AIHSTNEbiWtK;h__Uy?DqERiQEZiT`[g<QG^iI>oEMeH]?f?qgQ;ixOTSCXMATSsrq=XuuSbMsausV=UdAGqciPIctCGFaVrEbkkGr?YZceEwypWhAmuGMG]KWUIeimDGUhX;WdEWVEi<AH<IvRMtpAGnGwtUsOeCLwWY?iuGVi;xhcffaWtcdjcTKEUYOdguBPgTpiWlyduMX;SgM;tikgy]geYDlah_iIHiCKuokyqxitqXX=\\UQqsTij[tOc\\nUpW<iOBDU?loMHoVDPLYUD<vUEQHPXFmo]hpWDSfeNRAn;POAmtoQJldQVQkj]Z<hkYFoTayeQeA@wbxh[nw<Fr`gbsOsIYdLOdlPYQbqkuYGDDsbe[UmCtTQiW]FksvwwHqaWhMXUauOIfSIsr]IPMtYIUdId:oCX?WLIsjwsAYRxaHTwdjmfWMx?qxeuRmmIiuFUgXwsfswE_Qt\\_TEEh_OcgSRgoeGwCqgxB;YayI:qHnQhMuCEadTmypwvfsCPMRWuc<MxYuVw_vukDvydZETPUF`OTCcDiKTS_daMG>=xPAxl]U`Ohd_hVeCUKg@_WaOGeciBgeFwecQH\\ags;ec=vguyo[UZyGmgx\\cbNqXokuDdJ@xlLWlGvfUgq:@]aVg?PvDqcFWhQowwOsIfdNvfEa\\Siin`uV@m]_ieWcbgZU?]nAjdxvlh^BobZ>\\fOqDGsmxbBXq:?pS?lkYxqxtNawwOvCOgfIndn\\OGeYPihFy\\`hxaaO@eVV`fwsCqw`whRyxBvgcQgMQppabV`rQIpwhxW@vPppgPeThk`htdhf?PpUhaaQytFf?gmfOsnOpFwuXNkQGjgwfTol>hsG`t?f]MopupiHXsGvaGFwjayqI_FfydAya?[uGedIfO?ec`kgO]@?_NVpmnhvNePaloWppop[Yjqfqrqyj__UhcupeONujO^s`uyntM_\\`XvSfbPXvGQ\\np^WAhr^uROdLyndxg^wqKW^qGu?I]Ny]YY]XgpdHnxgh?P`Ugm`PrfHfTprpWaFpd=yhlo\\Fys^OpYabLhiePoDNsEGy=g]Qq[CfyL>[>NZ;@bBXqZW__iw?GcMYfVAnRH\\O_d\\Ii?hmPwgAHdtvokGvJapgIdJW^dPk@NoeyoMgj?ogCGo`Qwh?lVvfgWtEy_]YtDafdftLQlbOgHo^LhrSqnp_aYxokAefHq[H`PVk?`_eFmB_j<Il?YkPnauaryvxUhxSqbWwyHosLwrHwfW`oeQa@HftpgpVvyhkAptW^[X?f^fqOno@VfuOhKIyXXgVYkvIfvYiUQmsq`Qhi>G]Kfv>P^@Wp_o\\;PlUqrdV_UQuAAkcV_MglWonlP_gQaHXwR?noqfRAdcihY?_IOei`uOQsRxxI?_LV[lVjC@fPngiP`hXmhn[kv_IXexIxnf`aoncqn]PsFg\\If_rFh<Payybdn]I_b]ApgOk^XsD^Z<FJ;Ck<utDJPqw_PVqhUMHjemU\\hXYXV`UP?eVOlRwQxp`qaioEiT>\\SLaPFiPSdU<pqhUNfmo[TqK@WNtY_evxeTOqlpyUSqv[xXDMySQsYuQQ=vaPmSqoppxVQmTPjtprGXy;Tk`Qo_Ys\\tUg\\Tellb`STEjWqrD\\Tb\\oLdseqWIQtdHs^PWTenTxldTqCYVjqUNuSA@uYqPm`rEAY_UQGIOqdUZMR<DLeTpDYVmqW=xMITJU<NNlPV`oqpwPYpSLNFHlkutBTjc@PWungdtGHRAtQEeUsuy_@Vs<MT=n[@SBYo@Um\\HWKApdEoq=R[UUPiOSuTb<LB\\:=[gx\\PhwiPynWfdVov`fgnjl^ubXfundEXlCq\\jNcuglMggd@d[_q^^]EHuWhdUffGndAYs[pgbapFplS@kPPoohigIZUHr=O__W]@H]G@iVi`tiqwo`\\n`wh[AXiKfxXGZ`h`QnlCan=IvHOgFP]xo]qaoM`gcocNy`tosxWuUWh]_fvndf?qWfvMA]Chr\\onOVZ]ysdpjsymIIyuYfoW[y@wewduGgZ_wNXvrHpfOuj`s<wrpAkrhvwqunxm=I`eOi;w`K>pjgntqjv`qtfZcpvfo`OnhLolOfj>`_ygpcx]Uywkfxsi_HGleWu?VrlHmnAbqVvtFu^Gp]P[Fw_Xwbc@mYpwLot`P[>N:<<PU[UugeTCeYpYovaMbqn_MoB]PUpsrIwY]o^mns`orPumipUpVAix_hWHQVYHjtIQ^MXXYVI`ldtN^moM@qaMTp]uiXsNTklpnLPs^hWiUY]EkuHvU=KHXwrDUMYkjIxx`nMmtHymciy<UPP]UVTksqmfUryLsC\\y^hpbYYexXCEmFHK\\qo<inUaKVYqIekD]NvavtlnQ`tLYmO=XvtMyhwEENeYPeAlyMKMykiyV\\YsyxQZiYEMQMdx^aWuqZAArpnkdXmaPeU?hQN[]nbYig@XoxYq`odi@jCajIwjQwbOGeYppVgxDGml``O?^J>;ZrxbuGdMqkaYyoObhxmLNlEVaEWo\\xrVpysQp_>f=YsmncmgfOwiqVebylrNe=Im=^_Qqdp>obhr_Xl@PsgFyNgjs@nJphBxjGvkIpZJFpvQgDW]sAk_NDIbg[YkgVtCIMKB`SRbWdMahTCX]sdqkrDOyfQqYQRrdWI\\YfTWulX;PpmpXv\\v?lxRXyN=Ye=JZMtRENAaxP`k`eqnUPFxoIAu[QROXS=ES>hyMpjAyMeMMgEj@EqttoxePdpj?xuvdQ_PyquqpUtpHWOMoktnbXOhDxLXxriJaPy_TLd\\MCEysxX\\HUK_Z<FJ<KkuLB\\QhTWSlKRuo]=Q@xvTik?yrXxx=etLaolDmgQnkus_hUR]nttolvjefeGgcohdiNgIijUi]Fabnn]IixsF_rp`pNbKhkt`wb_pwq]if\\twvka^sY^GOjniemwgi^vAv\\TNxD>q@`_EYxSYihxwpfdZit]@`WW[pVk[_b\\FlN?bG?xv^kkwpbGcr`_oQc=ArmiyU^[xw`]ojUQlEAlM^fwAl@XmpO`[>[DOxCA[>NZ;DfeW>iIS_S@QVksta?CFUrcWWfiBe=u\\ufAUEviyH;sVwChUBfow[wCFufMAffKiLybXygI[VogGVcvKcd:MtxaTdcDgAsv_BUGDCSXGceGOESsYcafquwLcR?qCh=Tk]Fd]RFaS\\KDHOUx=DEGEBcFYuTZEcQGcw;imCD^We@QETMwAmY^qIE_RTqx>MFhOur?TS?hmGXekHEktx_iG;VqqFFABUyI:Qh<EIlci@oUA_XsKCyQrucwGQeMWU`MuysIckYk]gneVn_fTICsihdORr=YTSrXMsSgtxEYcGBxQdSQVIQfLmhcidNOh^_XdqFZ;gvMhSaWb[FH?ehyBNeYmUXmESCEcXCD>]tw[Famc[GxrUeH=vBYENSIt[I^scwIdB]R^ktoCFeIVDis;yEE[GDUEiEt@sW=_eD=xWUrPswnQBeuVqQVQ[VYWt^SUqItjwCJkWJOXiEwXGVZUfkGhKSuJ]BggggGc>MbfaUqmTR_BreWdMW\\ICk]WpSuPWrUgxlEuFwUGiy<QuyWvweEfgEqOCfget@s^xJr`ngyQrDURYSXHVJlKA`qddS\\LwhyJblKspKXESb]p<PLnunXAPGQn\\hpLqlDTWiIKM\\lVPlfhM]XpDIQTQjqLJu]KiPxn=U^lt_qsFLjHDxLqvaew[MPVLSOTQkqLT`JF@SRUyqmL[pUjAreuushv?pJiH_IfqMfyInns^xfNm[W]G>gcXjU?j^Whuhn_hnj@pJxfZH_IqiFyt\\Qv\\_q\\X\\A_in_`UGiG>noQmDY[xhb>YjEP`S`gVpyZadt@^TF`g?dVvrlg_iGZexd\\?sBgjlNuxg`QImfn^Qf]HytbxiHqp@h]cAw`V\\NalsHh]OlOqfdOyUqwtxo;i[Vwq_Yani_mXrifxqXpxWeAxbjngXyyAIgEOncqoWaeQyl_P_kyaoXc<ohSYq?XuaXlgXcDPvAqdNp\\rWc>hs<WrXWhgnihw]EikqQ[QIrqxNATBUIc;S_cRyaXuKUUUUoachsRJcwU_D[aX][xV;YJaH\\AIUIh>mGh]bByiEAfLAtfGS_qfDGr[=tkGha?fZ?BlyXVsR^eF>iiACrjuDtItCUfKyyjaW]uCt?fPYC^gxNIinYtmGHSUIqGwlsWhmWhKGdKtkqHrkdh=BVSsM?tWwguuIpAduwgMUsBkiE;BeuSUqSVGr[kcQGsVEyeqT?cuxKBiqhYqYd_f>kN_]VNuqd]wC]pp`rELS>mPWAK@@K@DUH\\TJpklMLnUmXAsG@N^]Q@UUPxN[ekWykZAtCiWHxtTyMAIlQ]KNiS;dQFhwwTQxDs[HTdHyt]NLDlJ@P[lww<WcxJOMoXhP`xXvHpkHxsyvYxmtdXdUWeUWtdmH]NL<V^At?yVXHY`AqkUvRykKAMuipmlMa=nQhyWxXXImpdWTYKi\\q:xkLEOiLjq=v:Ija]mkmr;uJW\\Re@RyuLudqnmniqjtyxnqKmXpmpvadq>APBQvPHW_UPxDrCDq@XwrIxllT:YjXIt]esTMoh=NPhqMMpiqXt\\Mg]t_yROmV]um:hxq@xihsdUm`<xXDyZmlR@TZQySEQCyO>QovatgiWSANuDsVumedtT<YoqL]qKSLn@lTsmUwurnQVSiuBhLG@ux`uV@p_PXHmXEMsidW<\\PeuVBtMN=lrduu]lhATOYqLtUQYPZXwGujVUtuqjKDm;loRqvrToS\\qB]WM=yLPUUyth`Ya`nP@pxAStUqJtxX\\jXEjDqKaHQnYtIuQwQtEuOwTxFYPYpYtIopum:Hr]UVtaxcyTYeYoIxAyMIpsDLRYtkAIYflQ_Xk?\\lwQlEmO;UPnevb]PDdxKQtLQjptoypytioqputxxXYYueRfMXM\\STIui<yHQNOpS?eqLEoPPs`=nW`KEeNmpo]Auk@kr]LthLgESnIxnDmpmtpdy?iq\\etpaJRTvaXRNeTheTw@S`XYCdVJyO=as>DrKmRJiQxqlVQxMAvfmjXuPCXqZDvkdubtVDYPR<N:Eu`TlCmn_Ara@VrLNjENhiQ?lS_HoVQLcmWqdPodqjQrEtTWeXOyrYtYFyNy@qr@qxpqXXwGEt]DpyQrEtO>uqvLybYncIo\\]Pv<UulSravMxSXAY]ikZewbEkk@PcYndPodEylivmuvHiQgapMqpUqWuxTXEY?pks]XweoM]VZaypIVqhj`UwHiM`XkVAkdpj^mnZLVSETAATcUQM=ZEy_HPwIF\\dhyefqfqyp?sYqn=@aupv=ipmPs>npQQqVhkO_odWvngnKIetOs:ae;vo;PfB@]Svy=AnAfiG_qtQemo[xIf@xenGs^O_uqpC>kpIio?q=igU>]ja^tV_GWqJQk@OvKvrqauaOlDa_jvtVY[Yfx`W`XWsNGlnIuh>ZTF[DQcinpcoghorpGcC`r]fxNxdbHpkHlEam>PpqAkTqx;ItMpwmNsSNfAwo`xuWhqwhme@ejHdZOhHf]L@ZoNZsVbvh[Gf[_hn_`eHI\\lI^lP\\\\qu=@t@G^aQiBQua_sRHbPqkHGqqquuw]t?w[xjWnhR^h;O^K@rA?v_YdapcWGp\\groxtXWkpyrVVhFP[>_h;xoYWhGi`Y^ijIrBIl]vjIv]XvkAysuvwvpywYyi>ej@fDalcvxXuESBZmtfGUZ=xZww_iv_IrOeH\\yXyqwH[CGgGyGilydYogrqFXscwEh^YswwRIoityVySGe_gLCsnUIMIyaYvyaiuIsuYeTWeDeTYwyrSwfWd@yEYkcdCcEGwX=HNmvKwRXCevCYl[XNQsOWG[wgxUxUwuN]TN=cjMiK[fIWcPcGtWxHYIaasSWBtAs_WYI[IjAbBsfuevFItmEsLgFyWyWyw`usXgUV]UFCWI]erCXigipQBquvT?VSeRpGcJqc?=t^wTYeYoIxAyEY=ijEVysEy?y?yGdWgeGEv[gtCc@wDBCXiqHbiXT]Y^Gx:yIpAu]uevMxC;IwqguowtEu_udW?X<ICTIR?kEymwswvXOXDIGIuIwaHn]r=uCw[XfIhAQrFcR]]xQirEwDYsYvIxEydisbLCiZQbEkGw_xLmf]GraWIgahMIrAsEFkfxyIyYxy;IIqYuiwqivQwUdghmuhqERa?HcQTjsVd=Ho_iZUvA=BwQtpQsJOw`SGmUw=uXm;TD;ekqrUuixIyOcWoQdNuf[[uWkSVihEIwC=EW_WAkXfgtM_yfoxeeUOGuCIIUqfhKRgyxqMxgcWugkaumIYyqyuYHVTun=mKv<rDHysAmg@XuxwLtUuqn:puAQqtPqcTT`@P<<XdatcxtYuYw@S`XmGlYYpqNhlOhurUvG`spHUR=URQtLQXuiwqXwv`V;as`MRetPWHUxLybYnbAuvUQp]wReqTdK<mLCtWt<WyAj`dOR=pZqquqw]aN@\\XBiTQeU_PJcpSomVgERQhxmTr:=PHlxcYtAllLpmiLL\\qw;pSq=K?tsp<WnYlImQsDYlavTPmTxoypytq]VYpEq_u@_yNqWNuPNoPNhFxr]Yf@ak;AaqitQwew@y\\YkZHwOgdO_k__muvhhnu\\habYy;wZW^blfoWPyrF[RaiwgiwiuqwuGXmkIuawm;qcOI`[geUhb?irbOvHYrcadJhh[fufGn@PbjpwlnaZ>x<w]bi_LNuNisp_j[?bHQa[@aAGeWos=?tW?t=i_>nsB>bnyfnigKXhqVy;Nhcnok^xh`esP\\lvjnXcEWcOw^mYo\\vyhH^R@r>WlU^hl?wagmyOb_QlI?cpXlGG`>gxTh[DImwn\\DWm\\ff@fi@ysBwiXa\\waolW[ZFbuV\\C`bqQ[mx`nqihne[ovK_gYqhUig^vuQnerGfggggPs_xhNIsTI^GIr=xZI?mjFZN^]vqmsX^k?i]Wf]yrYviFHpJNoswywyxYihQie=pxw^bINlGX\\LQ\\:qySV``_wrXvH`kPHwlir]Yqnpm\\O^so_hqlbXmX@p:hpdPtcAj>osWqaj>goarZOckOloA\\Zoh<WibabVftOitlPcxx^:N_=FdqpppPdHAw[A^hIroFrTovLysqffJvjRFq\\gcafgMQo=wroXxg`_T`uNNbcXp`WhShhJhcdif@Nia@wMp_UNnNf`]i`rVsKikcHxuGkSQomIo=`iyxyxYyr?yA^[R>h=i[q>hkH_RWam>`nf`oFh?GwcpaNoobPply\\>aqoqtUw[x>yZ^ZGOhiPZCXfkHbyg_]NgJIq[hsyywyqyi?wJInAx]x?ijfl^qrdqgVXde`^]vjZxt;?tGhm>Pyb`of`[U>^w>wLN^aqgY>jkakbIhQP[EOymwcF>rkAiVW]Y@\\igiwgaowlBvnugl@V[WGdo?`dFo[Hn;WlUN]HOtCy`wxamWZ]F_Fa^W@dVheTvm\\w^t^qhnkhNnXabsVtognSn[?`oMgibQnnN^aq_ei[DPmofo:o`:aacx`>@qqHjwokSfe`_sRHZSFbdwnWphTVo`FlQXxONpEnj^Xhyn[aqs?WkPfqqquu_^JIrD^otY_rO\\RAZVpcTHamovvIymImGOdy^[UViki^_f^fhdhho?f\\BQcc>wh>ni?h`X]LqfnH]a`e_^d`Xu;QiTQukAbbaq]QjhGZa>ZCQu[?khPx;f^`ncYqw?fdkpvhavkfsGistP_J?t_F_m>iUPnn>qfN\\<ojFIcVfhhnc@^oli_=ha^xmqg[Fx_:p```joxp?Xk:F_mG_bFqcAnwvkHP[<HZoGZ@HcQfoJvxo^ow>cy@mlh]\\V]t^hbpvSyewgxO^gWnh;QkDPkgopSqj?SdcVtUt[KVLIXV?XnAwKYrAwCaCvBKYJCYmkbGSEpwvXWYh[Ur?XsQx_AICoVgQgeWT__CBkfeubkmV;YXDKi?;iC_elEbfExTEUSEGsWxt=CnUBmWS=mvL_UfwbFCT_YI@AfQ?RSIhWyiyuYkoxugENCGNqI@kCbiCjYEnmvZOwBktlate_T?cUeysDyC:SgcGg;AdGEr<uW=qR_gwNqSw?CtoHHKdQCtlavViBsKIsWIgWTCkRTaRJQr^?d;QDuixeyh^EsLCFhYWKsXxKtvMxoEwi[IyYh`esTOIoMwUwWxGyPYUiegREh<usuaetMwcWV@TX[ijQLwkmORmYo`pn`xrYvIxMulXfDKALYmpUvQs@YvAykY]pbEt_tlVMRgTRq<RQXs==X[EMCQyQxUxEyTYWiHwAxRtuYqLJ^qJFqJpxOahPZdwQmUseRlPPqUQZlu_UsPHwaMwmxsxTYuiwqHqh]R>XtwPYILU\\Er<hJF<J]aQ[YTIeQOypiuUKlSqQLW\\XW=TpelE`m^mL>HwMyn=UYj@kATjq<qY=Q_ut:aK\\IwnMYcQt_@ppixZeqvEylyXYiYQhNNEwquVnAPw`W<hk?pm`LWf]WVhQumpXyQv=yjIWMqn;QN?yRZePrhM;AL:DRQlr;mXN]xRQytQyhumjmu\\IkupsyQovIwpdUN`vwyxYyqgqpUqQwaxMeogepwpyBxkWqXUiWYiYqivryRpqrcly@pj@PsDQSbqKh@U_eK`dmUmNb]kLyRhXx`=xheWfXXKLOCpL<UWewavIvIVl`fc\\?oI`o`qw`qkXN[kgu^^vFXmu@h[Qr=x[x>efXnX@xn^b]HdBnlSWxhGq_qlUwGeDssxJud`OyLmYJ;vQyUyeYdIgaOc;_tM;Ej;V:[rEifG]r;sBV;r:MBdeD@Csbib<QbhGXDmFDMlpQVIyoyeye]xgMMHEr;uUrdv`LkTHxo]PS@tYxQxAy]YnHPQDHmohpHDLXLpc<RyhWhmW@@JEUSEEMkItGPy[UkalwFDX[QqWmV`]vxyqxixiPU^uLY]YkIYaimApPrmyiyqyqyAtMv?_?I_a`mlWTiSawexMiDiTvcte]cb?IBErkWdpoiTUYcghXmYaOXkUVFCIWAueyVbwC:WS?GDFuR<kS_gdQ?fU=fM[DdsItMSCQSloe;sTwQW[SCOGuvcUTWsX_bowxJ;rTiThSTX=ToUWWKFwaYMIR[mBAkIhIWAQuOwwZSDkeW\\?gCQu=OS=WE;eE\\cUtUTZWygcdmotOKuBybxCv>UTQ;Y]uWBgI_=dFcYXawp]XkWh`?rxYyiyI^=sJOf\\OF@uXOqtPqetMwcwYtYtYofFEelCWLafb]HtMtCuF[aCteHFoFMavhIrLAStewKKum;VTOE>sf_yhqEFhQbM?bZoyvWinQf;EYCade?RZ<LB\\J<pu;dW[YwfMyWUrPtSViX[mUxPWxXKtYQkMv>YpHQQePodeolpxwUypiMqlWVaoSUp:]uYYYiiqaumwmL>imALwbDY`MYKIkZdX>IQ=Du[UM:aT\\HQ?hynqtqEYkixLnlJ@qmi_ExtBxy@?^J>;?RZ;wo;GgcG_QeSOv\\QVLmT@OcfeX>ieFeUaWVa]ir;iiAf;Ub:]u;QuUMUT=t@WwJERlGtlkEIwdOgdkEuiatcWTUSEUCRQGFuKYSiXl?ULmxZmWoMsQsviKGdKTsOFK_SV_rZIEwEEUkcY_y^yFAgEp=EwmxC_R<oiymraASisDB[B<jE<JD@KdMsdMRg]LvhxxDOA?ZZ>ZC_b;_dQPdhhxL``gOu]nsjWhJ@viyiyYyUagmh[cipHq]MFx;hkWqhUio`pn`Ymioq;VgQakVpchaddfxKybYfsYxaypppphWHxdvmyoysasSX`cq^aQdvfmnapEnglQkDPkKYnAWx`I`;gcu@itGj:?>RjgR=grlaThErFud=gHtURt;S`au;St?svPIiYmRF?E;whRISPqgekum?BUAd[SRBacoeCpotPqTRGRwQyoYUt_XciuquuwWtHUI;GumCcIodf;etMHS_Y_idQmWygypmRqwFLCcZQu<oGFEYbaXPOerWxL_fjIb:=FJjXmJGiLSpXmUV]\\Op@Y\\qS<XsvMqZIu=ujHdVh@OL@ypeJJepv@rWYweYwOxM\\tSpmKxuQh]urXPHAQ]Mt^HSZDxfLyZptpaYm<n?tV`=TGqQuawm\\YrAX`@jfQXCHMX=M=hWnEVgEUotOJ<K>NZ;to;tOqE:_S`SrT;UW=xLqx@KvhGsh]HTcEsKX^eWgewVIimuDf;U:EXjcEuSfb=Eyos_gfCaVLGUQCYrkUAcCT[hwqxUYw@AW:WHJ?wmsdxCfEmcWoYtIwfWt>ygJEbJUyGsBIgto[eoEGbCxrWC>KB;>bJYgZXfn^p]ppEF\\Pnfi>l<fZ;abJPuQgiEi_q@`]^_]@u;ok;WwSAZV_yhXqhQ_cF_C_^L^[BxtE^cQwoXgkmalPplXghOidr^banjaQyYogyiyiyiAWij_xDQsDgm`N\\aPdWOcAFc@yuhqpCVgQ>[>N:<LnqNbANSLyyUq@yxp@Y<@Sy@QbuPB@QXqKT\\`^HcM@]oqixIyaysSX`a`qv`]fPmGape_idatchxoixZNvypyoyoSFeHiyaomsonlY\\`yxcYtaqnUpgTGqlg^HPc_PddvdQiwYyyxy`HI[\\qkpY^Aok>ia:Im[fitQx?@hE^Z<FJ<[t?[U_aKaZ]ods@]ko\\e_]mnfFUVAiPqtPIsMwFy;x:YBmsVHaRU?Ufkhdetd;hg]ixKybYfEudhcREIT]oRgAh=qCrACFqIWoS=?fqy_Ex_x@esinlqiqYqYieygyoanfa[BOioitQwy]yaxYZFxqppppQrEBAoCWKg<cvnaFI[c:=FJB;?faAVnQBtGuVauV=TJ=fMqg]usvGYmqeumwsweyayaAVOIvj=YYiYqiuxUygIRPiGEQYuiwqGtferDgDagepMuiyYyYy;YbASwmAIHWrB;yAmEs]v`WehMqatmZuv[tjVLtqxWY]WZAlItQvAXCQl_dj?hjUaWmhKB]YypYwaxk`KKIrk`P^\\J<D:jhiRi=s]qMGpRoQsH=liqlPpl[XRAPjUUjxxycySyMna`yoxtXUJ=xJkpRU<XeiuquuwIjAlMZTsieWgetC\\VR\\xlDV<ajlQxlYPHAQ]HocHKAQpfHw:Ij=DrTIpkfmpOqvQxEIrTigY^kROffPljph;@bZZ<FbIFrtPydYoq@wY>Zhn]Dfj:iocYx@Fj@vkAqsR__pxuxWy_VlCy[y^yjPqtPq[Hn;f[:qpUXmUHr?y_v@x<QplP`LiiJNi@Hqmi_e>tHv]x^iAi]q_]p^gRYsivqFQg`hkGhk?ir?AapammosSYgiDWGV@wdKgs`EIqEhHQeGMB;?RZZU@kgnaNo^RwyBWjoGlDN[DnlgVepIyayme`uDoe@GpQ_dN?joXp_N]jN\\@Wm;>gCXrcYayawmxsP_oRGdN_d>Vu:VaUPmTp[v>x:gvAgqeq`Zax^xwF?d]^rW?^J>;?RZ<wC\\WkInl<NDAn]Itb]LFemSqt;Eo;epOxwutof`oNaqVna=VfnQkL_iDOpHadTPqvV\\U^[Un`fpppp\\ahtG>iNnpKqjYwnWpwWoo;a^J>;BBltEpuJpqJHKTIRDIUSalfhUsIPjDrvaknijm\\mwLl=PssTvUiVl]tYPWptMf=rg=PoqksyM;AyShvWhtOeThTyuTJ\\IqxiTqlvAUw>pybTv]eqgYYeLQMxv@@JALPOxvP=Oqhs=LkQuLI=tqAo]\\XyytqprkINl\\sIlla@VoPKg@LlAOGDlmqNpmvGtJ_UsDlMTEUC@Mu`KBTltmUQen;YuZAXCEjEmxphKfamt@P_tPlAwG`yZIjfhXMqSQDkx=s]tyHxx\\XM[lS\\qW@\\o?LmJdw@TsZeW`LPKmPEYX]It@lp;TubIy>DlaQYoxqDiomlr;PqRIjZxN:IU`<kTXxKEY`dmnuyauSXunKYObAkR]O`PXEqwourPeM<]Js<P>dRdLXXAU\\XRA<lDinQTjtinjYQm=O:xr>YvkmM?QmSQngmP?\\UpltkiOS\\q_YjwPMuMxVQM;dP@UWeUOt\\nPIsUTUMiQr\\JmajJxQ>xkXxSiynbyjvdmjhmlmvdLsh\\LbaL\\qqS@jXhuhIKClJRAoVmTrix@itJxXllWXev\\DwqPrk<qmDYpmV<QWKdJQQKEtXcqX^LLClrIHloXtd`RipwfqqJQK?iw:UJwURMHs^`K:YwW<PRyjcLWWYl[<XwpmXuP=<qRuU^au?Ln]`YaPmppxmyoPMRUlsiDxP<wLQu\\PWtpJHYKcMpHeY\\hjCDWeQOkiuBqYteqQejnTJFlm_DOcEyf]wmEJhIJgikuXJxpkMlWWXtqUMexM<PoUux^iXh<sNfyuPHeSJihDMRQyWAatsIgX=utoS\\WDFcxKIEiMifuHqQHsmX`sBbCGRmr;iT<AVg;YLaV:ewX=R^_E>EsTihiGhmcrnoSa]ffSCSAGHURSQtSYtHmetMRV]vvGcTqFb;rvaRv;gtWxuUD>Sw?oDZchw=T;wBiEbHWyLoGWwE;eeFSfWUsjWC>ITeIyZGstgXDyY]_x=CWt=dfwX]mvLCwwiuimv@swVcIAKYlGS?[yhIyi]fH?dCkXTggGghaydaQIKIXPsSvecwCBgQVVAR]MTaUW_ueaGsdSfiqBtMYn_urSSEEiKYvEiWwkYB_eu_CHMCkUBlgsY]d=GEKKbHuxZcTL[Wf;e\\KFBAYnqHOqIXEwyEBnQfTCRXktRqcf=TFWEEEFnaSckS\\wspgXT;gUcfY[hyScSOsSgI_WEaSc>iCSYhPuWusrFoi]gwv?sWGwlkSBWH`mRPmIgWTXWw^AcgqtK_XseUH?FysX;uBPivIaXios]qhKQEYWDcKhbMX=srZAfGyg=kVboDTigRSDssXw]GFik@AxFHTSPktXp@aKretkYSsYv>aJeiRutR`dlCdsNmvA@j:iXFqjFumhxL^<wZaKNTVlDmfQm]yke]sj=QIYRLLpOLQJtPPuQ>Tnv@tRpt`=X[Ty`LRvDPWaKGAscxUBQPUTMUTSDMSbUYcuJjdXMuVHMMt<MnHwfhMjYUUmmrqs^IomuJgXl]LTDEKYdv_ivl<npaJBiUTUUUUjeAjuTvB@W@XU`HY^dUQLRbtP>is]xT]PWYhc`p^PFoRGqlg^CXaQQc<Oo]nbF@\\svh;^[bXnhGr:W[wWuLQtL_eV_mYg`kA\\PaxJn`sHkbxoixoeXoEn^dPfHOZngxxgytilOhlk>rTofpn`V^^U>tU^ub?gb?sYinuNZdpnn`pNvjmOniWoWXqeQjx?t_iibIhAYuh_wqPbVYqYa_]qjHXr@imxwvWxhhiqqqu_XcQp[SN`^arMvcVV``_[hGixyf:Vbinr=x\\X?i[qquqw=YumwswvxJXbHFsyVamhdCYxHYaiaeaWiLylOYoQwdN_dnv`qvwtXwhxdVGh?^dI`xFqm:ydYgioWygypIQmoV[wV\\WO]=VbaosR^uNX`HAa]Ax=y[iwl^hdJx]TomtOnPVbcakSV`hoqsqvSYpaWpt`ejHxCw^W`^lowlfrsqvUxghGq_q\\BnlTpxnYtIwaxAy]Yam_ojWZ`YtGv`VA`aosV>_S>tDyjYniR_jSiZFGmlfvkyrYvijIrAfh^?`OpZWPmAi]q_u?w\\W_`h_ur^wKntxHjJY_bAa`NniWn]piwixQY]oOl;VZ@^y\\y<KgeWgoQIw_IESx>uI>cgt]X]=GgyVXGY`Mx^IsJQDUqWugw;yJrMr>HK<]uyXnZPwKimu`n^`vMxSxDrGYnxLMoLWNIlAmMcxwhmm;iLWXvMySydYdIoa@pwxsxTyVTXFIP\\tSgtsAuMw]LIQLm`UeUTAlXgtNAdlydR?DuxdynYtYmYsiv?tLV=JMHKt<kmpYr<L@ElHHxJyX;unl<wruU^mYpemtHKW]xqyqyiQrLNcenXPQ^]YQ=tKYKSxqxQyeAwFiPodPwQyoYvHEXXhWZuyQYxi=MquLgLUnDX\\arsYxaypppp\\uKrQNfiNlpXvTNZlkmtVHaqeqoupYmYmYArdevgHuttnpxPD\\UiuJ[MVZmVv<J>lK]yM=TPneJtuOaDxjIL=xJB\\uQ\\Q<tKw\\xJQl_TSjqLdHosHqs@pj@lK]StMq=]TAuR:=T?eR?USQpO?uSxYsYmylqwuxw\\=p]]ynlx=QQOIpNAL`YLI]Q;DKYaXMiSyUyUyudPod`XHdNglUnxuRuUluoQMMtTSitPZtmAlMr=VoQwOakxLnlmnx=syMoeyoypma\\vt\\J@MvgeWmtys]x==x;tjHmvL=VhIreQr?XK;iyjHxLYSiDjuIlx]JMmuceyFTkBhYXPk?TuF`lPIUJeX>IjqdlddUvYqCLPEQj<PJx<VVAS_PTUEnMiqm<loXnaUvsIUsPX_LQqtxZIP:PXiXoeXrpuyxiyY\\YjIrAmMs]v\\XkhLy]yMyAK;LvkHN]aKxlVgmTfmWH\\jkhlb]s_por=TsAxZURaTXO^]BaZ=HbSGeSFk]^`E^xTNygVtX@dqFb:`eXHjUWZLIquqwuxy^y>mFGMe>ABUCD`QY;QSIaTkAhQEtMwgwoxTMw>[XW=Cp=ujGVuswvWH>YC=cxGwHXArxIimuvhkUv?yswvXWeoSWPAsKWFkAI>sTxICPICwsgGiFa?tC;DTadcSTHUIgahkSV@aHpkH<oce_UbkxPUeOUfu_Cx=sMKY=[uwqbUkW:OUPaF@Ky>seX;YZIbrgEJaFJIvYgYpIESUsFGEm;tZqxUyWyygyQyiKtWkuEkgLkFeudxmiX=RP=tO[ULGBkEdoWwckcH?Er;XZkrPmBA?XISbqqhpKvXIex=IoatMurHgEECD;_b:mb^[CsmF_KIeWs[gTDoHDeXLKBpwvLCVwaBCoxsqc<scDsDaOx@sVw=CeuWA[c`wDX=Y[IhAqEEKsBIec;cegtAifQoUtsWXai_SSP?t_CYaieqmUwexOIRl?sd<sTIUYhTy]R?aRLISAMPAYJ[Lm;ukHTvGUUTMUbPVxMyMymXdYnItVxrZqMB<LTdwkyrYtqoqtUEtRlRNlWAYmimqClJy<V:Ajh]UcXtEHrK@JlPjNuYsYsYmQsavM`pjTSDMShiqqquWtXVIL]TO^msBAVBlLfhyfYpIqUx`YsluH]mrDxfXpHossvvBxrwWbtY`WXetgc^Px=AfHnarAfRGbbQq^AkJ_\\Vwl`N\\Ua\\=x]fh]dNy<X[h>ZoIdsvqiqyuywyGx?y\\=A\\WihQieCqfPgoTgZ\\qkHyywuYyRQobtoyiyyxywOSGP]upUugMu<Ot]MVAaEcOboMYu?F_;wdIx]yrQcDOCw_UBWgSDCRrAtjCRTuioMGMosnYrKwRXCcQ=hpevACxl=yEYtISIeWsK[XTKXgMTu_rDMGJMe`[FhUbiQhUMBqwY<abC;Ta]HvEUiqR`eUogCDIw^gwpWuh]xbItteDHowhAY>oVIqewQsesgvkxRYVJcE@]uqmusuvjWrHSTxaBPkrZmfCYr@oGs=sOyxvcTmUXmoUA?fQef:gGC_vogW=EWmSvO[fGGDq]sRGHtGB>kCssCYkIvohpoxNWTHEiaqeumeumws;EKUH`]srovTWWhuakNvDxvlgqZapf^f?FqwfynYtDykGHwMynIilQoeCHnq>a<?vP^[SN`>vk=>uIY\\I_ak@f;QjQpetG[@X\\BXyPqvXVuNpeW^s=Y[?@dR?erqxUygY@h<I[exdipZWan^fjZngD`jsFknvgXaqAo]s_jk>fbavZQv]pbGPuqwuwWjNv]d@iIhapArWFipIuawfGQm?VbNVyyyxywyQnfyImaomCH`KWyoFmjobF^tGFZ>f`b?tZhipIua>w=QsIY_b_\\cw`PqdbIhiacy>jj^qpQuewbWfhNn`nQdt`y[`beaoEIrd`prFa^^[]GcaimNIjsOyRqp\\pcLykyXmZYjNGeSGaDyZp^lN?ZWWulgdxQbwnb@HtuQjHDTmBwYYVAikuDW]XKiyqyuIAc<[HUOH_MCrWIwgVt?YgsVx?wwitCiC;kSTQg:md=aIs]WpoS=IcmigNSSEUSE[SW;CSSfloU]=bIEt`wYyqyuuwwwxYmylyDFWin]CYYYiiiMyfIuTLeR_UB:itrUX`as;AREixSAw^yHXAqElOr@jnIlmlMVTjcXtyYwypyeQqeqoexoixodPod=Wb=ynYtIer=]q;PyPtKu\\t?Tq_EYsEQeqry@y\\w\\gNe>VfCXbfvlP>[tpZ@y]<_kqiuqw]wvlJHy>H[M>neHt=ilYV]@WfO^d@f_KIvKiw;wuIQaeao]wkwnlEYfJYriqquqg@?Z]adFff^Ig?OreiwaaXCrSYvv[i<KR@iE[Og[=WGogoqFtIBL_rUydYmYSKy;Oxf]Wf]TsUwmAd?WWYUipygmkD:OcTufTgVPeF@KelwWmmHUYvvKtOwimOCHsgEmdfCYYyBp[xHERjIXLIId?Sk=E<qSOSbIEfGyuwuxWMDwyIyIyIybXKQjYSWpNItK:tpsAoNitOIjSYRTyWwhxPyjYlYrquuuwcYtLyYfLJiuv@Hj<EVY`jDHjbHQvMRJMQ@iUuYbFxvXXihNu]h^NyuEw_w`^<^ujIZ=^`?faj`of`o\\Pn\\ywywyuI_a`m\\`yS_g_ybEHwoWl^NmRq]mnfF>mJQx_YsQn_V?iIiaqaioitQO^Ci[k_ZZxf\\XkLAbtVvFX`ZH`jxyhXqhQauawmH^gooFg^O`\\ChhG^n:xoypytNqnFgDirQvevAt=w[cA`e?o\\gmAFmkAinOt]wv=y[y^itIwaXlMYrpgivIxAI]LxjI`hPN]K@hx?lcNwfNZFivJxn>_[>OoM>e]W]WxeafhJfy:fy:xpy_y]y]IaamacjQ[_yfHAdx?kQoyMghfXs;iwInarAZIprAw]wS]irQsU>ou`=vGSYrswTSv]if]wYAErLUUMwFImivQxEIxpqfUoOSiVQHSFhXAeP>uM:tnJ@JUyjPiPGdKGTQiaqmeTOeLB]KX@LvlVFxv]py\\qM`un;tUy]xKyRiaqmqS@EJ\\iXZAr;@MWmRH`MSqOBySZhLJd[NAgGgcGOayqjhvy[heN>qcfdx>`@VvPHhwArPWa_QqK?ytYwix^GOmN_eV_eYweIpur_wkxrlosTp]Tf_:OsVNj__cQnjM^h`_p>IpZ_yyPyOyo>Olsi`CvbJOaNFt?cqquU[HkyDy?y?[XBaxcYtagSUoHp]wR]Y^CxRSe<[XQIImmv:QgfPt\\`yR<p[YrAxJU<wV=OFpV^]LuLYodXEAt[XR[EolAuUuWwhxBXNH@NOMtV<S^\\qXEymTs<TpY=X\\aL]iUampbtV?MjOPQNmojEjbyJbyjYqypypoeXouWwhxP<K@tVcIt``qv`QIxpeemoEQ:xKy\\iOwdWgrs@gV`ZDW]pHZFOjTQuT_mj>]Xxv?GyDwdxqg<Xkr_hK^bxFaUwfDftoQtAAv\\v[lpbbohbyhj_rLQtLYnIpatgvDilrA[`>tkwrWvr:_`tgjkQk;AfSQp_?iZowrXvHfgrQjoXj\\OrXia`AMgIpAu]ihQqUMYckiFvgHbac[AB:Eh=MdTUeMuYKiTZwwKYFI_I<WE;irUsuyqyqIgDcRFWw?eV_eFFur?SCP;feqUrEv?_FeaCNkt>iesaHbYS=cd;yfbIhioitQGhACtiGbqcBGHy;uOCt_WynIw=cw;asa;tqwytytyoSrCv>gDekTV?Y\\IcJ]DFChM?XdqOtyNFxs?YkQTxgyKy=y==kq<MM\\SqPNoTPGITw`s=toApMt=ONlKX\\JJdMjhNfatCqqBaj>ILjpu[QT_aYaIRAIYXdTFykRtk>xN<hn:eRy<Ty\\uwuxWYLalS>PXXPP_MsIqYpYPL=kZ]TtUQnmTQXvDXOh@J_urWIJAuUoPWOlKAYwgupWqxaxQwIwQuqtitIxYvYv;TJ@<Xh]jn@T`uyuMwSAvMER=mlnXUiyvAEyo`KWtK^lwttNeqtC]XPIOIeycTVm>_X?ww_pAVgaGswpj@pjaxmxOmAqwtXwh@]m>_mol:pvCIx>nuowtW_nUh`of`aymyoyrHh]AnU@xg>iHouywywypYuHKYkiB>cEdat>]tc;Y_WR<uR>kBMktHyeysefgEuYsDQsNmuR=R;oreygyog?AgQMHkSuF=hjohDiRHGx[?RUgYpIuAcYxugwoxDYv;KDnWXQ?w?MEnkI[uhqsHqStLMgiwgIKwYcgQ?w:krUEGnqh[ktx[Hdov_ihoghJEi;eCYIhvsFCQFmYxHkEv;EGAfOIXq=VGqsVGIMuvHYs=qd>KETWYJ=st;S`;iFkReiWgQD`obcquTyewWRy[Ex=y[YSP_G;?f:Yho]Im=HLkRqUYF[d;aRdMusuUV]UvAx=yCmcwccCNICMkFV_YlIsNwI>kYWiXQIvj]YiCg]sdeOcAiUjgfd;FdSW@OsJAh[MYMKy=AtZoghoWXais=Yj;VNQVV?rZCrKgdnIDG;xj[IyaymaSP=cqwHVAX=keS;epOsYeVlqtUuWwavasIsaymysIOIdAgAoEtHlAmMclwpeK`Tt^pQ\\PUiLOdLKt@X<HWbEnNqUvEx?yiqyqkwqZ@mR_aEGcXivG>rlhfEq^H_mr@h[QbBp[>IlOorlAivWjVibb`s`XZWixAwatIt^HcM@t[yrHh]uIxAy]MwdbAiM_xmQlLP\\b?]fwoXgqT_^Px]JGqEn\\f>jr@ypPodPgwX[@^htI_naibhvdQwdirEx\\=_wYgioi\\Hg`t_xbOdSFlgqZ<Xwn>uGhpqNkHy_`CbwhS?FY]rooUXKXhIiaququuw=fQAhBuewmxSeIWCrKATQOb;YWYoIw]diYWAYUPib:kwywyx`umuKpaKSLP^qpUqWu\\vJXRB]WxmymymydynYtQuUwePHAXFIPAaquqwu`m_eVjuoJtX;qLClXh]xxyOx@y<\\KUuQLLYR<jDxYjIrAtnIumHHR<LmbuxWyXYdPd]llyV`@R_Ixclme<XGYQhAq]itQuU?AykyyxyuyYQxAy]IrTiX?uk]lkrLv@YMi]Y^IlAmNImmvQueuo[aKodPoLNsANZ`RRPPVLSyEt\\hRrHLTuMKiW=iymlVFAYfIpAAV>EVyqUuewo=v;xJlek;@ppix<dUnmwVIqNMya]mkmJe\\WaIkMANO`tcxYuLMKMjGPJ@\\tyqyiyy@uQyXxHYQypytYWRtmAp=egWwXSwW_EEFqb:KW[EwLifVqGgcGWCH\\]rtufKgX:?G>eCUCwPYUiebcchdetd[i?IgnGDeCiL<n=iRsYlYxWvHx@tlA<niuNLDklQxleMnAkwiOgdOrUkKTTlEogx\\sYsYOjCwy[y[y?ikirQvmvOxCoo;OnMajooc<`_YpqdnhN?lJ>xDxaxIxI@usnivAyYpynynFwdG_wtXwhhytix=f\\sHv@X]:Wfjnphiqqqut@e;@gmGrPPcVIZj@xUxgxHiLanCOiS`qpo]jGscf`KIkanmrossvvjG_dVgfIdagcWPaoIyaymaA\\<NvhXppXvFas]qi<I[a>p^G`XVs;XZABj[rCCf_ySxOBKIRTAiKstuAWQaCvkUQyv=_II_IlAsMmSscbKAu\\SrG[BNyHfWFjcDRoc=oBGKvVGwtUBq_cV[R:We<KW=WtIuIW[rwoixoEwwXoQwOacIev^wEESBm=gPcvjoU:ECjeTt;wruuxgYA_CSKhXYRnCXAsB\\oSx_xLYSKyykAFJIYfOXe=G?]ieiBAgryIx;AvUMsJGWU;i\\?bEyYKiiyuxuwuWEX?iD\\[hvYvZeXoex;uBW[BXKBo?BkEbXUf]UWgIrRWUtIE;MGBIHRye;MRX?Y\\IcIqIuaCUYv@ic]SWAOgi_gf_fIYCNWvDYGixmyIyY@WIdsmtVHaMXaOiDr@@kX=p_LjCATopVaqJYPKw@rN`r?hRBqLgLU^PX?tjSPPimrFHMYyyxyxs@mOltglmt`R\\DnQUy[]jZMpTPmTPMLdSj`Y[Xm;UwBLx;pYamvTeS_TjOMmcLWPLqLmyVuR;ER;TTMLVr=VKqQK`vtuJ@`Tddrs]KbiYPetHYrTYjxpXduY<]NSiP:ek:pk=uQ:QxAukg=Wb=JCxYeioq@XM=sTixDpKXIOK@utexppK[pv^xqxUmAqX\\XPRLQSTMNIQnat>TSBDsDuxGDjHuq=EX;uj]qO:UPmDjitW>pXLTslpoGDwIALWIjAlMriqiiYItWaisUxxjYrITjvUWgXkhLompuktM@tQ<porevOxTXPYdIOFDluxwxXyjIv=IuCYodPoRPwAhYUtmXHY`ImbuUQuTqQyeyoeAQVDxrXKp`T\\ASgTjHuk[eLVpj[]VJQxetTh`u`Umg=nVIRGyLilUFxr@tsLYvIxQx=s[tjNXyZMQHxPYaYMHJm<MIlwvXxHemXpTaQq<YV@dc>X\\H?rSqqvQxEylXOiChZIiBCBOyUN]T>CVlKVo=xZIrugwpWEhMCnqI=muS?wWKxAOd<Gu=oHqiuquuHYIiaUUUUu]xKyRE?Bq[BbQXJwFa=Ss_iCGRMge;owFEcS;wh;R=;fqqdOgd[Wwx=v=Ks^Iuaue?AIDUey;IgGF\\uuJ;WEgEWGecChQYIi[fwKHtCfochwkWGsVy[XfccVQbvAv^yvHoI:MCcIC`?tR?xKgf>IHXOV^Wd?ewUKVBCHsMuieYvgypYuQeUoeD>_ymwewacsuGnQXHcee]bDaELkIqaumEEpkXCiFQ_Em]skSwnQr:odv;x:YBZyx?gJ[eLJIv_ijxLkbiJUMNbHX:MVx=y=yM\\IJJIX]MOQ=ORHLJXSP`O;ALuEu_ul[XtYpYtIwuawmxsoutWurvipJ]StEYr\\PN\\pRlx>TpLHtU\\jmhVm=lR`wZxn[ho>XUhEKH\\pIlw?\\R>uvGtlETwb]wsTX`AR?hMj=r;tMw]xKIuaumwAw]xk<hvmeV<@NyhX>TqkEr<hJnmu:UWayUnlnW<rt]pJ@jShS>\\nWAtJATLMTlmysyv]]Q@ux@YuQxUxEYyiyqyOgdO_]uddNflSYiK[LQtEMFtTcivq\\RO=VCTQN<KmXKZqkJYOfXjChNHmV=yrG]xRyMvAvAtQtItI@QM`MFIs`XMJuWBhLnpUJhL:uNYDX>ILJQtMqnGUoixoAtsxtwvXxZewmLNqhOrhNaeMk\\J:duxYsitq>Dx:uo@pQ[DW[pN[TYCmNMPu\\dJsDRU\\m;pSStsReLKYKp@TjtPMTPBXPd<JUaXCMv]\\WQuTQwtixubHd]pmyoysifEqlGwmxf]fHxAyaxIxBH\\]^lY>i:xf:VnBnmnHx]yrmndUVaeOgd?tRVuwWypirA?g=ao=YZ@^[JHjshmHQvTOZbp]Phd\\AydHst?tDN]x^irnwKi\\Q_ekgwoxthPeoPwisxqB\\qGSeVp[r:MV:kB^=y;yBY[Ew]xKIyWAVtWc\\qcfOx;AfHGt]wRE?HuoRn=H<OdikEt=w[WVAqcwexOyT[SuesgvOx@YEi]IvAx=iXTuHlSSK?Ux=wnitbAuZsuJyhZyHsiI_QeYMvh;RHAdyKinCs_cSSmIWcwLSdEKxRqSdsd:mds=unMcpcdecgDeH\\cxDktEkTOufacv:WBH;IuawmwEt=w[wTXEY?Ky[QeemgcOO?aVqMOq`T=Uqn@t]uZv>mXFmypyoyoioqsEgOTV]UFoBZAwksEV_g`Er`mV;kvS;x_ORVyHYAB:iDsCRXIeyct=cEC;W=WYFkIdwd^ScjcThMvCgXLEGexNOdKaXTsAQ[hvKxRXDy@YMi]YlIsa<M=HxJEjrxPplPLpwmeLHYXIokcXkJ?j:>ZHNhC_b;_dI?nlY^cFmxNdQfd_pbuqvUxgjw\\>oyT^eLanu`pXOj]X]bIhNXpu?gsngVAqapmtO[>^xXXihIuswvWx^H_mbNfVw_KIvL`[nWvUqguh[Pgv_ylYos[xl\\ififnlwfRfn`qwJfx?w\\W_b?Nr?qZtnpO?p[qjMfvFFZPqtPquwwxWYf@aksaymysaysYx[kq]l?s[f^_f^Fncg`of`fSYh;o]:w^ivex`]N^]faZWQxkyrYvq^QlE?cuHot>]J^ci`^=VZngvMfvAwt:wjbg^=proixoAnxQtex`vxae`edGZToadgwJVnZHx]^owWbr?[Aw`Z?ujHfJGtMwnHgoeXouXvHXahhqpQedhfDhmo^]o@lKihcx`ZhqaOyZOoAOwpgaC`bLXjXnoahysnmDFhYauPp_EUVgxRuwmkREaSsIus[TZevY?fmCYlII[ouQQWBSVgIYaieqEu_ud[UE=kBMuGe_uDmi;Ub@cEx=y[aUmatywYyycxKybOitOEiEIKer_MFrcGxcevCYliBQ[UZKdIKb>iElOVJ_SambGsV:sCv;x:YtIuIWkDNKYoKin_CqWw?EYsEy]wcxKYLISaCXd_dE]GbiBZMUYmGZStEOgkqTQ=WtWwhWqlajRix>eWutW<`RKavATO=YX`EKiEVrDVfmQtAw]HNvyYwYwYuTYeYoLqktRhiLelTj`J>@NI<NqXTIeQoQseto^aWadmKPUc=p]Ut_DSIQnHHPZuWyQyeWplg_=fvAqkWV[HWbYo^X>\\c>j_>uvA[hD:WdImIsMt^GSbyebavjWxCIuRuuQucq=w:At^aEtCfYwFH]eBSeyEx\\irrMFtaxcYbX_CoWTN]T>GDMKWaYhIqI=CFSEw]mrFGE]wRIoS_OT<]BqsEbMRcIEw?fgYuSgVfWShOhSoCckDnmFIMet[GmqxyYuuOhJlpU=yutTaQNM]tNApppvJ\\vJaoPmT`<KGljDhK`HTLHmCpU>hVKEk<MULEw?]L@=mkhP<MmMqJdhUcUnTmL_@oVTkBdNl=WJUTtHyuHyYXpYXpQtMHTugIQymyVLYQijvewc<UiQYYhxvXwWUj`moXMtFYNv<nt\\qhqv`qJjujI<rHDrpAvaMpmXpMXlMHQxMRT=nbyWCDpo@m=uSqTn>]yb`N[IxL=stUTplUcLqtPqL<pRHW]VxbP\\KF\\;qbEiawfaWhmWPytPZS?[ZYaG>eHqoWgeW?nL@no>iRaqsWpx^gcVuAG\\qId?weFpslhhVNxk?yf@ob@yrIx]GhkGhN_dNncxioghoJa^aO]bFp\\>pO?^:XpmX`ngZVgwbAw:f];hgEh]DAdqgslG_GQnH>er>sGHs^OflW^JYftaxcacUVfHHjdirc`viG^[^qXyf@PaigleQwdQ]UV]Gpb]OeTO]=OerWk?YZFhgkf]ZyrIx]@Vj;ves>ijA^AGkeIkAFeAVeZPlRA`cIln@dsgskO\\px_^_sFHg=Nl]I`f@l]NkaglKarD_oeYd<wwvPhwynS_`Ear`qwhqgfy:yDZ=xvqDNesLGDCAe>wb:qv[iVPkXE[Y@swp_T>?U>GBBmdP;C?IrEwyRCUZoURGHaQR=ueR=COqIIqD;sUIasFarYIGMmfN_dN?bkAHE?RTicCqc:GtLAbuYyuYxmYx;aG[gW`]Hk[BZ[uw=t>oF_SFCcy_se?et?gb?GcCGcr=Ij=v:iyuyxC_IHocHOggqvbOrZEIauF]IyRIh]eV_eVVOCfGU<qdFMi]CR[cr[aw<kHdOyxiyu;uy;tu?gb?WLafC=UWkCCKrQcFOCRCOdkIDR?GrgHGidWUu]MV\\MSEUS;wsj?unaxnqv`qV[mFTgvlEcwUY:qG:Ct^GHLQbM?uHySlgvWCwYsFTQrlyyMwI`_TykWE[SdCsb_vbGhhkTPSHDGGKQHOWXpKgxCs<ixGaHjqT_eV_IumwVswYvgiwgHmMrF_sxAiwUypShGAiwAhk;vC;Ujmbw=UKETKsDQsr^UE`UEeCDRKta]ijAdmKtaIuhiitOitqwWYiJ]W:=R:wdQwdDKdSQFHmSH=Hy[In]Xn=bYaV_eVoghoGd`?R[QXR_VSwBFSEIAxA;fo[bEgeusXh_UsOXb]rWEcGoXhCcV[glKb@gUWeUMKDL[yvay:WHVCCFgT:IsDAVj;GGGUQkd[cb?gbGYeqscJWYcQLGeSG]krLr^hnLxkR`oy`UlDmFeXoeXrQKUuUAxjAXPFUrXAxp`S_TT\\`vQ=mnTwaHugTJi@yuYy=hO:XXQytQytNatJ@YJAT_YOryVDMSDlmuXquxMwLY>tPDLOIqSl\\SwXjwTJXYYuUY]Yv]ypfEu<<rctOitrA<kdQKDyrC]VnnjiGemW`dxsJhlPGpXW]oIsFI]DF]v^]gncwx_X_q:YqmnfFAZ__tFIvpAvZAftYZfqodPodfsl^]>obN?`rGuTQuDnoSWeUWypiwUg\\KI\\[IiCx\\K^Z`^]l_oJFhuWiuysYxayFilankHpKNiHgcGgex`I?g^gG<Khr_VCQDIsCIkx:kGgcGw[XbAteytiGVw_i>Avl=HogE>;gwgiW[VBUhnaWHCCCCxoixW[xUOWhOgGOBYIsMCD[ER@eB=?Il_u_ivEydLATiYwQygDUVPibR_cA_sFaSbis?ir?;xuSWPaG:aG;ae[qXbIeCMS>?CRMHjUBnivlivEAFCER;ERSCESKtWob;mDc[wMMf^]eCWi`EWTSrKCHjGs<Ob<;bm;trGf[GRm_SmutnUrg?rNyxiyuISS@;b=?Vn_hn?uSIukgs:CgESerWv?YeqsWX]irEx<ibEkB=GbiEgCIg]iGfgDeywiyF?[vwuxjOrBIEiCB_SYOuuNoRCAhtatAcYS=RpwVIqeV_eV[yMsC@UfKyrAyb=eWVgeWGri=hSqivEylgYuqXfuc;Gb;[W<mWXKgwwfawvWYiq=YWSUbKItKEYETtstYOG[suxgYMsYFcbI_VIyTioUWYiquwKWFAMytQyVcEWSr<Qr^wcxODeQrKYS_eV_=xD[iiKGisGIqsHqVnubfgRlAijAh`esT_iv_IraCfGDbItTiheub?iC?]ug]FTOe_gw@_DDMXvcstixeImU\\Yjll:IsCISoelkhRrEpSlMXlKWLJuEmF<LYtMI\\J`aLO=jsTt?hPm]KXtYi]urHJPqsUUQvhlLPl<\\P`DM\\=NMhVvMOJ<n^]y]PO^lwLhK;Up>dTBHkCHV`UkXPrcYW`mnGUmp@YkQVv\\LQtL=<ocMwF@SDoxewthHxeAyjausXhsyicpolVvgAjkp`?gb?ghoghwhqw@juotY^[uIfJGs?X[Qn[DFfd@quAotarY_amVeWVm^IUIUUUUUCBWKyV]hbEDSmCMauQegTeHumxfqr@qrhogh[EyUR=UR]Qv\\Av:;x?]wqOytQYveyDide;y^MTLMtpgWUaDKID[erR[dcAvZArukiMyfIuuuwXi]FMcWhmWheWgeV\\OW^]V^=VZ=fd_SogRR=DCSTYmhfEuKYfAUxmYxciGhausWDUSEeIwcIeR?ebuWiuC_MbPAr;;XZ=HFwEA[fMufHErs=WtoDi]X@KsFwr>KHLabQgTb=T`[DH[CkuXquSB=SrCX\\aBUyh]Ady[x`URCAT;[R:kGjmss=xZIrkYvAyexcYD;B;;Ca]V^]eusXhKF\\KB:ecIArLGru=b:qFMGC@auJAt:UH@GricUt_dacTpIFJeVPQSxqRv=tfcE<;IX=bqmyysYxasDQs<wS>YihmWheuWiunOTLQYRiGm]B:OwioUwOgcGg;Gd=OxGyeysI^[F>gWf?V[ib?TUTMURYS]`pn`lk@MGhj\\LSoyYs@Xg=o\\=jEyM`EtfdJ`xylTsbxQL\\LN\\j?elVaKc]qtYMlemkDwMuQ?uSTtviQuoXWeqtgpQxlQNINIeqftuhPodPsCIssDYlaNx]JU`rb]PlXWATymPS=awwUypIqtPqdTuPDVGlJ]lw^TwimuvHjqipX\\RYIp]uRlMXlxmYxM[\\SsXuKeJpPShqs=aYN]TNxpqxPotk]MLF]xFImmLVjamMIry@Vv\\KaAwAxQbdWUELXeKC]tVXRVaPWUp<eYCHL;@KahYAuRAauVaU<esAxKY<MRxVO@pFejMMqODvPxnDuLf<UjmyvIy`pn`<xO<WihoghKD\\ob@oZQRbmvNqXcTO\\AQ<PytQyZAvZErGlyHPkaeKOlU;PSyhP:LJXHYGxSZivu`ky@OMdyY=x;UpNAVbYrf@R:tSIusAxKYlr@qr<hpmayI]l:yU\\DKxeKiqsSXPA<lHxm<IoOTu;mnsHWPHle@YBuSIurcmlaIJH]QJ]rwyTCtpDTmY`J@lJhXUqpWFuUI<KB<JNEYr=Y>uRAUV;HSttYaAK_hktajLAukQu;Ir;<on<Pj<jWElPpl@LuG]lQ`n<lUqDuUYuiquwXqixoiIx]yrfAT`\\oWXY``n^`V`asS`wJao@<VcySM]K[\\WVAqKHSl\\v\\YNWMv;EmxpqxHSCESxqyxQm_xJyPXRlpJdMpTP_\\u=IM:ATYyqyuUSEUseytiX@mWBaL[\\M^\\q\\erD@sBASjpXRyQx@QdASseN\\MtRiuUpPgMrS]LDaPR\\KPyKP@yjavCYlQuoXeKAaycYta<j=atcXTSYN<usY`\\Y^bbfjoNZfGfUAbQQuTQuTPmTXeqpgOwdQWlXF`r@uMYt=yof?ujHZahyR@mRnmsIgjQcSppjgccfy<PtLV\\MFfb@hs?`NGg``oSA`ENdCAekIjBh]TN]t?yjIfMHs>^f@Hc=pscYiC>t;PZLik@WvoWpFfrm_]hWhmWhk?e_GvovgSpywnn@g`?Vy?Gb?fy\\PZ[prTAb=XkabjCyiyx>UgkCwMuI=;WbqiLoGiQyQCEKabIAGb;GR?IkMF=KRr;U]IBUOGisGI;SaSHvadsUw;GSmsTUARuUbLGH@gU>=xBmRHGh>KtEKRs[CU]bakRcExUYuUYcymv^avvsYxauEYsEKi?wG;gWUIuSIr_SBbIuYQUfmUKyRUIGHSVJOe_=W@gDAasTKSTYHWiGiAwnQuPuXDUFcIePeC_GShMIFYIocHoWhmWt?ir_giwguWiuW?sFCGf[G^eYK;t`Mr>GCdSsHqR>AtuWSRIFmKI>aRoIIUKS]uYgkIBQDbyfVuCoWUxmBe?bYgEPssMKDLKv\\QvnSSpkCY[Dkuy_[GM_eUmg\\?epaHPeIEexwSYJGt<kY=uBvkTwMSUYYKAerqSK=f^MyDiY\\_w@eyhcVxSg^KwjwcDOiPgticCvSgx;feerBIfd=yICwQqfRavReYjcsRuY:wfMiLieqQ=V=aW_HvkDumtWG@sQdomXRxXsKpvfDlV\\p>LklXUKYMuYNKHUDIwW=VPHpOLXn]QmqlOtKJqPsun\\Lm]etp@ppEQvYuH=RO`yQ<yj<OvhPBAs_iOfPjF=lVlLIIyIMq:dYnATg=J_LcKOn>GkLf^D_lvy]BEKUIvoXa]DaWH:;B:;RLEdMCde?L;;2:\"\{\}<Drawing-Root>LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIjNSEiIi0lKUJPVU5EU19ZRzYjJCIiIUYqLSUtQk9VTkRTX1dJRFRIRzYjJCIlP3VGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiU/YEYqLSUpQ0hJTERSRU5HNiI=</Drawing-Root></Image></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L381" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Figure 1</Font>. The percentage of the correlation energy recovered for each atom within VMC, using a single-determinant SJ wave function (VMC) with the addition of backflow (VMC-BF), multiple determinants (VMC-MD), and both together (VMC-MDBF). The statistical error bars (not shown) are smaller than the symbols. Reprinted from <Font encoding="UTF-8">M. D. Brown, J. R. Trail, P. L\303\263pez R\303\255os, and R. J. Needs, &quot;Energies of the first row atoms from quantum Monte Carlo,&quot; J. Chem. Phys. </Font><Font bold="true">126</Font>, 224110 (2007), with the permission of AIP Publishing.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L354" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L149" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">As shown in the Table 1 and Figure 1, the DMC2-MDBF method can recover about 99% of the correlation energy for these atoms, which means it is an much improved method than HF. </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L278" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Compare these results with the energy obtained from DFT:</Text-field>
</Input>
</Group>
<Group view="code" hide-input="false" labelreference="L279" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZhdG9tc0dGKDcqNyM3JlEjTGlGKCIiIUYyRjI3IzcmUSNCZUYoRjJGMkYyNyM3JlEiQkYoRjJGMkYyNyM3JlEiQ0YoRjJGMkYyNyM3JlEiTkYoRjJGMkYyNyM3JlEiT0YoRjJGMkYyNyM3JlEiRkYoRjJGMkYyNyM3JlEjTmVGKEYyRjJGMjcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group view="code" hide-input="false" labelreference="L280" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEtYXRvbXNfZW5lcmd5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEifkYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUY2Ni1RKiZjb2xvbmVxO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yNzc3Nzc4ZW1GJy9GTkZTLUkobWZlbmNlZEdGJDYmLUYjNiYtRiw2JVEkc2VxRidGL0YyLUZWNiQtRiM2Li1GLDYlUTJEZW5zaXR5RnVuY3Rpb25hbEYnRi9GMi1GVjYkLUYjNiwtRiw2JVElYXRvbUYnRi9GMi1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIRkovRk5RLDAuMzMzMzMzM2VtRidGNS1GLDYlUSZiYXNpc0YnRi9GMkY1LUY2Ni1RIj1GJ0Y5RjtGPkZARkJGREZGRkhGUkZURjUtSSNtc0dGJDYjUSdjY3B2dHpGJy1GLDYjUSFGJ0Y5RjktRlY2Ji1GIzYlLUYsNiVRJmVfdG90RidGL0YyLyUrZXhlY3V0YWJsZUdGPUY5RjkvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGZW9GNUZib0Y1LUY2Ni9RI2luRicvJSVib2xkR0YxL0YzUSVib2xkRicvJStmb250d2VpZ2h0R0ZdckY7Rj5GQEZCRkRGRkZIRkpGTUY1LUYsNiVRJmF0b21zRidGL0YyRl9xRjlGOUZfcUY5RjlGYXFGZHEtRjY2LVEiO0YnRjlGO0Zob0ZARkJGREZGRkhGSkZURl9xRjk=</Equation></Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SS1hdG9tc19lbmVyZ3lHRig3KiQhMF45ZCNRayJbKCEjOSQhMGU4QlVeZVkiISM4JCEwKWY1JT14V1kjRjQkITAmPiI0Lyc0eFBGNCQhMHJlI1I6RlphRjQkITBvYj49SWdcKEY0JCEwaUtDYDhGKCoqRjQkITAwWiRSYkIqRyIhIzc3IzcqXUMwMURFRDM0MDlGRjBFN0JdQzAyRDUxMjhDNkI4QTM2OF1DMDM4QTUwRkM0NzJCQkQxXUMwNDJFMkFFRDRBN0Q2RUNdQzA0QjNDODFGMDFGQkQxQ11DMDUyQkQ3NTk1QzM1MjREXUMwNThFRTg5NjI5OTZGRDhdQzA2MDFEOERDMEZCMzREQg==</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L281" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L282" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Table visible="true" editable="true" exterior="all" pagebreak="cell" showlabel="true" title="" plotalignlists="" hiddenborderdisplay="worksheet" interior="group" postexecute="insert" drawcaption="false" width="100%" captionalignment="0" showinput="true" captionposition="1" id="Table0" alignment="left" randomized="false" labelreference="L283" showgroup="true" order="row"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L314" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L313" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjTGlGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjTGlGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L319" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjQmVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjQmVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L318" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiQkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiQkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L317" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L316" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L321" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiT0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiT0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L320" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJStleGVjdXRhYmxlR0YxRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L322" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjTmVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjTmVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGMUYy</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L294" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">DFT</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L295" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE0JnVtaW51czA7Ny40ODE2NDM4M0YnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvSSttc2VtYW50aWNzR0YkUSw3LjQ4MTY0MzgyNkYnLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE0JnVtaW51czA7Ny40ODE2NDM4M0YnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvSSttc2VtYW50aWNzR0YkUSw3LjQ4MTY0MzgyNkYnLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJ0Yy</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L296" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7MTQuNjU4NTE0MjJGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsMTQuNjU4NTE0MjJGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7MTQuNjU4NTE0MjJGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsMTQuNjU4NTE0MjJGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L297" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7MjQuNjQ0NzcxODRGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsMjQuNjQ0NzcxODRGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7MjQuNjQ0NzcxODRGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsMjQuNjQ0NzcxODRGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L298" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7MzcuNzcwOTYwNDFGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsMzcuNzcwOTYwNDFGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7MzcuNzcwOTYwNDFGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsMzcuNzcwOTYwNDFGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L299" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7NTQuNDcyNzE1MzlGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsNTQuNDcyNzE1MzlGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7NTQuNDcyNzE1MzlGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsNTQuNDcyNzE1MzlGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L300" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7NzQuOTYwMzAxODJGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsNzQuOTYwMzAxODJGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7NzQuOTYwMzAxODJGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsNzQuOTYwMzAxODJGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L301" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7OTkuNzI3MTM1MzJGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsOTkuNzI3MTM1MzJGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE1JnVtaW51czA7OTkuNzI3MTM1MzJGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEsOTkuNzI3MTM1MzJGJy1JI21pR0YkNiNRIUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGMg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L302" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE2JnVtaW51czA7MTI4LjkyMzU1MzkzRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy9JK21zZW1hbnRpY3NHRiRRLDEyOC45MjM1NTM5RictSSNtaUdGJDYjUSFGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlE2JnVtaW51czA7MTI4LjkyMzU1MzkzRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy9JK21zZW1hbnRpY3NHRiRRLDEyOC45MjM1NTM5RictSSNtaUdGJDYjUSFGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnRjI=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L303" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">DFT corr%</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L304" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEoMTA3LjkwNUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUSIlRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdGOEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEoMTA3LjkwNUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUSIlRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdGOEYv</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L305" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTAuNjIzRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTAuNjIzRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L306" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTIuNjgxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTIuNjgxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L307" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnNTIuNjU0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnNTIuNjU0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L308" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnMzguMTI4RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnMzguMTI4RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L309" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnNTguNTEyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnNTguNTEyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L310" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTcuOTE2RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTcuOTE2RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L311" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTYuNDAzRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEnOTYuNDAzRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEifkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L284" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Table 2.</Font> The DFT energies for each atom using basis ccpvtz, and the percentage of the correlation energy recovered by the DFT calculations (DFT corr%). </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L385" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L436" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Here, in order to compare the results of DMC2 and DFT intuitively, we draw the correlation energy of the two methods in one picture, which can clearly see the excellent performance of DMC2.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L435" drawlabel="true" applyint="true" applyrational="true" applyexponent="false"><Text-field opaque="false" subscript="false" underline="false" superscript="false" bold="false" foreground="[0,0,0]" italic="false" executable="false" selection-placeholder="false" size="12" readonly="false" background="[255,255,255]" placeholder="false" family="Times New Roman" spaceabove="0" linebreak="space" rightmargin="0" linespacing="0.0" initial="0" firstindent="0" leftmargin="0" bulletsuffix="" alignment="centred" bullet="none" spacebelow="0" pagebreak-before="false"><Image height="566" width="756" zoomable="false" labelreference="L433" drawcaption="false" captionalignment="0" captionposition="1">MFNWtKUb<ob<R=MDLCdNNZ:l:<X>T:PmbmWlkVLq\\\\OtHoqTPtXqjDqlfc[_hj_gi_hfGg\\?^pgflWhcwghW`hV@_CE;CTcEW[uVosEYSU=EW:tlqDqmxlQdrBh:`Jr\\nfHAYRRv;=BdyscM]cgnC_b;_dr_mgius_iFvxyyZjytfqvRamUXchNb\\Fb>I]q?tdXnHQaTwe?GouAoe`dyhanh^Oqdopigxgypgdqo\\PwEWcINohg\\<@qiA\\Q_v:_fqvjVWqmYy]Np>OjJ`wFohaixv_apI\\uImSImqqr`VxDyf`oaYFbNfbK^b>_b>_nRN_sX[ZN^\\N^\\Fgkb>]R>]RDSr:;S>]R>]fj[KC@;M;R^:`<jB;F?ZK<RD:]>jN:@CZc:FL:M;R^:`<jB;F?ZK<RD:]>jN:@CZc:FL:M;R^:`<jB;F?ZK<RD:]>jN:@CZc:FL:M;R^:`<jB;F?ZK<RD:]>jN:@CZc:FL:M;R^:`<jB;F_FhkViZRO`]HtBXmqvg<ir?iZ<@^BieHF\\KF\\O@jbNkBWcEWjyxqy^ddffpijkb_?XmqvG]B>[BBiU@CDKCDwsbeytiWfLefDMXQGFEkj_@v\\Qv<<NyYJ^QwdQOmeP>]R>]TLLYwpM;DJ;ln]AqLD`ffj<Xtxpohpo_O]:f[@G\\KIhc>cHWs<xpEpZGOjv>nPGxNV`KF\\KGeLOx_YeF>j_asPXdC>mtHyFN\\nGe`p`yfo@FlWWrJIppxmFhlKF\\KFlo@d`ilIhvNqlMG[RfpdnnJ?y=>j>gePnbgPk;qlMG[lfd@_b>_bPaj;>pV@`RfbFguvoZ\\G`EQ[Tqnhoa=Vjk@qo>kB@kBPcHHZj`mBpkEG_LYxqA`K>b<p_EFtkG_Li\\?_b>_bPGk;>pV@cHWiv?yuomoAkBD\\wr[=BfsFvgUncVtoEKCDKCt]AH:kdMcS<_IZyfOAvCuH^WiuKu\\GSJwb^eHKCL\\Tw>A:[tdCBKgU=ABZIh[;HoSHQsIWKQtPnB@;edRvbtntpYrvqyG>veh_vOmQyceHbE@fI?Kwcpke>yXyuU:?GlqWZMF\\KFtmI<?s^CxVaxteInOUg[XtceSyV<CTCHmUqOZmxH@U:<rUdSeTvmqwoHQ==KKDLKYPlttkYuL@X`<ll=SgPLJDLfIU^hyWqxo<vgQVIHOUpS]ex;YWrhmPhkSeY=InkhTEAT_DLKDLSMOXPJp@PimR>LVXYMG<VapT[yomDSR<p^LMt`sVEqEQN\\L^P^j;>t<fhdXvAhl=Wm:irXqZKydL?xtQrb^^bqwCiePF\\KF\\S?[@>bEftfPoantwh\\;vgQViVxcDWbIIiuI\\U`m`vhS_b>CS=B@;REkTMysOSE@uHAetDkSrGgEQRIIyK=IledMerKCDKCtMGPn@XO`uWDpxio`AoY<v@duw`UnYUv=LyumCMlu`O\\BOWVFdo:xjMhMPuKiMkPiPd<NettBHlepkZyn=ut^q?flM_[:pd<ItHqZEpZnNryP]POj;A_\\Yjyim>amWv\\s>fnF\\KF\\OFRKUKSUoOCyyxiOiRcyL=P:yPyeU:]v`Xtj<MSLJC@kB@w;lJ:obJ^Zvxuk^\\YphGVjZrDAge?EqoF@CUsoBsWS]KF\\KflMb;;tDeCdED>GuwUr[ufPEvIWdC?Er_HTKyfkCRcS>F@oTgidtoyRmIrGHVgwg=XjkG?sgi;c<MdxSShQhB?cB?S`]Kg`UmALi\\ynLpSLOr@u]aU\\MMXUmqxMQpW_XsWmLKDLKDsBHJJEJdEyeEp[]Tm]JsEQ[lQoqMxiPyuQHpUuXOqEU>]R>]NMlJ:ejB<xj]rtyp\\<TiPlPtXmTXkqrqyJkXxVMpViVKbBmBFTs]Tn;<kUYKV`UYxyOAUptXjQYtTu]exjqVrEpteJVYso<VRQs=AysAxoQPSqXSPPMYyaLN\\LnvmLSnwSYpAfeuph?xqyxa>Fb:y_y`yL?gs@_D@mlffD^yvayZAvZAjpgwTIv\\irEhjPIcCGc;wqxgyZQwdQ[qv`q^[WNaNFwcivZQurX`U@jiQg=V_XGZxy`nvyeyhoXxUYs:Xlwh[P`[f_jQQreNrZ_\\kqutY\\Rxpenpva[Rfg`yxiG\\R>jC@kBasfN@GESCEbwTioE`qsWWUfQxSSH`=VPagS=Uj?V;kCX[IBsFasFn=wJIBSEUIkw:gwQygYkSYoIGgWUqh[yhYqY=qewSYjKV>ACcou<ExHaW<ktG<wimLhuta\\vqxlK=KlhTe@xGuot=MsOO;V@qdmAetGyF[cluCRcGKYyistR;bC?cBMB<?UhMixmeI?FB;urGX]KYnAw;;FywxIyuYyEiqiuqGxiyiyY=<wnMQrAyrAVsQx_AwMynIlsXhQE@pj@PVLQn=KGPMoLZRQp_W[tvhhakUv`h?rYyuy`buqteixJUgBVeUWUSqqRFobvYBwYf[yv;YI?[UwIbCsF;cdt_XuQYBQvwwdkiriyV;lUcXwAxWYuoATYUPpUqYCHsnqyEil<@JFxRy]N?`yitoi`J<QqCeUO`QFpJZQwx=NwDKjmx;LontpXyyqMNdLsFyq=LsnAygEnf]vh<nfhr?ir[DPkDLgQuoXPoHWoPUndWTaLKETK=wMynILn\\PnZqv`qVDtiZheuphJGoN?ar?XwTYeYo?uguVauV]SIuSunaUiwtQgU[yTqyI[[y:DLJyr=TpU^wVHfDfZ<GrlGZJ^ZNNgfFrmIFwtvYXkevpmBFwv>[UWGV=OgXqGjGDXOhwStyGTnEumaIywXq_ViyYOusvAFb;glyYS;CdyRxoDQqgdkVwODpWgfMSygcL_h=]Bp_Y:Of[ywxYYA?BfEyJ;CgQVwIRbas`_yiir=yeAsTy=f]ytF;r>MS:yu;KdjOi:;eR?eB;BjIxkIGNqw]Yv]MUP?eR?CiuWiQREiWf]WZIv[IVTufrStawSAatcWTEAi\\YyLYdDmhXiuecVxWWI\\QDlO@<s;<X]`sqETpmOialuPJS`LvIJJALj]x:\\tpgpgiyipxInygWfqwqg@fshi[ihgo]TwdwAstp`pycRqw]vou_xI>jlPxrpeJQjEAZN@tENs=x]cF]ywZBordQZZHaGOmnF[Mv^H_`wvteixB>[B>_UhkuVyvfiWBXmyV;xcgXyIcR=wEYbaQvmeIyOYaSBmwXV]RTmTh[iVgwjqXUOWjIXowY@gw[IGEyejaypIYZyeyqIhiUy;tj=CZqUssiA_RnkuyQWr]veEXgqr\\mtu]UuGDjkvwSrtgFVyTS=iUsdyAdUOsp_D;Qx[wr=IbOef@kxwyDIww?cBjYu>wBUYTSauy]IVYftaEgMbDaY;oxSExZyRDmVn;xF=c>_gh\\xoix?>cDOc<xmYxmchacF_CfxeytqfoM`mV?iF^qv`qv^n^`nRpeY_]uWiu?uUYuQhiKAbxI_XvdyayY_x?qirywYWZQF`@agY^yd>Z@itFAr:hnKAqtw^MVepHu[GuZqrbXeCisfVye^rb?ZHoyvaxqyu_Y]Eiy;yiL?[wPqY>eQyycYubwX[TbGBRKXDsIlqExmeE;ElwEtyx]WsYCUqsGuIrtucUmyb=bokv`yI^oeXMImqCjOyoQhYqwMUb\\Ow[Ws;kEQqxbiV=cFgUGryh:[RikrMSBjywiQBXIVsii:qxh?bTQwxeby;fjYtZqbv_IVWIrgDqqw@Yr;ii\\KRUoX:Ou@QCxyiGoRZsH=;sHUYbIfIyyTsY^_VQOBWeuI[Bw?FSEsPQsDkIGeb?cB?CrQytQSuqwWqcBxciXuc=wBIKVNAgK=B:?cB?C^of`OvBId];WRAh[;BZurHgEjKEG?WTahc_I?WgNIya?YPikvYw\\qMx<KVywW@wrilSyY;lTkaX<QyqPm]=xlAWVPkQYnIQn=<UJyq[lUfpU;aouiOitwYaoNMO:LovqmjxR?pXhDuY<JGyrDYxw<PTlMDllshNElm_DKPxKypwpiRZQwytSihRU<lYlYFHYqYJniyXQU]HvCiW\\HxkYuNd[=H^ypkla_]F]RXtjIrmsC;tbEBGWWxyTuutAaIQqDy_uPIhvaxxmIFEvaGrIoWWEByAgc?g?WI`oh^gWX?iSCDC?xHSB_IGDAdA[v^gIL[uXKCiuSgUYbITfywrwVJMtEmfbIcfKxh;vnaxn]r@qr<;B<Yr=IHmmvF]hheuTkEXkEb_UsOHxoytYWvexOyTREh\\eB<Ob<?HsMx^]erCX<sVHae;oR]GB:[XdatCCSCESR=hZ\\v`qv\\=xZIrb]tbHLPuoXeU\\QQFQXQDTkxqrQO`yjYDKyEx_xVaIvgxMH@VY]wg=ub`JvUtepMt]jQ]PyqkEIsuyl?HwnyMJ]gfgwaxy\\qx`y[uWxnVZyWixxqxy]hIjonvWy[@x[WpwiFdUYbgiroHmtghY`tpAgJgsEyogqts>vLucyw=eWQwEVWs<?fxmh:AUbIiUGYtEFOkYq[yKige;TiuyUAB:ct=Euv?VNog]isaeIU=CFYsxmcZoTFUYhmVSkiE]vqQYUYi<kxhsCxOElEbrYRIuYgYxxqCr=CiQBp?t:;ieuth[hheut?SuAr;WBk_YsQXBOfB?sBASfKUn?CcGgc?o_USFYmqtKOYoQuPgXmLPl<Hp]ur\\Ux`isJEoN=wSYpalVGQm?tVauvLtt[mpI<TsDQoIlMxV>yqymQHhSAYx=AuAimeMVriykXJGQoV`qyEUbDQ:Tm@PJtMSi<oopK?\\xfDJrPXm<NEuK^en`yMfXpnuxYXwX@xvIl_eVoeUdhoMEKt=NYLKFxkhTpmMYJYKces=IRCPv=utFTMYLYN\\QQDVBis;MsyMm;YTvXUb\\yw\\qCdqZaKQpKYTRO]vnLw]MrUEUwIpJ=r@UXy\\ps`LHtW?mMIppyLLpaWfYkpqQE=yuVZZhj@>rlQbCv]ZVnK_rnxaHQfCqqvY]Injo`[<ybWXg<gdVygaN_UNcI>rDgw?fll>ZEP^JXlkAmj@mTOjjFoIyqHXof>[dayJ?giQmyywuxlYpyTPggIZawwvyxK?_JgavywAwlOn[Ugb=Aum^qpImpXgfVqjheTnhHi^FNgI?gmXhHyqkWsV`^ti]Z`j]yxMA`:nl<Plx>bEpxVOrQxiVX:cIdYy]mryOw;qs@QFaKd[OxHEsw?fP_LULXmYYRPkeiUfLxvdpriv@aQsxu?hRDHP@@vvH`LIv:`hKIZcAh:O]V>fjHh@^`h@pk?h?ho]p\\pqcT?arVq;IsOW[IvfA>quNu;YrCq[hqcp?xj_p=pt;qpvoykvi`W\\>i_Y>br?wq?jbQeKNbSnyH>dLIxuIhRrL=TTyBbURFiCvwixaBlac\\kUbov?GywYE<IuXQwhYF\\Ox:EwwdlJVk\\rXYGVkDiowAkyH_YtYW=yu>[IdoIn;xuOwkycaMUhosycGsAuQqIcEYcmUUwivaxxyIJUwiqYIeYuIdhyU]agweI^_V`AvhmRHkw`mvZIY`MxNEKqurADjJiuCqLXlSpAxjMpg\\LPdQW`wFusWdwNALFaY]AtPXTC<yvUtC]J^xMAxPLElFtPVuXhxjCiudAn]eWyxni=n>\\lp]yhlK=<Vc<OkYJnXwvMP@uyRTjFaM=LwN]t\\EuZqrjQXpTtJAQ>MS_`t:\\ojYw:eKsEYrhy?eXN=LiaLueKZHT>Ll?tSN=y^QR[HN[]k@ELtaoV]uCAsI\\jctx=EVDmRhLTlLpKPlKXYyIywqxnaM^hVytUiYoWhkDlMqYrZYjXaRUyJ;EtNlNiyOq]pumnmhRUmS_<VNQoRxrWQJ>HywYMNHSB\\T\\IxuITF<j_FoY>n]ytMG`rGy[^n^_vZPkaX^Po[cOjdnmHOhQhBgHj_fMAv`=T`yX;sI@mSXGDcGes;SswEFSTFEvkIRR]Ss=GFmuCAs;mSXYD@OTtMBQSYU;iy[DPcSw_cIcb?uSaSIrOIRQvGirACdNoTvAXFMJxPUGlxw=t@LwLmmtpTdIxuIVFVCMxA;GhqX@kBfcIBWwcsxZivfub_YbU?fpeRg_u_E\\:G_aHrEHhnQuW__R?xWN^gwd<yeBG`ox^<Y\\CN`HXZbNk\\nw_Q]jw^wvnjwg\\Yrw`kSFa`XtLI__@aofynVg@x`=_bjxfcpp[`v]yh;nZ:QDoy;KSHUs<Af_wbjmF;uCaSIokDxGuBcGeGYCiUPCDSUB?oe@sEt_yJkhYWS@ugjuUFDOKQnaMJc<QodWdiRFuYJLMEXw_]SLyV[TOqIww`kyiwMuMWYwQpWVMU_xMyHJe\\mC\\j^XvgQn;yS]Tm[]rDYNBPqvuJ=xlAUvUyteYnUeQyEqEUN\\TSaPTelWtxoMExt\\Wyt\\dFZRfup^\\;S=yfy?gVSTc_BrGITIrGIh^URAaRWMi=oiYyErhxvhUndngdk:<XVtKddLQdkgllIDWFpOoeyJXWJDxpQm]pnkTJC@kb`v`awBym[QoeeaBNxLouogtGOjv>vahtZIhQwxCBycg@cS<_I^_GEQWk\\nLUpqHT]mXY@XFLWX<K:<yvypm<mxyvS=xdQJ\\LnLHqJ`l@hOaXL;nrnp[KHqTFibhd<N^upj;>bK@\\R?xvNpe?ecxg:Fnv_[:`d`^dqyijwueAd=>Zj@hqifvXymIh^Q]XxwhH`\\N^_F_biyeadUy\\OiiV_fhpbxf]eWy[oiyqZjitPnaGYwehtNHuJ>`NxkQeNmV>CR:AePIFjqXkxKq\\m>qjR@YVISIIrvpYG<v>IJ]HkBPkoEyPMQxUQKxYAYxRqPDawwYYRurTqYrEQFyLKIXc<SHUs<xpEmycuUpayOhOXdlc`soQWN<JIuVu\\kxIP@Tqi\\u<YMYyM:Qt;ek[Is;TnCRFYuoEC@EDbUEdicTmyVkSE;sycEVMu[oUbIsrMCR_s\\gSbwCPuCimBqsRU]EyGf=yiP[R[QYDmfViVKLOQmoa`V\\UvKAY:\\wwYNcE`^Vpc?dSi]eyudokDpgH>kuhm;xt`ywAImUPisXsdvxFnbKFdQpwZyt]GxBPqnwZ@VhF`nD_b_QrviuQ@frxayPirgfqGqEI^?Fvc>flVoJvga_gRfuVVZQpb]ae\\O]tw_FPr<IZGFtv>m=nbQvfEIo>^cWai@F[t`_MWmYpd=@shHfv@yS@sDa^bqw[gy[Y]:>jkggdHsVg[cf[u?ZCawv_eo>yc_f>Nm>FiZf_uv[=plXruIc>CiEQGqMC`CRy=IvIB:MfhSC]oT?AVEIGxusB_gCQrWydKWVjKfC=dAsrpWFCIH:Kd^[hHkhREI^GCtktliRHGrBGheMVjOVyiDsWsd<MFPN`pWxfrW`wg>gUPqsa[IwZMFeCXecGuRW\\wg[:>xpViyAc@^a?^cLHtRQokvpYWZ>ogtfjOwZhH^lWtc_^ahf[yugYg:?\\fxypqi]Hd>imF`]^Nwl@lbxqyAtWYb\\p_UvvMfx?Oixq]`NZB?t_G^tn_?xh@I\\SGj?YiiV^uvsBPy;ngbG\\<ymcOlXVZZFcDgoL>xswxTAxkGtZYUiBFiusECCQyf]SyegH[WNqdUIFWWda]RLoIECStaG^;wX[YGyCsEyI_vn_G^QEDut=wdVoxrAdB]RPGF_SFAsIV;iD;BrUig=c\\ky:kflyb;;d^sFBKB@ihgobDkGpAybUvC]yv]v@kw^]vZmwUcCZAVaodu_i\\KtmWxFeIoECtWYBMty[DfqwyeiWoeMMfgEC<;T;IuXkiTeCveUoCyYehT[faev[muhWSIeYwsF;uFl_YEqyCWR`mc;DyuPnoeKiEqEIN?PfBOpcYt^P`vfmgI`pghFnhVXc@Y]Ex[ZGw:qrjghjhl^_ZrWnK_bDofHHoApwKAdQ?xofauvo>WumXdePk>VqAwyWGr?q]phrnahT^k\\n`XfkAOnhVoRYw:fZ^yc?`rEfrC`_UpwXo_PxymgZ:>`hh[uwyBoaF>j^VoQXrv?x]Ap`@]tPvjnkXWc?wryqw;HdFyq:Oq:YxFVjLXgjN^sf_u@cIiu=ynaWloIuBI_[ae?q_TVmAFfHid=vagpZxNuuyeWg`jYtt>rWItpIqyGmQ^c<padgdF^ZZ@cB^\\;IcJIkfHrDiyQ?lPhmAPwxnsbw]`Y_qGa^@f<@_D`qg@xsFwoQibgpT?wnOarPqtPsWok?WqR`l@peEVnJPmSXe^Ge;_vc>mB^a]Vai@tohh?vyx?aViuCAs@GcxFu<@ZrGaUy\\Dvh?ixVIcovlkGh]AZ<>bOvcA_wtyxE_wg>^l@fcIus?gsixH^n`ov\\yqwOw]XiwQklwl^@evnimxZJPsCPoO^m[wxRXm:O[l_uRitAGnkhaH`xfWbCppcwnPGrUitxInXOqAfqooqTWirQgW>vwAmMOplGinO\\nWiUf\\Xqem_\\Qww^OvY@uu>gSgk=>gMFedx]I^e?Og`o_<`qV@xDgeyGqEI^?Xf:^nlG^y>x^wakgmvVnbO[yospq`?yxRiaNYhaIvbwZOhZXP`w_hL^xqNm`@fsqye>muX`PHZJ@s<guEI`ZYywxl;>Z]xeDnv_a]^Va@>bdv\\DOavHsAgm=GtqHc_?qb_gGaeKGykNv?EPeErOcbWsq=X^QwW]HfOrsQRC_GGQu=utjUIwsBO_uW;t][eaoYCmY_yvVyDcKUCubqCgMEtGET[yC:[yWaEjQU=_y=krvgekOHQUR>usdSIIAb?WimYYyqRw_DVmghSI[cv\\yfJOs?oF;mEjYtd=xrWd\\KBlyw@kTdAHbSfXMC;OS:khYWS@IeUOYsWs[Kfa=hxAsG[FdYhZYwdGryOEPMdu\\bj>ZLGaK?`FN[:P^[>pZIqLxj;G[lQh<wluU]YXqEhQ;dBQT^QEF?eyuYJwxKggdOrXqfviCpuSDar:;S_qRAQux==jHlxOQWFUR:AOSAwQPj;<Jy]mF=r_YUcQPQUR>eNkHxb]Qh]uwxJitVu]xgMTSmwl=kF=YM<KOXOIpK=PVHIm:]OGeSytTnXocikyxs`TVxqoE=yypUoavhDkBpm:AVNdSQiwH@Yk<KTTUpqyKEy;qM:MOqMK@HRcqUyPN\\LjwDMxqMlLqo=K:PjXejFEmeHN\\xNsiw>iSVEqMHKquRU]xeMU?mwl=kDDV:\\Nl@NGLOuXns=paLxFPNxxumEUhQhKYfRfk\\nvfAsiiyUNul>clHUKfLOV:[Fl?H]uwqQBhgIneiJaeC@ovAutMQKtLMXt[QnkHr:pv;PXQXRN]J=<NKhjC@KpaRwAJq\\VaIMk`VY]mVivJDt]\\RK]rfYywxY=XmALrOEV]ulLhVZ=J^LpjLjZ<mtEJQeMrPKWmVh`sOD\\AhwrvlFX`CNirFucH`rhbJ`u_A\\OVk;>lBQZoH[oqbbxoENtmXxj`iyi\\sXs[rxwbuuytyRNEbuWdW_sOCDOsc;;dBLTc`JMiM;Yspyr[TNutS`QkB@K:lx?qu@IpeIoJAud@PfhVOEa=_xR_[:`bPNoEg]y^ZtOa\\f`mv\\ex[XWlu`]\\NZjViuoiiyeYq^OHd;irXovd?kXvk;>lBQbchd<nbWymW^vuiqQHlOXgJHq\\N^_WarGyHNni`n:qcgPrBy\\=hvhBtMF@;R\\SCpQWreFrIWo;SHUs@Qy]sH^qGA?SKQChgyeitbOTKGGgCcDYE@;R\\\\sHqR?HLilvYuVn@VqiN^QMFPPQ]R^`SktthQVY]wg=ub>ieh\\uwyb`y]?Z^NpjgiTvd@xnMh]h_uwxjGyriOsWo[KP^O^stIxd?i?_Zr?aDaeGFtMI`:N\\S?aAVaonjx@lyntRaqWwlZ_`DP`Q_b^`_aPvo?uko_SN_[Irvgu>gvWVZZFlO>wYaoD^enn`BhcHwrYwfLfvhvjBGdDNiyQqPYxA?lQXlFitJflFVZZFL[UokhR[XymiKIIuSV[KcfiB^Kd<ib^_HfEIWwyAutRmxxId?CV:[FlOD=WU>Cr;qTGWTkQYfqijUShQXB_D[?fqygMeWY]TmIXKGiTKfLWV:[Fl\\QV`wjqRMQs:VxpoeLHqTN^eyhsqdtniuFlyWvOAup^wwY^EQRKl\\TrY=oDTQoPKKyTL=LWtl\\tXs\\RPeWXwLcRZgUGuWNQxQQsWmCKYH[=B^dRvepT\\xf=UC<Rxip:`R^mMQYTlDpkAg:>rRq`OafhpjbIukb>`sbpT;ATe`JfIqjUKatWbavhtjBQOGyuwEK@TnBxLdHY[pY:XmViftofF>j>od`PpaX^thtmyZ:^s_w_ZFdSXcJiu=Qy=IyMw_HXfiy]S?_@>BQCGOYcsYdKggsfMCXkCGGmvd=cfWs<iuQtbBpn;o]bO\\^I^qGa>S[=B^Kh<etw]UJIfPwK:ayW]q]<mb`o^tn_EVG]xo<Jfiy]Ts@AJB]V_prVyMNpxQYvqDXgqS``sOA\\HVcpqr[VaIAkjQsh?gKNvcvhs^BUV:[^Oio^qjQNosGrZ_\\k@hIVi;FkDW__V^AvaV>qD>ZRvt`^Z<@^BaeKFtmYpTAZb?`R>`sOx^_Z?fZ;Ir;IZ;UjkIyaymQRM]VCOfBGGMmf:ysIyCHkCH;WQqgWkGX]ibSVOaR_UgZMWdweIsu:MdxSS`Q_fWsxIk=ofHHZoX_tPnog[iGqEeDerdUBZytYuYGGymyv]msVGIrSYpaGxoytYWFAekSBmwVIqHgWH]mrF[sTgHESCP[G:Ir=wB[av^abHcEt;FeScAKSloCGMbv;tbOcuKXFkRfkuuEUhQPS]OWiqVoyIi\\:>rRqtOAuuybPvsdWZZqywYyKiquwhnGwLiZ;Hj;@yQyqxijpiwUY^tNaT>bxwwYyhYiiAxcxFy>fuuxhAguthhkPh_QcVaqsW\\y`ylYkvhrMflKFbJ>``qyNfdyn]vpjuH]sN`Q_b^GmPowyPjn`wv^tjIh;Wyjv]sXSOSGQW=pvGYm]Uypiwr@X[QJ:<vrIx]AuqxWYLQoMw><JBXkEXR\\MV\\LuoXWaMYGpTehRMqnGELOdLO]wpTpmXp[xteYKw<kDYqQPoQ=RgtYQ]V`AMj`wY@QsXs[LprDwSIi^qyIqsRp`[>dc@uuybPxsdk=yKy\\RYpQw=LTLMDTUUUU>xjA^jCV\\JyoYwa:>b\\Of\\>:Ixc[yQ_eIwcIGWSYf`wSYoCgoTeMQB<KjtwU@NdTJ<@NRpwBlUxxyDLtlPX_moB@sl`ot<XODoSHqbPw_ajhdXvavhtjb`SReW:\\UqpWWlYvIxA]oXeqTDPkDPREp\\eJxHy`YMf@UkPvsxpsDWLaNbaXtTt]QyoYw_=UkDlsaXfhvE@vDlSJyV_IVOIjeMXQXR^EPhivR\\SQysHpWWLJoTYyAsD=Ug=JvuwwxxFeq:hXdat;YmimqCxXXIYATtaxSA<JrQytQJ:LlLPlDdqhDOcDsn`wKmxpqxjeXoeOnANl`Jddl:HTidvqQJhDuqEMSEq@DmeL^Snt>we=iwn=XYwuYsXcNoffp`:nf`of<gnd^ypatdg`Fpb]>ZZ>_b>[xpqx@uxhiuHgspeixr;YjAF\\KF\\[Fgg`bL?wXwuYflVi]jWawvZyf]\\wwoFtMafaI]FWfbokxG_>npdWow^fLPZSgwaHqewth@mpfgTniyiyq_esPh?V]qng>asSX`kQwexo<>syp_dOr>H[rQvEx_jHgMq^V`asO\\=nZF>jyxqyNinAw[vgkab`?fepd[_fe`ysNjQnwx`jV`a]`sOF\\OxgsYvaof=yceHbIqjOfvhvjb`cSAsW?js`sXhaUVlavc@AwKYnK`mV`[ywiy_kVFaLVd``ckfomqyuyw]V^]VZ]nbF@bdOgdNep`gCh_Uop:WnKAsRGaKHynQgRG[mppY_rGgePnisn\\IxtUFx@o^\\Pv^Q]Fpns_pAoqRg\\pq`dGmeN^dVe<@yjatR^xF_xtganPeg^htf]ixZ^Vkk@gIi^vGyAIa>FisFviIkg@iKWaKG`Pi]xpkqytY@jQXpwnxw?tTN]UoZ:Wg<Yvq`ca@jmXpmhvRi_KFZrWncg\\bg]fG\\qWa=viV`cJXQ?gVIHRcRFYuSSKjLv?AN@xQlPSL`J:yQyayMTJAlK>etdhT[UWeUKAuRA=qtPq\\hTepTRpPgMMhmuvHO?EM>]J:IuXqJ=XU>LJ:lvhak?tS<<LOlxUIkU@qluNMlwHppbytnPkViflV[mpZ:ikUv`\\PioQwRN`^?[f_gf?x;yZY>f=qjG>uthhen\\ineFpdgPe[ywyxy@gtdhdkuPYUrgXeqdsSs[KfuqBosC>WdWOEaQDMAh]aUl_u_ALq\\k@ELmmhiiyUJ>tNuUow`TX`LHaoY`wSTP`=vytysyKtdXdaT^=SP>xtYwiX:?yrAYFqewSEeoTgOruswvWVHQdB?C:We]gEtyHeTKqaU@amWHpbULdisCiwC@JfeQW@kEHscAXKAuZ=RmARsXc^o``g[:xkUXdqIdOV_P_rQwewgfHQdB@wKVbY?[<Qpwydj_xTO_\\p?=tv;uEmwL?c^eFDOF`uuiiyU[uv;DhOEUEeeKFlsESqr;[sBAs:oUiwdeux>Mcaiw\\GRiYy=ArFiiyEruCdLgwrsdFWHCKYrCucGHrgRJ_u_ndLxZ:Y`aosZHd]pbjGhkGjuXquNwNIo=XrAx[Ege@F\\;>]SQod^gNOZxIkwXj]xthQsWo;SEK]DkSwxuwYuyBOGjuXlWdsOF\\SxL_QVDQl]N@qkWTknaxn]usXXAtowpxTlJH\\MbdXS\\b:g^qwbnA[Iym[AfhqsEO`QWb^vmwGpqHhvQid^`pP_Fvi[PoViVmVamx:;uwWYq]rAyrUoeYQioUCWQioUb]Wf][uVauJIimuV^cF_Ceu_C\\KYFGTicB==D:wiIqF[aU\\sGEAF_MewgIywxiic`cTZivfuGmeH>mvamx:;uywYy]hcUt@Sh`es<?GD?EukXfKWOQg?oIwMyZwVIqebAukWF`[SR?VhQHB?wkKbe;I]WXg<J:HYfiJ^dJt<YsqK\\xo^@rHeo<AkQDuuyRDAVpAJRYoQuO>uRAUvFImm<WPaoSLUn@W;xqxQyEdOT]p:YKi\\q:xqxQixFy^Y\\mwl;_bI?`thhj>juYZZquHAlsP]\\FgO^usYytWvD?xOQhh>iLoZCobr`tdgpR?pZGZpiwUyj;XZANv_ylYoraymyo[AwbAG_pwc>wcKWsYWkPi`d>faIyU?ejXyLnqdIeQowL@k^F\\mgwhnx?qu@hkD?rUgo<hvhBL_c^sH;_f^_fZAsKWFbWTaoCH_EsKBQuTQ]bAwb]ycykyJOVqaRNMB]Uu>?B:kyQSX=sHMuwCaUGCdnKC`eyreg;eRNMXauf>CGAGu=;vditeGTcOT_[XcQt?cTd_T;yeymQKHlK@yoytYEP]mrF\\qxQyeaqCFds>tjPkANm@FiZvtZNvuiqQhvhvjBawHgreAp]ael^d<>`tinJFqEI^L`lSYZZanCWlj`hcQd^n^`NfuqxgAmvFil>ZZ^`n^\\uphgQrEy_y`kB@kBVhQHBECN[x<kgCoi@WucIulsT=]VXeBwwYWQwsYFJYsCmvd=c^gVpABRoeXocTcHd=B:Kb=WbKGeSGUbEyjIv=IXZAJ`oZKfl:WsJv_NYo^hbPooKVcqirCieHFlSamI_c=qlMIkJ^ZZ_ceoxxIllAmw>ZH^]r>\\WOqnGrUvgvHj`fcT@vGy`Ya_lpkqxpqHqEA>_B>CR:AwuyB=yE\\og<uXisT`QcB_s]?VtYrHehwETGyr?mvdnmSyw<nmsVh`NeqpgGXhaqs[?tZHbbwuxhqsxhC_b_@xlgcY^dqIh@ij^`hvA\\ogZ]WuNWlu`^\\P`oGyPOA@qC>`ph`yvu^`cL`u?^uoXgQ_qqquu_[y_bP>b_P\\Fw\\>y_Sy\\A`sV`aSX?OksUqhDrbLJgQWtUNFyuOmwl=k^EVPAJrpXgQuLtoueytiXvYxIyQ`]o@@kDMwOPqx=ofIvBXqSHqRULweUhQXBPsFixN`Sf]QTxQwDOuupCEsFQM:tvIymIPmoTW\\mrFHMrTYpaWKhvtdmHtYvIxAlurUvG\\Pb=t:tXhauktVs\\RNMRpLWOlRw`ly<OhQnwtlJhma=lsPN\\PpktYqiNR\\k\\lUbpv?Py;lWlul=]NUTp@<rWYqqUveyoyprphWUATupXg=qtPaoPgOAdapcW^dd`dCnmXpmRN`^?[dvdh`kMwnHGnUwphovfvJwVjQU=OcjiXOAFCueGgCkCxlud=]TdECtWYRuYrqB:XugEuuybGawqFjnWwPUqoWWAXuqxg]wUyPhpUwPkuuxhIrEYsEDv[IvBtKItjDeNCinB`RnaKfiWNAMxQVO]YxYuS\\sYiXCdqTlT<hkTxQe`VspLhqqF`M=HLGUjv<tr<t=mwl=k^eNCaU:AJZiv_ijXdQt=SoXQ\\LO=dYU`JZmwHAUVUSCabH_^ZxbrgbsXc\\NihFscGeRW\\wkwxY>=j>uX;TLKhVl]pmHrJpL;@J:HYuPV[]PDPxP\\RnamPtwGXRpW^<Y_uHns?pa`u_MAAJB]RI]x`]RZ\\UfiWjENcdMUqslmuhMpvDOSDQReXZQO:<vgqPOANBLjFiLKDsIHJJ@kX@SeAVExP]Lo:<J`iwFhjbLpQ<lfTsLiYk=sFIPZpX?uTv`T]PjVifdv\\R>ZC@wcpjp`[<prPgj]y`n?uQViUowl?kD_cqw_QV_pye;>lyVwAViyAklIcP>ZqowVI_OqoB@oFHitVu]xgMPs:>jsVa\\gfhpjb`vP_wyPjn`W<i;WYyRhQ`q^^E>jWVap_bj?hjnqrQvE^eypsShZBTmKv?QgjgTE;IRsd<WrQMT^qGA?wcOtmWxj_xY?I:;rRoH[;Tc?uuyRN=Rl?BRsEYsckWVAQVwQyoAgTehdKIn=w:gXeqt[sFasRdODB?gN[ynoCbIuZOD:;VhqSpQBLEyqOw:iT^oV`QfdwdMKiNIxMWiVKfleRl?Bbiv_ibqmusuBAqcWSr;YbACTwOYo]cXcQviywIxpYuiUvrIx]QTOPR>uscioPErJEK:qsmypjMy`pShQXBpMeqUHHJExxXmZRfut^:F\\ON^EicZf[T^`:anCWljnhfAe^xnaXfcQt_@G[WBwDX=Y;sfIuePWf^KFdCb:uGa[iLuL:<VXqsEMPQUbkqt>we=iwnE;kEHhqxxqViFiECUBZmWhmGPygYucHieuSfDedd;utgXekvFtJCESC=kGhk?elddTJYoQOdP`b>wsb_heAf:>rYvnL>\\U`mhVho^b?gf_Q]j@hIoyY>_]Pe?@rPXdRN\\OF^Syc?AqkWvZyvayjKX^AOntgxdAat_xbNn\\Pnj^gRA`rFasF^j>`JvuvWxGnsWXaafdC_bna]<giWGthpnI^bK>ejXmwDOwIeycVARLoIUkYTeCtmH^ax?_R?Idf;BXGImmBmwnGXmqtW\\YqiqaTipew\\SwrEYsEXr?A\\S?jkvxuGZyGaTvkUvhmffhpjbIjVWjKVxqgvyIflqde@fRYubhfh@Kse^SC:WuqwWAuuxgY[uWiuyRiXf]Wf=tdgTeCgDMF\\wvNkUSiEgKRvCda]Dk?XqiVsW[^WvKAi>ynXYjQXpwNiqn[JXqVbVQhKOWAUepcWdkhW=D>;WnKE>_b>?Fb;GBMgl=cb_d@ahHCryChq=xMIveAEQqH>kuhKEsWS\\cbEYHRCHiqyJcR]sUfOCGgGuuyBoEAMh:;u]wRI;C<?T^mEKQbpCRJ;tlgVE]ylYsi;XquXQOgf\\xVPNdPY\\HR_uP>aUEerLhqk=mNIq``u_Dl<iyxMP;tThaV<iuKqLi]Pg`OqEaDi`Cqc;vgUqpGfkUv`@qpgWuZXtcAnMIwjhgUq`nfgTa\\yhypY]pawSYjuvhhAvYyyxypNg^KFdc>[<@jkfo=?ZN^[rXs;guCoa@WnbOm`@hRY[OGv^w_Swy@Fl?Olfy^^_yrIxR_pbG\\Tx`iogdWgUqpg^`Tf[@_kRFjMynIWvuxwxXrJH^=_ndFKOTdUDdiKwaUkmP;uk_Yyi@V<UqdQXQ`RDdpoaX\\lO`tn=iT]UjqT^KXqVjaDUI<v_XSQ@vdQwT]nWitOiLQxOayU>mUgPUo\\uxhYUMoL@kb`llYY;TxiAKXmxIiL^xVaIsVELcDlbLkRhYyxxi=TE@NrPWfeVh@kb`yM`O:lPf=uJtwwxxXlWWQq_MWuhXeqLXyYyiYnlWVAM:<XkQv?]J><xhhO\\TSLIopxMdPYsDRquOQToIlUOXqVLTZhMaQlkmN;uKaTQoljn@KNXqVLNE@NS=JV]qrEP\\Qv\\ATcPT_\\j>`jZ\\N^\\JOPOOMrOXOQ=prEx\\=J:MYtMQxDy^YLcPS\\Lnl<nPEKrUw_`yX=riyx@INettZTX?]n^LnbLVPsYYeKCbjUXnWdsONPHRlXW:TR=URkmvFIMvixQyUr@X[QZ:gkTf`jQxEy_=gnDys[hat_XOGA?cDATIOyOCxWqhE;icWs<ysAmWZis`]i@Sc^GhqQvg]EyoMTTUOljw@r[`rBPSDMl:<mUXmEtJAtJVTQp]KWTQp]RAqkWdnRiOKDS>qs@eZUgZ]NhMIgf>uoG[wO]A>hxidL`b;imyxgnFo<v_ayrI_`:_b?HclY]TqtPq\\OX_Qoj;ArMWb>otdtr;BXmsp=cIeiAwUIguNWiVKT:WBQwwZKyDMCfatd[cfeTOm_l@_LhyCpykyrYVv]xkxNbDOcD`du`^\\F[c_gOA]TQ`yA^vvgQ__FnbkI_i@^dfm<puyxtUvd<xkevf\\H^to\\Lhe=>aaosV^r@qr<yuYy]OOoNGjMXlMGn_I`kF`Lgl<_b`OtyHe__sYi\\EXsqP`jhxnO^tvtkYlu`^lPdkvthQfY_wg?ubDiehDkdu_E\\Sc]CwN=X>]VWaUnkhR[tv;DmoX>QVhqsR`TUyL<@NBiUPDU[PjXyqQQMN]R_tXAEmeHNl`QLhJ:AsBAScpX?]RlLMVQNBTkqir[axGeQpeUrhjPiPvhvhDkfVdkQafAaQ`[O@ZFpic^bhQhBd^CwgMYcGgc?Uv?YkkFGMe^MiP;H`kF@CxkIxLmd;]R`]vhaVAoYGUG=;B`qwBgbbKxT=RdSU?ciy:IwcSWMCTk]FE;bakSV?RoQwOIxoytYxPYaY=`tNaT:<r@hKU<PcMt^DoDAN\\DKFTY[POfatd\\MxPYQDtk]qkYkDqssarn\\WsdmBDR:lrnpViyMKYxL`_V@akO^@f[T^jEx\\iNb]HijwpPwvHimkxfIq]cPsZN^C>yrPgJYoKg^:>rVhmkP`QWbPafhiyIYdaPux@o`Yv\\Vho^bPXcl@Zr?wJI^F`]sNpBWi?QkOFlR@mbfdS^b^FlqPe?VbgP\\FW`o>\\Opt_YecAygabxA]MXfUwdMHqTN^Eq^S?ZnxpqxjXwoiNtxGv<iZN?oJGbdP`B@c\\FZXnkbqeIy]:oyr@j>gnovhai^RfbZheGw]>HyuPsWo;Et^SC:gutgX=yVYgY@_uVaU:;bZ;CroXgQEx;yZYBnawSYtfSyFwcIwRyqywIvcIwCsBAsBNIgMuBAwCYkHgsD?EDMmfFEbYweY[EV[EJqgWUIV]q\\HUdENLMnKio=HNB<rPYtC=qJ`l`tXs\\V;qoa`V\\yl]Eyq\\KHXW=YWyAkDUSl@Jriwqxu\\dQwdMXquXAqquwXLUoPW?@lJ@Lr@qr@VTapceVxxquxXiQn?UkP<pohp?ymymyCXPamsZYuiuq?XquXqcemSTP`_oSWpj@f;QZV^ar?\\HocH?wJIn=NplPpDaqXN^_N[kqh;wjjve:>rvieQ`fhDEmHiut_;EFOFX]gXEBoQBVavhsbBQvCKf>YVn[wUyhIsFH]e:MYtMIT[HbdwTipmTsxmQvAx=]ymycjxhiqu\\wlEPnBviywivXyhYqruiyY=;BnMIW[Yv]Yj_YsQXnIwMyvcWyJYwoAtdehJIwn=XoevcAC\\OvV_i[WRQIIuAfPECRIyhYSb_wCIRuEwSaFbqw[irSSIKWWJCxmYUK;WV;w[PlBQrkAygDxr<j:<tlhVE]kXdQTtwyxyxHu<yM:\\WTapCdkTdP<uoXeqZiwgikjAxj]Yyiyqqn_IXkEXB]SF]ONUjPUo?s`dLOdVpPqB`l`pS_dOTeTi@J=HT>ayWaw?vshGvhYsBi`B@gPgt=HvI@oF@cpV\\B>Zfwuxh]UypiwblOhl^k@Wf[hfEwlhf_MiiWoqvG]myvIyr>IkMFxKybYFvJIn=?iuiwqHfawfAHj=b`WIIgYv]YDciHyrAyvkwX_sVauNpmXpHwsEXqdpJDTKUVTujZux?XUryuKXMRtupPMvepTxny@kB<RlMUPlt>uU=<JFXW=YQyEkDQk^eQ:XdWPkpiwUYfuqxgAqwWypnwXiqU?wKotFpb]N]n>g:x_y`yLFv[IvRF`\\_Z@x[Ynk?V[P^aqq`axcYp[gpdeOi>^Z>^l[gr>oteHcJxZT`Zt?^AAf>yxuw_EieHFe:VjK_bNinu>yjyiaFlWxf>?i:p\\GYjwfvhVkBQgBot=>qZGr<^_YoqVvgxHy``^uYxmYx=?eR?e[ppTh`eOvywyuy]:>rQy`yQrnan^`^rIysImPIcDOc<gytixEhu`anCWL]erCtnaUiwtm[BLcdJAwPIrBoUPObOyBiGVFUwJ;YrCuCiULcdMUUHeFZMw`YHB=tw;i[swDieF]WwceBocogyX?xDMFdCGCQY:SXlMXJaisUXcoXAoDgKUZaysYx?Ouh[Ur?bdcTd?B:Kb<ObZYweYcgYuqWePWwoQYV[Ir=DKCDKcrhUtXquXkghog?oE>]TlcgdwltdLo@qQXW:QpyMv^qOAPschOaPLjLWO]S[@xA<JcHms@MoPO@TUHeNBaTSDloElf<JHTMp\\KexTiplduXruvWxXj=v:IJvEy_ylBhkGhrditeHpbEt\\\\kSTP@<RxAQ>XL`\\S:y\\rQZUp`gOrCYlaF`Z?r:>yuYy]xbIp]LhtC_nNNjZ>fFWwZ?:_YyiDbYhleVh?cDYE=GT>atGyVJ]uJaD?cWMuHYGb;AGcAvO[RPESlWlmPpl@pbEt\\\\ywyxYAoUuph\\WgeWEdOYHQmmVSpwiHX]qrRAqkUN`dST`jIqQuOj<Pjjiuqwu[xeypi`hhXyiyESCES;EkKV>KTMUTKQh_USfEulgfJaU?aRNmXTybsQF>YuSChCIwReXZQG@ui>IBwEw;?wr_d\\cIyuCMCB^;wl?DWsd<?CXuCB]TdKdGWBRQioxkiLRJ<p]urHDODAOM]MA=kbIug=ksHjCXwHXrMIsHTyxnZHnhdGqEOnlOvQYfkA]ypxRYdQYyiwmtAwXwq\\HyEN^ehr]yp>ha:XaqowNPgQ_bNokogoaykSXuh>v@iuu?ycAto^[dG\\^vhC_Dkuhkx_[UIwVc=cDUSlIbZWcM_eV_GqEC>]FKSUoOCiehDyiP;X[qeEAsCYHxcvO[f>KfbKVAIiasEE[B:kYTeCT_Bk=HbMfLQHu=Bn]Xn]rgWUq_SIYinEw<_b>wBqEXwKIFSCKCUywYo[g>sWQSY^;wl?hkAwGCiEIfl=VXqgE=yxuw=Wi=ibAmdQ[II_wTkBoOwKif>]xf_sX;BmOhl?xjiV@WYpaw;iiuuxDcg]Cxn]r>]FmccgOE=yUbOC:;eyWwLswdaTrgDuyoyiWGyMpXwMpOoDpZxY=PNmhrrQWo<mYyq;tr;\\NdTNLpS?txrLj:yq`AkNpvGpnOHPquTfloVIs>ywaTLJioXxqVi^S^yiAsG^bhOaG>ZrWqgg`FVqyyj;Ys[oqBpkEGblOeP^qWOxIWylxvI@ofalEXg:FkBGiV`wg?`rHixi[ZVxpor<AsX?b?IulO_KvwgxaH>ZRbB[rucwX[soYgPECB?CpaRqQyOCDK[wCAxA]T@asX;B?CRb[t=yxbYX\\KThGRGYB[aWiUbmEccuSwGB:_gEquEwhjqxTWfjKc:ug@gdjCiE=EIgC>MDlSY:[D?EDOYgQubAwbA[Iv[IJoeXDv[Iv`xv[Hn[pvhDjBPscdo]hOtyPEymXHXHqsRmUI\\oJtRhpnZ]rDY^]?`\\XdgweFwigp[N_w[Y^L`lSyo;^ep`gSHqqGb>o\\f?gEA^fVyan[AqoaP^dQtW^`IFxLXq^N`]XtqfhR^pfA\\hivT>x\\gXkieYTYkpvPMC@SdmVI<j=tJH\\PqqOB@s<hTjEpAum@IJRELoeLmmX@QP:LUkXSqPtk<VC]PLQplAtr<tWTKuyP>V]HaZ=_^AnySib>OpUFtd>]pN_;Vyifu;_soXqlwl=ofjWvho^ty_x>kuF]s>oWGtOVc@f``a`:`blNf:bBmXOcuV;xd=YxauhWxpmrDaUGcdoWUcEubyirAFL[XS=Ch?v>gD=We:iT]UGqEU>Mc@ABB]R_Qrbwd<GFB;rYyVM`W<pUhQXb`kbQPmEx`Ql=@qlu^dNqs>fOAp`@xno_Samy`b^oaF>j>_dh^dg@vFpsoOxaGiRXqmn\\KwlhAvQYfkAkt`hAX`?@eb`kfaaFNeXfkmGkc?oZQfIx]Ah`?xmPIbhQpB@[_af`>\\\\N^:>]mQdBniyFl:xuhyaD>ycg`B`wTnrc?rf>cPoo;VrQo]@IteGojWhnhrdHnGG\\biv^vhS_bnwm^GZJEF;Ux_YskhiuuH_v^aVRcc@QREyXfAu[cTc[RNmSWUSCAGpgIKud?GTeOVrsDfgbBiHRCHhesK]wy_XAkSpMWfsEVaBo[YW]vhScBoE\\CU:[EykYvtUx`MWMqnERgQuoHQ\\YQKdL\\=PD@mtHyFEpEaR:LJ:HoUxsZivj^mP^oVV`TfbvxqxaZphmCOjWhkDVkAn`@gy:v`sXs\\NnA?cP>ZQqoWWkoWwPInmwvHQdgQlB`_B_hVO[L^hSwkWo_<>cJiFocEER>=ha_X?GTCGc\\?ccSeHEV]Itr=ub_BFywQAbyyT>evN_VqCbRIuSIF^[F>MgWIDKgbCmSu]YrYYXgxBMYmkhXwrdWBQAFB;rFquoItpofI_u_CDKYVBmD:suwuxW]yqyiyinxDkb@UXqOTPPWuk^hPiuTflviQq><JRpt]pKthtmylsPN\\LYLDsHEJiYuqxKutXharYxYxgpdgt<hogGv;?bq^gRA^OG_>_dHf`CNx:xmPWj>gePn]qyf\\Xk@qZGXZWi^gXkXpwAXZQG`]WssCjCgM=GXAWTEU`QcB?wc]FeIBnUXmUrewgxOcPegTErEYsEKUgohJYbB_dGegL;DSiHF;RxiCYcrCUsDYrUUgH?FoSHAMi<AwCoHXci;GGyoe<;BFgWWKbKgg<gVh?cBOS<=DsmSpIicixt=WoOUbaXt;itOiDiUHCdO=ulMG;STqsec[X==cYoT=oto[ikoI`qBlMxF?gbqv:GiwQEjqwLEewiXtCD]oYFGb;AG\\=TmAR>mXGSvBsC^EDr]yPGF:kutgXEsvIyvYOGbGT]oBd[Tb?F_qwEaDy;R>mv[=HD?cHWS;MXTmDvgUn;WL[v;chD=rc?YWHUWTjexXlDfg>v]qsoF`jHiZVbA`[xIkwhk;YsHF^AAf>ws@fljyiyQoEf\\Axv[V[;Yvq`j;>`]V^=Vv@ik=QsOX_GWj:WoOQgF>]j>ZmxfIqj]Xn]`\\__lcni:@k^xnIQs?yZeycZysMGk:>jHihvGxOwst@hOAuxfvO`dPOfhhu?wy?yZKHm]?bAPex>muqb=>ubHam@_So[Xvq_^q@>h\\arC@uwXiqn`iouF`tNad^pn`PvQyeygrhiuuHxhYqiQcOoZKFervdGh_`ixe?jBqo[SOQBxAIS?chUhqIvniSW_u_GG<Iu>cI@cGGoR`mc;sGNUx<agxGvFsY>mDBMhX;RisGi[gYuiXsGw_xLEfpieusX\\ixQyUAigUuh^?G]_SkyGBKFseEwoXQSVQuE?]YdiIRIub?HoWUg[xc]E:YT<qVLsXuSBwoD>EvpMYpKEPEXAyC=Um]hMa`laTs=Yvq`jw<jSHmS@xkIOt<ObxpqxPlTPmdndT:]FvOhukYyUi_Ku@OY]sFIAcCUEHMV\\Qi]AsBqsMWinSgMsetuCwyDY[rgaxf]bsIi\\EwZorFsY><m^EJjLN\\LJKHlK@sDQYjuVYiquuxjdXdaT>]R>=SOmJKDUStPAUQvuQZHLx\\wNLKoPS:qr]HxbqQqyMV]SDUlu`PeHXudQUtWhlQB@yNYYbPw_ajOXRU@ReAremOC`OS`Va@jIemtdjHdMt<NuTQUdxdit=<JVtQx]MTdk@TUqpW?eoTGcKobSPfQN`KGyl?wDO[@qoHHbLpaUn[pPgFWiop`XWgJGchQpfNmhqehNyhNa:X`CNiN_hm?rIyg??rYis;owldLEvkYU\\IVZMHmSHkYvIwI\\ausWX:;bTgHeMfYuix=Xj=hFyU`[y:CDOwIqWtmGH[ewk[wEgiG;BbYtr;BYoXegBGggTmvDaGImVHmEXaULcc]sTiQrEIuXsIygD;?FisFsWs\\KGokEyGIJ[Xc?x=[RNmIS[c\\kvfAc?yXUyG:]D;?TYuDFYwQABOUGrSsWMe?AsHYHZ=uDWrRYYkqHVeHp;yc]V>KWtIxqaESuBXsiGaE:sHgMu>oSWOI;qtPqDUoHgMY\\QiWQioUHQEE`UrI;DKEypySfiWFwUu]DqWtm=vfuW=wgtmt;YGoey_qGe_uEYHRCH`eXFkhX`JAUQolTGTWDpJOHQATPSuKXtqGaM:dTddLLTLMDvgiwGdldIxqYmBLj:Tj;AVhPPF;yd^ws<AiosRKcEQOB:;ERCT?sEoEgCSYUkeLkGHGtbKvYYwIWV=]Sv[wf]TRmIbGHTwbrEsWmDKEe\\IxUasqEBUcc@=YuUQwYykuKE]Ky]R^EMv]Uo<Uw\\oclRy`LF<JRELoOig>k<ixNn[yfxbFdNF`oSTSE\\Mv[oTC;eMyHVGvI?sDESp[CFQsOWGKgeWgU^gIasFASGQmgNOgFKFL=FUchDswq]C?Qh;ec[qvbUcMsHn=wlSWikhWGSLWinOX_YuyoGZeRNiTBKBjiWiOYbuUEyThQdB?sFlXM<kTeo@MR<MjcxRj@rWXQq=vgiwgElw@jfQR`LpvDxcxxjlXo]KHpUEeJ:\\krEpdlueAT=lpDtmHaW[qwE=mxyVxAKGtUnAoGpyGQoBaUKDlsAxriO[uKZ@ODhrHusnUv@iKbepTEoDAN\\dje@w`AjYpR>=VbUsZ<J:QnwtlKyVKIJ^<whIsVEmvmTY\\q`MKyuMn]K_=y]LT:TpIYvMlMXlK;=LZ<K<LuphWETMUxJu`PR\\KBXkEXRAqkWdsWmJKDlChmGPKMxUCTR]ARI\\qqpyrlkVeqEpsyiuExynqoIxld=YydY=lT^yt]ExrAyQXl:<jKuO?TVNiyeeNC@stHmw<JpAwKYJ:<XfAuk\\h[XZVhmY^k=ifawfA@r:AbnawSYtVifJF\\OFtkppiNgtIqZ_sdA]VPkQYfjQx=?]mQDGCgQg;qR;sf>whYgS<Yieqc=]D;wHUgT;YyWKWBiULCDC]RlWW:sTf?U;ouwWY=UfKASkWIC=xTKB\\SwJgde=rQsiYGrdWBQAB:csdOYZmTY?XrUiTusiYgAewy_XUSbPgE<mSXGDiobQ]rqgidIR_OGtEeHCdoKvkYemCbNOCy@kfXs`XvqDPcyYa<lKXV:xlmhQ`exgxk`IrPyPFLskXwc@wqiy;\\V^AMjQXRxK`yxe=nBpMIMn<\\QxUSrULBHrZ=rqtuvUj`dST@rQytQlMXlM?pM>]RlUwPusYTm@ip>=oiXKhunaUnyQv=@mwhy\\\\k@UwsYQsaY\\MM@lOGpR@mk;dO<]QkTqi=Q=S;_FuIgYOIoMG`msVGcXiiupSaXr>IkMDxTYWiHR_PT[YtIuQOPoFLN\\xNDloZakGXnU=nQUrD=PD@rqXuh<VJQx==SCAsKXqnPTuPXuNyiFaBfuw`e>xdpWr\\x`UFb]WsSFdB`lBOpM?r;Ir;AmoVgPNqnGw<v\\Qv\\VVap_sNqhZAr;^oXgqTOklNsNVqJHkfXutXrQI`_ytM?sDi`<ytOWjsvg>XnK?n_omk@cJiu=yq`yb[naoq]<giW?xMAKKUAUUsWs\\Kd?scYQDpAB`kF`KfHeet;B:sVauVbaXt;B:YGi_i<wuyuqNeVJDLO@ueik<<xEAmP<oTErCDktaOnqUn=JEpxVMj_hUtdYaqycawratu=KlQX<yK=Uml\\yKDOV`V;<pLenD=SB=S:<lYYMrytYuY;<JHdMt\\JuUYuEoDA^nac<giWGpc_gE_hexvIVjK_rQxiVXrjilA?nEasOXqnP\\Kyf_Qf:Qtb_ethl;vigpZepjofb?v\\xqs_NdtFs<>vexoxPkgYuqXZ:nrGX]AHsMx^]PeoPgR>`Z?Z@`[SN^OG]>smSXpwh;yYuatAahQUW=qSgOrYyVM?t_mxX]EyoedsXcuSnuGAAb[WsICvniSw[IW_wjYrjofb?w`AFqEU>]TH;sp[CF]TN]D\\Of\\?TgOUo[XgQuOmcLKSGwtJ;Dcssc?YWpyklJQQTlDVe>vMp_[?]JFd_@ucp?cVaIEj[Y_IDfIijUChKEU[gWCtFchvIIgqFK;r]yH:IX:SS?wEZKF_Mtaev\\iyYwSZUscaR:;RQOIx=ydwVW;ibMsAiXoEY@SF@igsKcysS_Kr;qTGgT=QeZGVOSsvGY??sV;YvqHm=BVahcUTCwtgqtgWesOsjSEx=bB_dE]D?]GuyvDkivYvfKxFOF<cIWCHiwU=]bsYsuYi:AWNCxxyyH=VwIdU;hMUOCAn@=Y[PU?DUeMNdtWr]ypTX:\\TcPSpEk[@NB<PR\\K`QO=aWrIZ>G`QqWSy]]ChMwl?ViUf<athehJYik=bfsf>gRK]rauiWGrlwYh?RgODjsxGoBbAUUyTlQIBOsukEygsvUDBGtb]GKYrLSrYLN:<WJEuWtqyhy<LUQAo:`wvTNx\\ujMLiqoulkFa]Lxtlymyx_\\Guyvd:>ZmNiPifrebIh^EeyyFeSGEmcWQDKCe?WiMgEP_Cf]cIKI@ORgODjGvb]ItwssyBQSdLaFeGVkquEAeogy\\;BZYhhihJYh[eFCqxG]RPwRLIi:wIyaym]Tf?UKksHqsr_YsQH:;VlavCAUl_VC_T_=LlTKOPS:AoQPjkPYRUTrUqRYv\\MXtLqGIyATMIpujTyxxt@uU=yLyxm?<Jvxt[pJ@\\R>Lmwum>]VSaNE<jMqnGUrlivEIP]mrF<uSIuSPueuthhk?YkQTSOmJKDlSePgPwCxQ@yq:pl[lUrxle=rutQWtr^hKa<lOXWXXSWmYuDXMTlplm><JF`YkPO@uqN\\WPhyJDloE\\:^esPh_n\\gNe>piwQy;gox?`sAiwPioAhhausVphYyexoxPjZ>[R@`[Ojch_eV_EVf@ak;xnax^VhmWHtmxfI_^_f^ShpHN^LoZivfu_oRNt>V\\Tid=@^:Vg\\xo]itsWyKvhuVnFwxmXxVO``^ownZK_ZXAgTG]YnhDf_qWvKN\\KGy^Fe:^kIxkA?cB?cKph]HtB`uVSMMGWKIn=CEsDh[RWQioUCowimqsu;uvGQvaymysRiquuPhmuvHkQqUuesfeXJDll@oOMJ`\\pepkYljndjaXlWls`<wKiXpqQvqY\\DnFmpy=vliMvhpdAKlak\\LqQyxAyvWYWm\\yKDTCHSP<J=Qr<ApquwXQNgYwQyoA=Yr=qSmxSpmXpkxeytIvuywyxjuXquHoWunMIVCQl_<msTX`LunHW=pjGTM\\EulhVRyqyuQH\\Mr<VPPUB@SSPUPUx<yM]yU:Ul:?cIqs=AmOI`B`yoa\\lXxXxyN@xCX]c@]pPvjNpmakbwdMY]YaxdxZoPk[ykBPcHOp:>a_OsN^kWVaPveygyo^k@cGSEp;VrAx[AepcWTkfFEe\\mdwmcSSH@cUt_ppewTiLduQl]vBLXmUXEdpApj@PnlevDAkDPklTSg\\R^`UxloT\\oXluNTnhyUYxp\\LwdlUY=L?XwcDmIaqgXkCEWR<qnLMcIus=kbPwCHQi]P:hoTml;dMB@s<HSpYU]XYqqwRaqsUPxqyuyWrDQsDVDalc<QumxflPimuFxlYmYs`sqyppewT]r>arZMynIw?ml_lN`LrHqsHlWhmW?Puw]Yv=lR@mrAugmVauV=uoQyLt=LKdl>hkTejILQ@PVcAn@=tt<u\\AyGdMt`sTYkguVDmYgIxoXQS@wq@yZlw`mv\\pU:XMxxMRAKTTUoYtY=S>]xBDS<<VXmUXlQuawm\\J?dJ[UuphWBmSHmR`mV`lxgYuApxgYuQHyxqoYuqHHx]yr]yrYtY>pR]HOmhwHumxdMTeoPaxB<KB<OmhWMDll\\pCdx;ywiup>ey:tPbYplAPvev[]SyYvfLXGlralqhDTQhjxUSH<NsdOUdPv]UjPVjUVrTuUASNePKDUUDS<<nGhkGlVFAm;`qvDW@mryLX^AKLXlMHtZHR=<uRAu:qr@qJuxXiqrfHUm@V]UV=tMYtM^av^ANodPo@teQlLPlZYwuAyKXxadST`JWpSaMYVuqxeuFyw>@kfHT_tXA]oUDM;HNgLj:<JEtxVmRYhRA<lZXqA<Jj<M?]RWMq=xUIhr]Lgu>qOplGpyEo[\\QiDiaNGxn_rIVbU@rGIthIcu@^\\Ni\\FsxaifWuph_pwW<VZ=n^TytDYlaV[pp;YjATNn\\PNtMv=x;LJ<LJZUWeUkgYuqXnausX@J:Xxays]QuoXWB@kB@YfqXgiwgIViuWimtTIkBEMfaWN=mLiPFdS<`ukquIyNj]vdiUnEmoxKwQmPmrtYNq<lZXYjTVLhoD=RhHT>xoepJepjpdjqXWSimSAN\\dVL`O:lXdatCtMx=y[lSX`QCpjGTM<IsCI__iuthheVpwGqr@qZphgU[oHasFa;YtMYTOuAoCWKcCWDaKr=Yr=kghogRsHh]E\\KF\\;LmpV_mTADLKYtn]ogyjTpYh@MwYVFlSYat]mxH@u\\Tw^QM?=J:AsPeTK<v[AOoEk>]V?`NE<j]xRIpJ:\\sVHQm@slDRJ<Vj<ma]lvyrsysymy=dlDejXhQuMNuTQUdMt\\X:aqsUx^do;@kB<Jd@YtDVWAsB\\PXpxqLPmmMyYqjEtXXsR<LK<s[tUB@oNaJK]L?EqE@pNMYwpMTeoPLQWpKhpohPXQXR>mLfLwLiMniyxIw]AlhHMXaKKDrXPLN]R^eqr]yP@w`<lVauV=uRAuZatcXTL]wH@kBQv^tn_eQwena=UI@kbIS^DK:p`gGdsPh_GsIWxLF\\SO[iwlLhuRIdLixB@kXdf=FbycykyRsEw]xKKTLMT^Ou_CDKgrbMD^IBycg@scuOiI=BZyfOTlZtKcTs\\LNedNSiSZTX`as;]Wf]OviywIT_PSOPNqEJAar>ASOMKKDTsXnPEKB`wTljKUo\\=N:<YrQvfQjJ=MSiPFxP:@LKEmJ`_fIt]xjNWq\\N^l@cWVguIfxwy@>mtHyFGnk?ZwgpT^bpg[=wrTqilndA_bPajqGZQPZiQ^\\N^m?`Rfb>wr_@^sf_EnuhFyahiSYxA_dp?ivqljxZj@rKX^A?hpaW;BJUgPeG>wbAWSWMBKCTsofPECVKw??cFQSl?BR_eV_cxcYtpoWUqZqv`qJ:<SGeS?UwPiokpXgQUN=oJERdPTB@kB@kNdSlXq:xrGXMA`pn`PVpQwMMcDOc<SCES;IoMunZxteIxpYuiUSOKKDl\\ISpeKZpTehrYyYyik@ikUtLdukHpk@UypiwKPmTPO?EM_MkQALJDLKDUXlMyhNf?gnN][WgeWe^huPqtPnb]HddP`B@kB@kNvcl@ZRqnGW]Fx]yn]qvgXa`ohrAyr]imqou;Wuphg_P_=@kB@kBGx^V[:Xh`as;peixbZ?fZNj=XjK^]V^kZ@nZ>woQiFqmwVedP`BL>M;qGZAb:?B>ar>AviyiyXXaqs;<JdmtfHkpegMPo>N^\\N^\\NZANjhf\\X_bD_b>_fs?ivqlZa\\jqkWVaJn\\PnZwpeY_fSpcaXbgPeo@pqwwXWhQHb>_BCtwmVI;bYiYqiE@wCYkUfMrPQWo?EsKX^kVHaecmwl;cB?cB?wxShA;r]yrIWf]urHwcWmuxgYu]EsKX>au_=<CtwbCESCerHwyQ=r@qr@shheMhQPB@;]XYGu=;V?QcOCXdatcwrhsIkMv>[yvayFiU@CDKCDKcuamx:XXaqsR`QsMPlPplPkfTqquwXLN]TNkQsetoRXqFL>CDWvj;HcDOc<Wj@f[ZpdeH`p_wR_tbHd=>ZjowVEmuvHib;AV:]SF]Cv]Yv]sSmbS=xpKX\\KF\\Ss=Yvq_B=CRuAyrAVyqywAEoKWNkFGMe>ObvGGBKBt[XbAbsWXaQU^=y]KF\\KFl_TL_s>KT_OSO[ykyrY;iuuxhKV]UV[Kc\\KgOUg@sXquXckXI]R>]R>uCK_Wd;I:;XquXAUv@ic__u_CDKCDKcI<awqCbJCDKCDKEy<ABB]R>@S[=]LF\\KF\\c^[=>^KjB;F?ZK<RD:]>jN:@CZc:FL:M;R^:`<jB;F?ZK<RD:]>jN:@CZc:FL:M;R^:`<jB;F?ZK<RD:]NfpP:lSYpQWdkUtP@XkEXKvhqwHt]xbrvixai[hhlPpl@``_sR>itOi<UpmRIqewDOcDS`PkC@kB@k^HVoHJjuxhG``_sR^]r>h:Vuphg=ogho_TypiwkF`kFVttvwvXxHn`iouFxmyoySVqqww@isUx`kQuewoCAeoF\\KF\\KHyCNNOnE@l<i_hGrUYUqwWYq?yLY]jHun=ejDdLjPYoQWvYwYgZ:>aqowVNgPaoC@ob@_nVgPawcXuNYwoAtdgpJIwn?hoghovxU?^\\bb_CjAygerw;bIOtcaX:;BIlM:<j]tRH@NqtPQfpewfTw^n^`Nflevd@_dN_dkXuBqsHqjXwoiJKDLKDUTdR><R]HtBHKMlNZhREpLbhUupP:<NkDPKlXpmXjUXmUOnpoIxkILLMTLEhuHaxcYt[htdeSI@j:@JmulH]R>]RNmvNDL:trFHM=XTapS[ewTip_PuHanCUlZXtcaSIXwQyoQHT?`R>]R>MtkHlu@JmUMulXflYuiwq\\wSYpAdlddTldpuQytQNatNADocHo?PY;TlLPlZYweYUfqpfiwgIFlwLHkBR`eVogI:OfbKVfAuk?urGX]kXfXJ;ER;g_i?ujH^fgggGpwWypWdUIymyvkgwTi`>_b>?cWo?]R>]FSSggIBVSH`]CPugXecYuYwiDhkGhkfeQynOUg[EV[EZgtdEHn=wJ]SV?IKkEXkEjeXoerrGX]ADKCDKMfu;bC?cB?KdToWlJ@=L>PVUylgTU@HR=pJ;<sY<Ktiuquu?QmoTWJhmWhkHdMt<VXaqsukwdJvAOXqRH]R>]Vs=Yvqp\\AJbdJx=jB@[So]Xvqg@yT>b\\N>?cDwr:;S>Fl<A`:ZKF?ZK<RD:]NfpXZ<wlarZ=PZtPqtThQPfPlghog\\tdepViVJbfKC=;fSCc\\?c>ar>]f`ofDiUDgTmUXmUbiwgiYVAsy`KF\\Kf<AE:csb?FvIYuUY=ItKId;cfFGc\\?cFasF]FasF=;BvayvaVh?cB?cBQHj;BTGc;AVjcbysSIuSsWskOUHkCH;B:_v^aVrUYuUxn=HKClL<vG=N`MTjesYXn]XnFilRuq<xwktom`N\\LNdDM@<RmTvcuUmYvqA]KFtmHf:^^\\N>_D@GBJ?cB?cBEVR;BEII=GT>]t_WIrixR]I\\oGWIb;AGTgYYWb@cC<?FB;L<\\WgeW[Yv]YjQxUxEMEulhdjKAWndoQ<MR<WTuoZITcPT_\\YtIwahRTyMw=LKD\\sAxhbVSulMG;pWxTj>dUPHoGySeHR^utj\\XfhWXINIMQp]wBhVEql;AVj<NcDOCTUp`W;AykYvkpYwQYfMunHKplPsyMWxsxTi@x[YngtgmTgo@Xj=XZXQiei_MWe]qrGH`\\_rBPbeI\\KF\\K`iR>ZEIogvnL>`dgdFn]gywE_t_GfNQoR^siyu:ao[>tXquXnqxpq:>jDh\\eNn;Wj@>gPaoSNuphgEhvEyLkHf=E:;r?ir?ahXYrVgeWgSyqTegtIgUI?cB?c^wrM=rLKD?EDSGIsuSw]f_ev\\KXMIw\\CvI;bcgwMiSa=dPgdUMfgIc\\EuVoHhUt`gCditewbGSEp[dCqxB?cB?SX[w;[dJiiVUB<qffeGoqX>=BCOyf[tsaxiODgwY`YhH;XnWGUwydAtJATV?IkHwsyJY\\Y:xSxDy>axvYsitq>YuiuqWmNuQ^>cs<J^xV\\Lk\\EnU@QXYYiiQFLMn<snauEYsEmjd@kBFT;E:cF^AVeorSwst[IoeibAiN[CTmXbIgeiGY[uRcS<_ID]hYQhlmxfIU>cB?CeXWYsEY[[F^[fFqhI]R>`sIHJJMR<@NN@wN]wEdtd<rIU_>gePGpQIZD>ZvgpT^qJgo<^tdFw@`dSIp]wZHomvFkqouswblhiLF\\KFdSYvG?^_AlTg>_wT<Rx=uu=U;YxBqo[mVGtYSIuSASF]S>]Yv]Q\\MV\\=x_ylYMnuuxhAY_ilQ=PZ=r:TpgylB@kBrX;rlMg]eWy[siyuZ?sr;bxODGWBrgVEqDrIysIr@qr@kwhqwbwTioE`esTgb;WBAKR_OvYiC>]R>mdF=DEQWF?D?KteixJQO[Xd;itOipJQpf`of^r?ir[>_b>[Tfk`IqqIfjNkBpkEGblOeP^qW_`bO\\^I^cIgYWcJodYYg\\N^Lojaf]yhl<ha:hvVPe_>^\\>uMowl>kBDlOFvsdA]R>@S[=]LjB`<R>]>jN:@CZc:FL:M;R^b_ieKAB>iw?kShwsyQWn;ewud=o:Jf;By::[bZ;CRUipeWKgWNQgOUC<?FZEyliv?OuIoEwKcXeitErAyrAKEGoBOQgOUj=yZ?X[Q>Z:vrIx]AwuxhiK>\\J>ZAvZA^tfHeMvywywygstqiC@kB`l@HZj`auVpC>yhp`jPvO>vyWbmyqxwduvqWastnhfAk>`j>^esPh?vixIyaNeqpgGHx]yr]ilQoe;oeXomcgq:@j:^_Uopf@tew[V>a:`r>abrFasf\\dwygypYAtfHem^fawf]yrYvi>IumxfkPgOQ_bgpT_cX`aS>Zj_vBI\\rWiuWfOQoO?awOYwcykyRSd`cS<aesSXFqyXGcB?cNObmEBQwTamH;Sw@;BJSCqWwMKxUyUYEC>gXmSuhiwgiw[YweYC:;gREh\\KEn;OGWg@ppgWu\\GylivRn`f?]:>nYwqx?yIyixYjeytiX^Z>^:>Zj`hcQdnYwQy[evdh``gw_mV`MVjAv[@wvHUf]urGtNqEN[D>ofGUe\\cHocD:;H^=sJORo]TgOUOCl\\@p[Ur@\\kWTQPaWiylB@kBESRYJbdNK]JlMPXpyBQt=tYxxk\\DvitY]DyYmpv=lypUCmpalLqhmaut`hSUvDwJp>fdWxkIx;wjHf]jPf?Q[:Fy;wwaxmxc>CigWUqOvpiwUAYyiyqYcWqhUWeUYVqYgMIwZIv[ITtyH:]R>@JjxJJMUsHm:ylxiVjHNK<tYaJxPKbDudyMWaJfamXpqXEK>pj@Pv>IkMdjTqjFDM<xXYiYQtMy]ifxeyp];Ir;AoYwqxGnoo_X_qbOiwYpRyqywaxOycy^vqyuyw_PoU@kBdA;u=;SIaRNcRBKbJ=ggWSQoGBuSIurXgIu=hnEwLQFwwY?sgumTaoSWORqqwWIDSCECoxgYuysXGaR>@ojlx:LSCqtktqqlwcm_I^yryoaxoQygw>d_HiCqxUobHqmwVkZ@nZPbgo`pn`rWxGy`KF]SFk=xZIn\\tpri@boQW=B:IimHN\\^rMwxmovFI]nhgUq\\]nbF@ravM_dGEx>]jB<Ju=J_hNBDyaPVYpxBlW=<qtYJJlMqHN:ip\\myteNSqmjAqgaQUhMulXZavCGtmxfIQ^EqjFF]<huuxh]Xiqqwjwhqw_l`qwWypAxlQx<akSV`DhupGrG?^:>htaxc_phguTVZAn[>apcWtDanpO^\\N^t?jw>j_IlDg[n_ytqyW?r<N[Ya[lwaFihvQ_ygamFsHqs@Of\\O^FnZ=NlLPljhfEq\\Fwmxf]i`qlQ[@^[R>d^gyTh`eOvpiwUAhn__xxpKIsCI[Ex\\inbipew@tgXeq^qwqxUA[CF[;iwUypkpgWQaVWqpsTiheEXdatc[hcUt@cEt[X:arCWDK?eR?C:;Tegtb?T[ObSquiCDKCdL?hA;hvOCeqdy[tEWgYEvpuTyUhICB=;BUmhfEbYweYKB=SBKIh]uRfausWDmoVGQriwixQCoOirAvcIwcICAsBAwrhUhuuxhAuywYy[WgeWkqrUsWZ[Hn[DwUypibHuf=yDY]Y;;BRuixeIheutgbOUgPErIysIaxb]urGhSmuaCDK^^BxsmghxFZ:^xtganPeg^Hl?QREQhlOhJsDQsbZ?fZ;WnKeayuCGtJwYG=VtMDZawMwYGyeSSYxaGKEewugC?cBEDX_XvqTDke<kGiaTd=FbiBsWgZKF\\lT>xn:HkB@[cr:jBEVR<JC@;M[ZHmkq]UVx]yxR@kB@wSA`:NmChogh_:>^mV`MovD_oYGrqAqZYiH_b>_bIoru@jGabgpd=isGi[CIsCE:ItKIhBaEt_TtKfbKFmSHMCsCIsjUXmUYfAy>_R>]RNlJ:UPlixoiJ:TTB\\NmAXmUXmdYiHkB@kbIwR<JGASJ\\JrIysIrUYuUDqsHqlul]elfeWgEumyR>]RnakR<J_<nPUoSLTB@[KGq[@yU@b`qsWXk:Ar:?gnN]nfgTa\\KItKQHCDKLNlTO?uJ:ymxMyCTLalS>]V^]N\\MV\\=TipUw\\XbAt;xtfILKDLKhTM]X:\\msTX`ljItMHHr=xJ]\\Of\\KElLf<j]Xn]llhdUdtXc]R>?kFqbkxt:nv^avZAsKX^R``cOlchc_Pd[heuphBPkDP_pi`SIuSAsHqspfaQIwn?Z:fqXwgXQfC@KKGmcBAiW_sS^;fRABrUypiWR[C@;yrAyNKWqIxkIrsWXaQcwesnIwMIHoMwNQFgIB;CB`EgK?cB?cFyFgcGGKUgoThQH^EfRABraI`cKCTLalSndQqLMG@SCES;xnaxVSxKlaoQYwK<LJvTyt[QwdQU`Wup_BvuyDqYyABywBDuYyABy<yxisqqy?ET>MUTMMviywYsnUqP`RkHJJYsEYKdepTDSCEcox^_f^wnhJGfuWiu?uUYuQNgmWhmW`QGk:>ZQwdQgbxAvQ>vuydpYyA>yw>dtYyA>Y;yxismqyOOumyT:EhqCbRIuSIf[Ur@?uxgYuGgGAWnKVuqxgAcB?cJGhlKF\\KF\\SxL]WI;F:[SV?IKSBAkC>Uf@ecJafCUDvuxWyXBAsBArZIJEiUTDLKN^mHdn?Zfiuux`hguthjcVd`@^kF`KfxeytAqlgVeD`uRN^AViuWi>ob@o\\sfvf`\\vwyDqiyAZyxZDwiyAZyDYyilnv`>kDoqANmB@KKTZcrXUBB]jB@Sc@M:DkBF\\cJJF<]fj<JCjNBRmcFyeysEoUwPiHGKYSCDKCbysyvYThQh^UxOyTYERJ[BF=ejCRhQT^SxcyfYORJ[b<ucJAtJEiEQdN]Yv]ItyxiyCIuSI=Ir;IZoSWOIr[YrAhViVCmFj;Hj?sa=RJ[BFGEmkRhQt^CVj;EjCYlaV>cB?Cr;Ir;Cr;IrraymysOcHaUWTMUTkFF=e:OGODj=Xj=LmqtWHXRApKCiUPHufIumxJWUqpejyxqy\\J;=ritqvQTbEqbLkRPP_MKvayvAvZAv:pXgQu[Qv?YklaLeeRR<JEIlDeldDvexoxPrKXNA=XrAhbWt`h[txhiqkMynIWsWOm^q[WNa>hjEv\\\\pgWQqlwl\\FqTgpdG^[F^;axRypiwmVi^Covhiuu@gKQn?^ggggkyvYxi\\asSX`rqxUyg[qwhq_qGgLHan?wJGnyyygWupHZ:NioQw_Vh_OtrQyeyokvixaiFImmvZawsXhrQyeygkSV``?fpawSQhQp^SHf=qj[WupDx=y[yBV_IsMDgYuqwRuoXgADYsEisXcmVKGdKGbtep=ausXXEhUxTV@aKFQ]Pn\\f>e:XjAv[<IsCI[WNan?bPodP`rOPeSFlDi`qwhqGhkQv?QhQH^c`pn``kPeoPg\\qpgWu>qdgPeCXvAykQXq^Fs>ob@OkoQwOYlu`[SaijIrANfEqlgfvhVnVG]yniv@]V^]fN]GpbsXcK`bQp_W_r[Vb@`\\dWigipQarxgytIsNGlnP`mV`?gpTg_xqxUyg?PuU^`b?^x_ykyrlfd_f]:Nv@ikUfcIik@WnbYweY_xyuyiyYHogf`ofdnxpqx\\QaoSW^=gjPYjw>j_al;AFoXgQU^]V^=GhMWtGH]mrZWSQoGbuthgeVifBQv\\irE?xqypdhTePnYuqx=qpewT`u_DS`Ut`hSb]tbHLtexdiJiuWi]jAxj]YyiyqQXqfDu^av^AVOQoO=Ml\\VB\\J;=lu`MC]PimuVTuqxWAijEtL:<JAykYtrxhYuAtcXTaDmeTl@mUXmMFlJ=\\PTdS[pXAtJAdRWhKb<LQtLA`r>ar<ur=doPUk`hSUPNdLODmrDaOYPnaMJctkHmmvDkB@[BQsDQjmXpmn`h_uB@pj@`sXsL`sTipeG\\MV\\]gtQYqvFcMqnGGpvGyl_tbHd=F[CF[RPaoO_X?i[iZVPaoO[hn_hNhQxfpwlive@aysYxkFHlQtAw]\\Mt\\XBtWyhyp\\wfawj<XZARsXsM`uitqvQjNatN]KT\\PBmwL]NmIfy^jXwoA?gb?_NQgo^[@VZ`t`GfYuixMXQoFCsDQsD>]R>=vmysysRGQeoCv]Yv=gHemtZKGdKC[CF[pOIMXCHkC@JJ]V@pOYtMYTtlLYx\\K:hvFe[d?vRIp]?tcahRwqxga@n[V>kWYqqW_\\^ZXwqxg]]u]IhgUupOFyeydcr=iiVcXeqt?Ut`gkDeld<UqpWWljHdMdTV_MtjLMG@WNAoKlqvQxE=J:=Yr=QHemtV[P^_J_f:^el`fCNaoOw>viywisXcK`sthheAx]ykyNfoQwOAoOWoPnkWVa@H[Mn^:yuYyekvm;x=kY:Ad[SRJEh\\eRbgtd]Hb=t:cYuqp]tRH@sWMMSELXPJhtVfawfALLLL<pjGTM\\MynIwbxTipMxYyYyyDiUP`NH`MsLj^av^]Pb=t:lPplPjHpkHrhiuuHPemtf<uRGj;AfJXq>GssHqsHntgxdAkGhkOXqNFcrIysi\\sYfapfGQmDPaGneZQwOYorYyiyqk^gRA`sXcK`tuwwwxjIvavA\\wOynIbWPao?x`YmiOvWxhXIrnIWEiEUdF=Xj=HpuwXicnaxn]UyoYWCtKItBisGiROQgOevhcSlmixoi:;b^_f^ZSplKYx[?ZfvvFpb]NpmXp_q_=O\\gWuphrCYlaFhfAukVt]Hd]pbbytix]Hh]unZoPegvhCPlEwcIwr_XcQ@vayvavhcNlbGt\\dmyvIyDdUijEv<KgNEg\\ST?MxSmhfEEvgiwGt_WSQCiEEdNmV`mFNMoIdSdepTlR]HT`Pk^Yv^av>tQytQViquuLUupheRqqwWivhDSlER;ERjixoirpiwUiSgMYwpMAtKX\\TVixkiVGxn:XsKHSMpN[XTapSb`UsPPLQtLAptexd]wTipETUqpWOXqnDSr@qr@npewTijTamV`mZIwcIU^huTeyuyuyqRQqoWET_PSO\\uvHYMDlKHlJUoOAwUypi`u_HS\\imqmu;Ux`iskw_y`reyoypkbAwb__T_pBVkPf_LXqnFcSfk@__UopFVZAn[>hkGPpxsWUipernGWMATsOX_]tdgLHpMwLkSXPaMVBAl[LXQpNShoUup<]L?Gd]pZ\\Wf]GxXYiiI>cC?AnATcnVpBwcIw_nol]n_hn[AqkWVjAxjAN_QooFH[Mn^ZYkinq:gpdgtJ^\\N^jCYlaVrYyuYfat_xJxobWgZvxg?snArJH>ChDeddKfWgeW?U[OR?ChgUupxqxQyEmwl`V_`p[=VtuxhiOtIysIkpmXpMV?QkOdrXiquUkkHpkPXQh^Ux`io\\ewthh_TYuUYk[Hn[Pv\\hbE`vhFclWEPk:\\rmyvIYsWMk^axteqrlYvAYkPX_Qs\\pR]HLepTgPOx]ykyr\\mXpmpVinCmvaxmxMLepDcwfaw>uUYuUk]sRGH\\MWdMgViVSgsHieucR:cRXSBAkCNcRksYb;eCYdaScxkIxTYuUYkhWUqpD`ySAOeMjbLOb=YoMN\\LN\\Lvo<j>]R>]RDUr:<S>]R>]nj\\K:`R>C?GV:J^:^<ZB;B?JPUSJ\\JvQxEyOlulkauxdynYTNyoYuUhQPB@sDDP:LLKEmDPkDPjTeohlXHTUcXJGMR<MJtdXdaxVyoQ\\J;LMGpJQuoXeONqu]xRI\\KT\\Pb`lOc^Yr:;S>eVdEsLgFRsHh]EpawSYbUwHiMsTUci>pqxpiftp^Z;?rNH_MOsbPnlI^qv`QowL>kBofF>j>_d`OtMYtkYtIwa[_tbHdbQt_X[Px_YogTopvGyl_cWPaOvrIx]A@^B>\\>Frn`yTiPKiquwHsVauVrOitOvoytYuRLMTLGwogBwsbEudhcR_QK=IuSIM]xRIpj;AV:akSTPZYweYKiuWi]SUpPg@TwtkXPJxHX]qJtqxgo]Xn]jOhlOb]pbG@hjAv;y^xxnkXfAQfOQoOSWOIoAuoMB=SBkiuquuOKWewUyoIxcynYt<ehf[Ur?Di_ilQCVcEWCTmoVG]R?eR[kHpkDicinQDV_eVHYmqvr`XcQTKhwi\\Ur@L;DJ;<Xn]X>Ywixatfmh@tlirEx\\]pfGQmJAgn>[Gf;sWXaIMQhesTh?RJ[BvaxMySbetdgDnKEGkYvIxAyFxwV\\Khx]C:_RNmVPigUubJAtJ]tbpJtyxiyk_XSQPnZMqkquwXY]iuqueTgpdG^[R:MR<MBtuxhiC]GtBowWYQDMSDnuwX]UqpgWr_YsQHtuxH?tpwGWMi>wIyaQp`WSWgPao;Ql_VcJinEw\\VAqkWZuxhiqrQyeygkIoasavkHjhfawf]gPeoPbv_ivn`gOu>XvAyk]iyqyuAHtb_i\\YidGt\\hZXGi_i\\v?y[yj_pyxaixIyaA]j>f:nkWVa@@tJAdvHx@Y]RFal_^`fcT`j=yjIVbNfbFh]unpJYg\\Wf]GphgUSeqsW@qdgSUj]xbITFoEwKun_yAyEy]rNGGM=HgMMrTYpaOx`ylYSFmmvDMelTf@OnhmItQvAL]ybIXpaws\\XbAp[_pii^b^Gv>O^\\P`LaqsWhkYqiqqMfbK_\\mWhmgbiv_iFhaqsWpn_IlKHl\\gqtgxDfq`yoypyLftdgprgwTuNqXtaxcED:?EWcEgMYWWf]WfbwteiSeaXbAt;]CF[CNcC@Sbcgg@ecTKvnIwMiSIIBBWEqkWNcRK]DQkGV=Gt?ir?cqmwVIGkYyc;YwIwMyf?ehTeGhIumwRNcRK]wXiiu?Ij=v:UtteTd_TKsymyeyaDteWwOqCHlKHl?ppoIsatmRpmAeR?Ek:\\r_TSP@mTqtfHU]LWnnnaIlKHl\\Pegp\\i_urHfdWymysyfbOPc_n^^^^BPnbNk;Ir;QvditeX[gYymySirB?cBCTNcRkkGhkS>;VtyY[KFLcRK]VI;FKcdCWxays]KItKEwUyp<JjHpknuwXi]GsLh^I_iWIumxfK>\\J>j:@j:VdU?eR?]VauVAhpaWatP;ER;CQsDQStmuEYsE>gb?GR_OTOKWEmSHmGpuIAqcWSRr=Yr[Iv\\QmYYETKETr:HJ=LSWYKRupheUMyqw]Yv=J:dXdatc\\tPhlOhJwpUiMWe`UsPPdlTf@WtmMKDL;TnKAkmyvIYN]TN=tlh^j[XbAPrSIuSaxrQvEx_D`mDogNAoKGodw^\\Vw\\W^qGZ>_fWnlfFe<`qv`arYyuYmTabK_jwhqwnvFIm=foPWedhwUQuTq\\to_BNbkhgIXa_XwZAvJOowycWPaOftexdinhRG]OPc_OaOieZ@qUf_XnoQ?\\>xrphagapnGjnaxn?Z:yxYyiIpnGWmPNe`pdeX[wvhlOhdFtpFkBG]RYZB_b_plQxlAhlevd\\Yuiwq?Ip]wrFwk]yrIXrYyUQeoSW:;BpmXp=HR[C?oUUUh`eSVuixeEQygYuHogesSX@CgcGgBSCESGmOEeqtgWc]h=cF_IiXuEJ;D:Gh]hrAuMw]T^iQN=oJEJCDKClnaQYwpMkEXkendxp:ipeutDduGeYZAr;<oNMONWNsEYsErYyuYvlivEACCCCc[xBKCDKGMgyMCdoMV:[F\\OTuiwqwujuxh@Mt\\XbLWQqoW=wKcaGwn;XZ=VZKv\\Qvj]wRIHVqiwUESIuSAWQTQNIoMuJwQyoYRF]SFLn]Xnk<V:AJnPWOQoFuSUmxgYuQlqxpqbIt]xJxIyayMVmqvEMyYyYG^dN_d`rUAmnFGWeqsW\\ywywyh[tXqfGUEvAx=yCRYiquGHmevCc;WBAkDcIbumUTcc@SBAkC>Ix]XViquw@YuiwqHxtYwiXrQytQ<Rxus^axcYtkTWPaOV=qjEJatSX`rlhVEAPmmvFQPSyQKDUalJ:M^dWcP`_;WqpgwDhaGYumxfI_]x^iRv^H_m:wsXhaKIp]wbnpgWQ]ON_N?rTh`e?^BNZxgyoydrXquTkirQCthgUu[TgPOxMycynldoKqsHqKyeyoyLvhqwHtsXXa]tcXdxPydYoaO[do]Xn]rAv=x[JhlOhdbhiLanC?gOQoOnesKt`Xcgat_x:?hj?hS`tWN\\LNjQqeug[WXaqobuqxgIdqpgWQb=aqFV]p^[Ex\\inrlhfEAdapcW^pdgtDVsQx_aw[ZF\\wFlZnatGvDF\\KF\\KFeonx:N\\KF<M[ZR>]R^?P:F<`<jB;F?ZK<RD:]>jN:@CZc:FLsyImr]]XvOHnAho;B:;B:MTKWDKWgJ;eZ3:\"\{\}<Drawing-Root>LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIjNSEiIi0lKUJPVU5EU19ZRzYjJCIiIUYqLSUtQk9VTkRTX1dJRFRIRzYjJCIlIWUoRiotJS5CT1VORFNfSEVJR0hURzYjJCIlIW8mRiotJSlDSElMRFJFTkc2Ig==</Drawing-Root></Image></Text-field>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L432" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Figure 2</Font>. The correlation energy recovered for each atom within DFT and DMC2.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L431" 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><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L83" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Conclusion</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L324" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">In this project, we discuss the algorithm technique, MCMC, the principles of VMC and DMC along with their applications to  simple first row atoms. It shows that VMC and DMC with decent trial wavefunctions can recover 99% of the correlation energy. Compared to post-HF methods and DFT methods, one advantage of quantum Monte Carlo methods is that no analytical integration is needed, which accelerate the calculation. The key task for VMC and DMC is to find decent trial functions and optimize the parameters more efficiently. </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L323" 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>
</Section>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">References</Text-field></Title><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L100" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">1, T. Pang, <Font italic="true">An Introduction to Quantum Monte Carlo Methods</Font> (IOP Publishing, Bristol, 2016)</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L113" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">2, J. Toulouse, R. Assaraf, and C. J. Umrigar, &quot;Introduction to the variational and diffusion Monte Carlo methods,&quot; Advances in Quantum Chemistry <Font bold="true">73,</Font> 285-314 (2016).</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L86" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">3, J. Liu, <Font italic="true">Monte Carlo Strategies In Scientific Computing</Font> (Springer, New York, 2001)</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L84" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">4, M. D. Brown, J. R. Trail, P. L\303\263pez R\303\255os, and R. J. Needs, &quot;Energies of the first row atoms from quantum Monte Carlo,&quot; J. Chem. Phys. </Font><Font bold="true">126</Font>, 224110 (2007).</Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L85" 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>