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LeftEnd.mw
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LeftEnd.mw
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<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="2019" 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=""fontweight" = "bold"" 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="1080" 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="> " 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"/>
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<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"/>
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<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="<default>"/>
</Task-table>
<Task/><Presentation-Block>
<Group hide-input="false" labelreference="L3" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">restart;
with(LinearAlgebra):
Left := proc(m::posint, n::posint)
local M0:= <<1>>, M1:= <<0>>, M2:= <<0>>, i, B;
global T, G;
local m0:= <<0>>, m1:= <<1>>, m2:= <<0>>, A;
for i to m do
local Z:= Matrix(2^(i-1)$2, 0);
(M2, M1, M0):= (<y*M0, Z; Z, Z>, <M2, x*M0; M0, Z>, <M1+M2, x*M0; M0, Z>)
od;
for i to m do
local z:= Matrix(2^(i-1)$2, 0);
(m2, m1, m0):= (<y*m0, z; z, z>, <m2, x*m0; m0, z>, <m1+m2, x*m0; m0, z>)
od;
A:= (M0+m0):
B:= (A)^n:
T:= simplify(subs({x=y,y=x},B[1, 1]))
end proc;
F := proc(P)
local temp, mindeg;
temp := select(term->member (degree(term,[x])-degree(term,[y]),[0,-1]), [op(p)]); mindeg := min(map(degree,temp,[x,y])); select(term->degree(term,[x,y])=mindeg, temp);
end proc;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" 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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJGR0YoZio2I0kiUEdGKDYkSSV0ZW1wR0YoSSdtaW5kZWdHRihGKEYoQyU+OCQtSSdzZWxlY3RHRiY2JGYqNiNJJXRlcm1HRihGKDYkSSlvcGVyYXRvckdGKEkmYXJyb3dHRihGKC1JJ21lbWJlckdGJjYkLCYtSSdkZWdyZWVHRiY2JDkkNyNJInhHRigiIiItRkU2JEZHNyNJInlHRighIiI3JCIiIUZPRihGKEYoNyMtSSNvcEdGJjYjSSJwR0YoPjglLUkkbWluR0YmNiMtSSRtYXBHRiY2JUZFRjY3JEZJRk4tRjg2JGYqRjtGKEY9RigvLUZFNiRGR0ZpblQjRihGKDYkRjNGWEY2RihGKEYoNyNGLg==</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkobWZlbmNlZEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXJvd0dGJDYmLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdRJmZhbHNlRicvRjZRJ25vcm1hbEYnRj4vJSVvcGVuR1EnJmxzcWI7RicvJSZjbG9zZUdRJyZyc3FiO0Yn">NyNJInBHNiI=</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
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<Group view="presentation" inline-output="false" labelreference="L79" 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>
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<Group view="presentation" hide-input="false" hide-output="false" inline-output="false" labelreference="L82" 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>
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</Output>
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</Output>
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<Group view="presentation" hide-input="false" hide-output="false" inline-output="false" labelreference="L83" 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>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY8LUkjbWlHRiQ2JVEiR0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiM2KC1JI21uR0YkNiRRJDE0NEYnRjktRjY2LVExJkludmlzaWJsZVRpbWVzO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZZLUklbXN1cEdGJDYlLUYsNiVRInhGJ0YvRjItRlI2JFEiOEYnRjkvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRlUtRmZuNiUtRiw2JVEieUYnRi9GMi1GUjYkUSI3RidGOUZeb0Y5LUY2Ni1RJyZwbHVzO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZdcC1GIzYoLUZSNiRRJTIzNjhGJ0Y5RlUtRmZuNiVGaG5GZm9GXm9GVUZhb0Y5RmlvLUYjNigtRlI2JFEmMTk2NDhGJ0Y5RlVGZHBGVS1GZm42JUZjby1GUjYkUSI2RidGOUZeb0Y5RmlvLUYjNigtRlI2JFEmNTY1ODRGJ0Y5RlUtRmZuNiVGaG5GXXFGXm9GVUZhb0Y5RmlvLUYjNigtRlI2JFEnMTQ0NTEyRidGOUZVRmVxRlVGW3FGOUZpby1GIzYoLUZSNiRRJzE1OTQwOEYnRjlGVUZlcUZVLUZmbjYlRmNvLUZSNiRRIjVGJ0Y5Rl5vRjlGaW8tRiM2KC1GUjYkUScxMDM3NDRGJ0Y5RlUtRmZuNiVGaG5GY3JGXm9GVUZbcUY5RmlvLUYjNigtRlI2JFEmNDQwMDBGJ0Y5RlVGW3NGVUZhckY5RmlvLUYjNigtRlI2JFElNTk1MkYnRjlGVUZbc0ZVLUZmbjYlRmNvLUZSNiRRIjRGJ0Y5Rl5vRjlGaW8tRiM2KC1GUjYkUSY0ODEyMEYnRjlGVS1GZm42JUZobkZpc0Zeb0ZVRmFyRjlGaW8tRiM2KC1GUjYkUSU4NDAwRidGOUZVRmF0RlVGZ3NGOUZpby1GIzYoLUZSNiRRJDU2MEYnRjlGVUZhdEZVLUZmbjYlRmNvLUZSNiRRIjNGJ0Y5Rl5vRjlGOQ==">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJHR0YoLDoqKCIkVyIiIiIpSSJ4R0YoIiIpRjEpSSJ5R0YoIiIoRjFGMSooIiVvQkYxKUYzRjdGMUY1RjFGMSooIiZbJz5GMUY6RjEpRjYiIidGMUYxKigiJiVlY0YxKUYzRj5GMUY1RjFGMSooIic3WDlGMUZBRjFGPUYxRjEqKCInMyVmIkYxRkFGMSlGNiIiJkYxRjEqKCInV1A1RjEpRjNGR0YxRj1GMUYxKigiJitTJUYxRkpGMUZGRjFGMSooIiVfZkYxRkpGMSlGNiIiJUYxRjEqKCImPyJbRjEpRjNGUEYxRkZGMUYxKigiJSslKUYxRlNGMUZPRjFGMSooIiRnJkYxRlNGMSlGNiIiJEYxRjE3I0Yu</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkobWZlbmNlZEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXJvd0dGJDYmLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdRJmZhbHNlRicvRjZRJ25vcm1hbEYnRj4vJSVvcGVuR1EnJmxzcWI7RicvJSZjbG9zZUdRJyZyc3FiO0Yn">NyNJInBHNiI=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" inline-output="false" labelreference="L80" 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>
</Worksheet>