Maple工程师培训（学习版）/Monte Carlo Pi Solution.mw

<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="17" minor="0"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="false" autoexpanding_sections="true">
<Hide name="Group Range"/>
<Hide name="Table Borders"/>
<Hide name="Annotations"/>
</View-Properties>
<MapleNet-Properties elisiondigitsbefore="100" labelling="true" indentamount="4" elisiontermsthreshold="10000" ansi="false" errorbreak="1" useclientjvm="true" echo="1" imaginaryunit="I" labelwidth="20" contextmenusize="automatic" plotdriver="opengl" elisiondigitsafter="100" plotoutput="terminal" helpbrowser="standard" rtablesize="10" elisiontermsbefore="100" elisiondigitsthreshold="10000" typesetting="standard" plotdevice="inline" verboseproc="1" showassumed="1" errorcursor="false" longdelim="true" plotoptions="" quiet="false" elisiontermsafter="100" screenwidth="79" preplot="" prettyprint="3" displayprecision="-1" screenpixelheight="1080" warnlevel="3" screenheight="25" latexwidth="6.0" postplot="" prompt="&gt; " ShowLabels="true"/>
<Styles>
<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="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="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="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="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="Warning" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" 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="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="true"/>
<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="Code" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[255,0,0]" italic="false" 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="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[40,120,40]" italic="false" opaque="false" readonly="true" 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="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="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" 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="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 Math" 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="Monospaced" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" 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="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="HyperlinkError" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" 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="Error" background="[255,255,255]" bold="false" executable="false" family="Monospaced" 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="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Serif" 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="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="Heading 4" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<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="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Serif" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Serif" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="16" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkWarning" background="[255,255,255]" bold="false" executable="false" family="Monospaced" 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="Serif" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" 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="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"/>
<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"/>
<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="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="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=""/>
<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="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="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="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="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="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="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="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="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="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="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="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="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="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="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="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="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="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=""/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" 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 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" 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 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" 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 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" 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 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
</Styles>
<Task-table>
    <Task-category name="&lt;default&gt;"/>
</Task-table>
<Task/>
<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Image height="69" width="800" zoomable="false" labelreference="L2" drawcaption="false" captionalignment="0" captionposition="1">MFNWtKUb<ob<R=MDLCdNVZZJ:PN>T:DuJERHBB`N\\@Nd\\QgmxXYJVMl]`QQlydxNV`YptVgpTsUj<QUB=nB@J=`RLDSZ\\RjHpk<VjyyRTVFhkMlrClwwpJV<rpYXg]Yg=P<TK[<Ls<U<=UBdRN@TTevO=uWewDUmHmKmTtWuYwxUOeXQuxnuxnamGAtYQWnmVt\\TdQwhyxgxOCDo>PScdnNPTDEO_`<JHLjrevJ\\lLMScJD;NZLOcc:M;J<LTDEO_Jc:ffhPdgvjZ`l=ieToi:WaAqnc_flHcoPo\\asLOtfWsAy]T_aVYcEyvqyl=`dDG__<E_L>lLOcSXqvyvGVmbgydhjn@gZxmpvwRfn@P^[n`XOrvHjtfoRxa:WrwihT`mgOtnWn?gioQhdvlLOccZD[>Z`A^yAyYyhMy[iyu<gaqwdbQrGVgbpdkAg`hvMYfuxbciqiFa?pcVoaYIatxoV>pLOccJcZL@jNPdDp\\RpcWaxJqhtvgWQ[TO`Vv^EVpGwmhyulXmHAahGgrhwEx`x>cYIySYlNQ[<N]SHgJilqga<WxuYiCodBpapqjmO\\^YnNPdD[L;_>DsMUY@IwUuxwDSoqJKYp]XtnXV^MlXyXKIovxWVELExJphw[XwhIuLTNYtuuxvCMyQYwiyNYMS`<NGARLUV`<nxIjXLy\\yWV=S=iqoQXZUScdnNbNJ<JgQxsYUX\\nIhyZqSTAp^EJw@Yo_pe_iDpquwtM^xdyvWVciYy\\ixnwuPhenoxKWsbyxhnaWxkyqvWYmcYnYAqO`\\aA`>^bLWd@^x@XtIxnyXqnaql?bEG__`lL;N:FhsQtGx[KIyewdLQm_VrnWt]XuBygo@w;xfqAtFWn?wfhVe>wetHw[NydiuIXtywalhkdPbJqs`WjXVip_jx_yjq`tavowxJ`dyQb<NnxvlWHh<GcxNccfNF__\\<blYxZ;cXcxwWiY?Vl?tYYT]iWAQgiYB`YYqOHkSt^WGhEYRowUQiEoGRuiDogwwxCKfDwRxwFcItWYFncufMtCSxAGwHyFpQtf=DJwvCKipIxg]xmwYSiR]cc`Cy;_FwycNCCK_xqwWrsdxUw?wFmyWKmUhOTDEIfaRTwi\\xuSUytdMY`uYmQELScdnNB;CI^sGvCdlQfDmijOh^?wkuBDMIw?WqihfEemgIswE>GvEyhxKrxAERqcBshLaEkMsdirn]yLIYnmyCUGcax]mdPKgyyGxGXUcIucHGUIXKuDudYaYyCTegfR_bAaF>MYXcWSCEagg]UD^[bAMRKwC[[BqGWUUhOqTPyiwgy_[xHWhPqbgid_iYtYCcSytuYV;wuiyQCCFSshkx_iyPgEHyDWkYIivVoS^wR^=dUCeMmTccfNBuId:_ECpUTYsFms[au=Iv_lOI<VSim@AWcaqxMyAyUyEKwuvauSjmSGhldYPRYUM]j^HSqxQkaOw<qwuOwEvpxRb=RgUYWIwAQtupsUAR=iYgqSZyty<x^dwRpWLylhqYf\\NlTYpukbxO;Dl\\lMFMRvdyKPkr=S?]QryPB<kB]qLitQyyrurEEmv]lLMkv\\rayMhusM`NJmlWmmQ]lvDs=AwTxLsmVpUXHhMEPniIlhmmSIYE@RNMLSPTDE?mH;CG_yDE=RvkumQvMMupwe[AWwkWv]YucYkqxAEWsyevmeXqyvYdbyTOyv<WDQmbuyYsyGx?R\\OU[OsJAFCouXKC`sfByWn;eZ=dQ[b^YrLoCL]F>wyDSR@]seAYxuYIcybyCXaRy_htESsEVDEG_Wc?abs?D_OFT=UfkFBsvZ?dvaFNAtkWvfIYHyXXidlwGgyX[osBoGpyFxUs=?XwmxQAyaEDIQTDEOcNZlxoIWgKHxwvwCaibhwbpi;avvYvP?xayki^aWpymqlAFw_viuidTWpj?mXwqkAubQdp`idgwWfgAw_x`^pQ_QnlB`b^Yb]p[;yywQtThfngxuyeIwrfn]hQwTqhmQdhAjEOaHGckx]TAhr^mUhhXolsWnuWugyoUiiY`nUivyqgJ^ui>^DYll@jsglFqygwqahgQHktO[gYn<na]N`wwqBWgAHygNkRifoW`yq[jFgkwr;oskOsQPdDScsRHCBs;s:qIVeE]sVOcsSydtqcJgFACINKXnQr[KymwTy?bxexfgXnyTYaiSoy[YYycT^QFb;cj]fxkT^;CBOyiYfi]Y[cysiFi[emaxMWyj]WaSdECUjoewEeEwb\\au\\SGowB<aUjuiVYhuQHC]VqevYkDZkWyMH;EexeemotxMctSdaeYIYG]WDcwsu_u;mBy=d?uuoCGQIIIaRgcXriV\\wC\\geZEcvWWP=vTOSDEEvgynUeN_B__dLMSsDLJXR?Lw_ulZxn^tMApSZhnrykqeq<pYgamoaXCynxPR]dullS=`Jxew?YMcYnQpqBpkSMXZMPUxkHhkKyNyqym\\xwxMVURIuWWQSYlyZyJbYryxx;xmUXwJMm^]MvxvLIN_yMC=PetvXqXCEuThJqUYJHPQQjFLLK`yhuskQTTIVCYRKtrkQNKeplpxaEvpANA`U^Ix=DmZLPgexBaM<TNaqQKQxdAs^\\L\\mWmYNg]UDyVFEO_`\\Z@\\JX^K>jCq[I>tHw_mPbZ>jtXkphhJArCIZbwcKQ`i>ujpjxiyqpe=w]tayo^x^qs\\_`>^f]ihi>eEwwygtSG^kAaJVvswy=VmbixioiUVlJV_exdiPysX^hh^Kv_:nrbfuv`wBWq@Yhsoes@nS_^vAa<OtZ^pO`^Sxwhxs@huhImiqtQW^jNeboaXaliI[A^^egv`VeZOk>YbQqm=@dUAk=xfealHGiVqcKfm`qtWpnSGlSVygwa=Vp=Y\\cyw@Nwjq]KH]iqlvfcH`npwyQP^modP^^BGqmIeHIv`F_Yx^_`lLOs[Qb:OktnrWnCSeEGWCIb<CBAMOTiSSxoumytlyvUxpyjbqjGuSKysX`YplpyesLHYF]PplMm`SwmlqeogAOdmpiqqIUtByJ^Ao]pkTXTsIUZ@NE>kgPttXo_HkD`_bOhyQqAi^qXq:FpUvnWGml`gVqtP`^BNlsyrfYkI_cT?uMiyghsKxZZI]j?^BNdXF^TXsR`ZNv^BnhUOhhNwli`;>kWVgBGbl`[YagqHntHyuOnFgiFHwGPyHPiwVhVfj_Qc=Og>H_=Oml^jSxhLawMyu]xekqpcqiCWb<`buFnC_yPnvrArj`mbomEo[>HvLh\\co^yhgE_\\V`qramhWiX_^oX^His_Vph?q<fhtPmcFtWvtb^]PfoU@wcgnNdLHQM<lwEpaxwTDT`mQgXk=TmpPv>UqiASF<ODhiIF`UAxswit@xpOhQnc?pkN_s]qpbIh?avoxfhXvIGfj^IGY`ucuAsYmYFwyxyvygyEcilivQCxqyGYexOMITEDJ_htyvTKrsWeVqBSeYqWuViYSuumocYWs:MSS=bbWssWdkQfPsFA[cN;cwQXBIBmSXUWgcGgBUFVKHhgwB[CK;dHSUoWuVAWPMea;sRYHKis?[DPyw:;Y[AdQKS[Sgl[FpkTmADWsDROiTYSJyi]wF`]ifEG^WR`_VuwcCWST?hYmR]gVCkCpYY`]EBMs>aIQgWKci\\GsiShaqcBwIcYu\\WYo=eaMtwuTB?craXMWtD]DVWsl?svyd?qWLOFECDIgIrAFyiwY[E^gdewTYKHjUHsCH;Uuq_W[OUwoSemcykeqgIoAy]atf]Hbebdut:OWYIvLqg=eI@EYlsW[QRTMhfEUCodISTs[e`YtxGDJSiLiRKYRWmwiix<iYB]vKIX_UH`aVcKI<OGSWBAYxF=inYcIIuPqvVIGMsskEIAAbXeR[GsVmBOmXqqvSWfn_y:WdWKR@uFa]HB;sKOUoOR=gioMgP]ITKwgwXOutGyhVQSqCgIyfyqxM[xDcRx[WGudWMy`gyIKXEEI^Qdcmh\\sv@KsLqWBESnwSdSEK=vSMTnqcE[VuiUU;EgUB^kvmEVo;C`ygeYRZ[eiqwmSHoWYHqyZSvR[hEYSsme`cY@=XVeFkguwkulmFPqeR[bWKeuEIg=xVWDsgShCSKGXwgbwyiuaiHUYI;U<CFVird_bSqdBUEQ_cA?iNGXLOd@mI^GYq[R=GGMsvCgY\\sr<OimYfNcUvKy_mRu;B@oHWYYisYY;I>aB^MWlMdUQBjaW;GumKCbgwvmxSmBOyB=?bZ]Ihii]qCtCVwQyJ[ragheATIGTaCrRegycwnWRteIIsX;ai<ihxEwewUw=TeAIVovMqIK;DDgIrwCV[Uu;X_ssG;I]ib:wDs_s:srVghUaYfIXcyrDATwow[[wfudnKVy]ca?SnYGogg<ugBKFeCYXYcG[r[GtniDcHTIepDeQoPKwTpq]mpekGEtfUp?UnMYpkLn[YoqxYmht\\MnkdPUAnC\\wqTvKyTiHToPU[ywwLwueUwurRdxoatrpqxpmtdTfYuXIUD]Uj<tEURduMlajFyMbIndxv_mUoysxyraIyiYUNDvbLLXQL`MUUmpfenMmSXAto<mfqV_Pp^lQWIjoaqBTSSUk>Ty_LWQujUdTFIR_UtkEo:itD]nFLjE=L^HNUDj;luOtnv\\utdSoYn`\\piiJs\\N:YLgqYU\\S@\\tqqlFxo^xNC=jO=LNMl^AJKmpWhwxdRx=NhxSB]K>Ym]ajBux]DKCpjC@vWEpTyLA`MjxgZNygfwiwnYHl`?c@A[@x^TymSnxsgm@oaLHyD?c>yxUOdai^vycfgZ\\vZfXgmApRPadhgL@s<VsMObBpoYY[shvoOsnGu;W_<f[=hZf@ZYEyIv>KUKqLdey=TJAdnxVKUFB;cO[twGR;GYf?UYkS<oHoGDbcBhuXcox]QUXIXmisnGxFYHI?IJWYj_vPWwiwI^cXVkgmIgeMBl=I;cFs=dHQxwuexsx=YIcIcaux^mewsU;?vqyiliBNYtUYSUwXfqfIyybqWDKt<=tTwdPYCQyg[WCIuICOGOOs[SEq[hiYXyKiEoHiuuWqR:mcX]IFudWwXdcBXebYUEXOY=oxNUuUQufEyvmGBcrnUf?UdD_TfaES?V\\MDx?yNyUJGCRwInOBG;d@ufU[yu=VjweCuBBGs^kscEW^?HgoiIsxoATIOFMSYOEuMWhGMddAEbeIPgsY[f;cRD=TY[BoutNqxXQUOeyg?TyeiDUxNCE;yu?UbwMWuebUAhauwBcYyyiiGfmusxSGNQh^egxSFdktyGGlOX_iTYUfMmHfwfewgvyg<mccGR@yXSWRt[V@;rx;UqQeBcwSyCJIY\\KhSyXqGUNqDPWvXsFLytpefuOgVWRlkCnAuCgytaSdkyBQcsQWBegWAxGqh:IXhqhZMi_AbrqVZGBuURwigDcIycGBwhuAhGmBKiv;IhZWxP_IjQR<GIYcXn_EjeclKgXoc`gwtid:_xNebMOxAIGAQdJSyW?G[ye\\SF\\AvUohOestQRJ?FlkHDwXBMH^WWXifeyhT=EI]rCcTJOfCAhm=D_AYv?F]]HF=yg]qRQpCiNQmO[dSFYUqMy]`kZDwoywF]OfYx^XSZLNy<MSirv`lcDxdYtBESPpngdsfHmLMyM]XdTj:`tdePXeOA<Vw\\uB<s[AJXHRHaU<MXr@SXUmhIT>MKQqLyEVTuTT`VWlQl=qHynhIKB`s>AM?yUxPPAdW_HYdiw]YUwtoD`qA<XB\\twAjhtq[qQthxkxVlUwsitmmtLQv_dXtqvIuM`xSxUyp`u]UMGqNwQx@YLBYQ>\\J^\\NPW]uYcyFqIpgt?ieWuxxvYVqNp_wViWf[nyxkFaBQZQgh=OctWid`pRYx\\S;CCSGT^CfcoriwTKGbS]F][T_EReKXLQg_[tJuiquSFUHK?Ub?c<;r;YX]UTD?YNiDRKDn_VbwePsCoITYOFPShxwWBUd^Ocdwf_=sWARWUDKGePUcU;ctIRL]g`_BZIVdGvmiRwGxPeYGmhfeuPIXoIyquInIVtGyPYuV;HJseUCWsmBlOxR[f@evCAY;yBc[v??gmwRHuf?EsVYy=Ms<uh\\MGjGf<kTAmgCwSDYb>qtieEMgbmmS`EimEY`[Vs=wEAYBwFK=BGeEb?sleeW;y_SBcUC`YVH[vHaVMkCsAdH;diEEJkuF[U\\AfBgitIryekguuLLLa]Q<tjR@um]UZuwmTKLDVnUONasHmvdUYEIJIqm]ykKTPYQl`aU]uP?XYRQQEXScLRLLLLhL`tPKYpCdWpEns]sALJ>LN_qYm@VtPwdej>hmDLPnYMN\\v@MJMDT^lOLYv^QLKTUC@XHixM]Yo@TtxvnLTr\\J@qSCAN_LQ:@XBLTaLRVxrJMkL@w^YYkdPVxoFEmqHOO<pyejtux;\\vi`PxlLZ<NReQiLVhaJYakKhquEm:asY=qj@TQHnW=jfyO:]QlxVItx[@SU\\wkpXOLYyMmnEuxeXMmwVmscLOJaYFEoeAkt<v]YlolumEW=hMAIyElLnho\\YulQtpiMFIPmuooqqFiPNylot`p`\\gywK`aYPdC>c`YrDosKIduVfCVdBqskgsaAqB@mSggP>bNy_:qsCfxhYitIatGnT``uo^`Pa=xi?>o=`oO`o=`l:I^Iyt<Hb=PZouvei`isc]e[yfk;wt@PwQQdErZTm]EnfmUCdTYIRL=uveS[`MnTKTYK[Au=]K`aTr<tUUONqpAxMt=sJ<lgXy_DRY=l[aTDEO>PNeeVxTOaPjuxS^`sCqS`mUSUoSPP]mWCQjqISaLlYpRFQQKtn\\\\Jduy^<On\\jCMsnYuGQjSEqyAw?MmP@OeexSmV>MQD<UMAnCxjE\\YWAtkPusPQ<DyOdt]<jmQkMmm_DKLAmCpj^uTd=TIxwGEO]mNWmMcQqwtJRtT>@KIIvbhTHiXAQJ=xvhlRCDML@KUDxDiOihRhHwPpuhIkBUq[EsM<KIhN=lYJDyn@s>HwOXYwdjBuscLTKDKMhOKdu=HVbuUStXXtKFdpc@KgHyjimkMVgAltLq\\ALB@N[MlaQWV]UMIQYmpYyn<Pv`@VcaM<]XA]Qt`N=IYiHnRQvBhmlPrktQFIK[qxFHX`mj=xPpuorLwbLYFeQQHvZTmpPRETXL<jVXXX]y\\MusXVAtMeeJZdW=qrGHPGhZY?utXemWlGwxVY\\<PbXGrYwpHxsCY\\qpcQ>c\\hwINolHbPPxTAfUIxbPyrhhU?trOm<Nw:vlbXrovlkxuKwowiktiwiWc:AtybkGU;IXJAGs?foWtR=vVWHIiIqui<?UnGVaihQQXYQd^OHg]Sjlr=iMaUQhlpI=PKUJcaXCpK@YM:xyHYUhEkWuknXwu=nAaOgmURqpV@o`aPHhp_QUsqtOxTlyuQqUpEUrxK_QvuhwelvDiJQdUNHux=KB]Q@YnMeMhAmXDSmIoWUJlxMQ]JmamhhVAdJCIjJhYgYuPhQM\\SflWs]VUExDdUaaXv`tN<JIMyT@K]yk;mmQDu]TQZhR``oJHq`lOFlP<@NftRRPXtDvfDWTyL?mTD`y?]UmQp^Eq?mJSLUFTUh\\YpLO[xu@eNgElvuqftRuPMGpkwuXxxmwmxSEuKtmD\\RGQs\\tKs=rudkn]NEYSXYKsMUS@MK<lSqN[eRn@O\\djn=T@UQbToYlWnLQK@NAEKyqJktJNhtceXQMTxMxspWotLSxu]ms>alC=XfQouhK=UWoTKP\\sTek<xmjylB`Y_\\j=\\KoDyjaw\\IS<`MpdKC=KFqJVttjXuFpP=hYyLjBUPZeSXaYMdXdnrpnw]O\\BqhLpcHF]C^f>agvNkYvwUVlhVqrNtlOsqH^vWlmYtpep_rOAIrgYkac@QRL]fwECGqhjiIvmFCSveyDOgwC?SMOERcg?er>?Cp?rUQyw?SAUCZQIVybxWFp]Y<?WuMwTWdByeEIbSWR\\sb[ys?IyV]FFqEEobgiXm;samDZoc;Qwr[Y?[UmaE:CSJOcaoHimsoCD;;R<;tmWG=AXdgBZYbswcgsFpOEg?RVgFu;gEQWH=TQ;RM;RUuH\\eSE_GbmrDwgUqBNwWUPm\\Dqe`tppYv?[x`w\\YkupiPAnF^meQZN_lG>hCxsBPuA>hS`esvrr>egHlun\\rvZ`>hh>^Wyd;gubxZ]_adPwj`Z^qjeoocWgqh]y^xcfsi_rpytXWr^i`AbMWyjeYKqBeMtq=fAasxqXairVuvTlQfuYPTmteupYq;MKfxyNlkSXso\\aFyn<aZ^fxgpaAv[VGm:>_NCSEYsyDtGBKCu`oF?Qss=VeqWd]sdWckCIMiGyAf:EDQwrqww\\Udb;WLmrVsvgYfPkCKIGewdJYGYwX\\cejOXCcTegtJUUjibeyw`wfqmcnghkayoUgcayoYWbyiNEYYYieITTCeTGf[qutci\\Uvk]xpYCHUfXquXQRk;h<SxlcRWUiAurcYuq]I<uHx[xncWWiIPkEmMxdgrnMsKYSbitIYICodf;E`uiP_G\\KhoUwPMy;iHQQtRWd=WV=qbG[xDYch[wrOhIWX:MFpcWTaDUqcviEaAGL?htcFIwRXCE;IIuQSHUiLAI_asOaGG[eBIFVcRdAsMQX>QfNcVniT^ah_ScVeFCESdCgCGDiAypafOIcNWXMMC`MWW]RpCTfqdj]BNwwjqGmmrOiG=UeIcR^WB`KT;WvJmUOCXZoWAifd]yqKg\\KHmUtTUC\\oEIIx;CHaiTGQwwCuVgETQWDAWh[cIkc_cE@IFvCWdiVwqIfwW>WEsKcCEcksdL_DaSBgsrYUf[YsJUy\\cELGvLkdPGy[ehrkT=AvSsIISgCGb\\cttSrmAUsEV`?db;vA?t;_YWuvouxVCF\\KR_ICQUcKsG=QDBuskhLxTO=AT@QqyqMshY]pPeDJE]TtDQguJldys@OMmNU@SFIXDqv=dwmQQnDQMDqTXsVaNXHUElJdUuMUmo<OYEwvtn;mR`IOZYPd=K=mli<KpIJZPqH`ppeRP<RNtv_tT_HJbpsrtxVAL>TVUiQqxuHav:QQTxL?LWP\\w\\pYQ@OSqPZeVYTukPOieYVMlZishPR=\\lTqyZeXtdS]QvTPur`NBQJytpfuLBMV_lQC<JkhMoEq:=uLLondS?qyZDNbtXDAW>\\OjpSXuKUqKFhWTiP>IQhQKy\\rtaK[hwCIyZux[pWutkH\\xRHU\\HmVxLpQU]uqWyjIXoO@SDLw>pJ;iqA\\ukXRUdukIpmuspxnBeMAMvvMo`tmpLPietn@NLULWpkQHyvpNE<l_eVXhlsToydmFeSDPjIiWuurcmpkToB@shPr:DKidoWYnM\\xAxlYUSYmqsIjFYVi`q_IRtYpi`u:uMrerS\\xatlV=RwiywQwVAjhtyYxm_Py``QmauTMyYuUuISUqqY\\umHmxTYWiuneuYhyDdtuMYttofYrvInSQnIaYaqVtatqmW[HpcpRu<mqlQ^tMsPxAaxaylVxRiAYCYxbxoixPPDRE\\v[YRy=x[mNYDWl\\Qv\\SiQYayoMywwqwALnemWh\\L\\DTwirYuYFpotQwQQuBxJBdkO<LDxKdXxIIQeaojQNyiuy\\YTpyxYtYHWexwLypvhOpYyetTvyl\\<`Kywcp`lFmVaxZ_piYoQWtgnKCinici]fqcicicnecdYsOuUuQEWggdYYqyWvWhJSRJGImAI@=g?UIkiClmvhWe?QUp=UWwfFOI_McpMfgSfmgchYd[IUYSC]MGLYuusfjyhN]GkIWlAuNMR`svj<qZDsBUWFMMJXk=tWghW:pt\\HwbeMLXO^AXBtoSTX[TSDMMPaXd<k@Yq_mMfXPx@KQeygpJ:QJeAtv=SDALVyRedytLyL=MLttn\\tMDx>Ej;htTQuBXUp`KLHpv]P<INnLuklUlDJk`No\\xWAPuInC@p>>\\NNm_GuOOiSV`gVl[pl<ixOAbIHvIQ\\RfoKgl\\v]LN`T?nTx^\\_f=QlQVc>ahJa[gHqcPkB@[SyvpxwrAjZamDx\\Io]RFg@_fr@l]g`o^t[imcquYHb<@jQ_q\\Q]H`ciF\\Kqqjq^WV\\>wdEpuc^[nOmSxfT?qXoZeOgYQm]Qvefu:V`jVpCY^Z>ZZGsO`f:h_uPeEPpMP]N`^ZWbSYd`^ZjnkiNc:_oYQ[HxcPIjYAk<fZJvZZifwYe@nZ@NuPokkoax>gi>bXwplAoCiMGYXIYkOhKyRnixAwusqcXEiP]FBiuYoHpmTmabpSVocy:mbUkbpUs<_u^GYHKu[Qe;cFAyt_sEpQETesPMHdWdWyH_Ae<eEbIHEQiH?iHIspwX^kWdos^ayAIyRqbtWd_EVf_gCitVmg[Idlsed_t;UBKiSP;UDAtX]XDIb[SCf?w@AbmmbCsb?kRSEU_WhnsE?=SBqtwSDnAymcBCybsEFq_YYoUoIxiCGLQhm?tsuexIrW_HRugLywwGv<kXZuCl[YMmirUs=Ie_]WTqhUoGyoyhMyowUxSf:oB>MtAqgtoexcxgYUtkhg]YtGRywy_wy[?FjIwQyUpaY?MRtAYjwrAyrbisieYuOBoYeR?WvirAuI<uGy?x<mF_sUK]f<[B;sugmFluD>QBryiaiiiYCokFY[y:ywJYeO;yAIhrkWVeWACgsYS?=Tj]wgKcR]iEEd;wIyYhI?xN;Ug]h]kdN=ulmSXAh;eh_=GfUyJOyHOxVMf[QWg]U\\WB<IBSefBSCM?fgUupIsYES`]g^kDSESIYx;QsLAX^IDlUbqOhiIiVWEl;dCcGC_SY=DJgRCASXmgHubZaXTKYssreIRWMWMUV>wS`Ud[?rJGKqXP;HPOPP]yJqUoS@NLqUBUpTuujLu?@Rw\\nvUjhEvEIJZdWwMMvttqUr:dYJ<k`dReTyg@PdhT^msOELPIlvLPmLLHDjjUnydRIqsr=V;TSj<QDllF@rqLuaUurTweMj_epC<uPUPXavouOD]JBhWglKpDLItreIM<EVoxKRqToaRRuTWaYqpva=WEetRXno\\SULYelMq`qO<KgmX`MsbxT\\XYBHsK`l`UqBhuQPun\\SyArslOW@S@DYmpYu<WAeOSHuv@J;pp>YrHhLo=YYDkVyX]`kYYWC`Yk>[sAoiNt^FnNFoiIx\\VkBngrpeENvuyj@FglOgLxah>vkP]D`oOYtfNf<hwvPwtFaSqpwf[vIrqaZZhgNIxc>w^npfaop>qZCBAcxaBZOsTEb>UIEOco=XHQGYGbdItAUxrSrFis?[cEWHBoDFibLoYESyU=TxMTU=doki]CceMd`aVguY]]CloxW[skSh>ODmMCmlsmpNZeu@UTEUoMdV^hlmDWFIMaQOAMtvMWIYJLpLM=P_EOw@kGEqF]QXTx\\dJCMwVLtndlv\\NLDWCaLmyknN`s_iaFq]IsaAwkiwuX[I^_FQmx`h=iqc`v]ay]yllxc?ycXfuKqc<oosXkXiyLYtS^saGsZwcOp_wouk^xOXqXPvJnpCGilwvbf`UgsHHh^yhhi]]xsXwhaOgsygtfiGfeowxMig_yirQkU>w?vri`nGXgIXfm_oyyxiym]Ox;QmVX_x`rZyel>wYnfGhZtIZ<FxleESVicRROUWmxPASMExcwSxMbCybuEgJmr_OWUiRD?tvOx\\ytjCTryxyAyVsw=CCsUvU_hpOB<OhfCrrAgTyB\\CF>]YXeIwabx=S<UXlyC@UXlYiD_xv=tbmVVIi;Stkwch=uJoIyWhXqtWKrReDGeCS_FdmwsOF_uewCFGqwvWEMsGdQhweRiyy<UIMKUSKdm]FTceXkFNII<IebQfiqH>kG:CwNUSMGcDGtx;BFuhfoD<YtAIR];tZ?snasGig;;tfeHLkikCekaC;;xWMV`SF\\=v@WcoWcDCbeMYNKys[R`=IX?fjsfKSWu[sYEVHixFwCS=Wlufx]SRsBH;dAoTJCIOWH[?HHYvOUVX_bm=BhIBpYyOSw<CS;uYt]S^eOyIvwHwrTlQEm:HwlIThlYqdkYXufPM:pMOmVYTLRLncqlpYWcHM<HjlUMdImEqqg<u`IkRQJNlrPMmtXWX@kyXw>pN?MtR`YCDt@Dw]UTbHweaohITsDOAIkvMveQQQYsNTP?qpsyt;UwPxnCAOL<O[Xo?Yj>ikZuTgHptdYemSh\\JVtX\\Mki<sv`kbUTwqjf`S_<jI<reMmRMXMiKJMp_uxqEpdtjZtyL=J:<L:`N\\@NdXWGEjjmoUdMcmo\\qRLQsLHjFhYoYjVXy;QlfTwaIVAYqMMP=anpDVYemSxK@Am;`M>pQMlrAyjUqUeHP:xj]LYKeW:mTW@MQTQY`OKhuQEQLpvMePC`wm`MgTq=<Mcyki`oFMqsmxeQp=pv_XtqMwZhVcqJNhXDdtU`YbyujAvMHouqQmYoiDn[dPkuSviyyuWUyPkTt^hm]TVsXLuQpaomxwyoxvJAkTxfYwq]Ipphyxxu\\cdWTuqYvArMGg`uTeudi;fIsixaYT[EtwbxIwTyeogwAwuCQy]uTKuUYuIWexoWgsUE:Sy@SRx[ukqYayWvWdC_BxkX_oETgcqaiqyh<QxhcH>MFeQUFssUkfygT>crLkDJ?dEcDcCbpYRLmc][X@QGouH:WU^=WZKHOyXA;FeaVhohHmfeEGlOgHKt:[sV=uC?WaSC<]DeQgbQvxowlGSKoxMmf:SHSwi<aEHgSLUXdSvH;tJAXjCeJUuagYGkgC]Rx?B;gHmOXh[UEycF=c<sUq;TAgfOYCvCRB=CFWtsGYPsHGCCCcSqQbpUhRaV<gi`GHuMgSAcRMHDIf;MHLAc>Gv\\EsGcXe?B?ORuag[Ax]KF^EsJKsmof@EfcwDnOIfgYjsGkSfcCwkCSwKg@CXmEEX]vmObOwYJcD`sCJaSrMUMITo@PgPK@HWN<kA\\SGAR^mVGuYgpT=QWr=RD\\UMtOQaVE\\v==Umxo>YpYqRqQpTAnJIMXik\\=m:\\whmTnEmo@WPPL;TsOauUqpTUXi`ou=R^@PFDm=MQlapaDnY<l[LosEqPYpB=SlquWPMIpTeUpPuS;\\oZhl:HqHIkA=WxPJeltaXN@ln[Apu`YstxkAReeMHdnRekATl@eR<dOJiJPEUm]ukEqaqMCHSlaosPl_<KIaQwaPqIMYlKV@nxunsLXqUPXxpxAyAiWmmJ]IkuEOEUonYx^dtHUOjhugpkD`WJHNUIRE`LSySwDmY<PyLOeDVpelOHTrTtpQnEpkXIyNEXyyK>xmwMYaAWtQsHuYydKHYmQHYxYjUqxJItepT^quRTr=YxcAu_UkNyopMJlAxpiqWDKBlTftwyMys`twUoQDW<ATiIwGeuyHWUqODLU;TlRTWx`VGmmVUXqTYGmunqrqlrFQvZyw[QmwdYZyXxuNTxKStWJYpHQQEHKHhXLuyAxSyMmHqQuyqLukQHOZhQIIjMMT@QTruncIl\\ySKxxlpwpLxUMUX@l\\TKwIqTdlvpYqUnV=lctpP`SyhvtDyp`r:hlFuq@ml><s<`n`Ts^eoB=sZMX;TqcuvfHNVdk:MM:xkgMPFMxausmHVaEM^MM^uW=UttHTg`oCTURhKUIKWXOV`KXIjkIkjpVilmSXrPIOVQWe\\X^DOKlvLDrdaYJ<TRMlj=r`hqx=PUPpCYRUmni<O[HL>=rXMMmeNNxjtLYeLNF]pAiXR`jt=PiTx=Up\\Dr`HSPUm[xsK\\UY<WDeSG\\ko]XADx:uydiLWXs]hVGAqFArumnhdo?EkFmlvTv=MtldXBTweHlBTjeEKNeTB@U\\MR[ass@Se\\l?Mx]YUdmNAHkWTxfdWAMwu<tsQW]xYO]RlmSD@TMhtcEN]dwX@xLMu^LT`AQMyS[LqE<J[LvqIqomQAQWkLRhpVWAVQiYqYqfHPBUx?DVg\\RDDYCQtH]S`=mtDUZttGhkthJ@IUg=pTpK:LrgqJBPX\\ypoUwTQLlIjV`s?@j:@rrPu?`PSDw<aofARCqX]Hw<uy;Lq[hykPXjXL[iMFIP=aYopKmAwm<Kq<snloolyHil:@ujqqRXRrxYtYLxhRmeNZtRDaYDtmmqwmmpUxkumSf\\wfMukalwmWlUM_`MYHUPDQyUL:\\pgAQduQxXM\\hxRqsk@uiin=hQSxrdamQDR@YPV]vhhr=HV]DR\\muu<RZLMOxlXXr]]Y`HmTLrqlo_DKNDKkYTqiOYxtAIS;TpnxUIakFMWMtOauxgxpXqRUmpfekIIkNHP@qxiPMgHkOamfPPxtMgutcDXwpOv@x_eWoinWUrJIRNPuWVfYAurAir_wSwfWhuxvblPuKPthNccw^_nvYXu`Vo?@gexc@ysmP]G@^_osMOurAsbNwIWukG_gG_Nyq>Ay_okcO[Bxcm?siWZuI_]?^momYFblIi[V`XheSvxpOeuXtFIbgxa?akIVpdFc]hcLw]CWiNN`yockF\\vwjCOtFx]sNmUAhthc]yy;qiRnrnAkbNuaWprWum?hfWrRh`ofsYwaBxv\\@vlhkyhj@fxK_ZgVmA_^j>fuotQqyJ^wmIbl^td@fuald?rRPw=AkdYrhHgYphcp[firqWxqOdgymbCn]T@oF]wUkCcxQgPQRnQxAYCGegfwy=;s=gFw;HmOCGqsFIXgStpkX<sSfOiuqRESB<SD?UsLqI\\[wuKVBoufGC_[cp]TFCwLQeM?cN;C[aumCvdsipSiD?CWUyVWgDsF:SRHaiHCcfGF;eD]oVkUb:;TDaiIUGAqUuuIpOVPCgh]Wr_VisvMEhH]yCwcemu_qic]xvWWyuG^ib>sSLge^CclosaYcQoGEihWQhKIhfGiP]wwMdlgsWqenCi\\idbaDACVE;dQsXK?GHqdWgt@wBiIiAWF:cwlkfr;D^AT:;VnEsAqiRwsRAxpWd`CtYMe@CCsMTtgwUqyN;BiUwRaWogEWOugurOqRjOuYOXjkrFcw@]tcsdNMfX=dg[s;sd^ss?]wRHtk`UlIpiTvo]NFynNMJLxxZaSuaJLqoQIuIuVYPKKXxJYs<lPN=ngLPiAQ[mQhyXKIm:`OYlwExoj`PvauwIpxMOl=p[etLLQmAm_`X@Qm_\\ysmuThrvIrEHx@XyYts[tJx]OQtR`eMsDSNLkJXofXWoisuxmZXSyqydMqlqlGEwaIO>`jfuwCaVAxWsUuUIuITR`AjJwy=QsSI][QhMqoi>s<X_hgeNirVGheymE>\\IaZjpsDNoNF[Lggp_ZCNnX^^BWcbHcBOlda^sHcJfkff_J`lSN_JpcEX[CNd]qhpfhk>jlI[VFdxH]^ouRwvHIxnNtKhtPapkWlKF_>>^>HkI^mAIblnhq^n\\^]LpmK?fW^v]Op_VbGYbEa[D>ktph:q`^Ab@Nu;GurI_n^[[@gTNj;>rsVvVva]YsJWp\\GrrW`Vqoww]THb^ytKa`>Ao_ybsQabFjuqfNgqMOgyNwY``YhqD`ffadYxv`XenhglHcu^dYpbNGvPy`<>fy?n`>gjpfBpZMp[IWy\\?iTWpJYdC`]Cia]A`Ygxfohngcv?bV^oIibGh`anmKqobwfn?lOp\\IHe:ifFntng]F?lNiZ:FqciotGfSh[mogIHgAVliVnOAgSvvmWcB_us?fwGedp^NnlNHwqAh:ochn^KpcZYlaAuJNrp_e>fb[Hj=vr^g_iiy_Qg\\`_savIxoyFjn`ZhVy]N`pXuvV_pYvEAkBvnx`ZFy^sqypg``o_;WhQ?gUhk`ftdi`ghtBId_`ojNeIVwFpmNQ`vnxZYjkhgp^wa>jNWeHF[oqw;xs;Xc<?a^YokYbbafH^vDvbZNdo_noHr@Hc_WmywrkiuWGyqxqiGskiik@nivcfHgTi]qfuNV_YqjGgpSPraQqTqqi^r=VvZqp;itp?qgqc<hevqbb_fHIxl?ZF?pH^xRHupvaR@meopi?lsG_xAc?WnZHeGgbl_UKTtyvkmI_cf]mEJCeEUFtwsf]U^[GhmdweWKuFXaIuCyh]TX;FRSI@qfmsxY?hn=ehiY`]F=_Er]xkwhw_d`wfa?E^?FCCvhIhCKi`qua;woyYyiSt=YuqefewC_dc?veer<cWpgHRYuemypabUqTh[cFMiP]CeYEaewDiVdivPcU\\qeTebPsCGKtTgbwaUpQuOUScihIyIoSiyYCQCtSCG;qEHOeQuTZOSKAGOygyky=wCKYBqiuEUupWwU?wMuYmyYbwWZweX]x\\wDkGuNIGagWFgcwigqgr]CTGcCGch?uHmuUHqwpWfPegDgeugWUqtVMF_qsaCeB_gNWSDauB[SLIc=AFLiSsMV`EScCUKWcFiYSOubMWmmUImcCmeScTq`K?MJbeLDUy]TPBaoFxlSlYI=maiVW=lv@oY]TjIQJxprILL@PDPloikn<v>mOseTWMujdoNdjZhp^qn_MuiesHPO@Ir^hL>UOraKPIYkDr`\\umDtd`Q]AsGET\\\\QYAyO=p@aJ:quNhTODTL`qDXvfmKZYunHl^@SUpVSumG<WS<Rn\\Y]moodoDLp[MVkxkWDqG<rApP=dvF<oH@uv@MJAY:yx<XpyUYKHoWLuaESIuoahMgIRj=tpIYj=sJexFXOp]jlyvOiQPQYFHo;`RUUydHLs=rs\\MkPSOYVmxp=@n;@jZhUOTvJqWiIQYXXX@mJPqHMvAMXWLwg=WZar<`S?QWm`V\\<LC@kYyv:\\yZ\\U:\\ymdOSHw>`vT@WkxUCDS]aJiHwAlvGxSkiT;TLOAushmEhjyhVGDUZTPXQqsYxUPk_YkGEs;LNCMqtLYKtvbDs]ymp]siPPY\\qHQof<JI<JwtvI=XlLU=anAXRopWXas`=OhXVqLrBpN?qRWMj`\\rG]UBQMoaR@xv\\<NMdW;DvkUuJTOMewqHNMEJHDQuXyPiok`rnmTUPjiqoC@MUxkS<NHpPUilmaP\\\\VM@rWAXgipk`rkmLfpmPiV<hrher`AmBYtPdNmqRrhw@<pGmNl]pAaOs<JedwALYFAR^EPAATAlQpxKpmY`DskLyHpQ]hORTjHESuaWrUUbMULHKVDTphOIiPI\\OTur[APYPqa<NlvsZpgMgjCqkugb;>`PhloYb^`mMxvxP_lOgBqkOfh`IpEGwaWemHk<AhYg_M^rtOwgieiIwQw\\wxjhii\\I]tPypxjbyZqaa[@c=gmdixXOaogsDoapGrZAZOYoO@usY[@VysHkivy_hxnpgoItggvYVqvG^QIZY>lQhgVWuxGd_WjqyoSOnHX\\gigV>dg?r;fadO\\HY]bYwtOtFNoxWpwHqTntQielqbTHmV@n?W[`yrS_yMXmcYwdYxwygxWjXxiHIqnQnQPgmIo_YcQ@tupuhXlba`TfctvwVYh\\X_ZVdXwjHq`>prgwevX`pxwSpmQqcZgZcXsNH[nx__OZoy^<_s@HubhcWGbDY_v^mAO`GnhqxsJawRn`ln\\hvpGgqLnkC@wjwr_Gt^`\\^n^Tyw?qc;g]D@\\SpxXHdFyp@_\\b^`MieE_\\:GhcVqgHiD>jqal<^kMndEG^]fg<agJfv\\@gSVtYV]p_lGgj^@[op]RgtY`gcgw?wkCfutVoBIqWx`gVbN?dX^]PI\\cHoHY_xA^>NaAfZFaq:HvkvlUp^AiZ:Iy>PZniq@WfZI]IFw:ImE?ZHYfGggTgjg?_mPfBn[vW_:^kA^\\bxbUGf@gdkFmkQiGHaONu=Nx[WreQuB@eJQcZa]Vivbx\\]IZlI`YghjHw=adEgwMwvIywkAuIafIP^v>^SVjVolxn]`pe=ihi^krhtjVv_h`dFtrOeYYlXgurfwvxwFWheoaO>srFZJaZD?xrqjCOZMNuZpnkV[=FoT@gsaiWajbwqq`nKQ][xc=hHGHbUVfwgBgemKH?IUVGcBGFDKU=Yv?qcmicPKFBAUc;d[QVA?WyMG^KRyqDGsseKDHIVL]vYswtsvM?cnKbsUCuSfuuxJAwXgi[oX=]FvMHMQHxWB:yfK;D:OXEKxf;W?;uUue;mFfob=qFdUh:aCAyV?WtgAg?CTZasTavuoi^kWS?yEKb=ST^sxrsHA?C:=ybWh\\aW;]G:SGTQi>eYLQfxEUAwVUWH=ihKysUSc=cG=kFS_foYTBQWqkr>cwpur?;FqaRM?RiARBIbXSHVWclIdAqr`UBImdiQyUCri;C>mtHGRLUTPof_?hHcwhUukksbSC`cbU_sV_wpoc=iXxhNZDuiLXKTjcIsOaMDIJkQnwERQIXkv[rNueow>wg^orPQfog^_gt<gwRgaVyuAgtDp^Cfywf`oIoMIcEwjbGw<Hinow@X\\\\htHfpw?bwothpe<yqannaGwmvuuXlXViPWgCocun`DQ\\u`fZPcuv^Mi]?iaIwrmxmf_pb_g`heOq`ExlcVZHvaowiygraqmGG_:xmpxixwe?alMpexqj_hynaqOYxsV_u`cTIybx`GwmTVjXpuXn]yhnEwlLYqyyqYqnUogvHjhoq[qZTHmHXgFpfaofcyjYyyXfuowrgax;yavYfPaZ[WerWnNOoWgemxesWvei`sGgp>wrh`eXr]GxwOgf_jpqkFPdopd_OlJqw>imyvg^O^rqfV^yDqppgfIaccamYva`>_:gqmQj^obS@saQnI^cHHkn>v^N[NhgAA^XYjN`jtN`ef_lGpbohsocoijPF`VI_cVuMfa`rO]ClCej]BvyDq=DUgRkWHpouYUvvmD;oc^_RkavxeXowW<ewUoWcGyYEtTCCJsbPwfweFvmBg?UgwT:yUO]IXAteOwX?B;=HxQDXoW=?H:qDoER]ITmKuISWD_DBcwfiwUaIXkbF_hF]hb;bpIEVWWvURRaTAYt>_fI=WYccxqEIWw=uB@SYw?GQob[sUZcUJaTZaEVMSEkvS_TcotGKgpwSmoH:EdNOgpcwS_WtagSCwkkFT=EQ;Ww;RxKW@ITwGVByCBscGou_[V^ynhIkpATLaLqyOJpk`Ht`IRCmUmEOFUUO<vqikYdkaLuO<kbQJBDNB=SbyW]]s?auqAmWtLehVcYo>EKJDuntSOMNFLspepVpoSMLFuvvuQxtLg=qXEt[iybEkN`S_P^^Wae>m?_wJG]snvug]rPitHo]Wy<wmUorviZEFwovgs`ogpsnf\\Eh_?>bnAi=nb_OZfFrHnu`Na=Qshw^AOhNhZZpfG_nLArN>jPO`]_hPQkkhhnnhQwpMQsnH]ch_Rfcph`Sw]DAiSirQvrn`^bygTo^e_gAXnm>cHOxraop_fCwnOyxvH`TX[K>Z[`rAie[w_tgcpifYIjXV`nIv<XkhN[aqfXGyRxkjIoBvk=ptIAyF`fGXeXWuMQuUpdAOuvXaNWxcwuB>cHYuxF[J^b;i`KGm=vjD@dB`nsIcTOb;GlrOy`fpkQ^aIqDxoEq\\Hyn]x^wO]dYwO_b=wo>i[cNtkOsThvnQvMy`^XpQi\\=``y?qIPwwF\\ZqZW@]WhG?FBAbxGXAYFnuVD]fcgxEmBbiuaaEAuEtqtwEwdyX]yykCgB[BDYSDaSEUy\\_sd;RJohyOt]WisCtfefhyefmTGQgYMysYRwYxcacourlmHoYGhMu>IVwUVISB?YsHeBk=HKIYtUytAw_sDx_ey;HAQunuww[XyiIySfcubF_WYQi?owrgxPKUr?WkcsFaRUyeWIxFOG]ax<]fjuwXgukWXueDSYhAqGSwIIotXsXFoiCqb@OTZwX^Sx@Dt\\ijE<WdMY`XWmtqfxtn`sZ\\ucXxr@rduYPqqfTLj`_=Fdnqu\\@ininrFfKpkLibtnv_O`yqZpFmghuUHdJGx>YnWvrD_pIhqGqoW>]JwZ:I[gvZ=xccHc=vbiPj@QrrVxHQ]I?vDgb=fg@FyPI`T?gMQmSWlrh[eNu]icCan=WlBfeph[kW[<HfQGyaftHpqDp`YNgT^\\WGf\\^nGglJ?aTy`RWt[aig>_h?pyqjXGjYIgvia`gkI@Ztq`]_i\\NjjgtWWZGIvTpxq@Zbvwg`bny\\`hcJaqZ_gtgk]@aDyZsGZK@pxF_Tyv=Qg\\_pp@bUp^cgk:ptB?\\Mn[HFbVQ[<wuJF\\dW`ngmwnmQnfGwxGNcipjHPvLav[Ftgqwoa]GyjmGtk__aQZ[fg`h^VVtBGfFGvdNdeo_jxg@AmuHq>Fr`A\\KYuowugouIpl=agfHsQWrC@o_qbuWpTNmB`l>GtqPrayiJv^sq`;Q^o?shogCpd??khhwGNkVv\\n?t\\OccVdoxmB@t`hcNVdTilN?s`vsQfm]Vt_hopxhUFrds`gI?uT?WicwhUqXX;cxeEfCINewx;t]mTnmWpUIAwvLqx=IvxCIZ[B>ihEgdSCwFiuJKecEyC[RukBcUsFmeTwT[?GZYd?qhEQbcYdk]uZAt:cGR=Eq=HYsTZaIJkEGsxQAwcgiMeW?]xdwhxKRmmwGES>;Igos?=EXYupsIUOiyiXUsTKQf_SSLuxKgUCWTyurTgsNYVfCBSoxwatwiY`kFyAY]gdtwEUif;KRcUy;kXZgyjaTyyirUYuWhvICESyciReuTKuSiuEU?WBsrLwV=IGaGtCyfXoRQsi[icneyouI^wwyUwUCvsuXYIYAcyDyWvWSK?cS?w_gudehsIUnGDEUXwoXgauOSIqwWZ=H>EuUwEIOrKSwB[VH=gGEEYEEYAX<IXNuCnuiQcsYwenoidUsIGFWiDTEtxsr^MtVIR`[GkOHWoRbguNMF=GUBadJArLiwYMH>?WDwsDMwp_ELeRNiiIwTF[brkUrQdt[RyoDgIsDUI?gsoUfvAxDkhkWeACxRGTbaXDkIAkiXwvMiGG[rd[F=uf_Iu>;y>CVbWELaHGItf_B=?HeYuKYV<UstaWTeBZmg;GXMOFyUBWCec;V:QGBUyC]tGGsKKun;VnsBg?FlCt<]Td[umErfotFAb:?HCKB[MW@CVNiFU_eIkc\\ABriX]MS_YeaiBnKE]aWpgR`CIYGxG=BCIgPMR:igoSHX=gO?hVMTUEYcUDd[GZ?Re=btCDWSCIaf[SV\\eDBeui[dp;WvyR>GEy=rneEOSS@udOIt>EUmsHeGWjac`aFjiVF;Gu_buoVnKTgsFaGcwkf[=SAsFY[HuQe`_GQ_d\\giZsSoQcCctEoHsCCN]gCkeBch_ERruc]oyXQcBgi]Aef;YlkveiVoaEPyWAqRoQxwatcoEeuElOiuEUEoVS]pByN[LtrYN_hvPln>xoU@Pu\\R@DrCMynhLCmqRxpZANb`lLMSsiRQPWTYmWmL:UMguKoLsPAQB`llPk^qQeLwrMO_auIij:IUluVDpN:llViQweTTIq]hYYQs?TJVdS`dwvHSy<VMUnwPWYMuxYnPds]PUIeQouMM<LMlqq]P]heN@kQWhMyxIyoewqIHl`OiuqlofhrAvfXxs`i]okMppyGh]PoBnlYq[>imyhqwgynQkExeEgs`Wjxhioydowi@oxLwgiwagFel`lp`awa\\iWunwuwOwrxt?Wx>ihXocVwtapmRa]mFxTWqxWbB^oWiwxHgUOtaArxwgnN][Ix[IpcGsxafDa]eajBif<q\\UIe?gk_qsBG_I?aHQpcGa>NdGw_^WiLhaQ@H=Fxcbfir@AsL;gN;HNIcN;iAsh_CGFIiicXHWcpUrFEe]Ye\\ErxgXBsrNgEMUxS[b=KEDGe:Aeo?g=OydKFVecI[eOsVRiyEUVhaBjoBE?scKC<Ux[GH]YUKyUKCfiwBhQCeaiGsbomC=UwK=EoOgaOfCisRagIqIM;tV;r>SSAuY<]Fgcu=Gg`wWFyX>cwXGW?GY?MB]gS[avuMggUCu]xlIIxUUMmEJCBJcc;SfW?VmkgD?V<;hBEhISCDIfc?vVqELMe^iY\\[t^]GJev\\gsjit:weBgt>?hiAcASDfcRpKGjcFE;er_GJeYkUrxqTFMFwsUpwIaYVEWTLaFA[xn]Hj?F[mvbYEUsHnigcEC@cRKksJqFhyFn_EpSCuMV[OBwMRUwbNSwLOTtCYK]sm]uVscgUTGeSl;XvugHAdBAFWub:mDkgtuUSp]YcueCGtvew_eGMwdtAIbeBkUXHatuerCMCBmrI]Fs?y[KHXqVCutFEd=;x?cVRUB^?dQscTYXmAukkCLsC?Ct;UF]SS\\ITDEG__X_GBcAx:?sE]bPIs_kHI_g^MWIMINiuC_sNCSpqr>[fOafwGG[es:kWPuGTKfwwCqwV:uweIgLasrUFoaiSsuayD[AY@EitSRS?SYyR`SHiSW[MtIyeH[cIwb<[UcUyQeGTwsx]FMCEuyrTeGXyI]OGCUuyarBabtEw@[hguwNMwxIXywbd?C[sd\\aWbcEZiCSAYtIEnetQoibwFUGCusX`IIaQt]sCy[rYywsWwHMukgYucGUEh\\SDbOuiyIxIvoCfSuttYTHEf?UcQ_R]MvJ;df?D@qhVGuSIujAYPqdfYBsiGlmeb;IISISWGBqGIWstsFsGH`muO?cR[DeUhB=WwMIFkTT]FjCt;[hB?epUFu[E?kY=Icv]R;[vkqDkCxbEejggXCWyUCHIF;?dpgCgYdJeH`qTMMwTwtFmDd]I:sxFAWZYuYeto=rYQV@ABk=dMkcJgHU[bH_uR=hbEEG?BnwCuecY[BFYYf;yACV:QB<uIAmXL_hamTYWB\\ADjoV@mbKGgfoBEcVnqto]Fb[yX;gP]cSKdSeUQCdySCBCbOQHnAeOIYNWUOKwveX<oxSCdF]HdKWUqsctt?trj]xWlnb=JhYKN<WixToDt:xm=AVgPnmDmMpt^<vRQkC@V_UrxUus<VM@NL=oc@tgaXGUlfXpv<rxuYGUy@AqQdu`Tx=uue\\o_LK\\qvR]Yw\\`t_k_^dG?tBAyHpdWFr_bGii@Iea=cuAwcUxe;yEAbrkFFUXs[iiURysVoGESOFNchbmrsmV[krISyWsS^AWo_TcECyag]YifADHgs`EViMUyefNASwEuy_bbaS<[IAaefsww]WiyYhyWfuUpccLCGKUC=OBgQhgUbIiBFURZyRK]RZaiG`wmqK=tvSQTDEO_AJb=RDPm@eLoiwBUJWeuTqrMmKbXw`hoSeW;mtjqRTHQNPJdTOAPyMuxWHYNQNtxXaaVdqQYAmBeVOXQpdQEUR=EMoMxEEUAEtCQQy]V\\M][AuvXhiOwxIrXP]U@d_gmYQdUIxLgeu`hrfhyYtZ>^D@ivFxVOisY]Qp[cA]PQoFxowgvDOawakm>wRYvI?hPooWNplna@sNoXROIGEdK[wusy_siFuUxysIIt^afHowjYvYcUEuWxUyuKH;oF^qyuuw[wbqcIJkWyew_sd@qv<gg=uUpsI@[VMoHJYhmSH[IxIwItACggIsadNIydSCFyhvsYI_Gy=d^CwHKCJsy\\kvBebn[DWkwI_HZ?FL[v>]X\\mI\\ciVqSgYDS;FEGbt;s=OevsscKh:;XwcWFegJKYP;VxGsTAcBUhmCuNID[?I[UEc=VUAHSoi;MG`esDoxNGUduBBUegEes_B:aU[kHsOBKCBjswmaXRAuKIu:Gbp[sW_Wxkc;OeQkhUkIPSVG]vRAtomSuQt^=BI_S;oDnAW\\UbpGRuOTkkI];I@cVcASPMIC;f_CEjcC]iw`ehVkVP?C=Cbk?bsQt\\oIJccDsvsARm=fG;BK?bS?GFmGaYvqeRUoC[gI:Cx=QW=KsF[c=sHMKCaewXQy=]TGwDm_H=WUi?IKGgLsdyoVlUVFAiZaurArZ_YJWBbeUb;clcs=awfMRGGEB=B<My\\]s`[c=YiwkBayceKRQUvveFX=g;SBC=hxGHP;H]UeWUEcWej?rpmG[wwmcGSqXyIr^QWPyc=cXVUfDetmMbMQwlID`?eCCeCoiaKD[EhUGRumuG?uvwXv=TdkFSWVfsIImB;AWU]vMGy[wXomGOsFLWebqQNMmuUNG`T^PWGXLIDxvdkBMWrquVDJSEQLeY]LScdnNpK>\\Rn=UGemE@sslm]<OY\\r^HjOEt;\\MDaktLJ?=MvqVtDJSeqZ=pguuZPYCMJZYr^<NgaQS<wBHOLySitxqmqtUKGYweISiXtvHu_mSupqsuishgyiqcWedqiv@]e>kZgtdgnhy[TO]cgmm_wlOwQw_:Ix>FsrhyCxvbysyhhEfeyAymGoayqtgwDWv]N^bqxUvgZxgVGi?fidymxygbhrjwrrYgQ_yQvbJ@ep`i?fqrQrE@iundvpimYZY^nIhyCy]lywi^ipyebanoY]bylHAamhmNQoyicF_kMyux_yiPrj_hiXqni_npyNYt\\gxrHndqxhi]Cah>qfmYmdg^vnyAytwAlXgytYctP^GibaAiKvrdQr`ojm?oe@s\\@jBIqiabDF_Bok_?gewmMGhTT[CtXWt>QyC;UjosCayNCrRYtJ_hqGVnWELUIMWRM?t<aIaSeDcTqgb=qetIxF?uF=R<CE<cWWcwbKHwGRraudsee;uSUemYT>Kb@iYWWR]wrMqiZSfG?bWKiSavDabXirsYI`OU[=eSqb[SRXGtJ[HFEEjid:qh_gyTyH>[bici:sC:;BB;RLCTJcD<QbxIftGcsgFoWto;C>SIYuBt[Fh;Bw;c@;uu[st?xQSgwAtv]COah]AIBSsbOiiGBHIDkWgIAWh=DsOW:WuVCD=of[cSh]bckCwYUKqCAAgdOVFadnMXw?yOarmib]sXS_eckDVOX@sX[wrEQyK=uEYuLGDOqbPmB>]WTAD?[tcYhImS:qVJ=wQQvXQG=sVbEWRafCmRkCu^gFRKRMCi;Sfg=vvSFdos`wWo[HKmftUI[Gti[xWiH_YvbmVfGwBwR[WBsUx^_cWYHGkSZ?Sk_YhISYsRUuV`gX:svxCd[uumGryCepCcFyV?uTsIXL]i?YXIyXnWUcEY:MxnKF?me;efNOTDES:MCeMCtCBS_IMcg<aW=]fqgFS<WUhosms\\`WUXXw@SfPs:\\VqLmcxvXhXfQpphYa\\OX<TZlp@aNZdxvdRv\\j<<MQdowLkxMybUqsqtWTmG]wleR^MlSitgYKdtoW_tpx_WqxbovJpmr@f:wvG>ZLVcsvmTh_X^j?Yx@@wIo_VAcy_ioi_gwj^glyqwmxcZhpexlMgpPwnCHxkOqoy^q>xpyur`wG`xtYsXqbiPiWY]rveAY^Ifa>wmyytyYcqveyY^T^]XnnyFyryyHh^fYauayQNtuyyZykbymxfxq^eHyZXiyHOyoxuvw]wHyQou;WjBocbo_:ikyNqHpysywxFbIqgYqsoaqlipixnqwypywnheiwL;tN_euQrQchskVUIinQdQgiVoguqyqaHSQisqRp]dAEqvarmDKjMkmyXd=QSalVlJWat;UXbXNI<n^iumLp=iqgLKJPofxv>hrLmPMQqJDLCIoBdKLEJrtV<dW\\\\P@qqVDJAxpWdPS=sKLNphV:EPVdnelr>EsQHl=@YB]kV\\r_YPbptuIQAijC@v@iW]uRleSZ<XFesMqyTlPlULudnq`pSisF<Sw=VoTNptr=pSjxvC@OulXIxnC`rJeo<YugHUHlJ;<vOLmIlKWXWn`KF=SBQj[MvVTMTyO?uvBDp>]RJhk\\Vg`>lqPZZIiforagw@AjC?oQA`g_jPGZ:XutIsRAgLghMfbEie;woTVldn]AV\\SO[>Fo\\OnCHueiZGY\\X_]owcM^_y>pZwalFbeXiTItWqbmQpHay^?kSv^jYdWVgTVhnn^t>kpnv>ie<IvwhtBWqnVwAGeaIy_inRAginbGYl[ayiy`AYg\\Ho=yvp`]@fr^PoLf^p^ZK`sLAbpV\\`AcV>qZ^sDqmyw[`IZgohNyodOZdWbcvnsaf>oijGsnavkAbrig`Vl`WnaW^eGkBI_xFiMQk\\pcPPj\\ouufjC^bDp`^`lLOCHo;DOfaQ`TuXxj[qXSPp\\IukEMrToV`VS]t;dM_lkCMQqtrtijx<ycARwevvHRoQNhHtdHjtdWUYMS@yf@TyHL\\plM<T_`maLj:hs[lulmxtMqdqlG]xjqxwhgs@gWQhTI`tfcqqgYfgyGbS@glFe>NvLhkeHgaadMpilAwHppwwoRApDpesYcAYg<`ZGwbTFZKWuKFZ@NeFxhv@wnO]dxdcYvYaq?ppIpcaqcPxhWxqHpanQsm@gXay?^o??]Uf]]HyEp\\KqxgWubOi`ojxyuyfiTxah`aiiZaGtAvyryccajMptpheIXkhnigfmtOyS^xcyymIhtHvtXgcyuxVxI^ysFfgQaTNd^hvhYuyO]GHydhdnIjyNyBfe:`j@Hksgp]WuPAmMNiZypTQ`BX\\?on[wvx@y_^xLydvPlxXyoYosyxYgyKy]JyfOgqbXZoouvHwKAtSVtoXsHWtFip_A`F_fGuOorjmSuGUHYTFqdLESu_sjmFomTYUtdAXqws?aGe?sqqSxyUkcWNGsdiWG=WjOsVaHCAw:[RAQUJqX>[gg=ejoyNkeG_g>sib?rrSYe=BC;TucVlIYZobDCWZegMWtowgbUSLIYu[g]OHFUe>GBRayuOF<AhqoXo]YTWRqqBfMv?sUH[gS[TFWTmgcJ_HZMX[=RUGrKmfFegmQwTyD;cWiyHT=DuEbuetMyXBYDVKiQwwumGECv:Gs^sBNIWiCTP[HW;UP?bIYC:mylqyd=eq[B`aTZkIPyG>kUG=FYktYKFjmvBer^KTFKDKctRyY=AeaEY`SEsKs\\ewCKrhqHG=IWEfGmhTkFD_DaytJOt>meLiy^ueEchWWRGSEmKhP=D_;S>my\\;Dd;yw]bxeFNCdYGW]AiIsFrmX@wx\\STfSWLwBc=EGCcWKTEMxfauD[f`oDhGwKUdYCu;GXNwtQqt`IHCQtbWi^cCx=Rtii^qBhoSLkbpYE=iYx=EH[fwMYfSU\\_CmAgFUe?EdemrBmt^QSbYwgqVbKDWkw[AUrgY[KC?[cCUtj?cVwbHaUw]wDEG__dYwEKKT@ucGGDuqbPCIEigS=Cc?wMMsKoSpwwuYRtcIbAD@kxPwBXcfgYIqarVwdeOCZuifIYeIuV=wpgSIWtHgUu=sqCsbocXMIYoSuCxRMYduvXMunGYESyT]bI[WIYfMkThcfMqStkdIgEYSE]WGxMXIcutAwpKY`uw>cCoqtr[bgiFaeg]wRq]cJqgkGCpCu\\sv;wikAuO_hterlKi^YDYmfUyHiuWeUxumGrCex;YkIunexgyCAgvhseQyRamEm_cXaYhIsn?VKQVpCrtgy[wFbUuHwv<ai\\kxoghj=Y:osTAXvSWT;y__ub=tRAubcYiqgA=w[ggu?ejccU_B?WG`ixMISekDLYsHeI@otXciLWvIUhsIe=obYCYbIRtGvAwtLqxamhcKHlgd@ob@Gw>iXeIw<wdW=SacgUuUbQYZaiuoYtUEwKyJYRd_iGmbn]E?UsQmg\\wDcOXH]UQge^sV\\]YFoEs=x;mFJ;F=UsOyuOWgHOwrsHJuExsXYqYUsyxcysyVKISeiTuwUtEVkGYOoVLAFI;xVie=iY`qeaeEkUd[wcaQvuKdQahf_r<?B@OI>ObPQG:aiDKeHgIGcwricw=H[GvVcDOCVLWhCkc^aBYEbP=D_aGKIC\\aX`AXUcxBWrIqB:gwtARXeeqahwsY=AblqiDotN]SuQIMCi`Qy;sRwWgTSXaGWMWc=yHCUyRyySAWr;R>MyN;bXwsHSvt=xteCBmrAkFT?sRkcl?dQ=g<MICeEdOUb?UA[yI=BVWYRyI;Ud@gUmCBAwt_Mr<Mu[OEgiUw;T]=FHsYL;QApx:Dlh`YcXrCTvr\\My`nqLKmXssMOFPwqpv\\tXrduumlZHqTmPc]MqhZIAkFgkn>nAHuSp[wXwApsYQlmanr_`ixbMg_HfteYsRFu>Am;yx^PwcwqFfglg^<ajuGjNq[nAx?GPSWLAIIYCamiJGFN?Fg;tbCy`aY>SBjiF?QrQQULiCGIluuYgLX@tSE@JO<UYtJqmq`=W]\\oipkY<Q]yNlyLcaRPDMKHl`LodIkHxpnupqinGiT\\eP<PN_@p\\lyZlmBPRETkNdXC@OLqTkxYtaTDEO_`yvTLJHmZXY>It;<Q_IugpvsDypHmZevf`uBQJyUpTXskTu[WbKFl:I[WAkAhg_pdMw_Wvk=os@^miPr>gcKWujxk=y^\\WiJ^j^O[iP`iPdCFbt>cGWdWVtL?^YvrlQg]gqHghoIfU?fYykG`jwv]uqeuIxi>_<NthhvrwwEoc_xkvhv<gwbogDivOheMog?vvMpx?GgoVmgGnifaH`lMgvt_W_YfKucYWyGDYar;yvrcyd_sdeh@yrQ]IiueQ]hlqcgqXY_uAQX^msdyuxcx=mVqgXyetKitsEE>iR`?BQOFqiSaKBLSBkkVkGb]GSc;VrauFCtHGe:gwoiGcKhZitQOu^OcWosUMinodCMYAWY<Ku?oTZUb>Ubr;W:UuMEtPCdmCbHoTOuxnmFiusb]IfuUeqryOBxCFZcH]]E?USUGDkwS=GsxiWMOr[_g?OCVYffquToxyArWUt]?db;rgAg\\;B=iHgAEWQHs;RZmxn?UWWhemraeCDQH?AYZyx:wujiU;Cb:yW>uX<Cb:;xACb:yUJwEGmSvktt=uOSXbmU^SDROSfmWo[C<uwCmgZyf^CW>IfmQYd[ggAugOu\\EbqoHqMtHgw:CyuoVnQbDUt^kt=CCS;gcYx@]DbyWtkC^iD=[sg=eX=d<Sg?EXokDbsXjoVCqdYKD@ERK=orpvZLRwlNFIP@IJm=rWXlPIpT\\R_=jmQlnXmxDUmDPUxM^TOmtpGpT@Pq<`R`HxnxxLhXduvv`N<]XyQof<slyxoELZuqWXWnDSl\\scQlG=R\\EyxPS<LTDE_c>^gqaZN^YqyuX\\jyc=N^WPb?phDOk@_\\q@tl@n`Vcw_mpy`mF^L@\\k>`XVwAHiZQZbYcmxasA^hHa:`aDfxRfwA?qUq]?>vKf`d^cxhfoWvp`wNp`of\\C>\\Sv_s>gS?dhNsfPmlWr>Od`a]XvmDgjUytX`]lhanX^DaZsGoCgbfPitWv]WgDismi[TXs<aiaHaPIgYwnQHgFIcTPksAagypx?kfOjgIshywCpcPvjW`\\QHeWP\\SfkBHmxnh;N]f?[SQkC?gqNo:oxBPyfqmOyiaf[Z`ZjoZr`oTW`KnsNooWXha?cAG[dXi@aaEytkHm:O\\joiGAa;Xj^^teNati\\aW_qFcyQmbXrMIyy^gp^xSVloXiiP_ewtnxg:ilPqmFOhNX_;WsuY_nnodIep>d]A_T?`AP]P_b;fxqyx<yg=Wyn>ZjWjjAj`yoT>olF[;WiPx[:`]r_xnabEHcLQ`OouKidghnrOi\\HsZQi_wiOHkEAkTqjpQhR^uDpsuNr]Of<wuHnt\\`]MVtV@uJ?p`^^sgidFkVG_pGp`xu^>[W@gcamWndmijbQdZ^\\E`[;OxVVl`n`mVd=WpLgxcIaonbM?t\\Am^Ykrv[gae^_m=Ibn>nkPl<W\\y^vlFb@nhnIh;@tsfbJnjRQyA@vthcuQmRAjf@pc>eZHk_>cSgjwWiBH[[gdBW`PNmBHdD?waQmQv`sOhC?cZfpMniZ_ctPr>ijcFsnGdDXwNpmswgrFs@fjRyZJf_txafwiewbtHaQxu]ngRveKhqZQlpaoTXwmfpNPdDGy?V^ZV[tga]AqaVbA^aKPplW_cvaFvwVGZVw`Ais_FsKooIXkByhjXs^VZCxpKodU^a[NpDocwGu:@fvGxwyo]W\\h@rINfe^t=Vj=_cT`glVonpp_FcNGvO_g=okDpb>WwNfjfXueG_u`q`im`Ykb>uPavvpnw_mMHqwAwnP^bVaqIcLG`A?x\\nkhIqqId\\V]uXwaOv?`f=WuYYvSHpUGZBIl`p`]OmnIlNXdUhxF?maOcO`jCOg`fpMhpNQuIfmMFbQ^sKIovO[wI]dn^Tilg?eZYw>xixHxOA\\Ofm[^q`^`[H]Q?fqwfMWgF_gxV[Gnnn_jdF^[hqJi]<qy]yjeaiX^pQv>Ywt[EheTu;X=aIBuv@CxS;thSweobsUH:MI@_TssRIcTSyV?Cip;BhyTGkTo=SXethgID[v=[Si[T_axZssAeRMwCVWCgQSYeT>GtToFTCB=SXriUj]FhsvX_hx=Dh]X_KHsWRZSTg?sV_cFIij]XYww[suJoXJuh]]I=QEPOCuIdZgsB_yOeHHEyM]wNgEjCS:CT<UerKHRGxsEtT]FwkG=afoCDZKGGARAwCAwuDet^mGACs;yX>ws?ohAQdW;e]et>oIQkvgeXEAd^owYURduroQcaKuiIUmsw@_c=SiiAe<EYh=V=kCk]wo]x;OWSKXTcuICXYGDKorJYxlqu^IDR?tV@wjasN`vxdpstnG@QjLy<`skHLWxucExqqrxxqYYSsIyPxVXHY``M>PTbevDilcaJ^YwIxkLIt=hQn]mtEK=aR:qjS`WrQtkhygdvZ=KFAoZaww\\PvtoW`sRdKBEOy@MLiS>IovLPNtSlytwmuJtSL=waANFxu?tVXtW;Ut[YxdUy>UL`QRLhsTpn<dKliOjyj@AVp<ts`OvAr`]oPINleXRMTCInjESDAtsymmeNJpSD<UoDuvHuVXKxaJLuoTySn\\xdqXEmJ[HWIaSEuREPjSTTm<RrauDTlPHR?LS;MLjaYe=MMEn_LKBXS]mQ>tna]ly`qhIOZeoQEvAhTS<JeiOMHsUhmmHuYDjrDqXhx_DR@MXZEWJhKptPUHxsuM<uv\\LoOUt>HkWpP^Yr`yKkHmthQM@LIXJRISeMY^hmViUy=KehsjiSRqUgAniXLClTFLMAuuf=sSiRdpYJ\\NYXr=TMamYOyTJ@KnXK^HJSLrstoCPMBIu@pthDPJyVG]kBTnxEVFPYeLqyaw:xKaUX]AmwdVvUUn=v:Dr`QmGqnPAVO]MZTQg@kAajNivkHkNXMOIsr<WQ]nxqWwuKVeWAlRGttl\\NhlrvyRATPJHNk@REYoXmq@tsh<vrxSMUyXYlLItX`ngtLC`w?hkveOCXm:APHMpdlU^htlxvTAKieRr<kQ@wEIrLpWL<MQPTLxkLMScUNZtMuhxsLUy@oQpsWEP:UwPlxjQSVayXQKgdTituxPoHTKcYS]yP[TQiPQYlo^enbYrlATnlrwIKA=YwpqVqq:tX^<SqDyglkNpxX\\lptLFTUstNG@lFqskIRc@vFaRhINWDRB\\n<XrKQOJuKmPMRhTgaT>XVuaK\\HPS@TnPR=psSTlZlkGAQFLY>DScMMAtVuPwGhYGULHqlUIW<mvpQXbMUwhkwEoRqxYuvmAvVdK^xkmHuhHjAUW<YnxPMkDQRMtQeV:dK<EtIImrhQmmK\\PSc=vAtsDHUHYk[<w>HvtTm>dPF=yWINI@mJERJmKBerXHUgITo@qAYVlIj>ajBluktUgyUs<UKIQA]S^MOnXWkuU?HKIaoCXjDTljls@mKLEN\\qV>UKZmu^YSA\\WD@PTQLAUmD\\XLlrDHKQXoGqpZmN_wZp?ypgslppNOaTa[\\OZ\\X^KGkJ^n=ixfofthbEatmhqQYtXOaOw_D_pAv]KPoC?qbXhP@cPA`kXjtH^QgdM`\\JvwCpnC_sQG^G?]ZH\\;xc[NuEVho>\\:Ab@Gnvgh`IiIab_Qlk@pMawfieKFnP>j=Y_a^uMVm`>c;xv?Yh^?eM>r`xom?n^HgV^eLGZLVfCwmg>_ZVv]Q^?wruG`EIsvvxsPlcaZXfZl>kqil<Yi]hwVF\\K@_eYsMqiZ_\\ypuE?mLqrTyqIv[pPrTftLOclIdDG_c_Z>nvMveu_gNpqoAyRvqrv`hnw]X`PxxkF^SWnXAww`y<A\\`NhA_x<AsTGvrNt:>w[gZ<WhT>uOW]IVhpP^H@nsHtchslA[RXolFme^b`wuq`mRy_Z@hKIZs@aZYskak<nlIQr;QuqFl_`s=`ZZyfdHnMNq[`[fYmpnvsNtjvf[_mD?afWbJFniG]xit^PZbQiDX`YWeJn\\j?qTWwFpkMGfayk?H\\:Fd:>h>_eT?oJq_:w_<Qvhfd>^fqaoIYugWmvVZXIviOZy_[Jxj`H`;OZ[@]hIolxq@qmSq\\g@wiHtlIZIprOwmXHmdGhYnlqqtb?nhXbEQbe@pgOp?wrHftCgm@av\\>\\t_]:NtQvxQ?aYAcm>k<G\\oid\\@kAOt[Vjrqkx_`GFhjWxy>pspdGwwYpxoIrpaqcweUpaGY`TolKH]WFhEq]=fgEqt`WlHPdIygJv\\JvZCGbrPpxamdy\\@aZHiwjIe[abDX`TWn=P\\ZOn_I[YHsV^`s>tNGppfrr^d:abEnvc?yE>^IVlj@r;nrParFQZ]Gg<_bUayX^]ZxcbarJPr[v\\rp]bY\\HYji`[aF_Niu\\Ox<H`SHg?_o>vw_paMXx>fyS`vmVZA^suHamNnkYglOf@walfioFlHAbHPton[\\wm:ipbApmHwRxau`^=YkKplrHthvvdG@OXVuePUEU;XDYDlkdvAtwmCN_R[_dL@uyLPwdQGUPmTPn@V;QjwqUpquwXYs`YQalcASOPsY=OkxQxixxILTenX]dT?t=wri>omYkjwr^WlxHxrAaWWxNAawF`PAf:>jOWn?p^dWkfqZKvfgPpP>yV>gsHx;ynbYqqoa<wsyFfOfuqatm`hWiqIXtcXgPxpWvxnqsKf]pWpPgnengrdMaLpipWHslTtdimE`Y\\QwU<wbiNmAWxARidY\\YwKyxJyJxDx;=qZYTIHUXqpwqnApm\\Qx@un`=wxynYhT_asYyOQLwxePHymyItW]QXyVdHXA@XU\\SyYkFYkgTq@=qVlWMMSsYSayK`qMmxqCDr[PmyhupXOsXTrtYSyN;AQjtWO=VnInkumhOt\\hsMFZggmH>wsfb:obUPeUFnG_`=n`qOjSv[Poya_kSH\\<isl>g>FZkFl@PZHAcX>pYWlnnfhfhIWmtFw`>sjVZpAk\\FZj?v@xs>^cL@n?Ajs^\\PvbZHlrnhrpr`Hdrqq<gy?Xjn`d:V[`_d:>lRgbAQ[yadMWlZpa??`PO_Jh[ZW[A_xKgpKvvYVZoGkLhgMpaunfip]fHtLpeghx?p^ZWmtoZhvd:^i;nmsg\\wnbj_m@WuHpd^YZe@y;fp=^rdxn]_asHrwNiGoaM`pjnoJne^IbxnkZ>[;P^N^\\bYZTYpVG`K>ltvukvb<guRvajW\\ny\\>?ZHGyGAb=Xdv_gng_rvp=`cbgcA``;n^npt@Fa@?nGNeHaf=Yfy^mSVv^GZ<ijeWyfahEXuhWruQwbvd\\^^;ne<yvFQgQ^ujxqTWb[X^XGrF^sINnjfrpwi:IcRfhbqeIXxe`dnCXydH=wbeUYgxmUWScSRKySyV<Yy<aTEKen[cuugKAi>krnys_oF\\[CnGfWwtUkr^aWPAeZSiYoVlyXZGCaUrbud\\wchUDtqVqghLsrn_wAMwy_Ip?HiSxnodfOw?yIO_rAqsksuVwGW?g\\mwgkgM[VD?hiQtbMY^GeykT=OhisCfOd:adLMdIcGUmhfEfGYeqStKyRYciYYsx_ylYsc=Wb=G^;Fy[y[yCcAi]qcuKV@qVBafy=WMAbfkvQ[gJIc:QUxOYCstrirqay_eYvoenAwBUbX[umSVVKE?cet_fQosJUyHeUNyRAysegbSyVgYbOyuIWgdsBTUelUd\\;FyUf:SyUqGrccx_g:=H:ExUqGRAsZWEYycX]IIGBfyFxoyMKIsAw_]xUugrEbtkwXmupsgywT;ov_eWAQbR]IwWWNwx]ueWqWIWUgadsmutWfcigdoi^Ue@gelwwqmscKS:=TqIYeytjyxmitY]eEOiAaTsufbOXkwEgau\\OuCoyRqIugX[gErsDygwuIsPGbpie\\ahIKbtQcByexEwTKYiYsY=RyQyYyI_QxKmSBMsNCWRQhm]dPUGLaVyqEw?YxsWAUekgkAyuUhSuATyLu;PykyxwyypiOtQriqUTToMqpM\\VfepdtK^avcim]hUoXyBmtT@qgIpCDtfXJlAMA@sG<Q>mwmXPt\\RgakCpS?Ijc\\KZdVJ`Nf=uTUK@hVB\\W^=ngUo<iRvUn;DtK`onyJSprwArbeKRapm<VguRW=w>mYJAVFlTe\\WP`tNIXqEW[PNX<NZ<Nq<xk<tHeuTUnldMbQyJf_POw[Yvjam\\v[ro[gH]hP`BfuuVvm_jd^mExvO?r`AdONuxft\\wu@>mTPpIgj;vhZV^:nxe_\\CAtH@r@W`^VnBgdcGuaIbRnjGppZ^so_fH>dVPkC>rbHtT>^iGk?fkZngbv\\Kxpj@smXd;hi:nfIAZg?gX>tY>aqWnIVuNWqsF[[HkoWa]pqiwxU_axWctQ_fqqINxpFoO?dfUF?h==iHIRl]t:TJM=WslrUPuKeMZQMoQJ>YuOhXpmQqeSqaRuxkKTmbQTNxT@QWuLWVlxRYPx\\N;=SJ]QMxW?dx[\\nkAVwPSu]Tw@JeqmNQUMTW?dPUQtTMKHYm\\PyheYV<PYAnwEW>HVyUNuLOHDveYsp@t>AwI<kBAnRyPYaJKirGmuGEufYU_=sC`SsMQ^dPZ\\wiTrsHW>MNRQYvQyrqv<lNM<_Hiyiy^FI]<wuRPlS_llYhHoaZhd:@b]Gl_Hf:Fn:qynfo@nxoO^;>]MpqxpqpXxkogiwgiWew?g=NuL`uHXfIAa]akhprtVohwpYYhSVlwQo;Fqawtff_dYoTfps@fG>[filkPuqxjggmo?aCis]g_tohlhrkQvY^umVcq^gW`nUvmSPnA^tq_j]_obx\\HQfXGmNqk<px_X^I>`TQuQfgD>bpnx[grvYiqcjqHJKbIuYuqV@sv:CsriyisIrIg<cUxcidaco_X?OBfAB[AyEgYYWihqGtWwkiWvOgIyrdWXhmYbIWtaxqmW`HM:tyLXXHmvltRapVcyQOIXriyiPoFIY=dqFLnyaxExtlDK:pN>dv\\puqIOlXjm=nw=p_UqTYl]quuIOtqyWxKMyoy`xF@UY@TYaWMuvXDusLQ;uOwdwrmNNtlwMxDLwchTcqkAqpkemiXyYulmyWnYL_uyoilyLnAupiqnixutHkUyjkHrsUVdhsqLMjxyXxYxQYRyXnxxmQoiAQaYlD`S[hqhAQypw]ylMYyyTygmMm\\kihliYokmRYpQjQmmEwFYLQEx?IyBPwyLu:pYy<npiyxyvxxSa\\oR]SYATgErsAMe<WDpytYOyLnqpqjUNqH]Zv[itlYxviYcai;MwK=b`ygi_yYkIAcwp_F_yHOUikkFJACwWxQwsZQxxwYQYFvkgiiTgqIV[hMsB<UW<YgZOIkcH=wTVYvdqDP]V=Mt]SvxcuiowcyB@UBt=XFyfGYd;cwNuxuqGoIuc]wrII^MWMuvo?WS?tr?x_ABrYvOWUuId;svNGRxccPsVnobM?i<[hF;iwATUMBLOT[UTVCrHCv:KrZkCembd_EGwCIOc]aDjyU^?bn[HXSxdQImoxJKRBqx?mSWAv`;tb=rVOC_Eh@kbmWUeATm?FC;xwABBqbICCxuCNdXvPs:]LT@LrYlZpWfYrDhqn<rqHvUUTZtOFPQ`epS<NZ=NoDse=OGAQ=ayEdygEsrHyF=VLHJ<UjF<PvltFLnBmXLPRgAKTIJGXkaMpMXuB@VgTjKDJbIlNxKIYWHAkXQl[=s[Um_iQJPU]Pj^ujptSClkmYRYmQWxt=XpxXQXPLVhUXlQolNtQTZ]Y\\]p@URMPl^xoYaQMxJ>qVJxL[pN=UJ^]UUPoCtsEqyeLR>HM\\iWjLjxQmHYR\\esmpVGQLw=VTaVAyuqTKV=MI\\kMuqTtJNxWy<yWaPKqqneMtDr_xW<@KBUvEXtl\\VRhY\\MJeawWdYfpp:ynrqp:mnYTMuAmqiUTEqxHuiqMiTV_UwpQpIUlKQOSMPbIkByS>QyiyNEIKy\\R`aQUxW?]jTMOuILfMlbTT=qtumSBxvr=Upaxa]TCYTDEuQLx;hlvUKruqjiji<xDEqwqYLISaDXXPpelorPjplWVAsZhyUyuxqXriyHYQiaV<<xSysxmP>tv:ppilYkYksYquhQClyKms>ar>dunUtG]KlHnw@qgqpUQV^UvdXohPvyxxXYYi]KBYngukvLxBTmUeQjAr=\\ppewTALvxkIxkAPMJ\\pItr[YJSMqnEWrmQtijgAQAqMIHPvqsqmqMqThlkYqqwUQiuRyEThLu>pYZ]OLaJwYMSDM[hSUpP?Qw@IqrAvV]laEs?EtkDuYLMJ@U:ak]yvOIw^HYoLUutqHurGYw[hL=dTTEQRUtKuVvMvATy\\qqTdOMUuQ]KOAuH\\yXhUm\\XeqkcLqtIpKMqlIlKLyxYl]axGis]`xYtxiqnelMTdnYtWU`nAyRaEMj`KlPsWuVPiosMj>IVpar<<kwQxGtxlDUjPJ:TK:lwXTxPxLXpLxqyryoV]LxuJZtJk@Xo\\LrlLTxky\\q^QJXeYA@V_qM>HrxqRSHsOyXbmS:\\viqyuyu`yuJQjZhMbuSKEj@QJe\\yrtsPxWoPOieTgQXuijpIU;pX=tr:USJxNhuuKyLehNcLOYlTomq_QjMaLcQq`\\tX@qlQSOyTFhL@IJTxkHMjkpp_ARUMl`ht:UQKuouek[hjcatQYNG]O[ARX]kxPk@dOMLkj=rS]M^UvymmgMtIpmeEtoysoDwaTqT]X]qsPdynuTMpMTTWLYPMPU]<P]ML;isb\\vxDPehs[MURek@DpRhT>PVphRMQkV]SHqPc]YtHS]PwmXWlHSIqSndL;DWKqscpj\\TYGMwoALOQKepwLpLc<Py`pQYvOLyOYROLUqtq`pQtIq=@Xr@PyMjIeJphKPiXpxMR`T;yJG\\N=qRJQRyAR<=vqV[yXrVqn:>ZT^xC_b;_dWNuAYelFp<pd;nc_YcuWoVhlV^^=nv@gy@W`j@naPsefwpNgMAl\\^^:VyFnq__nsHpxn^GA^xp\\Gvq?>ZY?\\[ntbAaeV_<Qyb>_^IqRncjAsfo[l>\\Rid_g]gW[^poipnGOoZhjC^[babW?^h>tB?c=?^Zht;HcRwqC?tAVti>m@hs@N`^^`BVmu`t^^a>WgA_s<H\\hxmovfdgj^ArrFkePijgoSasCIiPVi@yd_PgvifVGw]W\\kfgDwvHi`JVcFhaFIvfFl\\F]?Hq?Fj:HeKaytptJGem`oZ>txO_Rv[E^vs^tigr]Ots^t]xuS>^J?wA^p@?[;`k?G`eOZbfo@pbTawcQu;g]]Qabwaofm]`ZgyoT@xxpmkfq<>pAihYp`mIfTiyrQyiaksacq`nkyakv]]OooVvAwusYtLyigA`SWpQAxM@yaQbtWwaGgwil\\@fG^\\aNrNvcxy^LVoTnljqpFA]ki]\\fnMxkDPfCxhgFeCFkCHaYqmMntgA\\`NlAxjSHgcvbxpv]grDh\\[Iy:FqpYa:I`:wax>yhWwk@bRvuko_>>nV>ZTv]Jn[uiaIWa;>vwQpQhqFxabvuxwhuQjmysyvyvo_mFuAwxVWoo>cUvlQaq`i`nGx?y\\mWiLxvYOicinVyae>^@Fg_qq]i]iAvxPfu^ZgIri_gIW\\JxZUwZdqZsGheAbw@yZYiqXflxa^nw>paWQn?haTqbrPdKw_`gx<GrDPusVsuIewy[Y>\\R@bZgbJX\\Egw@QsQFpwih=AoRy]UFglpd^IkKqZip`WHqfxmHhd:Qv^fZbnkYxu=Y_=Py_?nYO[XgrTh`^ybQQuYAvffc:>n[oj?>fGNj:FZrnrDAaPOsW?jxoi@HqHY_IAacnhfOmZwa:Q`n^\\hp^=`mlF:]t=Oyy]ykyxJAw^aCqWwowEy_eGyif_gK]VauxQsILGUQIGemdmEu=iyEQRlYH`]YskSokFI=FGmGSCB;OrxwYcAtI_f:[uIGELevHWxqoynyTMucAuuxIxqsU=aV[]tssGmQbSwHWYt@yf]Cy`YyXiUISteosvCG;]vTIcEgHOQGtsGbCht;YjCS>Etp;UMECuOf:gDX=DHGEpgSI;WIURLqsSCsTgcgQCRoWS?thErf=g]mT<KeVKROUbGoRE=Hr[bpSbQUtG;uoYRymCmOGIShTsSi?T=agDCciSyvcWtUfr]B=[W:sikcTa;Rl[SM?d^sg[]WxIxvCBjqRlYIZ]PQ@uxpRKDLR@R[XTZ\\LfMMOULVyLflj:hU[TrrlpiQPxMNR=QYePJUv>Ljfmm]PMoxlopOt`yxTJZYJMPSVtu;MV:lxTlYv]Vg]l`\\KGapC@p?mKbYJVTJ;YJrlvjip@d]sPaZor>NtnvsMqiA>`YWfmp^MorHHoPP^]gtJyb?qofVZ^QvSXaCAZu>fJf[LGdkF\\L`_:_ZjnbHHlWHjHFku@eK^\\fymG^hpA\\UX\\>^fAXr\\v`<ntR@pM@ibhlK^];QoPPbnNis^]k`vVX_Op`yf\\mveF_lm^pUfv=aeHw^oYt`WeGveU>n[NpQajtpgrv[Qyut>rQg[[NbWAZeAcbA_G_n`HZ]h[kp^f?[F?^>xrmAtGYi>Pi@Ym@`l@PmpGsmokuA^Mywavt\\WsovbnwkfN\\[QogWe\\NrOhsCPd^vgBOd<VncHkWVmbykBfp[N^oN\\OhiappeW_\\XnWa]]NrkpdjHvXXl]InGXr>wtiytLOclIla>ZsAtn>vih`uIBWSX[G;ArxSSL=BdggpUr_CH:CtpYi_;GcMBMofnwwh?fv=bn=W]Kd^mrLCFNIVUidN;WYKtBICBuBngCasevMXFUR]QeXevOWuC=Hpkxv[t_EcEufxuDSSdwqS:mhIUFUgWWotGstNYSmgRqiSpCy[Mr`QBdIGqatrCt:OY[Kra[vsGg`SeZ;v_Gr[_DO;I:WtbkTNAxLWweIgjywuoXHUtIohF=xEAWkOB]sff[w_WtQ_xLIgEWybad?eivOxB;v:sR=QeCgxiQwpyCP;wusY=QEPaTvYxuuU=av\\mYyuCqSBTGBRGEwOwFihvAHxehtYyWYIXkvpKVoquh_i==fO=bCcdocv;QONHWqYuy@uITx]Tqttky`S:]m]mupEjhTsd]QZAmGtQHXsy<YcEvAlQTYVwmS:=WZhm:yuq`qjUNUHm[evYUWllONqV^mpwMWuLwtumcyjeHuj`reioHumWMx@LPM]TjlpjDq<DOlUsOlSWHskXrr=ngmXFHXFIYdQu[anJIYYas[<lU<m^Ery]vvLt_yYviwQDpsitAxujERrlxRywdeplPvBuMHlYVDUKmvVUlK\\ormwO=voIwcESUyn<LY`MM>\\NJILM`KbYvVUM@IyoHJ:EV<eYTyqVmmiXN>EJh]PgHQEHPyEv>@mVLOOTOOAoQYvj=p:LyEetwdy^AYMpTIdxl<Y@QwpaY?<Kg]L_<m@EraYJ[lWwUJb=R`LmLUy@@J>xkp\\JWtPVuvw=XPtuHxVKPoM<nXXp]UMIIkg@tPAowyrdhwoUjZTM`TypLy@tqBTM;LoK<sRQWkAjeypZTvvtL:qXBAQWxsF]p\\=jEqVpqWc<pId_WXtGgZ<HsRhZS?rf>wCHp`v_`a_iYokXbxqtCg]<w\\]N[yvjkfrDorAgi?npe^p<nnNOoh>asW^nxgOAaEwclH[U>cX`f<QpDG\\m>joiwMPaIib_Pn]`g;IdXX^HHyT^iQYrjapTar`?lmqh>oslulaTw]WsqnK@m`XRR@xiHxkErdxQnTQwdl:pXeHK_ey;=JnHL[UKHpyJAP[UyhIW=lYG<QPQU=pNiUjCpOFUrjhMQaq?Lpc\\Rb=KpTVntKpqy\\aMh<w=eoLTxG@VlltLaVGYXlhleek>xmS@XnDYyqhTqoHOesGdJneUQij@_QppbpvLXmfP\\kvdtO_WXweG]YP_K@fyn`fFhGYgI`u_X^VIsp`i_nm=o`>OrUhalG\\Cx]]V\\^@cDD[cFsAwX]g@;BZGEZYEZWEYiUlAd^;EpeRYqeEKX:St_;b`=Wf;jUMJkxO\\EkKLsVXSYUpn`LJqQRULl\\lEPxyEl^lR:mOUUo:QotELZiVIdWBQk;PKghUJyRu`tq]W=QOUQo;PK=XlWUPT\\TfdvFArtIwnHYF@uXUmgMlOYy^uvFUkpuScLTMeoJuoA]qLeXQqocmPUQosUNvPUC`nA@U_dQ;ey?pp^eu<pM@LLLaoVaJ@eqX\\MbMJ\\=JjYuFHyNYuX]Py\\N`<yREj`=rdmKXqWvEPXqy\\hk[pP\\Yk@@NBapldskyoP=NtitHHOOtMaukotr:@OvYl<<theqc]v]tSXqX;MqG=vieNveMfUY^mRWmoSTlotOmpYblxiApkDWtetSt^VqqnVtmVeXIiSVfQ`gUNu]WunykHAishfshwxfvRhfniZqxg`Qu`Papy\\FH\\v?pov^hoiHPoSgeAXvrqu@Ft]YlxfgSpjsikH@v]VZgAvgfkMN`aO]qVuoorkAJMXpcdkCu=IdJyC:;hcMf`CrsSEZEEToSRIwq?vfcUKqvF=BRAxESbS_tLeXysB`CfZIh=itJauBCTOodc;DxGY\\Grger\\crdIrdcet?g@ABGkFLuCI_HbwihWwT;CmwrCMYBeWA;D==SVIrt?CQeXk?FlaCR[cTaBgQgwmUrGY`;RNmTG[tomwM_RNIG[]sU?s^=RimF\\kVZ_eKetp=LjTRWqPKQKCyj^TmQdRAlvRmQZhYL=JByXIqp<ULY\\QADT@\\S`@ncDRnEr:ajxhrr@PcIxn=W[yNAYMFmrPXokdUq@nHqNv<tXakcLPL<MNuJ\\MJGQKFyoPTmfTvhmSQ\\OXaxQ?o\\AaRWvuwewP\\c?iLVo[qdUX\\`NZnVu;>v[OZOgd>yZTY_Uxg=Vfyaotw\\:yv=^fBNmaHoP?\\dgdjnkby]diZKGroOxGoyL^Z@>xRapBWgunrBwjyhrrF^S^nEO_:?u@Q]KOfC_luN\\:@d>FvoIpgywqFlwPj<nc@@_UvtuOsrQrRIp=Fggo`<phLx_ly]CN^AWb<I\\o@c@p^AQp:xtu_iKG^XNgrf_dO]hi[pObIgcq?cgo^<phHVfVNgX_\\LNutYwrqgxH\\cgskPn]Ou`qkFG]eF]sQcOP]KPlv_h]ndeGfGgmjIhQgw;OZZY_<hdw_iAFrjg`=nlB@qepyjVblgsUpv\\>_=Qmng^?Qga>b@PkJ>[rIhRO`<pqZxibY[pXumi_;VpT@nsP\\b^mIfoGhw=>sS>cIXaPGsiyjF@j:WnKgwMqbdhpDgjGw]pQoQNo:_svgx\\_gbxbCwcwPrCFoX_plxkpfwShnWO[ba_hXZZ?ifPvA>];Y[OF^lvkmYgnWymWtfWjuPijPbqiwThduipg>`XOZRgnwXvsH]OoyFvoxixNoxJAptQhfaqTfoY?uEwnfnwO_Zbxbw@wd`wrVseha`gjqHmLffeAlaikJfr;Gw;qtjahuPqX_dVOtLhfdghbVufv[?gruIemOnMXycW`^^iAxa=Nlyiawf\\JYddYjVa]fop]ppmobeW\\xYlCYa=XwZ^ZSYpG?yp?y[Fy:F_;Qss^muxdIfdcWxBWlo^\\Aa[QAuHv]eVo:fkanseyfm@]J`\\y>txY[wo^i>tmylnIpIHjpVjL^weGp`?pHyr:W[:`eS>gmN\\\\ixF>gM`\\Nh[jfq]OsaijFhtbx[KhoRW\\D_q:Hx:quSoeZApSwpWiveGg:hma_sHQZCGkwQae`hgyYYImourkceKCQeXIQr?mf^eWHcEAYSJSrC?Dycv[sCDyCJYRxaX<ciair@[WAIH^CUPgOnHlVLlm`XQMwuxxPuSqaONDOCQJGtT;LJ?msFuXIuOOuvVivVpmplUAhLQDJZaS@qj`uVT`tstVG<Om>w:ffB?saHl^Ab`>_EV\\awgVVoWpxH>xSIfKW[CAyWqx@`mIYiuY\\eopPYr\\weYy]Fgp[WmLHoWHjJ>]NHqjI]CnvuHbiqjvigTW[rgudVcmomQWt;StGThSsWqDXuvOir:GYj?Cs[UeWfDiV=Odskcu]DIGVyMIMcrd_R^[ffUcxYcB]HH;TMQeOiCjobJ=hW]dBquS[x_uiN_bKyi\\cVbmUQqCaef]]ggSikUICEYCKBp]HgWeXMB<kUciiHQHd[dtqhEYbTqec[e]YD]CD\\mESehtSFvQWMwinmitmvUSRCutU?eIcyT_xAodjCy@mhQye=agj_hD?BgCTpYWLAI[Gs^]sP]iVYHIUdjOvo_tm]tVyIpmbDiDc;ft;iHCRg=cBQcM[DP=yDcVa[xFmIHQILCrB=vSOt_gRZ_CZsS_=T:oyUyhiuG_UELugBQGjeu`;BaIsHauwWYqGWDsWMcCxqyl;BYOsEqDmGHvuDxww\\Csbud]GxTIWUyvooxqMvr=FjCgNgGKcEpWXeqtgossMSAaXTEcTyGDwu<=eAAHxipkUtV<s<TRcUJKdS\\Xm^PjKhpvQxCIkUYQTPqy]qyhNhDwy\\MNmwk]yWTthiWKyuidnsHpnQOUIKrANLMs\\Hyb]PouKITOS]p:TNqyK`DXKPTsiSP<nYLv<dQbiL\\DrSPn\\]PZMtfIykqsJMn``R]tQs`QJpqLpmYxSJ@LM`NyYMVirexvyeuKlYgxJxEjIDQV=pWpnBQq:XUihvBPvsDjYtS^DMIhOEIx<mmGmYLdWh`nNIlIUOs<r_Qm`IXg=RPQtFdokxn^uj@hWcypHLwoDpgLTqhj:\\RlHLvaql\\xTyOJyTqiW:=yO]QpLjdPvWAplEoiqUb<nPpViqq<xUtIR:LrbHv[PQohVXmJl@nFdln`M?YV[ixk`P@XwmqSSLlqQmgajfdwIhLZdunpQIPsNYkDhLKIw_`w@XPOenXEN`=j>]v;DoXyX;lLYXuppv^muEYYXLU`XRDQRguN=QR_QYumRH@yVdQkMLVHxm=v@UJpqnoDVAYT\\trGDx\\LlI<uP<VFPLQARwEO@mndN\\Jq_mOZrYbR?ZZIsAWrU`wkgdIinQWuOPj_HjGY\\Mxsg^iQ^p]Il\\fyL^x>AmKym^GgToaS>jSIt>QcYPl^gosyf^p]CPsPqj]_]SicWQk]_cSAqnoi[vc^_jd@nYXfwAfXygvVbfqeCwu\\^^\\O`hhvx^t]QxWNZ\\awsA_TFg\\IiC>drG[[>cSG`kNp>@ZQfugWyo>aya_^WriHsn`[faiFgsYYvvFZd@tx@ieoxYpmeppDhleQxjinG_pWWtQPcKQdpYrHobkojsOpga_yolsa`M>lFoaxgk=`w;^faGpyY^;vyQil[ie_p_opc@xxOwoOIi_?iyGoKqyxfqOGtHn\\A>Z?OlB_bC`bTnrcF_rFtnPalamNXcVwkZivkA_bWna_^B>jZ`nEqc^xwMGoKpn>Xg`qh]YwNPd:_gtQfF``JxyMW[F>t[NbBywKVhB_`oqiviyexn]WeVn[?gmE>pjIruVZkv[]wyRFkkYdN?fp`t:Wsq@cCOhGoofG\\BbqKxr?B]gC@WSe]F_IeJcd]GcLWC\\?vrCYiiSbivb_uqASYucoGRsMGWAvdcXE_Gn_V=CTpMBRkRNWGDyTkUMOpS\\ttQ]s:ykail`]W<lsfqM<MNody?ptLYRpIJ:al^YRRmoC`rgEOJIVfMwMuROPJAyxpdpFQkAPKj`S`XxS]NP<Ym\\n:@rPlKUIxwULEAs:\\ocDN\\`reQwjxt:TVctjcxvZyVmxM>yJ>mmWATuhrdYYxpyGiWWxPZDV><RDppUipMiWLdYxPq;YO_XYtMTEPqNus^iVEDJvPunhuqQWxqxxqXc<JgDl:lNGXV^EWeHmJ\\[gxq\\Q\\wogwfwgF\\?A`BprNWsg@ZUyqYqwC@Z:>jy_udOfQpnpAiGp]GP_eyt:a_ih\\snZfX^SWeb`ijOwY>bJ>jyhgnicDiphhoaOn?>cwpeEoka_gLNrci[FIsNppXGkaaiVG_[NcHPvMPo\\f^_^^fWoipafV\\mfxu>m`fnjfgZwvu?bTqptOoDgruomIqflgahVkNHpiOf_afHPumi_YyhnVtmi_lWqHWskPbeQuDqpuqqOFiYXZVwgSamM@yF>_kIxWvdiyl;NikNj^xwa^qV@bfhyUQq^_r<yurv`PGtoo_ifk<qv?`lsPeA_oLGiOQq]yjV@cCgt<wZt?w^H_PVmgiqUxr]FeqfyDqrwqxsY[Ev^rapFyrL`mio]S`ivQc@>vwa`<HhPV^:ih>OfWyfMPxQYm@fygIxpFkAQoKYeoFwPq\\c_bKV[MpoSg\\;yjQGm?yqiqgCQvwyqQV\\qYn?W[yFqfhiU>]DgikxaKP`<n\\<_`dImJwqGxi=Gl@OngHhKOuyoaHXuWPcI>[E`tRO^lO]WfnYav`nZSGxmwk\\qxI_sFOw;_u@ViuUxCDIID:QD:?vIMFS[IJ_gBigeWEhYfWGbNocGSc<MFG_G<YrXOgw_WnaY]aEfQuLobgeEnAhfMho<JPYP>@l<iJGuQVXnTEw<aMQYoXtnY=JFgoDigQxv<Qsuokf`n?xmafp<HblNjNpdWYaf`uIxrDOarga>?lBww?F]C_d?pnmPctg_bv^;@q:O_@OfJy\\^`gCNfH>m]I]xO];G`:Tq=f;]b>mT:cdVsD_gR:;StIhbgiY?U^IiaiSHqHL;d]CGsGGVqE<UDAWTsmWySiLyWFwv:[iycc`OB:Iu@ye]YhB]BUMS=qVoUxwyfP[eZAECQh^sBnqHk?DIscxusWSXVmtUIBJeUoeI>yv\\pxn`MQYxBMqqtyFLYQAwO=NBIJ`uPeqKmAkjMt>iK[MNeUsVDjN<XLUL]Tx[\\RDXxW\\mNxpgyS`MXX=w;AqkHuQLjKPyB<QUhQEAlJMYpaWfPTt@lmlqeMwK=SwaLVTQSdNE=QnTXi@JewwdhnLoagF\\UArRyg`xrNpsyOoYy^=f_wN`XWiwonPA]=olfWdhIjLi[^QquqjrIxwanfYofhjZGcmxpBh\\jwqSof^nm]@a?v`LxqUYZGqkOHxxWwQou_VwCynK@jHOgOod]>^NPyK?qYpf_?wR`\\LhyCGyLPsBV_UqulfZhpxmNoSIb_>wcX^Jgk@VbM_eo@aAOyO>vXW`oOqWxlq^mYh_J@nloqWIaT_aKOljWrcvrn@qiFdmPx;QZNVopytpYgCVwU^uGg\\f`_vQkoiaOx_qWmsY]yN]QqsffhcVjIfusi_nHyF?hWPdAwyTXhho]S`iV_xKqwIGs]i\\j>eu`ZeyuIpkQpu:>iZNaTYeJOtZPt:fnUnf]Ng@y[]Qfuig^n\\y_ucYc^yvaYfgxZyp`nQZd@mFwh@hacFstxy\\__DQe=AqKXgkG^uq_hwv[IrFoypIvHp`pNtjGqCOmVa^xFeNxiD`n?HkLF[EIwf>;kiH_RbAV\\oGxGRPkUGOTxwhWMiIITSQRdQHLKeIugFcuAOfZWV@aSPAcQ=isyyM_E]wUKktDsDMSuyOtBsW<CWY]b]ei:[v_ExrQWQix];SE[XMCspsu@kw[yBAKSZyiCwsGcc]yUysetgi]OSDEd@MTXYf_OFcKYEiiUOH>[u=AGAEF]QcqOBx=EYmISSSYsBdESAiddOB[iE;;B`_VbAX\\?BJwv@wV;OtD=rK[r[IXvkEcSY^GVvUgNgYC;GFwWZ_BeIVvuC^my]?yvMxvWgyQJ_PQhHxHDlfTsjxt;tsW@OdELVUQBTqNdS@mmO]Yv\\LBPnf`rqEWE]KaxX=\\XkqJ[YqvTkmiKHAvoHJ[qXZylgMTlljnxOSMUtmOrqs\\=xauWBdoeyrauuIxv[QqOPmkeSHl^H>wN`cJadUxrqG[^@]sXc;h[oAlBN^m^[[PoP^d`PkHGuDxebYsJagR@]pnp;XnMqeDXwpoyspnMQgH^ts`]>_q[^eJxcHi]^>onVtyF^rGbOnobvg_qavNmdxo@OlNidMfaNWpDGqi?^KPl_A]QWhI`\\]NkwV_GW^eOlTVmcIZsoguagQVr<oj@fawxq<Qdp@rSxt@?ed_^qY[lyr<?aCaofPgp>iSFlj>xFqi@o^C`qb`x^ycCAiri\\KfyNHqfylxghYIssFcHgfxh]e`nmW\\K?cS^qoWubOpaFnuoyDpttvpriadAt_P]e`eJYu;IaiqlEq]=W_jxtp^_Vw`ixflNlCybXvqwHpp`Ze@xEAr:>l<ox\\P[dxyXpea`nsYjr@x<o_HPv<nr<Qr<AZZOn>QnYv\\[^i=oqBxgvhquh^ZhZ:ibLoymYw=Go]n_DPd\\xorn]=^^Hfs;Amt^g:f[Ef__wd>WkyYx^ab^p`cY^sYwOInf>nIN^kGf[hy=qs:iioagfqw?O`\\nw:Y]?@Z`Xqy^k^HuO?[G_a@GkPV^QQiwWrWWuF@f^n]yqw_PdHX]\\ar\\qccwtHHq@vn?ApkOog?jMIyvQchN]Bpxa_ikilHXavhr]giEvvqGtfXsqPpVFkbPk;xd[H\\SOyGnmFh\\FG^GPcMQxmAiiIn\\`bNOmFnuxanpG_xAumvcA`^[Xox>[D^`kNeuH_w>d?@_JGfLyl^peM>bcfyvHtoymYveL@[liq=Ac^oxeF[V>l[?^DNcC?t`iv<a\\yOju?hrFhyimb?f:>ZwypUXm`_dagy=nmlWsS`fZ?s`ny_N\\ravFhkEIi]I\\Z?j=@slfnMxw>iyIqcKW^\\Vd]>^jP[Go`^XZZ_qLpmK_yP@\\JxsXi]B?n]yf^NrEpg^HmYIshAdPgbpQZo^_lhm^w]BndJOdO`]]xZkYjfWjy?jRiecogQOl?ip[VbJOmKV]yA_wNnK`mewpm>xhQxZoaOolxFye_dkwm=GyVOkRvnuWjs__hQnciuR_]NXds@n\\IZxhlWIdMfagf^w>mtGmuP\\RW_FGpeIxKPcgQ`yQ`IPtIW`mv`m?c?ys@o^CqoZV\\FaepAdN>snQylY\\<IspFaAy`p`hXqriajF^hbh_evdcFw\\amXG`Oi_c?`ih`eobZybNaofV[>iaSPc^Wg=WoXQy@?iiNh<yaGpfE?rn@plpoeXm_IoSNjTAkWN\\jqi?>lhwylpwo`b\\?eIptHIva_lKhc>Hme?_GfxhX_S_wHG^CFwxw\\S`u^OybacOQwNFwWgdcXh\\vkgy\\pp^DqdJFnj`_wXu^oaP^kKOcEAvNHcXioOYdMgphHnY_slAqs`ioWbb^yV`mAh\\mWpIImJ`cxNxBYfWoZ^GtGF`I`alAs]vkvNXvuhAuUYuEy^[vkqN`hausXtvyqMHZsgemplvNxBMX:jcUnBynZtkvLxBYNI`Ql;]igGxy=B\\EbGqh];SEgC:;B:;RLEdMCde?DR?>::2:\"\{\}<Drawing-Root>LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlKyEpRiotJS5CT1VORFNfSEVJR0hURzYjJCIkIXBGKi0lKUNISUxEUkVORzYi</Drawing-Root></Image></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" size="28" layout="Normal" alignment="centred"><Font bold="true" family="Arial" size="28">Monte Carlo Calculation of Pi</Font></Text-field>
</Input>
</Group>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Introduction</Text-field></Title>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group><Table interior="none" showinput="true" alignment="left" exterior="none" width="100.0%" labelreference="L4" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="cell" postexecute="insert" showgroup="true"><Table-Column weight="841" separator="true"></Table-Column><Table-Column weight="840" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">N darts are randomly thrown at a unit square inscribed with a circle. The number of darts T that land within the circle are counted. T</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">he value of Pi is hence<Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUkmbWZyYWNHRiQ2KC1GIzYmLUkjbW5HRiQ2JFEiNEYnRi9GKy1JI21pR0YkNiVRIlRGJy8lJ2l0YWxpY0dGNEYvRi8tRiM2JS1GUDYlUSJORicvRlRRJXRydWVGJy9GMFEnaXRhbGljRidGWkZmbi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGXW8vJSliZXZlbGxlZEdGNC1GLDYtUSIuRidGL0YyRjVGN0Y5RjtGPUY/RkFGREYv</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Image height="318" width="318" zoomable="false" labelreference="L5" drawcaption="false" captionalignment="0" captionposition="1">MFNWtKUb<ob<R=MDLCdNFZxj:>[@ZN>av?@<\\C_b;_drOugime_kNgxsyry_[E>s?o_Dgj\\fZKOs_@kB>_JQd>NdCNldOoCnZf_g:arN^cF_t^H[tQcwgj^fc:`nG@x<A[i^kJptBfnBXkJ>bJ?bJ?^bgrB@^P>pVQq<GqN^vlyyyoilagIasHawHqwFImsvliy^sFauXpuXpuxvliaIiwqaag`mmW\\hxg<?[KpZpwtVw\\wx\\o__>@\\cFfCobAAbBFlpNgn?[>GarXyhYqWwthhewyrqhupWmeYuqxgXywU^`b?leIumxfPYgYiiqimUiquwhXywynhfAmUypiweMxua^bEhjIX[pAv;YjtN_c>fUqpgog]qrGpgIqmwneRO]M^\\Mf`piet`hkWf@akkw`VAh=gyx`]v^yjYrGQyxyyxyxypyy?pwirEx\\mpai^ZQAa\\Yat_xbwyqycR@`[`gyYjBp_Mv^H_xQYqfnqNHjjhquqwupgMqnGoy<>bZNh;?[JfZfh`>F^YhhPf\\JV_xqbr?v;xZT^iWao=opinqrQrEXayyxQyeygwqnk??xyqvwprIx]iF^NXoeNvh^hVAw`^hBFbh@skWlIV]p^sE^]PaeL@r<gvyY`k_`J>bphwUypuYv<hhbWuevovPvyx^bNjsxai^^vO^<?m?WjJIfGavDf]\\qj__fq^p?YvLqZAIjGaee__YAv=Nr<CUYsisiVgF>_EykERKR<yFd?slgVEauDidecyGMyiwYwYGeYW>Qh<pOdpOe]LVmVHXlsXs`\\johpopYimlmHK[HqRyqsisi]qrMwrPSraR?<r\\DUt`XcxLw@nOurG<sGDQsMx^uqA=y>Ew<=sklKT]jPTO_UYdIoa`unIwMiqBLpQLLxDT@=K@yOSMp>YKXtMAdupxVXHY`pQKDNDyK[DJfTQmekKLR>uWsQx_qW?QkOly;\\r`MNrTV@aKsXrLlQKQTrHrrHnJTqZEY@llWtPRaoSUp^lXOML<mkyTM[iJ>yWkQv?quL\\Un@WKxurtOB<NYYNEYU<yNT@jrQLqLlSUL;uxEXmbMunHWsUSq\\Ro=v[\\PumxfuqK`U<OxjPv]y\\X?i;ygRWv`NjdVlK@xC@ZR_hVa`Bhejngaw`GngPOem@pkGZevgxaysqimvdRF\\n`rBHq<QirGcrQdIhfDVjOfvlWl\\yk_vbXgioidiniB@^\\?cVplGPmCy\\Y_ikHuehd\\PsCYlafuHh]u^eWgeWXgQqoWxoGfwYyqy`jI_f=hfq@h[QrtGr=iZTHamonIXu_foJ@aGAusgf]F_?@[louCxZxNxBY^xaeM`m\\YwkgvFImmna]isLHbZwyCy^Y@qevdh@q;XZANcrarINjAhjaWw\\GhYGkIFhkYoX^_SAfwxayaymqwSyfYhxPwuvHimayo?x>Y\\I?yeOZE>`HPZB@sS@wSvlivepyyUndYWwPio_^icgjEfuX`x`>iBh]qFj\\whcYp<f_[NroGjbIfGN^:`^=ovFIm]yqPvl>?[PvexNeoPg_Ylog]unhN@x_Hdjaw<qZfPqrheRQ^v^sGn[tOZIiaqamqpZspcrQeNy]Fx`WahMXauoxfotewthhemGmFo^lPnaFvEFZXPh`QsR@v[qvZGvC?x>oaf@bTFZ^Qq[VsIdBGVNiI=Gv=ybuWvAycaeXuIWUqhgWEsKX^]fIGi>wgF?TvOs?QWeqVK[irorh]sGGFUuX\\arCst[WRAsXIiIqAiXeitEw>ubfTjSqYpajC=L:MV>HTu=X\\etWyYyiykXqH]NveV:qmJqp<QjfeMhPSVxtimmutXHioUuphpyCmkuTx;yJY<yEPqYuqxMQcIN\\ewj@qX@p:dsOlnPYxoytYukVeMZuvHimWyoxexe@UWTVCtUC<Tf]s?DqZEr<tysDPvLKRUlj@VwuthhUGLmOpUt`XCiYvIxAQLxPK;QmYypYqYuTw;QQ_MsNPyTDROIYp`MlesMloimQH@RvDRndKk]QdEpjPk:tP^isqtunqLKMLZ<tH@t?DNMur@iKA]MA]T@puwXYuxNY`YLyQREptxQwaxMuWwITpLjrltNAsxEWD`m@tMuhX>QmCTwjDOw<PqpLQ`jaxWLQM@<vx`v`UwZQwOYoKpsPiNSLl]=YM\\lw@UvDmOENrEMTmJatTq\\PqplrUkoxNaIwutXhauRuTWyP@AkKTNVIoMunlPkMEpf<UH`NdxJXEMILUPhP@duYMl\\\\qhPRrEqthV=hn@uKw\\xJey:PMHHtYmylyl>uxWUVGivgtpVQvxiyiyYuAUYtmMMqj<V:AJW=LKLXyEqaEmYLRbMvIyYxYpy=QKlWKXyetTq`NqplaPoClM<urMePgTwcUqquwhioCDLW=YBTmuYSVImwtPsttcpJ_Ds\\YWp<qnxkwlxRxLyTXilynynyDsO@LKXnMunHmuOiNHyRPim^yJ\\yXbAt[tyT`oyDUveS<]OIDrmTOI@jlDpvdochLKuJI`jl\\NDYoB]YZEJLTJ^`N@euthVkiL>Xk^]urHXxlU<hVqPWOQOqaxMySeEmS@kW@J\\qyT]wiipQqUmIP;aPq`QEipraNvEQhhO_\\M>qRXYYiiQquvWxXdqOLDp>XYsIxAyMqYOjmpfEu\\yrJpnSixOXoUajeUsTQuQpUtESqmkBhQrMONAykTUSPuMEqxPXoUwWUuCUl`DqWXQqmtuppCeoEYLciJKXSuXwetTqQQ><jyuxuxusIY;LXgejVuUsPqCxXgEPuiWvUnVUU[ttqdYhxWd`jIXlF]QIdvAip_Ho:PkvdRTAn`yKqtluEjuMjODQNIo`HOFYlTtTQxnUYnIpQdttP=k<loiIp]urVYjIlQbtTqDOZQsL=tcttP=k<qoidMY=LA\\UYQWNqoLqJG`vEIl]tRVUmpdWvXyWltvmuFMtImOM\\wKdQH]Nhho>uSBpjhxw@hKU\\YYhRDQq`lSV@w]EvO`js\\qnqpvQweFqEv\\h>ykxZfPbkHs>P\\xP^[XnBF`Fnm\\?moaa?QlJI]S?kj>^`yjrIf_G\\qYbvQZhHfba]r>h:y_X>f<WmkiyqyuuhyuyxuwhVOrQ_ZvfobqkFWac^bIX\\dpbGPbnn[PvuPioUgqBNfcgdL_yBx_LIdtv\\>@phpoHOrQ_kbIh<A`SIaK@mEIgXWnb^bm?rJ?bvA`N>\\wN`xHfsXm;?wrisfnu<weM@xoNbjab[nhV@bG^fKNns?\\Iv^n^bsWcJAlBV\\V_wVIahfoUwppia[VrJnq>alm@^p_`GabvA_QGempfGxabOvy?\\nnfRgsaymyowmvfqfunsuSGAgyuAUL;YrAx[uuqkcG]RYkTm=dnAIwMynweiYyPYUiEyFSWReFZ=cVigqoudyVLUurWBtgYIoEwKiZgFRaELCUHQVmuBrMIkMhBqudgdNmH^EsbgUnWcD?iCcW_IE@cE@YDOCtUeitehiCTZkS=AhcisUwHuGT]oRsoIwMybab>aBDiUt]xbIvuSIM_G^qE]wR_=UhqW_OwBSViQw@StiAe`itdGRDOIFMiIkCHKBlsuiyiyqYbmDrCUs;hk_dvqyIoItASaSF`=Htcd;mv:EYRMDDMr\\eWkIhTSb<YSJEVlUvZEXOKh>SrtiY;Qt>SlFxn^`Q;UNdTv?lR?TsvDoP@nhll@tJ`ljk]NppLYllXHkXTwFdNtekMIn=ujvxoAhL]YO^qQ]ljl@s]IKSpUDUrBiJRAV]DKYeJ[<uDYlAaRi\\oRXRL@VHmOEAjl`swALaavlqqsHUtlYYDrkMJSQNX@tPqMkYv[iRQQXUXPWtP\\ulOipfiOOmurxpy=y=yM\\TyqPLRyN`hrNYoimqsqrUER?`Oi@p[ortX^eojjAvpOdlY\\PamVqxgYuuIqvxbIp]oijc`yH_bi?sJH^LwkRXjEYsfqelfqohpopq^__Ygof?xtyar?xZXwLinEgthxyRwfoGy=Ipna_KH\\_wxP`o`v\\?ViEhh[Gol^sB`_Sg`Z`];hoLG`pNsC`slv\\CYhuGxp@[qFljAbFVjeXnRWiEodY`ZTvtyV]QyyBIl]feypiwavdq\\Eh\\LO^x_lf`bw>ptxhiqufFt=NpT`ln_dUf^P^bs>rrAnViZkWv;vbSGmkxfIqmtGt=VsdY`qy\\K_lji\\;vZJabIPv^OwnQnHfZ<ik_g`?@c<^j@A_qGvXf^>ffEYuBFh^YqxI^FhpqHkMnauOmRQ`n@qNIwcVocNt<ausXheylqHhiPfZ@li>sAntX?]?VxCX\\xNfBntj?j_?g?p[b_tj`_d?xcxbPWl^OjlPm\\FgJNilpr@>ex_rkQxghq_nrVXyt`jivZ<pn;qtL_ZJWv<wphguVAukXfwo^OFZ^gq[NnAW\\?F^L@[XA]_q_uqxgYxEwsRwfEixiWdVA\\wNlUFdZNpSgelnpPabNQq=qrGpewPisHoMwntitKFdjvw?@[MNbr>i__r]I[Ggyxyxyxx\\?kuW]o`jT_^gnadPr=hw\\YvXycIOnaNt<hhuvppnxrggK_o\\>kV@xKP\\aAf?Vv@NbB@yJ^kAYf>a_R?p:OrQA]^gjbgi=o^QhdSNmKH^>_a[HpbnlY>p`x`RWvaFvEIjFnoOQwcHw:@\\kqjuA]=nr@viOOilWef^jIVhrgrDh\\xVhUvj<ff[^bMAf:A^:@]nntGGc<yhW^sZWgkWjbirc`g??[KAapwc]?u>g^XydoGvEikeEW[bJCs[;w?iR_kuQeX[YTVuSB_vM[cqIhfgcpAWcgDxcroabBuCPsw=]xjQxLEGvMceICKoIfqUawHYeHw[id?CYOvtMR^WdZwXAQwf[BjcH<yfroeJCw?Qvw=b;[TG?YYer?wSkeI[[RoWvweDOkITHTVuSBDLNAJViUtDP_lTrqmumwstMQYnWep\\QY<]nU\\RIHj?=RvxoLpOier>xk@PnnHo[ym_hTo@L<=Pr\\kH\\SBpU_tJNxT>=yjPxjpx:HoFMmsDN>@PFULbEVOEoOeMODLx\\lVdRAiqOUocDN>=LT=UGImmtry]Ww@Q]uOv]pZpNjEk\\XnfQRBDlETNdDWZMkX]T\\Hl;=w<yj<XvdqsXhQulxg\\v?@L[ALn\\kdDlbAKO=yFyVQMR==KKaL^LQRAUSiVsDjRIKYtYvhVc=SSUO[HN>@WDTSn=T?LL`QXp@t>xsFiTLetb@qJLRndJkmQUms`eXyHpKlQE<TdDn[\\ZV?eZAb`x`FabA?_<yfwhxgy]Jft[awSYpx@gvGylivxginIkMv^n?d>_vc`b\\XnfQrAGwDNcGOb=acPGdsOwdQwVQoOWoVIoMwnva^uYxaysuhheqtsXbAp[cAvB@s]G^l^eWA`dWyDQ_v_yK@_n>_[HdWo`gOu^qoWWq`QeoPgOwyTvmiguthdAvb>QZMA\\vh\\FHoBQ[YntXnfcfxtOcb_dQX[Qn_^iiwQwOYoXiZPN^dAvoNdyYghvg^fjIVgiouvHixYfs@qOy^bGw_QtcXdaf]ZF\\E>eDq\\@htQo`[Ylox\\gnZIn]VAbvAyvybyNyKp[H@cwhtQo@qDh[UbSWiKRFSEp[soqwWYIEQyeQuoWgU_HcMdHkcBeiOyTPCv]yC\\mb@_gw?WkkWVAIqYuYqyPiCYkIViSWOIOiSSOH?uB?]rTQwm?XT]F>wsF=TeeG]Kf?chNgWUqhOIbJCh_mrFGEoqRPEIdQyDmDxSHyCT_EUuMRB?HjsWl;e>egd?x?cgwctgIcnGXlavCdwTiphwgwt?exaqsWWt;ECCSsY;U\\chdMrQ[hpasAsD\\cGVcIt]tg=ujGricBv?YkQfyae_KbLsibYUweFCsefgIKoVpwWYqwxwyxYyfOh[[BjurHgEt;IKshtQUf[Ylox>Mes_XcQdYQx;QybEDgUgigr<yFeuS^GEl_vgWUqoxeyemEwJIf=oCJ=cRexBEGPuUE_bI?I@_gwCdpmbHcEdQunGWMARJswwwpt<Q[LP`]sRtWsIVoIu<IkD@KYdyWAVPaoSMppaRdEMr<XZXMl\\VBXs^mYrhkTipeuvEpruxXiqo=XLllLeYVhxSE=ocmwI<nl`x=yjSXPaMwF<kNUjjIpCPs<]mItkMtTQPP\\lVpujdEx[LYBxM`qNwIx?@L\\PMFumxduiylhdUTlqeXWhmogDNKLRBPWJ\\U@qtVIn>esLlQFQSLTM>ixn`QG=KKeSB=XjHPDqLkYKG=yf<lBuQv]yeEN>@o`Tt`hSeEluXufDvmtPQqYS@L<]TMTSjPlZAWHeSYEt<yRWqMUdsfdv`QK[Ln:lmalMb=pTanfPramtXLnaPuwDN>]Tj`NAHWNEU?xs\\YYDqvDD^CV@gWUqhsgYuqxOwSrAs^QvySTqwtVQR;EF>?CM[RIQWtQcouXEODxSsR?uUWC[[RNcuWQVmWiGMCYCR=UgKGdUWG>?GAsVHaekqWcIf=ubVidesTDmYy[IK]ILmbXGd[iGS=yfEKDdJSLU]\\jJdn:eXBeWgeoUYpaukuAw]xkVyuyqyqQpneoptkn@m^tRMPrqPX_QSSUY<=kl@RumywYyqYyHitRMYfILwhxeytQhsWiO`lsQanjImSAoTiQ[Nds>hZAbXqsOapfyoeXoeFwwHxBGhqGe<qtNAvkacMOnAYmjqfdar\\^jbflEylivvwgmsh^_QkoiZGnpPV[Y?xGajJNnNNyqywYAneg`jQeqpgWQcxwykYvAYywqnGWmTo_vox=qx`ObBFdDfquwXuexcYdiriof`orqmgxwwxWyvaCMOTk?dVUTPsU;qCFaVlEg>od?yF>?GaSfAucpUB@[CjubIsEpirAiYuqxoYhDMs;ci>;g:EF@ytRuV`QbPsE\\wbrIGxwF>?Gq;io_CeMycySyMUpCtmKcCWxO[DxcVmebJCX^?ersU;EvM]YI=CKsRFQvmsgo?W[YTvBQ]GHyDNIh\\_bIadLwE`iS>?D\\kSJaeNKC?IylQCYgGMUdowF>?c]SdasSpYy<EXx_i<yVdCWy[G>?DkMbswuPaensUVwg;?xSQIqkYBmDY?D\\kcZwUBwU[?IYmfJghaMcc[bJCX>QGLMx?IyT;CYOsR]bJCS:aIPaYkmi@KraUrt;sbQC[[RVEHGSsQQfdGbjIuqCSrabJCX@OTvKYnIdq?sG=X^ECYitewTwaHokY:UwmebJCXAqr_]ewSYp?hjIt@KIris<=CK_B[YIymyvEV[YfwYhVaU[[RL=f?kTKqDYAh[Urn]r>?DcAXoeWB;SVgGxkBP?HJafNIr_KRB_VBsEoAssogheSxScikckkI@cdv=y[ybxCImewTiHy[i^WYqqw_UWceG>?ci?y_qdn_HBQwLGtGWVAmdIqIuaswUygyhX]iS_v>qyrIx]iSHGeMKR^SeveDdCe\\mickCvEy_ydGkRQIV?KHv?UBCF[YWN=y\\QUDQTbmUakWi?D\\ciF[MZMXglQ@mtKttEQyaQPStt]xRIdmsEN^ExolOv]ktUk]TNAmknuPXAY]xmMIKfYQp]wbqrHhMeXPi\\j>xOEPm^@Uv]kbXYjIrAdYfxkoEY^@piuqwqX_]X?@ljiNQ=yFlvnMK[\\j;HLNYpauSYMwP=tOiTmMJ[\\RLiox`ShPPdXwl@L\\DkPuU;Ev=aMNLRB`nU]YSEPxdsJiLCMjoxvYtYvIpi]RCMxEpvU\\O]]Ll@y^\\Y\\DlV=qjErOqtPQieNfa?wFAqkWvNWuSPblwssonkVhJ?krPpqwwXa_KexUdUwHimt;IS[Ci@eU@mDY?S\\sRH_Ec=hVEdO<W>IXhausdMZDKYyybQt_XkH@lB]JWXQqmsuQQ\\=oDijnIlU@qOmTQ]NLHL]lRrpPgMu^EUw]O]]Mj>ZgpvCG^Gplm@wC?_LPbqpGsiHUiWUipmU:CWREbbiCYkqHlkb=q^eSB`nJYoQuOqdXdaTqmvFIm<poi@l?yN>MNK@wCpR]]Y<=KKpJNms\\\\jJ@xCDN>Mo>xSBDN^\\Y<=K[DvMLRB`jCtMmPO>@L\\Dw^eLjtJuMtEDNLIJW]WpxWYqwqaxg\\qqquuULYUybtTQ=kNXkXQwOYoWIt]xRWeUWemulXfAmUUqpeoYYSrajJDk>TSIpSOIRramQYl>dUrhNvMRBtsCYlaTMniO>LvwAU=PLxDN>MvbAukXni=tTXK\\=uxhYuaXrPqDmWBDlh<wU=S<UNqxW[iexXaKyyqodPwxnIwMQqLN_:ilevdVyaxIxIvhrAx[wyNgfty\\wYv>@on^[[I]sNh^xm@wjrIhgo[SN`>i[V>ajFdyyvQyeygeR?y^GxOobnqtfHe]yvx>xkFmnXdapcsHt]xbupuwXieU\\OvnYwQysiEShYURWU]_GQuh<AHwYs>uGrMTpgWUqdoQeJcd`CsoWYsOu`gdUcD`AykYvhQx_YsSugK[U@isZIce[JxMX=AYSprvAVKmYB\\NaYs\\HPpAlFTmJLnvaPTmsLXy?ETx=S^=loTK`EtJLrxdYtAYK]L<]TRitO@x?xKSYuY]y\\yLxMyQLRAAo=MlTTn@ekLIrKLN^LX=AYoDyNHTmiX=iJ[XVtyLOUx>\\l_EwCDLhDq[]q@TOqlxgYuaXnNENtxXiqOKYL\\LK<yn>tjJLNCQnaDvMLRB=yZAt[XRtLT<=KS]Y<=K[Df>@\\kF^Yx\\Uh^v_\\LQcrajJFc\\ve_PcP@xoHgMqriyhiqugXn_^jBwljIoPxcBFl>>eJHrD`pVQiSa_[YpinwSYpAwbF?[KViFYigatcXdMQrarMKR^CSrQIn=ocEv]HO`@L<]rWTxXUXU`o`EKYdm<MqpewTuwQTK[\\RVHPiipKUkIlJGLM^tXQ=KKTYbeRO]leXK]mrFHslik?@L\\lsPqM@aU`Tlc]UrAwJ\\KohpoPQlMRB@ulHX]qrfTVhHT[YmjDV<mtIDK[\\RVDunHWMxuIxMylqcEvuhwpXuvHWBMX=mwh@L\\lwPtmSTXGPKY\\QjAb^gxCFd_o_WOq^qphgudyZJyoYwqXykd>\\?YkXnrUnbVnrVGd<yf`HnSPk<?kDQh[Qr?vxHYaiAy`H^oghoowRIp]oy`ofiNkqpxFAkeNcra\\aY\\\\PqfiuuxtExej_[cirEx\\WqvGYmo?hD@nk@yXGb[YnBHyhuugic?GkYD\\OxVCIl]FE]x:ohk]CXwIqmwVfk:gyXhoxVsQvue>_vOptajbp_sXcf`[>Ax@X]h?t;Ng>^bIFx=Ai=AkeoljI_Hy^>gxRF`\\_jiW\\Q^ptQgdOgVAj;VZvQtLGdRprlHq?WevonXPbBPsKioUw`qnhfAeQqoWWai>jf`a:_x@x[Yno=Xt>fc?yxvYb^@tQ^_Hybgv]\\ytRPiDF^Dycipew`uNIoMguSX`aO[tpq\\V]ExwKn[b^lKigNQvENewOkmI[Kga^Ni?YxhYqiQikYfSPe]GpJqb?xglavCIe`XnJNb>iuGi_DQv=g`gP[T?[[NnFG`Chk`fjIFtmps@NhqgjJFd@pZDav^Njtht\\FvENquXsQto]V??DKgV?QcOkYIMT]GgTur`cbimvFIeoyWdOhPCF>]TSMinEgYySUoHgGsiiWL=ytmxfIwwiV>uWSQh_MItORB?s;uh_MsR=G=YYrIvAWSQkIRGH]mRPOfDCF>DV@EunIwMYkTMtQ]ljInZplWiN:@O>@LkeXmUkPlqZHyr`VCQLWdV[\\R^=rZTniENGtREhU[mlclxGivhQK[LnBhTV@m@elO=yJMTLdM>DLoTk==KKdJ<HSQMvueVQlQ\\]YpqrlPy>@LK=jlTQPelK=pFaYGPpEtMR=vJeVgLbkghmWmg^i`Po^ohcQjZ^jJft<VcIf]<Y]gnnpwo?QrQ^ptap>hcBFdG?xvFkkIp>gkvYbbPraWcRawQP[[^bo>ghgwXGc<yfoP`TOr`^jbp\\NiwovfCPeCQrQ^dRijEv\\da[BF^dnkcwckXcNQs\\^irXqratNYxSW_RF^>@o>^^Qw\\gNe^yaXh`eodEpu]hb<yj<qsSX`AyivQxEy_eacBF^dnrvHimaibh[Qvl;@gOV\\x>mwVipgqOynLq\\[^b_howx\\Y_ikhriYt\\GvENewWkQv_PI]KNb>QrTY_C?y<pdYFhxfoYi\\<_jC?pL`nNVgi`f[YrdYpZQn\\gi<_^EXpawstxqwiwioikPrYwytydqxiyqydpyw>qr@qthnTWi_V[YHew?[Z`oxF^LXbWgeWXeoPgOx\\yX_QoorXcQp_sh]unhrqwFgtlpxjWh[ImaomcFywQcPnaVge>ycPwmJFs[YrIvanwthheEQigQwOeUiheuTOegw[GwOVUgc@OGv=RLWRPueJCs[asSWHGkUeetdgdQSrMsFH]TGQuecHpwTPEvMgtaNnGWmpfZypt_XcQPoSWigFeXp\\T@x_Qew_o]X\\<_rQXiiiqQyw=pwhn\\YisqvufQuphgUGtyhnVqtXGe?x_bgxcg[i_qZ>hwIsavmrh`eotrh_UoprXhaqscAn^`mxhiuQq[XbAPqFovyO\\;@wGomvFq\\xiAnjNGqghabH_ay]ChtAHeDqb`ijHo_\\NuV?qjGrOqtPQywvcqOpswrIx]qW\\ancnguthhMIZDG`Bv]UIt]xbWwoXgqdnyuIkgIebaoVptXSEwsfoIT;EjyBysxVYXtOX\\=rHieucysQCt_HvmisUx`^jaP]\\xZR>d^VcEiggilW?yFGmgg`APaq`bYXlavctQ`?`iP@^h>pJft:vxpijQnejy]IimuvpfywYoh[EwSHEEhtat_GITaHPgie_XJSUBSvcwfXOxTIRygITUsAmUrAb^sB`IGSiuQmUseRaEH<AXXOX?yg`of@iCX[IRuBA]T?KiwCvgKT_KHymyvATxuR`[gykyoytYuxuMTKQGiEchciuuxpuXWiXQWWWQiowhjAs\\iukurWkyoCFdcSjsI:WcUXR>Poh\\YRMLRmYvYNRho\\LqF\\Mr<tIXLRtPh]mu]xKyRWAsKXNo=T>eT:YR^eQjLykawmxs@pxuMP[myMllbAPMiT>UmXdQt=YEySBPW:xVberDyoxPyd=oyXONEvElNt\\OREO>@LsAp^=OXPvRHP]Mve\\YZEkHLtMIViXv_`J]Uv@ikxeJ<TyvUKghjJDt=QsYQj@?eEv]ROn]Gr<hZ[hxmQb^quswvWve_osdYZpYwPioM@yCF\\kOjs?jjV\\Tf\\QnaE^d@HmbAnCOv?YkQV]V>tqyuyweQolJF\\@vcJvkJvxPhlYglZVdcxiHQ\\W>qZptqvqV`\\dI\\`VkI?kbQjA>ka>cGqeRI[GPoBveQqoWWwQpmJ^rvqwuxwDQyxi]t^hBYytWqpgwnghCF\\K__cIgs@j>I[Y>f@QtpN]mpxCx^X@_eYiI@]kN^iQ[>Hf=qjcQwLN^<`qnQtEou=^nEXdRVwkW^]^ijqvUxgPy`k>r>i_Q^o:?]x^irxo=WbjAu]NiwYyqytOn^>_r:?xBhw[Qv\\H[fY\\g^iBp]yA_Jii[Wuphg_Wii_bHh\\BvqxiXuiaeR<?D\\KUZIxwkxRYVxYVfcijWWpQF[[Y:WiEMh=suXWBJmwruUAqcWcXoECKCTrwvgmIh=eEQt\\sFvmvYYF:_GMEGq]iI=CKcS<GXwSgiiSO?x;=UkqI[[RnAsGWwKEwKOS[YCmkua[bBoCK=ceiR@=yZ[wrueJKftaR[kOLMramYyPvwMR^TLt]w?ENhxLsDv=druajBmM>xo\\PLQYk^@xclua\\Rl@NfejEXSRTODDXw@SDtM^qruaPeXNXAPXPXeqtgpqyLvtixeiybTSKpK<xxj]doQ^e^i:_qIHhl_]jxbXFi>GsH@m<WdROy]NhXFwI@ifAukv]aIfiNlIfsA>]sF\\_@QPrAtWyhypxwNArNdxcTT`@o_eYFDuuxXixLyXWQWoygkxGkUx`iot;Icr^hYOel`fCxkaIfgyb_noQFi[Y^JNq[Wr@v`b?tZv]eYrlY\\kQvBIl]Fe\\xZgPeoPhQwoXghaqsWXt;Ncb^fjgoypmWYrK_^Mft=>gIW[FgfFofOHq>YkHimuvvwg]k^onw^HFdS>plAcFOhxgseWkdFmbv]B_bIXZB@[TIbOFx:Qy]nZgpaTijG>]j>b]^_M>cJAa[XllFhtA_MHktIZ_Io;hvAYd>asbG\\wOqoWw`qrHh]eYaZW^:HmForEp]wV\\?OpBnj]pvIymYOtVakivqvQpxP[:Hj[Gf;YnqOroisUodKWcuVZGobiIqaq]qqrUvgrPuTQeiG[@GuFp\\mxtxPp:>ZCniC_b;_dy>h]ikqNqYhyfyfhy^yFyCX]sNh^gb`xfCPs<OZlOt^HchawSYpx`\\gIyaymiGxugoWWqPyd;^myviXyr;H\\x^q>Xmioqs`vyXhcQt_HrlAqWImr`]Z_caWcEXed`e>Yj<GxxF\\iOj_vfRGiNPno`l=vZH>yqIqvGylgye_t;pwSYpAydA^nHitGNr;in<^mlq\\H>aIW][^b_Ib^@_oVbvQj@GcEGnxX`bNi;ocWPaOpg[YZFGgp^riOv>Ik[h[bv\\<_va>iiIpTQk>^FcwUyhi=TxaV>GtKeIMsr=scOyboyDvMwBCN@]xFYu\\lsH@wOXnvDksAQgUuphWjQYQpOW]Y\\`S<yXWTSSXNt]VDdvpQKKlquUymymyaqxEOThlThl=\\OxXyhYqIywcPJZDoKiquuXiET@HRfLptHyZArFemtdtwexOyThuvHimhEylivxIK^HXLPRNxMF\\KVYuIuQwapx`rFDxetNWPQoMX=xJIlXwPYoQxumpletvmrpToUxKeIx?aLpmm@=mZYsPhOMiTd\\RSDrUPpRpMghnRMkPmWKYK<XWUlx^`rT`NV@MVquXdQtg[Ifowga\\?_>@_GNkMHk]XhIG\\TO_Q_ciPu^OllOjbd<gXxefNaDCCFx=U@ob_wVoMYpObdCCNaFcaRkMXBWT\\ex[eyWKIn=GLgi:abBOIfgcqghq_dIGTCEd^KHCUI[]XuehX;VV_I\\qYdyva[RkAh`ku>ucowhCUDw_RDsEJOBa;BeUrE_G@EF>?WVKeBOUeEGvgfr_Ts=Srqg=MsWGYI[VY?WsmSfObsoe<=c@?vOCV_IUMCTL?E__XSEdjid:ScNwIuawmsu@ae?]sGiBKYuoWotqPpaLYMWCXmb`JQmoVExQQMQqOgpl\\`kg@jlpXkAMFDTiynQMOKhOZmngdKSeNTUtj@jSTWGpX`AkSdqWQk?xnQaxcYtwulALKWxUuewotu`QSgeo>=UJiS>@QmttettgIx]yrWIr=xJwipUdp`\\oNXoFXMqlsQlNmyxKLNtXxHYQMtXHMXE<m]TOv]K_HvC]VEtlSht:ApT\\o:MOuXm=LvqAy]ykuymAiwWEqlenIAyLTKNUMnEThmpfEu\\yoWmoSUqpEqhEuheqoqtBayW`Nk<o:@nQpMqQRRTokLnd\\YK`OaErG=QkMv>muQyqsqvUtuNQp_<lWPMylYvxQSAmoaQgAUsINeySNXLv\\LMdQ=xsspXAekTdLCttPXY:QYTMt:]PgeXiHlGHxkDletoimU\\Xo:]w\\YxIyaQpuJVj[nwq@gKQ^Wio\\^tewlQQ[WWtOphgGe=VkbIdoAjeWm@QfyActPq>AxRNbwymyayaVwoO]M^[SN`>yhg?_?n\\=wasavMhxhxwditehUyljuxYyYy`UYETl\\UqxnIumHQYGpk]>q]q[qYvYvyrN`hhwuwwwxlBAiX_gWgeRfat_pIN\\YHamoruH[vf_uaxcYvuqhOXkZXwEWh=N`yPhwgbc@vHQlVXv[icFPmewlr`hopZgFsohkChrao_gvcBYehGq?y[UFqeqou`yaiv@p`P_tefijIrAnerAil>fKNvDV[KQdIhvpYuiwx\\wb]fcfP_`^sOWsoh^eWsohswicwo]XqcTAkGodQAwJuZYuNAH`?HfKXWuU`CiKmy<]IJmgi?Wc[HOav[gsxOuhgGIKXdcFLQwGar@itgoB;utQgfh]I_CUpWDPuDREF<AbTIRPEVRWWU_r`SBCgXoUg?=toifbWdacBCwcYmylydXQHNKFd?hfawIwYvYfi]s;er<GipOwGEE=uTqOERWwEIxRqiwUYwQcI;R:cbBOE>?WXKYbIFyKb;GHG_gPMUoOWOODoMpptMXLJV=RnUoZ@vShQQlLWtmO`yJDTkUWcAo\\UNQlJGLM^yoIAo>xVHmmvDwxhypYUYTOaDvMdl_TYLlq`<nBYlrtuFHMm\\YauVemXZUrGIyt@LOAj^irvHYmaYsPK<QRSPKkaqb@Rr@KKYVcpMo<qn\\WR`QsMXbYxnLk;mohEljpjKtxQtPRXLdmwitrfqmumwKIJLdL=PLO\\uTyPXAY=yroAWxXSkLXNPQd`wYyqYyX_HyxYyiiyaat\\Qv<XtrHnVhprPXoUO:tSOmmb@UumloTrD\\vZPtcpThyoBTughpjXkshpVuXK]W[dRM<LMdqZ\\lFHpbDnmuvHQXoUvbqyLIs<Dv==JsMJ]qy\\eO]qWNXWBQpJlJGLRSXNM\\XeEqXaTaMOQup\\ATtQxnYdpie]?hwGgA_joybvVjfO]uG^DGjtOddQcspolguTA_YwerppnI^FiwLWbb@gbAt[PhoWlZqyL`vj`vAff?^fSA[tvsTh`EyaB_f;Nk`QjuVk?xfqVgNhuTQb@GrcXda`ien_FVZlHqgWuphx]>^\\@j>xoF?h[Ot\\yZ[Yv<hpwQr?X[WY`Iaa]FZNfc<hbAWknnoSV\\vNld?qoHhVxi;WnKNeZgymymyaxeolcac]PhP`j<gyNVehdR=bN=tIIemsR_;H\\SC\\qXR=YVUFp;DE?TCsCFAiI[y[Cc;UGs?g[CvECU:CSv=X;UDeGF:esMcU<;GF=xroFj?xf]ycKbAgbA]GI=SrQVEcFh[gQ_fjIEEys>;dGwfssDsMTaaEB_yZetkAH>QsmCr]IFCihZobRKDx_R;YdVaBJwFvsDwgWB;FP;FkMRK_UBWukmwkOyCwv;kdWkGg_BIMrQ?Y;[VC[EIuXf;rZ?BliHlWrfwCPWEV_Eqmdo]hNWTJkxj;Dvkg;cHK;djifD[uUAf:KUyyIpKs[=GU=epcWTwD;eDcorIksacCg;uUgXaUHXgDXAdjIS:sgE;FWcH<wHESg<]WC]EqSC\\;enIwpIXAwbPQv?YcwIym_wf;w[kF[YD?;He=bGWe@WeAWeBWeCaU[]uYmiHWIfsDcKEjmgrsHrOhnsyn;cQQT:qgjgb>wSNCCqKC_sGf]uF]uN]rC?CHWU@=eUSs\\IblUedSChWGaYBeauTYiUIY]aYZ;YD]TC=y>ECjUBk_FHgc\\=W>=De=D;]fMuBUktYCU;mv??W:MTr;dR?h;]TfYbPOICOCVEUOquC=y>=CRETnmWv;tLOFRMb:ewZsuAUtAedC]hFkcaKBqGWMqFietSMb\\;Yh;hrGDucG?]djIcD;DFwBlUR@cGKkWR]gMkHt[x<kTZktZsHeOY@kvASCt;GnmTR]En_i=wCMCcW_bIPpBLNfmlkiv@hKDDNq\\p_=k;XMp<wPtnolL?]qNajHhYZhVKmlJIu=TRCLKCtmB@PBTMhyl?YmBQQ@dOSlWj]u]mPdiJGiP`qRahNrtMMTPFMk?Uj?]koYs=<jkDn`ELaQqh`NBPj<un>Hl>xS>AMEaPlhLl`XFiPHiys\\rJhoAukXdx\\Oo\\@syQf\\vbuWhpayiGqP`eJ?wJFim`i_^hcQnOyyiw_wyypQnshcDHZ_x[VYvmyvIYi[AfXNrSYpagyZ?m@A[D>^\\I<cFQ]RF=HEgX;UX?QcywCEesRYhauSw]Ch;e[esAmFMGxgGdbayEixGqeIIYW]fAkgY?RVqXCmdjIC[[RD;U\\wrX?D\\cXJSv=ygRAg=EF>?SCsUvyURYtQAGVIc<QD:;B:;RLEdMCde?DR?>:5:\"\{\}<Drawing-Root>LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlIT0kRiotJS5CT1VORFNfSEVJR0hUR0YvLSUpQ0hJTERSRU5HNiI=</Drawing-Root></Image></Text-field></Table-Cell></Table-Row></Table>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L1" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;with(LinearAlgebra):</Text-field>
</Input>
</Group>
<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Number of darts</Text-field>
</Input>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">N := 10^2:</Text-field>
</Input>
</Group>
<Group labelreference="L43" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Generate N random points in the unit square.</Text-field>
</Input>
</Group>
<Group labelreference="L2" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">X := RandomVector(N, generator = 0 .. 1.0, outputoptions = [datatype = float[8]]);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCI1YVUpelZ1U3VZJT0=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y := RandomVector(N, generator = 0 .. 1.0, outputoptions = [datatype = float[8]]);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCI1JVwlKXpWdVN1WSU9</Equation></Text-field>
</Output>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Algorithm</Text-field></Title>
<Text-field style="Text" layout="Normal">This procedure tallies the number of darts that land within the circle.</Text-field>
<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pi_monte := proc (N, X, Y) 
local i, T; 
T := 0; 
for i to N do 
   if X[i]^2 + Y[i]^2 &lt; 1 then 
      T := T + 1; 
   end if 
end do; 
return T;
end proc;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Zio2JUkiTkc2IkkiWEdGJUkiWUdGJTYkSSJpR0YlSSJUR0YlRiVGJUMlPjglIiIhPyg4JCIiIkYxOSRJJXRydWVHJSpwcm90ZWN0ZWRHQCQyLCYqJCY5JTYjRjAiIiNGMSokJjkmRjtGPEYxRjE+Ri0sJkYtRjFGMUYxT0YtRiVGJUYl</Equation></Text-field>
</Output>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Results</Text-field></Title>
<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">T := pi_monte(N, X, Y);
valueOfPiSingle := 4.0*T/N;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiVEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSM4MUYnRjkvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRj1GOQ==">IiMiKQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEwdmFsdWVPZlBpU2luZ2xlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEjOj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRLDMuMjQwMDAwMDAwRidGOS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdGPUY5">JCIrKysrU0shIio=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L54" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Section>
</Worksheet>