<description/> <author>Константин Титов</author> <company/> <keywords/> <revisedBy>Titov</revisedBy> </userData> <identityInfo> <revision>10</revision> <documentID>f5bbcabe-024d-4532-944b-0072985beda9</documentID> <versionID>4a039f65-3e98-44ce-af0b-8875ca4354e1</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="14" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 2"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="bold" font-style="italic" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 3"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Paragraph"> <blockAttr margin-left="0" margin-right="0" text-indent="21" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="List"> <blockAttr margin-left="14.25" margin-right="0" text-indent="-14.25" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Indent"> <blockAttr margin-left="108" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="Arial" font-charset="0" font-size="10" font-weight="bold" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="italic" underline="false"/> <mathStyle name="User 5" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="current" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results> <general precision="4" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3" imaginary-value="i" zero-threshold="15"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.5" page-height="842.25"> <margins left="56.63622" right="16.97953" top="70.86614" bottom="70.86614"/> <header use-full-page-width="true"> <left>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fswiss\fprq2\fcharset204{\*\fname Arial;}Arial CYR;}{\f1\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\cf1\f0\fs16\{p\}\par \{f\}\cf0\f1\fs18\par } </left> </header> <footer use-full-page-width="false"> <left>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} \viewkind4\uc1\pard\f0\fs18\{d\}\par } </left> <center>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fswiss\fprq2\fcharset0 Arial;}{\f1\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\qc\cf1\lang1033\f0\fs18 Titov\cf0\lang1049\f1\par } </center> <right>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} \viewkind4\uc1\pard\qr\f0\fs18\{n\}\par } </right> </footer> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="EN" UI="EN"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC12" local-assignment="MC12"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="cm"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="946" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="188" left="48" top="29.25" width="432.75" height="197.25" align-x="48" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="14">1.2 Метод Адамса.</f> <f family="Arial Cyr" charset="204" size="12">Решить уравнение вида: </f> <region region-id="237" left="183.75" top="45.75" width="80.25" height="36.75" align-x="220.5" align-y="66.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:sequence> </ml:apply> </ml:apply> </math> <rendering item-idref="2"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> для заданных начальных</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> условий </inlineAttr> </f> <region region-id="238" left="96.75" top="83.25" width="9" height="17.25" align-x="100.5" align-y="94.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="3"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">, </inlineAttr> </f> <region region-id="239" left="112.5" top="83.25" width="52.5" height="17.25" align-x="144.75" align-y="94.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="4"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">,<sp count="2"/>численно методом конечных разностей. </f> </inlineAttr> <region region-id="194" left="393" top="83.25" width="51.75" height="17.25" align-x="428.25" align-y="94.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:lessOrEqual/> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve">b</ml:id> </ml:apply> </math> <rendering item-idref="5"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">Запишем формулу Адамса с четырьмя членами [2]: </f> </inlineAttr> <region region-id="189" left="48" top="114.75" width="235.5" height="33.75" align-x="81" align-y="134.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>5</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:real>12</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Δ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="6"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">,<sp count="44"/>(6)</f> </inlineAttr> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">где </f> </inlineAttr> <region region-id="190" left="68.25" top="155.25" width="75.75" height="17.25" align-x="81.75" align-y="166.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="7"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">, </f> </inlineAttr> <region region-id="191" left="150.75" top="154.5" width="109.5" height="18" align-x="193.5" align-y="166.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="8"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">, </inlineAttr> </f> <region region-id="192" left="267" top="149.25" width="146.25" height="23.25" align-x="319.5" align-y="166.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Δ</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="9"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">, </inlineAttr> </f> <region region-id="193" left="48" top="173.25" width="126.75" height="17.25" align-x="108" align-y="184.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:sequence xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X'</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:sequence> </math> <rendering item-idref="10"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">.</inlineAttr> </f> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">Формула Адамса дает возможность, зная </f> </inlineAttr> <region region-id="195" left="278.25" top="191.25" width="77.25" height="17.25" align-x="325.5" align-y="202.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:sequence xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:sequence> </math> <rendering item-idref="11"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">,<sp count="2"/>определить </f> </inlineAttr> <region region-id="196" left="431.25" top="191.25" width="26.25" height="17.25" align-x="443.25" align-y="202.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="12"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">.</f> </inlineAttr> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">Таким образом, зная </inlineAttr> </f> <region region-id="197" left="164.25" top="209.25" width="53.25" height="17.25" align-x="199.5" align-y="220.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:sequence xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real font="0">1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real font="0">2</ml:real> </ml:apply> </ml:sequence> </math> <rendering item-idref="13"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">,<sp count="2"/>мы можем определить </inlineAttr> </f> <region region-id="198" left="354" top="209.25" width="14.25" height="17.25" align-x="360" align-y="220.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>3</ml:real> </ml:apply> </math> <rendering item-idref="14"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12"> и далее </f> </inlineAttr> <region region-id="199" left="417" top="209.25" width="46.5" height="17.25" align-x="432.75" align-y="220.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:sequence xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:sequence> <ml:real>5</ml:real> <ml:id xml:space="preserve" font="1">...</ml:id> </ml:sequence> </ml:apply> </ml:sequence> </math> <rendering item-idref="15"/> </region> </text> </region> <region region-id="869" left="48" top="234" width="430.5" height="27.75" align-x="48" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12"> Моделирование алгоритма Адамса в системе MathCAD. </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">(</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">На примере задачи, решенной ниже.)</inlineAttr> </f> </text> </region> <region region-id="226" left="42" top="282.75" width="30.75" height="13.5" align-x="42" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Дано:</f> </text> </region> <region region-id="225" left="96" top="282" width="71.25" height="16.5" align-x="141.75" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">ψ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="332" left="210" top="282.75" width="33.75" height="17.25" align-x="227.25" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="331" left="258" top="282.75" width="39" height="17.25" align-x="280.5" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="903" left="312" top="274.5" width="112.5" height="33.75" align-x="327" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:minus/> <ml:real>0.9</ml:real> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>50</ml:real> </ml:apply> <ml:id xml:space="preserve">FRAME</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="942" left="462" top="282.75" width="38.25" height="15.75" align-x="475.5" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve">h</ml:id> <ml:real>0.1</ml:real> </ml:apply> </math> <rendering item-idref="20"/> </region> <region region-id="905" left="42" top="312.75" width="412.5" height="13.5" align-x="42" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Для проведения анимации необходимо убрать h:=0.1, заменив его на<sp count="2"/>h=0.1</f> </text> </region> <region region-id="935" left="48" top="354.75" width="32.25" height="15.75" align-x="63.75" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">b</ml:id> <ml:real>3</ml:real> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="932" left="210" top="345" width="96" height="35.25" align-x="228" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">K</ml:id> <ml:apply> <ml:id xml:space="preserve">floor</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">b</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="933" left="312" top="354.75" width="51" height="15.75" align-x="327.75" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">k</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="934" left="390" top="354.75" width="66" height="17.25" align-x="407.25" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="733" left="48" top="390.75" width="174" height="13.5" align-x="48" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Просмотр численного значения:</f> </text> </region> <region region-id="879" left="234" top="390.75" width="39" height="15.75" align-x="250.5" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">K</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="25"/> </region> <region region-id="731" left="294" top="390.75" width="36.75" height="15.75" align-x="308.25" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">b</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="737" left="48" top="423" width="450" height="72" align-x="48" align-y="450" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Вычисляем значение n-й производной: </f> <region region-id="251" left="261" top="423.75" width="114.75" height="44.25" align-x="309.75" align-y="450" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">Xn</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> <ml:degree> <ml:id xml:space="preserve">n</ml:id> </ml:degree> </ml:apply> </ml:apply> </math> <rendering item-idref="27"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> . В системе Maple достаточно предыдущей символьной записи, а в MathCAD - каждую производную надо записывать отдельно:</inlineAttr> </f> </text> </region> <region region-id="880" left="42" top="516.75" width="189" height="13.5" align-x="42" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Первая производная уже имеется:</f> </text> </region> <region region-id="886" left="258" top="516" width="97.5" height="16.5" align-x="308.25" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">X1</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="739" left="42" top="570.75" width="122.25" height="13.5" align-x="42" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Вторая производная:<sp count="2"/> </f> </text> </region> <region region-id="741" left="180" top="561" width="229.5" height="36.75" align-x="230.25" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">X2</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="742" left="42" top="606.75" width="120" height="13.5" align-x="42" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Третья производная:<sp count="2"/> </f> </text> </region> <region region-id="242" left="48" top="663.75" width="378.75" height="87" align-x="98.25" align-y="690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">X3</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> </ml:function> <ml:parens> <ml:apply> <ml:plus split="true"/> <ml:apply> <ml:plus/> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> <ml:degree> <ml:real>2</ml:real> </ml:degree> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:parens> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:lambda> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> <ml:degree> <ml:real>2</ml:real> </ml:degree> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="743" left="36" top="780.75" width="451.5" height="54" align-x="36" align-y="792" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Запись последующих производных в MathCAD становится обременительной. В </f> <f family="Arial Cyr" charset="204" size="12">Maple эту процедуру символьного дифференцирования выполняет сама система, </f> <f family="Arial Cyr" charset="204" size="12">что позволяет записывать производные практически любого порядка и вести </f> <f family="Arial Cyr" charset="204" size="12">далее с ними работу.</f> </text> </region> <region region-id="346" left="36" top="846.75" width="454.5" height="27" align-x="36" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Можно осуществить проверку<sp count="2"/>правильности </f> <f family="Arial Cyr" charset="204" size="12">вычислен</f> <f family="Arial Cyr" charset="204" size="12">ия производных для выбранных значений функции в отдельных точках:</f> </text> </region> <region region-id="744" left="36" top="882.75" width="83.25" height="17.25" align-x="96.75" align-y="894" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">X3</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="745" left="120" top="882.75" width="83.25" height="17.25" align-x="180.75" align-y="894" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">X2</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.99999999999999989</ml:real> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="748" left="36" top="906.75" width="351.75" height="13.5" align-x="36" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Вывод: вычисляет правильно, в том числе и для других функций.</f> </text> </region> <region region-id="262" left="36" top="936.75" width="122.25" height="13.5" align-x="36" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Введем обозначения </f> <f family="Arial Cyr" charset="204" size="12">:</f> </text> </region> <region region-id="274" left="168" top="936" width="87.75" height="18" align-x="196.5" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDFunction" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X1</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="275" left="264" top="936.75" width="92.25" height="17.25" align-x="292.5" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDFunction" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X2</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X2</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="276" left="360" top="936.75" width="92.25" height="17.25" align-x="388.5" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDFunction" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X3</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X3</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="755" left="36" top="972" width="307.5" height="14.25" align-x="36" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12"> Просмотр численных значений и проверка: </f> </text> </region> <region region-id="756" left="36" top="996.75" width="49.5" height="17.25" align-x="63" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X1</ml:id> <ml:real>0</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="757" left="102" top="996.75" width="49.5" height="17.25" align-x="129" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X2</ml:id> <ml:real>0</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.99999999999999989</ml:real> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> <region region-id="758" left="174" top="996.75" width="49.5" height="17.25" align-x="201" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X3</ml:id> <ml:real>0</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> <region region-id="370" left="36" top="1020" width="174" height="14.25" align-x="36" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12"> Проверка завершена успешно. </f> </text> </region> <region region-id="280" left="36" top="1044" width="468.75" height="36" align-x="36" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Используя разложение </f> <region region-id="281" left="168" top="1044.75" width="22.5" height="15.75" align-x="177" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </math> <rendering item-idref="39"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> в ряд Тейлора в окрестности точки </inlineAttr> </f> <region region-id="282" left="390" top="1044.75" width="9" height="17.25" align-x="393.75" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="40"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> и беря его первые</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">четыре члена, определим таким образом </inlineAttr> </f> <region region-id="283" left="267.75" top="1062.75" width="58.5" height="17.25" align-x="288.75" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="41"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="3"/>и<sp count="2"/> </inlineAttr> </f> <region region-id="284" left="349.5" top="1062.75" width="58.5" height="17.25" align-x="370.5" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="42"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> как </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">:</inlineAttr> </f> </text> </region> <region region-id="293" left="42" top="1085.25" width="191.25" height="39" align-x="64.5" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X1</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X2</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:real>6</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X3</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="292" left="252" top="1085.25" width="238.5" height="39" align-x="274.5" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X1</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X2</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:parens> <ml:real>3</ml:real> </ml:apply> <ml:real>6</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X3</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="889" left="36" top="1135.5" width="454.5" height="63.75" align-x="36" align-y="1146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Значения X</f> <f family="Arial Cyr" charset="204" size="12"> o </f> <f family="Arial Cyr" charset="204" size="12">, X</f> <f family="Arial Cyr" charset="204" size="12"> 1 </f> <f family="Arial Cyr" charset="204" size="12">, X</f> <f family="Arial Cyr" charset="204" size="12"> 2 </f> <f family="Arial Cyr" charset="204" size="12"> необходимы только вначале для запуска алгоритма Адамса.</f> <f family="Arial Cyr" charset="204" size="12">Вычисления последующих X</f> <f family="Arial Cyr" charset="204" size="12">k</f> <f family="Arial Cyr" charset="204" size="12">,<sp count="2"/> </f> <region region-id="888" left="210.75" top="1152.75" width="28.5" height="15.75" align-x="224.25" align-y="1164" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:greaterOrEqual/> <ml:id xml:space="preserve">k</ml:id> <ml:real>3</ml:real> </ml:apply> </math> <rendering item-idref="45"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> идет автоматически по рекуррентной формуле</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">через разности.</inlineAttr> </f> </text> </region> <region region-id="760" left="42" top="1200" width="175.5" height="14.25" align-x="42" align-y="1212" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12"> Проверка численных значений: </f> </text> </region> <region region-id="761" left="42" top="1230.75" width="64.5" height="17.25" align-x="63" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>1</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.405</ml:real> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <region region-id="762" left="114" top="1230.75" width="58.5" height="17.25" align-x="135" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.62</ml:real> </result> </ml:eval> </math> <rendering item-idref="47"/> </region> <region region-id="763" left="186" top="1230" width="105.75" height="18" align-x="242.25" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.2645</ml:real> </result> </ml:eval> </math> <rendering item-idref="48"/> </region> <region region-id="764" left="306" top="1230" width="99.75" height="18" align-x="362.25" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>4.716</ml:real> </result> </ml:eval> </math> <rendering item-idref="49"/> </region> <region region-id="766" left="42" top="1254.75" width="99" height="13.5" align-x="42" align-y="1266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Первые разности:</f> </text> </region> <region region-id="364" left="42" top="1284.75" width="48" height="15.75" align-x="57.75" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">k</ml:id> <ml:range> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="50"/> </region> <region region-id="357" left="108" top="1284" width="193.5" height="18" align-x="156" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX1</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="51"/> </region> <region region-id="361" left="312" top="1284" width="52.5" height="56.25" align-x="330.75" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX1</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="2" cols="1"> <ml:real>1.2645</ml:real> <ml:real>3.4515000000000002</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <table item-idref="52"/> </resultFormat> </math> <rendering item-idref="53"/> </region> <region region-id="767" left="48" top="1350.75" width="97.5" height="13.5" align-x="48" align-y="1362" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Вторые разности:</f> </text> </region> <region region-id="385" left="48" top="1380.75" width="32.25" height="15.75" align-x="63.75" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:define> </math> <rendering item-idref="54"/> </region> <region region-id="374" left="114" top="1380" width="150" height="18" align-x="162" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Δ2X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX1</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX1</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="55"/> </region> <region region-id="375" left="282" top="1380" width="90" height="18" align-x="328.5" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Δ2X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.1870000000000003</ml:real> </result> </ml:eval> </math> <rendering item-idref="56"/> </region> <region region-id="371" left="42" top="1410" width="174" height="14.25" align-x="42" align-y="1422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12"> Проверка завершена успешно. </f> </text> </region> <region region-id="294" left="42" top="1440.75" width="417.75" height="27" align-x="42" align-y="1452" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Далее все последующие значения "х" будем вычислять по формуле Адамса,</f> <f family="Arial Cyr" charset="204" size="12">имеющей вид:</f> </text> </region> <region region-id="426" left="48" top="1488.75" width="51" height="15.75" align-x="63.75" align-y="1500" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">k</ml:id> <ml:range> <ml:real>2</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="57"/> </region> <region region-id="425" left="126" top="1480.5" width="366.75" height="33.75" align-x="160.5" align-y="1500" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>23</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:real>12</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>4</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>5</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:real>12</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="58"/> </region> <region region-id="892" left="48" top="1524.75" width="423.75" height="13.5" align-x="48" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Результаты вычислений представим в виде вектора X и графически на рис. 3</f> </text> </region> <region region-id="908" left="48" top="1554.75" width="210" height="21.75" align-x="70.5" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:transpose/> <ml:id xml:space="preserve">X</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="1" cols="5"> <ml:real>1</ml:real> <ml:real>1.405</ml:real> <ml:real>2.62</ml:real> <ml:real>9.2376999999999985</ml:real> <ml:real>47.077275249999992</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="59"/> </region> <region region-id="893" left="120" top="1602.75" width="48" height="15.75" align-x="132.75" align-y="1614" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="60"/> </region> <region region-id="894" left="210" top="1602.75" width="51.75" height="17.25" align-x="239.25" align-y="1614" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">XX</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="61"/> </region> <region region-id="914" left="60" top="1638.75" width="360.75" height="27" align-x="60" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Точное решение дифференциального уравнения - опция Odesolve</f> <f family="Arial Cyr" charset="204" size="12">Внимание. Все имена должны быть уникальными! </f> </text> </region> <region region-id="915" left="72" top="1692.75" width="80.25" height="15.75" align-x="120.75" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">F</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t1</ml:id> <ml:id xml:space="preserve">Y</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">Y</ml:id> <ml:id xml:space="preserve">t1</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="62"/> </region> <region region-id="916" left="216" top="1692.75" width="36.75" height="17.25" align-x="234" align-y="1704" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">t0</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="63"/> </region> <region region-id="917" left="276" top="1692.75" width="47.25" height="17.25" align-x="299.25" align-y="1704" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Y0</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="64"/> </region> <region region-id="918" left="366" top="1692.75" width="39" height="15.75" align-x="382.5" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:provenance expr-id="1"> <originRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">d37a9109e6b3927b57ec936ee8eddf12</contentHash> <ml:id xml:space="preserve">t0</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="65"> <element-image-map> <box left="1.5" top="0.75" width="8.25" height="14.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="919" left="450" top="1692.75" width="44.25" height="15.75" align-x="471.75" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Y0</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="66"/> </region> <region region-id="920" left="48" top="1730.25" width="169.5" height="12" align-x="48" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Enter the desired solution parameters: </text> </region> <region region-id="921" left="78" top="1752.75" width="36" height="15.75" align-x="96.75" align-y="1764" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">tk</ml:id> <ml:id xml:space="preserve">b</ml:id> </ml:define> </math> <rendering item-idref="67"/> </region> <region region-id="941" left="162" top="1752.75" width="36.75" height="15.75" align-x="176.25" align-y="1764" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:provenance expr-id="1"> <originRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">c95ed2ec632c49216273a3314466dd3f</contentHash> <ml:id xml:space="preserve">b</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="68"> <element-image-map> <box left="1.5" top="0.75" width="6" height="14.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="922" left="246" top="1754.25" width="156.75" height="12" align-x="246" align-y="1764" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Endpoint of solution interval </text> </region> <region region-id="924" left="78" top="1783.5" width="63.75" height="21" align-x="96" align-y="1800" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math20"> <originRef doc-id="80325e86-82eb-432b-b9c7-5d2b8da183d8" version-id="bc9695bb-f4ce-4167-8d44-a7da41755401" branch-id="00000000-0000-0000-0000-000000000000" revision-num="26" is-modified="false" region-id="0" href="C:\Program Files\Mathsoft\Mathcad 13\qsheet\calculus_des\odeqs1.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10">Solving a first-order ODE initial value problem using various built-in functions</originComment> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">8113e4bb52d4f862dfe5eff0315bf6eb</contentHash> <ml:define warning="WarnRedefinedBIUnit"> <ml:id xml:space="preserve">N</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="69"> <element-image-map> <box left="1.5" top="0.75" width="62.25" height="19.5" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="925" left="162" top="1790.25" width="196.5" height="12" align-x="162" align-y="1800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Number of solution values on [t0, t1] </text> </region> <region region-id="926" left="54" top="1818.75" width="30" height="15.75" align-x="68.25" align-y="1830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math20"> <originRef doc-id="80325e86-82eb-432b-b9c7-5d2b8da183d8" version-id="bc9695bb-f4ce-4167-8d44-a7da41755401" branch-id="00000000-0000-0000-0000-000000000000" revision-num="26" is-modified="false" region-id="0" href="C:\Program Files\Mathsoft\Mathcad 13\qsheet\calculus_des\odeqs1.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10">Solving a first-order ODE initial value problem using various built-in functions</originComment> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">21546c5319a511f4b5452a7b23aab828</contentHash> <ml:id xml:space="preserve">Given</ml:id> </ml:provenance> </math> <rendering item-idref="70"> <element-image-map> <box left="1.5" top="0.75" width="28.5" height="14.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="927" left="60" top="1842.75" width="105" height="15.75" align-x="96.75" align-y="1854" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">Y'</ml:id> <ml:id xml:space="preserve">t1</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:sequence> <ml:id xml:space="preserve">t1</ml:id> <ml:apply> <ml:id xml:space="preserve">Y</ml:id> <ml:id xml:space="preserve">t1</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </math> <rendering item-idref="71"/> </region> <region region-id="940" left="174" top="1842.75" width="59.25" height="15.75" align-x="209.25" align-y="1854" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">Y</ml:id> <ml:id xml:space="preserve">t0</ml:id> </ml:apply> <ml:id xml:space="preserve">Y0</ml:id> </ml:apply> </math> <rendering item-idref="72"/> </region> <region region-id="929" left="252" top="1842.75" width="105.75" height="15.75" align-x="269.25" align-y="1854" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Y</ml:id> <ml:apply> <ml:Odesolve method="fixed"/> <ml:sequence> <ml:id xml:space="preserve">t1</ml:id> <ml:id xml:space="preserve">tk</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="73"/> </region> <region region-id="829" left="66" top="1896" width="210" height="171.75" align-x="66" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="74"/> <rendering item-idref="75"/> </region> <region region-id="945" left="312" top="1932.75" width="45" height="15.75" align-x="325.5" align-y="1944" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.9</ml:real> </result> </ml:eval> </math> <rendering item-idref="76"/> </region> <region region-id="946" left="312" top="1968.75" width="39" height="15.75" align-x="328.5" align-y="1980" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">K</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="77"/> </region> <region region-id="944" left="156" top="2094.75" width="205.5" height="13.5" align-x="156" align-y="2106" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Рис. 3. (40 кадров)</f> </text> </region> <region region-id="896" left="30" top="2122.5" width="472.5" height="88.5" align-x="30" align-y="2136" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12"> Задание </f> <f family="Arial Cyr" charset="204" size="12">. 1) Решить уравнение x''(t)=-t</f> <f family="Arial Cyr" charset="204" size="12"> 2 </f> <f family="Arial Cyr" charset="204" size="12">*x(t), преобразовав его к виду </f> <region region-id="897" left="30" top="2139.75" width="131.25" height="44.25" align-x="97.5" align-y="2166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:neg/> <ml:apply> <ml:integral auto-algorithm="true"/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">t</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>0</ml:real> <ml:id xml:space="preserve">t</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="78"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>методом припасовывания при условии х(0)=1, x'(0)=0.</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">2) Решить уравнение x'(t)=t*x(t) при условии х(0)=1 методом Адамса.</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">3) </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">Решить уравнение x'=cos(x) при условии х(0)=0 методом Адамса.</f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> </text> </region> </regions> <binaryContent> <item item-id="1" content-encoding="gzip">H4sIAAAAAAAA/4yNvQ6CQBCEdzlQwd/GGhMbj9InsCBWJj6CnvifEA1SWPrm5+yCvUf2GGa/ GQZExBiHSVQb3OPjcnep3PO6Oz+q0tURyZljYrVzVzu1aIHplcX2cD8VdWPtmxcFM1ym7Z9K q2r5Stz79lprtVE2w2y4ZZvj8RBn/7u/8m5dueK0zANd2RZMeUJs2Ytitlj6lAO2BtGUDdvQ ixOCIQ8RgfmssOoII6muMhA9YQSOpUfiCRiN98FofABG40P9F8RIGYixMAJ/AQAA//8DAMuS Xhh8AQAA</item> <item item-id="2">iVBORw0KGgoAAAANSUhEUgAAAGsAAAAxCAYAAADdqledAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALWSURBVHhe7ZnttaQgDECnLguyHqux GYthIagJ4XtFgfNyz+HHuPNmklwScfanhGkQWRMhsiZCZE2EyJoIkTURImsiRNZEiKyJSMs6 NrX8fmrdz9dCV+Ky9lX9tCizRNYYSGdNhMiaCE/WvtrRR5fIGgNHFohaNnXQ1yJrGFAWjLxF bZcpg4zBobhlHduiu2hVjheRNRTYWXBUl84aGXLP2tWqxTjd1VyW+Q7WvUDs+gy8EXv4M50D Bgrz12Nh0LmJpEL3zNHJ5fSEQD2YrLcI7ZRDbQvbBBDgS8k3pzCnJ7B6fCLLPAIsXsvYLuaJ wUGn3dxNEno0Md/PX3v3ck1NTk+g9Xgoy+4kOypNQtcYpcmZazzZ633XIju0sLvwb9MrB3+2 dGWd+XnVr8wpSEntNKQeTToL7J8J7ysLMjbXIYjQLrRB53YnFiW9ctjOwfhcWTYWr4Oqc4qT rB2A9Wg0BnGX8EB5MW4ysvwR8xKs8I6sSIz1OaWI186C9WgkSwOB8tHwP4n1kIVxO7LYv120 laWJ1M4SkEVHR2756A/UrbyHkhh8DPLvo7KiUhqOwWTtAIyvQWeZNsYvgRu2E635ssCuiSUG 10NBu4TEhFYJVMotK1n4ypyi5GqnIfV4KIvN2zNYKBQ5YYWPufi3dEdB4cqzbQeNHVZsLFlq crJy+bWy2tF6NOisEiI70cO8jyb0PXdnZSnNCTm2ter9vB4fydLAzkklZ3dfj6ailMvSZHOi uCMvj1+P72QBsc6JXf+eKllASexGVE0Xhj/zY1nCE9Kyzpte79EkWOKy4FmCnFaE7lR0lj1q irh+VMjyTyfCt3iy4Cn6HH84Bq0ovDbGye2v4cgCUeyXBytLv5DDRndQVugBjwoSWd25ZcFv UHy8iayhwM4K/d+NyBoKcs+6DhGku0TWUDgHDBTmr3WP/fwvfAWTJYyMyJoIkTURImsiRNY0 KPUP6JgTgKdh3dQAAAAASUVORK5CYII=</item> <item item-id="3">iVBORw0KGgoAAAANSUhEUgAAAAwAAAAXCAYAAAA/ZK6/AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACJSURBVDhP7ZDRDYAgDAU7VwfqPEzD Mg7zbKEoQgCNP354iYltufQB4SG/cIdK2BCYINHLAZUQIXRbyIfp+EQ7Rt6aehy0qjdsAdxs iELgYMdszCAdjoVUl02GpZCJEHXoMTIez6tOKBFOXguloVJ6pWWklvbSXo8FpX1W+58Kl5h+ n4XQ8zkB2AHAOd6GMdUv6QAAAABJRU5ErkJggg==</item> <item item-id="4">iVBORw0KGgoAAAANSUhEUgAAAEYAAAAXCAYAAAC2/DnWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAG5SURBVFhH7ZiBjcMgDEWZi4GYh2lY hmF8YJKGgE0wISk69UuR0gYc/4ftnk7BT6SGwXhrwW33Mjmw1m/362oIjLca9A1zd/e/ITkY b8FMMOWtgZXZCMF4sNoMtlApB0bbEHFNycCEatFmDpYEWS9bNSIws2fDyrNGACaesAK6YFrP GnIG1KLtJAATZoLiSj8+GwSjZs2sudrApBNXwZxC88louk8rcL6QYPa1+7UbzWJyVcHGPHTE bV+8OrwRuZ4ixp7fHzhTnGTLBD47V4wz6jM/MC5VTq+ASWp5o3ItIh7kKh9Y9p1g8HP+8nhK RMsQQJ8T443JtUbNnSL3fVRpsBqqKakKQCvmE6Lex+RagAm0wiIXy6k8YQGYunXGweTt0rqu RXvjcs0ixi+ODbHvzhvS0KrMRd0CQ7RYJgoCdbXFe7sAs30IL8A1m1F86afMGHOoYz+eRm8r Veue0IW3vlZqK9Lt+ku1rASmMrrjPSkmVxEY3NR5wuVPIAXAmRcHb0NUrjIwWGb1ydPK2ovs vzQMF+ASVOcqBBMUqub3/xhGt01NgvukhsCk0hucD4I59U0NgvnvAvgDs6sAxZ7iFesAAAAA SUVORK5CYII=</item> <item item-id="5">iVBORw0KGgoAAAANSUhEUgAAAEUAAAAXCAYAAABdy4LVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFRSURBVFhH7ZXREcMgCECdy4Gcx2my TIaxoNgYJREx17u2vrt8yNlAHmhNWDQsKQxLCsOSwrCkMPyvlN0Ha0xwG60LPiZl9zYYroKH EeUhIaYvZQ/e8ptmiEViAaIX62sYywPIJmUL7mKThs2lTli/U0TCeA26PEBfSiommo6PgwiS Ohdj1sOqx7F/XO5VDRwzeYi3lOIbjQ3o9pgUxhx2IXdAdFY3Ry9XFnvTvROzeRDKlUUgaerg 3WkJ1AXFddkt7ORd986oxloqpeDZ40PTSqt2E3bjdGR0l2C+AEVFK6RkhvIgGintcdFJyYiO 34SUjCgPwuWKMfg9LZtNT0sR8YAUMU0uunAhcEjJQdgYb37F8ckjfPl0v7aqgaI183kS9Xvy 0SukVESTRWH1+oe5lgLUf8nDN/yXcisFVBzjLBzJX6Aj5T9ZUhiWFIYlpSGEFySyM+tdzXrP AAAAAElFTkSuQmCC</item> <item item-id="6">iVBORw0KGgoAAAANSUhEUgAAAToAAAAtCAYAAAA+5qfLAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAVxSURBVHhe7ZyBsasgEEVTVwqyHhv4 bdhMivGzgIKAusiCyrtnhpmYl4Tdu3AFY95nBgCAzoHRAQC6B0YHAOgeGB0AoHtgdACA7oHR gQpM8/D5zMNkD8F1fuP8VVp+lnYqKrRPAaMDwpiJRpMSk62c3/h1JneqKbTfA0YH5LGrEEy2 UpRx5YrYSvtpcAb8gkLD6IA8MDoZPDNha9lCe+pj6cD29x1/5vihwOiAPOtk+83j9z1n/Wfh abc0joYNtP9Nk4rOobfX33Hz3NOA0QF57GT7fL6zPtHrlYl9DC7gTOvUs+7QnvqA0YE/x7qq 8I9hdKVMA2N1doP2tKLD1hX8PZKTjbEaAcfQyskX0eqaeq6d9tM8PHw1R8DogDwwujooozvV sLH20zAoq3s+MDogD4xOHtKQs3JqqD1tWd9SUxgdEMbdtKovgk9moq3HuE7HwxqU0U011vaw ofZqdbm5LsdZbd7IanT6QucqCrVlSeqLp9pLT8vPzM/0ze0yKwe6nrP+/a1M85iYnX9PhztI a0+Ev9Ywbavx02q0XdGtZ5GwU/p6u4Oz8aPycwXP8lZuDh1M8MP7s/6QDncgcm/cg2oUb11t cP6y9E178VOq5kcFzCiYjSW7b04O9Jrib8My8xGF+j45ETTToZQ7dbwCQ3suD6lR8hodBbLu 6ZXb+kH2QL38Ghmd4jyH/a0HnxsnqMppvbv/QKA2OpTyMqNjas/lCTXa+TLCJqkmYTrRvGtL u+iJbgU4QMfBaHxq5Zc5oFejO4snRc57GuUjhut3M0mStNAhgDluHXfpeIUc7bk0rpEyU92X 19+BO5gO48Bc0DLB3GF0RI38Mge0NTr/bJc3sPZy8GmYjxRKl2EVweR4vOqurYNHxrh13KTj FbK159KoRjSnljfb+UXxH6zoVGFsUeNOTUBFA0ZDyUucMXKRyy/+diloRx9iC7G+RB9z9TjL wadNPsnXB41DeBOqiWnPKOrocMz5uK2t45XGIU97Lu1qtPcPB5LZT4MrYjpRPxjr1NTCC4oq seOA7zE6sfwibEHt0SlJo4uPU5PiPAefRvnkkspPPedWFJZQF482OoTkjtvKOl5BQHsu99TI Quaq3hsZHTngNinb2eZJP5htIhuEjE4nymgcRPOLyBzQ4SBiDipeDj6N8hEgHZuJPxzs7XQI 4Y1bR3sdr5CjPZf7amSg/qOtKz2ZCkA/r4Jze/UlmG1QEQ8zOvH8Iuj1dY2On4NPo3yKUeNh Lzi97XFjpa0OIT0aHV97LvfWiFA5WYO27mA+lDrXzfv0Jai16Tf6r98W0CxNd1oUde6AuYpc fsfQ+7ivp9yXPpQGpz/Xyc3Bp0U+5UR5pNrwr4oOdcdtWx2vwNOem0GdsZpXI3q9ez9vvxdh gqHP1p3vCSC0omsPM7/X0Fs+V5HS4anjtgdkakSG6r+12OhM0ZfHAR0Y3WF+r6G3fK4ipcNT x20PCNRI+c5mW0xbb/swC+20KgCzxTKB6eNwGXpkdPZ61LL0vDbg6sDO7yW0z8cMUNPnc2or osNt49bGm4z1mXpfobRG6S34RaMDYB8anO7ayDLw3jz57sczsmjCQ28OMDogyzSqM7F9rLFn Zcy8YrSJhUYHvVnA6EB19HYEE6+YpNElgN4xMDpQGbPCwLwrh2d00DsFjA7UhS7eMy8kg2NY Rge9k8DoQFVKf8IDHByjg95pYHSgGjQxsYWS48zooPc+MDpQh/CmTbWlGjEJizg0Ouh9CIwO yEN3oi/3fa3t2b/1fAP629SU0UHvU2B0QBS96ogmnWrYUxWw/eWD+dWA+Qv05gGjAwB0D4wO ANA9MDoAQPfA6AAA3QOjAwB0zjz/BzEu6+aHh1VZAAAAAElFTkSuQmCC</item> <item item-id="7">iVBORw0KGgoAAAANSUhEUgAAAGUAAAAXCAYAAAASloEFAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGgSURBVGhD7ZYNEsQQDIWdy4Gcx2lc poexfqKirGqppjO+mcxs127l5RGYXpBjmUKQZQpBlikEWaYQ5GCK0oIxLRQ8TkAJppmZM4Yw WbgRl8v+/cykOhihB5kS/zRd/yY1d3MHAYFNS8613ODxK3TqSXcKvOyVRQlzc5TxJvk7uYyg Qw8dUww2acZgJSmRCPoid/X8McVus4beZ8cbop2zeQedeU7njLZ4T0/RFOzu/rkALnwtrgFn WyYiCuwyxWmy75lhiuW6nnr7mraiAjZRczhC4fLieyFdpjhsoeq68lvUIZqSuKenwZQRRWhD iVgoX5TS7SXkAyvQBpdmBGGKUM/53JQR3NbjxgIXTdlXzUm0kN9MSts+XVlYdAIBU3r0kDDF 3VIKk/jbC75WBhGpmIyXTenVgyqGto9NWHlD9udHBPhk/BwmkJAgYA/XovDv01ZQPQOyAj1l yhg9bb2FDHFFOROyYgNEzpRzyno+a4ovbNzyCR80Bev5lCmxRdmCoq1/5fYF52RoI3XznuWv HhhfEGKZQpBlCkGWKeTQ+gdTjoAmfZz/7QAAAABJRU5ErkJggg==</item> <item item-id="8">iVBORw0KGgoAAAANSUhEUgAAAJIAAAAYCAYAAAARUKQwAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAITSURBVGhD7ZeNsYMgEISpy4KoxwbS hs1YDI/jUCD8iOEQfHPfDDNJ1LDLrScKxTAEcJAYEjhIDAkcJIYEDhJDAgeJIaEQpE2t624/ OzYplBD+kPpMc0RJ/3epf92kd/x9zOx1Nm3ZIO3rosSyqjhKmn1VSyD+YFfrsqgzfy8PkmFm rxNpywQJhGCiIdBJrInF61oQvuB8OCcXxjcxs9dJtKWDpBMsNxumbJJQsBA2+foa3wySfjy+ kZm9zqAtESQIELbBQGAS17lKgUPw2X152hXmDixpQs49wsWoZ4DXasbXIV5JfYI8q4STxgn3 sZu7ojJntMmAedbD/4wIEvCg19uMrUO0kpsMN2X4dpDbqIEwfcz+cVkcmmhfXFiw6yDR08dr /Pb1NaoWbHwdwiAF3chiWlh64k26PyoHDvAN2LsHxu1N4JggjfFaxwx1CILkC3LgxN8TRW8G h6hU4gzhnZCeq4a6IJnFqRg1jPN6zSx18FZSH8hNblqmu8hswhPn4uY8t6c6DIRG7vNskMZ6 LTNTHc6VPCYvDvkxk7vvTkV0fdQqUTgeD1tvcZ8QOa0LUju+3lBHi1ca+mhrqUNdbycBDYAe IzgSVstTQWqBymsP+tRhSJBQxK9t9V1BavPagz51eCxIrm3C5GjGfL/ztmDfII92O09xQki8 dqJXHR7sSMx/hoPEkMBBYkjgIDEEKPUHCtDVRMmGH90AAAAASUVORK5CYII=</item> <item item-id="9">iVBORw0KGgoAAAANSUhEUgAAAMMAAAAfCAYAAABag3n+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALQSURBVHhe7ZqJkYUgEESNy4CIxwQ2 DZIxGJaB8UBAEPHA36+KqtXShWmmOeR3CgBggBkAYGAGABiYAQCm3AxSqK7rbBGSbwLQLmVm GAfVTwagv7Uh+mG01wA0SpEZRinVOvXHoVddPzj3AGiNOnsGWjLBDKBxqpiBZgYsk0DrVDCD VAKzAvgAp80ghdB2AKB9TpmBlkf4qgq+QrkZ9KbZ2SfoaxgDtMyOGaQaIpti8yl1OnCbS3y5 JEXsWb3fWN8nN5nDvC8tvcI6/pYmbWgQNUP1swM+nPMDGtXQ92rW6mNm2NXxRzRpRYOIGagh 1pVVlz6B02pv30HPfObrVIaOn9ekHQ3CZtAuFJKDiEZQhhklOna8rsc/n4gvz5ojU8dPa9KQ BgEzUMPtdOQ0sBrLSJE2ml07nvKjFtbUlVHf/Fyi5HFEx5s1IcxoXLtvt7xYg0Be+D2rRRJz i22lvkvPwhuk3WgWcYqDpg6fXg5MxVtmcRIli8M63qQJMSfCxWZ4qwaRvPB6dnuIZnf8NTcu PFpwh+wHZAMvDfrJHxQe0/E+TRYo8fbN4H/t2ZREI96qQSwvXDM4TmbYOYcq5ndCYkmxdEDa aOugedSgUprQJPQdZjio4zOapM1wiiY0YDgvHDOsG7RgK66RRORAVwgOJKSOwR0Bwu3Lh+q/ Y5l0RMfnNLnWDG1oYJnyYtWzugGxys3Udb7CUHDmvg48nKRT0G7wZej4EobeJn2s7JOv47Oa XGmGVjQglryYe3aqfLcU1WobHPofXp1esq7fdafN3fVsoJ13/aAwT8e/F2hynRna0cDNi/Sc /yiL802QgWByIHELX30hdTS50gzXc01eNGMG23kFU6Kelp2pVl8XavcSKmhi+IYZaubFq82w THnUaVYAc51Y+0+Ep+t7lktXcVYTw/S1j0trg8NVefHymQGA+4AZAGBgBgAYmAEAg1L/Basz kn9DLxQAAAAASUVORK5CYII=</item> <item item-id="10">iVBORw0KGgoAAAANSUhEUgAAAKkAAAAXCAYAAABwFW8qAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAK7SURBVGhD7ZoJEoMgDEU9lwfyPJzG y3gYSgA1yhaW1FJ5M8x0tJCfb1jsdJKDwY/zmiLdhJCr/ZzHKoXY7OcBhdZev6JINzHLuaLQ avu/CQ6v/79INyGXBgW2iUWOOk3A5PWfF+kmxbwUbj13VrnMQo048MPn9VGk6zLJacJtD6g6 4OtLGxm5FOlTM3tuphcewpy1mmZpXhd0//tUa2X0+rqSQqCLwJ38B8RCpr7WZ8mi8aiaHy5S TYVWTq/d7d4KxQGhQ7NJUgtZHxg7BXTH7kWAh1Oy5VM0w3d+4ThRpJXXa++ZFERNk5056stY 8C9A0wfblLu6GswWVmRc4WqX1vw7P3Xla+X1OvDiZKr/OIM45AU+zznxRielT6FXBJ9xRvsZ F4wg5hMckwJB80EH/mKYvY4otwGc0c4EnjMRCOmzxApK39v1Z+RTVaRAQrOmE38xzF4HlMNg qur1kusb0ASjmtielD6FvkcxDiDm4/TLgaD5oAN/Mcxee4t0Xc6A5qcJWKYxOJCdcdC+dPBP 61OgmegQNS6ST2zMBCTNBx34i2H22ilS501uH+hy8TobcFI+tAhCo0DTpyg2LpJPbMwIZM0H HfiLYfb6oly/1XnE6Osq0PmWtwe6BgxxNyvUUtD1AcZcr7agcYl8dL/EqnIjT/NOD/5ieL22 yk2HIyHUcxd4NL0s4+/nPbQycvXpOxET7vqJ+cDZy7vl2tXm0rdE8w5RTzNqtAKmP5fXtD3A 4RSlzyx+dY8DBodnP4aWT2q8dn9C6cNfDKfX1UWqQoWX+qeBLcM78+/Q8omfDWGMVqteJ/5i GL0uKlLzxgcNBjJBw1vBk9AKh5aPMjSYH/SJFXAe/fiL4fO6cCXtCDXDx/9JvwST1/9fpIrq Amtk/hvg8PoVRaoyL9+OyWetgaG91y8p0kG/SPkBF7A6gbrZwXIAAAAASUVORK5CYII=</item> <item item-id="11">iVBORw0KGgoAAAANSUhEUgAAAGcAAAAXCAYAAAAWY1E4AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHHSURBVGhD7ZfZEcMgDESpi4Koh2po xsUQhEQAg0/ZMh+8GWYSYryLdZgoPxmWGZyBmcEZmBmcgZnBGZh/cJxRXqlyGO/wF2/KeYOz d5HS4TKCz7pyFut1ZSSxeKu1twt95SKlw+Vjn21bI0O6UF6s9o8niJQOlw99dt85IK4UZYYz lbEnkdLh8pXPjQMBlO1eT8W+y88eIZ2Y/Zw2JOAzBH39HtsIDkAvvkYxG2U/tMjLOv9Nc98R L/qE5EmLiza6UznhJUgba0XREOuhRaR04MFyK+c9n4tz4Q6Z2Ea17QfHmbwRPFL2TivJDGUU jHDDK/uX0sG194Mj55OAJOgFpz2JkFg1WWdKaf4sUjrI/eDI+kRAs2lrsZxqJ5E4HwzlU0oy U5s6i5RO5l5w5H0CwStVHAUHbxpLcZUVych/xIXl9esST1CGVb8/p9P+gy9G83T2gjOST7g+ r984EByBZuDeUbwjklisYZT4eZ19jitnBJ8Q+HIpOzi48a1ShuvqTLrGWZ0jjoIzgM9wCMht MgCHAvp4iVyqsGE0Fr9Tr0Rg/nqfLzmncwD9b8D79B7a9z6bVhnHzeBMZJjBGZgZnIGZwRkW 73+AvQ8QYFA9agAAAABJRU5ErkJggg==</item> <item item-id="12">iVBORw0KGgoAAAANSUhEUgAAACMAAAAXCAYAAACBMvbiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEHSURBVEhL7ZXdEYQgDISpKwVRD9XQ DMVEIPwkA4gnw40P7AwPp2g+dhNP4Yd0YEY6MCMVGKsVKsWXRkt3UPPrmq7ukHTGGQQBkuXQ AKBx6ecmtTElIGCVnQHcaEhRt2dCcaWSE1YLsJ0aNHCI5a5HqI+W3Yop1PgHMEGpcZuKFXQJ xjtOQzGFCQV9E6cH2qIEtOxMPPAExuq6gUa+N10Zho0+GH+HyR/mHngC005OLy7pDIcXWoGJ U9R5mqaLj3uGmcT1DoZeSg0lXcggZcUo+H4ZYfslZ6shm8T0TNWRWHx0/NWeeSYeD/VUt+g/ YGoU4UUssl+mqfwP0gr7XjqzRwdmpA/BIF5x/YHLpthOlAAAAABJRU5ErkJggg==</item> <item item-id="13">iVBORw0KGgoAAAANSUhEUgAAAEcAAAAXCAYAAABZPlLoAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGdSURBVFhH7ZbrsYQgDIWpi4Koh2po hmK4CUQBgfDyx3WHb4aZFSVHDklc4Q5NjjkMxxyGYw7DMYfhNsco4YRIh3Im3HEqnVdhdpUv 6eSZY7WTWaAL67SUTlu63OUjOmVZUUCZrLRaus2DLPmATrXn4GIhyFmjssBv8t91Gg0Z065X k8kzUsPVCiM6gD/9nXIb0AHT/P3kmYY5CDWuRjBseNcJ+JPhNsfC68SX3jEHYXTQ/Gs+KUMm c6CJ0YsV8XyAtMmh8LPpjdDRucH4u5nT1rHGwBMRf9hQDVVzjIovEj6Jj42jSFZKIW3bm6vT 1bnZM2dch6D9Feaga/kmy3Qsy2jenBGdyLo5czoBXFOUVbnpgJ+HgO0eM2fOqE5kzZx5HQS0 qCrInLA5XOBHEvAKdA9cOFRWdEJZCk/q0D3enDd1IJqKcRoNucOzIRcNOmK1Wu4VkX7mvKGD xqUHvGYO8PyU11MUT7Bu2hw9c17QgWrI9oDVQT8XSFI3rycC76810Qz633GVQSm1r1OUmh9b 5vw+xxyGYw7DMaeJc39xBGN+HT/kCwAAAABJRU5ErkJggg==</item> <item item-id="14">iVBORw0KGgoAAAANSUhEUgAAABMAAAAXCAYAAADpwXTaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADKSURBVDhP7ZPbEQMhCEWpi4Ksx2ps xmKIRFRQMbMZ/5I748f6ODwuC3RRf9hzdVgKQAB6BUr1hILeD3V3J5tZjoQG1JQpIlLM8ulo LVOAqF7miHRIqGvbM34MIJmkYMAnOQZwWR96VILMfXRgLGn8FlbO+n69x5+HzIoJEn3h5Vxu DPEkuLAUhnN1ZGZ3h979lWgLbHXOK3ftq4HpKFrVXTsuXWqUBKaiTFk0UF8YTb9YLQnHgIdi o+7Axq/2FcyWPpy/U6boJ2BEL8ddKdfNVKOiAAAAAElFTkSuQmCC</item> <item item-id="15">iVBORw0KGgoAAAANSUhEUgAAAD4AAAAXCAYAAABTYvy6AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFeSURBVFhH7ZaBEYMgDEWZi4FYoh0i 07AMw6QggYKCIEGvp3133FXRSz75SRX4UP7Cn8Zf+NOIwrUSKES6FGq/gyq9r/zdUa6K0yKv uAGUWTIBgyAlgqFLLlfF2WFrdUpKJtENSJxegKviVCj2uEtACDp5rbLkZnJVnBKV4eYs19tr rjdH7dkXxx8QPSfBvsWnItxBw6Yh3A8rTl+24tj9E/y/U3E7eKz93CnXc1J2j1vxRhwNjEOt UxSu1VeIr+h6+jpCJcaFt+MkrTDJ4oGN8O1kLVtRq5DkmPDeOAF+S+VkwpchUggchkucuovF /c8R4d1xVtTeG4GEJ5ZanXpIJi75xlf6bLLynKiCmX2PxClY2/33nz/Ve9mvuAE1zZ6L8LkV 57AnnKY2XXFJhyGXE4U70cxE4ze9X+ViU0sVW4BaK+59rycI/w0MwCFn3UC4r+LR7/zbVPwo DxWO+AHnu800XXEzNwAAAABJRU5ErkJggg==</item> <item item-id="16">iVBORw0KGgoAAAANSUhEUgAAAF8AAAAWCAYAAACmG0BRAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHvSURBVGhD7ZaLjcMgDIaZKwOxx22Q abJMhuFi87J5xSS03El8UiolBfv3j51WmcU0lvkTWeZPZJk/kWX+RJb5Exls/mG00tdnP4dW Ril6+TgQkzzXP49zjECu817hOPMPTYQ85NzNxgrynGbfNrOf/hbWkftvI9V5wyDzSx0PQpQR NADHFbaRCs59y+PgupeH/QapzozoSzDfjxPdnAaDe1XoONhLRVjsGN6LyWF5ronKY1tw3W0C W+zrqSwg1cmJvrDOxwPY9kuuhZvvisiKhWDpgSTvv+7CvWGlfITZ3S/VGUh8cU8Re5KxGG6+ 3Zidbu1d78ZSpKmIE9oMYNf05Mh/MJOrW7BEJ4H4wt/5iZHM/IqZ6YEFXpkPHXXFRD2tGJWG +BpSnYS2+fEVwsxPvvN8wvxDxzy2Uwvxkbnmi3Q6H8JkVM13xcR10fyqycm0BB6azw4caY01 1yth1GunTyehbj43OSRoGglJ84lo7ymDuQsbrKZCh2OO2lR8jm6dlJb5iFsQO6JgLgG6KU9I /gkwg1yHsGd07XWRwnxB4Ur+jd13qo894pCe6eSQGO5JEQh4WxtS6f4G56671udAzu93/UgG mX+B0yI9ADj9N8bZ6RFr+6OMMx+RdCMY3zclnP/f8Z6m+YvPssyfhjG/X8tDR+ij4dwAAAAA SUVORK5CYII=</item> <item item-id="17">iVBORw0KGgoAAAANSUhEUgAAAC0AAAAXCAYAAACf+8ZRAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAD3SURBVFhH7ZUBDsQQEEWdy4Gcx2lc xmFmByODVV2tVU28RLKaWG/Grwp4IVt6Flt6FstLWy1BCOGHMuHZ2tJGoayC4GpAkXgibUFL ruZ5Kj6uCKlTaa7kGmET7sxNrAYpJGhLcwc9I+kgHLPDG0cRHFhhuv7vZNGIkCfNqIq800YJ kFSqfyE6jsGt5SZUxtl/XZL283SRWzDo6H+hJk2Ox9IUeo7E5BfV+zQzjRTS33Hok74dj8p+ 3im7PQZLDyE7bb7dWJqkQicwS93xiOvH5r7vi+g7nwiU8wc5lkbKKy/+fpqmNB85jqlhbnMi vSZbehYvlAb4AOp3IZF2DP2NAAAAAElFTkSuQmCC</item> <item item-id="18">iVBORw0KGgoAAAANSUhEUgAAADQAAAAXCAYAAABEQGxzAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEgSURBVFhH7ZaNDYQgDIWZi4GYh2lY xmF6LT9SaDhBiRLjl5BcOKh99FFV8DI+QavzCVqdXZAzCpTiw4AL/4Dh8ybMrsEGVmNO2uKv QFmhzYIuxCRoowabdi0BO+imICKK0iz7zWpYqjAMyu2/IMQvUrEizhTizhGtISp/nS5BOQEc zdKwNSzg3XQKIqJHG4KoiaTK+aADnpQNqBoDsQYqhPZAu9EDRHx/z7h9SPx8O/XQJciZ3NHC aVbJktDCZsF+Awc7jUNBtKBMTFpPWmxM0G2Wk4kG/Dw+qH1nnquQPxwpiHWs6oSSmH3Q5mHL pfgz71n1BRNfM42mcEDdFESTeI5zgpC6bV9/+c7htKBsIxxPXJ4GFwStySdodV4mCOAHC1F6 NkZ4X1oAAAAASUVORK5CYII=</item> <item item-id="19">iVBORw0KGgoAAAANSUhEUgAAAJYAAAAtCAYAAABMDJJUAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOlSURBVHhe7ZmJcYQwDEW3LgqiHqqh mS2GSLJkfMgGAmSP/DfjSdg1YFnPB+xjAeAGIBa4BYgFbgFigVuAWOAWINYlPJdpeCyPYaL/ AAOxTjMv44Ok4gKxIhDrIp7TALESINZFQKwciHURECsHYl0ExMqBWBcBsXIg1kVArByIdREQ KwdiXcQ84j1WCsQ6TfKCVMqwTLCrFCt00jjr4YuQZUUTtactMlto/eEjs6o/CWkMdWFZO3W2 Zsp5pHqe8Pk1e32d5uQxDMtg/3uF2pOItY68l4olnTBSa+RgU3SRKlYI9T9TLqIhwHMa42fV Xk7OCclsRW0Dr9kvm9dYBUxz4e8ruS5dT48Cz0lMfJ1YIYDs/hx0K2Bpr0moZGJ+GA2xUrxk BnFaMfNgG5extwek+45jkMvNPbeLvi8HuS9W4KRYZvJFiZT7Fx3rfWZ4Er18cJygEov6d8oD qZPZzwHXl5mqJy2LNet1HFHmkc+rVw9X8ikcN8SyxlL5ywx5osiIa4jiddZXiUWxF4GUyZRj itdf5jiPdr3ONkHECn/d/pT77RGL6uixK1a8uHejDukm2i1b2Zb7HRBLv8uCO9jmt0La3u8z EymWLLEFfL3k/OaSSfVCNe3P5By+X/pd2pyqLVx6YsWT5fgPk+SJtTUDxcGQFn9ZOCO+W/9g 2aQaFJTMok3pLBES68fKcLzZ6SpuFWYUy65pbWCZ7PoNsTKxqc5+sTpJvRpPZO+zJmEJ/4in QhsQaedWYlE83T2Wblm8BNn1vVLWT8QygaQOfb725R6xqFZ/j9U43uD0UqgdtdX4FkfqviWV WDVVjI0ccT1vgLnLYSaW3oPaMcT9GbNPrMD8ZjMWw50bG1sH46Mjt7MsfAR7xSriDJ+VeWv0 heY0k64Qy+rkE8FesTQXekToFCiFgpv14nbsBntPQq2jss4S9H4WjHUAlY9Y/ppYPyYlD5yo 66xVnPOlFHlL+kvKQEKl5yWSpPuzNB+h3sabd/Jhx44SgONALHALEOs3lEtKsWy1l/L/A8T6 BeWeI5NHNuC259z78PF9QKzDkCxNU8ImuhLNfST/biDWUWRGaixzskR6T2L9VwjfCMQ6xMZr gWwZNP7ncgixfs0qWZQGYkUg1knkJxKzxhNLnyAhFjgGy2TWYI8VgVhnIbHW2ah+KvR/T/t+ INYZeDYqpeEZLH6G91hgD7pfik+EjZkIb94hFrgJiAVuAWKBW4BY4BYgFriBZfkBJlFpSkZ6 gSkAAAAASUVORK5CYII=</item> <item item-id="20">iVBORw0KGgoAAAANSUhEUgAAADMAAAAVCAYAAADrVNYBAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADvSURBVFhH7ZWNDYQgDEaZi4GYh2lY hmF65U8BCzSHZ/DCS0jEGPq9girgj9gyq7JlVqWSMaCEAGXi9EGsliCwthu8+ha0xOelxqtA JhNE+IvdiFFYV2ECP2E09MzakEGsBvm4TOhwUdPJZSFb+N1cSsbXlKDz5NQ9AqZMPI9uGztm 6YyPRpfiiCV47y5LRqSu+ELtDlHBqdHl1zLHIsztnoKSqXM0+EJmvOgUVMOYTbxVhjpS1Ohz /ZrVIVssKIMUn2Le++IwCtenZbIfkdtiE0SO+ahNk/gux3qlyPVPX2Y98zHa9h62zKpsmTUB +AAZzUmI4LiV0AAAAABJRU5ErkJggg==</item> <item item-id="21">iVBORw0KGgoAAAANSUhEUgAAACsAAAAVCAYAAADfLRcdAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADMSURBVEhL7ZQBDsMgCAB9Fw/yPb7G z/AYCgNXTdaNLRq6xEts1Gq9Iproj9iyq9iyqxhlsRCkRLlaO4xKmT2SleZzyppo/zIGEc38 VLAAO2n7fpFFJLSqIvJAhTsnyCIVkB05ozEVcTKhC9kmIEX/KgTxgfKM9EvZXrDm76Km498U 57ZprrZ57pzVkxmVx00aOHpuWRkcg6akT/bR58/bWWnQI9+UaR9k7aD9sMA0xMkO2SjLjInt 2f7JV1fNw/rp8ja4OVt2FVt2DUQHeh471eKY87oAAAAASUVORK5CYII=</item> <item item-id="22">iVBORw0KGgoAAAANSUhEUgAAAIAAAAAvCAYAAAArdMLwAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOUSURBVHhe7ZrZdaswEEDVwOvDNdDF a4I64g6ohq904mIURjtaR4CEgbnncBKZhG2uRiNhxolHQwLUMI+csZHPqvn1fCY+sIFPH9WO QAIgmUfG2XiZ0Dt8+DQwPiQsIAEQQPAvGXuHzzREJSABSkDav3r0FTGRSYAsMx8xY74Ya6+Q JcL7IQEyQNosBlUFn11CgHAoIAGSIHs/0C0DyIJu33nW90UCpKgZ+7sJAMHbfx63FiABElRV /kYA2UNhOGCF+Xc9Mvjy2LDpXuycc5iWFoJFbj0MkABR4KFWBNDUAfZ/xLoBdgjBEsk0cB4d TBjfUVkLjqNkIQGiVIz/QHQISKdrKUdmSwXRP49ou9eJvW77dyRADKeHoMgIkFqB24R/HqhT VteJLRLh70iANPCgy0/REhNAfHZwHeCdJ0z5WAHAHXltJECM2tW/QABVmNUcAwMJ0IkNy78i GEtw9HZo6jcoscQ5lhS+eQggAfJsEOAUREZwij6/nYEEyHEVARb8aSA28wQCBFMTnVrgYTif t0ltZfzraxqfCwmwGhYqrjmeAYJiBsCPK62wls99BHi/OHu9VeOevF//+P9fhADw8M8MPgR9 taASlfRgLpUBtoHIAFt6vk5HuEIEhR9wEuAQCgKcn/YBf2ol1tpnXwBnDIQtWMHL7Df3K7OM EffpAuiHtbfgCwpLf8M85GwGkMG116mCbYKc2b8qbr2MRRnABu+sqt+QE0AE0QtezX7/2Bqk AFag79tKoGYBXyGBHySnLYcIv96wL2FK+4NjaygDqPbCHgmaDwGih/sBdGYNpf0kQFkA4NRM kBNAj+lOLxe93qsBkvtTAjxxHSDoreYh6go5ts8nfOC7UD3YbOPoXIs02J5TbcG1pfav72sl wWMzACF5ogDsZ+1CbftWPE0ACKYb0C3tW9FVAKco7UggwBE/b0M3AWwdcpoAbvDg9z3t2wCz g14RSc1EmgKFcUQAYG/7FkBQkjOdgzlbAPUJsWJJzd0FcKarzW2AoUdO1UmAKLaHNEcJYNY1 oP44+uvkPk6GIwESwMJYl7TsDwGi3ViARTK9qksCpOg1E4gK0FY+V24SIIkdJ5vSXYD1fZEA GaCnNH8B1lkAeBnm3hMJkKV1FoDjq8rf+bqbaR/uXng/JEAB8fq4XT7uSqywJQEQdJsRNMRP /RoSAMmVJUgFHyABKgAJDvuySw9UQZkrZEmAR8P5H0uBvWNy3aVdAAAAAElFTkSuQmCC</item> <item item-id="23">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAVCAYAAAD/wUjgAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEmSURBVFhH7ZZbFsQQDECty4Ksx2q6 GYvJ1LMSMR0t4yf3HB841bjxUiAgRAhBhBBECEGEEIiQA4xSYI5U3YizGtQZiy9v4zlMHKcU bcHFDtSurauFOLA6dmwXEgI1Z3pCZU6SnAXdjBPnXLfhFcJ+9G/aIIOgnNWnMHPzK4fOdYKQ vLJyRl8SYtBwrt4Lrm0UNDdGeuKrELT3xiw9B22XzIRtU+bWl+G5ETKeleYAo+VuVouF5Dj8 AcrREbLxtuGEkEQ9ohojJ42TwgrJFrcICTGsPkP6UrpbJr4DNmwZ5sALsSy6ZXxMtZQfDtVJ t8cI6Jpd+Q5ppVxC0gcxk3Fl1K/FvpjJ127i/qWa/lvE0fpFs2qJbNQX2oWCCCGIEIIIIYgQ BMAHiCDB8n9zMwUAAAAASUVORK5CYII=</item> <item item-id="24">iVBORw0KGgoAAAANSUhEUgAAAFgAAAAXCAYAAACPm4iNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGISURBVGhD7ZZREoQgCIY9lwfqPJ2m y3QYV1Q2NEvU2O2Bb8aZnEWEH2gzThFFBRZGBRZGBRZGBRZGBT6xucUYt2xpy6Z+TgXO2N1q jTPdAkdxa+eIwNF5f+WkeCoe8LN4CZjsq7MjHXxxjgg8OhoIVr8jmVtm40FeIfDR4nFBQE8l OEItHgCL6Jdd/Y7DnMDbQuK4E+N7jsTo7Y8OzhwfRqMCZ4HVVstxpSPAp12jrPtq2z4CswJb l668J50zJtlvS3i+EBiIIrNykKCMJ+ypUNDldeGmivu9t3OCq/GyBSYjyx7NScp4oCOyu7kN MNbBWIyqf7ShP5bxok3ang2KBNijknj6FXF+JcgKDH7DnTjyLcYF5ibyMC8QGIiNwjjfFDgF HDsMHJb7Fmjfkcwtxf2/eEWgKGHFzo1dTOJIpjn0q8ef24ifZFHhSCBUsZ2JLCF5kmC5fyks gbFC/9a4/EzD5zdzKfDxJwWjQsb1V18RVUgc/642k5sOVp5ABRZGBRZGBRbFuQ8FFHWxdbLT ZAAAAABJRU5ErkJggg==</item> <item item-id="25">iVBORw0KGgoAAAANSUhEUgAAADQAAAAVCAYAAAAJiM14AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADYSURBVFhH7ZYBDoMgDAB5Fw/iPbyG z/QxHR2DgQwpEVljuAQTMUKPQlXhw9hC0tlC0klCzihUKmvaIoQHRb+2796bcWiyOY37dDMo MwQWdTUAoNVjg16DZIy/BsBqL/W979EVosytk/EAhJ2RIEGN3I1xIrQ6Mw0opoEgGkKCZOJZ ZvJT6EoBqIrLsTFXKZyd+N6EMxQDW1PV2kQxbhynRUGGVNj+U4SIUalZWy6HxuS+1hUi/pop immgMCShamXTIOVXu3x2A4c/k9G5ygw9gC0knS0kG8QX21kKpWmMphkAAAAASUVORK5C YII=</item> <item item-id="26">iVBORw0KGgoAAAANSUhEUgAAADEAAAAVCAYAAADvoQY8AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADTSURBVFhH7ZSBDcMgDASZywMxD9Ow jIdxcA0KVA0xDUJuxUlEAQX4h3cc/QHbhBW2CSu0JjAQOEc+5v5SIvm0t8ttRMNpIhsYXWAO bMCnp4ABko6zf4eNm0AkzK8CmwIK7eAlhuJUwToGRFyYQApQ8qk/kSmwBghvN9Pno4laePTc 7+dTvuk05alKLZR5U2tC/horI1bMgDICahPaBecgcZ5n4jXWr4tZcarhNbXTbkzkAv9CxCNY x0BxtyYSbXEtilH0zZ7u0d/pR9kmrLBN2IDoAIeZPGm6kYxQAAAAAElFTkSuQmCC</item> <item item-id="27">iVBORw0KGgoAAAANSUhEUgAAAJkAAAA7CAYAAABoiChfAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOpSURBVHhe7ZwNtqIwDEZZFwtiH7MD VsNmXAwDSUvTXys22le/e07PkREljbdpi76ZdgCUgWRAHUgG1IFkQB1IBtSBZEAdSAbUgWRA HUgG1IFkQB1IBtSBZEAdSPZRtn2Zpn3ZHvs6T/t0PJ7Xh3luXCDZx3BiTdO8k1vbcjxeDvXG BpJ9FBZtsVY91n2GZKAtkAxoQCJZsSAZaA2tuXgdBsmAHqKSbYtc+PNOk47n9dBvXCCZNt50 +ZtAMgVcxXINkoFmkGBi+rPCQTLQBpoazY1WC6ZLSNaSxzofVSvYLUIySNYUumWBShZySRYv Vu2IFFvts93K1vke9+4H1cf17/Y12mFjEnF0Idl38+9XMpOQqOTTTcRghNbS4kvg2rjovJtx NiNIvmhfEa2D/MfTpXlD+ROUc61xL0GpERTc9a6lNi46782kDkMf+U+uyXgBa4w8RsLd3zyd pTZ+LY/0O9LWxkXn3blAh6RugYQfrpcXQS/5zyz82XYq88lobKCl885zwo7z6+z08XoZfxaX oaKauRjKrQdINHHvzZfM5KTj/BeyaAJKBm+DdFZHIym3FjBltxRjmVxcEj6ndIpLdLn1AFcQ l0tfMu5rVFU6yn+hkh0BUqCJgMJA6diXLEzMxVudfBLXRSbxf5VAGE+yTD57yn9Ssm1xwvCa IAg2KZl/UY1OPo3rYkTJXN89yYLnLD3lP5LM6wDBL/DKY4Vk3Pl2nayK64KfK13DTofPWonU +S1ajN8fmYusTB3l3+sRBZx4EXdEVIYayehC8QhLn1umOi4LXSM3yhj5oZZaL3BfuU/nY0pH MZf95N9kUewazibe0L7R1eaZguTjoxMbB30di+ult9DyWlIEMzK8f3slLn/3lUrKn8cI4vqd kEjQS/6Vh2pmNBV4rMtL58ec15SJGo/zQ6wbQ33kX38+oNFX29Fz5LwjCI/GEYuYpF6ygw7y /6FFR011OTv42qjzqblGb9gPxU1L8fQW85JkxHfz38/K9udwYl1rq9yO8I8Dyb4Ki3ZVpWBX NgqQ7KtAMqAOJAMtIHHiHRcDycC70EKeF/cpyfj7P7vw550mHQ/2F+WQTBuvkgWV60eAZNp4 ktn7YvTMzwDJFHDToGvLJqZDauOtvXJAssaQYLn/pqC4CRgXSNYSkij4akaKBcnAu/DPX4Jp EJJBsqakfgoNySBZW+ziXlQzSAbJ2hPuIl3z/k4Vu0sA2gHJgDqQDKgDyYA6kAwos+//AaPb I5x/214HAAAAAElFTkSuQmCC</item> <item item-id="28">iVBORw0KGgoAAAANSUhEUgAAAIIAAAAWCAYAAAAM9ESoAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIzSURBVGhD7ZaNza0gDIady4HY427g NC7jMFxoQctPEfQgfEmfxOREOe3b9gVdtCAYxAgCIEYQADGCAIgRBECMIACnEXa16GWhl9I7 PtGK3ld4Fzn0tpp762Z+lbAxfLw26nX9e5xjHsb1KTwRjk2vQRCPHfiqt2DaJEHJCLvKxGuk Vhesi3X+EQb3KX01uGArWXVsqw4OAoJ9xhsh53A8Rbh4LLW6YN3Lhn7O+D5lvxFguN4xxqk0 aEzJCPa4Sv+LJ0lzgYZaXbDuNgE2+vUudPijmaaNBxDoJ8zQJ+Zj0TfJXDdKIFjWCLaQuGgs 7nxfNQ+hUtegUwHMQHoRGsFpT3TP0SfGCBYn5qkRuHeeO7puwhao0YVrWnKkH1vRVREMd+JV c2gE1JTszkn6VDgRjDgQWRbDGSFuysmrAmt1MU3vTTTUwAhM3bP0KWuEXV1HFe6UjFDHl0ao 1zXSCJfGwAjRM88sfUqMEIgHcDF3xHBGwMJ/V2CbLnzWkuMXr4Y4L9XMDnySPgVGALGZP2AR +R0GDcwZAZKkO+BJgc26IAe3C/qCmjC3/Q2yizXP0SdnBPKVaS8SzAc5r3PozmnnlRZjTZKa h+aiw/Lx6L0nutyz2w762B0M44Z46csMmjBDn5iPxV/BuL3Asamm9Sk2Z4fhPsA2+taPwPg+ dTaCAXZHbZHW2W+GiLulrvn9qTeCYXCf+hsBqNmltri2XRFSk+NbmowAjOvTR0YQZkeMIBi0 /g+h+SyPLfBp1wAAAABJRU5ErkJggg==</item> <item item-id="29">iVBORw0KGgoAAAANSUhEUgAAATIAAAAxCAYAAABZJSXfAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAXrSURBVHhe7ZzbceM6EESVwM3DtSEo i01CeTgDRqOvm4mC4XIGADV4kQPwDfapYpUly8Sg2W6AAO1HDwAAFwdBBsCRvF/94/Hq3/Yl SPDp+ufj2Xcf+zoBggyAg3i/Hv3jhQjT8em756N/ZtIMQQbAAVCIIcPK+XTPZJghyADYG7qd RIpVkxoEEGQA7Mq7f2FNbCGxhggyAHaEbo0wGVtOeIuJIANgNzAbWw9fSwQZAHuBtbFVkWtl CLIt4edfsDsFDFU7lfBQnmFgcLeXCLKt4AcdH3zAhGBIpL57Tj/UGQEPTUMh/+wGZRFk24LR FIxUro/BQxN8NUWQbQlMCBxi9lAEPDQBzXIRZJvAf3YyGE8eMCHgQFIaAR7S836Z23UE2Yqw AcWo6wwJE4LBDKodS3ioDATZ2vAtQLCYi9sC4NAEGTxUDIJsZehJ4+jfscCEwKEIMnioHATZ 2vBWOUZTkEEzI4OHiomCLF5gdCMDbXGK90dF/fenha7ceh7Q1/Vb3cY6uHpEDbuZ8A76lnBC PTRBNrYhznuKIDuvv9IzMiuaJyQTPsz33fbkVzwlzojNo0ydCCPauvhzwYi2K8HFEcdmRryV vgrOqsfvT//4+bUvpjjAQ1Oc3F+/P//1f/9P3VraRuVflkd/sf/ugsaooKHQSOlUkpvPFl8U TV0Ef26h8JfhKvpSTXtckxProZqRnY3z+2tyjYwaGO/VhwsgG8/BU8igKnov/lkz4tRcU21d /LnZBswFWTzaLMRNvWW54QX2+i04t74SfZA1q8dBQda6v2YW+90v+XCoTphKaepwKI4Rgc/L R2mIKOuqmjUcB5tNPDvkG832OervlfSl8+o/36QeBwUZ0bK/FLuWtmiN+NSwEIqhC5cqhous S3SDpi7zmZI23MiVPeoLnsWMVF+tfKOZvkSj16X0LQuyJvU4MMha9pdiRjZ0gjszf0J3Mkko 3sgiIbR1ZS7OWQlM4xkto9fZ9V00MDSoB/eprojltKinZTLIZDAZQyY6ZPFEEWwhhL6uKwbZ t2+epsH3HNfS1xrYvpqlBT1su2N4Ud01RaxBw/5y54yCzOskY06avAiDCOHF69zHWKD1hCiq y36vpA0j7MQxc7Lkz2SOGL9e2desoS6lb2GQBedvQg+qb6aIlFdqjpgG9bQkg4w7lfhp09kg IbmjoYiy41RMnPQ1QhTVRXAbiYtwYkxfTM30NXd3Uqsr6VsaZK7thvRQBNmWNKenJQgyMpoI JNGoa2w8nl3/Dt9zR1AszXKiIr22ZLEmhf33yupyLeWE83Hn1gm2C9Yk334ljCQ4t74SaqdC 55b0ODjImAb9lb21XJdMqk/w6V5Fn4+hNit+aU4EXUjddbyHvk3ooX6yf3ta8lf+yf614VFA K0blyD1CIpRNe8+I3mgDN9C3CT3OMCOztOSvnWZkDk3KkghawVJo2rgGRUZj2ta3CT2uGmTM ef21c5ABcHNOFGQtgSDbA7u4Cv+C6iATHoofEXIzGJrNiPdvZDgE2daQca2xEGSgKshSHrLB 5u8OEktv7a4JgmwPvBkZGQ2hdlvICzUXPzWrt+/JRyPK171a4BveCLIt8Uxopv8IsptCXhDP SqlJBdkABdf4HNgwc4uf97oDCLLNiNcxyITBGkbF7gy4OoMHlEGW9pD95oiZ4fP3bzs6fnc6 EWQrwgYUZnWGZJ9lRlZwF3RrWJMeirAD5F1NJWa5CLK14KAKjCrDC0F2eyiUJq//nIc8KBiH 2YjdELilr8QtNYJsJcyaRXDLiCADkpmdy1kPCdxunfmaZm33W66QAwOCbC14ZMSMDEzxXdNJ MuchS7xDecdbTF9LBNlqWDNJoyLIQADNIvI7jDMe4pfp/wxhZnNT524L6q/sK4JsVZwR4+P1 FrtMN7wNAA5/JhGT99Dzj3gtwsyF2HjUPOZxKWINEWQA7ExuVgV0pDZNEGQAHMDsDiZIEt5S OhBkABwEwqyMXIgRCDIADoTCDGumM9gNj6mNDAQZAODi9P0/5a15ujb+BB4AAAAASUVORK5C YII=</item> <item item-id="30">iVBORw0KGgoAAAANSUhEUgAAAfkAAAB0CAYAAACG70tWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABFVSURBVHhe7Z3rlaygtkY7gZNHjxNC Z7B/3iQqj86go6lfJ5MOpq4LtBoVFXCBgHOO4R67Hgqs1yeo1R8vAAAA6BJEXoXn6/Hx8frw bI/n+BWA0xBnAK3xfPhz9kMxaffaQORVkOL7GP4FyAlxBtAFz4eqyHsZ20DkVaD4QgmIM4Au QORbg+ILJSDOAKpGhNVZKt8EkW8Nii+UgDgDqJbfn9fXJNzy/0Hov35+7esliHxrUHyhBMQZ QK38Pp8vV9J/f75eH18/s/feIPKtQfGFEhBnAM0gIovI9wLFF0pQMM6kQBDT+TDLuV+vrdXc YuDnYxJ9JTN5luu7IUPxNckXcAMH3IgyIm+euSXmCvD7+vnauW6bGfwcQ6yvhlzdmsULiHxr KBffmBs44EbkF3kp/NT9suzO+DKBn9MI9dXzcZCniHxr6BbfqBs44EZkFvkShQe8FBVd/HyK I19JvT40LyLfGgWKLyIPWeMs/yoB7FHK/vj5PDs2HGr1bKY/vPZqOSLfGnkT54rlPKiRfHEW NPuArJTIc/ysg89X8t77Pqr3tn0ygMg3RU6RH47NLB4MueIs70kqhJLbD/hZj5O2RORbI1/y HN7AATciU5yVKDgQRNZr8/hZlVO+QuRbQ6H4jnfRu35naQ3m5BH5pGLlidcgUve7C0NhzrVk X9TPd+CMrxD51lBYujHXb5xkWgbQ8JpEuzs5RF6e/438oQ9fvIaQut+dEFHNcnmuoJ/vwhlf iW1zG3VsA5FXQXcmH3UDB9yIHCKfeMzUGR4zwwNy+Fgo7OdbcMJXiHxrfL8+Pz6Hf09AMsEh CnG2ROIuZTaCyGdCZtwZRL60n2/BCV89/w0Tt3/6fnYZ20DkVUg7o5NrZMsZO8kE22SY5UkR Dwy61HglzuN4PjL8pn0BP9+RdF/lWrFxsW0g8irEO8wkknNmPSUWyQTbZCgMgcuGqfFKnMeT ReQz+/muIPK3IdJhZglsERwsi8EhF4l8arwS50lcJvL4KxpE/jbEOczeWLf4PskEh1wj8qnx SpyncZXI4694EPnbEOkwSTjOmCGaa0Q+OV6J8yQum8njr2iaEvnp2svfNnVAvui8//b2/P39 IEgfUHi/vpPbOE/s+Ka+O/tUkUy9+ymW2uwR0p/58Q/jKaT4v4/ptB0Ur6n75SbEjn5KxPll Iv8eA/4Kpb2Z/OjQmZMNyx9SmHfQu8wzYc4OTw4mtF/mexkS5JAUhy2CzNkuSahb+CmCKu1x FGfzR3psXh7E0/fn6+Mz5KG81HglzmPj/PvzP6//+9/4Qovsfs5E5f5K99VRLmtg21gv148G cX9tTYrFzMG/v4N5XORgPuP4BiKGTQiYkH4J5nu5jbekhMNy0oqf5iKWj1rtcRBnz59FDto+ 787gpIhGD6pV2ojz8NlhRD406ef6/dXeTH5EBv++NjMEh2sYL2IYj9VlqWS9rzSc4KSB0H6Z 7x02MBZAFUOXcNg+07KUO+xlEM/s51C3n1zCi1qf9oiPM2OHvWM2VvzvEOc9iXzv/mpW5G3w WOccDlYE3vtLStLA0gDWQea4ZosdZGC/Es6ez1HCYceYhHJ8MU+m0XYru7Xkp4iiNtCfPWLj zLa716QUu90+VUjvcd7bTL5nfzUs8sJo0B1jmDOeLYNLUPkGYQyYdiZmOe7X9J2YNkwgvsfi 2Q7by+2wY6w//voxTyZrk9XZa1N+iihqA/3ZQz4PH7/ps/cE3KFBke89znsT+Z791fhMfuiA MfTxYK0T545aOvbNKSeF9msjcLJRwmEBLBJjlkwbdq/dT6dOvrqzR1ycBRUg6VPaoK6jwzh3 2fNbcj5c6eeO/dWsyLsdt0F11Bkx3twoOZwU3q+4pDpPCYcFYIL3z0azZFp8NtGWn8YkHV8d 0oM9xnZtgQ6Ps9lYXWbHGxA7pAzqSjqPc/e4+0Tkw5V+7thf4b5aEp7L6dg2ViK/Lg52wEcB IkabfcU4T89Jcf2yn8W0YZ2+s+0ebN9h3uMpbGvm43Zttpk0TfkpUuQXx2/fHvJ5wPiHMSxP FH62dpLxHgzKF3tbm4vv85RtTW9+nXOVyPtsn7Kt6ddfzYm8MbhnZNYRO2c2YvjVtT9pwGOA BCdF98u0kduALiUcFoa1ie2L/N+YbdfmLfkpVuSntnuxR0CcmeK4LLw7+wQU/xrpy69zupvJ D/Tqr4ZEXoLFKQqOQSZDvDcR82Uh2bi5R2bHKwPO2nIHKR1avhfZL/ezwyiYjq1h6AIOc21+ NLYxEf7ssx+IdfvJRdpJsHM39tiPs9Wxp23vmI2KvKHTOO9R5A0d+iufyI99f/fr6LUP24Zv bUURaSTOCL8/j0SjTRwZLweZ25TkmIJuTJR18K+RYA2L1Xv4qX17fL8+Pz6HfxUJ/iW0eukt zq/9xbv89OSvZF89/w0nF/+i4iIeO5bMIj9gRCnUUXJ2cqbwy6DilnJ0iE/kGH6fz9nZmjnT 3D2Ds4Qn08AN/NS+PTLEWcsz+ZHe4jx9drhDRX7uyV/JviriD1sv8ou8IaQ4iYPOBHeGAhhM 4bYlQLRF3tC3n9q3Rwbb3U3kDXXHOSK/pF5/IfK3IT2hU5AkCVmuh97IEGcdiHxv9C7yPYHI 34aSIj+0FTCLhx6pSOTNMmrCJRdnP7mxanbz03tsMk7n/ZuJU1Uij792QeRvQ4biu8HzUepk AuqjEpGXfcaCHrWrb79RROZ3RQtnl1/bpRqRx1+HIPK3oYzIx1/Lgr7IEGdStFOCypnh2QIf KPiz/UbG99xLUPeN9UxiqeLnEfw1csJXiHxrKBRfXzK5DEExuw4/vL5fUt2dTCKfcvlnFq/S rxMiPyAi8X5uehnrtyKjyJ/28x/4S0Dkb8TJ4isOHxJptizmYBPKfv635V85gNrIIPJyzMDi v74mK/FqBf7vvXX//PuNH76xqwHm8+zFr2Zy+Fg46+fxwzf465SvEPnWUEjM2RmzTaBb1zrw kEMAwmYjpvA7IjEJgYnRjdmesLvfChnfnUVjIHXGfYiCn1fc3F9nfIXIt4a2yNvkuXOtAx8K ceZBCvlurJnYXAiEG6+z2HU42m+GiNAwtnFV67axP4w/19L3aT/PwF+nfIXIt0Za8Z3Okt0t ZPkT7koekT8qOPZy0aJdt/hvCMHhfg7uXco2L+4Z94dCfIazfnbAXyd9hci3RnzxNYmRsPwJ dyaTyB8dVwpSykz+aL8REZf5vtKfIR9ulwC5/Dtx0s8j+Es46StEvjUiHW4SJ6Fows05WVh2 kJPM7aXHsYi7bQfF68F+5uUwe/QEup1Vhv0hpl6QMece7yk/m5f4SzjtK0S+NeKKr02IxfeD iibcm7g4i+Po2JMArLfH094oal8vj7G939d/nddOsE+C8d6y3IhWGzl965LuZ/w1oeArRL41 Ip1+tCyGyIMXheKygynWBN0lnLq+Gwl+PoeKrxD51ogtvvJ9Oet19kHk4ZC8Ii+UFBuwiOiW XubGz2mo+QqRb42U4jsJ/XrbX/6E+5Jf5AUEoBxXCPwEfo5D1VeIfGuUKb5wd/ZODMevKCEC wAlmRsbVuqsEfgI/B3DSV9bGng2RbwlEHgAAagKRVwSRBwCAmkDkFUHkAQCgJhB5RRB5AACo CUReEUQeAABqApFXBJEHAICaQOQVQeQBAKAmEHlFEHkAAKgJRF4RRB4AAGoCkVcEkQcAgJpA 5BVB5AEAoCYQeUUQ+Sowf8K31O9CAwDUDCKvCCJ/OfJHJCZhr+SPfwAAXAcirwgifzW/z+fL lXT5s5AfXz+z9wAA7gMirwgiXx2ydI/IA8BtQeQVQeRrQ2byLNcDwH1B5BVB5Oti8AezeAC4 NYi8Ioh8TTwf+AIA7g4irwgi7yX3I23jXfTuoWWZnqfnMuGxN+yAveBSEHlFEPkVuR9pc04g 3kV0eG/WxvCaAquEz96wDfaCy0HkFUHklxR5pM2ZKZnjj0X1b8MnqjAzjQN7waUg8oog8ofI zCajyEMBsHcc2AsuBZFXBJE/QuuRtudjOVuniOYEe8eBvaAeEHlFEPl9BvsozOJNAXWOMxVU imgesHcc2AvqApFXBJHfQ+WRNrP0+fWaLQawHJoP7B0H9oLqQOQVQeS30Hqkzd5Yt7AxRTQb 2DsO7AX1gcgrgsh70XykzTySxEypGNg7DuwF1YHIK1KjyKf3abqW+LdNx5FjOu8/vjfbsDMb 57tmO2OjqW3nGNUV0Wttrkut9q7Vxlfaq1abwLXYuEDkVUhPsiyYWcXJ/owFan2c39fPlzNj Md9bzGCysSg8zna50Hdp88rsXb2NL7BXt7kO50HkFYkReUmck0m5i68v0mZCoRmT311y915j N9/LOabaacXmuWMvJ8T1GmwCe9j4QORV8CXbFseF1vfozTLh5PXqGuCA7Du7Dm6Q/iUk/sCs nWHWsD62xXwvpYFKuIfNrxV54noNNoF8WF1C5FWwxgwL+7BCa5LfeeZ2nvj2bH2daNKPZTGw SS+FxG6xRX5sS/bdS+wOzvD7t3lY7OWEuF6DTSAPEg+IvBLWmGFBH1Zozdmyc8x54ttkXp1p b12fM0mZdnZvGYvH7gHsd9LbuJ7+bR4WezkhrtdgE8iD+AmRV8IacyvmzZm6JM7W5suWRRLP En8jkZfF4s2pxB+FwfRn7xgbxaglOrR5UuzlhLheg00gC1aXEHkVrDHD8ipwNmUS7W85bpb4 i88mciT+8/HXjhWMrb5HJv7Yp+Iis0fvNg+NvZz0YmPN+O0+7uAarC4h8ipYY4blVWihtYk0 Jaub+JsJbgqCXuLPio3B9slf2Ob9jWU2uyy0rend5uEi77NXyramTxv7xr61renTJnA14idE XglrzLCYDy+0boK/k3A3iaUf67P+lMQ3bXt2sH3amtmE2qBe+rZ5BTP5gb5tnAY2AX2sLiHy KlhjhgV9ZKEdk1aSzW6exHaQZbb1Mpq0Oe3vti39Xr7nfnfYnOSfkv69Le4I9hWKajAzn/WY vHRr88jYywlxvQabgCpWlxB5Fawxc4a9JFZYXklf9ovDkt+fR9T31+Qf/ymkeE7GGwvpujiu web5wcZrsAnoYH2FyKuQP/DDE3/ACFlo8p+d3cnY45YHS/P7fL5nIYLY0p2ZbIHN84ON12AT 0MHqEiKvgjVmztiPSnxDSJ8k6eNmAnPyjzsLsnSvLfIGbB4LNl6DTUAH6zNEXoXv1+fH5/Av tIAU0ZDlegCAZnn+e318DNv4Ek7BWW47DL4KmMWDh/F+Bpll2ueo3W2Kf8kF5/24KWlfOPYC KI6sWA7Bh8irgMi3wvOBn5Jwnk54i9YoYvM7toWzS8Md4LMXQEkQeU0Q+RaIv9YJM3wz0/E9 9/IHdh6Z2UtOfBB8KAgirwkiXwSnaEYvFw8BP7sOP7ym4EbiE/kBEfX3M91LO9+Zmb1sXBJz UAxEXhNEPjsSsKNwvwvlWESPloutCDnC790HfKxPpnxCZWep5vObq5jfXosTT2IPSoDIa4LI F8E3kxzfY7lYHyNYzk2Kk4D5bTsK2Y0Nv2uvjVUQgGwg8pog8kXYKJQsF2fA2Hpx89ymUMlM foj/cbXllkJ2ZK9N2wFkApHXBJHPhX/5c/zwDcvF2tgTp0VMbwhV+J8o7ZdDeyHyUBpEXhNE Pge7y58rWC5WxczKj2fy60sjN/XDkb0QeSgNIq8JIq+OKYosF1/HKNZuXC/sb2avHmPbWW3Y HwHqhwN7IfJQGkReE0ReG5aLa2ASrvX29V/nteOQSeDf261+XXDbXo+nc0mJ+IQSIPKaIPLq HC1/jrBcDADgAZHXBJHXZ5oVOXZluRgAIAxEXhNEPg+T0K83losBAHZA5DVB5AEAoCIQeU0Q eQAAqAhEXhNEHgAAKgKR12T72rFzuRgAAEAd3y+Dmg2RBwAA6JXX6/8BoW4WBfludTYAAAAA SUVORK5CYII=</item> <item item-id="31">iVBORw0KGgoAAAANSUhEUgAAAG8AAAAXCAYAAAAFtBHMAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJzSURBVGhD7VmJjcQgDExdKYh6qCbN UAyHebI8BoZN4BJpR1ppj+TweMY26G7TP7wWy8xTUurDf38mDi2l8t/fgSXmKbnr/QXCvIVn wHzzlNTiRYIoKfRb6E42T2m5i4ePyxyHFrs0zJ+P07xDbHrb4k8Q3SQTr4tgRbp+LscwXbez D+7DOO8eqOD2pd1H4zrwHJEr7TwS226Sd0ueEAnzeccFLzts2RkC88aw9Ow7RMTbFRxqYDk2 vRAxeUom2VCpbKxQ0FwkEq5GpPXsSyC8UZCgS0Yno8NAbPbMc53kzTCbdauQHY+coQFjFYZi mHcNSTdMhC24TCNurYLKhcVVBHRWUDCuUqoknHHnWXSKFMX8uuoR3kCcAQEvgS0SvLAr5hG8 yI1dXKV7IXISLQHss5QgXTxCp9h9EfYs2ryhOKB55WUp+/RymGMeVafZ1G7e3yiYmIwp+7ug efbnOAlKIE8KQYc3GocpringzBuIzZp3iI/orrp6QrpRlJhnSYDmURLJCHP7jYrX5Y3GaXG/ E1ycgdiFedRFaTL98UkgsZJXBswrx9e4eQhvOA4o4OWxycS3HMEzPzGvTM7Brhsy1dsbJVsE bMzum81DecNxLL/etLkJyTRoaMbAm+eS4ComCHB+KJA/U5I1//4HLQPieEYkaJz5TkpE/YJ3 N45B8d5cxFx5vXhULiz3gEhVuzVGXumNyr/0h2MwDsz7nzHVPCsOWMF0fsTjjRePOoU3FQUS J774PBlzzRsSOxqB7Oyg53eI2otjxvPCkXkFk80zMN33+3/eHMw3z+A1grys0JaY50bVw8+R gfP5KVhk3g/3Q+s/5Qvnc//31CwAAAAASUVORK5CYII=</item> <item item-id="32">iVBORw0KGgoAAAANSUhEUgAAAG8AAAAXCAYAAAAFtBHMAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJXSURBVGhD7VkLroQgDPRcHojzcBou w2F4LR8DiDgo8CTZSUj2oc+2M+1gdjfzw7KYJp6W0ij/+ZtQRkrtP6+BKeJpuZt9AWJWyTNg vHhaGrEQIVoKs0q6g8XTRu7i43aZQxmxS8r8+zjEU2Iz2xavQDoVE++LIEW6f2zHoKnbixf6 oT3vO3DD7ZOnj2NSjo1Nk04ek50QEJAXlE4UnxVMUM7PtDMEzhvD3LMvarJX4jE8EXHyXEwi jJIZIb5zkpvcXrnha9ceAskbhRLNRL6FHYDX4hHsgzbfsVQI0oXWvlKFqaOuut51W1fxCE/y LoLFO03xWHQTjx7lJolHGWK4MEl2EkriZWfRQVIU83HXI3kDcS5zH4eO4jE8yYh4XGweuEaA t7j40Ty5YVJsIVDTlFDPG4oDind+WcpWQw2dJ48mwtrHvb0pUSjU/i8onv07tikW4Ilt3eSN xik012h0Ey8Ww3XXNZEctFhkrXtzcpjsJHFnba3k3eaNxqnlPghdxDuLUbEhIiN5KaCiZbit QTybePL8dvGQvOE4oHifss1zcQ52n5JJhPLWlK7cki4E6Cwemjccx+Z37TYjYBvhmXiuiEOE qJpAwLEogMr3wkKIsYjjEUmQnflJSkhty1ujtnm6byRCXWHhdn3xwtIHTGAyrVfIO73S+a++ OAbjwHn/M4aKZ8kBO5htI7a3Mnk8KWVRUSBxim/PH8RY8ZrIjiyw6LV8vQepd3HIxqZZ5jsM Fo9A0/f7PW8MxotHWIaQxRptinjOqj5+jjScz1/BJPF+6A9j/gDmvvahlK6PDQAAAABJRU5E rkJggg==</item> <item item-id="33">iVBORw0KGgoAAAANSUhEUgAAAHUAAAAYCAYAAADEbrI4AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALASURBVGhD7ZnZcYUwDEXpKX8URB0p wdXQDMU4lmQbyRsCzMuD4cwwYTFouZIgyWBfHscr6gN5RW2wGGNnv/+dzNaYxe+vvKJWWMxo x0LCvo2Sn6+oJRZjpxsIGljMZLm7r6gZizXj9OVjN2W202ic50QUdZ4GOwx8C4G5G/j5iYcL CXDn2ANvj+vSUcTYn2O5bgE6jLFbZadCQMJIQN5EMAceJOrH3qW7cr0N9zsfv94YDwxuqBUN XHuOqDR5yrG2rh1kZ66bzFPUofhORaEGXy1ucaty+4hKCcur9hhhvPHkpMkSMUZg+tS6hCZT V1Ede3LdBET1+at8KIUku20jirqo7Bn/0MkoLLMrRfW+pbFh55RETd51sfh6xKjJtcIO870i KuADOSgqJDVUHa7ZeA4n/5BINsWzqAPWzpeiUmxZV1RFdfhRyU2fiVHSzrXKzraoUBkuIdjS 7ZGDRlJR0QAfpeA0P/4AbBwBQtSCQAjeoxS1W4wbudbaYf4VRZ2nNTDqmrqzRVHBQXGOxkfm 8JUkAglRa+JhYpSidopxM9daO8z3TFQRPNIeDSVR8ZxYvy/gHuM3+B2W8rjQv2q160Q9GyPA fSLyXKvt1ETNH0BQEgrvIAcK0FnUXpDfJB7so/204wSyEASdRc3vJ8jn1ju0JSrF6kWlhaVO CEbiFgX0VRU3VuG7R1OwXx/zh/FiFP3MaPnJc+T8VMUYcsTj4s9x21autblk6yofSidhVYOk x/8AJKxeVCuwrjSRMnbEmP7BfRdKO9zvKOrwK/U9ffwjR4gqUReiFRWTJjqjTvqrRjlG6Kxz Ba2xwz+4UAkQhIvS6ziOGVU2r0Ut6i4R2CgtPhyut8a9li07bsyzQkQlgiBX/bwdrltv/f9U nnjY7318V069Bz9JoQCFqEDv4/vSa3ReSOX9/xQFXiLW/gGtFBhzTOyiuAAAAABJRU5ErkJg gg==</item> <item item-id="34">iVBORw0KGgoAAAANSUhEUgAAAHsAAAAXCAYAAAAr8TBeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKjSURBVGhD7Vnpca4wDKSn/KMg6kgJ rsbNUIyf5etJPkDGggHCzjDhtHa1suzMN5kPfwaf2QewKmV0OL8ntFFqDef/8ZndiVXNZq4k 8m6o8fzM7sGqzPIAoyNWtRhM9zObjdWoebl5+86hzTIry9wjma2XyUwTPqIw+wG+v0S59H66 fQOcosXO6vlkkf289wAFOqfZTWc2CCJBIuhHeZXD+gAk7mS4tJbL1mo2bx4w77KNh2BYGHxA xGuVBQUiPRV3EcS0+Ht1eVvPDoLDmwu9mCm08uqaDQNPU6gi+zKnol0LOqw4JLio5nHIaIE2 2ppVvsWKmm1xhHcVYHbIa2ODFpPPNbBW3WgMtEm4HgJa3EyrmZ2tpalYJbRzeDPiIO4NswFB CCdBMGAWDGZHrEZXpaxEe5QblezoGMtjTEvbbAv3jBbHiHaKbd6sOPtmQ8XYKnUtYL9F6SVL hAuAWzKQlm/RPAxqAbhvmWaLad/hzY2D+FXNxoL9LGuThYoqiABBMjt8u9lL9BkY1gJwCWOa LaR9lzc3DuJemF0K3mglNiDZONiBlX2tbCl9gr24jYM5kISWeM41e1Q7gMObHadldjmAh7tv g5FkQGUBAXL46pMQPAopLR4+2VX+wmZzebPjOH5eSzDbv5iEoi9ikHTY1qHze/GI33FbTEKM 326xfAhrcdjij+NZ/iztYaYSvX28V26O0XuNDdogUDU55NcPBCScdIMWOrTnP1R0gRkH805m T7/U9+HrH9pyWIm6MyCZZCa1kf9LVNcOM3FsAnDi4I2ecwiMwmZJXae2VO9/D0OPOaglV7XD 88aGrwt7cexygQrUORSNOuvva2Bn96N/z8aGwLn09dswtM5eiUphErMB0tfvg1QLPhGN/cXb nfmQYMw/sLn99zEpncIAAAAASUVORK5CYII=</item> <item item-id="35">iVBORw0KGgoAAAANSUhEUgAAAHsAAAAXCAYAAAAr8TBeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKkSURBVGhD7Zntka0gDIbtaf9ZEHVs CVRjMxTDJQQ4QUHCIbrq9Zlx9viZvHkhMLOTfflveM3+AqO1XcLva7JYrU34/eE1uxOjZzsX Cnk1Snm+ZvdgtFU3MDpitLI03ddsNsbqWV28fa9ZrJq1yxxJZi9qstNEjyjMvUCvqyg3v54u X4BDtLhZPR8ssj/vFjBA5zS785kNgrIgkfwlDP55BtaH7Tt/jLCW09Zqdt48aN7bNh6CUWHw QjaYjEmtAYGC9SdyOGJaoNC17rV370s4eXNZlJ1CKy+u2fDhKQp2DzdHNCQ3pBYLdkR3kNGy N5jhnvwy1p13DTA71LWyQYvFd0dLBRSHbAI+kG8U75+FgBY/00pmo9FpLU2DVUI7J29GHJJ7 xWwgCNkpEI6+EGw1K2GzEUejf65j6G83Kquj41vImJa62Q5/L5/ZI9pz9vNmxWmbDSPGCfYt oN2iYqFSq/EBaMEg6VUBT2NQC+DfZZotpr2RNzcOya9o9qI+wnCWtZLFdpIKBAlmbQXvtwp9 BMNaAF8wptlC2pt5c+OQ3Ddmw8jOX2i3QAASio9sW0qfYBS3czA/JKHF02H2qHaAkzc7Ts3s 7QcQf90Fy0Y7BT5IRpmE4FGktCBY7GL+wmZz82bH8flhVwhm44OlmRODpAMKEdaR7Fp43tPd ymL8VovlIKzFs5c/jefyZ2kPMzXT+0XenBqT5yobtEHIaPKsz28IFLzaDSgd2tf/qOiCGYfm ncyefnPfh89/8pbDKtSVgWIWZ/0WWPPb2mEmjk0AThy60fMOgVHULKnz1JbK/e9m9JhDWnJR O9yvbPi6aMVxywUZoN6haNRRfx+Dm923/n82NQR+S58/jaF19kwKAzMzG5A+fx5SLfhAKvuL pzvzkrD2H1uwFYLgAQG/AAAAAElFTkSuQmCC</item> <item item-id="36">iVBORw0KGgoAAAANSUhEUgAAAEIAAAAXCAYAAAC/F5msAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFlSURBVFhH7ZYBrsMgCEB7Lg/keTxN L9PDOEFsQbF2q91c4kua/LgfCk9gW/wEmSKIKYKYIogpgthFrHbxy8If69f4ibf83MbTyOad CWfGhb/GYHNmz1Wk2kB2xOa8wSBJQgIKNt6JapmgUUSsluUe87sqoxwNkmFY1WC5FhBvYAgR sTtFniDmYm7qjojtRR0QgnEpOcOIwAvMulY7q1BZljT70PaN3qqLYDG+IUqMReL6eFREALQD PhQByzd1Ev5PI065rLOnVc0zIuA2Q1AMfh5IFYEtyZOChPIkO6OJoH33sYjVHnMVb6pehCoC khJnyiLrTe8dAYXJhM9HRBNRjkJbxO3RUN6hXlIFIaIsIILnIRnt2wML6CCiC6ITr+8HgETE RDX7ScL+ZC86PmMt+IvRIHi+77yvsixvki/LYnmOxzMiAvnX59mPshF4TEQaB2zTb8zETR4U 8V9MEcQUQUwRiPcvpyc16GMFinMAAAAASUVORK5CYII=</item> <item item-id="37">iVBORw0KGgoAAAANSUhEUgAAAEIAAAAXCAYAAAC/F5msAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFYSURBVFhH7ZaBscIgDEA7FwMxD9Ow TIfBJARMwFq0cEWPd8edH5GSR5LfLSyIJYJZIpglglkimCzC2y1smxw2+PhNsHLextlyPk/f zh6cgTMZB5/a0Rmxu2AosCQhgZub4PLO+Pdzze7MJDLE5VwSgbAM84yaAlVBeiekIHwLk6QF XcxlEUC8Yc4Ab5WUI6i0/k1EvmFMsabg4nq9VOzx4aGu0lEEwvXWIgLLqXgwZkjKJDrYyT51 sy7GB9nWOSOgGUJZ4CHOzuCtbKQA9RnZcFFq2YDH0U2EDCze1HEQ+NBKFApUB3lVOuPoIqIO 7E2JlI0UMsHBMjqIWn8uYqrSqAOI0DwcRgXNZaNHzJxvRPSEpH4nQnR4HOLESUIe8ABfzqWR fndbaei33fwK0MBBs7xI2Syr5jkfY0QA5b/PlpeyOxkmIpWDKpmJGSjit1gimCWCWSKIEB7+ XT2yKC2GnwAAAABJRU5ErkJggg==</item> <item item-id="38">iVBORw0KGgoAAAANSUhEUgAAAEIAAAAXCAYAAAC/F5msAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAF1SURBVFhH7ZXRkYQgDECti4Koh2ps hmJyJgQMAQ5P9Nid4c34IctCeCFxgwWxRDBLBLNEMEsEk0TsdoNtk4+FPfwCVo7bMKrH0/Bk vDO3YspvhHdgaJEoIeLBGQPO8ytJOOeEzfV/JrBbEUdI1FUZZWmwDHOemg6aLej9oUaCm0pR M8BkqYOjGONUrHWqPSJkmA92LCalVEF5s2uDEqiSURtr0GiWwW7eExrgZlXrYo2LWRkiK4vI 9fJoiEC4Gf6yimxMOghsvvEm0bxONGWzVk/vNO+IwGwei9Li/YWikFRCdCVlUBiQDvJhaiIo jgERuz3rKmSqd4hQBkkEBpWVQ6WRPc3TPaL4QlA2+1cThcUpZSn0RQyXRmUPiuPOV6NVy8XV 16iGeUfEI2Q38Xp/QFhECLRmP0pID27EvSMb4/nEjNJgZLx/2a/RLAfRzVK/fyDviDjQn89m WX0Ir4mI5UDX9D9qYpAXRXwXSwSzRDBLBAHwA0MHLoQctBuDAAAAAElFTkSuQmCC</item> <item item-id="39">iVBORw0KGgoAAAANSUhEUgAAAB0AAAAVCAYAAAC6wOViAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAAoSURBVEhL7c1BEQAACIAw+5fGFJwP WYENB0pVpapSVamqVFWq+pLCAvwJewRinOkcAAAAAElFTkSuQmCC</item> <item item-id="40">iVBORw0KGgoAAAANSUhEUgAAAAwAAAAXCAYAAAA/ZK6/AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACJSURBVDhP7ZDRDYAgDAU7VwfqPEzD Mg7zbKEoQgCNP354iYltufQB4SG/cIdK2BCYINHLAZUQIXRbyIfp+EQ7Rt6aehy0qjdsAdxs iELgYMdszCAdjoVUl02GpZCJEHXoMTIez6tOKBFOXguloVJ6pWWklvbSXo8FpX1W+58Kl5h+ n4XQ8zkB2AHAOd6GMdUv6QAAAABJRU5ErkJggg==</item> <item item-id="41">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAXCAYAAAClK3kiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHNSURBVFhH7ZiJccQgDEWpi4Koh2po hmIUDmELzCGws561988wswkLfD0kIBHw05JeA85qDQY/z8mA1hY/73oFOKslyErwXNXGPx+c 1aBOQEuyWgGd5uHgLGipFku0lAEltZsxagNnlAAhaEsLugH09+oaG7Na8ueyTV7m12+C3LIu zzi/UGYqKR90myb9nT3bStH5jqWK5uiCfsBNiXYU25+HKRq+e30dGQUCy7V6xnkjQuAOui9f uWtXiOfPl3CrSmJ5L4HDbG9cDnFHDmdGqbD74xLez6V+44vhr+mtOBNp2Y/iIf0dt7hAy1ig 7xe+A5zXwF8PQugrMo4Tzxic31G3EzhZO+l65fCfYvgLfRPgggbxkHFVcEbtg+MzoLzFku4B x/I3m3FBHHCx/wDueEP1SoIHLpXiqHHE9vdJcOG2qgCKt1j+BIj6LLg5fxFo5esIYBVczG50 S24p38iMydTWyJ8dXHDnteIvjqmCy+ajZT6Ix5+bvXccX58CtyYPde4N2o+HzvdocKG0sgoZ qR8PvZTWweE5kUqkXhJ3C58t+FNXw3gcVLIJJzPuC+SA/P4ft6gy6GlV4L8CnIvcleziWdw4 J18C7moB/AH14ZjzTqNdIAAAAABJRU5ErkJggg==</item> <item item-id="42">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAXCAYAAAClK3kiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHvSURBVFhH7ZiBsYMgDIaZy4GYh2lY hmF4BIJGIBDR19ra74671kr485uAV+V/TPEY45wx3uLnY1hvjMPPG48wzpnFL43kpbTmf79x znh9wrSMM9rTMF9unPNm0ZMtWmK9XkyImFiNs1p5pejIC4YJ9Lq+RsZRpvSFalsu0wsPYVmr bl9xsNBOVGY/6W0c1Hd2byuh8epWRXF0QZjwpkKrEesDMxWju/dbB6u9wnZt7nEgRCl8guHm K5/aFcj0QQtzXZLae8o4rHbmcEhPpNozKDHI4B5kvW8w5Aj0xcpsGVfsibntJfmQmB21uEAr CATI1xutU7KJ7I9jdPQBrHEB1LxOleZDYnYqLjwJfAqlNmdt7PNMbB1yVP8/fX2R+JvMOHE+ ZF7TOKu3BdNrQHmKFYDIFxon0keqo6IwroLLp1dx9Qk1aIkAzHlVq4r1nTCOzYczLpZoI1q8 HhZiT69BtZUGcWPEMX3J0KY5XeM6+cR5qbpRLTmlYJCIWdQ6iqBWD9r4Emb0pTltc2i8vf5u PqSFZf3BAKLbwu4B6OttISWjfGi8eeOC+ztR4fvtTITWGmwjK4J86KE0ZVzVHo2Svwf42oLf OGT57Pe+U636EYSq+/0fN0mZ9GEa5j/CuJB5aFnmnW4Es08+xLir8f4PLG6HS3daNxQAAAAA SUVORK5CYII=</item> <item item-id="43">iVBORw0KGgoAAAANSUhEUgAAAP8AAAA0CAYAAABFJ+69AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAT1SURBVHhe7ZyNkYMgEIVTVwpKPVZj MynGYxdQQDhZQwi675th5jT+wHMfrKj3WAAAKoH5AVAKzA+AUmB+AJQC84P2zK/l8XjY8prd SsUMqgfMD9rynpanD3D62wT8c3rbZZXMy2s1vPnb6DGK/2F+0JT3PC+h1d/Tc3k8p2idKt7v qO3zC+YHWqCUV7P5A7gjRNoPtEABrzvtJ97L9MQ9P1CFucfFqL8x2BwIzA++xvx6GfuDkJFS f5gffAUK8oEy3HGgORCYH1yXg0dWJsCj1NYs37sjqH2ER/f+z2WUKRCYHwixgU6TV7lg57TW /b6VO6f/Ej3GMT4B8wM5buLq3qO5gIvqAfMDOTB/DMwP1LAG+5jPr7tzUT1gfiDHBft6D8sf rox1P9uVi+oB8wM5aZrLyzD/1fSA+YGcbLAHy9q4qB4wP5AD88fA/EANMH8MzA90sL3UwpNa sw30EV9i6cN19VjNT/9kwFbYF/9WVtg4Uwbozsasqz137SnPtcE9Srrhl3JyPeL1A4RlU3ro EY/8Ll3ZTuQZ651kZqi6bsKLglDUhuDi3vUz2Wo9aHnbxr9Ce7cOoF4Pio1Uj3SfPfu0350w /DBj2C+0vlrXOMAOcXURn1vYBr6wzcwvbGMPavQwqXXws4HaYUzy8YW/qB7JvwqzncHxAJi9 5+cA8zunX2idwl2cit5ISvu6ejqZ3yBpA297Z/MbzlxTTpPvaH6DWA+KxQotChN+3qwHgnLA u0r9jJq6BttUG0cYCKv5K7WLqN+nbP4ObeyGVEO7fbypUj0oDivjo2B+wt1jlk5meiA+0Anz 7yczklJ1wUP+ryudz/eWbJ6q4wsDwZk/7KFl2hzo7SiZv0sbu1KnB5MJeI16cDs5BqnE7cjp 8c/Ib3Z2Bi+fjyo0wsj/T13ZlKEQVOf8Bf6oU1pH/nC5VptavemwGfN3amN2e0Gpp14PYn4l OivXw3cC6+1BQY9sDUIxrTh54exBfmv+w7qSYJFZSMhjAVfB3dIhWfPvl3PBVK83HSZj/l5t bElDPXaHUKyHxbZ3NX9Bj53592KSwfOVsr/JzW8b8E85vkpMTV3ZLNFGXwqEI/MXkOltt0/N 362NHRDpYYJ6DXDCaD6ZzdTqEUAe85uU9IjMv9/IwuvNCSOhmXPmb0FtXUsNz+yaIAyEE+aX 620v6l3NL9KDRjOzLi62LSr1CKHYC2KkpIczv1vwIgYb+hOtJQq8WvP747cQVljXLimg6425 GD0OX/E8o3d4DirBca+Y5kbI9JjTdb74/ZTpwTGernPbMwU9JLMOGX438lfDI3BwQdPlO6Ch jRKgR0xBj/ub30CpcngbUEyXLoyGNkqAHjE5Pc6bn3uPLdU4Tql+SZBGjV3RD/hVG+PbkXHk /f0131L0EbKOvR4fjvxANxRQW2D7YL9t/1qN7xDHvtWA+cF5vvaBzZVxxr+ABjA/aAo/ilRs fm7/RSYXYX7QEDvy6/W+HfWf0xTMg4zbEcD8oB00CZw+Y9aEe95OGljD+0m2MTsAmB80I3wH XSVs/sTorkMYMRuC+UETaKZf9TwfkTO/WaJbAJgf3BMT9NFLNCb9pw9s9JExOr8PM2ZGBPOD z3BpbVyuMdv9Dey7Dlv7R376AfOD02xvsCVFef5vH/eNrwXMD4BSYH4AlALzA6AUmB8ApcD8 AKhkWf4A8qsDXecPWdkAAAAASUVORK5CYII=</item> <item item-id="44">iVBORw0KGgoAAAANSUhEUgAAAT4AAAA0CAYAAAAT1FTiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAYlSURBVHhe7Z0JkoMgEEXnXDlQzuNp vEwO49DNIvtilKD8V0XV6BjBD/1tDM78bQAAMBkwPgDAdMD4AADTAeMDAEwHjA/Mw/re/v7+ ZHmvaie4lEE1h/GBOfgs20sHHv0sAvG1fOQ2uIh1exuzEz8LzUfxPhgfmILPum62zX2W1/b3 Wpx94GQ+H0ff9Q3jA+C30BQMxtcNvtFgqgvAb6FAxFS3B59teeEZHwADsG5vZHt9Gey5KowP TMf6fgvrA70ZaboL4wNTQcE30IxrLui5KowPzAkta7AzLrnMQa/1qouL1NII/9weIvCcqZbY nsMEf6i5gZ71vbZRHqvC+EA/eDGrHSQUDPs2T4WKgbgHbfQ4fpYUBpg+t1tqAvbmDKP5OKZH wPhAJyKZwbp4waC+AcxHoQq0TLDy7ycwtSLQPAWMD3SBFq/WfKNHx30dhALONkrneTjQPA2M D3SAMo+aqY7MPoqxY4JQZSvi5yDgbpaBnA80zwHjA9cTPGdKQIFTs75OBaF5bsTn94NcPpe6 SQJyPtA8C4wPXI58yF0OwvVdk6EIVBCaAOPteBDO+nYGNM8D4wOXUxOEdEw0U9CZhv3LaBD6 mQaMD5qngfGB6ylNu8TvnWARQbUkDxY0BKG7byKgeRYYH+gABURiSsUBSs+O7FKYotUEIe8r nOfRQPMcMD7QhdjSCjkd8wNQlGzKILMKeawI7FUGoNlWVfC5s+d5PtA8jTE+XstjLoaKdm77 okUZ4MLGbKtbd13V8jO1zTx23Wr5wc//Ggm1MZGBnA7VdU7m0a65u7/rEAyA5incjE+lr3tF GgqeXgJWMlRbqc69Hfqumu+AvbOagqPpuq0BMcKfYeK2X9038ppPNZxqzY+Mg4t5vOZUt6+5 /5mQcKqrKrRTZDrZTzsvxaVtdQdxlqteA0rReN08GE4zvgZdorgD9VwuPHeN5kfHQRForgk0 9/68vWxP2eijz/g4UPSH/W9/DqEGwAUCnd9WzXeDjdP10oA/anyCluvmY4cxvvtyZKxVjYMi 0Lxac4qpCr0TX25oo8p0mmgE/z53TBcq2mofU20A3ww2WV9RFmN8NdfgU/+ZtPH11uXutPaT PN49FJq30aA5xVPlOE8YH0EpY6Iy21VV8LZkWuHDS69UDSqbTFsFVJ9uH5tA1fm/GGzJDvBQ 2tl3NPNzFfnr1qSMr7suj6BOcyYyDqD5Ecqas5YcS1RcrWKaZzI+8WGV1fn1jfWv+vJt5cHn CEEixgfRWYZ87mtAKQrXbRHtn066RI8frNRTrzkRjANobko9bZprAzSJWELzaAvsDpMdEO8c AzXqR8ZXbGvQNhKyLKARXG3VQsJHz61Mzhmwap/ZldiODfKWPooaX2ddbsOJmgengOZxTtJc IjU1xpfQPDC+sMPq0kxTUQXyAjKlPBKYmrZy0DsHXTjYhMiODqJDv38NKKS1j1gDz/i66vIA mjRPjANo3kbrONeQv+hDUpo7xhceJOH9osK4uYnG+NlEB2rbmrrwyEc9Ggcb3VmoU5xS+PwB 4zvSR3yjgfEdpknzzDiA5vU0aW5DMWSN9ZTmyvjUhu4o60BdkSleANX9qz59/jM6r7GtiVT3 zMEW1KtLthJ19+Ii0vnEa0A7R/rIroOKdd4OutyfNs3X0jiA5hW0ac7x7e9TxzMJzVueMgZQ Q8qd9mM4i7IGjb89K9ClP9C8PwnNjxufcFI/xR/VBGmqZ099k2nyZECX/kDz/sQ0P2R89GEn veQy8p3LSp+HT1F7cidd3Gn7fbvxnmNxj/k7Zqih5l9NdQHoAw3cPeB0EOIe1gN9w3nWlBzG B8bnspf/QR5leg/UGcYHbgkv0YHxXQpr/LBMTwPjAzdEZnzwvSuR2d5rWaxnq88xQRgfuB+0 JMFfrwXORa2PI52l2ekvCJ5hfjA+cDvs9zfBRbDxeSanzPAJmTaMD9wK+kYXU9wOxIxPbNG0 F8YHQE9EMDoLfsWUN/tHIMAXREyO33p4RrYN4wP3QE2z3PLMbxxHQa6X3DV+0jfpMD4wPPE3 hZ4ThCMjl7Q8T28YHwBgOmB8AIDpgPEBAKYDxgcAmA4YHwBgMrbtH9YNt1LUDQT1AAAAAElF TkSuQmCC</item> <item item-id="45">iVBORw0KGgoAAAANSUhEUgAAACgAAAAVCAYAAAA0GqweAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAAtSURBVEhL7c4xAQAwDASh+jf9FcGS 4VDA23EFVUFVUBVUBVVBVVAVVAVVQbN9QKsTpLFMjZIAAAAASUVORK5CYII=</item> <item item-id="46">iVBORw0KGgoAAAANSUhEUgAAAFYAAAAXCAYAAACRUrg+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGvSURBVFhH7ZaLjcQgDERTFwVRD9XQ TIrhMBhifjk7K5acjpGQVqww9mMwOdzWFG2wk7TBTtIGO0kb7CRlsFYf7jjo0M7Gf5ym8zrO rtPpjPJ5KON/CWR1d81pVK6tW9ppnHpQf+nYHCRBTYJilDOiSmaIHLIILK6r1wDsykA1Nwoe BtdXbStAuIpQhODLjUoUihWAtVo706yJzi/qalztYT8svNtj4ymhQ/1mFPIbJALr8wc2zZpg oOoW1nPB0TKnJg0eL+xjEPQuYi+5L4gP9nJcs6ZoA0m0HRAGaQjoDsCCsC+NguXT5IFtH8dq CJLmgoUWkKLKwVJdkLlp3jjWb4rwxsEgkZc61t8mQ/JmgcX3ZewlvgG6YK2+YEWn1Seb9F6w dzcksOH02FpwGE/BQtLl2ruWwAe7ohVQtWvar4Jf43qw3DQLsCFwZ2WY98W3XwdrHBsO6WOw XuDAPBcNNAQHbhbsiWCrF5BET1DzKIJ/Gyzenjzo3ljDoPiRG2l9BVTst3kvAVTQ4PHiao1j /4I22El6Dra6Ktym/l/0oWO3RtpgJ2mDnaQNdoqc+wFIuuNRV/c18gAAAABJRU5ErkJg gg==</item> <item item-id="47">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAXCAYAAAClK3kiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGqSURBVFhH7ZXXEcMgDIY9FwMxD9Ow jIchEgibIoqVnJ1L+O54cFP5rbK5hYglnJAlnJAlnJAlnJBDOKs3t23p0c6GJ06n93W4+wx5 LFdC2Y2i72JeiNxeXnG7caoyjuzOKOXMTpePgDGccUUhxslGcbicJPYCdauSeCpRCY0+WmiI NcWPw8RBkG5gJBr3jsjeCTvjgvpUYVZnIn4Tfrx0Eg3jp6y0NiN7KY3lQOq3/hYCgsbZMOvs s4QY265DtSljkjnWE3FkL6chHNIpc2zneJ9pbY56+RTnqvjoVxlItwH9WHwnWI7F0BBvZK+g U3HggJyXOe3WZg58a19w+gmsHiwrH3shUiMfZGivgBUuNTI1JzCgG4WbWlaccHCFXVQVgmD5 VcLVRjotS+A3t7UqCJL5ghYz7KeMSH6sFJU1bS8nE863HJOAvw9B8OJAgHdVG7VaftrdEOI+ n1db86K9FBIu2aJ4EuNRtOMUIlk95+hdqjjiOWKlHKr4uHdn7PVpLIc50Pmkn59DLlw5G+D6 n0QUCceX+T0t+y281ar/zBJOyBJOyBJOhHMv7jIm1ArWPcIAAAAASUVORK5CYII=</item> <item item-id="48">iVBORw0KGgoAAAANSUhEUgAAAI0AAAAYCAYAAADH9X5VAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMpSURBVGhD7ZqNccMgDIUzlwfyPEzj ZTwMlQTYQoAMBKdxy7vjLk1s9PM+MGn7slNTjZrQTDVrODS7MXbzr79TmzVm96+nejQUmt0s dnmAIU/J81s1Dprd2PVBRuxmtZObPg2CZrdmWb/8sSS12XUxkPlUq8ZAA7vMst6LzLa+7OvF R4AUzOfvV+eBoC8f3m0wJuRYBWtcl1YWPm7jnghtaz4m+sZi1PZuCDQfOyMcRcrm9AHw2bMN g+ASmnjnDlCknoY5tV3eX5OJecLmRu16GwCNWz35gNpnnfLgcLOx+K4YpRV4o8ioq5ibEQvA 71BRkR6Gi8K3Fc5u2Zhwf6cxBzRh++fzSDMcmXJFY/KlVe4K68ytqCgPML57t0Bo1FU6XlXQ ZET+sEY6vy5yh/rwlmxMqj31vEbRTkOJsMljaHK0g2jl56DxK+EYrMDiPbXyueC8WsVXcd7O o1190Mgd2/V2MfCNNddf0rmTpDFZ/8LQ+igUQUOTs+AxNCFRUa7WePpMkHwQ/q5ZHspSsTVx KqFJD+FiNDS8CxrMk9/ja8P3XOQAwekdPpbCaz3mCVBtGfGZhpIpQJMDAEX3NEBDQsPfgQYL hTx988rFXsQp5nefeqDZVlGD8InEewF1GfZhTUz5+NOUgeZMMIKmBAc1vmDMTdDwJurP9hpo +vPoUSs0kQdBOWioVtdrbWcscoFzFj+MFUPDAqN4wlRszpwPQ5M20eWcL3gMNL/2eAIjo+MA 5Ot2kNgnklJLVUyIVVuGgMYH8HAcBhXNR2UKCBoMDeWWCeRyzpy3qqAp7VL3iACsgYZ2EwEn y5X7hNIeL3StFhP70LD7JdCQvNlnsprB8mTPxU/p3BzNTAdhfD2fBwYLFoA5RlT8BTRoTEOz 3lOoKwyel6/P55LUFIZocrQDFoBBJdBIfxt7kIfGC4MpuRzC69p+V3JhJmjMHxT1OO15T6GG QAMXNm1v19D4b0f+p37pcZJvJVNVGgNNi8lia0znx7kGmHkZB4D62KPpb0mFpklg0vx/mv+h cdCAHmPEwwD/Ng2FBtwY82i5U83nrympwdBM/X1Z+wOUmzlCxIkyIwAAAABJRU5ErkJg gg==</item> <item item-id="49">iVBORw0KGgoAAAANSUhEUgAAAIUAAAAYCAYAAADUIj6hAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMPSURBVGhD7ZoBcoQgDEU9lwfyPJzG y3gYmmBwIYQYkO3Wrn+GmbqrSUgeBNtO/tEjpgeKR4WGQ7E551f6+W9q9c5t9PMjSUOh2Nzs 5xsk/C5xfkrjoNicX26U6M0t/uFC1iAoNu/m5Y+3Da7VL7ODyB9xjYECdol5eS8S6zL5aUpH hBCKm35ujgNBnj+zW6yLn06AxBaXzxcHjxfnAJ+bbdkW7hAofq1HI3zi5PoK/JmzBUGsFpKB Hkf2THJP1Va8p20XHwDFTqu8QLXvOkVgpMXE4nb5MKzY0VoXOMvgytX8rmtZRIhVAjjsAqIt AqIjMQcUcXtObfBkhwCKLQyd11bpHthQKEBZHJVkmYRQNK6iSwJ/mIt6IetaFznHNVt7Pfvm lu0UwVDiIIeC+hevcFi5UsDJ9hYGBRgKQZ9100KxaDYsfqqxv0OQD4qjHQp4tnK/bGvP/ezg jTDmoAGQDIrgIHk4hyI6YqFpiaWt/rCB1/GCvuvv6QSdVHCrn/DdORTlIZcNKQYmbBuvNDRC oeyGoi1aEDN8vvuMi8gGRn6mCMYqUFByi/mHZ2xQbNAr09uak3MIJwlx0uR5TGY/tTmNFvhx iY/WeddaB6oOBQOgkitJAhSvADIoasXXVttZ0tFmBxRpkky9s+ZHi32gtJ3mvEj11oEyQ4F2 TP44FOzBFIrgXEr+BSjQZmv7yEANUtoIqerHCMWI9pEq5NK6GKDAWo5kWwIADQuAQUFOqPhH AdTiKgSePWdNDCnEJhjbY66dTxQ/Ib6TXeYNkgspS2sdKP5yEJXWERXukwtRqIAiiIr5Wg1a YNrvIpK3BJb89OCVi1Z+dn9qB0biLAJxDJaguh9QZ/u6qhIKml8Ri7ZwYp7iKGuU7XBGIFAy FCQM3mIL72tpAxa7I/5gdeanNe5v0RAo4Mbw+mNKL++RcF36oLcLuuqSwc/Z1vytGgOFsYho 77XdxcGfQ1vXimXz036m+RapUDQJdovn/yn+h8ZBAbpNom8G8G9rKBSQ7ctb/9vVcv75Ug2G 4tH95f0PSwGH2C2C2qgAAAAASUVORK5CYII=</item> <item item-id="50">iVBORw0KGgoAAAANSUhEUgAAAEAAAAAVCAYAAAD2KuiaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAECSURBVFhH7ZYNDsYQDIZ7LgdyHqdx mR2mK2p+Pst8SWUy3kTMJnifFgNcXBsA18tqA+B6WVUALGoA1Jabr+pAowBBGXqSUPAGXKLH DABPOAWAbLEiAJw3TaNyy6jLZ5kBh0E1BYAgv1AJANagKQbhYJNRAQAxcxJhKYkBaMjqDgC+ k0tDV15Ii3EAQtCcpQcAqkqdZxXQWuUPkMMAOJ887g2AOW6DUQDywDYBxGh9EYAbM/d1uwX8 5PCxLWA1qtwQ+e04BOVP9175+aUAkPnfgNA7/nyZDx9C5EMWpM5tECOuwfKvrZ2JPO8FqG4n lT6yQpEuM2BBbQBcL6sNgOtFhXgCH4LIAJRgSq4AAAAASUVORK5CYII=</item> <item item-id="51">iVBORw0KGgoAAAANSUhEUgAAAQIAAAAYCAYAAAARdfMZAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQcSURBVHhe7ZwBkqQgDEX7XB7I83iB vYaX8TAuAZUgkERAgRpeVVf1tNqE/8OX7tmd3z4YDP48IwgGg8EIghbYlmVfj+dtsu7Lsh3P 26Z9LWsT9nIEQWW2ZdqnDhZZD3X2omVtQjqNIKjJtuxzR427LfPebLmdaVmbu5cjCKqx7cs0 d7aNXfd5WlTlrdGjlrVxvSSCIPxZYp1/+++HH6cB6o3x6zO2BYxSrzXZRJVQd7DJ0ag8aV5R gI9Te7uCD7TMpbwXubheRoMAPkdEFy4I70zmJNQoaKIjCC4++zz7yCueFj+Hd/PdQGEvcsG6 RYIACjOLNxpQx6SwAfDGsfPh2AiCE6NvWCvqWCIPvSJZ58Z8/FjLXEp6kQvyMhwE6oR5PcKA qFAv7t+RZOoaKpXbCIJjTl4ip3Fu97BEd1MdjS5glxS7A5gdVOnGeOIVCTRPIf0wPWmZSzEv ckFeBoIAFos5GBYecy4sOjAA/V5eEBQySqcsVed76AZG83KbNxKm0XqNHlpP/QAfSjUz55Vw nBe17kbLbA0KecHB1YmO+0GgDtpfw5iC6MQ6BGeq9oPAipE1YZ1q8D7PjfG/wLk9BIWZsLR3 SLd5I/pRBuljpyaFNLqIefVgHK65MuhCy4x+cyngBYWkTqSdFwTrbI0AzGJxX7NA0erYMShV uB8EgJl01oQ1IOo7zcmCtleA07xOIyL0NZLmBUppxHklHCc2p4OscO1Gy9x+K+QFC1Mn0scN AnXA+0cZhPHrbAehAwPehguCIyHh4Z3HUTsI7NhO88aaVGsaqZds3nSNeK+E41C159KJluba dA2KecHC1Im0c4IAF2gxRd2LcEzSHAW7L17wQRAbX0KaMVl3rwsz7/NUrIuecygck5s3TSOZ V8JxqNqzaV9LQ1q/AUW9YGHqRNqhIFAXuRVaAkkdWiTGrPB3CnrRRYPAnfhz0o0pAW7Sy2iv CTHG/OCxaPOmaST3SjiOri+wIAvRspaWtH4r7gULUyfy8gqCsxjyMf/ThdmfbYXe9deiN0bZ Y7gwM1Hzuttc5N3aU0ZqzDneC418NJ2tk6qHMviuSVwjy6kxPo6vUw/WK8k4CrgpeIFemApa luu3d70oui6Ql96Xhd9iTdQTDLspQBoE7wPGSqYB54V2Tj5yjfL+U5BsHHnd+dTUkobvty+8 4KHrxLo1EwSm6PP5U/oLAnXiPonurFKN4DziTs4iGyf98+pz6mnJwfXbN17w0HViL6sGgU47 NUmz9TOT1z8/2XretpFpgpVD3LzCZpFpBK9TjckjG0c11hNvMqmjJQPbb195wcDW6XpZeUfw x1Fmjb9HUIjOtKzN+HsEjdH04sJ0sNC60bI2AS9HEFQnfyv5OrDN/PAjQTodaFmbiJcjCAaD P8++/wcX5dtCzs6M+gAAAABJRU5ErkJggg==</item> <item item-id="52" content-encoding="gzip">H4sIAAAAAAAA/+JhYGBgBOJEIOYCs5mAJEtJUWqqBAMIOAAxR26yf1JWanIJWIQhAYhtGCFS zGD1nM5hwa6FniWpuYxgFTxAzIYswAsmWcCKeYCKnfNzk/JB0hATBYCYHSiMEOEH2QF00CKg /pNsDAwmQL4SEP//D1INVOqfk+qck5maVwLWwwhyCcQnUBKo98J5wQcLN0o9ZEADdkC1//5z MrAhiTHCdUOcwwTl//sPshEC/o+CIQX+AvE/JDwKRhYIYsgHwhIGBQZXhjwgXcRQiV4U4AVi DKzwPA8qC3axZwUY2bC5zpNsfPv+E8MLZLUTtm849f/bVUZQKeQALUicgbaD7E0Fk8Uk2Q0C QgxMjMj+IVafJSNhNcQCcuynJqDEflAwgMpxUJywMEDK8lEwcgCo2ZHAysDQwgxJD1woKQMj mYCaGIIQISEoMyUTpJUfqpcFqiEToRckVQHEX/6jJs8JEBvOgAjfYIXgjNScHAWXnHRQek55 cr/80MP75S/FTGpATY1vxOrFAmxAREjPScPkC4LLehkWqJxnvQhrynCgexSr55mgvgc1hkSg gkD3/B9ADAIyjJaMK4AlWQUDK9MCpgMcDoK/mbEFAD4A1gAAAAD//wMAP1vIpuEKAAA=</item> <item item-id="53">iVBORw0KGgoAAAANSUhEUgAAAEsAAABLCAYAAAA4TnrqAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANtSURBVHhe7ZiL0awgDEaty4KoxwZu GzazxXgJzwQDS3bVVf6cGWZ2fef4ocK0Kd2oLAEqS4DKEqCyBKgsAQ1Z67Ysr/A7s5ppmybc jN3SrdkMXm78Us9rW2a7bF7sr+dSlfVa5npxr2WbiagISJk36hhJHFNWSIItkAQEE4TNyAwI rm3flP8QeFmrsUUHYVVbQcAUkmT3weJKBpUFknz3IjJYcgJbUgFelu+ib3Z9j0t56zqPYS/L ntiks/piWolJzySxrI6u3oNNtLtZAln7l1TRKhe0k7Ua+tD2By4f5JGQwnDBraL5ZHlhXyfL 3bCrk0VSFQgPcq6g1eQLbEvtkfXNW/MHsnDxmdBdigKgeCqw3R17ksWfvweZrAO6oT1hZSN7 dHuQfDGucGZbt9yejHvGuQusyvq2O16crFhos5l/PmXpf65ut38SExKXGi4qpNYt556Vlbaz erGs35AT5eR8HK0/Jism8DNff0BW7mpQKOqSkrdheFvHLvpxODv4cbKehcoSoLIEqCwBKktA khXfJqO0MyCyRkFlCVBZAh4gC4Yc9fksMjDGn9lpprNYHoD98iyGHxKl7StDHFh3BgfIqs8c ROiUTn08SMVYwlCGyqrfkMiNZUX6CgFAnhMAqaqOA0HqvBkTtnWLrLyOceNAsnKyaOIKQKRd l8QCxaCZpBAxjCwnKKTDiTAmC0ji8rGILJJE3J0pQ8jCovb/aeKiICKroLbu8bJKUQ6bFFys L3510lzSUOOkjCnLfR5w6/A+fLfCQpxw0lUf9+kQKWXl/+QbK7SUCCcyLGceQGV68LG4VAGw 7gwOlHUfVJYAlSXgElkjtTPQZAlQWQJUloBDZOFvH26shpHNT3Hfbq3tPbDuDL6XRQa3ZXEF 3fNT/mveC+E/dFvcVxYBiuTvdlwnm58q5Iwzn2VxyanceUig7aNk+PJ2foqR1dzec0gtDIfJ coNcewz+mZWLJrJIF+YG0oWst9t7bi/LwxeABZUDY8x+XfsZVTvWQ2RxBXiBcHzcuCKHlwUX nKdW6l0jgguk+4KY9qfD++09t5UF8HNMfCrKNLTnp/bH0Pmsg1FZAlSWAJUl4BJZo7SzGCdO F6CyBKgsASpLgMoSoLIEqCwBKkuAyhKgsgSoLAEqS4DKEqCyBKgsASqrm237D2DuZA4nbhef AAAAAElFTkSuQmCC</item> <item item-id="54">iVBORw0KGgoAAAANSUhEUgAAACsAAAAVCAYAAADfLRcdAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADMSURBVEhL7ZSBCcQgDEWdKwM5T6Zx GYfJRY2t6SntgZIe+CHQVCEvX42jP9KGXaUNu0oX2EDeOfJBUjMVDidReRrYSAh60UaJwzOu ZAgHk3Y2IoE1bEDCKN9ZYiJDTYCtJ3K6MVvBP4DNmzjPYWZ3MSOVv4GFy5HcSzXYi1+bTkyA jDyEfctU0IZ1YasL1rBpErQMw2tQRobhNQieoC3ObA8e2LpXPhSDfjfK/2T5AC0LxdE6kOvm PvTc0aVrNsEOamdfrg27Sht2jYg+T2Mq+TxoPAoAAAAASUVORK5CYII=</item> <item item-id="55">iVBORw0KGgoAAAANSUhEUgAAAMgAAAAYCAYAAAC/ZrKxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALiSURBVHhe7ZiJkcMgDEVdlwtyPW5g 26CZFMNKIAIYCYyPJHj0ZjyTsBzStz6QnayiKCJqEEWpoAZRlApqEEWpoAZRlApqEEWpUDGI sev6os9bjF2myU70LIaaAbPEdv8s0Nv9JRszpYMeA6/ZMU1edp2hbV7h0+iMq4tokNc6C0Fg gCER6gdJ5Dmsds4SDuDY2Yq+GxxZM6BLk6RAHmCQkXURDEIuhUCKjd6sm6Cp77YjJT4nnVGo Yr7HUNEs0KlJtbCGYWxdeIOYBYITCp/BHZVMP5fIRLsAzJkK8B3Cy9ruVhewU7MeTR5hkMF1 YQyCyfgCyoIW8cnzuYeClMTxR2ZFtzYgpptfXOMT9GjW0iTCF8IFmiFu126927MMpgtTS6VB QLjlnYVftLrzo9BVN9O9sYg8CnI4KVw7DGaO6Rblj8TNszewXs1ETXLKQrhAM+RdCDcbZCRd hFoqDGKW/Prhi0i+kpiltSvAWHohZfA+saNJvYxJRMK8uJ3lfvo0a2kS4fM5p1kEi7FukLMb yEi6SLWUGyRzPEFu4hbGSWoBpebhxUmTot0Dn6NFjuJ+2iCdmrU1ibQL4YxmbYOcYlhdCKql zCD8aeAXLhaCCbLjEpJfk4xK81DQWWPu+vpp1AbX/PQVq0ezfZpE2oVwRrN7DTKuLp5QS4lB ICghIFgNCiZZkI7B/ImOdwkwc7l26BuLOCSVJ3cMiL8Q7W72a7Zfk4gzsFgIZzW70yAj64LE WnobJARUfWBVsZ+LyAeXt3mKcS6AtH9+pFZ3dyb77X2XJ6y3p2+bfZr9dWqCYPEm7VkhX6XZ fQYZWxfsH8cXP9I/i08KY3RJMMHuAQU9OHRArtHMF9tdJ8g3uKeWfsYg/oUdOBq3v4Xg+0Ft BuECzRzPNciVtfRVg8SjD1+UT9B9L+6XPPxRfs316Vc5q5mD/psUNHvChnJXLX35BFGU30YN oigV1CCKUkENoigi1v4DqOOxbTCuOgwAAAAASUVORK5CYII=</item> <item item-id="56">iVBORw0KGgoAAAANSUhEUgAAAHgAAAAYCAYAAAAxkDmIAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKHSURBVGhD7ZaBrYQgDIady4Gcx2lY xmF4LaDQ8oNgcndPwpeY3GmBtn9bXexkaKbAgzMFHpwp8OBMgQdnCjw4FYGN3fcj/NYYuy2L XcK1mXCbMFu876+NrN0TsWZJF72OcvxlDruvZL/u9CtH5E1teOxrfHZdqy3Kk1AU2G0KnWFH T9Hi4cKnY7ercyLaeXhtm2P/l4b4M5KCADl14ib33f9rQ9UYlX0QBYFDtdFGmeNmVwIFW20Y RF4TY05GPREvoDV+AG4avz7NEykc7YxRTULQc2FfAQtMG2ym3XFZcRFf3aFjO5x6G6X4NTWB 0/tsV8uV2dqnIBCYD/QjSAhUxDuI4wvO80iBBn78NOSmDFc7718849PU4pdggYnzleY2oZwg m4u755JcYDpsuxT1AlQ7j527cwgmP4r/WBc++1wMXgkI8TGDrl5nbuOPFAVmrkLV3y2KzkmY CWw2eYBPSPnQ+rgI0yA4n+euvfoRB72f0qOrCfwQPeOy7F/I09kMj/OdIwUW3RsInYFEYIdr 4qTO4EJJBT6Do+upSFxIXxT4Ln5NSWDOTdqVLlcwjr7xzAiBcXWEUao31qOCCmFPgs2DR6Na dnBvdWr4zK+N6Jv4EVhgn5c8V6CLO8czkwhMm5aCcyM2Sb77r5MTHXKBgL3cfbKNTp4CS6Gf 0V/dj7mJvwTuTNBAvD+I5UkDXAKfya9epEDRzqkTnBX3PNk6F0BqLxNU7TRQCfrb4VPU43cW uWBcfMJeC6XyBsR1e8D7dbKPrO/iA+PcOEGBcC1w0h8uHZ5/I/BZ5d1C6fcS/Z9iR34qcBzD PLKSMdU4ivC4/M6ofgs/7uDJp5kCD84UeHCmwENj7R+c4e95bqn1igAAAABJRU5ErkJg gg==</item> <item item-id="57">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAVCAYAAAD/wUjgAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFJSURBVFhH7ZaLEcIgDECZi4GYwxGY hmU6TCT8CdDaguJxvDtOqZYmjxRgsMnYQghbCGELIWwhBCJEgWAMhHLdadg4mGu98SgRxzKN SzjsD9l1Lo9UyAGS2x/mCsE4hFbiepKPiemQwItxbM7ptbxCqjf9GCVBT1SCm6jeoCq5YeXQ YQcI8ZUVZ3U0puSHCikrw3MqJHv3egN6TDv4W4Tczse7EMJJ+V5TLGC03c0MY/KLYA8uNx8H LqA1GkL+Zbd5NilVksn2k1aTUhXiLc4WgjvMsBgSIUhLSvOVsdvdxFdGnxGyYHVsskcOEYLU pHywqH5v92hCDky2dcZREYJQKVGIu8E+3FaGPxSdBzR2282fmbSistxzw4JL+5GiasN/8hOx aeb6JhCEsFfu5qq/KiZLTDZN+JP+qgQhTz5XhKXJ4fc7/fUAeAOMMI4FuBemLQAAAABJRU5E rkJggg==</item> <item item-id="58">iVBORw0KGgoAAAANSUhEUgAAAekAAAAtCAYAAACKwJOBAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAgNSURBVHhe7Z2JkaswDIZT1xaUeqiG ZlIMa/kItgEfYGyJ/N8MMy+bA1n6JfnI7nstAAAAAGAJmjQAAADAFDRpAAAAgClo0gAAAABT 0KQBAAAApqBJs2Ne3q/X8rLXe7Y//pJ7fg/znrLXgq7M7+X1Ny0f+/AYxBBEfKblz6sFr6w4 oCGJoEmz4rNMf2+VSvbR9Bc1Ykqy+Pn18T5rU0dycsPGJtukEUOwxdUHd6W1AQ1JBU2aE/O0 TEG1pqatEstl1ecTFXNKvL/oPTvYGTeSkxfz+71MVGhLVtKIIQhQuV8rBmhIJGjSzJnfXpOO oaQryTgkJz/mt46HXg2hSYNa6JhE6aFqZQwNiQRNmjVmJb2bVJRwRWeZim9y2pU5JTcydSDr Kqi+SSOGwNOAu0q0AA2JBE2aMweNODyLyp1JK2xyvtzWuJ6FF2yTg1ugbW4Xs9omjRiCkLXh ZvstNCQSNGnGzO90Arlm/ZfLsu8M2n+M5ByC8v3kFdPT292IIfBIHos5oCGRoEkzhYp3dmZs Z9FBk7aJGCTsbnIWzLwb8Zmm/Gp/KPMydapUuphSfHauOD6IoST6aWgXWhXv6AUaksS+htCk OaISLm68/urLh4p+NskGJidNNrIrfQaMsvPaShox5MRQP6magTognz0/oUlzQ58ThSusw3Nn SjLOBV7d5y0oMT/Tu/vWH/smLSyGoxmhIa0FaOgxxBpCk2aELtgqaTaXy6K4gZckpmrv7o8Y 6C+JzCYxv49vyx3aii/4UhsrlK+KfNqOsiaNGMqhg4ZsczXxVxfqwMMINfRt0tuzMudYP7jq un3adT+/NNZhUCG52X/t40gF5c6CJYwOMbwKv1yGhgKgoROEGgpX0t8ZmjPS8UDh/dJYB9Dt DKpxHLvZLQAxvmCWy9DQCjR0Dt9v2+1ua6zvWHoD88nQOW4dKwU3DvivQGM/OutKPXeSlnGk I4XOW9486RzDq3CqW1UaenKdgIZO42lo90yaDPueU6gX+0aPwQR0O8u5zn1jlZ98bhvIF2ks 2sB/X2ib6Gj2abaQWgu/WRwpOW7Q2SgkxfAqzTRwlSoN8a8T0NAAPA0dfHHMNUV17XqxkYP1 zOUoiL24a6zymzShE9RbFYTJaX0XO+cwrsaX2tf6Iv+0StZGcWShybaIieFl39+VyxE5O6vG IaNOiNCQbmz2M09/UAcNldjp+e6gSRPWkZsPWQfRxtD6pHQzu8Or2rA7xioj+XKYmeU6jjA5 jd82s81UkdLPOX820tKXBnGsKrAyEBHDC/UghEHdqtKQjDrBXkP0ee7N9rPPr4Jv1FCpnfo5 47vESloFxApya5Ax9rShX8gZV5PyKu3GemXysPv6DlcW7ZeD5LQi2wxLv6ckOYlWWmoUx6Mx WTjGOIuYGF6tB400kCVjJzRk6KihzzyrT1jRk4ri7wX43KuhYjs9/+xGx/+b0UZQa3AMvqF2 1kFXfDM10PRgxjfpZmPdYINtH4nACiMoElGiBcl5lIT6cw7imkzOGv+GNItjynYJCI6hee95 39+XyzEZO6s0xLBOiNaQhWw68d5+GrIc2en5btOkA+drrCHBD31Dw4EFKAPCz4rJiP0A47zE lb7pl6Zj3cAw+U5hfOLG7/uM/r0VseJ0ctb4d6VpHFO2i4V/DA3n6gHRVANZMnZWaUhKnZCi IQPZVLvd3VdDhkM7Pd8FTVo7O7RSY4Lg7507Q0ODN9zUpFvQfKwb6PVPaNLOJ2Ys9G/tg02S +YQJHXCYnLX+NTSPo7bvGXHz4RzDlXP1oLkGsmTsrNIQ2SJDbzI0RKj7Vq5s+2uISNjpacg2 aXNDMkZf3p2dkd9Lf6j/+lBgyVXuZkSlSenu10LM7caaht7Xwl4m2KRa/ZOKm/HZvoBjf5b4 1yR7+Lz/PnW1iuPJbTIRDIhhu3pwrwaa1q0qDZFNCT1yg72G6PVH/uSkoZSdCk9DBd8Y2GN1 vjZsPwr6RkdPGTJiZ0HhWH8EEm6JC+h16+wzRbl/r/3nBWX3KbdbLiNjmCZfD3poIE/aTmho pbeGSuzioKGcnb7fLjdpI1j374iHNenkWH+E0uRULyz7n3mK/UuvS8w8s5Td5+oZkwTGxTBH rh700UCetJ3QkEdPDal+E0wIdvsPAw0V2Olr6FST1jMIZZzZ6jBG68dxMFJNOto2qR5oJ4rH 2gV7/917G8Hc7c/i5NS25pOhzL/082uFr+w+yodD4up4cgwzZOtBLw1kyNo5QkN2LLv3vUdT 3DRE9rgxrld83/EaKrMz1NDJlTToj5dsG0GEieCE0CohT6MKGv4/6VIovnEM88XtdoTFcDT9 NSSgLkBDVcQaQpMWhk60OBnnKSoMdoY3vEtvBceW0YVEzcrDu1PxvTbrb4WYGI5moIa41wVo qJAdDaFJC2M3GXfQ2zIMmrQpDDyazSEqMcrOzTpCNrGIHyEghqMZrCH+dQEaynKgITRpYZQl o5kxs6nxoA6OkwbAGtSF54ImLYyiZESRF4uOrztj5HAmDUSAuvBc0KSFUZKMv/ArIE/HNeun /74taAPqwnNBkxZGLhnpeWxnPQGzNYkmDUpAXXguaNLCSCZj/Evyn2mZkJhioS/5oLCCElAX nguatDD0tzP3klEl4nqWiTNN8eD8EFSAuvBc0KTF4P3RAn2t50t6Fh08Zy8sw+QQF1M0aFAE 6sLTQZMGAAAAmIImDQAAADAFTRoAAABgCpo0AAAAwBQ0aQAAAIAly/IPg4pgHmLwyGEAAAAA SUVORK5CYII=</item> <item item-id="59">iVBORw0KGgoAAAANSUhEUgAAARgAAAAdCAYAAABxNHOLAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAS0SURBVHhe7ZoJkptADEV9Lh+I83Aa LuPDkF6hF7WkXohnkv+qqEwMSC3p8wGXXycAADwEDAYA8BgwGADAY8BgAACP0W0wn/19vl6v 5vbeP+FIAMD/zpDBbMf1n/P92s743/PYYDAAgIsBg9lvQykNxvy1w2AAAIG572AqgwEAgBsY DADgMWAwAIDHgMEAAB4DBgMAeAwYDADgMS6DObbyR3PROI5zSz8PP4Ipf3D3nd+/2LVRBvc5 97dZ13s3f80yGOvYyHPSvl2/J0pxpn33Nfa7n3xuPWHuNaa9HY9HkepN1o6Um99P/zj0fca0 0v5hCA2M5OI0M1+bZq72mLEHifwJ5hJ3GcxeZAsavhI7PLLopGHTBjMaK5xXnpOt2R8jCYYe uISd192bGFOOFeul5j8Sj8aZy3Wyz9k2GSm3Pb/cn64/1lRs12yk/aOEuFmcgVysZmZrs/u5 3iU4b+j3gPoVKZhMOnCbeFRMz5A3hsI1a1oknt5Yx7ade3WOfxLK+ljd4UxdKxp97IUQfG7+ aSiIkTpmKF4D6rW6ebMwSLk/n6R/FltHciEcRx3X5Lv0Le0fhNRAdy5BM7O1Sb0roWYnQH4H 450sJFrQ7NXYO6C0pq8ZjOmXFUR1DnUHKD+z4gl3mZFrlyN/aqjxryx68UjxmrgaizzhpqYN x+a2sYRAx8ZcRAZpv0hLAwRsLo1mCqZqU/TO1aQdlKHxJW+4S7TuaF9FcNnAdwzmfgKpzqEu LFdLvLCSnsdtWe+JO2GGX8d7392/Pj9nNlI8BtcH6qLRxmNy2zjinEyt7DHSfglGAxVCLlEz JRO1qXpncLPS34gaBmPxhaw2GH+nZDYpH9n0mm8YjH0sjuvqN5iU22yWtF8Sj1ubMRhzjE8X 8zf6rBUjSdBV1Rv5puFo5Hb9tnHdxujD5GKffqX9AqwGShRr6TKYwdrUvXMw+QmYJxiTyBW4 SOSL8M2QmqAYbgeqWEb4e7Ko6hxKLO5u0O7v8GtIgfjIT62Nmf30K0So+xa1RtgeKXe8WFoX 2tQrhISkgYKhuTCama1N6p3HGwx/zA1pMOlCet/Nn8Y3QV6PNNweNLG4JzMnBieMYsDUZylW YJMGY9cuhqCEHIRUnquK14V/WtIIVpebi2dqYuco7ecRNZChyNWlmRW1aWZh4ph6hg2mHqIP uOpV6V9+RUqpz/HDS8sT45pap9puzs+EYMSZ3mFv/IyzXJSQ1fH0qHvbkdtqjOxbGaNE2t8J W5sqV4dmFtXW7N0FoRWGzGDc4okz3ecm6Mrmj2MLZO76AWdkGuEqGIlFCsEM+f5MGJS9wGfW b3NZw862tjH7Gd/7Xc3p4jrjyfiLRxWjJzfTt9lXiF6aZmBQ51JqZkltGs3ZYzrmHgwmDjts SQXRXK5tRvSLsOJvm50fwr3mGdFwsULPGv1oiSvtZyYUN7gk10Sfq5nF7UpIr92ZSnWsJl4H SZ30DPO1iblL82n2zcyS7am0v5+WBtq56Lk0NXMxWJu6dzduLR1zb3zJ+9MxDZsyDgBAP/a6 63tq/aUGY3B3QpgMAH8Hay76714iv9dgHP2OCgDoZfw6++UGAwD4ycBgAAAPcZ5/AM5bFECB a3oIAAAAAElFTkSuQmCC</item> <item item-id="60">iVBORw0KGgoAAAANSUhEUgAAAEAAAAAVCAYAAAD2KuiaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAETSURBVFhH7ZYBDsUQDIady4Gcx2l2 GYfpm2KULntvGC/2J7Ig0/q0RcDiegH477J6AfjvsioBGA1SCFCb7z8koyWI3a5ttbY35dY5 mtRg3AQZl9pMAgAdU+BMbqBa2Gf3YUBLOjZBCpROIZBwanfFALCRkYO9AcA5HE+sUuiohD0a o7ixX0UAMJC9xqcACf+gBmlw7ON881YUgP/JFohvjRcFJ29XC3UGEPywBY/TnBHQwodkjXBI HITxANBe7xpwDqEaQHUKMAUK3wSdbgHrUwphfARYkWuv5zughHADQONr0Ov6JejtHqDyflQR lRlcMofjqRBAZf79kU4AtD3dmRUB4HXkwuLR/B+sMgIW0+IAAD6YwppMfqlG+gAAAABJRU5E rkJggg==</item> <item item-id="61">iVBORw0KGgoAAAANSUhEUgAAAEUAAAAXCAYAAABdy4LVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE7SURBVFhH7ZfZEcMgDESpi4Koh2po hmIUCGAbS9gSPkhmeDN8JJHl9epIomCCmKYQTFMIpikE0xSCxRRnFCi1PQZc+gTM9n3jRLGj uKKx7hRvQVcJCh6s1mB9fhmRxI6iUyMen5xIb67wVgNZdEnsKDo0kjslXqRUdtKZKuEeSewx sXpUVa8j1dhYtEVgOKdl58amWR7TRTKNDVMiOYD1FJJYHnhR7o74XnyNB50S2ji0WhRwnEcS OwqZRtIUZ9bNnCrWnnN+bKzUGvsmUo3IFLyZ223Hjy0zzTflrvHp0ViZ8t3SxM3S9sZfa9zY xPud0qsxm1JcwlUoCZYTZtOwY23IXDgzpWhojyofyfNgjY1F+wTvd4qcaQrBNIVgmkIwxJQ7 luiTJI3Pm7L8ff/VX7uBncYXO+VfAPgAjFbbGALR0qUAAAAASUVORK5CYII=</item> <item item-id="62">iVBORw0KGgoAAAANSUhEUgAAAGsAAAAVCAYAAABBlxC9AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAH1SURBVGhD7ZgNkoMgDIU5lzfoRTzH HoHTeBkPw5KAyE+QpKKuO3wztrXF8JqXxE6VGbyGYdaLGGa9iGHWixhmvQhv1mr0pIxStWMy enUrUxYzq9k+HuFjT9q+4rPMmYZ53yX97GM+TQ3Xwdcp1VjmLe2sZbZBS2NWPZdm4dqWADDT ixWahazaTPbaiagUSER4H9fVCuoGuDrZ0HljmVVCdZSrhKiwAquevjMLoDRBcvKNMGHPdRhb ZwE/bw2zbCBdRqGrxVVDd7P8l9mvh3O6oHAfZnLkY6kFX2cKP28Ns2ygIgoEz0W4DWvz+ZxZ Fj9mUIrVWB0rT3cXV2dAljfCrPhie+Rm4RoiIbHQjNNmWfBmbSv12Ix6ldZIfwQQhySYhacz QpA3cWdhgAfM2uIfV6szS35D7whLZ0Q/s+zcze5Zj5nljaDi7/wBs1o6fZ5Cx/Yzi+ChMSgx 63hNSu8xKNZwqVkohlhzsKmb4zeYhRqY94rL6GdWnjdv1vZzNjoOdoMg5aiJY2wJc8L3uFQh bGvqSXajN4pT0YbrmlnadPY3laszhZ+3tLPYQLBWB8og/yURAZqe7qprCWapn9S31rlr316G QXWdSbSrRFYhvxh0AIyIzeCcO3pUMxh1xvT/31Ebwaxvngf3ouLEw2vJ+eBOjPkFoX45fwhb lskAAAAASUVORK5CYII=</item> <item item-id="63">iVBORw0KGgoAAAANSUhEUgAAADEAAAAXCAYAAACiaac3AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEaSURBVFhH7ZXBEYMgEEVpxCq8UYFF eOZoDZZANTRDMRtYQRdEDYkayHh4M2IA/18+GwYwQu08JkrhMVEKhya0bIAxhgiVnvNr9k2o 1ohvQeG4B1GoEWJiAMmpyHhssKZ4B3peczUJDQmIiajSugPOGpDa/77xLmD66HJ63/Le6TsT 02SffRQRRMlzZ6QSmvC9L5TBpWI5CawyEXiCCSWoiASiT66biTUZ7J5cDviMTcfskWciseml xN/DMdVki2p07i/IvRMnE2taNRYXrc0Fic6Ax5fRnc6Ok4/PMufQhCFwfueldmSboLee5C7v H9vvETeET4k0HcapBvBkSIHcuC4ThrjF2ufqTAQRc/ejQhNrHhOl8AcmRngBlK1jguOiMrAA AAAASUVORK5CYII=</item> <item item-id="64">iVBORw0KGgoAAAANSUhEUgAAAD8AAAAXCAYAAAC8oJeEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGkSURBVFhH7VXbFYIwDO0iTuEfEziE 33w6AyMwDcswTEz6Imki+IDKET/ukaZpe29eOoAOjoq/+KPiL/6oyOKH1oFzDO01O8m9MwzR PvanbG+H6dIaUHwzryu03M50lJCZHy/Q4IGmvwknAj0m7MNZPVg7AIkvT0jADfrmBP3IbRq6 7L2o4iA9IiJIlxdi6VxzgTH7VIKRMKrIZxJh9HwQNgkxougffMImEO9VWfocof3i25gEq3It 2AMvRtNHz7pMlHzCl0rfIwV2rseZT0ysLR7hBwpmvLEytYJ4PbAKzAwqG3HQPTjHZ5avFPR7 KN7qpQxLPK8Wbq8Cyiry8bwMDp4b50uBQl/hJDCTSau/LVslDO30bqioIjEUFDGMYwtkB4W5 Mg6H+Z4vpRem/Vplrye7Lv9U5pPPR+IRIpoLvhtBi2J25FP2+OQzIz4dXsoC91sWHh9Ug/Id pLs0P8WdEvR62f8QyoEX11m86/AzbW6w/jbKvzr6RoaBKCe79nofYK0S2wQZBrJb/u4VjhOk 77XX6XuPEOK9YeX1noFM7Y3fRwd3U+MRt+CdCzQAAAAASUVORK5CYII=</item> <item item-id="65">iVBORw0KGgoAAAANSUhEUgAAADQAAAAVCAYAAAAJiM14AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADMSURBVFhH7ZbtDYQgDIY7FwMxT6dh GYaplY+jRzhJ6EnQ8Cb8AKWvT1tRoJdpA62uDbS6ukAeDQFAGNalxQka9b0GcpYDWorxHNlZ UApfAeQJjdxYz1mnkUG+cqd0vgKoyoRHMmAIZZTW2r+l9E1AESb3bCj3V9mzJrSd0rdUKGRB bBoM7KxMTGP0nmoqUH3PHVL6/gYK88e+Q6waqHHahG9D57RRt9ygb9YFEOss/yfQhAMhS+Fb gFJmYiZLD7/rT+GB2kCrawOtLaIDowr6eSg8DLoAAAAASUVORK5CYII=</item> <item item-id="66">iVBORw0KGgoAAAANSUhEUgAAADsAAAAVCAYAAAD4g5b1AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAD1SURBVFhH7ZUBDoMgDAB5Vx/Ee3gN n+ExXSmgVIjDwcjCuMREQcVrS1X4R2zZVdmyq3LIWq1QqezQNs5c5zSmGWfgGM9un4BDA7Qu GDprR2bWGQT6cDDlK7ywGLc6E7eopwmHtTjIXbIelgAUvj4IwiREVgz55x4u3gNXVbdsFDlf 5K8r8rWAXMe+yCBZIpYzZ44yVpS1KOHEzFIeKUtwU6KMQiFFfChbNMHr8SBSQ2VTdmvNqiqb V8MExsreZWqpPcvclWXZjVsW/90yfrcHxa9mbnPyhJ4yQJaj1hDx/L55oiGw5/e1b52bzK7H ll2VLbsmiC80/zh2ICsmiAAAAABJRU5ErkJggg==</item> <item item-id="67">iVBORw0KGgoAAAANSUhEUgAAADAAAAAVCAYAAAAAY20CAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADxSURBVFhH7ZXBEYUgDAXTiFV4swKL 8MzRGiyBamiGYvLBAAKKHx0VneGwBwHlrYkIiBN+mSpQmipQmh2BARkAMrE19zCyxy6RJSEw Iu8A4Q0CJnwqiydAod2iHevHyatA1DKnBWz1WhSb8yf4L0DhdZkItXl0k2DePBuCh9yOy7K0 NkCDXPoViC1XAnSDW59JIL5FzsswWWxoPUbPbXMEXnAaxdlmTNckFzlr4rMC+lryJijfEa5s oUBgHlO5kouia9tzl50sR1gJmI9ZyS8C3s8rhN48VcGO7YnccIwqwv0BOz7O457AN6kCpakC ZZnwB4whzcHnfrroAAAAAElFTkSuQmCC</item> <item item-id="68">iVBORw0KGgoAAAANSUhEUgAAADEAAAAVCAYAAADvoQY8AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADTSURBVFhH7ZSBDcMgDASZywMxD9Ow jIdxcA0KVA0xDUJuxUlEAQX4h3cc/QHbhBW2CSu0JjAQOEc+5v5SIvm0t8ttRMNpIhsYXWAO bMCnp4ABko6zf4eNm0AkzK8CmwIK7eAlhuJUwToGRFyYQApQ8qk/kSmwBghvN9Pno4laePTc 7+dTvuk05alKLZR5U2tC/horI1bMgDICahPaBecgcZ5n4jXWr4tZcarhNbXTbkzkAv9CxCNY x0BxtyYSbXEtilH0zZ7u0d/pR9kmrLBN2IDoAIeZPGm6kYxQAAAAAElFTkSuQmCC</item> <item item-id="69">iVBORw0KGgoAAAANSUhEUgAAAFUAAAAcCAYAAAAQovP+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHmSURBVGhD7ZfNlYMgEIBpJFV4s4IU kbNHa7AEq7EZi2GZgQkDokCE5O17c/h2wZ9RPoaRKK0XLbRFpHZApHZApHZApN5lG7RSyjK9 8JhIvcVLT04kto3YaROp99hnvbP+NonUpuzrQ5Z/O2a9jlJT+7A/9WjEjussUltCJUCktgS2 V16q3Q7E+y1PdH58Bl+9/ri61e251/ExA93Y4esen7dAjIde90NN9UU3dTMEPw/aCzahXaRm 4uPmftAbu5YccNlKWaFw/Ch1GvSEYv1FxG+kWnAAHVdIOr5NsmDMIDnzHgmpcAPNHs2QJS+V Mj28rwV5qfDOiefCV7lgMpLx8YseJVfqWMSJVNN2WwReX/NS+5GXCkRiC4UCyfjB0ifCEpDi XKoBH2QCwN6L+jVS4WebrzkJDh/Ec8qkAk5shVDga1IBEgNBaqW2pFwqYAZeIRQolupW8C2p vE6u/0Jqw0xFgS1rKsfNDmVscO6C7y9/J5T6FWLT8W1C8TGXvEck9WLZ4FKok9oSnKDLwURC iUKxp/GDLRQ8I+/gLRVngGVR6ka45jqgLxWHwX2MHYh/t+ulV08+PndTklRRpgoteEtVi2ny E5V9wYNSQRCX9Emf2oLxgX+clLv/BYviQqB9py8Ai/4Djq211IIaBxwAAAAASUVORK5C YII=</item> <item item-id="70">iVBORw0KGgoAAAANSUhEUgAAACUAAAAVCAYAAADB5CeuAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEjSURBVEhL7ZTtEcMgCIady4Gcx2lc JsNQBEQ0NLF3/frhe0erYvABSQL8oTbUqjbUqlyoI0cIIailgosl8T+pQGrrH9AEdUCOFSTh sV0lGTjSF6G4QhHyIQtWWKnoOt4vA8XZh0+l/4I6FFZivKIrcQIx2t5rV95aoMXq82q92q0F jF8OV6jW3CeoI0OUgPwgNryMaS/5xyuvsTqQ8UmsVORWyMRPReHxqVJ+30g2jViD85ReBM0G 96aMvyiJORudMcWwyXUo2RSiBBx0DWWzrONh3Y2HcqF4bhpdMrYbVTdQ6s+9SlUEO35eVKtQ GGXsF9UdFEquyn3OVgv3Pb8+F4o1f9HJNLDTpKQK4FXF7kcjiilGYaA2d6F+rQ21qg21JoAH 1wTGnJA7idYAAAAASUVORK5CYII=</item> <item item-id="71">iVBORw0KGgoAAAANSUhEUgAAAIwAAAAVCAYAAACUqQa1AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJJSURBVGhD7ZiBkYQgDEWty4Ksh2ps xmI4CLggCSSsgZ254c0wdxtXSX6+0bvNLhYdLMMsuliGWXSxDLPoYhlm0cXHMOex2W3L1nHG I+Wxw57nEX7G409Oe1SP3VzW7O5au3G/3UjO0yTmkNf8WLs1KbmMb+vj6epBjCe0dafjzwlz Gbu7hHZCKZ/wJ14zTNNINz6RWHgpKOxfa9QgIGe852UOnMfb+iRIe5AzSncijh9JlID+xMzt 8BmJQTkyODo/9eYyOy0oJMkVr0jFMBil+iRIevBhsO5FnHiHKceW/1wKelpTKEy7P7i6V1A4 RoozANQcV6/Be2vWxyPpQWCG7nmcfukFV8UNnaDkGHzgE8Sm+oxAWE/3NgUVTJl03fZiQYZx eSPRlOuTIOrBJN2zeFVR79zNuZprHACi1zb65g4MRVPn3SRB2osFci/OKzdWr08G24Npuqd4 XdG4KT9dYhIDEpfs/RoQvT1h9OsTwvRgnu4p3rgFk6s45iU+AGQY/A6jX5+Udg/m6a5smHmj MYEeI5XFggxDoF6fFEaHabqnuI5h4LuE6I3Ew/O5kjicRwiRQZmDWiwSw2jXJ4brwSTdszip aBh1mfAC1/hE8CiLfx7Cde5Eggjp+rhg2F+w5zvy3OJq7KlZX/pO/aaQ9mCG7nlccAtKqbi9 G3+dupC/Q6u+BPnf5G5G6/6MKxrGAaPrTfI+Oelj8Ae8ri/HTwGlG2OY7jiuaxig5lSOb8+b jUae3iy600pfdzo+wDCL/8wyzKIDa/8A9TPWSt9E97gAAAAASUVORK5CYII=</item> <item item-id="72">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAVCAYAAADo49gpAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGnSURBVFhH7ZZbkoQgDEVdFwtyPa7G zbgYJonYPPoSIK01PTWcKj4kmsclgIufmJjCGZnCGZnCGZnCGXkJt6+LX5ZkrHuwlLbVR8vF 7lc4Hzk29/IRXbe/uxtLnSj3vOOOzTsyuu0IExF2iubJkAWBZO+wWIl4EtN55PoxRuqs5P6+ VeXFohAOlKxMBHXM4TeXdlX5THAMt5ElIIU0xL+brjrruYMz7nw5FsbPuCNwF3Z0FJiT7ZBl +DQddSq548tBjKF4UhhuURGoFPQULTsnZGXLbirEZSSm3nXRrz66adWp5F6NIgclrUC1GOiU SJNheoWDczlIJDRGUOu0CHcJgLuNzXzTGIUr3xHOhGrxHkOrU8ldWR69A7qFk+eOs+O3hNPq VHI3C4fbmCiFC4dw6kdET29VoRGPQNsSjTG0uPXc7cKJvewa4k04gkV+CVXxK9+BhUhAIqEx RqPOSu4wyrkNk2QqXvHvSLjm5dsoROoTuRN7Nftn6K0T5T66PAWVrhuG/ejd9m18KByBDtAh GlvlS/lcOMHaMX+v0y5uEu7/MYUz4f0Pg5MrFwnB4W4AAAAASUVORK5CYII=</item> <item item-id="73">iVBORw0KGgoAAAANSUhEUgAAAI0AAAAVCAYAAAB7a22LAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALzSURBVGhD7VaJrcMgDO1cGSjzME2W yTD5+ArGGBJaenyJJyE1xfh4fjh5HBMTnZiimejGFM1EN6ZoJroxRTPRjVM02/o4Hg+11o13 7N56pJ0PYQ/HonOLS6VXB5+7ZfsUtmMd7h98XnG8H2GJPCwh/noFV/n7ueSThkleQpkKCMf7 /90gwS5HFlpE1OrWtvYJrBtE+FD/mPOVYFLc10TDwrvKH7nO+S9fT5i406T3MN/EHpYyF0FD 4CfY5m2pD/Xv3WpqrOcfuekWjfF3N3+0S7k53zR29MFzpXEZRLlXN+Uu+EZVibkR7x+Jxp/k xME40Rh/HfljPDb0P4S1szh5vvFakhxasb1JVHybSR0IERot7Zt8yZ4WYn4ma5TkGC9VeTad o/j12NRMezH50pwrvxz9onH8GdFk3CXSCGhLOfiiiUAHkQw9lnrgNS9bNikL/ia5Fo0pWhEp OaSmqcZowuC3OreHwDVTo1MO3HixtT5M4yG/y9iA2reMtVPoF02E9Weet9UKVyNNqapoxGGr aW/FjfgkGi4U7U3RmhQWoV3on+0KIXvN1D717wgU6ekjCmXlprZigyXW8U3RmNeWC7KBnOui Ucr6DnicNoihSUJku8RrkqBxLZLZFhvKRfvNTORl/nELxMHCjb+z/xuxvy0aEbEXJ+EDonn5 9RRBZFZGJhcstzVrmECThPtOYyzQTp+xHCheiqby6ytOmHPKAK5i1/YL/wkjRQPPTa4Rqe4f njQEEp8vhlx4lG9GfkaS+R4BxGbJxAjKFcQkMfIZ5TNrlm0CwBVaIzY9xNydhnn+GcjLQNEA 9OQugLa054qGVAcOeHlZFygJHgZuRFq1GyHCKReVYPalLiav+B8hdfE6G6V96XzA3uOgEpuR hKqhY4tPW6PHhdjYPEwtxkfe9/ws7nHOjUkz8VlAo2uX4TnsYR3kD3JLIpqi+SXgxBslnNrE 6wVNLT0Yp2h+Dvmtfg4gmBHi83OZopnoxhTNRCeO4w8f1gV8m77zlgAAAABJRU5ErkJg gg==</item> <item item-id="74" content-encoding="gzip">H4sIAAAAAAAA/2xTzW7TQBCetZ04dpPmh7QkhRCSlFCHH0FPXJCWqoIeEEg9pXAoTuK2qVQS 3AX1mCfgFbjwCIg7Qlx5Bl4EhZnZSeiha431zew338yOdvMAoNBitJCxi/9c8mE/OR5P3ntA awctGE2GNuZy7AXRzoavB6fJ0HAE3nG+g//s+cl0Z3Jhw2/QfAzsL4lv0fpofwKAKVb/Ff73 aT11bVMOOC6DyrL4M2PS8eCjSSxzD60Il5en99qXfQcyLOGZNElqHNJohSnDrNb1HwCzjK/1 FwQ6mxPgBwJyoYBgRWsHixns1lHqCeSt/836j1DUMmfBqtbUli5QexbPClywpHX4E71cWWvv L1JKFasyKgO4Tr8P16z/tUyqpwBVrSu/MaO0JsQqbRzAutaf8RCzKlyXjHVSMI+5Tk1a8evS fW1DQP2GpX/akLZvWv/7woeG5NZvyTEaKNiUYzRY/rZ4dqAtSci2pUarI6C9KU13SHwAd2Rk nUWtrqS270qtLuptiXqX1SMZWasnI4vuiWiPVAzcl/P3ZGIPxI+W83jIt7I42j48TuPpyeHR JD2LTYblO3S5Obwbm9hemq3l5cHlyhOhk68xJi+ML8bnz1nHPgisDq+UcO2a4weqd3X05RXR hbhv0niYbO86dgBCbKoSqEjNCSkV4ea8qRwVuZjaVK6KvDlFPOTAHEEGOTONW1niUJbPHAQ5 4hA5IB1KD5HD6SvI4fQ8cji9wLUQrDIHQZE4RJbm/wEAAP//AwAo3/0bRgQAAA==</item> <item item-id="75">iVBORw0KGgoAAAANSUhEUgAAARgAAADlCAYAAACI9ej/AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA0cSURBVHhe7d2LlaLMFkDhjsuAjMdo TMZgHB7iIOyjKFW8an+zuMu2/e07RdVuUEf/7pKUiYGRlI2BkZSNgZGUjYGRlI2BkZSNgZGU jYGRlI2BkZSNgZGUjYGRlI2BkZSNgZGUjYGRlI2BkZSNgZGUzeEC8/f35+b2w7aduVP9z+i6 NbYUDhkYjVVT5nFJfZsclw3MYQMTMDDMwLDNjctG5q+BCRgYZmCYgWEGJmBgmIFh9bhsZsps aO4amICBYQaGGRhmYAIGhhkYtplx2di8NTABA8MMDDMwzMAEDAwzMGwT47LBOWtgAgaGGRhm YJiBCRgYZmDYJqaLgdkPA8MMDFt9umx0vhqYgIFhBoatPi4GZl8MDDMwbNVx2fBcNTABA8MM DDMwzMAEDAwzMGP1VFltXDY+Tw1MwMAwAzNmYGIGJmBgmIFhq4zLDuaogQkYGGZgmIFhBiZg YJiBYYuPy07mp4EJGBhmYF5108TAMAMTMDDMwPzXnyIGhhmYgIFhBoYtOi47mpsGJmBgmIFh BoYZmICBYQaGLTYuO5uXBiZgYJiBYQaGGZiAgWEGpjWcHouMyw7npIEJGBhmYFoGZhoDEzAw zMCw7OOy0/loYAIGhhkYZmCYgQkYGGZgWNZx2fFcNDABA8MMDK93A8MMTMDAMAPD693AMAMT MDDMwLBs47LzeWhgAgaGGRhmYJiBCRgYZmBYlnE5wBw0MAEDw0oOTD0lomlhYJiBCRgY5hEM Sz4uB5l/BiZgYJiBYQaGGZiAgWEGhiUdlwPNPQMTMDDMwDADwwxMwMCwUgPzaTokG5eDzTsD EzAwzCMYZmCYgQkYGGZgWJJxOeCcMzABA8MMDDMwzMAEDAwzMMzAMAMTMDCsxMBMmQqzx+Wg 883ABAwM8wiGGRhmYAIGhhkYNmtcDjzXDEzAwDADwwwMMzABA8MMDPt5XA4+zwxMwMCwkgLz zRQwMMzABAwMMzDsp3EpYI4ZmICBYSUF5hsGhhmYgIFhBoZ9PS6FzC8DEzAwzMAwA8MMTMDA MAPDDAwzMAEDw0oIzC+7/qtxKWhuGZiAgWEewTADw4oNzO1yav7yzXa63G+P6zsGhhkYNnlc CptXhQbmej+fr4/LzMAwA8MMDCszMNfL/TI8ZBkwMMzAsEnjUuCcWiww13O1C6of1m2nxwp/ ub46qph6u9/d7pfT437g1KhTf19j1ag9Lh3PnF0+aVwKnFOp1tG0e7me24U9CEQdj5erpt5u pjZaJzyaaX6+f/yT6E81oXpfFfRn0cDUmnj0FnX1NUZj6u1mah7shTtONTBHU08ajX0cl0Ln 0/KBqTRHDvXpye1yP72pxtTbzVLft88iTWZg2NtxKXgurRKY5+Mgbx4DaU253fV+Dk5zJgni ZWDYUQMzd3cbGLZuYKof/v7AZOrtfnc9x4/BaOyIgUmxqw0MWyUw3aJuX+wWH31Mvd1X6iOW 6i9d/8XfhcvAsCMGJoVwXAqfR4sHpo5Ff1E/H2d5fN2ZervqO/NOkQIGhhkYZmDYooGpI9G9 ruWpO6Lo1WTq7dq4VNcZmMUYGIbj4hxaKjC9F7dV2/9GdIF4bKfz/Tzpdr0jmSY8BmYp1eg/ Lh1Dqt2M4+IcSraO1htJA7MoA8NG4+L8aRiYgIFhRwtMKgaGGZiAgWEGhr2Mi3PnycAEDAw7 SmBS714Dww4SmPO9/9xSCgaGGRj2HBfnzYv9BqYJS7Vbq+3lmetEDAw7SmBSMzBs/0cwmRgY ZmCYgWEGJmBgmIFhzbg4Z0YMTMDAsL0HJtduNTDMwAQMDDMwAecLMjABA8M8RQo4X1D+wNQ/ YI1tJgPDDAyo5orjwjyCCRgY5kICBiZkYAIGhu1xIWXdlY87NzDMwAQMDHMhDRiYtwxMwMAw F1JPb444LszABAwMcyH1GJiPDEzAwDAX0sNgfjguzMAEDAzb00LKugsNzCQGJmBgmAvpwcBM slhgmo8dqX5Ysz3ftLv3Zt7BR5eMPl1gCN5watJ/94GBYdWeelwqGMwNx4UtFphG84H2gzeH qgJxhhg0H7Y2fKOX4QfgN/dXB2r8jnb40SdfMDBsDwsp+64zMJMtG5hKcyTzrMTtfjnDh6nV 4YB3kar/2/HV8Qev8e2nMTCs+MAEd25g2OKBaU9pHkcxwyOSRvsZSsPrmyOa6v9ss72cTsWB aX4WfhrkZwaGFb+QDMxXlg9MpT19ufLRSz9APbdbdXsIz9vAvP3eewaGFb2Q3swJA8NWCUwb keD0pT49wqMOPrJ5H5Hov/nMwLCtLqRFdpeB+do6gWkWfhAFA7NpxQbmww8wMMzABAwMK3Yh GZifbC8wwWMwvwXGx2BSK3IhTZgLBoYtH5jH4y/1D663cTDio47mKe76v+uOcD7dV/19n0VK qhrpx6WCTJgLRY7LBKnWUdrRDU+TvuPrYNLb0kJabBcZmJ9tMzAVfCXvF9qnwn9PlIFhxS2k ifPAwLDNBqZRHcn8Egn/LVI+BoYZGLbtwKzIwLAtLKTFds0XP8jAMAMTMDBs7YW06G4xMLMZ mICBYcUspC/3v4FhBiZgYJiBYQaGGZiAgWFrLKR6Vyy6O374YQaGZQ9MNDlyXz+XgWFFLKQf 9r2BYR7BBAwMO/xC+nG/GxhmYAIGhh16IdX73MAkZWACBoYttZBmrPXvJfhhBoYZmICBYYdZ SF1Uki0A5wsxMAEDw3a/kBJGpc/AMAMTMDAs50LKtPZbWe8877jsmYEJGBi2q4XURWWBfWlg mIEJGBi2i4W0UFT6DAwzMAEDw1IvpGTD3EVlpf1mYJiBCRgYtrmFtGJU+gwMMzABA8M2sZC6 qGxoHxkYZmACBobNXUizhnVjUekzMMzABAwMWyUwGw5Lx8AwAxMwMGyxhdRFZSf7wcAwAxMw MOzbhfT1MO4oKn0GhhmYgIFhWRZSF5Udj7mBYQYmYGBY0oW086j0GRhmYAIGhn1aSJOaMelG +2JgmIEJGBj280LqonLQcTUwzMAEDAwbLqSPzfh4g2MwMMzABAwMm7SQuqgUNIYGhhmYgIFh b7vx9pvHZmCYgQkYGDZaSF1UCh8vA8MMTMDAtIbteC6k4TcKZ2CYgQkYmIBhQQaGGZhAqYHB fnRXVpsLiTkuzMAEPIKpdGHpcSExx4UZmEApgXk2pLvQ34ALiTkuzMAEjhiYZze6C/1tIhcS c1yYgQnsNjC9aDR/hd7XKbiQmOPCDExg04HpR2O49Qy+TMKFxBwXZmACqwemCwZt4M23knIh MceFGZjAIoHpqkDbGxNuko0LiTkuzMAEkgWmqwFtE3xx00W4kJjjwgxM4KuB6SpA20BwdXj9 1riQmOPCDExgNC7VFc8IdBceW3dxKLp+z1xIzHFhBibQjEtXiKNVYgYXEnNcmIEJpBqYo3Eh MceFGZiAgWEuJOa4MAMTMDDMhcQcF2ZgAgaGuZCY48IMTMDAMBcSc1yYgQkYGOZCYo4LMzAB A8NcSMxxYQYmYGCYC4k5LszABAwMcyExx4UZmICBYS4k5rgwAxMwMMyFxBwXZmACBoa5kJjj wgxMwMAwFxJzXJiBCRgY5kJijgszMAEDw1xIzHFhBiZgYJgLiTkurNDA3O6XUzUlqr/83+lS fTVmYJgLiTkurMjAXM9/99Olzcrtcrr/na/N5T4Dw1xIzHFh5QXmdrmf/s73/0m53s8vX7cM DHMhMceFlReY63lwWtSeLg0PYgwMcyExx4UVF5jxKVEcGDc3t/lbCocLjKTt2M/x4cRTJEnb sZ/ADB/kHT3oK2lr9hOYyvBp6u6ypG3aVWC606LmQSjPjaTN21lgpuqFKHjFb7GaU8vT3YO/ nvrxve7ZE39x/ZdgXA4ZmCmv+C3Sc8IYmKc6uN38aOL7f+6U7Xo/P9dN/aLW355QOV5gRg/+ 8it+y1WPh4Hp3K7XlyPc5heSR73VQNxexqD+pW1gaj6d/YGBeWs0fzTnLOBwgfEFeZ8YmHd8 drJv/pMqBqY4BiZWjY1HL2MzHpvyFKk4BiZyPftYXeTX06TjP8g7etC3dAaG1AvIX0Jv1L+4 DUzLV/y+Y2BGqsXzMkeqr41NX30W8NucOWRg2gGZ9+DUIT3OpbsXTzk07S+gbjz+bx7xvo7L 77+QDhoYSVtgYCRlY2AkZWNgJGVjYCRlY2AkZWNgJGVjYCRlY2AkZWNgJGVjYCRlY2AkZWNg tG3NP9D0X3/vlYFRGine4mB4H/V7kMz817xal4FREr++63wf34fvX7NnBkazvbx3yI/vaRvf h4HZMwOj2W63a/C+x9PjkOI+tD0GRgmkeGP16D4MzJ4ZGCVgYMQMjBJIEQcDc0QGRglQHOow fPMUs4E5IgOjJOqnmEfPAOGL5B7hgWebRvfhpyDsnoFRPm9ehXu7XKrU6OgMjPLBwLSnQn4Y XhkMjPLx3xEVz8AoHwNTPAOjfJrA+DGsJTMwSq8Ji8/8yMBIyuZ+/wfKQcVerZ4RjQAAAABJ RU5ErkJggg==</item> <item item-id="76">iVBORw0KGgoAAAANSUhEUgAAADwAAAAVCAYAAAAaX42MAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEcSURBVFhH7ZbtDcUgCEWdy4Gcx2lc xmF4ih9RgxVbX5u0nsQfWlK4gLQCPsYW/Ha24LfTCDaghABl4vZGrJYgnG+/OP6NCrZ+SW3j 6ZhCcBDLdbgUo5xf5SLAzTDpKDYbBHuu6LrCVoO8XbAFLRufPgFSuycEGGNKTqRK2DHPC0af EqoCUWcJStxE3B3BIet4R/6tnqzOQVujPZWgC4LzC6mXN5TDg1yjKGYFx2dVyzPiTBy3NO55 LzoNJXhUsVyYcq24wyPHK6CSSp11CddvzZRmCL7c0sSUxm9yb0o3zNh6nq+wx7d1Dnr8HQ6k wcpr5UQhOA4DXK6dTBCb99wUnqT/pxWFpYTEIni7mT+sRF3hD7AFv50t+N0A/ABXUWKU5UoF sAAAAABJRU5ErkJggg==</item> <item item-id="77">iVBORw0KGgoAAAANSUhEUgAAADQAAAAVCAYAAAAJiM14AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADYSURBVFhH7ZYBDoMgDAB5Fw/iPbyG z/QxHR2DgQwpEVljuAQTMUKPQlXhw9hC0tlC0klCzihUKmvaIoQHRb+2796bcWiyOY37dDMo MwQWdTUAoNVjg16DZIy/BsBqL/W979EVosytk/EAhJ2RIEGN3I1xIrQ6Mw0opoEgGkKCZOJZ ZvJT6EoBqIrLsTFXKZyd+N6EMxQDW1PV2kQxbhynRUGGVNj+U4SIUalZWy6HxuS+1hUi/pop immgMCShamXTIOVXu3x2A4c/k9G5ygw9gC0knS0kG8QX21kKpWmMphkAAAAASUVORK5C YII=</item> <item item-id="78">iVBORw0KGgoAAAANSUhEUgAAALAAAAA7CAYAAADbwABFAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACrSURBVHhe7dIBDQAADMOg+ze962gC GrhBmMCkCUyawKQJTJrApAlMmsCkCUyawKQJTJrApAlMmsCkCUyawKQJTJrApAlMmsCkCUya wKQJTJrApAlMmsCkCUyawKQJTJrApAlMmsCkCUyawKQJTJrApAlMmsCkCUyawKQJTJrApAlM msCkCUyawKQJTJrApAlMmsCkCUyawKQJTJrApAlMmsCkCUyawKQJTNj2R0ynMN389ysAAAAA SUVORK5CYII=</item> </binaryContent> </worksheet>

Mathcad Professional 13.0 <description/> <author>Константин Титов</author> <company/> <keywords/> <revisedBy>Titov</revisedBy> </userData> <identityInfo> <revision>10</revision> <documentID>f5bbcabe-024d-4532-944b-0072985beda9</documentID> <versionID>4a039f65-3e98-44ce-af0b-8875ca4354e1</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="14" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 2"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="bold" font-style="italic" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 3"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Paragraph"> <blockAttr margin-left="0" margin-right="0" text-indent="21" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="List"> <blockAttr margin-left="14.25" margin-right="0" text-indent="-14.25" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Indent"> <blockAttr margin-left="108" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="Arial" font-charset="0" font-size="10" font-weight="bold" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="italic" underline="false"/> <mathStyle name="User 5" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="current" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results> <general precision="4" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3" imaginary-value="i" zero-threshold="15"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.5" page-height="842.25"> <margins left="56.63622" right="16.97953" top="70.86614" bottom="70.86614"/> <header use-full-page-width="true"> <left>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fswiss\fprq2\fcharset204{\*\fname Arial;}Arial CYR;}{\f1\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\cf1\f0\fs16\{p\}\par \{f\}\cf0\f1\fs18\par } </left> </header> <footer use-full-page-width="false"> <left>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} \viewkind4\uc1\pard\f0\fs18\{d\}\par } </left> <center>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fswiss\fprq2\fcharset0 Arial;}{\f1\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\qc\cf1\lang1033\f0\fs18 Titov\cf0\lang1049\f1\par } </center> <right>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} \viewkind4\uc1\pard\qr\f0\fs18\{n\}\par } </right> </footer> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="EN" UI="EN"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC12" local-assignment="MC12"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="cm"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="946" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="188" left="48" top="29.25" width="432.75" height="197.25" align-x="48" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="14">1.2 Метод Адамса.</f> <f family="Arial Cyr" charset="204" size="12">Решить уравнение вида: </f> <region region-id="237" left="183.75" top="45.75" width="80.25" height="36.75" align-x="220.5" align-y="66.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:sequence> </ml:apply> </ml:apply> </math> <rendering item-idref="2"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> для заданных начальных</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> условий </inlineAttr> </f> <region region-id="238" left="96.75" top="83.25" width="9" height="17.25" align-x="100.5" align-y="94.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="3"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">, </inlineAttr> </f> <region region-id="239" left="112.5" top="83.25" width="52.5" height="17.25" align-x="144.75" align-y="94.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="4"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">,<sp count="2"/>численно методом конечных разностей. </f> </inlineAttr> <region region-id="194" left="393" top="83.25" width="51.75" height="17.25" align-x="428.25" align-y="94.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:lessOrEqual/> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve">b</ml:id> </ml:apply> </math> <rendering item-idref="5"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">Запишем формулу Адамса с четырьмя членами [2]: </f> </inlineAttr> <region region-id="189" left="48" top="114.75" width="235.5" height="33.75" align-x="81" align-y="134.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>5</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:real>12</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Δ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="6"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">,<sp count="44"/>(6)</f> </inlineAttr> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">где </f> </inlineAttr> <region region-id="190" left="68.25" top="155.25" width="75.75" height="17.25" align-x="81.75" align-y="166.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="7"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">, </f> </inlineAttr> <region region-id="191" left="150.75" top="154.5" width="109.5" height="18" align-x="193.5" align-y="166.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="8"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">, </inlineAttr> </f> <region region-id="192" left="267" top="149.25" width="146.25" height="23.25" align-x="319.5" align-y="166.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Δ</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX'</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="9"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">, </inlineAttr> </f> <region region-id="193" left="48" top="173.25" width="126.75" height="17.25" align-x="108" align-y="184.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:sequence xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X'</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:sequence> </math> <rendering item-idref="10"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">.</inlineAttr> </f> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">Формула Адамса дает возможность, зная </f> </inlineAttr> <region region-id="195" left="278.25" top="191.25" width="77.25" height="17.25" align-x="325.5" align-y="202.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:sequence xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:sequence> </math> <rendering item-idref="11"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">,<sp count="2"/>определить </f> </inlineAttr> <region region-id="196" left="431.25" top="191.25" width="26.25" height="17.25" align-x="443.25" align-y="202.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="12"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">.</f> </inlineAttr> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">Таким образом, зная </inlineAttr> </f> <region region-id="197" left="164.25" top="209.25" width="53.25" height="17.25" align-x="199.5" align-y="220.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:sequence xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real font="0">1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real font="0">2</ml:real> </ml:apply> </ml:sequence> </math> <rendering item-idref="13"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">,<sp count="2"/>мы можем определить </inlineAttr> </f> <region region-id="198" left="354" top="209.25" width="14.25" height="17.25" align-x="360" align-y="220.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>3</ml:real> </ml:apply> </math> <rendering item-idref="14"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12"> и далее </f> </inlineAttr> <region region-id="199" left="417" top="209.25" width="46.5" height="17.25" align-x="432.75" align-y="220.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:sequence xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:sequence> <ml:real>5</ml:real> <ml:id xml:space="preserve" font="1">...</ml:id> </ml:sequence> </ml:apply> </ml:sequence> </math> <rendering item-idref="15"/> </region> </text> </region> <region region-id="869" left="48" top="234" width="430.5" height="27.75" align-x="48" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12"> Моделирование алгоритма Адамса в системе MathCAD. </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">(</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">На примере задачи, решенной ниже.)</inlineAttr> </f> </text> </region> <region region-id="226" left="42" top="282.75" width="30.75" height="13.5" align-x="42" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Дано:</f> </text> </region> <region region-id="225" left="96" top="282" width="71.25" height="16.5" align-x="141.75" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">ψ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="332" left="210" top="282.75" width="33.75" height="17.25" align-x="227.25" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="331" left="258" top="282.75" width="39" height="17.25" align-x="280.5" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="903" left="312" top="274.5" width="112.5" height="33.75" align-x="327" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:minus/> <ml:real>0.9</ml:real> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>50</ml:real> </ml:apply> <ml:id xml:space="preserve">FRAME</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="942" left="462" top="282.75" width="38.25" height="15.75" align-x="475.5" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve">h</ml:id> <ml:real>0.1</ml:real> </ml:apply> </math> <rendering item-idref="20"/> </region> <region region-id="905" left="42" top="312.75" width="412.5" height="13.5" align-x="42" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Для проведения анимации необходимо убрать h:=0.1, заменив его на<sp count="2"/>h=0.1</f> </text> </region> <region region-id="935" left="48" top="354.75" width="32.25" height="15.75" align-x="63.75" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">b</ml:id> <ml:real>3</ml:real> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="932" left="210" top="345" width="96" height="35.25" align-x="228" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">K</ml:id> <ml:apply> <ml:id xml:space="preserve">floor</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">b</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="933" left="312" top="354.75" width="51" height="15.75" align-x="327.75" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">k</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="934" left="390" top="354.75" width="66" height="17.25" align-x="407.25" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="733" left="48" top="390.75" width="174" height="13.5" align-x="48" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Просмотр численного значения:</f> </text> </region> <region region-id="879" left="234" top="390.75" width="39" height="15.75" align-x="250.5" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">K</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="25"/> </region> <region region-id="731" left="294" top="390.75" width="36.75" height="15.75" align-x="308.25" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">b</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="737" left="48" top="423" width="450" height="72" align-x="48" align-y="450" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Вычисляем значение n-й производной: </f> <region region-id="251" left="261" top="423.75" width="114.75" height="44.25" align-x="309.75" align-y="450" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">Xn</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> <ml:degree> <ml:id xml:space="preserve">n</ml:id> </ml:degree> </ml:apply> </ml:apply> </math> <rendering item-idref="27"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> . В системе Maple достаточно предыдущей символьной записи, а в MathCAD - каждую производную надо записывать отдельно:</inlineAttr> </f> </text> </region> <region region-id="880" left="42" top="516.75" width="189" height="13.5" align-x="42" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Первая производная уже имеется:</f> </text> </region> <region region-id="886" left="258" top="516" width="97.5" height="16.5" align-x="308.25" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">X1</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="739" left="42" top="570.75" width="122.25" height="13.5" align-x="42" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Вторая производная:<sp count="2"/> </f> </text> </region> <region region-id="741" left="180" top="561" width="229.5" height="36.75" align-x="230.25" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">X2</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="742" left="42" top="606.75" width="120" height="13.5" align-x="42" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Третья производная:<sp count="2"/> </f> </text> </region> <region region-id="242" left="48" top="663.75" width="378.75" height="87" align-x="98.25" align-y="690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">X3</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> </ml:function> <ml:parens> <ml:apply> <ml:plus split="true"/> <ml:apply> <ml:plus/> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> <ml:degree> <ml:real>2</ml:real> </ml:degree> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:parens> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:lambda> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> <ml:degree> <ml:real>2</ml:real> </ml:degree> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">X</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">X</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="743" left="36" top="780.75" width="451.5" height="54" align-x="36" align-y="792" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Запись последующих производных в MathCAD становится обременительной. В </f> <f family="Arial Cyr" charset="204" size="12">Maple эту процедуру символьного дифференцирования выполняет сама система, </f> <f family="Arial Cyr" charset="204" size="12">что позволяет записывать производные практически любого порядка и вести </f> <f family="Arial Cyr" charset="204" size="12">далее с ними работу.</f> </text> </region> <region region-id="346" left="36" top="846.75" width="454.5" height="27" align-x="36" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Можно осуществить проверку<sp count="2"/>правильности </f> <f family="Arial Cyr" charset="204" size="12">вычислен</f> <f family="Arial Cyr" charset="204" size="12">ия производных для выбранных значений функции в отдельных точках:</f> </text> </region> <region region-id="744" left="36" top="882.75" width="83.25" height="17.25" align-x="96.75" align-y="894" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">X3</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="745" left="120" top="882.75" width="83.25" height="17.25" align-x="180.75" align-y="894" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">X2</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.99999999999999989</ml:real> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="748" left="36" top="906.75" width="351.75" height="13.5" align-x="36" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Вывод: вычисляет правильно, в том числе и для других функций.</f> </text> </region> <region region-id="262" left="36" top="936.75" width="122.25" height="13.5" align-x="36" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Введем обозначения </f> <f family="Arial Cyr" charset="204" size="12">:</f> </text> </region> <region region-id="274" left="168" top="936" width="87.75" height="18" align-x="196.5" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDFunction" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X1</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="275" left="264" top="936.75" width="92.25" height="17.25" align-x="292.5" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDFunction" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X2</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X2</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="276" left="360" top="936.75" width="92.25" height="17.25" align-x="388.5" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDFunction" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X3</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X3</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="755" left="36" top="972" width="307.5" height="14.25" align-x="36" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12"> Просмотр численных значений и проверка: </f> </text> </region> <region region-id="756" left="36" top="996.75" width="49.5" height="17.25" align-x="63" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X1</ml:id> <ml:real>0</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="757" left="102" top="996.75" width="49.5" height="17.25" align-x="129" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X2</ml:id> <ml:real>0</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.99999999999999989</ml:real> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> <region region-id="758" left="174" top="996.75" width="49.5" height="17.25" align-x="201" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X3</ml:id> <ml:real>0</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> <region region-id="370" left="36" top="1020" width="174" height="14.25" align-x="36" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12"> Проверка завершена успешно. </f> </text> </region> <region region-id="280" left="36" top="1044" width="468.75" height="36" align-x="36" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Используя разложение </f> <region region-id="281" left="168" top="1044.75" width="22.5" height="15.75" align-x="177" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </math> <rendering item-idref="39"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> в ряд Тейлора в окрестности точки </inlineAttr> </f> <region region-id="282" left="390" top="1044.75" width="9" height="17.25" align-x="393.75" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="40"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> и беря его первые</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">четыре члена, определим таким образом </inlineAttr> </f> <region region-id="283" left="267.75" top="1062.75" width="58.5" height="17.25" align-x="288.75" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="41"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="3"/>и<sp count="2"/> </inlineAttr> </f> <region region-id="284" left="349.5" top="1062.75" width="58.5" height="17.25" align-x="370.5" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="42"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> как </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">:</inlineAttr> </f> </text> </region> <region region-id="293" left="42" top="1085.25" width="191.25" height="39" align-x="64.5" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X1</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X2</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:real>6</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X3</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="292" left="252" top="1085.25" width="238.5" height="39" align-x="274.5" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X1</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X2</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:parens> <ml:real>3</ml:real> </ml:apply> <ml:real>6</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X3</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="889" left="36" top="1135.5" width="454.5" height="63.75" align-x="36" align-y="1146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Значения X</f> <f family="Arial Cyr" charset="204" size="12"> o </f> <f family="Arial Cyr" charset="204" size="12">, X</f> <f family="Arial Cyr" charset="204" size="12"> 1 </f> <f family="Arial Cyr" charset="204" size="12">, X</f> <f family="Arial Cyr" charset="204" size="12"> 2 </f> <f family="Arial Cyr" charset="204" size="12"> необходимы только вначале для запуска алгоритма Адамса.</f> <f family="Arial Cyr" charset="204" size="12">Вычисления последующих X</f> <f family="Arial Cyr" charset="204" size="12">k</f> <f family="Arial Cyr" charset="204" size="12">,<sp count="2"/> </f> <region region-id="888" left="210.75" top="1152.75" width="28.5" height="15.75" align-x="224.25" align-y="1164" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:greaterOrEqual/> <ml:id xml:space="preserve">k</ml:id> <ml:real>3</ml:real> </ml:apply> </math> <rendering item-idref="45"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> идет автоматически по рекуррентной формуле</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">через разности.</inlineAttr> </f> </text> </region> <region region-id="760" left="42" top="1200" width="175.5" height="14.25" align-x="42" align-y="1212" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12"> Проверка численных значений: </f> </text> </region> <region region-id="761" left="42" top="1230.75" width="64.5" height="17.25" align-x="63" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>1</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.405</ml:real> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <region region-id="762" left="114" top="1230.75" width="58.5" height="17.25" align-x="135" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.62</ml:real> </result> </ml:eval> </math> <rendering item-idref="47"/> </region> <region region-id="763" left="186" top="1230" width="105.75" height="18" align-x="242.25" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.2645</ml:real> </result> </ml:eval> </math> <rendering item-idref="48"/> </region> <region region-id="764" left="306" top="1230" width="99.75" height="18" align-x="362.25" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>4.716</ml:real> </result> </ml:eval> </math> <rendering item-idref="49"/> </region> <region region-id="766" left="42" top="1254.75" width="99" height="13.5" align-x="42" align-y="1266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Первые разности:</f> </text> </region> <region region-id="364" left="42" top="1284.75" width="48" height="15.75" align-x="57.75" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">k</ml:id> <ml:range> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="50"/> </region> <region region-id="357" left="108" top="1284" width="193.5" height="18" align-x="156" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX1</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="51"/> </region> <region region-id="361" left="312" top="1284" width="52.5" height="56.25" align-x="330.75" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX1</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="2" cols="1"> <ml:real>1.2645</ml:real> <ml:real>3.4515000000000002</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <table item-idref="52"/> </resultFormat> </math> <rendering item-idref="53"/> </region> <region region-id="767" left="48" top="1350.75" width="97.5" height="13.5" align-x="48" align-y="1362" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Вторые разности:</f> </text> </region> <region region-id="385" left="48" top="1380.75" width="32.25" height="15.75" align-x="63.75" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:define> </math> <rendering item-idref="54"/> </region> <region region-id="374" left="114" top="1380" width="150" height="18" align-x="162" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Δ2X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX1</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ΔX1</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="55"/> </region> <region region-id="375" left="282" top="1380" width="90" height="18" align-x="328.5" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Δ2X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.1870000000000003</ml:real> </result> </ml:eval> </math> <rendering item-idref="56"/> </region> <region region-id="371" left="42" top="1410" width="174" height="14.25" align-x="42" align-y="1422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12"> Проверка завершена успешно. </f> </text> </region> <region region-id="294" left="42" top="1440.75" width="417.75" height="27" align-x="42" align-y="1452" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f family="Arial Cyr" charset="204" size="12">Далее все последующие значения "х" будем вычислять по формуле Адамса,</f> <f family="Arial Cyr" charset="204" size="12">имеющей вид:</f> </text> </region> <region region-id="426" left="48" top="1488.75" width="51" height="15.75" align-x="63.75" align-y="1500" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">k</ml:id> <ml:range> <ml:real>2</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="57"/> </region> <region region-id="425" left="126" top="1480.5" width="366.75" height="33.75" align-x="160.5" align-y="1500" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>23</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:real>12</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>4</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>5</ml:real> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <ml:real>12</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="58"/> </region> <region region-id="892" left="48" top="1524.75" width="423.75" height="13.5" align-x="48" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Результаты вычислений представим в виде вектора X и графически на рис. 3</f> </text> </region> <region region-id="908" left="48" top="1554.75" width="210" height="21.75" align-x="70.5" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:transpose/> <ml:id xml:space="preserve">X</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="1" cols="5"> <ml:real>1</ml:real> <ml:real>1.405</ml:real> <ml:real>2.62</ml:real> <ml:real>9.2376999999999985</ml:real> <ml:real>47.077275249999992</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="59"/> </region> <region region-id="893" left="120" top="1602.75" width="48" height="15.75" align-x="132.75" align-y="1614" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="60"/> </region> <region region-id="894" left="210" top="1602.75" width="51.75" height="17.25" align-x="239.25" align-y="1614" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">XX</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="61"/> </region> <region region-id="914" left="60" top="1638.75" width="360.75" height="27" align-x="60" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Точное решение дифференциального уравнения - опция Odesolve</f> <f family="Arial Cyr" charset="204" size="12">Внимание. Все имена должны быть уникальными! </f> </text> </region> <region region-id="915" left="72" top="1692.75" width="80.25" height="15.75" align-x="120.75" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">F</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t1</ml:id> <ml:id xml:space="preserve">Y</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">Y</ml:id> <ml:id xml:space="preserve">t1</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="62"/> </region> <region region-id="916" left="216" top="1692.75" width="36.75" height="17.25" align-x="234" align-y="1704" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">t0</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">t</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="63"/> </region> <region region-id="917" left="276" top="1692.75" width="47.25" height="17.25" align-x="299.25" align-y="1704" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Y0</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="64"/> </region> <region region-id="918" left="366" top="1692.75" width="39" height="15.75" align-x="382.5" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:provenance expr-id="1"> <originRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">d37a9109e6b3927b57ec936ee8eddf12</contentHash> <ml:id xml:space="preserve">t0</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="65"> <element-image-map> <box left="1.5" top="0.75" width="8.25" height="14.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="919" left="450" top="1692.75" width="44.25" height="15.75" align-x="471.75" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Y0</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="66"/> </region> <region region-id="920" left="48" top="1730.25" width="169.5" height="12" align-x="48" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Enter the desired solution parameters: </text> </region> <region region-id="921" left="78" top="1752.75" width="36" height="15.75" align-x="96.75" align-y="1764" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">tk</ml:id> <ml:id xml:space="preserve">b</ml:id> </ml:define> </math> <rendering item-idref="67"/> </region> <region region-id="941" left="162" top="1752.75" width="36.75" height="15.75" align-x="176.25" align-y="1764" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:provenance expr-id="1"> <originRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">c95ed2ec632c49216273a3314466dd3f</contentHash> <ml:id xml:space="preserve">b</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="68"> <element-image-map> <box left="1.5" top="0.75" width="6" height="14.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="922" left="246" top="1754.25" width="156.75" height="12" align-x="246" align-y="1764" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Endpoint of solution interval </text> </region> <region region-id="924" left="78" top="1783.5" width="63.75" height="21" align-x="96" align-y="1800" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math20"> <originRef doc-id="80325e86-82eb-432b-b9c7-5d2b8da183d8" version-id="bc9695bb-f4ce-4167-8d44-a7da41755401" branch-id="00000000-0000-0000-0000-000000000000" revision-num="26" is-modified="false" region-id="0" href="C:\Program Files\Mathsoft\Mathcad 13\qsheet\calculus_des\odeqs1.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10">Solving a first-order ODE initial value problem using various built-in functions</originComment> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">8113e4bb52d4f862dfe5eff0315bf6eb</contentHash> <ml:define warning="WarnRedefinedBIUnit"> <ml:id xml:space="preserve">N</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="69"> <element-image-map> <box left="1.5" top="0.75" width="62.25" height="19.5" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="925" left="162" top="1790.25" width="196.5" height="12" align-x="162" align-y="1800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Number of solution values on [t0, t1] </text> </region> <region region-id="926" left="54" top="1818.75" width="30" height="15.75" align-x="68.25" align-y="1830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math20"> <originRef doc-id="80325e86-82eb-432b-b9c7-5d2b8da183d8" version-id="bc9695bb-f4ce-4167-8d44-a7da41755401" branch-id="00000000-0000-0000-0000-000000000000" revision-num="26" is-modified="false" region-id="0" href="C:\Program Files\Mathsoft\Mathcad 13\qsheet\calculus_des\odeqs1.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="0c167c06-e81b-4ba6-abc3-8307efa94102" version-id="68e2f115-4712-493a-aac0-7e8980360483" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="false" region-id="0" href="C:\Users\Titov\Загрузки\МетЭйлераРабФайлДляРешПрим (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10">Solving a first-order ODE initial value problem using various built-in functions</originComment> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">21546c5319a511f4b5452a7b23aab828</contentHash> <ml:id xml:space="preserve">Given</ml:id> </ml:provenance> </math> <rendering item-idref="70"> <element-image-map> <box left="1.5" top="0.75" width="28.5" height="14.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/> </element-image-map> </rendering> </region> <region region-id="927" left="60" top="1842.75" width="105" height="15.75" align-x="96.75" align-y="1854" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">Y'</ml:id> <ml:id xml:space="preserve">t1</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:sequence> <ml:id xml:space="preserve">t1</ml:id> <ml:apply> <ml:id xml:space="preserve">Y</ml:id> <ml:id xml:space="preserve">t1</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </math> <rendering item-idref="71"/> </region> <region region-id="940" left="174" top="1842.75" width="59.25" height="15.75" align-x="209.25" align-y="1854" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">Y</ml:id> <ml:id xml:space="preserve">t0</ml:id> </ml:apply> <ml:id xml:space="preserve">Y0</ml:id> </ml:apply> </math> <rendering item-idref="72"/> </region> <region region-id="929" left="252" top="1842.75" width="105.75" height="15.75" align-x="269.25" align-y="1854" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Y</ml:id> <ml:apply> <ml:Odesolve method="fixed"/> <ml:sequence> <ml:id xml:space="preserve">t1</ml:id> <ml:id xml:space="preserve">tk</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="73"/> </region> <region region-id="829" left="66" top="1896" width="210" height="171.75" align-x="66" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="74"/> <rendering item-idref="75"/> </region> <region region-id="945" left="312" top="1932.75" width="45" height="15.75" align-x="325.5" align-y="1944" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.9</ml:real> </result> </ml:eval> </math> <rendering item-idref="76"/> </region> <region region-id="946" left="312" top="1968.75" width="39" height="15.75" align-x="328.5" align-y="1980" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">K</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="77"/> </region> <region region-id="944" left="156" top="2094.75" width="205.5" height="13.5" align-x="156" align-y="2106" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12">Рис. 3. (40 кадров)</f> </text> </region> <region region-id="896" left="30" top="2122.5" width="472.5" height="88.5" align-x="30" align-y="2136" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204" size="12"> Задание </f> <f family="Arial Cyr" charset="204" size="12">. 1) Решить уравнение x''(t)=-t</f> <f family="Arial Cyr" charset="204" size="12"> 2 </f> <f family="Arial Cyr" charset="204" size="12">*x(t), преобразовав его к виду </f> <region region-id="897" left="30" top="2139.75" width="131.25" height="44.25" align-x="97.5" align-y="2166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:neg/> <ml:apply> <ml:integral auto-algorithm="true"/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">t</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>0</ml:real> <ml:id xml:space="preserve">t</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="78"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>методом припасовывания при условии х(0)=1, x'(0)=0.</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">2) Решить уравнение x'(t)=t*x(t) при условии х(0)=1 методом Адамса.</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">3) </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">Решить уравнение x'=cos(x) при условии х(0)=0 методом Адамса.</f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> </text> </region> </regions> <binaryContent> <item item-id="1" content-encoding="gzip">H4sIAAAAAAAA/4yNvQ6CQBCEdzlQwd/GGhMbj9InsCBWJj6CnvifEA1SWPrm5+yCvUf2GGa/ GQZExBiHSVQb3OPjcnep3PO6Oz+q0tURyZljYrVzVzu1aIHplcX2cD8VdWPtmxcFM1ym7Z9K q2r5Stz79lprtVE2w2y4ZZvj8RBn/7u/8m5dueK0zANd2RZMeUJs2Ytitlj6lAO2BtGUDdvQ ixOCIQ8RgfmssOoII6muMhA9YQSOpUfiCRiN98FofABG40P9F8RIGYixMAJ/AQAA//8DAMuS Xhh8AQAA</item> <item item-id="2">iVBORw0KGgoAAAANSUhEUgAAAGsAAAAxCAYAAADdqledAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALWSURBVHhe7ZnttaQgDECnLguyHqux GYthIagJ4XtFgfNyz+HHuPNmklwScfanhGkQWRMhsiZCZE2EyJoIkTURImsiRNZEiKyJSMs6 NrX8fmrdz9dCV+Ky9lX9tCizRNYYSGdNhMiaCE/WvtrRR5fIGgNHFohaNnXQ1yJrGFAWjLxF bZcpg4zBobhlHduiu2hVjheRNRTYWXBUl84aGXLP2tWqxTjd1VyW+Q7WvUDs+gy8EXv4M50D Bgrz12Nh0LmJpEL3zNHJ5fSEQD2YrLcI7ZRDbQvbBBDgS8k3pzCnJ7B6fCLLPAIsXsvYLuaJ wUGn3dxNEno0Md/PX3v3ck1NTk+g9Xgoy+4kOypNQtcYpcmZazzZ633XIju0sLvwb9MrB3+2 dGWd+XnVr8wpSEntNKQeTToL7J8J7ysLMjbXIYjQLrRB53YnFiW9ctjOwfhcWTYWr4Oqc4qT rB2A9Wg0BnGX8EB5MW4ysvwR8xKs8I6sSIz1OaWI186C9WgkSwOB8tHwP4n1kIVxO7LYv120 laWJ1M4SkEVHR2756A/UrbyHkhh8DPLvo7KiUhqOwWTtAIyvQWeZNsYvgRu2E635ssCuiSUG 10NBu4TEhFYJVMotK1n4ypyi5GqnIfV4KIvN2zNYKBQ5YYWPufi3dEdB4cqzbQeNHVZsLFlq crJy+bWy2tF6NOisEiI70cO8jyb0PXdnZSnNCTm2ter9vB4fydLAzkklZ3dfj6ailMvSZHOi uCMvj1+P72QBsc6JXf+eKllASexGVE0Xhj/zY1nCE9Kyzpte79EkWOKy4FmCnFaE7lR0lj1q irh+VMjyTyfCt3iy4Cn6HH84Bq0ovDbGye2v4cgCUeyXBytLv5DDRndQVugBjwoSWd25ZcFv UHy8iayhwM4K/d+NyBoKcs+6DhGku0TWUDgHDBTmr3WP/fwvfAWTJYyMyJoIkTURImsiRNY0 KPUP6JgTgKdh3dQAAAAASUVORK5CYII=</item> <item item-id="3">iVBORw0KGgoAAAANSUhEUgAAAAwAAAAXCAYAAAA/ZK6/AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACJSURBVDhP7ZDRDYAgDAU7VwfqPEzD Mg7zbKEoQgCNP354iYltufQB4SG/cIdK2BCYINHLAZUQIXRbyIfp+EQ7Rt6aehy0qjdsAdxs iELgYMdszCAdjoVUl02GpZCJEHXoMTIez6tOKBFOXguloVJ6pWWklvbSXo8FpX1W+58Kl5h+ n4XQ8zkB2AHAOd6GMdUv6QAAAABJRU5ErkJggg==</item> <item item-id="4">iVBORw0KGgoAAAANSUhEUgAAAEYAAAAXCAYAAAC2/DnWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAG5SURBVFhH7ZiBjcMgDEWZi4GYh2lY hmF8YJKGgE0wISk69UuR0gYc/4ftnk7BT6SGwXhrwW33Mjmw1m/362oIjLca9A1zd/e/ITkY b8FMMOWtgZXZCMF4sNoMtlApB0bbEHFNycCEatFmDpYEWS9bNSIws2fDyrNGACaesAK6YFrP GnIG1KLtJAATZoLiSj8+GwSjZs2sudrApBNXwZxC88louk8rcL6QYPa1+7UbzWJyVcHGPHTE bV+8OrwRuZ4ixp7fHzhTnGTLBD47V4wz6jM/MC5VTq+ASWp5o3ItIh7kKh9Y9p1g8HP+8nhK RMsQQJ8T443JtUbNnSL3fVRpsBqqKakKQCvmE6Lex+RagAm0wiIXy6k8YQGYunXGweTt0rqu RXvjcs0ixi+ODbHvzhvS0KrMRd0CQ7RYJgoCdbXFe7sAs30IL8A1m1F86afMGHOoYz+eRm8r Veue0IW3vlZqK9Lt+ku1rASmMrrjPSkmVxEY3NR5wuVPIAXAmRcHb0NUrjIwWGb1ydPK2ovs vzQMF+ASVOcqBBMUqub3/xhGt01NgvukhsCk0hucD4I59U0NgvnvAvgDs6sAxZ7iFesAAAAA SUVORK5CYII=</item> <item item-id="5">iVBORw0KGgoAAAANSUhEUgAAAEUAAAAXCAYAAABdy4LVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFRSURBVFhH7ZXREcMgCECdy4Gcx2my TIaxoNgYJREx17u2vrt8yNlAHmhNWDQsKQxLCsOSwrCkMPyvlN0Ha0xwG60LPiZl9zYYroKH EeUhIaYvZQ/e8ptmiEViAaIX62sYywPIJmUL7mKThs2lTli/U0TCeA26PEBfSiommo6PgwiS Ohdj1sOqx7F/XO5VDRwzeYi3lOIbjQ3o9pgUxhx2IXdAdFY3Ry9XFnvTvROzeRDKlUUgaerg 3WkJ1AXFddkt7ORd986oxloqpeDZ40PTSqt2E3bjdGR0l2C+AEVFK6RkhvIgGintcdFJyYiO 34SUjCgPwuWKMfg9LZtNT0sR8YAUMU0uunAhcEjJQdgYb37F8ckjfPl0v7aqgaI183kS9Xvy 0SukVESTRWH1+oe5lgLUf8nDN/yXcisFVBzjLBzJX6Aj5T9ZUhiWFIYlpSGEFySyM+tdzXrP AAAAAElFTkSuQmCC</item> <item item-id="6">iVBORw0KGgoAAAANSUhEUgAAAToAAAAtCAYAAAA+5qfLAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAVxSURBVHhe7ZyBsasgEEVTVwqyHhv4 bdhMivGzgIKAusiCyrtnhpmYl4Tdu3AFY95nBgCAzoHRAQC6B0YHAOgeGB0AoHtgdACA7oHR gQpM8/D5zMNkD8F1fuP8VVp+lnYqKrRPAaMDwpiJRpMSk62c3/h1JneqKbTfA0YH5LGrEEy2 UpRx5YrYSvtpcAb8gkLD6IA8MDoZPDNha9lCe+pj6cD29x1/5vihwOiAPOtk+83j9z1n/Wfh abc0joYNtP9Nk4rOobfX33Hz3NOA0QF57GT7fL6zPtHrlYl9DC7gTOvUs+7QnvqA0YE/x7qq 8I9hdKVMA2N1doP2tKLD1hX8PZKTjbEaAcfQyskX0eqaeq6d9tM8PHw1R8DogDwwujooozvV sLH20zAoq3s+MDogD4xOHtKQs3JqqD1tWd9SUxgdEMbdtKovgk9moq3HuE7HwxqU0U011vaw ofZqdbm5LsdZbd7IanT6QucqCrVlSeqLp9pLT8vPzM/0ze0yKwe6nrP+/a1M85iYnX9PhztI a0+Ev9Ywbavx02q0XdGtZ5GwU/p6u4Oz8aPycwXP8lZuDh1M8MP7s/6QDncgcm/cg2oUb11t cP6y9E178VOq5kcFzCiYjSW7b04O9Jrib8My8xGF+j45ETTToZQ7dbwCQ3suD6lR8hodBbLu 6ZXb+kH2QL38Ghmd4jyH/a0HnxsnqMppvbv/QKA2OpTyMqNjas/lCTXa+TLCJqkmYTrRvGtL u+iJbgU4QMfBaHxq5Zc5oFejO4snRc57GuUjhut3M0mStNAhgDluHXfpeIUc7bk0rpEyU92X 19+BO5gO48Bc0DLB3GF0RI38Mge0NTr/bJc3sPZy8GmYjxRKl2EVweR4vOqurYNHxrh13KTj FbK159KoRjSnljfb+UXxH6zoVGFsUeNOTUBFA0ZDyUucMXKRyy/+diloRx9iC7G+RB9z9TjL wadNPsnXB41DeBOqiWnPKOrocMz5uK2t45XGIU97Lu1qtPcPB5LZT4MrYjpRPxjr1NTCC4oq seOA7zE6sfwibEHt0SlJo4uPU5PiPAefRvnkkspPPedWFJZQF482OoTkjtvKOl5BQHsu99TI Quaq3hsZHTngNinb2eZJP5htIhuEjE4nymgcRPOLyBzQ4SBiDipeDj6N8hEgHZuJPxzs7XQI 4Y1bR3sdr5CjPZf7amSg/qOtKz2ZCkA/r4Jze/UlmG1QEQ8zOvH8Iuj1dY2On4NPo3yKUeNh Lzi97XFjpa0OIT0aHV97LvfWiFA5WYO27mA+lDrXzfv0Jai16Tf6r98W0CxNd1oUde6AuYpc fsfQ+7ivp9yXPpQGpz/Xyc3Bp0U+5UR5pNrwr4oOdcdtWx2vwNOem0GdsZpXI3q9ez9vvxdh gqHP1p3vCSC0omsPM7/X0Fs+V5HS4anjtgdkakSG6r+12OhM0ZfHAR0Y3WF+r6G3fK4ipcNT x20PCNRI+c5mW0xbb/swC+20KgCzxTKB6eNwGXpkdPZ61LL0vDbg6sDO7yW0z8cMUNPnc2or osNt49bGm4z1mXpfobRG6S34RaMDYB8anO7ayDLw3jz57sczsmjCQ28OMDogyzSqM7F9rLFn Zcy8YrSJhUYHvVnA6EB19HYEE6+YpNElgN4xMDpQGbPCwLwrh2d00DsFjA7UhS7eMy8kg2NY Rge9k8DoQFVKf8IDHByjg95pYHSgGjQxsYWS48zooPc+MDpQh/CmTbWlGjEJizg0Ouh9CIwO yEN3oi/3fa3t2b/1fAP629SU0UHvU2B0QBS96ogmnWrYUxWw/eWD+dWA+Qv05gGjAwB0D4wO ANA9MDoAQPfA6AAA3QOjAwB0zjz/BzEu6+aHh1VZAAAAAElFTkSuQmCC</item> <item item-id="7">iVBORw0KGgoAAAANSUhEUgAAAGUAAAAXCAYAAAASloEFAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGgSURBVGhD7ZYNEsQQDIWdy4Gcx2lc poexfqKirGqppjO+mcxs127l5RGYXpBjmUKQZQpBlikEWaYQ5GCK0oIxLRQ8TkAJppmZM4Yw WbgRl8v+/cykOhihB5kS/zRd/yY1d3MHAYFNS8613ODxK3TqSXcKvOyVRQlzc5TxJvk7uYyg Qw8dUww2acZgJSmRCPoid/X8McVus4beZ8cbop2zeQedeU7njLZ4T0/RFOzu/rkALnwtrgFn WyYiCuwyxWmy75lhiuW6nnr7mraiAjZRczhC4fLieyFdpjhsoeq68lvUIZqSuKenwZQRRWhD iVgoX5TS7SXkAyvQBpdmBGGKUM/53JQR3NbjxgIXTdlXzUm0kN9MSts+XVlYdAIBU3r0kDDF 3VIKk/jbC75WBhGpmIyXTenVgyqGto9NWHlD9udHBPhk/BwmkJAgYA/XovDv01ZQPQOyAj1l yhg9bb2FDHFFOROyYgNEzpRzyno+a4ovbNzyCR80Bev5lCmxRdmCoq1/5fYF52RoI3XznuWv HhhfEGKZQpBlCkGWKeTQ+gdTjoAmfZz/7QAAAABJRU5ErkJggg==</item> <item item-id="8">iVBORw0KGgoAAAANSUhEUgAAAJIAAAAYCAYAAAARUKQwAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAITSURBVGhD7ZeNsYMgEISpy4KoxwbS hs1YDI/jUCD8iOEQfHPfDDNJ1LDLrScKxTAEcJAYEjhIDAkcJIYEDhJDAgeJIaEQpE2t624/ OzYplBD+kPpMc0RJ/3epf92kd/x9zOx1Nm3ZIO3rosSyqjhKmn1VSyD+YFfrsqgzfy8PkmFm rxNpywQJhGCiIdBJrInF61oQvuB8OCcXxjcxs9dJtKWDpBMsNxumbJJQsBA2+foa3wySfjy+ kZm9zqAtESQIELbBQGAS17lKgUPw2X152hXmDixpQs49wsWoZ4DXasbXIV5JfYI8q4STxgn3 sZu7ojJntMmAedbD/4wIEvCg19uMrUO0kpsMN2X4dpDbqIEwfcz+cVkcmmhfXFiw6yDR08dr /Pb1NaoWbHwdwiAF3chiWlh64k26PyoHDvAN2LsHxu1N4JggjfFaxwx1CILkC3LgxN8TRW8G h6hU4gzhnZCeq4a6IJnFqRg1jPN6zSx18FZSH8hNblqmu8hswhPn4uY8t6c6DIRG7vNskMZ6 LTNTHc6VPCYvDvkxk7vvTkV0fdQqUTgeD1tvcZ8QOa0LUju+3lBHi1ca+mhrqUNdbycBDYAe IzgSVstTQWqBymsP+tRhSJBQxK9t9V1BavPagz51eCxIrm3C5GjGfL/ztmDfII92O09xQki8 dqJXHR7sSMx/hoPEkMBBYkjgIDEEKPUHCtDVRMmGH90AAAAASUVORK5CYII=</item> <item item-id="9">iVBORw0KGgoAAAANSUhEUgAAAMMAAAAfCAYAAABag3n+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALQSURBVHhe7ZqJkYUgEESNy4CIxwQ2 DZIxGJaB8UBAEPHA36+KqtXShWmmOeR3CgBggBkAYGAGABiYAQCm3AxSqK7rbBGSbwLQLmVm GAfVTwagv7Uh+mG01wA0SpEZRinVOvXHoVddPzj3AGiNOnsGWjLBDKBxqpiBZgYsk0DrVDCD VAKzAvgAp80ghdB2AKB9TpmBlkf4qgq+QrkZ9KbZ2SfoaxgDtMyOGaQaIpti8yl1OnCbS3y5 JEXsWb3fWN8nN5nDvC8tvcI6/pYmbWgQNUP1swM+nPMDGtXQ92rW6mNm2NXxRzRpRYOIGagh 1pVVlz6B02pv30HPfObrVIaOn9ekHQ3CZtAuFJKDiEZQhhklOna8rsc/n4gvz5ojU8dPa9KQ BgEzUMPtdOQ0sBrLSJE2ml07nvKjFtbUlVHf/Fyi5HFEx5s1IcxoXLtvt7xYg0Be+D2rRRJz i22lvkvPwhuk3WgWcYqDpg6fXg5MxVtmcRIli8M63qQJMSfCxWZ4qwaRvPB6dnuIZnf8NTcu PFpwh+wHZAMvDfrJHxQe0/E+TRYo8fbN4H/t2ZREI96qQSwvXDM4TmbYOYcq5ndCYkmxdEDa aOugedSgUprQJPQdZjio4zOapM1wiiY0YDgvHDOsG7RgK66RRORAVwgOJKSOwR0Bwu3Lh+q/ Y5l0RMfnNLnWDG1oYJnyYtWzugGxys3Udb7CUHDmvg48nKRT0G7wZej4EobeJn2s7JOv47Oa XGmGVjQglryYe3aqfLcU1WobHPofXp1esq7fdafN3fVsoJ13/aAwT8e/F2hynRna0cDNi/Sc /yiL802QgWByIHELX30hdTS50gzXc01eNGMG23kFU6Kelp2pVl8XavcSKmhi+IYZaubFq82w THnUaVYAc51Y+0+Ep+t7lktXcVYTw/S1j0trg8NVefHymQGA+4AZAGBgBgAYmAEAg1L/Basz kn9DLxQAAAAASUVORK5CYII=</item> <item item-id="10">iVBORw0KGgoAAAANSUhEUgAAAKkAAAAXCAYAAABwFW8qAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAK7SURBVGhD7ZoJEoMgDEU9lwfyPJzG y3gYSgA1yhaW1FJ5M8x0tJCfb1jsdJKDwY/zmiLdhJCr/ZzHKoXY7OcBhdZev6JINzHLuaLQ avu/CQ6v/79INyGXBgW2iUWOOk3A5PWfF+kmxbwUbj13VrnMQo048MPn9VGk6zLJacJtD6g6 4OtLGxm5FOlTM3tuphcewpy1mmZpXhd0//tUa2X0+rqSQqCLwJ38B8RCpr7WZ8mi8aiaHy5S TYVWTq/d7d4KxQGhQ7NJUgtZHxg7BXTH7kWAh1Oy5VM0w3d+4ThRpJXXa++ZFERNk5056stY 8C9A0wfblLu6GswWVmRc4WqX1vw7P3Xla+X1OvDiZKr/OIM45AU+zznxRielT6FXBJ9xRvsZ F4wg5hMckwJB80EH/mKYvY4otwGc0c4EnjMRCOmzxApK39v1Z+RTVaRAQrOmE38xzF4HlMNg qur1kusb0ASjmtielD6FvkcxDiDm4/TLgaD5oAN/Mcxee4t0Xc6A5qcJWKYxOJCdcdC+dPBP 61OgmegQNS6ST2zMBCTNBx34i2H22ilS501uH+hy8TobcFI+tAhCo0DTpyg2LpJPbMwIZM0H HfiLYfb6oly/1XnE6Osq0PmWtwe6BgxxNyvUUtD1AcZcr7agcYl8dL/EqnIjT/NOD/5ieL22 yk2HIyHUcxd4NL0s4+/nPbQycvXpOxET7vqJ+cDZy7vl2tXm0rdE8w5RTzNqtAKmP5fXtD3A 4RSlzyx+dY8DBodnP4aWT2q8dn9C6cNfDKfX1UWqQoWX+qeBLcM78+/Q8omfDWGMVqteJ/5i GL0uKlLzxgcNBjJBw1vBk9AKh5aPMjSYH/SJFXAe/fiL4fO6cCXtCDXDx/9JvwST1/9fpIrq Amtk/hvg8PoVRaoyL9+OyWetgaG91y8p0kG/SPkBF7A6gbrZwXIAAAAASUVORK5CYII=</item> <item item-id="11">iVBORw0KGgoAAAANSUhEUgAAAGcAAAAXCAYAAAAWY1E4AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHHSURBVGhD7ZfZEcMgDESpi4Koh2po xsUQhEQAg0/ZMh+8GWYSYryLdZgoPxmWGZyBmcEZmBmcgZnBGZh/cJxRXqlyGO/wF2/KeYOz d5HS4TKCz7pyFut1ZSSxeKu1twt95SKlw+Vjn21bI0O6UF6s9o8niJQOlw99dt85IK4UZYYz lbEnkdLh8pXPjQMBlO1eT8W+y88eIZ2Y/Zw2JOAzBH39HtsIDkAvvkYxG2U/tMjLOv9Nc98R L/qE5EmLiza6UznhJUgba0XREOuhRaR04MFyK+c9n4tz4Q6Z2Ea17QfHmbwRPFL2TivJDGUU jHDDK/uX0sG194Mj55OAJOgFpz2JkFg1WWdKaf4sUjrI/eDI+kRAs2lrsZxqJ5E4HwzlU0oy U5s6i5RO5l5w5H0CwStVHAUHbxpLcZUVych/xIXl9esST1CGVb8/p9P+gy9G83T2gjOST7g+ r984EByBZuDeUbwjklisYZT4eZ19jitnBJ8Q+HIpOzi48a1ShuvqTLrGWZ0jjoIzgM9wCMht MgCHAvp4iVyqsGE0Fr9Tr0Rg/nqfLzmncwD9b8D79B7a9z6bVhnHzeBMZJjBGZgZnIGZwRkW 73+AvQ8QYFA9agAAAABJRU5ErkJggg==</item> <item item-id="12">iVBORw0KGgoAAAANSUhEUgAAACMAAAAXCAYAAACBMvbiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEHSURBVEhL7ZXdEYQgDISpKwVRD9XQ DMVEIPwkA4gnw40P7AwPp2g+dhNP4Yd0YEY6MCMVGKsVKsWXRkt3UPPrmq7ukHTGGQQBkuXQ AKBx6ecmtTElIGCVnQHcaEhRt2dCcaWSE1YLsJ0aNHCI5a5HqI+W3Yop1PgHMEGpcZuKFXQJ xjtOQzGFCQV9E6cH2qIEtOxMPPAExuq6gUa+N10Zho0+GH+HyR/mHngC005OLy7pDIcXWoGJ U9R5mqaLj3uGmcT1DoZeSg0lXcggZcUo+H4ZYfslZ6shm8T0TNWRWHx0/NWeeSYeD/VUt+g/ YGoU4UUssl+mqfwP0gr7XjqzRwdmpA/BIF5x/YHLpthOlAAAAABJRU5ErkJggg==</item> <item item-id="13">iVBORw0KGgoAAAANSUhEUgAAAEcAAAAXCAYAAABZPlLoAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGdSURBVFhH7ZbrsYQgDIWpi4Koh2po hmK4CUQBgfDyx3WHb4aZFSVHDklc4Q5NjjkMxxyGYw7DMYfhNsco4YRIh3Im3HEqnVdhdpUv 6eSZY7WTWaAL67SUTlu63OUjOmVZUUCZrLRaus2DLPmATrXn4GIhyFmjssBv8t91Gg0Z065X k8kzUsPVCiM6gD/9nXIb0AHT/P3kmYY5CDWuRjBseNcJ+JPhNsfC68SX3jEHYXTQ/Gs+KUMm c6CJ0YsV8XyAtMmh8LPpjdDRucH4u5nT1rHGwBMRf9hQDVVzjIovEj6Jj42jSFZKIW3bm6vT 1bnZM2dch6D9Feaga/kmy3Qsy2jenBGdyLo5czoBXFOUVbnpgJ+HgO0eM2fOqE5kzZx5HQS0 qCrInLA5XOBHEvAKdA9cOFRWdEJZCk/q0D3enDd1IJqKcRoNucOzIRcNOmK1Wu4VkX7mvKGD xqUHvGYO8PyU11MUT7Bu2hw9c17QgWrI9oDVQT8XSFI3rycC76810Qz633GVQSm1r1OUmh9b 5vw+xxyGYw7DMaeJc39xBGN+HT/kCwAAAABJRU5ErkJggg==</item> <item item-id="14">iVBORw0KGgoAAAANSUhEUgAAABMAAAAXCAYAAADpwXTaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADKSURBVDhP7ZPbEQMhCEWpi4Ksx2ps xmKIRFRQMbMZ/5I748f6ODwuC3RRf9hzdVgKQAB6BUr1hILeD3V3J5tZjoQG1JQpIlLM8ulo LVOAqF7miHRIqGvbM34MIJmkYMAnOQZwWR96VILMfXRgLGn8FlbO+n69x5+HzIoJEn3h5Vxu DPEkuLAUhnN1ZGZ3h979lWgLbHXOK3ftq4HpKFrVXTsuXWqUBKaiTFk0UF8YTb9YLQnHgIdi o+7Axq/2FcyWPpy/U6boJ2BEL8ddKdfNVKOiAAAAAElFTkSuQmCC</item> <item item-id="15">iVBORw0KGgoAAAANSUhEUgAAAD4AAAAXCAYAAABTYvy6AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFeSURBVFhH7ZaBEYMgDEWZi4FYoh0i 07AMw6QggYKCIEGvp3133FXRSz75SRX4UP7Cn8Zf+NOIwrUSKES6FGq/gyq9r/zdUa6K0yKv uAGUWTIBgyAlgqFLLlfF2WFrdUpKJtENSJxegKviVCj2uEtACDp5rbLkZnJVnBKV4eYs19tr rjdH7dkXxx8QPSfBvsWnItxBw6Yh3A8rTl+24tj9E/y/U3E7eKz93CnXc1J2j1vxRhwNjEOt UxSu1VeIr+h6+jpCJcaFt+MkrTDJ4oGN8O1kLVtRq5DkmPDeOAF+S+VkwpchUggchkucuovF /c8R4d1xVtTeG4GEJ5ZanXpIJi75xlf6bLLynKiCmX2PxClY2/33nz/Ve9mvuAE1zZ6L8LkV 57AnnKY2XXFJhyGXE4U70cxE4ze9X+ViU0sVW4BaK+59rycI/w0MwCFn3UC4r+LR7/zbVPwo DxWO+AHnu800XXEzNwAAAABJRU5ErkJggg==</item> <item item-id="16">iVBORw0KGgoAAAANSUhEUgAAAF8AAAAWCAYAAACmG0BRAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHvSURBVGhD7ZaLjcMgDIaZKwOxx22Q abJMhuFi87J5xSS03El8UiolBfv3j51WmcU0lvkTWeZPZJk/kWX+RJb5Exls/mG00tdnP4dW Ril6+TgQkzzXP49zjECu817hOPMPTYQ85NzNxgrynGbfNrOf/hbWkftvI9V5wyDzSx0PQpQR NADHFbaRCs59y+PgupeH/QapzozoSzDfjxPdnAaDe1XoONhLRVjsGN6LyWF5ronKY1tw3W0C W+zrqSwg1cmJvrDOxwPY9kuuhZvvisiKhWDpgSTvv+7CvWGlfITZ3S/VGUh8cU8Re5KxGG6+ 3Zidbu1d78ZSpKmIE9oMYNf05Mh/MJOrW7BEJ4H4wt/5iZHM/IqZ6YEFXpkPHXXFRD2tGJWG +BpSnYS2+fEVwsxPvvN8wvxDxzy2Uwvxkbnmi3Q6H8JkVM13xcR10fyqycm0BB6azw4caY01 1yth1GunTyehbj43OSRoGglJ84lo7ymDuQsbrKZCh2OO2lR8jm6dlJb5iFsQO6JgLgG6KU9I /gkwg1yHsGd07XWRwnxB4Ur+jd13qo894pCe6eSQGO5JEQh4WxtS6f4G56671udAzu93/UgG mX+B0yI9ADj9N8bZ6RFr+6OMMx+RdCMY3zclnP/f8Z6m+YvPssyfhjG/X8tDR+ij4dwAAAAA SUVORK5CYII=</item> <item item-id="17">iVBORw0KGgoAAAANSUhEUgAAAC0AAAAXCAYAAACf+8ZRAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAD3SURBVFhH7ZUBDsQQEEWdy4Gcx2lc xmFmByODVV2tVU28RLKaWG/Grwp4IVt6Flt6FstLWy1BCOGHMuHZ2tJGoayC4GpAkXgibUFL ruZ5Kj6uCKlTaa7kGmET7sxNrAYpJGhLcwc9I+kgHLPDG0cRHFhhuv7vZNGIkCfNqIq800YJ kFSqfyE6jsGt5SZUxtl/XZL283SRWzDo6H+hJk2Ox9IUeo7E5BfV+zQzjRTS33Hok74dj8p+ 3im7PQZLDyE7bb7dWJqkQicwS93xiOvH5r7vi+g7nwiU8wc5lkbKKy/+fpqmNB85jqlhbnMi vSZbehYvlAb4AOp3IZF2DP2NAAAAAElFTkSuQmCC</item> <item item-id="18">iVBORw0KGgoAAAANSUhEUgAAADQAAAAXCAYAAABEQGxzAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEgSURBVFhH7ZaNDYQgDIWZi4GYh2lY xmF6LT9SaDhBiRLjl5BcOKh99FFV8DI+QavzCVqdXZAzCpTiw4AL/4Dh8ybMrsEGVmNO2uKv QFmhzYIuxCRoowabdi0BO+imICKK0iz7zWpYqjAMyu2/IMQvUrEizhTizhGtISp/nS5BOQEc zdKwNSzg3XQKIqJHG4KoiaTK+aADnpQNqBoDsQYqhPZAu9EDRHx/z7h9SPx8O/XQJciZ3NHC aVbJktDCZsF+Awc7jUNBtKBMTFpPWmxM0G2Wk4kG/Dw+qH1nnquQPxwpiHWs6oSSmH3Q5mHL pfgz71n1BRNfM42mcEDdFESTeI5zgpC6bV9/+c7htKBsIxxPXJ4GFwStySdodV4mCOAHC1F6 NkZ4X1oAAAAASUVORK5CYII=</item> <item item-id="19">iVBORw0KGgoAAAANSUhEUgAAAJYAAAAtCAYAAABMDJJUAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOlSURBVHhe7ZmJcYQwDEW3LgqiHqqh mS2GSLJkfMgGAmSP/DfjSdg1YFnPB+xjAeAGIBa4BYgFbgFigVuAWOAWINYlPJdpeCyPYaL/ AAOxTjMv44Ok4gKxIhDrIp7TALESINZFQKwciHURECsHYl0ExMqBWBcBsXIg1kVArByIdREQ KwdiXcQ84j1WCsQ6TfKCVMqwTLCrFCt00jjr4YuQZUUTtactMlto/eEjs6o/CWkMdWFZO3W2 Zsp5pHqe8Pk1e32d5uQxDMtg/3uF2pOItY68l4olnTBSa+RgU3SRKlYI9T9TLqIhwHMa42fV Xk7OCclsRW0Dr9kvm9dYBUxz4e8ruS5dT48Cz0lMfJ1YIYDs/hx0K2Bpr0moZGJ+GA2xUrxk BnFaMfNgG5extwek+45jkMvNPbeLvi8HuS9W4KRYZvJFiZT7Fx3rfWZ4Er18cJygEov6d8oD qZPZzwHXl5mqJy2LNet1HFHmkc+rVw9X8ikcN8SyxlL5ywx5osiIa4jiddZXiUWxF4GUyZRj itdf5jiPdr3ONkHECn/d/pT77RGL6uixK1a8uHejDukm2i1b2Zb7HRBLv8uCO9jmt0La3u8z EymWLLEFfL3k/OaSSfVCNe3P5By+X/pd2pyqLVx6YsWT5fgPk+SJtTUDxcGQFn9ZOCO+W/9g 2aQaFJTMok3pLBES68fKcLzZ6SpuFWYUy65pbWCZ7PoNsTKxqc5+sTpJvRpPZO+zJmEJ/4in QhsQaedWYlE83T2Wblm8BNn1vVLWT8QygaQOfb725R6xqFZ/j9U43uD0UqgdtdX4FkfqviWV WDVVjI0ccT1vgLnLYSaW3oPaMcT9GbNPrMD8ZjMWw50bG1sH46Mjt7MsfAR7xSriDJ+VeWv0 heY0k64Qy+rkE8FesTQXekToFCiFgpv14nbsBntPQq2jss4S9H4WjHUAlY9Y/ppYPyYlD5yo 66xVnPOlFHlL+kvKQEKl5yWSpPuzNB+h3sabd/Jhx44SgONALHALEOs3lEtKsWy1l/L/A8T6 BeWeI5NHNuC259z78PF9QKzDkCxNU8ImuhLNfST/biDWUWRGaixzskR6T2L9VwjfCMQ6xMZr gWwZNP7ncgixfs0qWZQGYkUg1knkJxKzxhNLnyAhFjgGy2TWYI8VgVhnIbHW2ah+KvR/T/t+ INYZeDYqpeEZLH6G91hgD7pfik+EjZkIb94hFrgJiAVuAWKBW4BY4BYgFriBZfkBJlFpSkZ6 gSkAAAAASUVORK5CYII=</item> <item item-id="20">iVBORw0KGgoAAAANSUhEUgAAADMAAAAVCAYAAADrVNYBAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADvSURBVFhH7ZWNDYQgDEaZi4GYh2lY hmF65U8BCzSHZ/DCS0jEGPq9girgj9gyq7JlVqWSMaCEAGXi9EGsliCwthu8+ha0xOelxqtA JhNE+IvdiFFYV2ECP2E09MzakEGsBvm4TOhwUdPJZSFb+N1cSsbXlKDz5NQ9AqZMPI9uGztm 6YyPRpfiiCV47y5LRqSu+ELtDlHBqdHl1zLHIsztnoKSqXM0+EJmvOgUVMOYTbxVhjpS1Ohz /ZrVIVssKIMUn2Le++IwCtenZbIfkdtiE0SO+ahNk/gux3qlyPVPX2Y98zHa9h62zKpsmTUB +AAZzUmI4LiV0AAAAABJRU5ErkJggg==</item> <item item-id="21">iVBORw0KGgoAAAANSUhEUgAAACsAAAAVCAYAAADfLRcdAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADMSURBVEhL7ZQBDsMgCAB9Fw/yPb7G z/AYCgNXTdaNLRq6xEts1Gq9Iproj9iyq9iyqxhlsRCkRLlaO4xKmT2SleZzyppo/zIGEc38 VLAAO2n7fpFFJLSqIvJAhTsnyCIVkB05ozEVcTKhC9kmIEX/KgTxgfKM9EvZXrDm76Km498U 57ZprrZ57pzVkxmVx00aOHpuWRkcg6akT/bR58/bWWnQI9+UaR9k7aD9sMA0xMkO2SjLjInt 2f7JV1fNw/rp8ja4OVt2FVt2DUQHeh471eKY87oAAAAASUVORK5CYII=</item> <item item-id="22">iVBORw0KGgoAAAANSUhEUgAAAIAAAAAvCAYAAAArdMLwAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOUSURBVHhe7ZrZdaswEEDVwOvDNdDF a4I64g6ohq904mIURjtaR4CEgbnncBKZhG2uRiNhxolHQwLUMI+csZHPqvn1fCY+sIFPH9WO QAIgmUfG2XiZ0Dt8+DQwPiQsIAEQQPAvGXuHzzREJSABSkDav3r0FTGRSYAsMx8xY74Ya6+Q JcL7IQEyQNosBlUFn11CgHAoIAGSIHs/0C0DyIJu33nW90UCpKgZ+7sJAMHbfx63FiABElRV /kYA2UNhOGCF+Xc9Mvjy2LDpXuycc5iWFoJFbj0MkABR4KFWBNDUAfZ/xLoBdgjBEsk0cB4d TBjfUVkLjqNkIQGiVIz/QHQISKdrKUdmSwXRP49ou9eJvW77dyRADKeHoMgIkFqB24R/HqhT VteJLRLh70iANPCgy0/REhNAfHZwHeCdJ0z5WAHAHXltJECM2tW/QABVmNUcAwMJ0IkNy78i GEtw9HZo6jcoscQ5lhS+eQggAfJsEOAUREZwij6/nYEEyHEVARb8aSA28wQCBFMTnVrgYTif t0ltZfzraxqfCwmwGhYqrjmeAYJiBsCPK62wls99BHi/OHu9VeOevF//+P9fhADw8M8MPgR9 taASlfRgLpUBtoHIAFt6vk5HuEIEhR9wEuAQCgKcn/YBf2ol1tpnXwBnDIQtWMHL7Df3K7OM EffpAuiHtbfgCwpLf8M85GwGkMG116mCbYKc2b8qbr2MRRnABu+sqt+QE0AE0QtezX7/2Bqk AFag79tKoGYBXyGBHySnLYcIv96wL2FK+4NjaygDqPbCHgmaDwGih/sBdGYNpf0kQFkA4NRM kBNAj+lOLxe93qsBkvtTAjxxHSDoreYh6go5ts8nfOC7UD3YbOPoXIs02J5TbcG1pfav72sl wWMzACF5ogDsZ+1CbftWPE0ACKYb0C3tW9FVAKco7UggwBE/b0M3AWwdcpoAbvDg9z3t2wCz g14RSc1EmgKFcUQAYG/7FkBQkjOdgzlbAPUJsWJJzd0FcKarzW2AoUdO1UmAKLaHNEcJYNY1 oP44+uvkPk6GIwESwMJYl7TsDwGi3ViARTK9qksCpOg1E4gK0FY+V24SIIkdJ5vSXYD1fZEA GaCnNH8B1lkAeBnm3hMJkKV1FoDjq8rf+bqbaR/uXng/JEAB8fq4XT7uSqywJQEQdJsRNMRP /RoSAMmVJUgFHyABKgAJDvuySw9UQZkrZEmAR8P5H0uBvWNy3aVdAAAAAElFTkSuQmCC</item> <item item-id="23">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAVCAYAAAD/wUjgAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEmSURBVFhH7ZZbFsQQDECty4Ksx2q6 GYvJ1LMSMR0t4yf3HB841bjxUiAgRAhBhBBECEGEEIiQA4xSYI5U3YizGtQZiy9v4zlMHKcU bcHFDtSurauFOLA6dmwXEgI1Z3pCZU6SnAXdjBPnXLfhFcJ+9G/aIIOgnNWnMHPzK4fOdYKQ vLJyRl8SYtBwrt4Lrm0UNDdGeuKrELT3xiw9B22XzIRtU+bWl+G5ETKeleYAo+VuVouF5Dj8 AcrREbLxtuGEkEQ9ohojJ42TwgrJFrcICTGsPkP6UrpbJr4DNmwZ5sALsSy6ZXxMtZQfDtVJ t8cI6Jpd+Q5ppVxC0gcxk3Fl1K/FvpjJ127i/qWa/lvE0fpFs2qJbNQX2oWCCCGIEIIIIYgQ BMAHiCDB8n9zMwUAAAAASUVORK5CYII=</item> <item item-id="24">iVBORw0KGgoAAAANSUhEUgAAAFgAAAAXCAYAAACPm4iNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGISURBVGhD7ZZREoQgCIY9lwfqPJ2m y3QYV1Q2NEvU2O2Bb8aZnEWEH2gzThFFBRZGBRZGBRZGBRZGBT6xucUYt2xpy6Z+TgXO2N1q jTPdAkdxa+eIwNF5f+WkeCoe8LN4CZjsq7MjHXxxjgg8OhoIVr8jmVtm40FeIfDR4nFBQE8l OEItHgCL6Jdd/Y7DnMDbQuK4E+N7jsTo7Y8OzhwfRqMCZ4HVVstxpSPAp12jrPtq2z4CswJb l668J50zJtlvS3i+EBiIIrNykKCMJ+ypUNDldeGmivu9t3OCq/GyBSYjyx7NScp4oCOyu7kN MNbBWIyqf7ShP5bxok3ang2KBNijknj6FXF+JcgKDH7DnTjyLcYF5ibyMC8QGIiNwjjfFDgF HDsMHJb7Fmjfkcwtxf2/eEWgKGHFzo1dTOJIpjn0q8ef24ifZFHhSCBUsZ2JLCF5kmC5fyks gbFC/9a4/EzD5zdzKfDxJwWjQsb1V18RVUgc/642k5sOVp5ABRZGBRZGBRbFuQ8FFHWxdbLT ZAAAAABJRU5ErkJggg==</item> <item item-id="25">iVBORw0KGgoAAAANSUhEUgAAADQAAAAVCAYAAAAJiM14AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADYSURBVFhH7ZYBDoMgDAB5Fw/iPbyG z/QxHR2DgQwpEVljuAQTMUKPQlXhw9hC0tlC0klCzihUKmvaIoQHRb+2796bcWiyOY37dDMo MwQWdTUAoNVjg16DZIy/BsBqL/W979EVosytk/EAhJ2RIEGN3I1xIrQ6Mw0opoEgGkKCZOJZ ZvJT6EoBqIrLsTFXKZyd+N6EMxQDW1PV2kQxbhynRUGGVNj+U4SIUalZWy6HxuS+1hUi/pop immgMCShamXTIOVXu3x2A4c/k9G5ygw9gC0knS0kG8QX21kKpWmMphkAAAAASUVORK5C YII=</item> <item item-id="26">iVBORw0KGgoAAAANSUhEUgAAADEAAAAVCAYAAADvoQY8AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADTSURBVFhH7ZSBDcMgDASZywMxD9Ow jIdxcA0KVA0xDUJuxUlEAQX4h3cc/QHbhBW2CSu0JjAQOEc+5v5SIvm0t8ttRMNpIhsYXWAO bMCnp4ABko6zf4eNm0AkzK8CmwIK7eAlhuJUwToGRFyYQApQ8qk/kSmwBghvN9Pno4laePTc 7+dTvuk05alKLZR5U2tC/horI1bMgDICahPaBecgcZ5n4jXWr4tZcarhNbXTbkzkAv9CxCNY x0BxtyYSbXEtilH0zZ7u0d/pR9kmrLBN2IDoAIeZPGm6kYxQAAAAAElFTkSuQmCC</item> <item item-id="27">iVBORw0KGgoAAAANSUhEUgAAAJkAAAA7CAYAAABoiChfAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOpSURBVHhe7ZwNtqIwDEZZFwtiH7MD VsNmXAwDSUvTXys22le/e07PkREljbdpi76ZdgCUgWRAHUgG1IFkQB1IBtSBZEAdSAbUgWRA HUgG1IFkQB1IBtSBZEAdSPZRtn2Zpn3ZHvs6T/t0PJ7Xh3luXCDZx3BiTdO8k1vbcjxeDvXG BpJ9FBZtsVY91n2GZKAtkAxoQCJZsSAZaA2tuXgdBsmAHqKSbYtc+PNOk47n9dBvXCCZNt50 +ZtAMgVcxXINkoFmkGBi+rPCQTLQBpoazY1WC6ZLSNaSxzofVSvYLUIySNYUumWBShZySRYv Vu2IFFvts93K1vke9+4H1cf17/Y12mFjEnF0Idl38+9XMpOQqOTTTcRghNbS4kvg2rjovJtx NiNIvmhfEa2D/MfTpXlD+ROUc61xL0GpERTc9a6lNi46782kDkMf+U+uyXgBa4w8RsLd3zyd pTZ+LY/0O9LWxkXn3blAh6RugYQfrpcXQS/5zyz82XYq88lobKCl885zwo7z6+z08XoZfxaX oaKauRjKrQdINHHvzZfM5KTj/BeyaAJKBm+DdFZHIym3FjBltxRjmVxcEj6ndIpLdLn1AFcQ l0tfMu5rVFU6yn+hkh0BUqCJgMJA6diXLEzMxVudfBLXRSbxf5VAGE+yTD57yn9Ssm1xwvCa IAg2KZl/UY1OPo3rYkTJXN89yYLnLD3lP5LM6wDBL/DKY4Vk3Pl2nayK64KfK13DTofPWonU +S1ajN8fmYusTB3l3+sRBZx4EXdEVIYayehC8QhLn1umOi4LXSM3yhj5oZZaL3BfuU/nY0pH MZf95N9kUewazibe0L7R1eaZguTjoxMbB30di+ult9DyWlIEMzK8f3slLn/3lUrKn8cI4vqd kEjQS/6Vh2pmNBV4rMtL58ec15SJGo/zQ6wbQ33kX38+oNFX29Fz5LwjCI/GEYuYpF6ygw7y /6FFR011OTv42qjzqblGb9gPxU1L8fQW85JkxHfz38/K9udwYl1rq9yO8I8Dyb4Ki3ZVpWBX NgqQ7KtAMqAOJAMtIHHiHRcDycC70EKeF/cpyfj7P7vw550mHQ/2F+WQTBuvkgWV60eAZNp4 ktn7YvTMzwDJFHDToGvLJqZDauOtvXJAssaQYLn/pqC4CRgXSNYSkij4akaKBcnAu/DPX4Jp EJJBsqakfgoNySBZW+ziXlQzSAbJ2hPuIl3z/k4Vu0sA2gHJgDqQDKgDyYA6kAwos+//AaPb I5x/214HAAAAAElFTkSuQmCC</item> <item item-id="28">iVBORw0KGgoAAAANSUhEUgAAAIIAAAAWCAYAAAAM9ESoAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIzSURBVGhD7ZaNza0gDIady4HY427g NC7jMFxoQctPEfQgfEmfxOREOe3b9gVdtCAYxAgCIEYQADGCAIgRBECMIACnEXa16GWhl9I7 PtGK3ld4Fzn0tpp762Z+lbAxfLw26nX9e5xjHsb1KTwRjk2vQRCPHfiqt2DaJEHJCLvKxGuk Vhesi3X+EQb3KX01uGArWXVsqw4OAoJ9xhsh53A8Rbh4LLW6YN3Lhn7O+D5lvxFguN4xxqk0 aEzJCPa4Sv+LJ0lzgYZaXbDuNgE2+vUudPijmaaNBxDoJ8zQJ+Zj0TfJXDdKIFjWCLaQuGgs 7nxfNQ+hUtegUwHMQHoRGsFpT3TP0SfGCBYn5qkRuHeeO7puwhao0YVrWnKkH1vRVREMd+JV c2gE1JTszkn6VDgRjDgQWRbDGSFuysmrAmt1MU3vTTTUwAhM3bP0KWuEXV1HFe6UjFDHl0ao 1zXSCJfGwAjRM88sfUqMEIgHcDF3xHBGwMJ/V2CbLnzWkuMXr4Y4L9XMDnySPgVGALGZP2AR +R0GDcwZAZKkO+BJgc26IAe3C/qCmjC3/Q2yizXP0SdnBPKVaS8SzAc5r3PozmnnlRZjTZKa h+aiw/Lx6L0nutyz2w762B0M44Z46csMmjBDn5iPxV/BuL3Asamm9Sk2Z4fhPsA2+taPwPg+ dTaCAXZHbZHW2W+GiLulrvn9qTeCYXCf+hsBqNmltri2XRFSk+NbmowAjOvTR0YQZkeMIBi0 /g+h+SyPLfBp1wAAAABJRU5ErkJggg==</item> <item item-id="29">iVBORw0KGgoAAAANSUhEUgAAATIAAAAxCAYAAABZJSXfAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAXrSURBVHhe7ZzbceM6EESVwM3DtSEo i01CeTgDRqOvm4mC4XIGADV4kQPwDfapYpUly8Sg2W6AAO1HDwAAFwdBBsCRvF/94/Hq3/Yl SPDp+ufj2Xcf+zoBggyAg3i/Hv3jhQjT8em756N/ZtIMQQbAAVCIIcPK+XTPZJghyADYG7qd RIpVkxoEEGQA7Mq7f2FNbCGxhggyAHaEbo0wGVtOeIuJIANgNzAbWw9fSwQZAHuBtbFVkWtl CLIt4edfsDsFDFU7lfBQnmFgcLeXCLKt4AcdH3zAhGBIpL57Tj/UGQEPTUMh/+wGZRFk24LR FIxUro/BQxN8NUWQbQlMCBxi9lAEPDQBzXIRZJvAf3YyGE8eMCHgQFIaAR7S836Z23UE2Yqw AcWo6wwJE4LBDKodS3ioDATZ2vAtQLCYi9sC4NAEGTxUDIJsZehJ4+jfscCEwKEIMnioHATZ 2vBWOUZTkEEzI4OHiomCLF5gdCMDbXGK90dF/fenha7ceh7Q1/Vb3cY6uHpEDbuZ8A76lnBC PTRBNrYhznuKIDuvv9IzMiuaJyQTPsz33fbkVzwlzojNo0ydCCPauvhzwYi2K8HFEcdmRryV vgrOqsfvT//4+bUvpjjAQ1Oc3F+/P//1f/9P3VraRuVflkd/sf/ugsaooKHQSOlUkpvPFl8U TV0Ef26h8JfhKvpSTXtckxProZqRnY3z+2tyjYwaGO/VhwsgG8/BU8igKnov/lkz4tRcU21d /LnZBswFWTzaLMRNvWW54QX2+i04t74SfZA1q8dBQda6v2YW+90v+XCoTphKaepwKI4Rgc/L R2mIKOuqmjUcB5tNPDvkG832OervlfSl8+o/36QeBwUZ0bK/FLuWtmiN+NSwEIqhC5cqhous S3SDpi7zmZI23MiVPeoLnsWMVF+tfKOZvkSj16X0LQuyJvU4MMha9pdiRjZ0gjszf0J3Mkko 3sgiIbR1ZS7OWQlM4xkto9fZ9V00MDSoB/eprojltKinZTLIZDAZQyY6ZPFEEWwhhL6uKwbZ t2+epsH3HNfS1xrYvpqlBT1su2N4Ud01RaxBw/5y54yCzOskY06avAiDCOHF69zHWKD1hCiq y36vpA0j7MQxc7Lkz2SOGL9e2desoS6lb2GQBedvQg+qb6aIlFdqjpgG9bQkg4w7lfhp09kg IbmjoYiy41RMnPQ1QhTVRXAbiYtwYkxfTM30NXd3Uqsr6VsaZK7thvRQBNmWNKenJQgyMpoI JNGoa2w8nl3/Dt9zR1AszXKiIr22ZLEmhf33yupyLeWE83Hn1gm2C9Yk334ljCQ4t74SaqdC 55b0ODjImAb9lb21XJdMqk/w6V5Fn4+hNit+aU4EXUjddbyHvk3ooX6yf3ta8lf+yf614VFA K0blyD1CIpRNe8+I3mgDN9C3CT3OMCOztOSvnWZkDk3KkghawVJo2rgGRUZj2ta3CT2uGmTM ef21c5ABcHNOFGQtgSDbA7u4Cv+C6iATHoofEXIzGJrNiPdvZDgE2daQca2xEGSgKshSHrLB 5u8OEktv7a4JgmwPvBkZGQ2hdlvICzUXPzWrt+/JRyPK171a4BveCLIt8Uxopv8IsptCXhDP SqlJBdkABdf4HNgwc4uf97oDCLLNiNcxyITBGkbF7gy4OoMHlEGW9pD95oiZ4fP3bzs6fnc6 EWQrwgYUZnWGZJ9lRlZwF3RrWJMeirAD5F1NJWa5CLK14KAKjCrDC0F2eyiUJq//nIc8KBiH 2YjdELilr8QtNYJsJcyaRXDLiCADkpmdy1kPCdxunfmaZm33W66QAwOCbC14ZMSMDEzxXdNJ MuchS7xDecdbTF9LBNlqWDNJoyLIQADNIvI7jDMe4pfp/wxhZnNT524L6q/sK4JsVZwR4+P1 FrtMN7wNAA5/JhGT99Dzj3gtwsyF2HjUPOZxKWINEWQA7ExuVgV0pDZNEGQAHMDsDiZIEt5S OhBkABwEwqyMXIgRCDIADoTCDGumM9gNj6mNDAQZAODi9P0/5a15ujb+BB4AAAAASUVORK5C YII=</item> <item item-id="30">iVBORw0KGgoAAAANSUhEUgAAAfkAAAB0CAYAAACG70tWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABFVSURBVHhe7Z3rlaygtkY7gZNHjxNC Z7B/3iQqj86go6lfJ5MOpq4LtBoVFXCBgHOO4R67Hgqs1yeo1R8vAAAA6BJEXoXn6/Hx8frw bI/n+BWA0xBnAK3xfPhz9kMxaffaQORVkOL7GP4FyAlxBtAFz4eqyHsZ20DkVaD4QgmIM4Au QORbg+ILJSDOAKpGhNVZKt8EkW8Nii+UgDgDqJbfn9fXJNzy/0Hov35+7esliHxrUHyhBMQZ QK38Pp8vV9J/f75eH18/s/feIPKtQfGFEhBnAM0gIovI9wLFF0pQMM6kQBDT+TDLuV+vrdXc YuDnYxJ9JTN5luu7IUPxNckXcAMH3IgyIm+euSXmCvD7+vnauW6bGfwcQ6yvhlzdmsULiHxr KBffmBs44EbkF3kp/NT9suzO+DKBn9MI9dXzcZCniHxr6BbfqBs44EZkFvkShQe8FBVd/HyK I19JvT40LyLfGgWKLyIPWeMs/yoB7FHK/vj5PDs2HGr1bKY/vPZqOSLfGnkT54rlPKiRfHEW NPuArJTIc/ysg89X8t77Pqr3tn0ygMg3RU6RH47NLB4MueIs70kqhJLbD/hZj5O2RORbI1/y HN7AATciU5yVKDgQRNZr8/hZlVO+QuRbQ6H4jnfRu35naQ3m5BH5pGLlidcgUve7C0NhzrVk X9TPd+CMrxD51lBYujHXb5xkWgbQ8JpEuzs5RF6e/438oQ9fvIaQut+dEFHNcnmuoJ/vwhlf iW1zG3VsA5FXQXcmH3UDB9yIHCKfeMzUGR4zwwNy+Fgo7OdbcMJXiHxrfL8+Pz6Hf09AMsEh CnG2ROIuZTaCyGdCZtwZRL60n2/BCV89/w0Tt3/6fnYZ20DkVUg7o5NrZMsZO8kE22SY5UkR Dwy61HglzuN4PjL8pn0BP9+RdF/lWrFxsW0g8irEO8wkknNmPSUWyQTbZCgMgcuGqfFKnMeT ReQz+/muIPK3IdJhZglsERwsi8EhF4l8arwS50lcJvL4KxpE/jbEOczeWLf4PskEh1wj8qnx SpyncZXI4694EPnbEOkwSTjOmCGaa0Q+OV6J8yQum8njr2iaEvnp2svfNnVAvui8//b2/P39 IEgfUHi/vpPbOE/s+Ka+O/tUkUy9+ymW2uwR0p/58Q/jKaT4v4/ptB0Ur6n75SbEjn5KxPll Iv8eA/4Kpb2Z/OjQmZMNyx9SmHfQu8wzYc4OTw4mtF/mexkS5JAUhy2CzNkuSahb+CmCKu1x FGfzR3psXh7E0/fn6+Mz5KG81HglzmPj/PvzP6//+9/4Qovsfs5E5f5K99VRLmtg21gv148G cX9tTYrFzMG/v4N5XORgPuP4BiKGTQiYkH4J5nu5jbekhMNy0oqf5iKWj1rtcRBnz59FDto+ 787gpIhGD6pV2ojz8NlhRD406ef6/dXeTH5EBv++NjMEh2sYL2IYj9VlqWS9rzSc4KSB0H6Z 7x02MBZAFUOXcNg+07KUO+xlEM/s51C3n1zCi1qf9oiPM2OHvWM2VvzvEOc9iXzv/mpW5G3w WOccDlYE3vtLStLA0gDWQea4ZosdZGC/Es6ez1HCYceYhHJ8MU+m0XYru7Xkp4iiNtCfPWLj zLa716QUu90+VUjvcd7bTL5nfzUs8sJo0B1jmDOeLYNLUPkGYQyYdiZmOe7X9J2YNkwgvsfi 2Q7by+2wY6w//voxTyZrk9XZa1N+iihqA/3ZQz4PH7/ps/cE3KFBke89znsT+Z791fhMfuiA MfTxYK0T545aOvbNKSeF9msjcLJRwmEBLBJjlkwbdq/dT6dOvrqzR1ycBRUg6VPaoK6jwzh3 2fNbcj5c6eeO/dWsyLsdt0F11Bkx3twoOZwU3q+4pDpPCYcFYIL3z0azZFp8NtGWn8YkHV8d 0oM9xnZtgQ6Ps9lYXWbHGxA7pAzqSjqPc/e4+0Tkw5V+7thf4b5aEp7L6dg2ViK/Lg52wEcB IkabfcU4T89Jcf2yn8W0YZ2+s+0ebN9h3uMpbGvm43Zttpk0TfkpUuQXx2/fHvJ5wPiHMSxP FH62dpLxHgzKF3tbm4vv85RtTW9+nXOVyPtsn7Kt6ddfzYm8MbhnZNYRO2c2YvjVtT9pwGOA BCdF98u0kduALiUcFoa1ie2L/N+YbdfmLfkpVuSntnuxR0CcmeK4LLw7+wQU/xrpy69zupvJ D/Tqr4ZEXoLFKQqOQSZDvDcR82Uh2bi5R2bHKwPO2nIHKR1avhfZL/ezwyiYjq1h6AIOc21+ NLYxEf7ssx+IdfvJRdpJsHM39tiPs9Wxp23vmI2KvKHTOO9R5A0d+iufyI99f/fr6LUP24Zv bUURaSTOCL8/j0SjTRwZLweZ25TkmIJuTJR18K+RYA2L1Xv4qX17fL8+Pz6HfxUJ/iW0eukt zq/9xbv89OSvZF89/w0nF/+i4iIeO5bMIj9gRCnUUXJ2cqbwy6DilnJ0iE/kGH6fz9nZmjnT 3D2Ds4Qn08AN/NS+PTLEWcsz+ZHe4jx9drhDRX7uyV/JviriD1sv8ou8IaQ4iYPOBHeGAhhM 4bYlQLRF3tC3n9q3Rwbb3U3kDXXHOSK/pF5/IfK3IT2hU5AkCVmuh97IEGcdiHxv9C7yPYHI 34aSIj+0FTCLhx6pSOTNMmrCJRdnP7mxanbz03tsMk7n/ZuJU1Uij792QeRvQ4biu8HzUepk AuqjEpGXfcaCHrWrb79RROZ3RQtnl1/bpRqRx1+HIPK3oYzIx1/Lgr7IEGdStFOCypnh2QIf KPiz/UbG99xLUPeN9UxiqeLnEfw1csJXiHxrKBRfXzK5DEExuw4/vL5fUt2dTCKfcvlnFq/S rxMiPyAi8X5uehnrtyKjyJ/28x/4S0Dkb8TJ4isOHxJptizmYBPKfv635V85gNrIIPJyzMDi v74mK/FqBf7vvXX//PuNH76xqwHm8+zFr2Zy+Fg46+fxwzf465SvEPnWUEjM2RmzTaBb1zrw kEMAwmYjpvA7IjEJgYnRjdmesLvfChnfnUVjIHXGfYiCn1fc3F9nfIXIt4a2yNvkuXOtAx8K ceZBCvlurJnYXAiEG6+z2HU42m+GiNAwtnFV67axP4w/19L3aT/PwF+nfIXIt0Za8Z3Okt0t ZPkT7koekT8qOPZy0aJdt/hvCMHhfg7uXco2L+4Z94dCfIazfnbAXyd9hci3RnzxNYmRsPwJ dyaTyB8dVwpSykz+aL8REZf5vtKfIR9ulwC5/Dtx0s8j+Es46StEvjUiHW4SJ6Fows05WVh2 kJPM7aXHsYi7bQfF68F+5uUwe/QEup1Vhv0hpl6QMece7yk/m5f4SzjtK0S+NeKKr02IxfeD iibcm7g4i+Po2JMArLfH094oal8vj7G939d/nddOsE+C8d6y3IhWGzl965LuZ/w1oeArRL41 Ip1+tCyGyIMXheKygynWBN0lnLq+Gwl+PoeKrxD51ogtvvJ9Oet19kHk4ZC8Ii+UFBuwiOiW XubGz2mo+QqRb42U4jsJ/XrbX/6E+5Jf5AUEoBxXCPwEfo5D1VeIfGuUKb5wd/ZODMevKCEC wAlmRsbVuqsEfgI/B3DSV9bGng2RbwlEHgAAagKRVwSRBwCAmkDkFUHkAQCgJhB5RRB5AACo CUReEUQeAABqApFXBJEHAICaQOQVQeQBAKAmEHlFEHkAAKgJRF4RRB4AAGoCkVcEkQcAgJpA 5BVB5AEAoCYQeUUQ+Sowf8K31O9CAwDUDCKvCCJ/OfJHJCZhr+SPfwAAXAcirwgifzW/z+fL lXT5s5AfXz+z9wAA7gMirwgiXx2ydI/IA8BtQeQVQeRrQ2byLNcDwH1B5BVB5Oti8AezeAC4 NYi8Ioh8TTwf+AIA7g4irwgi7yX3I23jXfTuoWWZnqfnMuGxN+yAveBSEHlFEPkVuR9pc04g 3kV0eG/WxvCaAquEz96wDfaCy0HkFUHklxR5pM2ZKZnjj0X1b8MnqjAzjQN7waUg8oog8ofI zCajyEMBsHcc2AsuBZFXBJE/QuuRtudjOVuniOYEe8eBvaAeEHlFEPl9BvsozOJNAXWOMxVU imgesHcc2AvqApFXBJHfQ+WRNrP0+fWaLQawHJoP7B0H9oLqQOQVQeS30Hqkzd5Yt7AxRTQb 2DsO7AX1gcgrgsh70XykzTySxEypGNg7DuwF1YHIK1KjyKf3abqW+LdNx5FjOu8/vjfbsDMb 57tmO2OjqW3nGNUV0Wttrkut9q7Vxlfaq1abwLXYuEDkVUhPsiyYWcXJ/owFan2c39fPlzNj Md9bzGCysSg8zna50Hdp88rsXb2NL7BXt7kO50HkFYkReUmck0m5i68v0mZCoRmT311y915j N9/LOabaacXmuWMvJ8T1GmwCe9j4QORV8CXbFseF1vfozTLh5PXqGuCA7Du7Dm6Q/iUk/sCs nWHWsD62xXwvpYFKuIfNrxV54noNNoF8WF1C5FWwxgwL+7BCa5LfeeZ2nvj2bH2daNKPZTGw SS+FxG6xRX5sS/bdS+wOzvD7t3lY7OWEuF6DTSAPEg+IvBLWmGFBH1Zozdmyc8x54ttkXp1p b12fM0mZdnZvGYvH7gHsd9LbuJ7+bR4WezkhrtdgE8iD+AmRV8IacyvmzZm6JM7W5suWRRLP En8jkZfF4s2pxB+FwfRn7xgbxaglOrR5UuzlhLheg00gC1aXEHkVrDHD8ipwNmUS7W85bpb4 i88mciT+8/HXjhWMrb5HJv7Yp+Iis0fvNg+NvZz0YmPN+O0+7uAarC4h8ipYY4blVWihtYk0 Jaub+JsJbgqCXuLPio3B9slf2Ob9jWU2uyy0rend5uEi77NXyramTxv7xr61renTJnA14idE XglrzLCYDy+0boK/k3A3iaUf67P+lMQ3bXt2sH3amtmE2qBe+rZ5BTP5gb5tnAY2AX2sLiHy KlhjhgV9ZKEdk1aSzW6exHaQZbb1Mpq0Oe3vti39Xr7nfnfYnOSfkv69Le4I9hWKajAzn/WY vHRr88jYywlxvQabgCpWlxB5Fawxc4a9JFZYXklf9ovDkt+fR9T31+Qf/ymkeE7GGwvpujiu web5wcZrsAnoYH2FyKuQP/DDE3/ACFlo8p+d3cnY45YHS/P7fL5nIYLY0p2ZbIHN84ON12AT 0MHqEiKvgjVmztiPSnxDSJ8k6eNmAnPyjzsLsnSvLfIGbB4LNl6DTUAH6zNEXoXv1+fH5/Av tIAU0ZDlegCAZnn+e318DNv4Ek7BWW47DL4KmMWDh/F+Bpll2ueo3W2Kf8kF5/24KWlfOPYC KI6sWA7Bh8irgMi3wvOBn5Jwnk54i9YoYvM7toWzS8Md4LMXQEkQeU0Q+RaIv9YJM3wz0/E9 9/IHdh6Z2UtOfBB8KAgirwkiXwSnaEYvFw8BP7sOP7ym4EbiE/kBEfX3M91LO9+Zmb1sXBJz UAxEXhNEPjsSsKNwvwvlWESPloutCDnC790HfKxPpnxCZWep5vObq5jfXosTT2IPSoDIa4LI F8E3kxzfY7lYHyNYzk2Kk4D5bTsK2Y0Nv2uvjVUQgGwg8pog8kXYKJQsF2fA2Hpx89ymUMlM foj/cbXllkJ2ZK9N2wFkApHXBJHPhX/5c/zwDcvF2tgTp0VMbwhV+J8o7ZdDeyHyUBpEXhNE Pge7y58rWC5WxczKj2fy60sjN/XDkb0QeSgNIq8JIq+OKYosF1/HKNZuXC/sb2avHmPbWW3Y HwHqhwN7IfJQGkReE0ReG5aLa2ASrvX29V/nteOQSeDf261+XXDbXo+nc0mJ+IQSIPKaIPLq HC1/jrBcDADgAZHXBJHXZ5oVOXZluRgAIAxEXhNEPg+T0K83losBAHZA5DVB5AEAoCIQeU0Q eQAAqAhEXhNEHgAAKgKR12T72rFzuRgAAEAd3y+Dmg2RBwAA6JXX6/8BoW4WBfludTYAAAAA SUVORK5CYII=</item> <item item-id="31">iVBORw0KGgoAAAANSUhEUgAAAG8AAAAXCAYAAAAFtBHMAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJzSURBVGhD7VmJjcQgDExdKYh6qCbN UAyHebI8BoZN4BJpR1ppj+TweMY26G7TP7wWy8xTUurDf38mDi2l8t/fgSXmKbnr/QXCvIVn wHzzlNTiRYIoKfRb6E42T2m5i4ePyxyHFrs0zJ+P07xDbHrb4k8Q3SQTr4tgRbp+LscwXbez D+7DOO8eqOD2pd1H4zrwHJEr7TwS226Sd0ueEAnzeccFLzts2RkC88aw9Ow7RMTbFRxqYDk2 vRAxeUom2VCpbKxQ0FwkEq5GpPXsSyC8UZCgS0Yno8NAbPbMc53kzTCbdauQHY+coQFjFYZi mHcNSTdMhC24TCNurYLKhcVVBHRWUDCuUqoknHHnWXSKFMX8uuoR3kCcAQEvgS0SvLAr5hG8 yI1dXKV7IXISLQHss5QgXTxCp9h9EfYs2ryhOKB55WUp+/RymGMeVafZ1G7e3yiYmIwp+7ug efbnOAlKIE8KQYc3GocpringzBuIzZp3iI/orrp6QrpRlJhnSYDmURLJCHP7jYrX5Y3GaXG/ E1ycgdiFedRFaTL98UkgsZJXBswrx9e4eQhvOA4o4OWxycS3HMEzPzGvTM7Brhsy1dsbJVsE bMzum81DecNxLL/etLkJyTRoaMbAm+eS4ComCHB+KJA/U5I1//4HLQPieEYkaJz5TkpE/YJ3 N45B8d5cxFx5vXhULiz3gEhVuzVGXumNyr/0h2MwDsz7nzHVPCsOWMF0fsTjjRePOoU3FQUS J774PBlzzRsSOxqB7Oyg53eI2otjxvPCkXkFk80zMN33+3/eHMw3z+A1grys0JaY50bVw8+R gfP5KVhk3g/3Q+s/5Qvnc//31CwAAAAASUVORK5CYII=</item> <item item-id="32">iVBORw0KGgoAAAANSUhEUgAAAG8AAAAXCAYAAAAFtBHMAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJXSURBVGhD7VkLroQgDPRcHojzcBou w2F4LR8DiDgo8CTZSUj2oc+2M+1gdjfzw7KYJp6W0ij/+ZtQRkrtP6+BKeJpuZt9AWJWyTNg vHhaGrEQIVoKs0q6g8XTRu7i43aZQxmxS8r8+zjEU2Iz2xavQDoVE++LIEW6f2zHoKnbixf6 oT3vO3DD7ZOnj2NSjo1Nk04ek50QEJAXlE4UnxVMUM7PtDMEzhvD3LMvarJX4jE8EXHyXEwi jJIZIb5zkpvcXrnha9ceAskbhRLNRL6FHYDX4hHsgzbfsVQI0oXWvlKFqaOuut51W1fxCE/y LoLFO03xWHQTjx7lJolHGWK4MEl2EkriZWfRQVIU83HXI3kDcS5zH4eO4jE8yYh4XGweuEaA t7j40Ty5YVJsIVDTlFDPG4oDind+WcpWQw2dJ48mwtrHvb0pUSjU/i8onv07tikW4Ilt3eSN xik012h0Ey8Ww3XXNZEctFhkrXtzcpjsJHFnba3k3eaNxqnlPghdxDuLUbEhIiN5KaCiZbit QTybePL8dvGQvOE4oHifss1zcQ52n5JJhPLWlK7cki4E6Cwemjccx+Z37TYjYBvhmXiuiEOE qJpAwLEogMr3wkKIsYjjEUmQnflJSkhty1ujtnm6byRCXWHhdn3xwtIHTGAyrVfIO73S+a++ OAbjwHn/M4aKZ8kBO5htI7a3Mnk8KWVRUSBxim/PH8RY8ZrIjiyw6LV8vQepd3HIxqZZ5jsM Fo9A0/f7PW8MxotHWIaQxRptinjOqj5+jjScz1/BJPF+6A9j/gDmvvahlK6PDQAAAABJRU5E rkJggg==</item> <item item-id="33">iVBORw0KGgoAAAANSUhEUgAAAHUAAAAYCAYAAADEbrI4AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALASURBVGhD7ZnZcYUwDEXpKX8URB0p wdXQDMU4lmQbyRsCzMuD4cwwYTFouZIgyWBfHscr6gN5RW2wGGNnv/+dzNaYxe+vvKJWWMxo x0LCvo2Sn6+oJRZjpxsIGljMZLm7r6gZizXj9OVjN2W202ic50QUdZ4GOwx8C4G5G/j5iYcL CXDn2ANvj+vSUcTYn2O5bgE6jLFbZadCQMJIQN5EMAceJOrH3qW7cr0N9zsfv94YDwxuqBUN XHuOqDR5yrG2rh1kZ66bzFPUofhORaEGXy1ucaty+4hKCcur9hhhvPHkpMkSMUZg+tS6hCZT V1Ede3LdBET1+at8KIUku20jirqo7Bn/0MkoLLMrRfW+pbFh55RETd51sfh6xKjJtcIO870i KuADOSgqJDVUHa7ZeA4n/5BINsWzqAPWzpeiUmxZV1RFdfhRyU2fiVHSzrXKzraoUBkuIdjS 7ZGDRlJR0QAfpeA0P/4AbBwBQtSCQAjeoxS1W4wbudbaYf4VRZ2nNTDqmrqzRVHBQXGOxkfm 8JUkAglRa+JhYpSidopxM9daO8z3TFQRPNIeDSVR8ZxYvy/gHuM3+B2W8rjQv2q160Q9GyPA fSLyXKvt1ETNH0BQEgrvIAcK0FnUXpDfJB7so/204wSyEASdRc3vJ8jn1ju0JSrF6kWlhaVO CEbiFgX0VRU3VuG7R1OwXx/zh/FiFP3MaPnJc+T8VMUYcsTj4s9x21autblk6yofSidhVYOk x/8AJKxeVCuwrjSRMnbEmP7BfRdKO9zvKOrwK/U9ffwjR4gqUReiFRWTJjqjTvqrRjlG6Kxz Ba2xwz+4UAkQhIvS6ziOGVU2r0Ut6i4R2CgtPhyut8a9li07bsyzQkQlgiBX/bwdrltv/f9U nnjY7318V069Bz9JoQCFqEDv4/vSa3ReSOX9/xQFXiLW/gGtFBhzTOyiuAAAAABJRU5ErkJg gg==</item> <item item-id="34">iVBORw0KGgoAAAANSUhEUgAAAHsAAAAXCAYAAAAr8TBeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKjSURBVGhD7Vnpca4wDKSn/KMg6kgJ rsbNUIyf5etJPkDGggHCzjDhtHa1suzMN5kPfwaf2QewKmV0OL8ntFFqDef/8ZndiVXNZq4k 8m6o8fzM7sGqzPIAoyNWtRhM9zObjdWoebl5+86hzTIry9wjma2XyUwTPqIw+wG+v0S59H66 fQOcosXO6vlkkf289wAFOqfZTWc2CCJBIuhHeZXD+gAk7mS4tJbL1mo2bx4w77KNh2BYGHxA xGuVBQUiPRV3EcS0+Ht1eVvPDoLDmwu9mCm08uqaDQNPU6gi+zKnol0LOqw4JLio5nHIaIE2 2ppVvsWKmm1xhHcVYHbIa2ODFpPPNbBW3WgMtEm4HgJa3EyrmZ2tpalYJbRzeDPiIO4NswFB CCdBMGAWDGZHrEZXpaxEe5QblezoGMtjTEvbbAv3jBbHiHaKbd6sOPtmQ8XYKnUtYL9F6SVL hAuAWzKQlm/RPAxqAbhvmWaLad/hzY2D+FXNxoL9LGuThYoqiABBMjt8u9lL9BkY1gJwCWOa LaR9lzc3DuJemF0K3mglNiDZONiBlX2tbCl9gr24jYM5kISWeM41e1Q7gMObHadldjmAh7tv g5FkQGUBAXL46pMQPAopLR4+2VX+wmZzebPjOH5eSzDbv5iEoi9ikHTY1qHze/GI33FbTEKM 326xfAhrcdjij+NZ/iztYaYSvX28V26O0XuNDdogUDU55NcPBCScdIMWOrTnP1R0gRkH805m T7/U9+HrH9pyWIm6MyCZZCa1kf9LVNcOM3FsAnDi4I2ecwiMwmZJXae2VO9/D0OPOaglV7XD 88aGrwt7cexygQrUORSNOuvva2Bn96N/z8aGwLn09dswtM5eiUphErMB0tfvg1QLPhGN/cXb nfmQYMw/sLn99zEpncIAAAAASUVORK5CYII=</item> <item item-id="35">iVBORw0KGgoAAAANSUhEUgAAAHsAAAAXCAYAAAAr8TBeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKkSURBVGhD7Zntka0gDIbtaf9ZEHVs CVRjMxTDJQQ4QUHCIbrq9Zlx9viZvHkhMLOTfflveM3+AqO1XcLva7JYrU34/eE1uxOjZzsX Cnk1Snm+ZvdgtFU3MDpitLI03ddsNsbqWV28fa9ZrJq1yxxJZi9qstNEjyjMvUCvqyg3v54u X4BDtLhZPR8ssj/vFjBA5zS785kNgrIgkfwlDP55BtaH7Tt/jLCW09Zqdt48aN7bNh6CUWHw QjaYjEmtAYGC9SdyOGJaoNC17rV370s4eXNZlJ1CKy+u2fDhKQp2DzdHNCQ3pBYLdkR3kNGy N5jhnvwy1p13DTA71LWyQYvFd0dLBRSHbAI+kG8U75+FgBY/00pmo9FpLU2DVUI7J29GHJJ7 xWwgCNkpEI6+EGw1K2GzEUejf65j6G83Kquj41vImJa62Q5/L5/ZI9pz9vNmxWmbDSPGCfYt oN2iYqFSq/EBaMEg6VUBT2NQC+DfZZotpr2RNzcOya9o9qI+wnCWtZLFdpIKBAlmbQXvtwp9 BMNaAF8wptlC2pt5c+OQ3Ddmw8jOX2i3QAASio9sW0qfYBS3czA/JKHF02H2qHaAkzc7Ts3s 7QcQf90Fy0Y7BT5IRpmE4FGktCBY7GL+wmZz82bH8flhVwhm44OlmRODpAMKEdaR7Fp43tPd ymL8VovlIKzFs5c/jefyZ2kPMzXT+0XenBqT5yobtEHIaPKsz28IFLzaDSgd2tf/qOiCGYfm ncyefnPfh89/8pbDKtSVgWIWZ/0WWPPb2mEmjk0AThy60fMOgVHULKnz1JbK/e9m9JhDWnJR O9yvbPi6aMVxywUZoN6haNRRfx+Dm923/n82NQR+S58/jaF19kwKAzMzG5A+fx5SLfhAKvuL pzvzkrD2H1uwFYLgAQG/AAAAAElFTkSuQmCC</item> <item item-id="36">iVBORw0KGgoAAAANSUhEUgAAAEIAAAAXCAYAAAC/F5msAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFlSURBVFhH7ZYBrsMgCEB7Lg/keTxN L9PDOEFsQbF2q91c4kua/LgfCk9gW/wEmSKIKYKYIogpgthFrHbxy8If69f4ibf83MbTyOad CWfGhb/GYHNmz1Wk2kB2xOa8wSBJQgIKNt6JapmgUUSsluUe87sqoxwNkmFY1WC5FhBvYAgR sTtFniDmYm7qjojtRR0QgnEpOcOIwAvMulY7q1BZljT70PaN3qqLYDG+IUqMReL6eFREALQD PhQByzd1Ev5PI065rLOnVc0zIuA2Q1AMfh5IFYEtyZOChPIkO6OJoH33sYjVHnMVb6pehCoC khJnyiLrTe8dAYXJhM9HRBNRjkJbxO3RUN6hXlIFIaIsIILnIRnt2wML6CCiC6ITr+8HgETE RDX7ScL+ZC86PmMt+IvRIHi+77yvsixvki/LYnmOxzMiAvnX59mPshF4TEQaB2zTb8zETR4U 8V9MEcQUQUwRiPcvpyc16GMFinMAAAAASUVORK5CYII=</item> <item item-id="37">iVBORw0KGgoAAAANSUhEUgAAAEIAAAAXCAYAAAC/F5msAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFYSURBVFhH7ZaBscIgDEA7FwMxD9Ow TIfBJARMwFq0cEWPd8edH5GSR5LfLSyIJYJZIpglglkimCzC2y1smxw2+PhNsHLextlyPk/f zh6cgTMZB5/a0Rmxu2AosCQhgZub4PLO+Pdzze7MJDLE5VwSgbAM84yaAlVBeiekIHwLk6QF XcxlEUC8Yc4Ab5WUI6i0/k1EvmFMsabg4nq9VOzx4aGu0lEEwvXWIgLLqXgwZkjKJDrYyT51 sy7GB9nWOSOgGUJZ4CHOzuCtbKQA9RnZcFFq2YDH0U2EDCze1HEQ+NBKFApUB3lVOuPoIqIO 7E2JlI0UMsHBMjqIWn8uYqrSqAOI0DwcRgXNZaNHzJxvRPSEpH4nQnR4HOLESUIe8ABfzqWR fndbaei33fwK0MBBs7xI2Syr5jkfY0QA5b/PlpeyOxkmIpWDKpmJGSjit1gimCWCWSKIEB7+ XT2yKC2GnwAAAABJRU5ErkJggg==</item> <item item-id="38">iVBORw0KGgoAAAANSUhEUgAAAEIAAAAXCAYAAAC/F5msAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAF1SURBVFhH7ZXRkYQgDECti4Koh2ps hmJyJgQMAQ5P9Nid4c34IctCeCFxgwWxRDBLBLNEMEsEk0TsdoNtk4+FPfwCVo7bMKrH0/Bk vDO3YspvhHdgaJEoIeLBGQPO8ytJOOeEzfV/JrBbEUdI1FUZZWmwDHOemg6aLej9oUaCm0pR M8BkqYOjGONUrHWqPSJkmA92LCalVEF5s2uDEqiSURtr0GiWwW7eExrgZlXrYo2LWRkiK4vI 9fJoiEC4Gf6yimxMOghsvvEm0bxONGWzVk/vNO+IwGwei9Li/YWikFRCdCVlUBiQDvJhaiIo jgERuz3rKmSqd4hQBkkEBpWVQ6WRPc3TPaL4QlA2+1cThcUpZSn0RQyXRmUPiuPOV6NVy8XV 16iGeUfEI2Q38Xp/QFhECLRmP0pID27EvSMb4/nEjNJgZLx/2a/RLAfRzVK/fyDviDjQn89m WX0Ir4mI5UDX9D9qYpAXRXwXSwSzRDBLBAHwA0MHLoQctBuDAAAAAElFTkSuQmCC</item> <item item-id="39">iVBORw0KGgoAAAANSUhEUgAAAB0AAAAVCAYAAAC6wOViAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAAoSURBVEhL7c1BEQAACIAw+5fGFJwP WYENB0pVpapSVamqVFWq+pLCAvwJewRinOkcAAAAAElFTkSuQmCC</item> <item item-id="40">iVBORw0KGgoAAAANSUhEUgAAAAwAAAAXCAYAAAA/ZK6/AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACJSURBVDhP7ZDRDYAgDAU7VwfqPEzD Mg7zbKEoQgCNP354iYltufQB4SG/cIdK2BCYINHLAZUQIXRbyIfp+EQ7Rt6aehy0qjdsAdxs iELgYMdszCAdjoVUl02GpZCJEHXoMTIez6tOKBFOXguloVJ6pWWklvbSXo8FpX1W+58Kl5h+ n4XQ8zkB2AHAOd6GMdUv6QAAAABJRU5ErkJggg==</item> <item item-id="41">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAXCAYAAAClK3kiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHNSURBVFhH7ZiJccQgDEWpi4Koh2po hmIUDmELzCGws561988wswkLfD0kIBHw05JeA85qDQY/z8mA1hY/73oFOKslyErwXNXGPx+c 1aBOQEuyWgGd5uHgLGipFku0lAEltZsxagNnlAAhaEsLugH09+oaG7Na8ueyTV7m12+C3LIu zzi/UGYqKR90myb9nT3bStH5jqWK5uiCfsBNiXYU25+HKRq+e30dGQUCy7V6xnkjQuAOui9f uWtXiOfPl3CrSmJ5L4HDbG9cDnFHDmdGqbD74xLez6V+44vhr+mtOBNp2Y/iIf0dt7hAy1ig 7xe+A5zXwF8PQugrMo4Tzxic31G3EzhZO+l65fCfYvgLfRPgggbxkHFVcEbtg+MzoLzFku4B x/I3m3FBHHCx/wDueEP1SoIHLpXiqHHE9vdJcOG2qgCKt1j+BIj6LLg5fxFo5esIYBVczG50 S24p38iMydTWyJ8dXHDnteIvjqmCy+ajZT6Ix5+bvXccX58CtyYPde4N2o+HzvdocKG0sgoZ qR8PvZTWweE5kUqkXhJ3C58t+FNXw3gcVLIJJzPuC+SA/P4ft6gy6GlV4L8CnIvcleziWdw4 J18C7moB/AH14ZjzTqNdIAAAAABJRU5ErkJggg==</item> <item item-id="42">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAXCAYAAAClK3kiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHvSURBVFhH7ZiBsYMgDIaZy4GYh2lY hmF4BIJGIBDR19ra74671kr485uAV+V/TPEY45wx3uLnY1hvjMPPG48wzpnFL43kpbTmf79x znh9wrSMM9rTMF9unPNm0ZMtWmK9XkyImFiNs1p5pejIC4YJ9Lq+RsZRpvSFalsu0wsPYVmr bl9xsNBOVGY/6W0c1Hd2byuh8epWRXF0QZjwpkKrEesDMxWju/dbB6u9wnZt7nEgRCl8guHm K5/aFcj0QQtzXZLae8o4rHbmcEhPpNozKDHI4B5kvW8w5Aj0xcpsGVfsibntJfmQmB21uEAr CATI1xutU7KJ7I9jdPQBrHEB1LxOleZDYnYqLjwJfAqlNmdt7PNMbB1yVP8/fX2R+JvMOHE+ ZF7TOKu3BdNrQHmKFYDIFxon0keqo6IwroLLp1dx9Qk1aIkAzHlVq4r1nTCOzYczLpZoI1q8 HhZiT69BtZUGcWPEMX3J0KY5XeM6+cR5qbpRLTmlYJCIWdQ6iqBWD9r4Emb0pTltc2i8vf5u PqSFZf3BAKLbwu4B6OttISWjfGi8eeOC+ztR4fvtTITWGmwjK4J86KE0ZVzVHo2Svwf42oLf OGT57Pe+U636EYSq+/0fN0mZ9GEa5j/CuJB5aFnmnW4Es08+xLir8f4PLG6HS3daNxQAAAAA SUVORK5CYII=</item> <item item-id="43">iVBORw0KGgoAAAANSUhEUgAAAP8AAAA0CAYAAABFJ+69AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAT1SURBVHhe7ZyNkYMgEIVTVwpKPVZj MynGYxdQQDhZQwi675th5jT+wHMfrKj3WAAAKoH5AVAKzA+AUmB+AJQC84P2zK/l8XjY8prd SsUMqgfMD9rynpanD3D62wT8c3rbZZXMy2s1vPnb6DGK/2F+0JT3PC+h1d/Tc3k8p2idKt7v qO3zC+YHWqCUV7P5A7gjRNoPtEABrzvtJ97L9MQ9P1CFucfFqL8x2BwIzA++xvx6GfuDkJFS f5gffAUK8oEy3HGgORCYH1yXg0dWJsCj1NYs37sjqH2ER/f+z2WUKRCYHwixgU6TV7lg57TW /b6VO6f/Ej3GMT4B8wM5buLq3qO5gIvqAfMDOTB/DMwP1LAG+5jPr7tzUT1gfiDHBft6D8sf rox1P9uVi+oB8wM5aZrLyzD/1fSA+YGcbLAHy9q4qB4wP5AD88fA/EANMH8MzA90sL3UwpNa sw30EV9i6cN19VjNT/9kwFbYF/9WVtg4Uwbozsasqz137SnPtcE9Srrhl3JyPeL1A4RlU3ro EY/8Ll3ZTuQZ651kZqi6bsKLglDUhuDi3vUz2Wo9aHnbxr9Ce7cOoF4Pio1Uj3SfPfu0350w /DBj2C+0vlrXOMAOcXURn1vYBr6wzcwvbGMPavQwqXXws4HaYUzy8YW/qB7JvwqzncHxAJi9 5+cA8zunX2idwl2cit5ISvu6ejqZ3yBpA297Z/MbzlxTTpPvaH6DWA+KxQotChN+3qwHgnLA u0r9jJq6BttUG0cYCKv5K7WLqN+nbP4ObeyGVEO7fbypUj0oDivjo2B+wt1jlk5meiA+0Anz 7yczklJ1wUP+ryudz/eWbJ6q4wsDwZk/7KFl2hzo7SiZv0sbu1KnB5MJeI16cDs5BqnE7cjp 8c/Ib3Z2Bi+fjyo0wsj/T13ZlKEQVOf8Bf6oU1pH/nC5VptavemwGfN3amN2e0Gpp14PYn4l OivXw3cC6+1BQY9sDUIxrTh54exBfmv+w7qSYJFZSMhjAVfB3dIhWfPvl3PBVK83HSZj/l5t bElDPXaHUKyHxbZ3NX9Bj53592KSwfOVsr/JzW8b8E85vkpMTV3ZLNFGXwqEI/MXkOltt0/N 362NHRDpYYJ6DXDCaD6ZzdTqEUAe85uU9IjMv9/IwuvNCSOhmXPmb0FtXUsNz+yaIAyEE+aX 620v6l3NL9KDRjOzLi62LSr1CKHYC2KkpIczv1vwIgYb+hOtJQq8WvP747cQVljXLimg6425 GD0OX/E8o3d4DirBca+Y5kbI9JjTdb74/ZTpwTGernPbMwU9JLMOGX438lfDI3BwQdPlO6Ch jRKgR0xBj/ub30CpcngbUEyXLoyGNkqAHjE5Pc6bn3uPLdU4Tql+SZBGjV3RD/hVG+PbkXHk /f0131L0EbKOvR4fjvxANxRQW2D7YL9t/1qN7xDHvtWA+cF5vvaBzZVxxr+ABjA/aAo/ilRs fm7/RSYXYX7QEDvy6/W+HfWf0xTMg4zbEcD8oB00CZw+Y9aEe95OGljD+0m2MTsAmB80I3wH XSVs/sTorkMYMRuC+UETaKZf9TwfkTO/WaJbAJgf3BMT9NFLNCb9pw9s9JExOr8PM2ZGBPOD z3BpbVyuMdv9Dey7Dlv7R376AfOD02xvsCVFef5vH/eNrwXMD4BSYH4AlALzA6AUmB8ApcD8 AKhkWf4A8qsDXecPWdkAAAAASUVORK5CYII=</item> <item item-id="44">iVBORw0KGgoAAAANSUhEUgAAAT4AAAA0CAYAAAAT1FTiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAYlSURBVHhe7Z0JkoMgEEXnXDlQzuNp vEwO49DNIvtilKD8V0XV6BjBD/1tDM78bQAAMBkwPgDAdMD4AADTAeMDAEwHjA/Mw/re/v7+ ZHmvaie4lEE1h/GBOfgs20sHHv0sAvG1fOQ2uIh1exuzEz8LzUfxPhgfmILPum62zX2W1/b3 Wpx94GQ+H0ff9Q3jA+C30BQMxtcNvtFgqgvAb6FAxFS3B59teeEZHwADsG5vZHt9Gey5KowP TMf6fgvrA70ZaboL4wNTQcE30IxrLui5KowPzAkta7AzLrnMQa/1qouL1NII/9weIvCcqZbY nsMEf6i5gZ71vbZRHqvC+EA/eDGrHSQUDPs2T4WKgbgHbfQ4fpYUBpg+t1tqAvbmDKP5OKZH wPhAJyKZwbp4waC+AcxHoQq0TLDy7ycwtSLQPAWMD3SBFq/WfKNHx30dhALONkrneTjQPA2M D3SAMo+aqY7MPoqxY4JQZSvi5yDgbpaBnA80zwHjA9cTPGdKQIFTs75OBaF5bsTn94NcPpe6 SQJyPtA8C4wPXI58yF0OwvVdk6EIVBCaAOPteBDO+nYGNM8D4wOXUxOEdEw0U9CZhv3LaBD6 mQaMD5qngfGB6ylNu8TvnWARQbUkDxY0BKG7byKgeRYYH+gABURiSsUBSs+O7FKYotUEIe8r nOfRQPMcMD7QhdjSCjkd8wNQlGzKILMKeawI7FUGoNlWVfC5s+d5PtA8jTE+XstjLoaKdm77 okUZ4MLGbKtbd13V8jO1zTx23Wr5wc//Ggm1MZGBnA7VdU7m0a65u7/rEAyA5incjE+lr3tF GgqeXgJWMlRbqc69Hfqumu+AvbOagqPpuq0BMcKfYeK2X9038ppPNZxqzY+Mg4t5vOZUt6+5 /5mQcKqrKrRTZDrZTzsvxaVtdQdxlqteA0rReN08GE4zvgZdorgD9VwuPHeN5kfHQRForgk0 9/68vWxP2eijz/g4UPSH/W9/DqEGwAUCnd9WzXeDjdP10oA/anyCluvmY4cxvvtyZKxVjYMi 0Lxac4qpCr0TX25oo8p0mmgE/z53TBcq2mofU20A3ww2WV9RFmN8NdfgU/+ZtPH11uXutPaT PN49FJq30aA5xVPlOE8YH0EpY6Iy21VV8LZkWuHDS69UDSqbTFsFVJ9uH5tA1fm/GGzJDvBQ 2tl3NPNzFfnr1qSMr7suj6BOcyYyDqD5Ecqas5YcS1RcrWKaZzI+8WGV1fn1jfWv+vJt5cHn CEEixgfRWYZ87mtAKQrXbRHtn066RI8frNRTrzkRjANobko9bZprAzSJWELzaAvsDpMdEO8c AzXqR8ZXbGvQNhKyLKARXG3VQsJHz61Mzhmwap/ZldiODfKWPooaX2ddbsOJmgengOZxTtJc IjU1xpfQPDC+sMPq0kxTUQXyAjKlPBKYmrZy0DsHXTjYhMiODqJDv38NKKS1j1gDz/i66vIA mjRPjANo3kbrONeQv+hDUpo7xhceJOH9osK4uYnG+NlEB2rbmrrwyEc9Ggcb3VmoU5xS+PwB 4zvSR3yjgfEdpknzzDiA5vU0aW5DMWSN9ZTmyvjUhu4o60BdkSleANX9qz59/jM6r7GtiVT3 zMEW1KtLthJ19+Ii0vnEa0A7R/rIroOKdd4OutyfNs3X0jiA5hW0ac7x7e9TxzMJzVueMgZQ Q8qd9mM4i7IGjb89K9ClP9C8PwnNjxufcFI/xR/VBGmqZ099k2nyZECX/kDz/sQ0P2R89GEn veQy8p3LSp+HT1F7cidd3Gn7fbvxnmNxj/k7Zqih5l9NdQHoAw3cPeB0EOIe1gN9w3nWlBzG B8bnspf/QR5leg/UGcYHbgkv0YHxXQpr/LBMTwPjAzdEZnzwvSuR2d5rWaxnq88xQRgfuB+0 JMFfrwXORa2PI52l2ekvCJ5hfjA+cDvs9zfBRbDxeSanzPAJmTaMD9wK+kYXU9wOxIxPbNG0 F8YHQE9EMDoLfsWUN/tHIMAXREyO33p4RrYN4wP3QE2z3PLMbxxHQa6X3DV+0jfpMD4wPPE3 hZ4ThCMjl7Q8T28YHwBgOmB8AIDpgPEBAKYDxgcAmA4YHwBgMrbtH9YNt1LUDQT1AAAAAElF TkSuQmCC</item> <item item-id="45">iVBORw0KGgoAAAANSUhEUgAAACgAAAAVCAYAAAA0GqweAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAAtSURBVEhL7c4xAQAwDASh+jf9FcGS 4VDA23EFVUFVUBVUBVVBVVAVVAVVQbN9QKsTpLFMjZIAAAAASUVORK5CYII=</item> <item item-id="46">iVBORw0KGgoAAAANSUhEUgAAAFYAAAAXCAYAAACRUrg+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGvSURBVFhH7ZaLjcQgDERTFwVRD9XQ TIrhMBhifjk7K5acjpGQVqww9mMwOdzWFG2wk7TBTtIGO0kb7CRlsFYf7jjo0M7Gf5ym8zrO rtPpjPJ5KON/CWR1d81pVK6tW9ppnHpQf+nYHCRBTYJilDOiSmaIHLIILK6r1wDsykA1Nwoe BtdXbStAuIpQhODLjUoUihWAtVo706yJzi/qalztYT8svNtj4ymhQ/1mFPIbJALr8wc2zZpg oOoW1nPB0TKnJg0eL+xjEPQuYi+5L4gP9nJcs6ZoA0m0HRAGaQjoDsCCsC+NguXT5IFtH8dq CJLmgoUWkKLKwVJdkLlp3jjWb4rwxsEgkZc61t8mQ/JmgcX3ZewlvgG6YK2+YEWn1Seb9F6w dzcksOH02FpwGE/BQtLl2ruWwAe7ohVQtWvar4Jf43qw3DQLsCFwZ2WY98W3XwdrHBsO6WOw XuDAPBcNNAQHbhbsiWCrF5BET1DzKIJ/Gyzenjzo3ljDoPiRG2l9BVTst3kvAVTQ4PHiao1j /4I22El6Dra6Ktym/l/0oWO3RtpgJ2mDnaQNdoqc+wFIuuNRV/c18gAAAABJRU5ErkJg gg==</item> <item item-id="47">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAXCAYAAAClK3kiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGqSURBVFhH7ZXXEcMgDIY9FwMxD9Ow jIchEgibIoqVnJ1L+O54cFP5rbK5hYglnJAlnJAlnJAlnJBDOKs3t23p0c6GJ06n93W4+wx5 LFdC2Y2i72JeiNxeXnG7caoyjuzOKOXMTpePgDGccUUhxslGcbicJPYCdauSeCpRCY0+WmiI NcWPw8RBkG5gJBr3jsjeCTvjgvpUYVZnIn4Tfrx0Eg3jp6y0NiN7KY3lQOq3/hYCgsbZMOvs s4QY265DtSljkjnWE3FkL6chHNIpc2zneJ9pbY56+RTnqvjoVxlItwH9WHwnWI7F0BBvZK+g U3HggJyXOe3WZg58a19w+gmsHiwrH3shUiMfZGivgBUuNTI1JzCgG4WbWlaccHCFXVQVgmD5 VcLVRjotS+A3t7UqCJL5ghYz7KeMSH6sFJU1bS8nE863HJOAvw9B8OJAgHdVG7VaftrdEOI+ n1db86K9FBIu2aJ4EuNRtOMUIlk95+hdqjjiOWKlHKr4uHdn7PVpLIc50Pmkn59DLlw5G+D6 n0QUCceX+T0t+y281ar/zBJOyBJOyBJOhHMv7jIm1ArWPcIAAAAASUVORK5CYII=</item> <item item-id="48">iVBORw0KGgoAAAANSUhEUgAAAI0AAAAYCAYAAADH9X5VAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMpSURBVGhD7ZqNccMgDIUzlwfyPEzj ZTwMlQTYQoAMBKdxy7vjLk1s9PM+MGn7slNTjZrQTDVrODS7MXbzr79TmzVm96+nejQUmt0s dnmAIU/J81s1Dprd2PVBRuxmtZObPg2CZrdmWb/8sSS12XUxkPlUq8ZAA7vMst6LzLa+7OvF R4AUzOfvV+eBoC8f3m0wJuRYBWtcl1YWPm7jnghtaz4m+sZi1PZuCDQfOyMcRcrm9AHw2bMN g+ASmnjnDlCknoY5tV3eX5OJecLmRu16GwCNWz35gNpnnfLgcLOx+K4YpRV4o8ioq5ibEQvA 71BRkR6Gi8K3Fc5u2Zhwf6cxBzRh++fzSDMcmXJFY/KlVe4K68ytqCgPML57t0Bo1FU6XlXQ ZET+sEY6vy5yh/rwlmxMqj31vEbRTkOJsMljaHK0g2jl56DxK+EYrMDiPbXyueC8WsVXcd7O o1190Mgd2/V2MfCNNddf0rmTpDFZ/8LQ+igUQUOTs+AxNCFRUa7WePpMkHwQ/q5ZHspSsTVx KqFJD+FiNDS8CxrMk9/ja8P3XOQAwekdPpbCaz3mCVBtGfGZhpIpQJMDAEX3NEBDQsPfgQYL hTx988rFXsQp5nefeqDZVlGD8InEewF1GfZhTUz5+NOUgeZMMIKmBAc1vmDMTdDwJurP9hpo +vPoUSs0kQdBOWioVtdrbWcscoFzFj+MFUPDAqN4wlRszpwPQ5M20eWcL3gMNL/2eAIjo+MA 5Ot2kNgnklJLVUyIVVuGgMYH8HAcBhXNR2UKCBoMDeWWCeRyzpy3qqAp7VL3iACsgYZ2EwEn y5X7hNIeL3StFhP70LD7JdCQvNlnsprB8mTPxU/p3BzNTAdhfD2fBwYLFoA5RlT8BTRoTEOz 3lOoKwyel6/P55LUFIZocrQDFoBBJdBIfxt7kIfGC4MpuRzC69p+V3JhJmjMHxT1OO15T6GG QAMXNm1v19D4b0f+p37pcZJvJVNVGgNNi8lia0znx7kGmHkZB4D62KPpb0mFpklg0vx/mv+h cdCAHmPEwwD/Ng2FBtwY82i5U83nrympwdBM/X1Z+wOUmzlCxIkyIwAAAABJRU5ErkJg gg==</item> <item item-id="49">iVBORw0KGgoAAAANSUhEUgAAAIUAAAAYCAYAAADUIj6hAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMPSURBVGhD7ZoBcoQgDEU9lwfyPJzG y3gYmmBwIYQYkO3Wrn+GmbqrSUgeBNtO/tEjpgeKR4WGQ7E551f6+W9q9c5t9PMjSUOh2Nzs 5xsk/C5xfkrjoNicX26U6M0t/uFC1iAoNu/m5Y+3Da7VL7ODyB9xjYECdol5eS8S6zL5aUpH hBCKm35ujgNBnj+zW6yLn06AxBaXzxcHjxfnAJ+bbdkW7hAofq1HI3zi5PoK/JmzBUGsFpKB Hkf2THJP1Va8p20XHwDFTqu8QLXvOkVgpMXE4nb5MKzY0VoXOMvgytX8rmtZRIhVAjjsAqIt AqIjMQcUcXtObfBkhwCKLQyd11bpHthQKEBZHJVkmYRQNK6iSwJ/mIt6IetaFznHNVt7Pfvm lu0UwVDiIIeC+hevcFi5UsDJ9hYGBRgKQZ9100KxaDYsfqqxv0OQD4qjHQp4tnK/bGvP/ezg jTDmoAGQDIrgIHk4hyI6YqFpiaWt/rCB1/GCvuvv6QSdVHCrn/DdORTlIZcNKQYmbBuvNDRC oeyGoi1aEDN8vvuMi8gGRn6mCMYqUFByi/mHZ2xQbNAr09uak3MIJwlx0uR5TGY/tTmNFvhx iY/WeddaB6oOBQOgkitJAhSvADIoasXXVttZ0tFmBxRpkky9s+ZHi32gtJ3mvEj11oEyQ4F2 TP44FOzBFIrgXEr+BSjQZmv7yEANUtoIqerHCMWI9pEq5NK6GKDAWo5kWwIADQuAQUFOqPhH AdTiKgSePWdNDCnEJhjbY66dTxQ/Ib6TXeYNkgspS2sdKP5yEJXWERXukwtRqIAiiIr5Wg1a YNrvIpK3BJb89OCVi1Z+dn9qB0biLAJxDJaguh9QZ/u6qhIKml8Ri7ZwYp7iKGuU7XBGIFAy FCQM3mIL72tpAxa7I/5gdeanNe5v0RAo4Mbw+mNKL++RcF36oLcLuuqSwc/Z1vytGgOFsYho 77XdxcGfQ1vXimXz036m+RapUDQJdovn/yn+h8ZBAbpNom8G8G9rKBSQ7ctb/9vVcv75Ug2G 4tH95f0PSwGH2C2C2qgAAAAASUVORK5CYII=</item> <item item-id="50">iVBORw0KGgoAAAANSUhEUgAAAEAAAAAVCAYAAAD2KuiaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAECSURBVFhH7ZYNDsYQDIZ7LgdyHqdx mR2mK2p+Pst8SWUy3kTMJnifFgNcXBsA18tqA+B6WVUALGoA1Jabr+pAowBBGXqSUPAGXKLH DABPOAWAbLEiAJw3TaNyy6jLZ5kBh0E1BYAgv1AJANagKQbhYJNRAQAxcxJhKYkBaMjqDgC+ k0tDV15Ii3EAQtCcpQcAqkqdZxXQWuUPkMMAOJ887g2AOW6DUQDywDYBxGh9EYAbM/d1uwX8 5PCxLWA1qtwQ+e04BOVP9175+aUAkPnfgNA7/nyZDx9C5EMWpM5tECOuwfKvrZ2JPO8FqG4n lT6yQpEuM2BBbQBcL6sNgOtFhXgCH4LIAJRgSq4AAAAASUVORK5CYII=</item> <item item-id="51">iVBORw0KGgoAAAANSUhEUgAAAQIAAAAYCAYAAAARdfMZAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQcSURBVHhe7ZwBkqQgDEX7XB7I83iB vYaX8TAuAZUgkERAgRpeVVf1tNqE/8OX7tmd3z4YDP48IwgGg8EIghbYlmVfj+dtsu7Lsh3P 26Z9LWsT9nIEQWW2ZdqnDhZZD3X2omVtQjqNIKjJtuxzR427LfPebLmdaVmbu5cjCKqx7cs0 d7aNXfd5WlTlrdGjlrVxvSSCIPxZYp1/+++HH6cB6o3x6zO2BYxSrzXZRJVQd7DJ0ag8aV5R gI9Te7uCD7TMpbwXubheRoMAPkdEFy4I70zmJNQoaKIjCC4++zz7yCueFj+Hd/PdQGEvcsG6 RYIACjOLNxpQx6SwAfDGsfPh2AiCE6NvWCvqWCIPvSJZ58Z8/FjLXEp6kQvyMhwE6oR5PcKA qFAv7t+RZOoaKpXbCIJjTl4ip3Fu97BEd1MdjS5glxS7A5gdVOnGeOIVCTRPIf0wPWmZSzEv ckFeBoIAFos5GBYecy4sOjAA/V5eEBQySqcsVed76AZG83KbNxKm0XqNHlpP/QAfSjUz55Vw nBe17kbLbA0KecHB1YmO+0GgDtpfw5iC6MQ6BGeq9oPAipE1YZ1q8D7PjfG/wLk9BIWZsLR3 SLd5I/pRBuljpyaFNLqIefVgHK65MuhCy4x+cyngBYWkTqSdFwTrbI0AzGJxX7NA0erYMShV uB8EgJl01oQ1IOo7zcmCtleA07xOIyL0NZLmBUppxHklHCc2p4OscO1Gy9x+K+QFC1Mn0scN AnXA+0cZhPHrbAehAwPehguCIyHh4Z3HUTsI7NhO88aaVGsaqZds3nSNeK+E41C159KJluba dA2KecHC1Im0c4IAF2gxRd2LcEzSHAW7L17wQRAbX0KaMVl3rwsz7/NUrIuecygck5s3TSOZ V8JxqNqzaV9LQ1q/AUW9YGHqRNqhIFAXuRVaAkkdWiTGrPB3CnrRRYPAnfhz0o0pAW7Sy2iv CTHG/OCxaPOmaST3SjiOri+wIAvRspaWtH4r7gULUyfy8gqCsxjyMf/ThdmfbYXe9deiN0bZ Y7gwM1Hzuttc5N3aU0ZqzDneC418NJ2tk6qHMviuSVwjy6kxPo6vUw/WK8k4CrgpeIFemApa luu3d70oui6Ql96Xhd9iTdQTDLspQBoE7wPGSqYB54V2Tj5yjfL+U5BsHHnd+dTUkobvty+8 4KHrxLo1EwSm6PP5U/oLAnXiPonurFKN4DziTs4iGyf98+pz6mnJwfXbN17w0HViL6sGgU47 NUmz9TOT1z8/2XretpFpgpVD3LzCZpFpBK9TjckjG0c11hNvMqmjJQPbb195wcDW6XpZeUfw x1Fmjb9HUIjOtKzN+HsEjdH04sJ0sNC60bI2AS9HEFQnfyv5OrDN/PAjQTodaFmbiJcjCAaD P8++/wcX5dtCzs6M+gAAAABJRU5ErkJggg==</item> <item item-id="52" content-encoding="gzip">H4sIAAAAAAAA/+JhYGBgBOJEIOYCs5mAJEtJUWqqBAMIOAAxR26yf1JWanIJWIQhAYhtGCFS zGD1nM5hwa6FniWpuYxgFTxAzIYswAsmWcCKeYCKnfNzk/JB0hATBYCYHSiMEOEH2QF00CKg /pNsDAwmQL4SEP//D1INVOqfk+qck5maVwLWwwhyCcQnUBKo98J5wQcLN0o9ZEADdkC1//5z MrAhiTHCdUOcwwTl//sPshEC/o+CIQX+AvE/JDwKRhYIYsgHwhIGBQZXhjwgXcRQiV4U4AVi DKzwPA8qC3axZwUY2bC5zpNsfPv+E8MLZLUTtm849f/bVUZQKeQALUicgbaD7E0Fk8Uk2Q0C QgxMjMj+IVafJSNhNcQCcuynJqDEflAwgMpxUJywMEDK8lEwcgCo2ZHAysDQwgxJD1woKQMj mYCaGIIQISEoMyUTpJUfqpcFqiEToRckVQHEX/6jJs8JEBvOgAjfYIXgjNScHAWXnHRQek55 cr/80MP75S/FTGpATY1vxOrFAmxAREjPScPkC4LLehkWqJxnvQhrynCgexSr55mgvgc1hkSg gkD3/B9ADAIyjJaMK4AlWQUDK9MCpgMcDoK/mbEFAD4A1gAAAAD//wMAP1vIpuEKAAA=</item> <item item-id="53">iVBORw0KGgoAAAANSUhEUgAAAEsAAABLCAYAAAA4TnrqAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANtSURBVHhe7ZiL0awgDEaty4KoxwZu GzazxXgJzwQDS3bVVf6cGWZ2fef4ocK0Kd2oLAEqS4DKEqCyBKgsAQ1Z67Ysr/A7s5ppmybc jN3SrdkMXm78Us9rW2a7bF7sr+dSlfVa5npxr2WbiagISJk36hhJHFNWSIItkAQEE4TNyAwI rm3flP8QeFmrsUUHYVVbQcAUkmT3weJKBpUFknz3IjJYcgJbUgFelu+ib3Z9j0t56zqPYS/L ntiks/piWolJzySxrI6u3oNNtLtZAln7l1TRKhe0k7Ua+tD2By4f5JGQwnDBraL5ZHlhXyfL 3bCrk0VSFQgPcq6g1eQLbEvtkfXNW/MHsnDxmdBdigKgeCqw3R17ksWfvweZrAO6oT1hZSN7 dHuQfDGucGZbt9yejHvGuQusyvq2O16crFhos5l/PmXpf65ut38SExKXGi4qpNYt556Vlbaz erGs35AT5eR8HK0/Jism8DNff0BW7mpQKOqSkrdheFvHLvpxODv4cbKehcoSoLIEqCwBKktA khXfJqO0MyCyRkFlCVBZAh4gC4Yc9fksMjDGn9lpprNYHoD98iyGHxKl7StDHFh3BgfIqs8c ROiUTn08SMVYwlCGyqrfkMiNZUX6CgFAnhMAqaqOA0HqvBkTtnWLrLyOceNAsnKyaOIKQKRd l8QCxaCZpBAxjCwnKKTDiTAmC0ji8rGILJJE3J0pQ8jCovb/aeKiICKroLbu8bJKUQ6bFFys L3510lzSUOOkjCnLfR5w6/A+fLfCQpxw0lUf9+kQKWXl/+QbK7SUCCcyLGceQGV68LG4VAGw 7gwOlHUfVJYAlSXgElkjtTPQZAlQWQJUloBDZOFvH26shpHNT3Hfbq3tPbDuDL6XRQa3ZXEF 3fNT/mveC+E/dFvcVxYBiuTvdlwnm58q5Iwzn2VxyanceUig7aNk+PJ2foqR1dzec0gtDIfJ coNcewz+mZWLJrJIF+YG0oWst9t7bi/LwxeABZUDY8x+XfsZVTvWQ2RxBXiBcHzcuCKHlwUX nKdW6l0jgguk+4KY9qfD++09t5UF8HNMfCrKNLTnp/bH0Pmsg1FZAlSWAJUl4BJZo7SzGCdO F6CyBKgsASpLgMoSoLIEqCwBKkuAyhKgsgSoLAEqS4DKEqCyBKgsASqrm237D2DuZA4nbhef AAAAAElFTkSuQmCC</item> <item item-id="54">iVBORw0KGgoAAAANSUhEUgAAACsAAAAVCAYAAADfLRcdAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADMSURBVEhL7ZSBCcQgDEWdKwM5T6Zx GYfJRY2t6SntgZIe+CHQVCEvX42jP9KGXaUNu0oX2EDeOfJBUjMVDidReRrYSAh60UaJwzOu ZAgHk3Y2IoE1bEDCKN9ZYiJDTYCtJ3K6MVvBP4DNmzjPYWZ3MSOVv4GFy5HcSzXYi1+bTkyA jDyEfctU0IZ1YasL1rBpErQMw2tQRobhNQieoC3ObA8e2LpXPhSDfjfK/2T5AC0LxdE6kOvm PvTc0aVrNsEOamdfrg27Sht2jYg+T2Mq+TxoPAoAAAAASUVORK5CYII=</item> <item item-id="55">iVBORw0KGgoAAAANSUhEUgAAAMgAAAAYCAYAAAC/ZrKxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALiSURBVHhe7ZiJkcMgDEVdlwtyPW5g 26CZFMNKIAIYCYyPJHj0ZjyTsBzStz6QnayiKCJqEEWpoAZRlApqEEWpoAZRlApqEEWpUDGI sev6os9bjF2myU70LIaaAbPEdv8s0Nv9JRszpYMeA6/ZMU1edp2hbV7h0+iMq4tokNc6C0Fg gCER6gdJ5Dmsds4SDuDY2Yq+GxxZM6BLk6RAHmCQkXURDEIuhUCKjd6sm6Cp77YjJT4nnVGo Yr7HUNEs0KlJtbCGYWxdeIOYBYITCp/BHZVMP5fIRLsAzJkK8B3Cy9ruVhewU7MeTR5hkMF1 YQyCyfgCyoIW8cnzuYeClMTxR2ZFtzYgpptfXOMT9GjW0iTCF8IFmiFu126927MMpgtTS6VB QLjlnYVftLrzo9BVN9O9sYg8CnI4KVw7DGaO6Rblj8TNszewXs1ETXLKQrhAM+RdCDcbZCRd hFoqDGKW/Prhi0i+kpiltSvAWHohZfA+saNJvYxJRMK8uJ3lfvo0a2kS4fM5p1kEi7FukLMb yEi6SLWUGyRzPEFu4hbGSWoBpebhxUmTot0Dn6NFjuJ+2iCdmrU1ibQL4YxmbYOcYlhdCKql zCD8aeAXLhaCCbLjEpJfk4xK81DQWWPu+vpp1AbX/PQVq0ezfZpE2oVwRrN7DTKuLp5QS4lB ICghIFgNCiZZkI7B/ImOdwkwc7l26BuLOCSVJ3cMiL8Q7W72a7Zfk4gzsFgIZzW70yAj64LE WnobJARUfWBVsZ+LyAeXt3mKcS6AtH9+pFZ3dyb77X2XJ6y3p2+bfZr9dWqCYPEm7VkhX6XZ fQYZWxfsH8cXP9I/i08KY3RJMMHuAQU9OHRArtHMF9tdJ8g3uKeWfsYg/oUdOBq3v4Xg+0Ft BuECzRzPNciVtfRVg8SjD1+UT9B9L+6XPPxRfs316Vc5q5mD/psUNHvChnJXLX35BFGU30YN oigV1CCKUkENoigi1v4DqOOxbTCuOgwAAAAASUVORK5CYII=</item> <item item-id="56">iVBORw0KGgoAAAANSUhEUgAAAHgAAAAYCAYAAAAxkDmIAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKHSURBVGhD7ZaBrYQgDIady4Gcx2lY xmF4LaDQ8oNgcndPwpeY3GmBtn9bXexkaKbAgzMFHpwp8OBMgQdnCjw4FYGN3fcj/NYYuy2L XcK1mXCbMFu876+NrN0TsWZJF72OcvxlDruvZL/u9CtH5E1teOxrfHZdqy3Kk1AU2G0KnWFH T9Hi4cKnY7ercyLaeXhtm2P/l4b4M5KCADl14ib33f9rQ9UYlX0QBYFDtdFGmeNmVwIFW20Y RF4TY05GPREvoDV+AG4avz7NEykc7YxRTULQc2FfAQtMG2ym3XFZcRFf3aFjO5x6G6X4NTWB 0/tsV8uV2dqnIBCYD/QjSAhUxDuI4wvO80iBBn78NOSmDFc7718849PU4pdggYnzleY2oZwg m4u755JcYDpsuxT1AlQ7j527cwgmP4r/WBc++1wMXgkI8TGDrl5nbuOPFAVmrkLV3y2KzkmY CWw2eYBPSPnQ+rgI0yA4n+euvfoRB72f0qOrCfwQPeOy7F/I09kMj/OdIwUW3RsInYFEYIdr 4qTO4EJJBT6Do+upSFxIXxT4Ln5NSWDOTdqVLlcwjr7xzAiBcXWEUao31qOCCmFPgs2DR6Na dnBvdWr4zK+N6Jv4EVhgn5c8V6CLO8czkwhMm5aCcyM2Sb77r5MTHXKBgL3cfbKNTp4CS6Gf 0V/dj7mJvwTuTNBAvD+I5UkDXAKfya9epEDRzqkTnBX3PNk6F0BqLxNU7TRQCfrb4VPU43cW uWBcfMJeC6XyBsR1e8D7dbKPrO/iA+PcOEGBcC1w0h8uHZ5/I/BZ5d1C6fcS/Z9iR34qcBzD PLKSMdU4ivC4/M6ofgs/7uDJp5kCD84UeHCmwENj7R+c4e95bqn1igAAAABJRU5ErkJg gg==</item> <item item-id="57">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAVCAYAAAD/wUjgAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFJSURBVFhH7ZaLEcIgDECZi4GYwxGY hmU6TCT8CdDaguJxvDtOqZYmjxRgsMnYQghbCGELIWwhBCJEgWAMhHLdadg4mGu98SgRxzKN SzjsD9l1Lo9UyAGS2x/mCsE4hFbiepKPiemQwItxbM7ptbxCqjf9GCVBT1SCm6jeoCq5YeXQ YQcI8ZUVZ3U0puSHCikrw3MqJHv3egN6TDv4W4Tczse7EMJJ+V5TLGC03c0MY/KLYA8uNx8H LqA1GkL+Zbd5NilVksn2k1aTUhXiLc4WgjvMsBgSIUhLSvOVsdvdxFdGnxGyYHVsskcOEYLU pHywqH5v92hCDky2dcZREYJQKVGIu8E+3FaGPxSdBzR2282fmbSistxzw4JL+5GiasN/8hOx aeb6JhCEsFfu5qq/KiZLTDZN+JP+qgQhTz5XhKXJ4fc7/fUAeAOMMI4FuBemLQAAAABJRU5E rkJggg==</item> <item item-id="58">iVBORw0KGgoAAAANSUhEUgAAAekAAAAtCAYAAACKwJOBAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAgNSURBVHhe7Z2JkaswDIZT1xaUeqiG ZlIMa/kItgEfYGyJ/N8MMy+bA1n6JfnI7nstAAAAAGAJmjQAAADAFDRpAAAAgClo0gAAAABT 0KQBAAAApqBJs2Ne3q/X8rLXe7Y//pJ7fg/znrLXgq7M7+X1Ny0f+/AYxBBEfKblz6sFr6w4 oCGJoEmz4rNMf2+VSvbR9Bc1Ykqy+Pn18T5rU0dycsPGJtukEUOwxdUHd6W1AQ1JBU2aE/O0 TEG1pqatEstl1ecTFXNKvL/oPTvYGTeSkxfz+71MVGhLVtKIIQhQuV8rBmhIJGjSzJnfXpOO oaQryTgkJz/mt46HXg2hSYNa6JhE6aFqZQwNiQRNmjVmJb2bVJRwRWeZim9y2pU5JTcydSDr Kqi+SSOGwNOAu0q0AA2JBE2aMweNODyLyp1JK2xyvtzWuJ6FF2yTg1ugbW4Xs9omjRiCkLXh ZvstNCQSNGnGzO90Arlm/ZfLsu8M2n+M5ByC8v3kFdPT292IIfBIHos5oCGRoEkzhYp3dmZs Z9FBk7aJGCTsbnIWzLwb8Zmm/Gp/KPMydapUuphSfHauOD6IoST6aWgXWhXv6AUaksS+htCk OaISLm68/urLh4p+NskGJidNNrIrfQaMsvPaShox5MRQP6magTognz0/oUlzQ58ThSusw3Nn SjLOBV7d5y0oMT/Tu/vWH/smLSyGoxmhIa0FaOgxxBpCk2aELtgqaTaXy6K4gZckpmrv7o8Y 6C+JzCYxv49vyx3aii/4UhsrlK+KfNqOsiaNGMqhg4ZsczXxVxfqwMMINfRt0tuzMudYP7jq un3adT+/NNZhUCG52X/t40gF5c6CJYwOMbwKv1yGhgKgoROEGgpX0t8ZmjPS8UDh/dJYB9Dt DKpxHLvZLQAxvmCWy9DQCjR0Dt9v2+1ua6zvWHoD88nQOW4dKwU3DvivQGM/OutKPXeSlnGk I4XOW9486RzDq3CqW1UaenKdgIZO42lo90yaDPueU6gX+0aPwQR0O8u5zn1jlZ98bhvIF2ks 2sB/X2ib6Gj2abaQWgu/WRwpOW7Q2SgkxfAqzTRwlSoN8a8T0NAAPA0dfHHMNUV17XqxkYP1 zOUoiL24a6zymzShE9RbFYTJaX0XO+cwrsaX2tf6Iv+0StZGcWShybaIieFl39+VyxE5O6vG IaNOiNCQbmz2M09/UAcNldjp+e6gSRPWkZsPWQfRxtD6pHQzu8Or2rA7xioj+XKYmeU6jjA5 jd82s81UkdLPOX820tKXBnGsKrAyEBHDC/UghEHdqtKQjDrBXkP0ee7N9rPPr4Jv1FCpnfo5 47vESloFxApya5Ax9rShX8gZV5PyKu3GemXysPv6DlcW7ZeD5LQi2wxLv6ckOYlWWmoUx6Mx WTjGOIuYGF6tB400kCVjJzRk6KihzzyrT1jRk4ri7wX43KuhYjs9/+xGx/+b0UZQa3AMvqF2 1kFXfDM10PRgxjfpZmPdYINtH4nACiMoElGiBcl5lIT6cw7imkzOGv+GNItjynYJCI6hee95 39+XyzEZO6s0xLBOiNaQhWw68d5+GrIc2en5btOkA+drrCHBD31Dw4EFKAPCz4rJiP0A47zE lb7pl6Zj3cAw+U5hfOLG7/uM/r0VseJ0ctb4d6VpHFO2i4V/DA3n6gHRVANZMnZWaUhKnZCi IQPZVLvd3VdDhkM7Pd8FTVo7O7RSY4Lg7507Q0ODN9zUpFvQfKwb6PVPaNLOJ2Ys9G/tg02S +YQJHXCYnLX+NTSPo7bvGXHz4RzDlXP1oLkGsmTsrNIQ2SJDbzI0RKj7Vq5s+2uISNjpacg2 aXNDMkZf3p2dkd9Lf6j/+lBgyVXuZkSlSenu10LM7caaht7Xwl4m2KRa/ZOKm/HZvoBjf5b4 1yR7+Lz/PnW1iuPJbTIRDIhhu3pwrwaa1q0qDZFNCT1yg72G6PVH/uSkoZSdCk9DBd8Y2GN1 vjZsPwr6RkdPGTJiZ0HhWH8EEm6JC+h16+wzRbl/r/3nBWX3KbdbLiNjmCZfD3poIE/aTmho pbeGSuzioKGcnb7fLjdpI1j374iHNenkWH+E0uRULyz7n3mK/UuvS8w8s5Td5+oZkwTGxTBH rh700UCetJ3QkEdPDal+E0wIdvsPAw0V2Olr6FST1jMIZZzZ6jBG68dxMFJNOto2qR5oJ4rH 2gV7/917G8Hc7c/i5NS25pOhzL/082uFr+w+yodD4up4cgwzZOtBLw1kyNo5QkN2LLv3vUdT 3DRE9rgxrld83/EaKrMz1NDJlTToj5dsG0GEieCE0CohT6MKGv4/6VIovnEM88XtdoTFcDT9 NSSgLkBDVcQaQpMWhk60OBnnKSoMdoY3vEtvBceW0YVEzcrDu1PxvTbrb4WYGI5moIa41wVo qJAdDaFJC2M3GXfQ2zIMmrQpDDyazSEqMcrOzTpCNrGIHyEghqMZrCH+dQEaynKgITRpYZQl o5kxs6nxoA6OkwbAGtSF54ImLYyiZESRF4uOrztj5HAmDUSAuvBc0KSFUZKMv/ArIE/HNeun /74taAPqwnNBkxZGLhnpeWxnPQGzNYkmDUpAXXguaNLCSCZj/Evyn2mZkJhioS/5oLCCElAX nguatDD0tzP3klEl4nqWiTNN8eD8EFSAuvBc0KTF4P3RAn2t50t6Fh08Zy8sw+QQF1M0aFAE 6sLTQZMGAAAAmIImDQAAADAFTRoAAABgCpo0AAAAwBQ0aQAAAIAly/IPg4pgHmLwyGEAAAAA SUVORK5CYII=</item> <item item-id="59">iVBORw0KGgoAAAANSUhEUgAAARgAAAAdCAYAAABxNHOLAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAS0SURBVHhe7ZoJkptADEV9Lh+I83Aa LuPDkF6hF7WkXohnkv+qqEwMSC3p8wGXXycAADwEDAYA8BgwGADAY8BgAACP0W0wn/19vl6v 5vbeP+FIAMD/zpDBbMf1n/P92s743/PYYDAAgIsBg9lvQykNxvy1w2AAAIG572AqgwEAgBsY DADgMWAwAIDHgMEAAB4DBgMAeAwYDADgMS6DObbyR3PROI5zSz8PP4Ipf3D3nd+/2LVRBvc5 97dZ13s3f80yGOvYyHPSvl2/J0pxpn33Nfa7n3xuPWHuNaa9HY9HkepN1o6Um99P/zj0fca0 0v5hCA2M5OI0M1+bZq72mLEHifwJ5hJ3GcxeZAsavhI7PLLopGHTBjMaK5xXnpOt2R8jCYYe uISd192bGFOOFeul5j8Sj8aZy3Wyz9k2GSm3Pb/cn64/1lRs12yk/aOEuFmcgVysZmZrs/u5 3iU4b+j3gPoVKZhMOnCbeFRMz5A3hsI1a1oknt5Yx7ade3WOfxLK+ljd4UxdKxp97IUQfG7+ aSiIkTpmKF4D6rW6ebMwSLk/n6R/FltHciEcRx3X5Lv0Le0fhNRAdy5BM7O1Sb0roWYnQH4H 450sJFrQ7NXYO6C0pq8ZjOmXFUR1DnUHKD+z4gl3mZFrlyN/aqjxryx68UjxmrgaizzhpqYN x+a2sYRAx8ZcRAZpv0hLAwRsLo1mCqZqU/TO1aQdlKHxJW+4S7TuaF9FcNnAdwzmfgKpzqEu LFdLvLCSnsdtWe+JO2GGX8d7392/Pj9nNlI8BtcH6qLRxmNy2zjinEyt7DHSfglGAxVCLlEz JRO1qXpncLPS34gaBmPxhaw2GH+nZDYpH9n0mm8YjH0sjuvqN5iU22yWtF8Sj1ubMRhzjE8X 8zf6rBUjSdBV1Rv5puFo5Hb9tnHdxujD5GKffqX9AqwGShRr6TKYwdrUvXMw+QmYJxiTyBW4 SOSL8M2QmqAYbgeqWEb4e7Ko6hxKLO5u0O7v8GtIgfjIT62Nmf30K0So+xa1RtgeKXe8WFoX 2tQrhISkgYKhuTCama1N6p3HGwx/zA1pMOlCet/Nn8Y3QV6PNNweNLG4JzMnBieMYsDUZylW YJMGY9cuhqCEHIRUnquK14V/WtIIVpebi2dqYuco7ecRNZChyNWlmRW1aWZh4ph6hg2mHqIP uOpV6V9+RUqpz/HDS8sT45pap9puzs+EYMSZ3mFv/IyzXJSQ1fH0qHvbkdtqjOxbGaNE2t8J W5sqV4dmFtXW7N0FoRWGzGDc4okz3ecm6Mrmj2MLZO76AWdkGuEqGIlFCsEM+f5MGJS9wGfW b3NZw862tjH7Gd/7Xc3p4jrjyfiLRxWjJzfTt9lXiF6aZmBQ51JqZkltGs3ZYzrmHgwmDjts SQXRXK5tRvSLsOJvm50fwr3mGdFwsULPGv1oiSvtZyYUN7gk10Sfq5nF7UpIr92ZSnWsJl4H SZ30DPO1iblL82n2zcyS7am0v5+WBtq56Lk0NXMxWJu6dzduLR1zb3zJ+9MxDZsyDgBAP/a6 63tq/aUGY3B3QpgMAH8Hay76714iv9dgHP2OCgDoZfw6++UGAwD4ycBgAAAPcZ5/AM5bFECB a3oIAAAAAElFTkSuQmCC</item> <item item-id="60">iVBORw0KGgoAAAANSUhEUgAAAEAAAAAVCAYAAAD2KuiaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAETSURBVFhH7ZYBDsUQDIady4Gcx2l2 GYfpm2KULntvGC/2J7Ig0/q0RcDiegH477J6AfjvsioBGA1SCFCb7z8koyWI3a5ttbY35dY5 mtRg3AQZl9pMAgAdU+BMbqBa2Gf3YUBLOjZBCpROIZBwanfFALCRkYO9AcA5HE+sUuiohD0a o7ixX0UAMJC9xqcACf+gBmlw7ON881YUgP/JFohvjRcFJ29XC3UGEPywBY/TnBHQwodkjXBI HITxANBe7xpwDqEaQHUKMAUK3wSdbgHrUwphfARYkWuv5zughHADQONr0Ov6JejtHqDyflQR lRlcMofjqRBAZf79kU4AtD3dmRUB4HXkwuLR/B+sMgIW0+IAAD6YwppMfqlG+gAAAABJRU5E rkJggg==</item> <item item-id="61">iVBORw0KGgoAAAANSUhEUgAAAEUAAAAXCAYAAABdy4LVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE7SURBVFhH7ZfZEcMgDESpi4Koh2po hmIUCGAbS9gSPkhmeDN8JJHl9epIomCCmKYQTFMIpikE0xSCxRRnFCi1PQZc+gTM9n3jRLGj uKKx7hRvQVcJCh6s1mB9fhmRxI6iUyMen5xIb67wVgNZdEnsKDo0kjslXqRUdtKZKuEeSewx sXpUVa8j1dhYtEVgOKdl58amWR7TRTKNDVMiOYD1FJJYHnhR7o74XnyNB50S2ji0WhRwnEcS OwqZRtIUZ9bNnCrWnnN+bKzUGvsmUo3IFLyZ223Hjy0zzTflrvHp0ViZ8t3SxM3S9sZfa9zY xPud0qsxm1JcwlUoCZYTZtOwY23IXDgzpWhojyofyfNgjY1F+wTvd4qcaQrBNIVgmkIwxJQ7 luiTJI3Pm7L8ff/VX7uBncYXO+VfAPgAjFbbGALR0qUAAAAASUVORK5CYII=</item> <item item-id="62">iVBORw0KGgoAAAANSUhEUgAAAGsAAAAVCAYAAABBlxC9AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAH1SURBVGhD7ZgNkoMgDIU5lzfoRTzH HoHTeBkPw5KAyE+QpKKuO3wztrXF8JqXxE6VGbyGYdaLGGa9iGHWixhmvQhv1mr0pIxStWMy enUrUxYzq9k+HuFjT9q+4rPMmYZ53yX97GM+TQ3Xwdcp1VjmLe2sZbZBS2NWPZdm4dqWADDT ixWahazaTPbaiagUSER4H9fVCuoGuDrZ0HljmVVCdZSrhKiwAquevjMLoDRBcvKNMGHPdRhb ZwE/bw2zbCBdRqGrxVVDd7P8l9mvh3O6oHAfZnLkY6kFX2cKP28Ns2ygIgoEz0W4DWvz+ZxZ Fj9mUIrVWB0rT3cXV2dAljfCrPhie+Rm4RoiIbHQjNNmWfBmbSv12Ix6ldZIfwQQhySYhacz QpA3cWdhgAfM2uIfV6szS35D7whLZ0Q/s+zcze5Zj5nljaDi7/wBs1o6fZ5Cx/Yzi+ChMSgx 63hNSu8xKNZwqVkohlhzsKmb4zeYhRqY94rL6GdWnjdv1vZzNjoOdoMg5aiJY2wJc8L3uFQh bGvqSXajN4pT0YbrmlnadPY3laszhZ+3tLPYQLBWB8og/yURAZqe7qprCWapn9S31rlr316G QXWdSbSrRFYhvxh0AIyIzeCcO3pUMxh1xvT/31Ebwaxvngf3ouLEw2vJ+eBOjPkFoX45fwhb lskAAAAASUVORK5CYII=</item> <item item-id="63">iVBORw0KGgoAAAANSUhEUgAAADEAAAAXCAYAAACiaac3AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEaSURBVFhH7ZXBEYMgEEVpxCq8UYFF eOZoDZZANTRDMRtYQRdEDYkayHh4M2IA/18+GwYwQu08JkrhMVEKhya0bIAxhgiVnvNr9k2o 1ohvQeG4B1GoEWJiAMmpyHhssKZ4B3peczUJDQmIiajSugPOGpDa/77xLmD66HJ63/Le6TsT 02SffRQRRMlzZ6QSmvC9L5TBpWI5CawyEXiCCSWoiASiT66biTUZ7J5cDviMTcfskWciseml xN/DMdVki2p07i/IvRMnE2taNRYXrc0Fic6Ax5fRnc6Ok4/PMufQhCFwfueldmSboLee5C7v H9vvETeET4k0HcapBvBkSIHcuC4ThrjF2ufqTAQRc/ejQhNrHhOl8AcmRngBlK1jguOiMrAA AAAASUVORK5CYII=</item> <item item-id="64">iVBORw0KGgoAAAANSUhEUgAAAD8AAAAXCAYAAAC8oJeEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGkSURBVFhH7VXbFYIwDO0iTuEfEziE 33w6AyMwDcswTEz6Imki+IDKET/ukaZpe29eOoAOjoq/+KPiL/6oyOKH1oFzDO01O8m9MwzR PvanbG+H6dIaUHwzryu03M50lJCZHy/Q4IGmvwknAj0m7MNZPVg7AIkvT0jADfrmBP3IbRq6 7L2o4iA9IiJIlxdi6VxzgTH7VIKRMKrIZxJh9HwQNgkxougffMImEO9VWfocof3i25gEq3It 2AMvRtNHz7pMlHzCl0rfIwV2rseZT0ysLR7hBwpmvLEytYJ4PbAKzAwqG3HQPTjHZ5avFPR7 KN7qpQxLPK8Wbq8Cyiry8bwMDp4b50uBQl/hJDCTSau/LVslDO30bqioIjEUFDGMYwtkB4W5 Mg6H+Z4vpRem/Vplrye7Lv9U5pPPR+IRIpoLvhtBi2J25FP2+OQzIz4dXsoC91sWHh9Ug/Id pLs0P8WdEvR62f8QyoEX11m86/AzbW6w/jbKvzr6RoaBKCe79nofYK0S2wQZBrJb/u4VjhOk 77XX6XuPEOK9YeX1noFM7Y3fRwd3U+MRt+CdCzQAAAAASUVORK5CYII=</item> <item item-id="65">iVBORw0KGgoAAAANSUhEUgAAADQAAAAVCAYAAAAJiM14AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADMSURBVFhH7ZbtDYQgDIY7FwMxT6dh GYaplY+jRzhJ6EnQ8Cb8AKWvT1tRoJdpA62uDbS6ukAeDQFAGNalxQka9b0GcpYDWorxHNlZ UApfAeQJjdxYz1mnkUG+cqd0vgKoyoRHMmAIZZTW2r+l9E1AESb3bCj3V9mzJrSd0rdUKGRB bBoM7KxMTGP0nmoqUH3PHVL6/gYK88e+Q6waqHHahG9D57RRt9ygb9YFEOss/yfQhAMhS+Fb gFJmYiZLD7/rT+GB2kCrawOtLaIDowr6eSg8DLoAAAAASUVORK5CYII=</item> <item item-id="66">iVBORw0KGgoAAAANSUhEUgAAADsAAAAVCAYAAAD4g5b1AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAD1SURBVFhH7ZUBDoMgDAB5Vx/Ee3gN n+ExXSmgVIjDwcjCuMREQcVrS1X4R2zZVdmyq3LIWq1QqezQNs5c5zSmGWfgGM9un4BDA7Qu GDprR2bWGQT6cDDlK7ywGLc6E7eopwmHtTjIXbIelgAUvj4IwiREVgz55x4u3gNXVbdsFDlf 5K8r8rWAXMe+yCBZIpYzZ44yVpS1KOHEzFIeKUtwU6KMQiFFfChbNMHr8SBSQ2VTdmvNqiqb V8MExsreZWqpPcvclWXZjVsW/90yfrcHxa9mbnPyhJ4yQJaj1hDx/L55oiGw5/e1b52bzK7H ll2VLbsmiC80/zh2ICsmiAAAAABJRU5ErkJggg==</item> <item item-id="67">iVBORw0KGgoAAAANSUhEUgAAADAAAAAVCAYAAAAAY20CAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADxSURBVFhH7ZXBEYUgDAXTiFV4swKL 8MzRGiyBamiGYvLBAAKKHx0VneGwBwHlrYkIiBN+mSpQmipQmh2BARkAMrE19zCyxy6RJSEw Iu8A4Q0CJnwqiydAod2iHevHyatA1DKnBWz1WhSb8yf4L0DhdZkItXl0k2DePBuCh9yOy7K0 NkCDXPoViC1XAnSDW59JIL5FzsswWWxoPUbPbXMEXnAaxdlmTNckFzlr4rMC+lryJijfEa5s oUBgHlO5kouia9tzl50sR1gJmI9ZyS8C3s8rhN48VcGO7YnccIwqwv0BOz7O457AN6kCpakC ZZnwB4whzcHnfrroAAAAAElFTkSuQmCC</item> <item item-id="68">iVBORw0KGgoAAAANSUhEUgAAADEAAAAVCAYAAADvoQY8AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADTSURBVFhH7ZSBDcMgDASZywMxD9Ow jIdxcA0KVA0xDUJuxUlEAQX4h3cc/QHbhBW2CSu0JjAQOEc+5v5SIvm0t8ttRMNpIhsYXWAO bMCnp4ABko6zf4eNm0AkzK8CmwIK7eAlhuJUwToGRFyYQApQ8qk/kSmwBghvN9Pno4laePTc 7+dTvuk05alKLZR5U2tC/horI1bMgDICahPaBecgcZ5n4jXWr4tZcarhNbXTbkzkAv9CxCNY x0BxtyYSbXEtilH0zZ7u0d/pR9kmrLBN2IDoAIeZPGm6kYxQAAAAAElFTkSuQmCC</item> <item item-id="69">iVBORw0KGgoAAAANSUhEUgAAAFUAAAAcCAYAAAAQovP+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHmSURBVGhD7ZfNlYMgEIBpJFV4s4IU kbNHa7AEq7EZi2GZgQkDokCE5O17c/h2wZ9RPoaRKK0XLbRFpHZApHZApHZApN5lG7RSyjK9 8JhIvcVLT04kto3YaROp99hnvbP+NonUpuzrQ5Z/O2a9jlJT+7A/9WjEjussUltCJUCktgS2 V16q3Q7E+y1PdH58Bl+9/ri61e251/ExA93Y4esen7dAjIde90NN9UU3dTMEPw/aCzahXaRm 4uPmftAbu5YccNlKWaFw/Ch1GvSEYv1FxG+kWnAAHVdIOr5NsmDMIDnzHgmpcAPNHs2QJS+V Mj28rwV5qfDOiefCV7lgMpLx8YseJVfqWMSJVNN2WwReX/NS+5GXCkRiC4UCyfjB0ifCEpDi XKoBH2QCwN6L+jVS4WebrzkJDh/Ec8qkAk5shVDga1IBEgNBaqW2pFwqYAZeIRQolupW8C2p vE6u/0Jqw0xFgS1rKsfNDmVscO6C7y9/J5T6FWLT8W1C8TGXvEck9WLZ4FKok9oSnKDLwURC iUKxp/GDLRQ8I+/gLRVngGVR6ka45jqgLxWHwX2MHYh/t+ulV08+PndTklRRpgoteEtVi2ny E5V9wYNSQRCX9Emf2oLxgX+clLv/BYviQqB9py8Ai/4Djq211IIaBxwAAAAASUVORK5C YII=</item> <item item-id="70">iVBORw0KGgoAAAANSUhEUgAAACUAAAAVCAYAAADB5CeuAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEjSURBVEhL7ZTtEcMgCIady4Gcx2lc JsNQBEQ0NLF3/frhe0erYvABSQL8oTbUqjbUqlyoI0cIIailgosl8T+pQGrrH9AEdUCOFSTh sV0lGTjSF6G4QhHyIQtWWKnoOt4vA8XZh0+l/4I6FFZivKIrcQIx2t5rV95aoMXq82q92q0F jF8OV6jW3CeoI0OUgPwgNryMaS/5xyuvsTqQ8UmsVORWyMRPReHxqVJ+30g2jViD85ReBM0G 96aMvyiJORudMcWwyXUo2RSiBBx0DWWzrONh3Y2HcqF4bhpdMrYbVTdQ6s+9SlUEO35eVKtQ GGXsF9UdFEquyn3OVgv3Pb8+F4o1f9HJNLDTpKQK4FXF7kcjiilGYaA2d6F+rQ21qg21JoAH 1wTGnJA7idYAAAAASUVORK5CYII=</item> <item item-id="71">iVBORw0KGgoAAAANSUhEUgAAAIwAAAAVCAYAAACUqQa1AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJJSURBVGhD7ZiBkYQgDEWty4Ksh2ps xmI4CLggCSSsgZ254c0wdxtXSX6+0bvNLhYdLMMsuliGWXSxDLPoYhlm0cXHMOex2W3L1nHG I+Wxw57nEX7G409Oe1SP3VzW7O5au3G/3UjO0yTmkNf8WLs1KbmMb+vj6epBjCe0dafjzwlz Gbu7hHZCKZ/wJ14zTNNINz6RWHgpKOxfa9QgIGe852UOnMfb+iRIe5AzSncijh9JlID+xMzt 8BmJQTkyODo/9eYyOy0oJMkVr0jFMBil+iRIevBhsO5FnHiHKceW/1wKelpTKEy7P7i6V1A4 RoozANQcV6/Be2vWxyPpQWCG7nmcfukFV8UNnaDkGHzgE8Sm+oxAWE/3NgUVTJl03fZiQYZx eSPRlOuTIOrBJN2zeFVR79zNuZprHACi1zb65g4MRVPn3SRB2osFci/OKzdWr08G24Npuqd4 XdG4KT9dYhIDEpfs/RoQvT1h9OsTwvRgnu4p3rgFk6s45iU+AGQY/A6jX5+Udg/m6a5smHmj MYEeI5XFggxDoF6fFEaHabqnuI5h4LuE6I3Ew/O5kjicRwiRQZmDWiwSw2jXJ4brwSTdszip aBh1mfAC1/hE8CiLfx7Cde5Eggjp+rhg2F+w5zvy3OJq7KlZX/pO/aaQ9mCG7nlccAtKqbi9 G3+dupC/Q6u+BPnf5G5G6/6MKxrGAaPrTfI+Oelj8Ae8ri/HTwGlG2OY7jiuaxig5lSOb8+b jUae3iy600pfdzo+wDCL/8wyzKIDa/8A9TPWSt9E97gAAAAASUVORK5CYII=</item> <item item-id="72">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAVCAYAAADo49gpAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGnSURBVFhH7ZZbkoQgDEVdFwtyPa7G zbgYJonYPPoSIK01PTWcKj4kmsclgIufmJjCGZnCGZnCGZnCGXkJt6+LX5ZkrHuwlLbVR8vF 7lc4Hzk29/IRXbe/uxtLnSj3vOOOzTsyuu0IExF2iubJkAWBZO+wWIl4EtN55PoxRuqs5P6+ VeXFohAOlKxMBHXM4TeXdlX5THAMt5ElIIU0xL+brjrruYMz7nw5FsbPuCNwF3Z0FJiT7ZBl +DQddSq548tBjKF4UhhuURGoFPQULTsnZGXLbirEZSSm3nXRrz66adWp5F6NIgclrUC1GOiU SJNheoWDczlIJDRGUOu0CHcJgLuNzXzTGIUr3xHOhGrxHkOrU8ldWR69A7qFk+eOs+O3hNPq VHI3C4fbmCiFC4dw6kdET29VoRGPQNsSjTG0uPXc7cKJvewa4k04gkV+CVXxK9+BhUhAIqEx RqPOSu4wyrkNk2QqXvHvSLjm5dsoROoTuRN7Nftn6K0T5T66PAWVrhuG/ejd9m18KByBDtAh GlvlS/lcOMHaMX+v0y5uEu7/MYUz4f0Pg5MrFwnB4W4AAAAASUVORK5CYII=</item> <item item-id="73">iVBORw0KGgoAAAANSUhEUgAAAI0AAAAVCAYAAAB7a22LAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALzSURBVGhD7VaJrcMgDO1cGSjzME2W yTD5+ArGGBJaenyJJyE1xfh4fjh5HBMTnZiimejGFM1EN6ZoJroxRTPRjVM02/o4Hg+11o13 7N56pJ0PYQ/HonOLS6VXB5+7ZfsUtmMd7h98XnG8H2GJPCwh/noFV/n7ueSThkleQpkKCMf7 /90gwS5HFlpE1OrWtvYJrBtE+FD/mPOVYFLc10TDwrvKH7nO+S9fT5i406T3MN/EHpYyF0FD 4CfY5m2pD/Xv3WpqrOcfuekWjfF3N3+0S7k53zR29MFzpXEZRLlXN+Uu+EZVibkR7x+Jxp/k xME40Rh/HfljPDb0P4S1szh5vvFakhxasb1JVHybSR0IERot7Zt8yZ4WYn4ma5TkGC9VeTad o/j12NRMezH50pwrvxz9onH8GdFk3CXSCGhLOfiiiUAHkQw9lnrgNS9bNikL/ia5Fo0pWhEp OaSmqcZowuC3OreHwDVTo1MO3HixtT5M4yG/y9iA2reMtVPoF02E9Weet9UKVyNNqapoxGGr aW/FjfgkGi4U7U3RmhQWoV3on+0KIXvN1D717wgU6ekjCmXlprZigyXW8U3RmNeWC7KBnOui Ucr6DnicNoihSUJku8RrkqBxLZLZFhvKRfvNTORl/nELxMHCjb+z/xuxvy0aEbEXJ+EDonn5 9RRBZFZGJhcstzVrmECThPtOYyzQTp+xHCheiqby6ytOmHPKAK5i1/YL/wkjRQPPTa4Rqe4f njQEEp8vhlx4lG9GfkaS+R4BxGbJxAjKFcQkMfIZ5TNrlm0CwBVaIzY9xNydhnn+GcjLQNEA 9OQugLa054qGVAcOeHlZFygJHgZuRFq1GyHCKReVYPalLiav+B8hdfE6G6V96XzA3uOgEpuR hKqhY4tPW6PHhdjYPEwtxkfe9/ws7nHOjUkz8VlAo2uX4TnsYR3kD3JLIpqi+SXgxBslnNrE 6wVNLT0Yp2h+Dvmtfg4gmBHi83OZopnoxhTNRCeO4w8f1gV8m77zlgAAAABJRU5ErkJg gg==</item> <item item-id="74" content-encoding="gzip">H4sIAAAAAAAA/2xTzW7TQBCetZ04dpPmh7QkhRCSlFCHH0FPXJCWqoIeEEg9pXAoTuK2qVQS 3AX1mCfgFbjwCIg7Qlx5Bl4EhZnZSeiha431zew338yOdvMAoNBitJCxi/9c8mE/OR5P3ntA awctGE2GNuZy7AXRzoavB6fJ0HAE3nG+g//s+cl0Z3Jhw2/QfAzsL4lv0fpofwKAKVb/Ff73 aT11bVMOOC6DyrL4M2PS8eCjSSxzD60Il5en99qXfQcyLOGZNElqHNJohSnDrNb1HwCzjK/1 FwQ6mxPgBwJyoYBgRWsHixns1lHqCeSt/836j1DUMmfBqtbUli5QexbPClywpHX4E71cWWvv L1JKFasyKgO4Tr8P16z/tUyqpwBVrSu/MaO0JsQqbRzAutaf8RCzKlyXjHVSMI+5Tk1a8evS fW1DQP2GpX/akLZvWv/7woeG5NZvyTEaKNiUYzRY/rZ4dqAtSci2pUarI6C9KU13SHwAd2Rk nUWtrqS270qtLuptiXqX1SMZWasnI4vuiWiPVAzcl/P3ZGIPxI+W83jIt7I42j48TuPpyeHR JD2LTYblO3S5Obwbm9hemq3l5cHlyhOhk68xJi+ML8bnz1nHPgisDq+UcO2a4weqd3X05RXR hbhv0niYbO86dgBCbKoSqEjNCSkV4ea8qRwVuZjaVK6KvDlFPOTAHEEGOTONW1niUJbPHAQ5 4hA5IB1KD5HD6SvI4fQ8cji9wLUQrDIHQZE4RJbm/wEAAP//AwAo3/0bRgQAAA==</item> <item item-id="75">iVBORw0KGgoAAAANSUhEUgAAARgAAADlCAYAAACI9ej/AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA0cSURBVHhe7d2LlaLMFkDhjsuAjMdo TMZgHB7iIOyjKFW8an+zuMu2/e07RdVuUEf/7pKUiYGRlI2BkZSNgZGUjYGRlI2BkZSNgZGU jYGRlI2BkZSNgZGUjYGRlI2BkZSNgZGUjYGRlI2BkZSNgZGUzeEC8/f35+b2w7aduVP9z+i6 NbYUDhkYjVVT5nFJfZsclw3MYQMTMDDMwLDNjctG5q+BCRgYZmCYgWEGJmBgmIFh9bhsZsps aO4amICBYQaGGRhmYAIGhhkYtplx2di8NTABA8MMDDMwzMAEDAwzMGwT47LBOWtgAgaGGRhm YJiBCRgYZmDYJqaLgdkPA8MMDFt9umx0vhqYgIFhBoatPi4GZl8MDDMwbNVx2fBcNTABA8MM DDMwzMAEDAwzMGP1VFltXDY+Tw1MwMAwAzNmYGIGJmBgmIFhq4zLDuaogQkYGGZgmIFhBiZg YJiBYYuPy07mp4EJGBhmYF5108TAMAMTMDDMwPzXnyIGhhmYgIFhBoYtOi47mpsGJmBgmIFh BoYZmICBYQaGLTYuO5uXBiZgYJiBYQaGGZiAgWEGpjWcHouMyw7npIEJGBhmYFoGZhoDEzAw zMCw7OOy0/loYAIGhhkYZmCYgQkYGGZgWNZx2fFcNDABA8MMDK93A8MMTMDAMAPD693AMAMT MDDMwLBs47LzeWhgAgaGGRhmYJiBCRgYZmBYlnE5wBw0MAEDw0oOTD0lomlhYJiBCRgY5hEM Sz4uB5l/BiZgYJiBYQaGGZiAgWEGhiUdlwPNPQMTMDDMwDADwwxMwMCwUgPzaTokG5eDzTsD EzAwzCMYZmCYgQkYGGZgWJJxOeCcMzABA8MMDDMwzMAEDAwzMMzAMAMTMDCsxMBMmQqzx+Wg 883ABAwM8wiGGRhmYAIGhhkYNmtcDjzXDEzAwDADwwwMMzABA8MMDPt5XA4+zwxMwMCwkgLz zRQwMMzABAwMMzDsp3EpYI4ZmICBYSUF5hsGhhmYgIFhBoZ9PS6FzC8DEzAwzMAwA8MMTMDA MAPDDAwzMAEDw0oIzC+7/qtxKWhuGZiAgWEewTADw4oNzO1yav7yzXa63G+P6zsGhhkYNnlc CptXhQbmej+fr4/LzMAwA8MMDCszMNfL/TI8ZBkwMMzAsEnjUuCcWiww13O1C6of1m2nxwp/ ub46qph6u9/d7pfT437g1KhTf19j1ag9Lh3PnF0+aVwKnFOp1tG0e7me24U9CEQdj5erpt5u pjZaJzyaaX6+f/yT6E81oXpfFfRn0cDUmnj0FnX1NUZj6u1mah7shTtONTBHU08ajX0cl0Ln 0/KBqTRHDvXpye1yP72pxtTbzVLft88iTWZg2NtxKXgurRKY5+Mgbx4DaU253fV+Dk5zJgni ZWDYUQMzd3cbGLZuYKof/v7AZOrtfnc9x4/BaOyIgUmxqw0MWyUw3aJuX+wWH31Mvd1X6iOW 6i9d/8XfhcvAsCMGJoVwXAqfR4sHpo5Ff1E/H2d5fN2ZervqO/NOkQIGhhkYZmDYooGpI9G9 ruWpO6Lo1WTq7dq4VNcZmMUYGIbj4hxaKjC9F7dV2/9GdIF4bKfz/Tzpdr0jmSY8BmYp1eg/ Lh1Dqt2M4+IcSraO1htJA7MoA8NG4+L8aRiYgIFhRwtMKgaGGZiAgWEGhr2Mi3PnycAEDAw7 SmBS714Dww4SmPO9/9xSCgaGGRj2HBfnzYv9BqYJS7Vbq+3lmetEDAw7SmBSMzBs/0cwmRgY ZmCYgWEGJmBgmIFhzbg4Z0YMTMDAsL0HJtduNTDMwAQMDDMwAecLMjABA8M8RQo4X1D+wNQ/ YI1tJgPDDAyo5orjwjyCCRgY5kICBiZkYAIGhu1xIWXdlY87NzDMwAQMDHMhDRiYtwxMwMAw F1JPb444LszABAwMcyH1GJiPDEzAwDAX0sNgfjguzMAEDAzb00LKugsNzCQGJmBgmAvpwcBM slhgmo8dqX5Ysz3ftLv3Zt7BR5eMPl1gCN5watJ/94GBYdWeelwqGMwNx4UtFphG84H2gzeH qgJxhhg0H7Y2fKOX4QfgN/dXB2r8jnb40SdfMDBsDwsp+64zMJMtG5hKcyTzrMTtfjnDh6nV 4YB3kar/2/HV8Qev8e2nMTCs+MAEd25g2OKBaU9pHkcxwyOSRvsZSsPrmyOa6v9ss72cTsWB aX4WfhrkZwaGFb+QDMxXlg9MpT19ufLRSz9APbdbdXsIz9vAvP3eewaGFb2Q3swJA8NWCUwb keD0pT49wqMOPrJ5H5Hov/nMwLCtLqRFdpeB+do6gWkWfhAFA7NpxQbmww8wMMzABAwMK3Yh GZifbC8wwWMwvwXGx2BSK3IhTZgLBoYtH5jH4y/1D663cTDio47mKe76v+uOcD7dV/19n0VK qhrpx6WCTJgLRY7LBKnWUdrRDU+TvuPrYNLb0kJabBcZmJ9tMzAVfCXvF9qnwn9PlIFhxS2k ifPAwLDNBqZRHcn8Egn/LVI+BoYZGLbtwKzIwLAtLKTFds0XP8jAMAMTMDBs7YW06G4xMLMZ mICBYcUspC/3v4FhBiZgYJiBYQaGGZiAgWFrLKR6Vyy6O374YQaGZQ9MNDlyXz+XgWFFLKQf 9r2BYR7BBAwMO/xC+nG/GxhmYAIGhh16IdX73MAkZWACBoYttZBmrPXvJfhhBoYZmICBYYdZ SF1Uki0A5wsxMAEDw3a/kBJGpc/AMAMTMDAs50LKtPZbWe8877jsmYEJGBi2q4XURWWBfWlg mIEJGBi2i4W0UFT6DAwzMAEDw1IvpGTD3EVlpf1mYJiBCRgYtrmFtGJU+gwMMzABA8M2sZC6 qGxoHxkYZmACBobNXUizhnVjUekzMMzABAwMWyUwGw5Lx8AwAxMwMGyxhdRFZSf7wcAwAxMw MOzbhfT1MO4oKn0GhhmYgIFhWRZSF5Udj7mBYQYmYGBY0oW086j0GRhmYAIGhn1aSJOaMelG +2JgmIEJGBj280LqonLQcTUwzMAEDAwbLqSPzfh4g2MwMMzABAwMm7SQuqgUNIYGhhmYgIFh b7vx9pvHZmCYgQkYGDZaSF1UCh8vA8MMTMDAtIbteC6k4TcKZ2CYgQkYmIBhQQaGGZhAqYHB fnRXVpsLiTkuzMAEPIKpdGHpcSExx4UZmEApgXk2pLvQ34ALiTkuzMAEjhiYZze6C/1tIhcS c1yYgQnsNjC9aDR/hd7XKbiQmOPCDExg04HpR2O49Qy+TMKFxBwXZmACqwemCwZt4M23knIh MceFGZjAIoHpqkDbGxNuko0LiTkuzMAEkgWmqwFtE3xx00W4kJjjwgxM4KuB6SpA20BwdXj9 1riQmOPCDExgNC7VFc8IdBceW3dxKLp+z1xIzHFhBibQjEtXiKNVYgYXEnNcmIEJpBqYo3Eh MceFGZiAgWEuJOa4MAMTMDDMhcQcF2ZgAgaGuZCY48IMTMDAMBcSc1yYgQkYGOZCYo4LMzAB A8NcSMxxYQYmYGCYC4k5LszABAwMcyExx4UZmICBYS4k5rgwAxMwMMyFxBwXZmACBoa5kJjj wgxMwMAwFxJzXJiBCRgY5kJijgszMAEDw1xIzHFhBiZgYJgLiTkurNDA3O6XUzUlqr/83+lS fTVmYJgLiTkurMjAXM9/99Olzcrtcrr/na/N5T4Dw1xIzHFh5QXmdrmf/s73/0m53s8vX7cM DHMhMceFlReY63lwWtSeLg0PYgwMcyExx4UVF5jxKVEcGDc3t/lbCocLjKTt2M/x4cRTJEnb sZ/ADB/kHT3oK2lr9hOYyvBp6u6ypG3aVWC606LmQSjPjaTN21lgpuqFKHjFb7GaU8vT3YO/ nvrxve7ZE39x/ZdgXA4ZmCmv+C3Sc8IYmKc6uN38aOL7f+6U7Xo/P9dN/aLW355QOV5gRg/+ 8it+y1WPh4Hp3K7XlyPc5heSR73VQNxexqD+pW1gaj6d/YGBeWs0fzTnLOBwgfEFeZ8YmHd8 drJv/pMqBqY4BiZWjY1HL2MzHpvyFKk4BiZyPftYXeTX06TjP8g7etC3dAaG1AvIX0Jv1L+4 DUzLV/y+Y2BGqsXzMkeqr41NX30W8NucOWRg2gGZ9+DUIT3OpbsXTzk07S+gbjz+bx7xvo7L 77+QDhoYSVtgYCRlY2AkZWNgJGVjYCRlY2AkZWNgJGVjYCRlY2AkZWNgJGVjYCRlY2AkZWNg tG3NP9D0X3/vlYFRGine4mB4H/V7kMz817xal4FREr++63wf34fvX7NnBkazvbx3yI/vaRvf h4HZMwOj2W63a/C+x9PjkOI+tD0GRgmkeGP16D4MzJ4ZGCVgYMQMjBJIEQcDc0QGRglQHOow fPMUs4E5IgOjJOqnmEfPAOGL5B7hgWebRvfhpyDsnoFRPm9ehXu7XKrU6OgMjPLBwLSnQn4Y XhkMjPLx3xEVz8AoHwNTPAOjfJrA+DGsJTMwSq8Ji8/8yMBIyuZ+/wfKQcVerZ4RjQAAAABJ RU5ErkJggg==</item> <item item-id="76">iVBORw0KGgoAAAANSUhEUgAAADwAAAAVCAYAAAAaX42MAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEcSURBVFhH7ZbtDcUgCEWdy4Gcx2lc xmF4ih9RgxVbX5u0nsQfWlK4gLQCPsYW/Ha24LfTCDaghABl4vZGrJYgnG+/OP6NCrZ+SW3j 6ZhCcBDLdbgUo5xf5SLAzTDpKDYbBHuu6LrCVoO8XbAFLRufPgFSuycEGGNKTqRK2DHPC0af EqoCUWcJStxE3B3BIet4R/6tnqzOQVujPZWgC4LzC6mXN5TDg1yjKGYFx2dVyzPiTBy3NO55 LzoNJXhUsVyYcq24wyPHK6CSSp11CddvzZRmCL7c0sSUxm9yb0o3zNh6nq+wx7d1Dnr8HQ6k wcpr5UQhOA4DXK6dTBCb99wUnqT/pxWFpYTEIni7mT+sRF3hD7AFv50t+N0A/ABXUWKU5UoF sAAAAABJRU5ErkJggg==</item> <item item-id="77">iVBORw0KGgoAAAANSUhEUgAAADQAAAAVCAYAAAAJiM14AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADYSURBVFhH7ZYBDoMgDAB5Fw/iPbyG z/QxHR2DgQwpEVljuAQTMUKPQlXhw9hC0tlC0klCzihUKmvaIoQHRb+2796bcWiyOY37dDMo MwQWdTUAoNVjg16DZIy/BsBqL/W979EVosytk/EAhJ2RIEGN3I1xIrQ6Mw0opoEgGkKCZOJZ ZvJT6EoBqIrLsTFXKZyd+N6EMxQDW1PV2kQxbhynRUGGVNj+U4SIUalZWy6HxuS+1hUi/pop immgMCShamXTIOVXu3x2A4c/k9G5ygw9gC0knS0kG8QX21kKpWmMphkAAAAASUVORK5C YII=</item> <item item-id="78">iVBORw0KGgoAAAANSUhEUgAAALAAAAA7CAYAAADbwABFAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACrSURBVHhe7dIBDQAADMOg+ze962gC GrhBmMCkCUyawKQJTJrApAlMmsCkCUyawKQJTJrApAlMmsCkCUyawKQJTJrApAlMmsCkCUya wKQJTJrApAlMmsCkCUyawKQJTJrApAlMmsCkCUyawKQJTJrApAlMmsCkCUyawKQJTJrApAlM msCkCUyawKQJTJrApAlMmsCkCUyawKQJTJrApAlMmsCkCUyawKQJTNj2R0ynMN389ysAAAAA SUVORK5CYII=</item> </binaryContent> </worksheet>