<description/> <author>Константин Титов</author> <company/> <keywords/> <revisedBy>Titov</revisedBy> </userData> <identityInfo> <revision>39</revision> <documentID>dec77cb3-abd8-4d0f-9fc3-94ce85be1348</documentID> <versionID>ccbdbe50-ffcb-4092-9800-4dfe2a582b22</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="30" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.5" page-height="842.25"> <margins left="56.66457" 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;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\cf1\f0\fs16\{p\}\par \{f\}\par }</left> </header> <footer use-full-page-width="false"> <left>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fnil\fprq15\fcharset0 Arial;}{\f1\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} \viewkind4\uc1\pard\lang1033\f0\fs18\{d\}\lang1049\f1\par }</left> <center>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} \viewkind4\uc1\pard\qc\f0\fs18\'d2\'e8\'f2\'ee\'e2\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="2011" 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="1735" left="30" top="11.25" width="406.5" height="15.75" align-x="30" align-y="24" 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="14"> 2.3. Метод, использующий разложение решения в ряд Тейлора. </f> </text> </region> <region region-id="1736" left="30" top="36.75" width="459" height="148.5" align-x="30" align-y="48" 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"> <inlineAttr underline="false">Его можно также назвать методом припасовывания для решения краевых задач ОДУ.<sp count="2"/>Отличие этого метода от<sp count="2"/>предыдущих состоит в том, что исходное дифференциальное уравнение не надо<sp count="2"/>представлять в разностном виде. Искомое решение разбивается на ряд участков (число их в пределе должно стремиться к бесконечности), на каждом из которых оно представлено рядом Тейлора. Далее эти участки припасовываются (сшиваются). Алгоритм припасовывания описывается системой линейных алгебраических уравнений, имеющей, как правило, сильно разреженную матрицу. Именно эта матрица определяет пересчет краевых условий для каждого из участков. Решение же самой системы линейных алгебраических уравнений можно проводить методом Гаусса или другими методами, являющимися частными случаями последнего.</inlineAttr> </f> </text> </region> <region region-id="1406" left="24" top="192.75" width="447" height="54" align-x="24" align-y="204" 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">По-прежнему будем рассматривать<sp count="2"/>систему линейных алгебраических уравнений</f> <f family="Arial Cyr" charset="204" size="12">с сильно разреженной матрицей, </f> <f family="Arial Cyr" charset="204" size="12">задающую алгоритм пересчета краевых условий</f> <f family="Arial Cyr" charset="204" size="12">от предыдущего участка к последующему<sp count="2"/>в общем виде и представляемую </f> <f family="Arial Cyr" charset="204" size="12">формулой</f> <f family="Arial Cyr" charset="204" size="12">:</f> </text> </region> <region region-id="1413" left="36" top="258.75" width="279.75" height="17.25" align-x="75.75" align-y="270" 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">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">B</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:id xml:space="preserve" font="1">...</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">D</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">m</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">C</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="2"/> </region> <region region-id="1756" left="336" top="258.75" width="64.5" height="15.75" align-x="366" align-y="270" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:range xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">i</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">m</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> </math> <rendering item-idref="3"/> </region> <region region-id="1757" left="414" top="258.75" width="68.25" height="15.75" align-x="447.75" align-y="270" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:range xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">k</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">K</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> </math> <rendering item-idref="4"/> </region> <region region-id="1486" left="24" top="282.75" width="491.25" height="183" align-x="24" 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">Где m - порядок диф. ур.; К - число участков припасовывания или дискретных </f> <f family="Arial Cyr" charset="204" size="12">значений переменных, вводимое для численного решения задачи; i - порядок производной или номер краевого условия; </f> <f family="Arial Cyr" charset="204" size="12">k - номер участка припасовывания.</f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> <region region-id="1417" left="27" top="324" width="21" height="17.25" align-x="36.75" align-y="335.25" 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:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </math> <rendering item-idref="5"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> - дискретные значения искомого решения, записываемые в матрицу "Z". </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">Смысл матриц А, В, ..., С будет пояснен ниже. </inlineAttr> </f> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">В частном случае, когда заданы все<sp count="2"/>Z</f> </inlineAttr> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">i,0</f> </inlineAttr> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12"> - начальные условия задачи Коши, </f> </inlineAttr> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">формула (1) определяет их пересчет (алгоритм пересчета м.б. разным) в конеч-</f> </inlineAttr> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">ные значения Z(x) на участке припасовывания (или начальные значения последу-</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">ющего участка припасовывания). Вместо начальных условий могут быть заданы краевые, отличие которых от начальных условий состоит в том, что какая-то часть </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">из них задана вначале, а другая - в конце интервала изменения переменных. </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> Ниже приводится алгоритм решения для случая 4-х диагональной матрицы.<sp count="2"/>Параметры дифференциального уравнения следующие: m=2,<sp count="2"/>далее см. по тексту. </inlineAttr> </f> </text> </region> <region region-id="1428" left="18" top="486.75" width="500.25" height="109.5" align-x="18" align-y="498" 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">Описанный ниже алгоритм справедлив для дифференциального<sp count="2"/>уравнения (линей-</f> <f family="Arial Cyr" charset="204" size="12">ного): </f> <f family="Arial Cyr" charset="204" size="12"> <sp count="49"/> </f> <region region-id="1427" left="165" top="514.5" width="88.5" height="15.75" align-x="225" align-y="525.75" 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:plus/> <ml:id xml:space="preserve">z''</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> <ml:id xml:space="preserve">z</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="6"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="60"/>(1)</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">с заданными граничными условиями:<sp count="2"/> </inlineAttr> </f> <region region-id="1429" left="225.75" top="531" width="72" height="17.25" align-x="264.75" align-y="542.25" 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:id xml:space="preserve">Z</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </math> <rendering item-idref="7"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>,<sp count="3"/>Z(x</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">K</f> <f family="Arial Cyr" charset="204" size="12">)=Z</f> <f family="Arial Cyr" charset="204" size="12">0,K </f> <f family="Arial Cyr" charset="204" size="12">(</f> <f family="Arial Cyr" charset="204" size="12">или<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">Z'(x</f> <f family="Arial Cyr" charset="204" size="12"> K </f> <f family="Arial Cyr" charset="204" size="12">)=Z</f> <f family="Arial Cyr" charset="204" size="12"> 1 </f> <f family="Arial Cyr" charset="204" size="12"> ,K </f> <f family="Arial Cyr" charset="204" size="12">), но просто обобщается на случай уравнений более высокого порядка, имеющих гладкое решение и разрешенных относительно стар</f> <f family="Arial Cyr" charset="204" size="12">шей производной. </f> <f family="Arial Cyr" charset="204" size="12">Для участка с номером "k" решение будем искать в виде:</f> </text> </region> <region region-id="1431" left="24" top="615" width="432.75" height="35.25" align-x="69" align-y="636" 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="auto-select"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:id xml:space="preserve">x</ml:id> </ml:parens> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>3</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>4</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve" font="1">...</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="8"/> </region> <region region-id="1455" left="492" top="624.75" width="15.75" height="15.75" align-x="498.75" align-y="636" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>2</ml:real> </ml:parens> </math> <rendering item-idref="9"/> </region> <region region-id="1784" left="90" top="660" width="165.75" height="33.75" align-x="90" align-y="660" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{0002CE03-0000-0000-C000-000000000046}" type="embedded" item-idref="10"/> <rendering item-idref="11"/> </region> <region region-id="1783" left="30" top="672.75" width="21" height="13.5" align-x="30" align-y="684" 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">Или</f> </text> </region> <region region-id="1787" left="24" top="732.75" width="482.25" height="43.5" align-x="24" align-y="744" 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">В (2) введены следующие обозначения: Z</f> <f family="Arial Cyr" charset="204" size="12"> 0,k </f> <f family="Arial Cyr" charset="204" size="12">(x) - функция от х;<sp count="2"/>z</f> <f family="Arial Cyr" charset="204" size="12"> i,k </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal">/</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">i! - коэффициент</f> <f family="Arial Cyr" charset="204" size="12">ряда Тейлора решения дифференциального уравнения</f> <f family="Arial Cyr" charset="204" size="12">. Отсюда из уравнения (2) формально можно записать</f> </text> </region> <region region-id="1792" left="36" top="792" width="204.75" height="33" align-x="36" align-y="792" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{0002CE03-0000-0000-C000-000000000046}" type="embedded" item-idref="12"/> <rendering item-idref="13"/> </region> <region region-id="1793" left="30" top="840.75" width="393.75" height="16.5" align-x="30" align-y="852" 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">и получить значение первой производной от </f> <f family="Arial Cyr" charset="204" size="12">функции </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 0,k </f> <f family="Arial Cyr" charset="204" size="12">(x) на участке k</f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> </text> </region> <region region-id="1434" left="24" top="873" width="346.5" height="35.25" align-x="69" 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:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:id xml:space="preserve">x</ml:id> </ml:parens> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>3</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>4</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve" font="1">...</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="14"/> </region> <region region-id="1454" left="492" top="882.75" width="15.75" height="15.75" align-x="498.75" 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:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>3</ml:real> </ml:parens> </math> <rendering item-idref="15"/> </region> <region region-id="1794" left="30" top="912" width="477" height="58.5" align-x="30" align-y="924" 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">Именно эти выражения (2)-(3) необходимо пересчитывать на каждом участке </f> <f family="Arial Cyr" charset="204" size="12"> k </f> <f family="Arial Cyr" charset="204" size="12"> из </f> <f family="Arial Cyr" charset="204" size="12">начальных<sp count="2"/>Z</f> <f family="Arial Cyr" charset="204" size="12"> s </f> <f family="Arial Cyr" charset="204" size="12"> ,k </f> <f family="Arial Cyr" charset="204" size="12">в конечные</f> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> s </f> <f family="Arial Cyr" charset="204" size="12">,k+1</f> <f family="Arial Cyr" charset="204" size="12">, где<sp count="2"/>s=0,1,...(m-1),<sp count="3"/>m</f> <f family="Arial Cyr" charset="204" size="12"> - порядок дифференциального</f> <f family="Arial Cyr" charset="204" size="12">уравнения или число задаваемых краевых условий. Коротко производную порядка s</f> <f family="Arial Cyr" charset="204" size="12">на участке<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12"> k </f> <f family="Arial Cyr" charset="204" size="12"> можно записать так:</f> </text> </region> <region region-id="1795" left="156" top="981" width="274.5" height="51" align-x="156" align-y="1008" 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"> <region region-id="1724" left="156" top="981.75" width="274.5" height="50.25" align-x="289.5" 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:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:equal/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">s</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:id xml:space="preserve">x</ml:id> </ml:parens> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:id xml:space="preserve">x</ml:id> </ml:parens> </ml:apply> </ml:parens> </ml:lambda> <ml:degree> <ml:id xml:space="preserve">s</ml:id> </ml:degree> </ml:apply> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:lambda> <ml:bounds> <ml:id xml:space="preserve">s</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:bounds> </ml:apply> </ml:apply> </math> <rendering item-idref="16"/> </region> </text> </region> <region region-id="1796" left="36" top="1038.75" width="474" height="46.5" align-x="36" align-y="1050" 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 коэффициентов ряда Тейлора функции </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 0,k </f> <f family="Arial Cyr" charset="204" size="12">(x) (2) определяются из началь- ных (краевых) условий и путем дифференцирования исходного уравнения с исклю- чением старшей производной и подстановкой x=x</f> <f family="Arial Cyr" charset="204" size="12"> k </f> <f family="Arial Cyr" charset="204" size="12">как показано ниже</f> </text> </region> <region region-id="1438" left="90" top="1098.75" width="102" height="17.25" align-x="120.75" 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:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="17"/> </region> <region region-id="1439" left="216" top="1098.75" width="159" height="17.25" align-x="246.75" 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:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>3</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="18"/> </region> <region region-id="1453" left="492" top="1104.75" width="15.75" height="15.75" align-x="498.75" align-y="1116" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>4</ml:real> </ml:parens> </math> <rendering item-idref="19"/> </region> <region region-id="1442" left="96" top="1134.75" width="276.75" height="17.25" align-x="126.75" align-y="1146" 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">Z</ml:id> <ml:sequence> <ml:real>4</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f''</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P''</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="20"/> </region> <region region-id="1458" left="492" top="1134.75" width="15.75" height="15.75" align-x="498.75" align-y="1146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>5</ml:real> </ml:parens> </math> <rendering item-idref="21"/> </region> <region region-id="1800" left="108" top="1170" width="125.25" height="33" align-x="108" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{0002CE03-0000-0000-C000-000000000046}" type="embedded" item-idref="22"/> <rendering item-idref="23"/> </region> <region region-id="1801" left="30" top="1182.75" width="45" height="13.5" align-x="30" align-y="1194" 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">Причем:</f> </text> </region> <region region-id="1464" left="18" top="1218" width="485.25" height="36" align-x="18" align-y="1230" 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">Учитывая. что<sp count="2"/> </f> <region region-id="1462" left="102" top="1218.75" width="69.75" height="17.25" align-x="132" align-y="1230" 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:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="24"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> , Z</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> i,k </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">(x</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> k+1 </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">)=Z</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">i,k+1</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="3"/>и, подставляя в (2), (3) выражения</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> (4), (5), получим (для k=0..K-1):</inlineAttr> </f> </text> </region> <region region-id="1465" left="30" top="1266.75" width="174" height="17.25" align-x="72.75" align-y="1278" 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">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">B</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">C</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="25"/> </region> <region region-id="1495" left="222" top="1266.75" width="172.5" height="17.25" align-x="264.75" align-y="1278" 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">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">G</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="26"/> </region> <region region-id="1496" left="408" top="1266.75" width="68.25" height="15.75" align-x="441.75" align-y="1278" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:range xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">k</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">K</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> </math> <rendering item-idref="27"/> </region> <region region-id="1470" left="492" top="1266.75" width="15.75" height="15.75" align-x="498.75" align-y="1278" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>6</ml:real> </ml:parens> </math> <rendering item-idref="28"/> </region> <region region-id="1725" left="30" top="1288.5" width="423" height="79.5" align-x="30" align-y="1314" 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">Где:<sp count="2"/> </f> <region region-id="1726" left="58.5" top="1289.25" width="234" height="39" align-x="80.25" align-y="1314" 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">A</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P''</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="29"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>,<sp count="2"/> </inlineAttr> </f> <region region-id="1728" left="308.25" top="1289.25" width="135" height="39" align-x="328.5" align-y="1314" 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">B</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="30"/> </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="1729" left="30" top="1329" width="201.75" height="39" align-x="51" align-y="1353.75" 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:indexer/> <ml:id xml:space="preserve">C</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f''</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="31"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ,<sp count="2"/> </inlineAttr> </f> <region region-id="1731" left="244.5" top="1332.75" width="59.25" height="36.75" align-x="265.5" align-y="1353.75" 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:indexer/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:lambda> </ml:apply> </ml:apply> </math> <rendering item-idref="32"/> </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="1732" left="313.5" top="1332.75" width="56.25" height="36.75" align-x="333" align-y="1353.75" 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:indexer/> <ml:id xml:space="preserve">E</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">B</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:lambda> </ml:apply> </ml:apply> </math> <rendering item-idref="33"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12"> ,<sp count="2"/> </f> </inlineAttr> <region region-id="1733" left="382.5" top="1332.75" width="58.5" height="36.75" align-x="403.5" align-y="1353.75" 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:indexer/> <ml:id xml:space="preserve">G</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">C</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:lambda> </ml:apply> </ml:apply> </math> <rendering item-idref="34"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/> </inlineAttr> </f> </text> </region> <region region-id="1473" left="24" top="1410.75" width="491.25" height="54" align-x="24" 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">Здесь коэффициенты A, B, C, D, E, G известны и будут определяться таким образом ниже при решении конкретных задач. Формулы (6) далее будут использованы как рекуррентные при нахождении решения краевой задачи. Они представляют собой систему линейных алгебраических уравнений в виде 4-х диагональной матрицы. </f> </text> </region> <region region-id="1867" left="30" top="1494.75" width="492" height="13.5" align-x="30" align-y="1506" 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">Решать (6) можно методом Гаусса, последовательно исключая неизвестные переменные.</f> </text> </region> <region region-id="1859" left="30" top="1536.75" width="459.75" height="63" align-x="30" align-y="1548" 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">В первой паре уравнений (6)<sp count="2"/>известным будет Z</f> <f family="Arial Cyr" charset="204" size="12"> 0,0 </f> <f family="Arial Cyr" charset="204" size="12"> . Следовательно,<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">значения</f> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 0,1<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">и</f> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 1 </f> <f family="Arial Cyr" charset="204" size="12"> ,1 </f> <f family="Arial Cyr" charset="204" size="12">можно будет выразить через </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 1 </f> <f family="Arial Cyr" charset="204" size="12"> ,0 </f> <f family="Arial Cyr" charset="204" size="12">. Этот процесс исключения </f> <f family="Arial Cyr" charset="204" size="12">можно продолжить для второй и последующих пар и всякий раз выражать </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> i </f> <f family="Arial Cyr" charset="204" size="12"> ,k<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">через</f> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 1 </f> <f family="Arial Cyr" charset="204" size="12"> ,0 </f> <f family="Arial Cyr" charset="204" size="12">. Предположим это нам удалось сделать для<sp count="2"/>(k-1)-й пары<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">уравнений: </f> </text> </region> <region region-id="1474" left="54" top="1614" width="158.25" height="18" align-x="93.75" align-y="1626" 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">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="35"/> </region> <region region-id="1476" left="246" top="1614.75" width="42" height="15.75" align-x="276" align-y="1626" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:range xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">i</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:range> </math> <rendering item-idref="36"/> </region> <region region-id="1860" left="480" top="1614.75" width="15.75" height="15.75" align-x="486.75" align-y="1626" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>7</ml:real> </ml:parens> </math> <rendering item-idref="37"/> </region> <region region-id="1481" left="24" top="1649.25" width="483" height="114" align-x="24" align-y="1662" 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">Тогда, подставляя (7) в (6), получим: </f> <region region-id="1482" left="224.25" top="1650" width="122.25" height="18" align-x="252" align-y="1662" 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">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="38"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> . Сравнивая результат подстановки с последним выражением, получим рекуррентные формулы вычисления коэффициентов </inlineAttr> </f> <region region-id="1483" left="114.75" top="1682.25" width="24" height="16.5" align-x="126" align-y="1694.25" 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:id xml:space="preserve">α</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:sequence> </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"> (всё это справедливо для линейных </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">уравнений)</inlineAttr> </f> <region region-id="1572" left="24" top="1713" width="189.75" height="18" align-x="57" align-y="1725" 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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">B</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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </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"> ,<sp count="3"/> </inlineAttr> </f> <region region-id="1573" left="229.5" top="1713" width="226.5" height="18" align-x="261.75" align-y="1725" 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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">B</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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">C</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="41"/> </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="1574" left="24" top="1731.75" width="188.25" height="18" align-x="57" align-y="1743.75" 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:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">D</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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="42"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/>,<sp count="3"/> </f> </inlineAttr> <region region-id="1575" left="231" top="1731.75" width="225" height="18" align-x="263.25" align-y="1743.75" 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:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">D</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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">G</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="43"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12"> <sp count="3"/>(7a)</f> </inlineAttr> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">Ниже будет приведен алгоритм вычисления этих </f> </inlineAttr> <f family="Arial Cyr" charset="204" size="12">коэффициентов.</f> </text> </region> <region region-id="1354" left="24" top="1794.75" width="487.5" height="73.5" align-x="24" align-y="1812" 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">Приведем</f> <f family="Arial Cyr" charset="204" size="12"> пример </f> <f family="Arial Cyr" charset="204" size="12"> решения уравнения </f> <region region-id="49" left="241.5" top="1795.5" width="60.75" height="21" align-x="276" align-y="1812" 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:plus/> <ml:id xml:space="preserve">z''</ml:id> <ml:id xml:space="preserve">z</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="44"/> </region> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/>с граничными условиями: </f> <region region-id="54" left="450" top="1800.75" width="43.5" height="15.75" align-x="477.75" align-y="1812" 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">z</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:apply> </math> <rendering item-idref="45"/> </region> <f family="Arial Cyr" charset="204" size="12"> ,<sp count="2"/> </f> <region region-id="55" left="24" top="1817.25" width="53.25" height="34.5" align-x="61.5" align-y="1837.5" 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">z</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </math> <rendering item-idref="46"/> </region> <f family="Arial Cyr" charset="204" size="12"> <sp count="3"/>(другим примером может быть z'' + p(t)*z = f(t), где p(t)=t^2 или t, </f> <f family="Arial Cyr" charset="204" size="12">f(t)=sin(t)*e</f> <f family="Arial Cyr" charset="204" size="12">-t</f> <f family="Arial Cyr" charset="204" size="12">).</f> <f family="Arial Cyr" charset="204" size="12"> <sp count="3"/>Точное решение этого уравнения с учетом краевых условий есть:</f> </text> </region> <region region-id="1942" left="60" top="1902.75" width="36" height="17.25" align-x="79.5" align-y="1914" 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>0</ml:real> </ml:define> </math> <rendering item-idref="47"/> </region> <region region-id="1943" left="120" top="1893.75" width="37.5" height="34.5" align-x="135.75" align-y="1914" 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:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="48"/> </region> <region region-id="1944" left="180" top="1902.75" width="30.75" height="15.75" align-x="194.25" align-y="1914" 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">a</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="1945" left="234" top="1902.75" width="37.5" height="15.75" align-x="255" align-y="1914" 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">ak</ml:id> <ml:real>2</ml:real> </ml:define> </math> <rendering item-idref="50"/> </region> <region region-id="1946" left="312" top="1902.75" width="53.25" height="17.25" align-x="350.25" align-y="1914" 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">yt</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </math> <rendering item-idref="51"/> </region> <region region-id="1947" left="396" top="1902.75" width="54.75" height="15.75" align-x="429" align-y="1914" 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">yt</ml:id> <ml:id xml:space="preserve">b</ml:id> </ml:apply> <ml:id xml:space="preserve">ak</ml:id> </ml:apply> </math> <rendering item-idref="52"/> </region> <region region-id="1577" left="24" top="1953" width="234" height="47.25" align-x="54.75" align-y="1986" 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">yt</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:real>4</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="53"/> </region> <region region-id="1909" left="336" top="1974.75" width="60.75" height="17.25" align-x="374.25" align-y="1986" 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">yt</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="54"/> </region> <region region-id="1581" left="414" top="1974.75" width="55.5" height="15.75" align-x="447" align-y="1986" 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">yt</ml:id> <ml:id xml:space="preserve">b</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2</ml:real> </result> </ml:eval> </math> <rendering item-idref="55"/> </region> <region region-id="1872" left="30" top="2034" width="89.25" height="14.25" align-x="30" align-y="2046" 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"> Пусть заданы: </f> </text> </region> <region region-id="1869" left="198" top="2034.75" width="47.25" height="15.75" align-x="228.75" align-y="2046" 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">P</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="56"/> </region> <region region-id="1870" left="276" top="2029.5" width="60" height="21" align-x="306.75" align-y="2046" 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">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="57"/> </region> <region region-id="1878" left="24" top="2070.75" width="410.25" height="13.5" align-x="24" align-y="2082" 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">Метод припасовывания предполагает дифференцирование уравнения (2). </f> </text> </region> <region region-id="1884" left="186" top="2109.75" width="90" height="44.25" align-x="223.5" align-y="2136" 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">f</ml:id> <ml:boundVars> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <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">F</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:lambda> <ml:degree> <ml:id xml:space="preserve">j</ml:id> </ml:degree> </ml:apply> </ml:define> </math> <rendering item-idref="58"/> </region> <region region-id="1883" left="30" top="2184.75" width="435" height="13.5" align-x="30" align-y="2196" 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">Поэтому нам необходимо знать:</f> </text> </region> <region region-id="1249" left="36" top="2220.75" width="132.75" height="13.5" align-x="36" align-y="2232" 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">1) дискрет по "x":</f> </text> </region> <region region-id="1251" left="258" top="2220.75" width="61.5" height="15.75" align-x="285" align-y="2232" 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">KK</ml:id> <ml:real>1000</ml:real> </ml:define> </math> <rendering item-idref="59"/> </region> <region region-id="1252" left="342" top="2220.75" width="45" height="15.75" align-x="354.75" align-y="2232" 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:real>2</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="60"/> </region> <region region-id="1424" left="36" top="2259" width="59.25" height="35.25" align-x="51" align-y="2280" 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:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">b</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">KK</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="61"/> </region> <region region-id="1423" left="114" top="2263.5" width="100.5" height="21" align-x="127.5" align-y="2280" 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>0.0015707963267948967</ml:real> </result> </ml:eval> </math> <rendering item-idref="62"/> </region> <region region-id="1738" left="228" top="2268.75" width="60" height="15.75" align-x="243.75" align-y="2280" 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">KK</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="63"/> </region> <region region-id="1739" left="300" top="2268.75" width="70.5" height="17.25" align-x="319.5" align-y="2280" 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:id xml:space="preserve">k</ml:id> </ml:apply> <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">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="64"/> </region> <region region-id="1740" left="396" top="2253.75" width="93" height="44.25" align-x="436.5" align-y="2280" 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">p</ml:id> <ml:boundVars> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <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">P</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:lambda> <ml:degree> <ml:id xml:space="preserve">j</ml:id> </ml:degree> </ml:apply> </ml:define> </math> <rendering item-idref="65"/> </region> <region region-id="1948" left="30" top="2310.75" width="79.5" height="13.5" align-x="30" align-y="2322" 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">Из уравнений: </f> </text> </region> <region region-id="1950" left="126" top="2310.75" width="74.25" height="17.25" align-x="144" align-y="2322" 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>0</ml:real> </ml:apply> <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">k0</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="66"/> </region> <region region-id="1951" left="222" top="2310.75" width="71.25" height="17.25" align-x="236.25" align-y="2322" 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">b</ml:id> <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">kk</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="67"/> </region> <region region-id="1980" left="36" top="2358.75" width="45.75" height="13.5" align-x="36" align-y="2370" 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">находим</f> </text> </region> <region region-id="1979" left="102" top="2349" width="81.75" height="35.25" align-x="123.75" align-y="2370" 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">k0</ml:id> <ml:apply> <ml:id xml:space="preserve">floor</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="68"/> </region> <region region-id="1978" left="198" top="2358.75" width="42.75" height="15.75" align-x="218.25" align-y="2370" 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">k0</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="69"/> </region> <region region-id="1981" left="258" top="2349" width="102.75" height="35.25" align-x="280.5" align-y="2370" 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">kk</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">x</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="70"/> </region> <region region-id="1977" left="384" top="2358.75" width="55.5" height="15.75" align-x="405" align-y="2370" 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">kk</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>999</ml:real> </result> </ml:eval> </math> <rendering item-idref="71"/> </region> <region region-id="1976" left="438" top="2358.75" width="63.75" height="15.75" align-x="452.25" align-y="2370" 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>1.5707963267948966</ml:real> </result> </ml:eval> </math> <rendering item-idref="72"/> </region> <region region-id="1999" left="24" top="2394" width="467.25" height="41.25" align-x="24" align-y="2406" 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"> Примечание </f> <f family="Arial Cyr" charset="204" size="12">. Так как (b-x[0])/h=KK всегда, то kk=KK и далее вместо kk следует брать </f> <f family="Arial Cyr" charset="204" size="12">KK, хотя как было видно из-за приближенной арифметики kk может отличаться незначительно от<sp count="2"/>KK.</f> </text> </region> <region region-id="1969" left="24" top="2448.75" width="111" height="13.5" align-x="24" align-y="2460" 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">2) краевые условия:</f> </text> </region> <region region-id="1968" left="162" top="2448.75" width="54.75" height="17.25" align-x="201" align-y="2460" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k0</ml:id> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:define> </math> <rendering item-idref="73"/> </region> <region region-id="1967" left="240" top="2448.75" width="65.25" height="17.25" align-x="282.75" align-y="2460" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">ak</ml:id> </ml:define> </math> <rendering item-idref="74"/> </region> <region region-id="1983" left="348" top="2448.75" width="72.75" height="17.25" align-x="371.25" align-y="2460" 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:id xml:space="preserve">kk</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.5692255304681018</ml:real> </result> </ml:eval> </math> <rendering item-idref="75"/> </region> <region region-id="1875" left="30" top="2478.75" width="368.25" height="13.5" align-x="30" align-y="2490" 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">3)<sp count="2"/>дискретные значения функций, вычисленные в 3*(КК+1) - точках.</f> </text> </region> <region region-id="1295" left="42" top="2502.75" width="39" height="17.25" align-x="48.75" align-y="2514" 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">p</ml:id> <ml:sequence> <ml:id xml:space="preserve">j</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:sequence> </ml:apply> </math> <rendering item-idref="76"/> </region> <region region-id="1297" left="96" top="2502.75" width="36" height="17.25" align-x="99.75" align-y="2514" 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">f</ml:id> <ml:sequence> <ml:id xml:space="preserve">j</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:sequence> </ml:apply> </math> <rendering item-idref="77"/> </region> <region region-id="1300" left="30" top="2532.75" width="462" height="13.5" align-x="30" align-y="2544" 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">4)<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">дискретные значения коэффициентов, вычисленные в</f> <f family="Arial Cyr" charset="204" size="12"> (КК+1) - точках:</f> </text> </region> <region region-id="1275" left="24" top="2573.25" width="364.5" height="39" align-x="78.75" align-y="2598" 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">AA</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>0</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>1</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>2</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>0</ml:real> <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:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="78"/> </region> <region region-id="1277" left="396" top="2577" width="116.25" height="36.75" align-x="441.75" align-y="2598" 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">D</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">AA</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:define> </math> <rendering item-idref="79"/> </region> <region region-id="1278" left="18" top="2639.25" width="371.25" height="39" align-x="72" align-y="2664" 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">CC</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:sequence> <ml:real>0</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:sequence> <ml:real>1</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:sequence> <ml:real>2</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:sequence> <ml:real>0</ml:real> <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">p</ml:id> <ml:sequence> <ml:real>0</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="80"/> </region> <region region-id="1279" left="396" top="2643" width="123.75" height="36.75" align-x="450" align-y="2664" 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">GG</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">CC</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:define> </math> <rendering item-idref="81"/> </region> <region region-id="1280" left="18" top="2699.25" width="215.25" height="39" align-x="63" align-y="2724" 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">B</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>0</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>1</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="82"/> </region> <region region-id="1281" left="258" top="2703" width="105" height="36.75" align-x="302.25" align-y="2724" 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">E</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">B</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:define> </math> <rendering item-idref="83"/> </region> <region region-id="1366" left="18" top="2753.25" width="468.75" height="51" align-x="18" align-y="2766" 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">Зададим также для единообразия: </f> <region region-id="1303" left="210" top="2754" width="51" height="18" align-x="244.5" align-y="2766" 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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="84"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>, </inlineAttr> </f> <region region-id="1304" left="273.75" top="2754" width="51" height="18" align-x="308.25" align-y="2766" 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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="85"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ,<sp count="2"/> </inlineAttr> </f> <region region-id="1306" left="337.5" top="2754" width="49.5" height="18" align-x="371.25" align-y="2766" 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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:define> </math> <rendering item-idref="86"/> </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="1307" left="396.75" top="2754" width="50.25" height="18" align-x="430.5" align-y="2766" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="87"/> </region> <f family="Arial Cyr" charset="204" size="12">Т</f> <f family="Arial Cyr" charset="204" size="12">аким образом, получили:</f> <f family="Arial Cyr" charset="204"> <sp/> </f> <region region-id="1511" left="161.25" top="2772.75" width="134.25" height="18" align-x="193.5" align-y="2784.75" 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:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="88"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>,<sp count="2"/> </inlineAttr> </f> <region region-id="1512" left="311.25" top="2772.75" width="134.25" height="18" align-x="343.5" align-y="2784.75" 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:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="89"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ,<sp count="3"/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> <f family="Arial Cyr" charset="204" size="12">Теперь вычислим:</f> </text> </region> <region region-id="1365" left="36" top="2820" width="283.5" height="130.5" align-x="54" align-y="2832" 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">α</ml:id> <ml:program> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>1</ml:real> </ml:localDefine> <ml:for> <ml:id xml:space="preserve">k</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">KK</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> <ml:program> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">AA</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">B</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">D</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">E</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:localDefine> </ml:program> </ml:for> <ml:id xml:space="preserve">α</ml:id> </ml:program> </ml:define> </math> <rendering item-idref="90"/> </region> <region region-id="1695" left="36" top="3006" width="339" height="130.5" align-x="53.25" align-y="3018" 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">β</ml:id> <ml:program> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:localDefine> <ml:for> <ml:id xml:space="preserve">k</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">KK</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> <ml:program> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">AA</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">B</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">CC</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">D</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">E</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">GG</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:localDefine> </ml:program> </ml:for> <ml:id xml:space="preserve">β</ml:id> </ml:program> </ml:define> </math> <rendering item-idref="91"/> </region> <region region-id="1589" left="36" top="3156.75" width="373.5" height="13.5" align-x="36" align-y="3168" 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 визуальной проверки выведем на дисплей некоторые значения:</f> </text> </region> <region region-id="1764" left="36" top="3186" width="90.75" height="18" align-x="77.25" align-y="3198" 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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.60393978861178022</ml:real> </result> </ml:eval> </math> <rendering item-idref="92"/> </region> <region region-id="1763" left="126" top="3186" width="97.5" height="18" align-x="167.25" align-y="3198" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-0.6039397877543341</ml:real> </result> </ml:eval> </math> <rendering item-idref="93"/> </region> <region region-id="1761" left="252" top="3186" width="64.5" height="18" align-x="294" align-y="3198" 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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0000000000908043</ml:real> </result> </ml:eval> </math> <rendering item-idref="94"/> </region> <region region-id="1765" left="336" top="3181.5" width="128.25" height="22.5" align-x="378" align-y="3198" 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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.6129656402994195E-10</ml:real> </result> </ml:eval> </math> <rendering item-idref="95"/> </region> <region region-id="1876" left="24" top="3215.25" width="490.5" height="65.25" align-x="24" align-y="3228" 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">Заметим, что коэффициенты </f> <region region-id="1712" left="185.25" top="3216" width="54" height="18" align-x="210" align-y="3228" 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">α</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:sequence> </math> <rendering item-idref="96"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>, в данном примере не зависят от краевых (граничных) условий. Коэффициент </inlineAttr> </f> <region region-id="1713" left="218.25" top="3234.75" width="25.5" height="18" align-x="230.25" align-y="3246.75" 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:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </math> <rendering item-idref="97"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> , зависит от Y</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> 0,0 </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> таким образом: при </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">Y</f> <f family="Arial Cyr" charset="204" size="12">0,0</f> <f family="Arial Cyr" charset="204" size="12">=0</f> <region region-id="1715" left="24" top="3258" width="84" height="18" align-x="65.25" align-y="3270" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:real>0.3961</ml:real> </ml:apply> </math> <rendering item-idref="98"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">, при </f> </inlineAttr> <f family="Arial Cyr" charset="204" size="12">Y</f> <f family="Arial Cyr" charset="204" size="12">0,0</f> <f family="Arial Cyr" charset="204" size="12">=1 </f> <region region-id="1716" left="172.5" top="3258" width="103.5" height="18" align-x="213.75" align-y="3270" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:minus/> <ml:real>0.3961</ml:real> <ml:real>1</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="99"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ,<sp count="2"/>при </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">Y</f> <f family="Arial Cyr" charset="204" size="12">0,0</f> <f family="Arial Cyr" charset="204" size="12">=2<sp count="2"/> </f> <region region-id="1717" left="349.5" top="3258" width="103.5" height="18" align-x="390.75" align-y="3270" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:minus/> <ml:real>0.3961</ml:real> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="100"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> и<sp count="2"/>т. д.</inlineAttr> </f> </text> </region> <region region-id="1770" left="36" top="3300.75" width="183.75" height="13.5" align-x="36" align-y="3312" 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">Напомним граничные условия:</f> </text> </region> <region region-id="1769" left="234" top="3300.75" width="76.5" height="17.25" align-x="261" align-y="3312" 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:id xml:space="preserve">KK</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.5707963267948966</ml:real> </result> </ml:eval> </math> <rendering item-idref="101"/> </region> <region region-id="1768" left="318" top="3300.75" width="60" height="17.25" align-x="355.5" align-y="3312" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k0</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="102"/> </region> <region region-id="2003" left="396" top="3300.75" width="63.75" height="17.25" align-x="437.25" align-y="3312" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2</ml:real> </result> </ml:eval> </math> <rendering item-idref="103"/> </region> <region region-id="1993" left="30" top="3336.75" width="36.75" height="13.5" align-x="30" align-y="3348" 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">Здесь:</f> </text> </region> <region region-id="1992" left="102" top="3336.75" width="55.5" height="15.75" align-x="123" align-y="3348" 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">kk</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>999</ml:real> </result> </ml:eval> </math> <rendering item-idref="104"/> </region> <region region-id="1991" left="174" top="3331.5" width="77.25" height="21" align-x="199.5" align-y="3348" 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">KK</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1000</ml:real> </result> </ml:eval> </math> <rendering item-idref="105"/> </region> <region region-id="2001" left="276" top="3336.75" width="60" height="17.25" align-x="313.5" align-y="3348" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">kk</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="106"/> </region> <region region-id="1622" left="36" top="3372.75" width="295.5" height="16.5" align-x="36" align-y="3384" 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">Исходя из (7), если задана функция Y</f> <f family="Arial Cyr" charset="204" size="12"> 0,KK </f> <f family="Arial Cyr" charset="204" size="12">, </f> <f family="Arial Cyr" charset="204" size="12"> вычисляем:</f> </text> </region> <region region-id="1804" left="360" top="3362.25" width="128.25" height="38.25" align-x="393.75" align-y="3384" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="107"/> </region> <region region-id="1631" left="36" top="3415.5" width="425.25" height="48.75" align-x="36" align-y="3438" 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">Если же задана её производная Y</f> <f family="Arial Cyr" charset="204" size="12"> 1,KK </f> <f family="Arial Cyr" charset="204" size="12">, то вычисляем:<sp count="3"/> </f> <region region-id="1632" left="334.5" top="3416.25" width="126" height="38.25" align-x="366.75" align-y="3438" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="108"/> </region> </text> </region> <region region-id="1648" left="30" top="3480.75" width="94.5" height="13.5" align-x="30" align-y="3492" 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">Вычислим далее:</f> </text> </region> <region region-id="1649" left="138" top="3480.75" width="60" height="15.75" align-x="153.75" align-y="3492" 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">KK</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="109"/> </region> <region region-id="1650" left="210" top="3480" width="136.5" height="18" align-x="243.75" align-y="3492" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="110"/> </region> <region region-id="1651" left="360" top="3480" width="136.5" height="18" align-x="393.75" align-y="3492" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="111"/> </region> <region region-id="1647" left="30" top="3510.75" width="180.75" height="13.5" align-x="30" align-y="3522" 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">Выведем на дисплей значение:</f> </text> </region> <region region-id="1745" left="216" top="3510.75" width="97.5" height="17.25" align-x="257.25" align-y="3522" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-0.60393978738954834</ml:real> </result> </ml:eval> </math> <rendering item-idref="112"/> </region> <region region-id="1771" left="30" top="3540.75" width="474.75" height="27" align-x="30" align-y="3552" 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">Остальные компоненты представлены в виде разворачиваемой в электронной версии пособия матрицы Y.</f> </text> </region> <region region-id="1652" left="18" top="3611.25" width="407.25" height="39.75" align-x="33.75" align-y="3630" 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">Y</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="2" cols="1001"> <ml:real>1</ml:real> <ml:real>1.3960602112614515</ml:real> <ml:real>1.0021929247043186</ml:real> <ml:real>1.3960572558873</ml:real> <ml:real>1.0043858401255794</ml:real> <ml:real>1.3960483923522911</ml:real> <ml:real>1.006578736986318</ml:real> <ml:real>1.3960336245449576</ml:real> <ml:real>1.0087716060151841</ml:real> <ml:real>1.3960129563623334</ml:real> <ml:real>1.0109644379469567</ml:real> <ml:real>1.3959863917099495</ml:real> <ml:real>1.0131572235225554</ml:real> <ml:real>1.3959539345018373</ml:real> <ml:real>1.0153499534890553</ml:real> <ml:real>1.3959155886605263</ml:real> <ml:real>1.017542618599699</ml:real> <ml:real>1.395871358117045</ml:real> <ml:real>1.0197352096139112</ml:real> <ml:real>1.3958212468109204</ml:real> <ml:real>1.0219277172973109</ml:real> <ml:real>1.3957652586901772</ml:real> <ml:real>1.0241201324217257</ml:real> <ml:real>1.3957033977113387</ml:real> <ml:real>1.0263124457652051</ml:real> <ml:real>1.3956356678394248</ml:real> <ml:real>1.0285046481120324</ml:real> <ml:real>1.395562073047953</ml:real> <ml:real>1.0306967302527403</ml:real> <ml:real>1.3954826173189376</ml:real> <ml:real>1.0328886829841226</ml:real> <ml:real>1.3953973046428891</ml:real> <ml:real>1.035080497109248</ml:real> <ml:real>1.395306139018814</ml:real> <ml:real>1.0372721634374738</ml:real> <ml:real>1.3952091244542137</ml:real> <ml:real>1.0394636727844584</ml:real> <ml:real>1.3951062649650845</ml:real> <ml:real>1.041655015972176</ml:real> <ml:real>1.3949975645759163</ml:real> <ml:real>1.0438461838289286</ml:real> <ml:real>1.3948830273196937</ml:real> <ml:real>1.0460371671893596</ml:real> <ml:real>1.3947626572378928</ml:real> <ml:real>1.0482279568944677</ml:real> <ml:real>1.3946364583804829</ml:real> <ml:real>1.0504185437916205</ml:real> <ml:real>1.3945044348059237</ml:real> <ml:real>1.0526089187345662</ml:real> <ml:real>1.3943665905811664</ml:real> <ml:real>1.0547990725834489</ml:real> <ml:real>1.3942229297816522</ml:real> <ml:real>1.0569889962048205</ml:real> <ml:real>1.39407345649131</ml:real> <ml:real>1.0591786804716552</ml:real> <ml:real>1.3939181748025578</ml:real> <ml:real>1.0613681162633615</ml:real> <ml:real>1.3937570888163009</ml:real> <ml:real>1.0635572944657967</ml:real> <ml:real>1.3935902026419305</ml:real> <ml:real>1.06574620597128</ml:real> <ml:real>1.3934175203973231</ml:real> <ml:real>1.0679348416786045</ml:real> <ml:real>1.3932390462088395</ml:real> <ml:real>1.0701231924930534</ml:real> <ml:real>1.3930547842113241</ml:real> <ml:real>1.0723112493264098</ml:real> <ml:real>1.3928647385481026</ml:real> <ml:real>1.074499003096973</ml:real> <ml:real>1.3926689133709824</ml:real> <ml:real>1.0766864447295699</ml:real> <ml:real>1.3924673128402507</ml:real> <ml:real>1.0788735651555694</ml:real> <ml:real>1.392259941124673</ml:real> <ml:real>1.0810603553128955</ml:real> <ml:real>1.3920468024014925</ml:real> <ml:real>1.0832468061460399</ml:real> <ml:real>1.3918279008564285</ml:real> <ml:real>1.0854329086060759</ml:real> <ml:real>1.3916032406836749</ml:real> <ml:real>1.0876186536506725</ml:real> <ml:real>1.3913728260859</ml:real> <ml:real>1.0898040322441061</ml:real> <ml:real>1.3911366612742431</ml:real> <ml:real>1.0919890353572745</ml:real> <ml:real>1.3908947504683151</ml:real> <ml:real>1.0941736539677112</ml:real> <ml:real>1.3906470978961962</ml:real> <ml:real>1.0963578790595967</ml:real> <ml:real>1.3903937077944337</ml:real> <ml:real>1.0985417016237737</ml:real> <ml:real>1.3901345844080419</ml:real> <ml:real>1.1007251126577593</ml:real> <ml:real>1.3898697319905002</ml:real> <ml:real>1.1029081031657588</ml:real> <ml:real>1.3895991548037505</ml:real> <ml:real>1.1050906641586784</ml:real> <ml:real>1.3893228571181964</ml:real> <ml:real>1.107272786654139</ml:real> <ml:real>1.3890408432127022</ml:real> <ml:real>1.1094544616764896</ml:real> <ml:real>1.3887531173745897</ml:real> <ml:real>1.1116356802568201</ml:real> <ml:real>1.3884596838996375</ml:real> <ml:real>1.1138164334329754</ml:real> <ml:real>1.3881605470920788</ml:real> <ml:real>1.1159967122495671</ml:real> <ml:real>1.3878557112646008</ml:real> <ml:real>1.1181765077579886</ml:real> <ml:real>1.387545180738341</ml:real> <ml:real>1.1203558110164271</ml:real> <ml:real>1.3872289598428862</ml:real> <ml:real>1.1225346130898779</ml:real> <ml:real>1.3869070529162708</ml:real> <ml:real>1.1247129050501565</ml:real> <ml:real>1.3865794643049754</ml:real> <ml:real>1.1268906779759129</ml:real> <ml:real>1.3862461983639232</ml:real> <ml:real>1.1290679229526441</ml:real> <ml:real>1.3859072594564799</ml:real> <ml:real>1.131244631072708</ml:real> <ml:real>1.3855626519544495</ml:real> <ml:real>1.133420793435336</ml:real> <ml:real>1.3852123802380749</ml:real> <ml:real>1.1355964011466466</ml:real> <ml:real>1.3848564486960338</ml:real> <ml:real>1.1377714453196592</ml:real> <ml:real>1.3844948617254367</ml:real> <ml:real>1.1399459170743065</ml:real> <ml:real>1.3841276237318259</ml:real> <ml:real>1.1421198075374472</ml:real> <ml:real>1.3837547391291725</ml:real> <ml:real>1.1442931078428815</ml:real> <ml:real>1.3833762123398736</ml:real> <ml:real>1.146465809131362</ml:real> <ml:real>1.3829920477947517</ml:real> <ml:real>1.1486379025506079</ml:real> <ml:real>1.3826022499330504</ml:real> <ml:real>1.1508093792553185</ml:real> <ml:real>1.3822068232024336</ml:real> <ml:real>1.1529802304071857</ml:real> <ml:real>1.3818057720589829</ml:real> <ml:real>1.1551504471749077</ml:real> <ml:real>1.3813991009671938</ml:real> <ml:real>1.1573200207342025</ml:real> <ml:real>1.3809868143999753</ml:real> <ml:real>1.1594889422678203</ml:real> <ml:real>1.3805689168386461</ml:real> <ml:real>1.1616572029655574</ml:real> <ml:real>1.3801454127729322</ml:real> <ml:real>1.163824794024269</ml:real> <ml:real>1.379716306700965</ml:real> <ml:real>1.1659917066478824</ml:real> <ml:real>1.3792816031292783</ml:real> <ml:real>1.1681579320474105</ml:real> <ml:real>1.3788413065728051</ml:real> <ml:real>1.1703234614409648</ml:real> <ml:real>1.3783954215548764</ml:real> <ml:real>1.1724882860537689</ml:real> <ml:real>1.3779439526072173</ml:real> <ml:real>1.1746523971181713</ml:real> <ml:real>1.3774869042699443</ml:real> <ml:real>1.1768157858736583</ml:real> <ml:real>1.3770242810915632</ml:real> <ml:real>1.1789784435668682</ml:real> <ml:real>1.3765560876289664</ml:real> <ml:real>1.1811403614516032</ml:real> <ml:real>1.3760823284474293</ml:real> <ml:real>1.1833015307888433</ml:real> <ml:real>1.3756030081206081</ml:real> <ml:real>1.1854619428467599</ml:real> <ml:real>1.3751181312305358</ml:real> <ml:real>1.187621588900728</ml:real> <ml:real>1.3746277023676217</ml:real> <ml:real>1.1897804602333397</ml:real> <ml:real>1.3741317261306456</ml:real> <ml:real>1.1919385481344176</ml:real> <ml:real>1.373630207126757</ml:real> <ml:real>1.1940958439010276</ml:real> <ml:real>1.3731231499714702</ml:real> <ml:real>1.1962523388374926</ml:real> <ml:real>1.3726105592886635</ml:real> <ml:real>1.1984080242554047</ml:real> <ml:real>1.3720924397105738</ml:real> <ml:real>1.2005628914736395</ml:real> <ml:real>1.3715687958777953</ml:real> <ml:real>1.2027169318183677</ml:real> <ml:real>1.3710396324392749</ml:real> <ml:real>1.2048701366230696</ml:real> <ml:real>1.3705049540523102</ml:real> <ml:real>1.2070224972285484</ml:real> <ml:real>1.3699647653825458</ml:real> <ml:real>1.2091740049829411</ml:real> <ml:real>1.3694190711039693</ml:real> <ml:real>1.2113246512417348</ml:real> <ml:real>1.36886787589891</ml:real> <ml:real>1.2134744273677769</ml:real> <ml:real>1.3683111844580331</ml:real> <ml:real>1.2156233247312898</ml:real> <ml:real>1.367749001480338</ml:real> <ml:real>1.217771334709884</ml:real> <ml:real>1.3671813316731549</ml:real> <ml:real>1.2199184486885701</ml:real> <ml:real>1.3666081797521406</ml:real> <ml:real>1.2220646580597734</ml:real> <ml:real>1.3660295504412749</ml:real> <ml:real>1.2242099542233451</ml:real> <ml:real>1.3654454484728582</ml:real> <ml:real>1.2263543285865775</ml:real> <ml:real>1.3648558785875073</ml:real> <ml:real>1.2284977725642152</ml:real> <ml:real>1.3642608455341516</ml:real> <ml:real>1.2306402775784693</ml:real> <ml:real>1.3636603540700305</ml:real> <ml:real>1.23278183505903</ml:real> <ml:real>1.3630544089606882</ml:real> <ml:real>1.23492243644308</ml:real> <ml:real>1.3624430149799718</ml:real> <ml:real>1.2370620731753064</ml:real> <ml:real>1.3618261769100264</ml:real> <ml:real>1.2392007367079154</ml:real> <ml:real>1.3612038995412912</ml:real> <ml:real>1.2413384185006444</ml:real> <ml:real>1.3605761876724971</ml:real> <ml:real>1.2434751100207748</ml:real> <ml:real>1.3599430461106623</ml:real> <ml:real>1.2456108027431456</ml:real> <ml:real>1.3593044796710874</ml:real> <ml:real>1.2477454881501662</ml:real> <ml:real>1.3586604931773525</ml:real> <ml:real>1.2498791577318293</ml:real> <ml:real>1.3580110914613139</ml:real> <ml:real>1.2520118029857237</ml:real> <ml:real>1.3573562793630991</ml:real> <ml:real>1.2541434154170481</ml:real> <ml:real>1.3566960617311035</ml:real> <ml:real>1.256273986538623</ml:real> <ml:real>1.3560304434219854</ml:real> <ml:real>1.2584035078709046</ml:real> <ml:real>1.3553594293006637</ml:real> <ml:real>1.2605319709419973</ml:real> <ml:real>1.3546830242403127</ml:real> <ml:real>1.2626593672876665</ml:real> <ml:real>1.3540012331223579</ml:real> <ml:real>1.2647856884513518</ml:real> <ml:real>1.3533140608364722</ml:real> <ml:real>1.2669109259841804</ml:real> <ml:real>1.352621512280572</ml:real> <ml:real>1.2690350714449794</ml:real> <ml:real>1.3519235923608128</ml:real> <ml:real>1.2711581164002883</ml:real> <ml:real>1.3512203059915846</ml:real> <ml:real>1.2732800524243737</ml:real> <ml:real>1.3505116580955081</ml:real> <ml:real>1.2754008710992402</ml:real> <ml:real>1.3497976536034306</ml:real> <ml:real>1.2775205640146445</ml:real> <ml:real>1.3490782974544213</ml:real> <ml:real>1.2796391227681085</ml:real> <ml:real>1.348353594595767</ml:real> <ml:real>1.2817565389649308</ml:real> <ml:real>1.3476235499829674</ml:real> <ml:real>1.2838728042182015</ml:real> <ml:real>1.3468881685797316</ml:real> <ml:real>1.2859879101488132</ml:real> <ml:real>1.3461474553579731</ml:real> <ml:real>1.2881018483854754</ml:real> <ml:real>1.3454014152978049</ml:real> <ml:real>1.2902146105647265</ml:real> <ml:real>1.3446500533875361</ml:real> <ml:real>1.2923261883309474</ml:real> <ml:real>1.3438933746236659</ml:real> <ml:real>1.2944365733363734</ml:real> <ml:real>1.34313138401088</ml:real> <ml:real>1.2965457572411077</ml:real> <ml:real>1.3423640865620468</ml:real> <ml:real>1.2986537317131344</ml:real> <ml:real>1.3415914872982104</ml:real> <ml:real>1.3007604884283306</ml:real> <ml:real>1.3408135912485881</ml:real> <ml:real>1.30286601907048</ml:real> <ml:real>1.3400304034505643</ml:real> <ml:real>1.3049703153312853</ml:real> <ml:real>1.3392419289496873</ml:real> <ml:real>1.3070733689103813</ml:real> <ml:real>1.3384481727996629</ml:real> <ml:real>1.3091751715153475</ml:real> <ml:real>1.33764914006235</ml:real> <ml:real>1.3112757148617207</ml:real> <ml:real>1.3368448358077567</ml:real> <ml:real>1.3133749906730081</ml:real> <ml:real>1.336035265114035</ml:real> <ml:real>1.3154729906807003</ml:real> <ml:real>1.3352204330674748</ml:real> <ml:real>1.3175697066242842</ml:real> <ml:real>1.3344003447625006</ml:real> <ml:real>1.3196651302512539</ml:real> <ml:real>1.3335750053016651</ml:real> <ml:real>1.3217592533171265</ml:real> <ml:real>1.332744419795646</ml:real> <ml:real>1.3238520675854528</ml:real> <ml:real>1.3319085933632389</ml:real> <ml:real>1.3259435648278304</ml:real> <ml:real>1.3310675311313533</ml:real> <ml:real>1.3280337368239163</ml:real> <ml:real>1.3302212382350085</ml:real> <ml:real>1.3301225753614407</ml:real> <ml:real>1.3293697198173258</ml:real> <ml:real>1.3322100722362185</ml:real> <ml:real>1.3285129810295264</ml:real> <ml:real>1.3342962192521624</ml:real> <ml:real>1.3276510270309241</ml:real> <ml:real>1.3363810082212961</ml:real> <ml:real>1.326783862988921</ml:real> <ml:real>1.3384644309637663</ml:real> <ml:real>1.3259114940790013</ml:real> <ml:real>1.3405464793078554</ml:real> <ml:real>1.3250339254847281</ml:real> <ml:real>1.3426271450899949</ml:real> <ml:real>1.3241511623977358</ml:real> <ml:real>1.3447064201547776</ml:real> <ml:real>1.3232632100177255</ml:real> <ml:real>1.34678429635497</ml:real> <ml:real>1.3223700735524608</ml:real> <ml:real>1.3488607655515259</ml:real> <ml:real>1.3214717582177602</ml:real> <ml:real>1.3509358196135977</ml:real> <ml:real>1.3205682692374943</ml:real> <ml:real>1.3530094504185497</ml:real> <ml:real>1.3196596118435771</ml:real> <ml:real>1.3550816498519716</ml:real> <ml:real>1.3187457912759641</ml:real> <ml:real>1.35715240980769</ml:real> <ml:real>1.3178268127826436</ml:real> <ml:real>1.3592217221877805</ml:real> <ml:real>1.3169026816196334</ml:real> <ml:real>1.3612895789025821</ml:real> <ml:real>1.3159734030509742</ml:real> <ml:real>1.3633559718707087</ml:real> <ml:real>1.3150389823487234</ml:real> <ml:real>1.3654208930190617</ml:real> <ml:real>1.3140994247929507</ml:real> <ml:real>1.3674843342828422</ml:real> <ml:real>1.3131547356717319</ml:real> <ml:real>1.3695462876055649</ml:real> <ml:real>1.3122049202811432</ml:real> <ml:real>1.3716067449390694</ml:real> <ml:real>1.3112499839252549</ml:real> <ml:real>1.3736656982435331</ml:real> <ml:real>1.3102899319161259</ml:real> <ml:real>1.375723139487484</ml:real> <ml:real>1.3093247695737993</ml:real> <ml:real>1.3777790606478133</ml:real> <ml:real>1.3083545022262939</ml:real> <ml:real>1.3798334537097876</ml:real> <ml:real>1.3073791352096009</ml:real> <ml:real>1.3818863106670607</ml:real> <ml:real>1.3063986738676763</ml:real> <ml:real>1.3839376235216883</ml:real> <ml:real>1.3054131235524349</ml:real> <ml:real>1.3859873842841377</ml:real> <ml:real>1.3044224896237462</ml:real> <ml:real>1.388035584973303</ml:real> <ml:real>1.3034267774494264</ml:real> <ml:real>1.3900822176165153</ml:real> <ml:real>1.3024259924052331</ml:real> <ml:real>1.3921272742495567</ml:real> <ml:real>1.3014201398748595</ml:real> <ml:real>1.394170746916672</ml:real> <ml:real>1.300409225249928</ml:real> <ml:real>1.3962126276705815</ml:real> <ml:real>1.2993932539299837</ml:real> <ml:real>1.3982529085724931</ml:real> <ml:real>1.2983722313224895</ml:real> <ml:real>1.4002915816921153</ml:real> <ml:real>1.2973461628428182</ml:real> <ml:real>1.4023286391076688</ml:real> <ml:real>1.2963150539142478</ml:real> <ml:real>1.4043640729058997</ml:real> <ml:real>1.2952789099679547</ml:real> <ml:real>1.4063978751820914</ml:real> <ml:real>1.2942377364430064</ml:real> <ml:real>1.4084300380400772</ml:real> <ml:real>1.2931915387863575</ml:real> <ml:real>1.4104605535922528</ml:real> <ml:real>1.2921403224528407</ml:real> <ml:real>1.4124894139595883</ml:real> <ml:real>1.2910840929051628</ml:real> <ml:real>1.4145166112716405</ml:real> <ml:real>1.2900228556138971</ml:real> <ml:real>1.4165421376665663</ml:real> <ml:real>1.2889566160574759</ml:real> <ml:real>1.4185659852911341</ml:real> <ml:real>1.2878853797221863</ml:real> <ml:real>1.4205881463007355</ml:real> <ml:real>1.2868091521021632</ml:real> <ml:real>1.4226086128593993</ml:real> <ml:real>1.285727938699381</ml:real> <ml:real>1.4246273771398026</ml:real> <ml:real>1.2846417450236487</ml:real> <ml:real>1.4266444313232831</ml:real> <ml:real>1.2835505765926034</ml:real> <ml:real>1.4286597675998527</ml:real> <ml:real>1.2824544389317021</ml:real> <ml:real>1.4306733781682077</ml:real> <ml:real>1.2813533375742172</ml:real> <ml:real>1.432685255235743</ml:real> <ml:real>1.2802472780612288</ml:real> <ml:real>1.4346953910185631</ml:real> <ml:real>1.2791362659416168</ml:real> <ml:real>1.4367037777414948</ml:real> <ml:real>1.2780203067720561</ml:real> <ml:real>1.4387104076380997</ml:real> <ml:real>1.2768994061170094</ml:real> <ml:real>1.4407152729506856</ml:real> <ml:real>1.2757735695487196</ml:real> <ml:real>1.4427183659303202</ml:real> <ml:real>1.2746428026472034</ml:real> <ml:real>1.4447196788368411</ml:real> <ml:real>1.2735071110002445</ml:real> <ml:real>1.4467192039388706</ml:real> <ml:real>1.272366500203387</ml:real> <ml:real>1.4487169335138255</ml:real> <ml:real>1.2712209758599282</ml:real> <ml:real>1.4507128598479309</ml:real> <ml:real>1.2700705435809114</ml:real> <ml:real>1.4527069752362316</ml:real> <ml:real>1.268915208985119</ml:real> <ml:real>1.4546992719826046</ml:real> <ml:real>1.267754977699066</ml:real> <ml:real>1.4566897423997707</ml:real> <ml:real>1.2665898553569925</ml:real> <ml:real>1.4586783788093072</ml:real> <ml:real>1.2654198476008574</ml:real> <ml:real>1.4606651735416603</ml:real> <ml:real>1.2642449600803292</ml:real> <ml:real>1.4626501189361556</ml:real> <ml:real>1.2630651984527819</ml:real> <ml:real>1.4646332073410129</ml:real> <ml:real>1.2618805683832854</ml:real> <ml:real>1.4666144311133549</ml:real> <ml:real>1.2606910755446</ml:real> <ml:real>1.4685937826192226</ml:real> <ml:real>1.259496725617167</ml:real> <ml:real>1.4705712542335852</ml:real> <ml:real>1.2582975242891048</ml:real> <ml:real>1.4725468383403528</ml:real> <ml:real>1.2570934772561977</ml:real> <ml:real>1.4745205273323887</ml:real> <ml:real>1.2558845902218925</ml:real> <ml:real>1.4764923136115207</ml:real> <ml:real>1.2546708688972872</ml:real> <ml:real>1.4784621895885539</ml:real> <ml:real>1.253452319001128</ml:real> <ml:real>1.4804301476832822</ml:real> <ml:real>1.2522289462597975</ml:real> <ml:real>1.4823961803245012</ml:real> <ml:real>1.2510007564073109</ml:real> <ml:real>1.4843602799500182</ml:real> <ml:real>1.2497677551853066</ml:real> <ml:real>1.4863224390066665</ml:real> <ml:real>1.248529948343039</ml:real> <ml:real>1.4882826499503155</ml:real> <ml:real>1.2472873416373707</ml:real> <ml:real>1.490240905245884</ml:real> <ml:real>1.2460399408327665</ml:real> <ml:real>1.4921971973673516</ml:real> <ml:real>1.2447877517012842</ml:real> <ml:real>1.49415151879777</ml:real> <ml:real>1.2435307800225675</ml:real> <ml:real>1.4961038620292761</ml:real> <ml:real>1.2422690315838385</ml:real> <ml:real>1.498054219563103</ml:real> <ml:real>1.2410025121798902</ml:real> <ml:real>1.5000025839095923</ml:real> <ml:real>1.2397312276130785</ml:real> <ml:real>1.5019489475882053</ml:real> <ml:real>1.2384551836933146</ml:real> <ml:real>1.5038933031275366</ml:real> <ml:real>1.2371743862380569</ml:real> <ml:real>1.5058356430653235</ml:real> <ml:real>1.2358888410723041</ml:real> <ml:real>1.50777595994846</ml:real> <ml:real>1.2345985540285867</ml:real> <ml:real>1.5097142463330073</ml:real> <ml:real>1.2333035309469598</ml:real> <ml:real>1.511650494784206</ml:real> <ml:real>1.2320037776749937</ml:real> <ml:real>1.5135846978764884</ml:real> <ml:real>1.2306993000677684</ml:real> <ml:real>1.5155168481934891</ml:real> <ml:real>1.2293901039878639</ml:real> <ml:real>1.517446938328058</ml:real> <ml:real>1.2280761953053521</ml:real> <ml:real>1.5193749608822715</ml:real> <ml:real>1.2267575798977908</ml:real> <ml:real>1.5213009084674447</ml:real> <ml:real>1.2254342636502134</ml:real> <ml:real>1.523224773704142</ml:real> <ml:real>1.2241062524551223</ml:real> <ml:real>1.5251465492221898</ml:real> <ml:real>1.2227735522124803</ml:real> <ml:real>1.5270662276606888</ml:real> <ml:real>1.2214361688297031</ml:real> <ml:real>1.5289838016680235</ml:real> <ml:real>1.2200941082216499</ml:real> <ml:real>1.5308992639018761</ml:real> <ml:real>1.2187473763106163</ml:real> <ml:real>1.5328126070292374</ml:real> <ml:real>1.2173959790263265</ml:real> <ml:real>1.5347238237264185</ml:real> <ml:real>1.2160399223059242</ml:real> <ml:real>1.5366329066790616</ml:real> <ml:real>1.2146792120939642</ml:real> <ml:real>1.5385398485821533</ml:real> <ml:real>1.2133138543424051</ml:real> <ml:real>1.5404446421400351</ml:real> <ml:real>1.211943855010601</ml:real> <ml:real>1.5423472800664149</ml:real> <ml:real>1.2105692200652918</ml:real> <ml:real>1.5442477550843792</ml:real> <ml:real>1.2091899554805961</ml:real> <ml:real>1.5461460599264041</ml:real> <ml:real>1.2078060672380031</ml:real> <ml:real>1.5480421873343679</ml:real> <ml:real>1.2064175613263624</ml:real> <ml:real>1.5499361300595611</ml:real> <ml:real>1.205024443741878</ml:real> <ml:real>1.5518278808626995</ml:real> <ml:real>1.2036267204880982</ml:real> <ml:real>1.5537174325139338</ml:real> <ml:real>1.2022243975759079</ml:real> <ml:real>1.5556047777928646</ml:real> <ml:real>1.2008174810235188</ml:real> <ml:real>1.5574899094885488</ml:real> <ml:real>1.1994059768564624</ml:real> <ml:real>1.5593728203995161</ml:real> <ml:real>1.1979898911075817</ml:real> <ml:real>1.5612535033337776</ml:real> <ml:real>1.19656922981702</ml:real> <ml:real>1.5631319511088377</ml:real> <ml:real>1.1951439990322159</ml:real> <ml:real>1.565008156551706</ml:real> <ml:real>1.1937142048078913</ml:real> <ml:real>1.566882112498909</ml:real> <ml:real>1.192279853206045</ml:real> <ml:real>1.5687538117965003</ml:real> <ml:real>1.1908409502959432</ml:real> <ml:real>1.5706232473000732</ml:real> <ml:real>1.18939750215411</ml:real> <ml:real>1.5724904118747718</ml:real> <ml:real>1.1879495148643207</ml:real> <ml:real>1.574355298395302</ml:real> <ml:real>1.1864969945175903</ml:real> <ml:real>1.5762178997459433</ml:real> <ml:real>1.1850399472121675</ml:real> <ml:real>1.5780782088205596</ml:real> <ml:real>1.1835783790535235</ml:real> <ml:real>1.5799362185226111</ml:real> <ml:real>1.1821122961543444</ml:real> <ml:real>1.5817919217651664</ml:real> <ml:real>1.1806417046345221</ml:real> <ml:real>1.5836453114709115</ml:real> <ml:real>1.1791666106211454</ml:real> <ml:real>1.5854963805721625</ml:real> <ml:real>1.1776870202484904</ml:real> <ml:real>1.5873451220108779</ml:real> <ml:real>1.1762029396580123</ml:real> <ml:real>1.589191528738668</ml:real> <ml:real>1.1747143749983364</ml:real> <ml:real>1.5910355937168075</ml:real> <ml:real>1.1732213324252485</ml:real> <ml:real>1.5928773099162452</ml:real> <ml:real>1.1717238181016865</ml:real> <ml:real>1.5947166703176179</ml:real> <ml:real>1.1702218381977303</ml:real> <ml:real>1.596553667911258</ml:real> <ml:real>1.1687153988905936</ml:real> <ml:real>1.5983882956972082</ml:real> <ml:real>1.167204506364615</ml:real> <ml:real>1.6002205466852302</ml:real> <ml:real>1.1656891668112477</ml:real> <ml:real>1.6020504138948175</ml:real> <ml:real>1.1641693864290512</ml:real> <ml:real>1.6038778903552051</ml:real> <ml:real>1.1626451714236816</ml:real> <ml:real>1.6057029691053819</ml:real> <ml:real>1.1611165280078826</ml:real> <ml:real>1.607525643194101</ml:real> <ml:real>1.1595834624014767</ml:real> <ml:real>1.6093459056798918</ml:real> <ml:real>1.1580459808313541</ml:real> <ml:real>1.6111637496310693</ml:real> <ml:real>1.156504089531466</ml:real> <ml:real>1.6129791681257475</ml:real> <ml:real>1.1549577947428129</ml:real> <ml:real>1.6147921542518482</ml:real> <ml:real>1.1534071027134365</ml:real> <ml:real>1.616602701107114</ml:real> <ml:real>1.1518520196984101</ml:real> <ml:real>1.6184108017991179</ml:real> <ml:real>1.1502925519598286</ml:real> <ml:real>1.6202164494452749</ml:real> <ml:real>1.1487287057668003</ml:real> <ml:real>1.6220196371728535</ml:real> <ml:real>1.1471604873954358</ml:real> <ml:real>1.6238203581189858</ml:real> <ml:real>1.1455879031288387</ml:real> <ml:real>1.6256186054306789</ml:real> <ml:real>1.1440109592570984</ml:real> <ml:real>1.6274143722648258</ml:real> <ml:real>1.1424296620772769</ml:real> <ml:real>1.6292076517882164</ml:real> <ml:real>1.1408440178934021</ml:real> <ml:real>1.6309984371775483</ml:real> <ml:real>1.1392540330164565</ml:real> <ml:real>1.6327867216194383</ml:real> <ml:real>1.137659713764368</ml:real> <ml:real>1.6345724983104319</ml:real> <ml:real>1.1360610664620017</ml:real> <ml:real>1.6363557604570165</ml:real> <ml:real>1.1344580974411471</ml:real> <ml:real>1.6381365012756293</ml:real> <ml:real>1.1328508130405111</ml:real> <ml:real>1.6399147139926709</ml:real> <ml:real>1.1312392196057066</ml:real> <ml:real>1.6416903918445147</ml:real> <ml:real>1.1296233234892441</ml:real> <ml:real>1.6434635280775178</ml:real> <ml:real>1.1280031310505212</ml:real> <ml:real>1.6452341159480319</ml:real> <ml:real>1.1263786486558116</ml:real> <ml:real>1.6470021487224149</ml:real> <ml:real>1.1247498826782576</ml:real> <ml:real>1.6487676196770402</ml:real> <ml:real>1.1231168394978586</ml:real> <ml:real>1.6505305220983089</ml:real> <ml:real>1.1214795255014611</ml:real> <ml:real>1.6522908492826591</ml:real> <ml:real>1.1198379470827498</ml:real> <ml:real>1.6540485945365784</ml:real> <ml:real>1.1181921106422366</ml:real> <ml:real>1.6558037511766131</ml:real> <ml:real>1.1165420225872511</ml:real> <ml:real>1.6575563125293795</ml:real> <ml:real>1.1148876893319311</ml:real> <ml:real>1.6593062719315745</ml:real> <ml:real>1.1132291172972109</ml:real> <ml:real>1.6610536227299866</ml:real> <ml:real>1.1115663129108133</ml:real> <ml:real>1.6627983582815062</ml:real> <ml:real>1.1098992826072383</ml:real> <ml:real>1.664540471953136</ml:real> <ml:real>1.1082280328277527</ml:real> <ml:real>1.6662799571220022</ml:real> <ml:real>1.1065525700203813</ml:real> <ml:real>1.6680168071753649</ml:real> <ml:real>1.1048729006398943</ml:real> <ml:real>1.6697510155106281</ml:real> <ml:real>1.1031890311478008</ml:real> <ml:real>1.6714825755353515</ml:real> <ml:real>1.1015009680123347</ml:real> <ml:real>1.67321148066726</ml:real> <ml:real>1.0998087177084472</ml:real> <ml:real>1.6749377243342543</ml:real> <ml:real>1.0981122867177948</ml:real> <ml:real>1.6766612999744224</ml:real> <ml:real>1.0964116815287304</ml:real> <ml:real>1.678382201036049</ml:real> <ml:real>1.0947069086362913</ml:real> <ml:real>1.6801004209776265</ml:real> <ml:real>1.0929979745421909</ml:real> <ml:real>1.6818159532678654</ml:real> <ml:real>1.091284885754807</ml:real> <ml:real>1.6835287913857044</ml:real> <ml:real>1.089567648789171</ml:real> <ml:real>1.6852389288203225</ml:real> <ml:real>1.0878462701669585</ml:real> <ml:real>1.6869463590711464</ml:real> <ml:real>1.0861207564164788</ml:real> <ml:real>1.6886510756478637</ml:real> <ml:real>1.0843911140726636</ml:real> <ml:real>1.6903530720704323</ml:real> <ml:real>1.0826573496770575</ml:real> <ml:real>1.6920523418690898</ml:real> <ml:real>1.080919469777806</ml:real> <ml:real>1.693748878584366</ml:real> <ml:real>1.0791774809296468</ml:real> <ml:real>1.6954426757670911</ml:real> <ml:real>1.0774313896938981</ml:real> <ml:real>1.6971337269784075</ml:real> <ml:real>1.0756812026384479</ml:real> <ml:real>1.698822025789779</ml:real> <ml:real>1.0739269263377438</ml:real> <ml:real>1.7005075657830027</ml:real> <ml:real>1.0721685673727823</ml:real> <ml:real>1.7021903405502172</ml:real> <ml:real>1.0704061323310983</ml:real> <ml:real>1.703870343693914</ml:real> <ml:real>1.0686396278067534</ml:real> <ml:real>1.7055475688269479</ml:real> <ml:real>1.0668690604003266</ml:real> <ml:real>1.7072220095725474</ml:real> <ml:real>1.0650944367189026</ml:real> <ml:real>1.7088936595643238</ml:real> <ml:real>1.0633157633760613</ml:real> <ml:real>1.7105625124462822</ml:real> <ml:real>1.0615330469918671</ml:real> <ml:real>1.7122285618728323</ml:real> <ml:real>1.059746294192857</ml:real> <ml:real>1.7138918015087969</ml:real> <ml:real>1.0579555116120323</ml:real> <ml:real>1.7155522250294233</ml:real> <ml:real>1.0561607058888447</ml:real> <ml:real>1.7172098261203932</ml:real> <ml:real>1.0543618836691877</ml:real> <ml:real>1.7188645984778321</ml:real> <ml:real>1.0525590516053844</ml:real> <ml:real>1.7205165358083212</ml:real> <ml:real>1.0507522163561764</ml:real> <ml:real>1.7221656318289049</ml:real> <ml:real>1.0489413845867146</ml:real> <ml:real>1.7238118802671034</ml:real> <ml:real>1.0471265629685458</ml:real> <ml:real>1.7254552748609207</ml:real> <ml:real>1.0453077581796035</ml:real> <ml:real>1.7270958093588558</ml:real> <ml:real>1.0434849769041956</ml:real> <ml:real>1.7287334775199121</ml:real> <ml:real>1.0416582258329949</ml:real> <ml:real>1.7303682731136085</ml:real> <ml:real>1.0398275116630256</ml:real> <ml:real>1.7320001899199877</ml:real> <ml:real>1.0379928410976544</ml:real> <ml:real>1.7336292217296274</ml:real> <ml:real>1.0361542208465786</ml:real> <ml:real>1.7352553623436497</ml:real> <ml:real>1.0343116576258147</ml:real> <ml:real>1.7368786055737311</ml:real> <ml:real>1.0324651581576878</ml:real> <ml:real>1.7384989452421125</ml:real> <ml:real>1.030614729170819</ml:real> <ml:real>1.7401163751816091</ml:real> <ml:real>1.0287603774001159</ml:real> <ml:real>1.74173088923562</ml:real> <ml:real>1.0269021095867605</ml:real> <ml:real>1.7433424812581386</ml:real> <ml:real>1.0250399324781976</ml:real> <ml:real>1.7449511451137618</ml:real> <ml:real>1.0231738528281236</ml:real> <ml:real>1.7465568746777005</ml:real> <ml:real>1.0213038773964767</ml:real> <ml:real>1.7481596638357879</ml:real> <ml:real>1.0194300129494225</ml:real> <ml:real>1.7497595064844917</ml:real> <ml:real>1.0175522662593459</ml:real> <ml:real>1.7513563965309218</ml:real> <ml:real>1.0156706441048371</ml:real> <ml:real>1.7529503278928407</ml:real> <ml:real>1.0137851532706816</ml:real> <ml:real>1.7545412944986736</ml:real> <ml:real>1.0118958005478489</ml:real> <ml:real>1.7561292902875174</ml:real> <ml:real>1.0100025927334795</ml:real> <ml:real>1.757714309209151</ml:real> <ml:real>1.0081055366308749</ml:real> <ml:real>1.7592963452240449</ml:real> <ml:real>1.0062046390494857</ml:real> <ml:real>1.7608753923033702</ml:real> <ml:real>1.0042999068048994</ml:real> <ml:real>1.7624514444290091</ml:real> <ml:real>1.0023913467188303</ml:real> <ml:real>1.764024495593564</ml:real> <ml:real>1.0004789656191058</ml:real> <ml:real>1.7655945398003676</ml:real> <ml:real>0.99856277033965646</ml:real> <ml:real>1.7671615710634914</ml:real> <ml:real>0.99664276772050386</ml:real> <ml:real>1.768725583407756</ml:real> <ml:real>0.994718964607749</ml:real> <ml:real>1.7702865708687414</ml:real> <ml:real>0.99279136785356037</ml:real> <ml:real>1.7718445274927952</ml:real> <ml:real>0.99085998431616185</ml:real> <ml:real>1.7733994473370425</ml:real> <ml:real>0.9889248208598227</ml:real> <ml:real>1.7749513244693957</ml:real> <ml:real>0.98698588435484336</ml:real> <ml:real>1.7765001529685636</ml:real> <ml:real>0.98504318167754579</ml:real> <ml:real>1.7780459269240612</ml:real> <ml:real>0.98309671971026014</ml:real> <ml:real>1.7795886404362187</ml:real> <ml:real>0.98114650534131387</ml:real> <ml:real>1.7811282876161918</ml:real> <ml:real>0.97919254546501977</ml:real> <ml:real>1.7826648625859698</ml:real> <ml:real>0.97723484698166363</ml:real> <ml:real>1.7841983594783857</ml:real> <ml:real>0.97527341679749291</ml:real> <ml:real>1.7857287724371256</ml:real> <ml:real>0.9733082618247042</ml:real> <ml:real>1.7872560956167378</ml:real> <ml:real>0.97133938898143157</ml:real> <ml:real>1.7887803231826431</ml:real> <ml:real>0.969366805191735</ml:real> <ml:real>1.7903014493111416</ml:real> <ml:real>0.96739051738558834</ml:real> <ml:real>1.7918194681894253</ml:real> <ml:real>0.96541053249886577</ml:real> <ml:real>1.7933343740155843</ml:real> <ml:real>0.96342685747333234</ml:real> <ml:real>1.7948461609986186</ml:real> <ml:real>0.96143949925662975</ml:real> <ml:real>1.7963548233584448</ml:real> <ml:real>0.95944846480226575</ml:real> <ml:real>1.7978603553259078</ml:real> <ml:real>0.95745376106960089</ml:real> <ml:real>1.7993627511427883</ml:real> <ml:real>0.95545539502383714</ml:real> <ml:real>1.8008620050618129</ml:real> <ml:real>0.953453373636005</ml:real> <ml:real>1.802358111346662</ml:real> <ml:real>0.95144770388295286</ml:real> <ml:real>1.8038510642719812</ml:real> <ml:real>0.94943839274733288</ml:real> <ml:real>1.8053408581233872</ml:real> <ml:real>0.94742544721759014</ml:real> <ml:real>1.8068274871974803</ml:real> <ml:real>0.94540887428794962</ml:real> <ml:real>1.8083109458018503</ml:real> <ml:real>0.94338868095840489</ml:real> <ml:real>1.8097912282550883</ml:real> <ml:real>0.94136487423470439</ml:real> <ml:real>1.8112683288867941</ml:real> <ml:real>0.93933746112834071</ml:real> <ml:real>1.8127422420375856</ml:real> <ml:real>0.93730644865653723</ml:real> <ml:real>1.8142129620591079</ml:real> <ml:real>0.93527184384223627</ml:real> <ml:real>1.8156804833140419</ml:real> <ml:real>0.933233653714086</ml:real> <ml:real>1.8171448001761141</ml:real> <ml:real>0.93119188530642916</ml:real> <ml:real>1.8186059070301046</ml:real> <ml:real>0.92914654565928978</ml:real> <ml:real>1.8200637982718564</ml:real> <ml:real>0.92709764181836107</ml:real> <ml:real>1.8215184683082841</ml:real> <ml:real>0.92504518083499343</ml:real> <ml:real>1.8229699115573839</ml:real> <ml:real>0.92298916976618051</ml:real> <ml:real>1.8244181224482405</ml:real> <ml:real>0.92092961567454834</ml:real> <ml:real>1.8258630954210373</ml:real> <ml:real>0.91886652562834248</ml:real> <ml:real>1.8273048249270647</ml:real> <ml:real>0.91679990670141454</ml:real> <ml:real>1.8287433054287297</ml:real> <ml:real>0.91472976597321021</ml:real> <ml:real>1.8301785313995631</ml:real> <ml:real>0.91265611052875739</ml:real> <ml:real>1.8316104973242302</ml:real> <ml:real>0.91057894745865231</ml:real> <ml:real>1.8330391976985379</ml:real> <ml:real>0.90849828385904763</ml:real> <ml:real>1.8344646270294445</ml:real> <ml:real>0.90641412683163991</ml:real> <ml:real>1.8358867798350673</ml:real> <ml:real>0.90432648348365618</ml:real> <ml:real>1.8373056506446925</ml:real> <ml:real>0.90223536092784284</ml:real> <ml:real>1.8387212339987833</ml:real> <ml:real>0.90014076628245043</ml:real> <ml:real>1.8401335244489885</ml:real> <ml:real>0.89804270667122366</ml:real> <ml:real>1.8415425165581505</ml:real> <ml:real>0.89594118922338628</ml:real> <ml:real>1.8429482049003161</ml:real> <ml:real>0.89383622107363059</ml:real> <ml:real>1.8443505840607415</ml:real> <ml:real>0.89172780936210216</ml:real> <ml:real>1.8457496486359042</ml:real> <ml:real>0.88961596123438924</ml:real> <ml:real>1.8471453932335105</ml:real> <ml:real>0.88750068384150838</ml:real> <ml:real>1.8485378124725029</ml:real> <ml:real>0.88538198433989246</ml:real> <ml:real>1.8499269009830697</ml:real> <ml:real>0.88325986989137784</ml:real> <ml:real>1.8513126534066531</ml:real> <ml:real>0.88113434766319032</ml:real> <ml:real>1.8526950643959583</ml:real> <ml:real>0.87900542482793353</ml:real> <ml:real>1.8540741286149609</ml:real> <ml:real>0.87687310856357592</ml:real> <ml:real>1.855449840738916</ml:real> <ml:real>0.87473740605343631</ml:real> <ml:real>1.8568221954543667</ml:real> <ml:real>0.872598324486173</ml:real> <ml:real>1.8581911874591512</ml:real> <ml:real>0.87045587105576949</ml:real> <ml:real>1.8595568114624137</ml:real> <ml:real>0.86831005296152131</ml:real> <ml:real>1.86091906218461</ml:real> <ml:real>0.86616087740802361</ml:real> <ml:real>1.8622779343575173</ml:real> <ml:real>0.864008351605158</ml:real> <ml:real>1.8636334227242424</ml:real> <ml:real>0.86185248276807913</ml:real> <ml:real>1.8649855220392295</ml:real> <ml:real>0.8596932781172022</ml:real> <ml:real>1.8663342270682692</ml:real> <ml:real>0.85753074487818881</ml:real> <ml:real>1.8676795325885058</ml:real> <ml:real>0.855364890281935</ml:real> <ml:real>1.8690214333884458</ml:real> <ml:real>0.85319572156455681</ml:real> <ml:real>1.8703599242679672</ml:real> <ml:real>0.851023245967379</ml:real> <ml:real>1.8716950000383255</ml:real> <ml:real>0.848847470736919</ml:real> <ml:real>1.8730266555221635</ml:real> <ml:real>0.84666840312487679</ml:real> <ml:real>1.87435488555352</ml:real> <ml:real>0.84448605038811975</ml:real> <ml:real>1.8756796849778352</ml:real> <ml:real>0.842300419788669</ml:real> <ml:real>1.8770010486519619</ml:real> <ml:real>0.84011151859368793</ml:real> <ml:real>1.8783189714441713</ml:real> <ml:real>0.83791935407546769</ml:real> <ml:real>1.8796334482341623</ml:real> <ml:real>0.83572393351141394</ml:real> <ml:real>1.8809444739130696</ml:real> <ml:real>0.833525264184034</ml:real> <ml:real>1.88225204338347</ml:real> <ml:real>0.83132335338092245</ml:real> <ml:real>1.8835561515593922</ml:real> <ml:real>0.82911820839474881</ml:real> <ml:real>1.884856793366325</ml:real> <ml:real>0.8269098365232439</ml:real> <ml:real>1.8861539637412232</ml:real> <ml:real>0.8246982450691861</ml:real> <ml:real>1.8874476576325174</ml:real> <ml:real>0.82248344134038809</ml:real> <ml:real>1.8887378700001212</ml:real> <ml:real>0.82026543264968332</ml:real> <ml:real>1.8900245958154391</ml:real> <ml:real>0.81804422631491269</ml:real> <ml:real>1.8913078300613737</ml:real> <ml:real>0.81581982965891076</ml:real> <ml:real>1.8925875677323349</ml:real> <ml:real>0.81359225000949276</ml:real> <ml:real>1.8938638038342468</ml:real> <ml:real>0.81136149469944</ml:real> <ml:real>1.895136533384556</ml:real> <ml:real>0.80912757106648758</ml:real> <ml:real>1.8964057514122388</ml:real> <ml:real>0.8068904864533103</ml:real> <ml:real>1.8976714529578094</ml:real> <ml:real>0.80465024820750808</ml:real> <ml:real>1.8989336330733266</ml:real> <ml:real>0.80240686368159442</ml:real> <ml:real>1.9001922868224033</ml:real> <ml:real>0.8001603402329811</ml:real> <ml:real>1.9014474092802132</ml:real> <ml:real>0.79791068522396458</ml:real> <ml:real>1.9026989955334979</ml:real> <ml:real>0.79565790602171338</ml:real> <ml:real>1.9039470406805759</ml:real> <ml:real>0.7934020099982535</ml:real> <ml:real>1.9051915398313488</ml:real> <ml:real>0.79114300453045483</ml:real> <ml:real>1.9064324881073098</ml:real> <ml:real>0.78888089700001762</ml:real> <ml:real>1.9076698806415506</ml:real> <ml:real>0.78661569479345883</ml:real> <ml:real>1.9089037125787707</ml:real> <ml:real>0.784347405302098</ml:real> <ml:real>1.9101339790752823</ml:real> <ml:real>0.78207603592204378</ml:real> <ml:real>1.9113606752990193</ml:real> <ml:real>0.77980159405417959</ml:real> <ml:real>1.9125837964295451</ml:real> <ml:real>0.77752408710415066</ml:real> <ml:real>1.9138033376580599</ml:real> <ml:real>0.77524352248234951</ml:real> <ml:real>1.9150192941874062</ml:real> <ml:real>0.77295990760390221</ml:real> <ml:real>1.9162316612320798</ml:real> <ml:real>0.77067324988865471</ml:real> <ml:real>1.9174404340182345</ml:real> <ml:real>0.76838355676115866</ml:real> <ml:real>1.9186456077836898</ml:real> <ml:real>0.76609083565065761</ml:real> <ml:real>1.9198471777779389</ml:real> <ml:real>0.76379509399107326</ml:real> <ml:real>1.9210451392621568</ml:real> <ml:real>0.761496339220991</ml:real> <ml:real>1.9222394875092053</ml:real> <ml:real>0.75919457878364671</ml:real> <ml:real>1.9234302178036427</ml:real> <ml:real>0.75688982012691164</ml:real> <ml:real>1.9246173254417291</ml:real> <ml:real>0.75458207070327976</ml:real> <ml:real>1.9258008057314351</ml:real> <ml:real>0.75227133796985268</ml:real> <ml:real>1.926980653992449</ml:real> <ml:real>0.74995762938832611</ml:real> <ml:real>1.9281568655561823</ml:real> <ml:real>0.7476409524249753</ml:real> <ml:real>1.9293294357657789</ml:real> <ml:real>0.74532131455064166</ml:real> <ml:real>1.9304983599761212</ml:real> <ml:real>0.74299872324071825</ml:real> <ml:real>1.9316636335538377</ml:real> <ml:real>0.74067318597513565</ml:real> <ml:real>1.93282525187731</ml:real> <ml:real>0.73834471023834758</ml:real> <ml:real>1.9339832103366788</ml:real> <ml:real>0.73601330351931726</ml:real> <ml:real>1.9351375043338535</ml:real> <ml:real>0.73367897331150311</ml:real> <ml:real>1.9362881292825165</ml:real> <ml:real>0.7313417271128444</ml:real> <ml:real>1.9374350806081317</ml:real> <ml:real>0.72900157242574726</ml:real> <ml:real>1.938578353747952</ml:real> <ml:real>0.72665851675706938</ml:real> <ml:real>1.9397179441510244</ml:real> <ml:real>0.72431256761810769</ml:real> <ml:real>1.9408538472781993</ml:real> <ml:real>0.72196373252458268</ml:real> <ml:real>1.9419860586021351</ml:real> <ml:real>0.71961201899662453</ml:real> <ml:real>1.943114573607307</ml:real> <ml:real>0.71725743455875879</ml:real> <ml:real>1.944239387790013</ml:real> <ml:real>0.714899986739892</ml:real> <ml:real>1.9453604966583804</ml:real> <ml:real>0.71253968307329729</ml:real> <ml:real>1.9464778957323736</ml:real> <ml:real>0.71017653109660062</ml:real> <ml:real>1.9475915805438007</ml:real> <ml:real>0.70781053835176522</ml:real> <ml:real>1.9487015466363196</ml:real> <ml:real>0.70544171238507836</ml:real> <ml:real>1.9498077895654453</ml:real> <ml:real>0.70307006074713674</ml:real> <ml:real>1.9509103048985572</ml:real> <ml:real>0.70069559099283152</ml:real> <ml:real>1.9520090882149048</ml:real> <ml:real>0.69831831068133388</ml:real> <ml:real>1.9531041351056149</ml:real> <ml:real>0.69593822737608169</ml:real> <ml:real>1.9541954411736981</ml:real> <ml:real>0.69355534864476343</ml:real> <ml:real>1.9552830020340561</ml:real> <ml:real>0.69116968205930485</ml:real> <ml:real>1.9563668133134873</ml:real> <ml:real>0.68878123519585421</ml:real> <ml:real>1.9574468706506947</ml:real> <ml:real>0.68639001563476765</ml:real> <ml:real>1.9585231696962908</ml:real> <ml:real>0.68399603096059414</ml:real> <ml:real>1.9595957061128062</ml:real> <ml:real>0.68159928876206211</ml:real> <ml:real>1.9606644755746949</ml:real> <ml:real>0.679199796632064</ml:real> <ml:real>1.9617294737683402</ml:real> <ml:real>0.67679756216764142</ml:real> <ml:real>1.9627906963920632</ml:real> <ml:real>0.67439259296997178</ml:real> <ml:real>1.9638481391561271</ml:real> <ml:real>0.67198489664435246</ml:real> <ml:real>1.9649017977827459</ml:real> <ml:real>0.669574480800186</ml:real> <ml:real>1.9659516680060882</ml:real> <ml:real>0.66716135305096746</ml:real> <ml:real>1.9669977455722862</ml:real> <ml:real>0.664745521014267</ml:real> <ml:real>1.9680400262394406</ml:real> <ml:real>0.66232699231171677</ml:real> <ml:real>1.9690785057776266</ml:real> <ml:real>0.65990577456899646</ml:real> <ml:real>1.9701131799689025</ml:real> <ml:real>0.65748187541581771</ml:real> <ml:real>1.9711440446073132</ml:real> <ml:real>0.6550553024859096</ml:real> <ml:real>1.9721710954988982</ml:real> <ml:real>0.65262606341700424</ml:real> <ml:real>1.9731943284616975</ml:real> <ml:real>0.65019416585082168</ml:real> <ml:real>1.9742137393257577</ml:real> <ml:real>0.6477596174330551</ml:real> <ml:real>1.9752293239331378</ml:real> <ml:real>0.64532242581335608</ml:real> <ml:real>1.9762410781379174</ml:real> <ml:real>0.64288259864531994</ml:real> <ml:real>1.9772489978062002</ml:real> <ml:real>0.64044014358647083</ml:real> <ml:real>1.9782530788161217</ml:real> <ml:real>0.63799506829824648</ml:real> <ml:real>1.979253317057855</ml:real> <ml:real>0.63554738044598413</ml:real> <ml:real>1.9802497084336173</ml:real> <ml:real>0.6330970876989046</ml:real> <ml:real>1.9812422488576749</ml:real> <ml:real>0.63064419773009839</ml:real> <ml:real>1.9822309342563504</ml:real> <ml:real>0.62818871821651046</ml:real> <ml:real>1.983215760568029</ml:real> <ml:real>0.6257306568389247</ml:real> <ml:real>1.9841967237431624</ml:real> <ml:real>0.62327002128194953</ml:real> <ml:real>1.9851738197442774</ml:real> <ml:real>0.62080681923400349</ml:real> <ml:real>1.9861470445459801</ml:real> <ml:real>0.61834105838729869</ml:real> <ml:real>1.9871163941349632</ml:real> <ml:real>0.61587274643782752</ml:real> <ml:real>1.9880818645100105</ml:real> <ml:real>0.61340189108534671</ml:real> <ml:real>1.9890434516820039</ml:real> <ml:real>0.610928500033362</ml:real> <ml:real>1.9900011516739284</ml:real> <ml:real>0.60845258098911381</ml:real> <ml:real>1.9909549605208787</ml:real> <ml:real>0.60597414166356223</ml:real> <ml:real>1.9919048742700651</ml:real> <ml:real>0.60349318977137156</ml:real> <ml:real>1.9928508889808185</ml:real> <ml:real>0.60100973303089478</ml:real> <ml:real>1.9937930007245968</ml:real> <ml:real>0.59852377916415977</ml:real> <ml:real>1.9947312055849902</ml:real> <ml:real>0.59603533589685243</ml:real> <ml:real>1.9956654996577281</ml:real> <ml:real>0.59354441095830379</ml:real> <ml:real>1.996595879050683</ml:real> <ml:real>0.59105101208147237</ml:real> <ml:real>1.9975223398838775</ml:real> <ml:real>0.58855514700293077</ml:real> <ml:real>1.9984448782894901</ml:real> <ml:real>0.58605682346285</ml:real> <ml:real>1.9993634904118596</ml:real> <ml:real>0.58355604920498416</ml:real> <ml:real>2.0002781724074916</ml:real> <ml:real>0.58105283197665525</ml:real> <ml:real>2.001188920445065</ml:real> <ml:real>0.57854717952873791</ml:real> <ml:real>2.0020957307054346</ml:real> <ml:real>0.57603909961564459</ml:real> <ml:real>2.00299859938164</ml:real> <ml:real>0.57352859999530947</ml:real> <ml:real>2.0038975226789093</ml:real> <ml:real>0.57101568842917416</ml:real> <ml:real>2.0047924968146655</ml:real> <ml:real>0.5685003726821718</ml:real> <ml:real>2.0056835180185297</ml:real> <ml:real>0.56598266052271162</ml:real> <ml:real>2.0065705825323312</ml:real> <ml:real>0.56346255972266446</ml:real> <ml:real>2.0074536866101074</ml:real> <ml:real>0.56094007805734636</ml:real> <ml:real>2.0083328265181128</ml:real> <ml:real>0.55841522330550419</ml:real> <ml:real>2.0092079985348237</ml:real> <ml:real>0.55588800324929977</ml:real> <ml:real>2.0100791989509439</ml:real> <ml:real>0.55335842567429427</ml:real> <ml:real>2.0109464240694068</ml:real> <ml:real>0.55082649836943354</ml:real> <ml:real>2.0118096702053858</ml:real> <ml:real>0.548292229127032</ml:real> <ml:real>2.0126689336862968</ml:real> <ml:real>0.54575562574275771</ml:real> <ml:real>2.0135242108518026</ml:real> <ml:real>0.54321669601561673</ml:real> <ml:real>2.0143754980538198</ml:real> <ml:real>0.54067544774793785</ml:real> <ml:real>2.0152227916565235</ml:real> <ml:real>0.53813188874535667</ml:real> <ml:real>2.0160660880363532</ml:real> <ml:real>0.5355860268168009</ml:real> <ml:real>2.0169053835820154</ml:real> <ml:real>0.533037869774474</ml:real> <ml:real>2.017740674694493</ml:real> <ml:real>0.5304874254338402</ml:real> <ml:real>2.0185719577870458</ml:real> <ml:real>0.52793470161360911</ml:real> <ml:real>2.0193992292852183</ml:real> <ml:real>0.52537970613571972</ml:real> <ml:real>2.0202224856268449</ml:real> <ml:real>0.52282244682532564</ml:real> <ml:real>2.0210417232620537</ml:real> <ml:real>0.52026293151077851</ml:real> <ml:real>2.0218569386532717</ml:real> <ml:real>0.51770116802361277</ml:real> <ml:real>2.0226681282752312</ml:real> <ml:real>0.515137164198531</ml:real> <ml:real>2.0234752886149727</ml:real> <ml:real>0.512570927873387</ml:real> <ml:real>2.024278416171851</ml:real> <ml:real>0.51000246688917061</ml:real> <ml:real>2.0250775074575404</ml:real> <ml:real>0.507431789089993</ml:real> <ml:real>2.0258725589960389</ml:real> <ml:real>0.5048589023230694</ml:real> <ml:real>2.0266635673236735</ml:real> <ml:real>0.50228381443870507</ml:real> <ml:real>2.0274505289891041</ml:real> <ml:real>0.49970653329027825</ml:real> <ml:real>2.02823344055333</ml:real> <ml:real>0.49712706673422552</ml:real> <ml:real>2.0290122985896932</ml:real> <ml:real>0.4945454226300256</ml:real> <ml:real>2.029787099683884</ml:real> <ml:real>0.4919616088401837</ml:real> <ml:real>2.0305578404339455</ml:real> <ml:real>0.48937563323021571</ml:real> <ml:real>2.0313245174502774</ml:real> <ml:real>0.48678750366863316</ml:real> <ml:real>2.0320871273556431</ml:real> <ml:real>0.48419722802692633</ml:real> <ml:real>2.0328456667851711</ml:real> <ml:real>0.48160481417954937</ml:real> <ml:real>2.0336001323863635</ml:real> <ml:real>0.47901027000390423</ml:real> <ml:real>2.0343505208190962</ml:real> <ml:real>0.47641360338032462</ml:real> <ml:real>2.0350968287556279</ml:real> <ml:real>0.47381482219206106</ml:real> <ml:real>2.0358390528806005</ml:real> <ml:real>0.47121393432526387</ml:real> <ml:real>2.0365771898910476</ml:real> <ml:real>0.46861094766896882</ml:real> <ml:real>2.0373112364963957</ml:real> <ml:real>0.46600587011507955</ml:real> <ml:real>2.0380411894184709</ml:real> <ml:real>0.46339870955835327</ml:real> <ml:real>2.0387670453915026</ml:real> <ml:real>0.46078947389638392</ml:real> <ml:real>2.0394888011621273</ml:real> <ml:real>0.45817817102958674</ml:real> <ml:real>2.0402064534893944</ml:real> <ml:real>0.45556480886118228</ml:real> <ml:real>2.0409199991447693</ml:real> <ml:real>0.45294939529718048</ml:real> <ml:real>2.0416294349121387</ml:real> <ml:real>0.45033193824636508</ml:real> <ml:real>2.0423347575878141</ml:real> <ml:real>0.44771244562027684</ml:real> <ml:real>2.0430359639805369</ml:real> <ml:real>0.44509092533319872</ml:real> <ml:real>2.0437330509114826</ml:real> <ml:real>0.44246738530213914</ml:real> <ml:real>2.0444260152142641</ml:real> <ml:real>0.4398418334468161</ml:real> <ml:real>2.0451148537349382</ml:real> <ml:real>0.4372142776896415</ml:real> <ml:real>2.0457995633320056</ml:real> <ml:real>0.4345847259557053</ml:real> <ml:real>2.0464801408764206</ml:real> <ml:real>0.43195318617275885</ml:real> <ml:real>2.0471565832515903</ml:real> <ml:real>0.42931966627119972</ml:real> <ml:real>2.0478288873533836</ml:real> <ml:real>0.42668417418405458</ml:real> <ml:real>2.0484970500901292</ml:real> <ml:real>0.42404671784696429</ml:real> <ml:real>2.0491610683826256</ml:real> <ml:real>0.42140730519816749</ml:real> <ml:real>2.0498209391641424</ml:real> <ml:real>0.41876594417848417</ml:real> <ml:real>2.0504766593804229</ml:real> <ml:real>0.41612264273129995</ml:real> <ml:real>2.0511282259896921</ml:real> <ml:real>0.41347740880254991</ml:real> <ml:real>2.0517756359626573</ml:real> <ml:real>0.41083025034070242</ml:real> <ml:real>2.052418886282513</ml:real> <ml:real>0.40818117529674341</ml:real> <ml:real>2.0530579739449455</ml:real> <ml:real>0.40553019162415987</ml:real> <ml:real>2.0536928959581364</ml:real> <ml:real>0.40287730727892368</ml:real> <ml:real>2.0543236493427659</ml:real> <ml:real>0.40022253021947574</ml:real> <ml:real>2.0549502311320182</ml:real> <ml:real>0.39756586840670949</ml:real> <ml:real>2.0555726383715833</ml:real> <ml:real>0.39490732980395515</ml:real> <ml:real>2.0561908681196628</ml:real> <ml:real>0.3922469223769634</ml:real> <ml:real>2.0568049174469718</ml:real> <ml:real>0.38958465409388909</ml:real> <ml:real>2.0574147834367444</ml:real> <ml:real>0.3869205329252749</ml:real> <ml:real>2.0580204631847367</ml:real> <ml:real>0.38425456684403564</ml:real> <ml:real>2.05862195379923</ml:real> <ml:real>0.38158676382544127</ml:real> <ml:real>2.0592192524010349</ml:real> <ml:real>0.37891713184710152</ml:real> <ml:real>2.0598123561234951</ml:real> <ml:real>0.37624567888894922</ml:real> <ml:real>2.0604012621124919</ml:real> <ml:real>0.37357241293322407</ml:real> <ml:real>2.0609859675264453</ml:real> <ml:real>0.370897341964456</ml:real> <ml:real>2.06156646953632</ml:real> <ml:real>0.36822047396944957</ml:real> <ml:real>2.0621427653256288</ml:real> <ml:real>0.36554181693726756</ml:real> <ml:real>2.0627148520904344</ml:real> <ml:real>0.36286137885921421</ml:real> <ml:real>2.0632827270393541</ml:real> <ml:real>0.36017916772881942</ml:real> <ml:real>2.0638463873935633</ml:real> <ml:real>0.3574951915418218</ml:real> <ml:real>2.0644058303867996</ml:real> <ml:real>0.35480945829615329</ml:real> <ml:real>2.0649610532653639</ml:real> <ml:real>0.35212197599192196</ml:real> <ml:real>2.0655120532881259</ml:real> <ml:real>0.34943275263139623</ml:real> <ml:real>2.0660588277265286</ml:real> <ml:real>0.34674179621898782</ml:real> <ml:real>2.0666013738645868</ml:real> <ml:real>0.34404911476123612</ml:real> <ml:real>2.0671396889988958</ml:real> <ml:real>0.3413547162667917</ml:real> <ml:real>2.0676737704386321</ml:real> <ml:real>0.33865860874639919</ml:real> <ml:real>2.0682036155055576</ml:real> <ml:real>0.33596080021288188</ml:real> <ml:real>2.0687292215340212</ml:real> <ml:real>0.33326129868112492</ml:real> <ml:real>2.0692505858709636</ml:real> <ml:real>0.33056011216805825</ml:real> <ml:real>2.0697677058759205</ml:real> <ml:real>0.3278572486926411</ml:real> <ml:real>2.0702805789210252</ml:real> <ml:real>0.325152716275845</ml:real> <ml:real>2.0707892023910106</ml:real> <ml:real>0.32244652294063791</ml:real> <ml:real>2.0712935736832154</ml:real> <ml:real>0.31973867671196671</ml:real> <ml:real>2.0717936902075849</ml:real> <ml:real>0.31702918561674182</ml:real> <ml:real>2.072289549386674</ml:real> <ml:real>0.31431805768382021</ml:real> <ml:real>2.0727811486556513</ml:real> <ml:real>0.31160530094398869</ml:real> <ml:real>2.073268485462302</ml:real> <ml:real>0.308890923429948</ml:real> <ml:real>2.0737515572670291</ml:real> <ml:real>0.30617493317629563</ml:real> <ml:real>2.0742303615428592</ml:real> <ml:real>0.3034573382195096</ml:real> <ml:real>2.0747048957754433</ml:real> <ml:real>0.30073814659793241</ml:real> <ml:real>2.075175157463061</ml:real> <ml:real>0.29801736635175358</ml:real> <ml:real>2.0756411441166227</ml:real> <ml:real>0.29529500552299359</ml:real> <ml:real>2.0761028532596724</ml:real> <ml:real>0.29257107215548728</ml:real> <ml:real>2.0765602824283897</ml:real> <ml:real>0.28984557429486768</ml:real> <ml:real>2.0770134291715969</ml:real> <ml:real>0.28711851998854837</ml:real> <ml:real>2.0774622910507548</ml:real> <ml:real>0.28438991728570789</ml:real> <ml:real>2.0779068656399717</ml:real> <ml:real>0.28165977423727284</ml:real> <ml:real>2.0783471505260014</ml:real> <ml:real>0.27892809889590092</ml:real> <ml:real>2.0787831433082511</ml:real> <ml:real>0.2761948993159648</ml:real> <ml:real>2.0792148415987781</ml:real> <ml:real>0.27346018355353513</ml:real> <ml:real>2.0796422430222976</ml:real> <ml:real>0.27072395966636437</ml:real> <ml:real>2.0800653452161821</ml:real> <ml:real>0.26798623571386943</ml:real> <ml:real>2.0804841458304657</ml:real> <ml:real>0.26524701975711557</ml:real> <ml:real>2.0808986425278455</ml:real> <ml:real>0.2625063198587998</ml:real> <ml:real>2.0813088329836855</ml:real> <ml:real>0.25976414408323351</ml:real> <ml:real>2.0817147148860169</ml:real> <ml:real>0.25702050049632652</ml:real> <ml:real>2.0821162859355442</ml:real> <ml:real>0.25427539716557013</ml:real> <ml:real>2.0825135438456437</ml:real> <ml:real>0.25152884216002036</ml:real> <ml:real>2.0829064863423685</ml:real> <ml:real>0.24878084355028113</ml:real> <ml:real>2.08329511116445</ml:real> <ml:real>0.24603140940848789</ml:real> <ml:real>2.0836794160633008</ml:real> <ml:real>0.24328054780829067</ml:real> <ml:real>2.0840593988030163</ml:real> <ml:real>0.24052826682483719</ml:real> <ml:real>2.0844350571603778</ml:real> <ml:real>0.23777457453475631</ml:real> <ml:real>2.0848063889248536</ml:real> <ml:real>0.2350194790161414</ml:real> <ml:real>2.0851733918986044</ml:real> <ml:real>0.23226298834853326</ml:real> <ml:real>2.0855360638964813</ml:real> <ml:real>0.22950511061290363</ml:real> <ml:real>2.08589440274603</ml:real> <ml:real>0.22674585389163815</ml:real> <ml:real>2.0862484062874942</ml:real> <ml:real>0.22398522626851991</ml:real> <ml:real>2.0865980723738162</ml:real> <ml:real>0.22122323582871212</ml:real> <ml:real>2.08694339887064</ml:real> <ml:real>0.21845989065874188</ml:real> <ml:real>2.0872843836563111</ml:real> <ml:real>0.21569519884648292</ml:real> <ml:real>2.0876210246218836</ml:real> <ml:real>0.21292916848113924</ml:real> <ml:real>2.087953319671116</ml:real> <ml:real>0.21016180765322778</ml:real> <ml:real>2.088281266720478</ml:real> <ml:real>0.20739312445456193</ml:real> <ml:real>2.0886048636991505</ml:real> <ml:real>0.20462312697823437</ml:real> <ml:real>2.0889241085490289</ml:real> <ml:real>0.20185182331860063</ml:real> <ml:real>2.0892389992247224</ml:real> <ml:real>0.1990792215712619</ml:real> <ml:real>2.0895495336935594</ml:real> <ml:real>0.19630532983304821</ml:real> <ml:real>2.0898557099355868</ml:real> <ml:real>0.19353015620200176</ml:real> <ml:real>2.0901575259435732</ml:real> <ml:real>0.19075370877735964</ml:real> <ml:real>2.0904549797230096</ml:real> <ml:real>0.18797599565953738</ml:real> <ml:real>2.0907480692921125</ml:real> <ml:real>0.18519702495011153</ml:real> <ml:real>2.0910367926818263</ml:real> <ml:real>0.18241680475180344</ml:real> <ml:real>2.091321147935822</ml:real> <ml:real>0.17963534316846164</ml:real> <ml:real>2.0916011331105029</ml:real> <ml:real>0.17685264830504532</ml:real> <ml:real>2.0918767462750028</ml:real> <ml:real>0.1740687282676075</ml:real> <ml:real>2.0921479855111911</ml:real> <ml:real>0.17128359116327752</ml:real> <ml:real>2.0924148489136707</ml:real> <ml:real>0.16849724510024489</ml:real> <ml:real>2.0926773345897827</ml:real> <ml:real>0.16570969818774145</ml:real> <ml:real>2.0929354406596063</ml:real> <ml:real>0.16292095853602512</ml:real> <ml:real>2.0931891652559629</ml:real> <ml:real>0.16013103425636266</ml:real> <ml:real>2.0934385065244139</ml:real> <ml:real>0.1573399334610126</ml:real> <ml:real>2.0936834626232641</ml:real> <ml:real>0.15454766426320843</ml:real> <ml:real>2.0939240317235646</ml:real> <ml:real>0.15175423477714162</ml:real> <ml:real>2.0941602120091121</ml:real> <ml:real>0.14895965311794451</ml:real> <ml:real>2.0943920016764519</ml:real> <ml:real>0.14616392740167311</ml:real> <ml:real>2.0946193989348778</ml:real> <ml:real>0.14336706574529057</ml:real> <ml:real>2.0948424020064351</ml:real> <ml:real>0.14056907626664972</ml:real> <ml:real>2.0950610091259216</ml:real> <ml:real>0.13776996708447648</ml:real> <ml:real>2.0952752185408872</ml:real> <ml:real>0.13496974631835224</ml:real> <ml:real>2.095485028511638</ml:real> <ml:real>0.13216842208869711</ml:real> <ml:real>2.0956904373112355</ml:real> <ml:real>0.12936600251675323</ml:real> <ml:real>2.0958914432254994</ml:real> <ml:real>0.12656249572456735</ml:real> <ml:real>2.0960880445530075</ml:real> <ml:real>0.12375790983497342</ml:real> <ml:real>2.0962802396050977</ml:real> <ml:real>0.1209522529715763</ml:real> <ml:real>2.0964680267058693</ml:real> <ml:real>0.11814553325873417</ml:real> <ml:real>2.0966514041921829</ml:real> <ml:real>0.11533775882154157</ml:real> <ml:real>2.0968303704136644</ml:real> <ml:real>0.11252893778581247</ml:real> <ml:real>2.097004923732702</ml:real> <ml:real>0.10971907827806254</ml:real> <ml:real>2.0971750625244518</ml:real> <ml:real>0.1069081884254931</ml:real> <ml:real>2.0973407851768346</ml:real> <ml:real>0.10409627635597341</ml:real> <ml:real>2.0975020900905403</ml:real> <ml:real>0.10128335019802287</ml:real> <ml:real>2.0976589756790265</ml:real> <ml:real>0.098469418080795457</ml:real> <ml:real>2.0978114403685213</ml:real> <ml:real>0.095654488134061466</ml:real> <ml:real>2.0979594825980241</ml:real> <ml:real>0.0928385684881905</ml:real> <ml:real>2.0981031008193032</ml:real> <ml:real>0.090021667274134964</ml:real> <ml:real>2.0982422934969032</ml:real> <ml:real>0.0872037926234121</ml:real> <ml:real>2.09837705910814</ml:real> <ml:real>0.084384952668087043</ml:real> <ml:real>2.0985073961431029</ml:real> <ml:real>0.081565155540756384</ml:real> <ml:real>2.0986333031046578</ml:real> <ml:real>0.078744409374530033</ml:real> <ml:real>2.0987547785084457</ml:real> <ml:real>0.075922722303014833</ml:real> <ml:real>2.0988718208828852</ml:real> <ml:real>0.073100102460296412</ml:real> <ml:real>2.098984428769171</ml:real> <ml:real>0.070276557980923138</ml:real> <ml:real>2.0990926007212765</ml:real> <ml:real>0.067452096999888522</ml:real> <ml:real>2.0991963353059537</ml:real> <ml:real>0.064626727652613292</ml:real> <ml:real>2.0992956311027333</ml:real> <ml:real>0.0618004580749294</ml:real> <ml:real>2.0993904867039284</ml:real> <ml:real>0.058973296403062092</ml:real> <ml:real>2.09948090071463</ml:real> <ml:real>0.056145250773612765</ml:real> <ml:real>2.0995668717527116</ml:real> <ml:real>0.053316329323541911</ml:real> <ml:real>2.0996483984488288</ml:real> <ml:real>0.050486540190151918</ml:real> <ml:real>2.0997254794464189</ml:real> <ml:real>0.047655891511069581</ml:real> <ml:real>2.0997981134017021</ml:real> <ml:real>0.044824391424229171</ml:real> <ml:real>2.0998662989836818</ml:real> <ml:real>0.041992048067855059</ml:real> <ml:real>2.0999300348741454</ml:real> <ml:real>0.039158869580444677</ml:real> <ml:real>2.0999893197676642</ml:real> <ml:real>0.036324864100750864</ml:real> <ml:real>2.100044152371594</ml:real> <ml:real>0.033490039767764934</ml:real> <ml:real>2.1000945314060759</ml:real> <ml:real>0.03065440472069958</ml:real> <ml:real>2.1001404556040355</ml:real> <ml:real>0.027817967098970831</ml:real> <ml:real>2.1001819237111841</ml:real> <ml:real>0.024980735042181956</ml:real> <ml:real>2.1002189344860196</ml:real> <ml:real>0.022142716690105202</ml:real> <ml:real>2.100251486699825</ml:real> <ml:real>0.019303920182665024</ml:real> <ml:real>2.1002795791366697</ml:real> <ml:real>0.016464353659920716</ml:real> <ml:real>2.1003032105934096</ml:real> <ml:real>0.013624025262049033</ml:real> <ml:real>2.100322379879688</ml:real> <ml:real>0.010782943129326983</ml:real> <ml:real>2.1003370858179342</ml:real> <ml:real>0.0079411154021145069</ml:real> <ml:real>2.1003473272433641</ml:real> <ml:real>0.0050985502208371614</ml:real> <ml:real>2.1003531030039819</ml:real> <ml:real>0.0022552557259689077</ml:real> <ml:real>2.100354411960577</ml:real> <ml:real>-0.0005887599419851508</ml:real> <ml:real>2.1003512529867283</ml:real> <ml:real>-0.0034334886425065325</ml:real> <ml:real>2.100343624968799</ml:real> <ml:real>-0.00627892223507992</ml:real> <ml:real>2.1003315268059417</ml:real> <ml:real>-0.0091250525792112014</ml:real> <ml:real>2.1003149574100943</ml:real> <ml:real>-0.011971871534444345</ml:real> <ml:real>2.1002939157059832</ml:real> <ml:real>-0.014819370960378997</ml:real> <ml:real>2.100268400631121</ml:real> <ml:real>-0.017667542716687412</ml:real> <ml:real>2.1002384111358063</ml:real> <ml:real>-0.02051637866313244</ml:real> <ml:real>2.1002039461831252</ml:real> <ml:real>-0.023365870659584231</ml:real> <ml:real>2.10016500474895</ml:real> <ml:real>-0.026216010566037951</ml:real> <ml:real>2.1001215858219395</ml:real> <ml:real>-0.02906679024263098</ml:real> <ml:real>2.1000736884035374</ml:real> <ml:real>-0.0319182015496603</ml:real> <ml:real>2.1000213115079736</ml:real> <ml:real>-0.034770236347599848</ml:real> <ml:real>2.0999644541622646</ml:real> <ml:real>-0.037622886497117869</ml:real> <ml:real>2.0999031154062098</ml:real> <ml:real>-0.040476143859094538</ml:real> <ml:real>2.0998372942923944</ml:real> <ml:real>-0.043330000294638626</ml:real> <ml:real>2.0997669898861888</ml:real> <ml:real>-0.04618444766510571</ml:real> <ml:real>2.099692201265746</ml:real> <ml:real>-0.04903947783211493</ml:real> <ml:real>2.0996129275220028</ml:real> <ml:real>-0.051895082657566816</ml:real> <ml:real>2.09952916775868</ml:real> <ml:real>-0.054751254003660155</ml:real> <ml:real>2.0994409210922789</ml:real> <ml:real>-0.057607983732909984</ml:real> <ml:real>2.0993481866520858</ml:real> <ml:real>-0.060465263708164463</ml:real> <ml:real>2.0992509635801664</ml:real> <ml:real>-0.063323085792622746</ml:real> <ml:real>2.0991492510313674</ml:real> <ml:real>-0.066181441849851586</ml:real> <ml:real>2.0990430481733169</ml:real> <ml:real>-0.069040323743803811</ml:real> <ml:real>2.0989323541864224</ml:real> <ml:real>-0.071899723338834765</ml:real> <ml:real>2.0988171682638703</ml:real> <ml:real>-0.074759632499720452</ml:real> <ml:real>2.0986974896116255</ml:real> <ml:real>-0.077620043091674418</ml:real> <ml:real>2.0985733174484302</ml:real> <ml:real>-0.080480946980365231</ml:real> <ml:real>2.0984446510058046</ml:real> <ml:real>-0.0833423360319342</ml:real> <ml:real>2.0983114895280446</ml:real> <ml:real>-0.0862042021130126</ml:real> <ml:real>2.0981738322722214</ml:real> <ml:real>-0.089066537090739084</ml:real> <ml:real>2.0980316785081818</ml:real> <ml:real>-0.091929332832776933</ml:real> <ml:real>2.0978850275185446</ml:real> <ml:real>-0.094792581207331916</ml:real> <ml:real>2.097733878598703</ml:real> <ml:real>-0.09765627408316957</ml:real> <ml:real>2.0975782310568225</ml:real> <ml:real>-0.10052040332963214</ml:real> <ml:real>2.0974180842138384</ml:real> <ml:real>-0.10338496081665677</ml:real> <ml:real>2.0972534374034568</ml:real> <ml:real>-0.10624993841479236</ml:real> <ml:real>2.0970842899721545</ml:real> <ml:real>-0.10911532799521734</ml:real> <ml:real>2.0969106412791736</ml:real> <ml:real>-0.11198112142975691</ml:real> <ml:real>2.0967324906965255</ml:real> <ml:real>-0.1148473105909007</ml:real> <ml:real>2.0965498376089875</ml:real> <ml:real>-0.11771388735181998</ml:real> <ml:real>2.0963626814141012</ml:real> <ml:real>-0.12058084358638521</ml:real> <ml:real>2.0961710215221729</ml:real> <ml:real>-0.12344817116918361</ml:real> <ml:real>2.0959748573562713</ml:real> <ml:real>-0.1263158619755364</ml:real> <ml:real>2.0957741883522267</ml:real> <ml:real>-0.12918390788151651</ml:real> <ml:real>2.09556901395863</ml:real> <ml:real>-0.13205230076396568</ml:real> <ml:real>2.0953593336368312</ml:real> <ml:real>-0.13492103250051213</ml:real> <ml:real>2.0951451468609381</ml:real> <ml:real>-0.13779009496958816</ml:real> <ml:real>2.0949264531178158</ml:real> <ml:real>-0.14065948005044754</ml:real> <ml:real>2.0947032519070841</ml:real> <ml:real>-0.14352917962318279</ml:real> <ml:real>2.094475542741117</ml:real> <ml:real>-0.14639918556874271</ml:real> <ml:real>2.0942433251450412</ml:real> <ml:real>-0.14926948976895021</ml:real> <ml:real>2.094006598656736</ml:real> <ml:real>-0.15214008410651914</ml:real> <ml:real>2.0937653628268276</ml:real> <ml:real>-0.15501096046507229</ml:real> <ml:real>2.0935196172186936</ml:real> <ml:real>-0.1578821107291587</ml:real> <ml:real>2.0932693614084577</ml:real> <ml:real>-0.16075352678427096</ml:real> <ml:real>2.0930145949849877</ml:real> <ml:real>-0.16362520051686319</ml:real> <ml:real>2.0927553175498974</ml:real> <ml:real>-0.16649712381436782</ml:real> <ml:real>2.0924915287175416</ml:real> <ml:real>-0.16936928856521361</ml:real> <ml:real>2.0922232281150168</ml:real> <ml:real>-0.17224168665884293</ml:real> <ml:real>2.0919504153821582</ml:real> <ml:real>-0.17511430998572952</ml:real> <ml:real>2.0916730901715388</ml:real> <ml:real>-0.17798715043739549</ml:real> <ml:real>2.0913912521484672</ml:real> <ml:real>-0.18086019990642882</ml:real> <ml:real>2.0911049009909868</ml:real> <ml:real>-0.18373345028650145</ml:real> <ml:real>2.0908140363898733</ml:real> <ml:real>-0.18660689347238663</ml:real> <ml:real>2.0905186580486328</ml:real> <ml:real>-0.18948052135997567</ml:real> <ml:real>2.0902187656835007</ml:real> <ml:real>-0.19235432584629625</ml:real> <ml:real>2.0899143590234406</ml:real> <ml:real>-0.19522829882952941</ml:real> <ml:real>2.0896054378101394</ml:real> <ml:real>-0.19810243220902757</ml:real> <ml:real>2.0892920017980097</ml:real> <ml:real>-0.20097671788533134</ml:real> <ml:real>2.0889740507541843</ml:real> <ml:real>-0.20385114776018765</ml:real> <ml:real>2.0886515844585154</ml:real> <ml:real>-0.20672571373656706</ml:real> <ml:real>2.0883246027035751</ml:real> <ml:real>-0.20960040771868094</ml:real> <ml:real>2.08799310529465</ml:real> <ml:real>-0.21247522161199939</ml:real> <ml:real>2.0876570920497395</ml:real> <ml:real>-0.21535014732326857</ml:real> <ml:real>2.0873165627995562</ml:real> <ml:real>-0.21822517676052794</ml:real> <ml:real>2.0869715173875227</ml:real> <ml:real>-0.2211003018331284</ml:real> <ml:real>2.0866219556697696</ml:real> <ml:real>-0.22397551445174924</ml:real> <ml:real>2.0862678775151311</ml:real> <ml:real>-0.22685080652841588</ml:real> <ml:real>2.0859092828051469</ml:real> <ml:real>-0.22972616997651718</ml:real> <ml:real>2.0855461714340566</ml:real> <ml:real>-0.23260159671082326</ml:real> <ml:real>2.0851785433088006</ml:real> <ml:real>-0.23547707864750272</ml:real> <ml:real>2.0848063983490146</ml:real> <ml:real>-0.2383526077041403</ml:real> <ml:real>2.0844297364870306</ml:real> <ml:real>-0.24122817579975431</ml:real> <ml:real>2.0840485576678707</ml:real> <ml:real>-0.24410377485481422</ml:real> <ml:real>2.0836628618492496</ml:real> <ml:real>-0.24697939679125808</ml:real> <ml:real>2.0832726490015689</ml:real> <ml:real>-0.24985503353251015</ml:real> <ml:real>2.0828779191079154</ml:real> <ml:real>-0.25273067700349805</ml:real> <ml:real>2.0824786721640596</ml:real> <ml:real>-0.25560631913067083</ml:real> <ml:real>2.0820749081784511</ml:real> <ml:real>-0.258481951842016</ml:real> <ml:real>2.0816666271722206</ml:real> <ml:real>-0.26135756706707713</ml:real> <ml:real>2.0812538291791718</ml:real> <ml:real>-0.2642331567369719</ml:real> <ml:real>2.080836514245783</ml:real> <ml:real>-0.26710871278440868</ml:real> <ml:real>2.0804146824312038</ml:real> <ml:real>-0.26998422714370474</ml:real> <ml:real>2.0799883338072513</ml:real> <ml:real>-0.27285969175080343</ml:real> <ml:real>2.0795574684584084</ml:real> <ml:real>-0.27573509854329187</ml:real> <ml:real>2.0791220864818207</ml:real> <ml:real>-0.27861043946041819</ml:real> <ml:real>2.0786821879872956</ml:real> <ml:real>-0.28148570644310944</ml:real> <ml:real>2.078237773097297</ml:real> <ml:real>-0.2843608914339889</ml:real> <ml:real>2.077788841946945</ml:real> <ml:real>-0.28723598637739317</ml:real> <ml:real>2.0773353946840105</ml:real> <ml:real>-0.29011098321939033</ml:real> <ml:real>2.0768774314689162</ml:real> <ml:real>-0.29298587390779735</ml:real> <ml:real>2.0764149524747308</ml:real> <ml:real>-0.29586065039219711</ml:real> <ml:real>2.0759479578871671</ml:real> <ml:real>-0.29873530462395642</ml:real> <ml:real>2.0754764479045789</ml:real> <ml:real>-0.30160982855624296</ml:real> <ml:real>2.075000422737959</ml:real> <ml:real>-0.30448421414404359</ml:real> <ml:real>2.0745198826109359</ml:real> <ml:real>-0.30735845334418122</ml:real> <ml:real>2.0740348277597707</ml:real> <ml:real>-0.31023253811533225</ml:real> <ml:real>2.073545258433354</ml:real> <ml:real>-0.31310646041804452</ml:real> <ml:real>2.0730511748932043</ml:real> <ml:real>-0.31598021221475459</ml:real> <ml:real>2.0725525774134623</ml:real> <ml:real>-0.31885378546980525</ml:real> <ml:real>2.0720494662808915</ml:real> <ml:real>-0.321727172149463</ml:real> <ml:real>2.0715418417948714</ml:real> <ml:real>-0.32460036422193539</ml:real> <ml:real>2.0710297042673975</ml:real> <ml:real>-0.32747335365738872</ml:real> <ml:real>2.0705130540230767</ml:real> <ml:real>-0.33034613242796562</ml:real> <ml:real>2.0699918913991238</ml:real> <ml:real>-0.33321869250780212</ml:real> <ml:real>2.0694662167453606</ml:real> <ml:real>-0.33609102587304596</ml:real> <ml:real>2.0689360304242093</ml:real> <ml:real>-0.33896312450187294</ml:real> <ml:real>2.0684013328106921</ml:real> <ml:real>-0.34183498037450522</ml:real> <ml:real>2.0678621242924273</ml:real> <ml:real>-0.34470658547322869</ml:real> <ml:real>2.0673184052696252</ml:real> <ml:real>-0.34757793178241042</ml:real> <ml:real>2.0667701761550852</ml:real> <ml:real>-0.35044901128851569</ml:real> <ml:real>2.0662174373741937</ml:real> <ml:real>-0.35331981598012629</ml:real> <ml:real>2.0656601893649182</ml:real> <ml:real>-0.35619033784795728</ml:real> <ml:real>2.0650984325778072</ml:real> <ml:real>-0.35906056888487503</ml:real> <ml:real>2.0645321674759836</ml:real> <ml:real>-0.36193050108591396</ml:real> <ml:real>2.063961394535144</ml:real> <ml:real>-0.36480012644829507</ml:real> <ml:real>2.0633861142435523</ml:real> <ml:real>-0.36766943697144228</ml:real> <ml:real>2.06280632710204</ml:real> <ml:real>-0.37053842465700082</ml:real> <ml:real>2.0622220336239994</ml:real> <ml:real>-0.37340708150885404</ml:real> <ml:real>2.0616332343353809</ml:real> <ml:real>-0.37627539953314137</ml:real> <ml:real>2.0610399297746911</ml:real> <ml:real>-0.37914337073827542</ml:real> <ml:real>2.0604421204929868</ml:real> <ml:real>-0.38201098713495973</ml:real> <ml:real>2.0598398070538742</ml:real> <ml:real>-0.38487824073620591</ml:real> <ml:real>2.0592329900335011</ml:real> <ml:real>-0.38774512355735158</ml:real> <ml:real>2.0586216700205582</ml:real> <ml:real>-0.39061162761607704</ml:real> <ml:real>2.0580058476162715</ml:real> <ml:real>-0.3934777449324236</ml:real> <ml:real>2.0573855234344</ml:real> <ml:real>-0.39634346752881061</ml:real> <ml:real>2.056760698101233</ml:real> <ml:real>-0.39920878743005273</ml:real> <ml:real>2.0561313722555843</ml:real> <ml:real>-0.40207369666337783</ml:real> <ml:real>2.0554975465487897</ml:real> <ml:real>-0.404938187258444</ml:real> <ml:real>2.0548592216447035</ml:real> <ml:real>-0.40780225124735736</ml:real> <ml:real>2.0542163982196922</ml:real> <ml:real>-0.41066588066468912</ml:real> <ml:real>2.0535690769626354</ml:real> <ml:real>-0.41352906754749336</ml:real> <ml:real>2.0529172585749156</ml:real> <ml:real>-0.41639180393532427</ml:real> <ml:real>2.0522609437704205</ml:real> <ml:real>-0.41925408187025348</ml:real> <ml:real>2.0516001332755334</ml:real> <ml:real>-0.42211589339688804</ml:real> <ml:real>2.0509348278291335</ml:real> <ml:real>-0.424977230562387</ml:real> <ml:real>2.0502650281825909</ml:real> <ml:real>-0.42783808541647972</ml:real> <ml:real>2.0495907350997604</ml:real> <ml:real>-0.43069845001148238</ml:real> <ml:real>2.0489119493569792</ml:real> <ml:real>-0.43355831640231612</ml:real> <ml:real>2.0482286717430638</ml:real> <ml:real>-0.43641767664652431</ml:real> <ml:real>2.0475409030593026</ml:real> <ml:real>-0.43927652280428975</ml:real> <ml:real>2.0468486441194558</ml:real> <ml:real>-0.44213484693845206</ml:real> <ml:real>2.0461518957497478</ml:real> <ml:real>-0.44499264111452541</ml:real> <ml:real>2.045450658788865</ml:real> <ml:real>-0.44784989740071551</ml:real> <ml:real>2.0447449340879507</ml:real> <ml:real>-0.45070660786793726</ml:real> <ml:real>2.0440347225106006</ml:real> <ml:real>-0.45356276458983225</ml:real> <ml:real>2.0433200249328602</ml:real> <ml:real>-0.456418359642786</ml:real> <ml:real>2.0426008422432176</ml:real> <ml:real>-0.45927338510594495</ml:real> <ml:real>2.0418771753426022</ml:real> <ml:real>-0.46212783306123484</ml:real> <ml:real>2.0411490251443776</ml:real> <ml:real>-0.4649816955933771</ml:real> <ml:real>2.0404163925743397</ml:real> <ml:real>-0.46783496478990672</ml:real> <ml:real>2.03967927857071</ml:real> <ml:real>-0.47068763274118941</ml:real> <ml:real>2.0389376840841336</ml:real> <ml:real>-0.47353969154043951</ml:real> <ml:real>2.0381916100776714</ml:real> <ml:real>-0.47639113328373645</ml:real> <ml:real>2.0374410575267987</ml:real> <ml:real>-0.47924195007004294</ml:real> <ml:real>2.0366860274193987</ml:real> <ml:real>-0.48209213400122175</ml:real> <ml:real>2.0359265207557606</ml:real> <ml:real>-0.48494167718205361</ml:real> <ml:real>2.0351625385485708</ml:real> <ml:real>-0.48779057172025375</ml:real> <ml:real>2.0343940818229109</ml:real> <ml:real>-0.49063880972649032</ml:real> <ml:real>2.0336211516162543</ml:real> <ml:real>-0.49348638331440065</ml:real> <ml:real>2.0328437489784581</ml:real> <ml:real>-0.49633328460060955</ml:real> <ml:real>2.0320618749717614</ml:real> <ml:real>-0.499179505704746</ml:real> <ml:real>2.0312755306707784</ml:real> <ml:real>-0.50202503874946069</ml:real> <ml:real>2.0304847171624956</ml:real> <ml:real>-0.50486987586044363</ml:real> <ml:real>2.0296894355462656</ml:real> <ml:real>-0.50771400916644061</ml:real> <ml:real>2.0288896869338027</ml:real> <ml:real>-0.51055743079927163</ml:real> <ml:real>2.0280854724491779</ml:real> <ml:real>-0.51340013289384745</ml:real> <ml:real>2.0272767932288147</ml:real> <ml:real>-0.51624210758818723</ml:real> <ml:real>2.0264636504214835</ml:real> <ml:real>-0.51908334702343562</ml:real> <ml:real>2.0256460451882967</ml:real> <ml:real>-0.52192384334388042</ml:real> <ml:real>2.0248239787027043</ml:real> <ml:real>-0.52476358869696926</ml:real> <ml:real>2.0239974521504882</ml:real> <ml:real>-0.52760257523332765</ml:real> <ml:real>2.0231664667297578</ml:real> <ml:real>-0.53044079510677566</ml:real> <ml:real>2.0223310236509442</ml:real> <ml:real>-0.5332782404743458</ml:real> <ml:real>2.021491124136797</ml:real> <ml:real>-0.53611490349629942</ml:real> <ml:real>2.0206467694223766</ml:real> <ml:real>-0.53895077633614474</ml:real> <ml:real>2.0197979607550502</ml:real> <ml:real>-0.541785851160654</ml:real> <ml:real>2.0189446993944884</ml:real> <ml:real>-0.54462012013988037</ml:real> <ml:real>2.0180869866126572</ml:real> <ml:real>-0.54745357544717577</ml:real> <ml:real>2.0172248236938142</ml:real> <ml:real>-0.55028620925920746</ml:real> <ml:real>2.0163582119345032</ml:real> <ml:real>-0.55311801375597591</ml:real> <ml:real>2.0154871526435487</ml:real> <ml:real>-0.55594898112083158</ml:real> <ml:real>2.0146116471420532</ml:real> <ml:real>-0.55877910354049243</ml:real> <ml:real>2.0137316967633856</ml:real> <ml:real>-0.56160837320506107</ml:real> <ml:real>2.0128473028531841</ml:real> <ml:real>-0.56443678230804206</ml:real> <ml:real>2.0119584667693431</ml:real> <ml:real>-0.56726432304635888</ml:real> <ml:real>2.0110651898820144</ml:real> <ml:real>-0.57009098762037169</ml:real> <ml:real>2.0101674735735959</ml:real> <ml:real>-0.5729167682338937</ml:real> <ml:real>2.0092653192387311</ml:real> <ml:real>-0.5757416570942091</ml:real> <ml:real>2.0083587282843003</ml:real> <ml:real>-0.5785656464120903</ml:real> <ml:real>2.0074477021294168</ml:real> <ml:real>-0.58138872840181444</ml:real> <ml:real>2.0065322422054215</ml:real> <ml:real>-0.58421089528118131</ml:real> <ml:real>2.005612349955876</ml:real> <ml:real>-0.58703213927153008</ml:real> <ml:real>2.0046880268365577</ml:real> <ml:real>-0.58985245259775665</ml:real> <ml:real>2.0037592743154544</ml:real> <ml:real>-0.5926718274883308</ml:real> <ml:real>2.0028260938727591</ml:real> <ml:real>-0.59549025617531359</ml:real> <ml:real>2.0018884870008642</ml:real> <ml:real>-0.59830773089437406</ml:real> <ml:real>2.0009464552043532</ml:real> <ml:real>-0.60112424388480667</ml:real> <ml:real>2</ml:real> <ml:real>-0.60393978738954834</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <table item-idref="113"/> </resultFormat> </math> <rendering item-idref="114"/> </region> <region region-id="1885" left="42" top="3708.75" width="405" height="13.5" align-x="42" align-y="3720" 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">Полученные приближенное и точное решения можно сравнить на графике:</f> </text> </region> <region region-id="1773" left="42" top="3750" width="255" height="135.75" align-x="42" align-y="3750" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="115"/> <rendering item-idref="116"/> </region> <region region-id="1997" left="390" top="3739.5" width="105" height="22.5" align-x="408" align-y="3756" 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>0.0015707963267948967</ml:real> </result> </ml:eval> </math> <rendering item-idref="117"/> </region> <region region-id="1995" left="396" top="3774.75" width="81.75" height="17.25" align-x="428.25" align-y="3786" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>1</ml:real> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0021929247043186</ml:real> </result> </ml:eval> </math> <rendering item-idref="118"/> </region> <region region-id="1776" left="390" top="3798.75" width="78" height="17.25" align-x="418.5" align-y="3810" 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>700</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0995574287564276</ml:real> </result> </ml:eval> </math> <rendering item-idref="119"/> </region> <region region-id="1775" left="384" top="3840.75" width="92.25" height="17.25" align-x="426.75" align-y="3852" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>700</ml:real> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.0829064863423685</ml:real> </result> </ml:eval> </math> <rendering item-idref="120"/> </region> <region region-id="1891" left="36" top="3912" width="392.25" height="14.25" align-x="36" align-y="3924" 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"> Примечание </f> <f family="Arial Cyr" charset="204" size="12">. Выше можно взять КК = 2 и увидеть ломаную линию Y[0,k].</f> </text> </region> <region region-id="2004" left="36" top="3942.75" width="458.25" height="40.5" align-x="36" align-y="3954" 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">Проведём сравнение полученного решения методом припасовывания в точке x=1<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">со значением решения, полученного ШПО в Maple в той же точке. Для этого найдём </f> <f family="Arial Cyr" charset="204" size="12">индекс k1 из уравнения: k1=floor((1-x[0])/h) </f> </text> </region> <region region-id="2006" left="36" top="3993" width="101.25" height="35.25" align-x="57.75" align-y="4014" 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">k1</ml:id> <ml:apply> <ml:id xml:space="preserve">floor</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</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="121"/> </region> <region region-id="2007" left="156" top="4002.75" width="54.75" height="15.75" align-x="176.25" align-y="4014" 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">k1</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>636</ml:real> </result> </ml:eval> </math> <rendering item-idref="122"/> </region> <region region-id="2008" left="240" top="4002.75" width="66.75" height="17.25" align-x="263.25" align-y="4014" 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:id xml:space="preserve">k1</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.99902646384155425</ml:real> </result> </ml:eval> </math> <rendering item-idref="123"/> </region> <region region-id="2009" left="342" top="4002.75" width="87" height="17.25" align-x="379.5" align-y="4014" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k1</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.0491610683826256</ml:real> </result> </ml:eval> </math> <rendering item-idref="124"/> </region> <region region-id="2011" left="36" top="4044.75" width="394.5" height="27" align-x="36" align-y="4056" 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 прошла успешно, совпадение результатов подтверждено (см. </f> <f family="Arial Cyr" charset="204" size="12">в Maple Пример №2).</f> </text> </region> <region region-id="1746" left="42" top="4086" width="463.5" height="27.75" align-x="42" align-y="4098" 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"> Упражнение. </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false"> Привести п</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false">ример </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">других краевых условий, когда частного решения нет<sp count="8"/> </inlineAttr> </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">М</inlineAttr> </f> <f family="Arial Cyr" charset="204">ожно взять граничные условия: y(0)=1, y'(Pi/2)=1).</f> </text> </region> <region region-id="1750" left="30" top="4140.75" width="462.75" height="27" align-x="30" align-y="4152" 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">Если Вы хотите сравнить полученное Вами решение с ответом, откройте в электрон-</f> <f family="Arial Cyr" charset="204" size="12">ной версии пособия ниже представленную закрытую область.</f> </text> </region> <region region-id="1753" left="0" top="4173" width="6008.25" align-x="8.25" align-y="4182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="1514.25"> <area is-collapsed="false" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="1753" bottom-lock-id="1754" bottom-tag=""> <region region-id="1864" left="30" top="4191.75" width="470.25" height="16.5" align-x="30" align-y="4206" 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">По-прежнему рассматриваем уравнение y'' + y = e</f> <f family="Arial Cyr" charset="204" size="12"> -x </f> <sp/> <f family="Arial Cyr" charset="204" size="12">и для заданных граничных условий</f> </text> </region> <region region-id="1806" left="24" top="4227.75" width="489.75" height="138" align-x="24" align-y="4248" 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" charset="0" size="10"> <inlineAttr font-style="normal" underline="false"> y(0)=1, y'(Pi/2)=1 </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">его решение будет</inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr font-style="normal" underline="false">: </inlineAttr> </f> <region region-id="1538" left="210" top="4228.5" width="176.25" height="33.75" align-x="237.75" align-y="4248" 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">x</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">B</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="125"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">. </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">Где не</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">известный коэффициент В определяется из 2-го граничного условия:</inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> <region region-id="1539" left="24" top="4276.5" width="185.25" height="33.75" align-x="54" align-y="4296" 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">x</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:neg/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">B</ml:id> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="126"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">,<sp count="2"/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">то есть</inlineAttr> </f> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial" charset="0" size="10"> <sp/> </f> </inlineAttr> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> <region region-id="1540" left="264" top="4263" width="147.75" height="47.25" align-x="304.5" align-y="4296" 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:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:lessThan/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>-1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> <ml:real>0</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="127"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial" charset="0" size="10">.</f> </inlineAttr> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">Это означает, что</f> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">, </inlineAttr> </f> <f family="Arial" charset="0">y'(Pi/2) <>1! </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">Следовательно</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="10"> <inlineAttr font-style="normal" underline="false">, </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">какой бы</inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr font-style="normal" underline="false"> <sp/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">коэффициент </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr underline="false">В</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false"> мы не выбирали, полученное таким образом решение заданным краевым условиям удовлетворять не будет. Представим решение как функцию параметра </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr underline="false">В</inlineAttr> </f> </text> </region> <region region-id="1554" left="30" top="4408.5" width="193.5" height="33.75" align-x="70.5" align-y="4428" 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">y</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">B</ml:id> </ml:boundVars> </ml:function> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">B</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="128"/> </region> <region region-id="1553" left="306" top="4395" width="138.75" height="47.25" align-x="388.5" align-y="4428" 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:mult style="default"/> <ml:apply> <ml:div/> <ml:real>-1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-0.603939788175381</ml:real> </result> </ml:eval> </math> <rendering item-idref="129"/> </region> <region region-id="1808" left="30" top="4458" width="483" height="54.75" align-x="30" align-y="4470" 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">и построим графики y(t,B) для разных </f> <f family="Arial Cyr" charset="204" size="12"> В. </f> <f family="Arial Cyr" charset="204" size="12"> Все эти и другие кривые в точке t=pi/2, будут иметь одну и ту же касательную с угловым коэффициентом - 0,6039. Кроме этого у</f> <f family="Arial Cyr" charset="204" size="12">множества решений </f> <f family="Arial Cyr" charset="204" size="12">y(t,B) есть стационарная точка t=pi, через которую проходит каж-</f> <f family="Arial Cyr" charset="204" size="12">дая кривая этого семейства.</f> </text> </region> <region region-id="1556" left="36" top="4560" width="251.25" height="139.5" align-x="36" align-y="4560" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="130"/> <rendering item-idref="131"/> </region> <region region-id="1679" left="18" top="4734" width="490.5" height="31.5" align-x="18" align-y="4746" 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">Сформулируем запись граничных условий</f> <f family="Arial" charset="0" size="12">: </f> <region region-id="1564" left="252" top="4734.75" width="50.25" height="17.25" align-x="285.75" align-y="4746" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="132"/> </region> <f family="Arial" charset="0" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ,<sp count="2"/> </inlineAttr> </f> <region region-id="1565" left="318" top="4734.75" width="59.25" height="17.25" align-x="360.75" align-y="4746" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="133"/> </region> <f family="Arial" charset="0" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">и найдем коэффициенты альфа и бетта для участка k=0</inlineAttr> </f> </text> </region> <region region-id="1826" left="24" top="4782" width="51" height="18" align-x="58.5" align-y="4794" 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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="134"/> </region> <region region-id="1827" left="102" top="4782" width="51" height="18" align-x="136.5" align-y="4794" 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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="135"/> </region> <region region-id="1828" left="180" top="4782" width="49.5" height="18" align-x="213.75" align-y="4794" 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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:define> </math> <rendering item-idref="136"/> </region> <region region-id="1829" left="258" top="4782" width="50.25" height="18" align-x="291.75" align-y="4794" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="137"/> </region> <region region-id="1830" left="24" top="4806.75" width="420.75" height="13.5" align-x="24" align-y="4818" 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">На участке k=0 решение и его производная будут определяться уравнениями</f> </text> </region> <region region-id="1831" left="18" top="4853.25" width="468.75" height="18.75" align-x="18" align-y="4866" 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" charset="0" size="12"> <sp/> </f> <f family="Arial" charset="0" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> <region region-id="1570" left="24" top="4854" width="131.25" height="18" align-x="54.75" align-y="4866" 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">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="138"/> </region> <f family="Arial" charset="0" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>,<sp count="4"/> </inlineAttr> </f> <region region-id="1571" left="180" top="4854" width="131.25" height="18" align-x="210.75" align-y="4866" 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">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="139"/> </region> <f family="Arial" charset="0" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/> </inlineAttr> </f> <f family="Arial" charset="0" size="12"> <sp/> </f> </text> </region> <region region-id="1832" left="24" top="4884.75" width="466.5" height="46.5" align-x="24" align-y="4896" 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">Так как Z</f> <f family="Arial Cyr" charset="204" size="12"> 1,0 </f> <f family="Arial Cyr" charset="204" size="12"> неизвестно на начальном этапе и задается только как граничное условие </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 1,k </f> <f family="Arial Cyr" charset="204" size="12"> в конце траектории описывающей решение, то, используя уранение (7), для </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 1,0 </f> <f family="Arial Cyr" charset="204" size="12">получим</f> </text> </region> <region region-id="1654" left="138" top="4958.25" width="128.25" height="38.25" align-x="171.75" align-y="4980" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="140"/> </region> <region region-id="1665" left="312" top="4963.5" width="111" height="22.5" align-x="344.25" align-y="4980" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>6138388362.3151617</ml:real> </result> </ml:eval> </math> <rendering item-idref="141"/> </region> <region region-id="1833" left="36" top="5010.75" width="433.5" height="27" align-x="36" align-y="5022" 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">Проведем визуализацию значений коэффициентов альфа и бетта, которые они</f> <f family="Arial Cyr" charset="204" size="12">принимают в конце интервала (траектории)</f> </text> </region> <region region-id="1841" left="42" top="5058" width="64.5" height="18" align-x="84" align-y="5070" 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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0000000000908043</ml:real> </result> </ml:eval> </math> <rendering item-idref="142"/> </region> <region region-id="1840" left="120" top="5053.5" width="128.25" height="22.5" align-x="162" align-y="5070" 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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.6129656402994195E-10</ml:real> </result> </ml:eval> </math> <rendering item-idref="143"/> </region> <region region-id="1839" left="264" top="5058" width="90.75" height="18" align-x="305.25" align-y="5070" 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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.60393978861178022</ml:real> </result> </ml:eval> </math> <rendering item-idref="144"/> </region> <region region-id="1838" left="366" top="5058" width="97.5" height="18" align-x="407.25" align-y="5070" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-0.6039397877543341</ml:real> </result> </ml:eval> </math> <rendering item-idref="145"/> </region> <region region-id="1847" left="30" top="5094.75" width="407.25" height="30" align-x="30" align-y="5106" 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">Также вычислим вектор решения {Y</f> <f family="Arial Cyr" charset="204" size="12"> 0,k </f> <f family="Arial Cyr" charset="204" size="12">}<sp count="2"/>и вектор его производной<sp count="2"/>{Y</f> <f family="Arial Cyr" charset="204" size="12"> 1,k </f> <f family="Arial Cyr" charset="204" size="12">} по </f> <f family="Arial Cyr" charset="204" size="12">уравнению (7)</f> </text> </region> <region region-id="1844" left="42" top="5142.75" width="60" height="15.75" align-x="57.75" align-y="5154" 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">KK</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="146"/> </region> <region region-id="1845" left="132" top="5142" width="136.5" height="18" align-x="165.75" align-y="5154" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="147"/> </region> <region region-id="1846" left="282" top="5142" width="136.5" height="18" align-x="315.75" align-y="5154" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="148"/> </region> <region region-id="1848" left="42" top="5178.75" width="246" height="13.5" align-x="42" align-y="5190" 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">с покомпонентной визуализацией их значений</f> </text> </region> <region region-id="1853" left="90" top="5203.5" width="132" height="22.5" align-x="143.25" align-y="5220" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">KK</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>9642154.9240893759</ml:real> </result> </ml:eval> </math> <rendering item-idref="149"/> </region> <region region-id="1854" left="246" top="5208.75" width="63.75" height="17.25" align-x="287.25" align-y="5220" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="150"/> </region> <region region-id="1855" left="42" top="5268.75" width="175.5" height="16.5" align-x="42" align-y="5280" 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">Построим графики </f> <f family="Arial Cyr" charset="204" size="12">{Y</f> <f family="Arial Cyr" charset="204" size="12"> 0,k </f> <f family="Arial Cyr" charset="204" size="12">} и </f> <f family="Arial Cyr" charset="204" size="12">{Y</f> <f family="Arial Cyr" charset="204" size="12"> 1,k </f> <f family="Arial Cyr" charset="204" size="12">}</f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> </text> </region> <region region-id="1559" left="60" top="5310" width="189" height="125.25" align-x="60" align-y="5310" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="151"/> <rendering item-idref="152"/> </region> <region region-id="1858" left="66" top="5490.75" width="312.75" height="13.5" align-x="66" align-y="5502" 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">И распечатаем матрицу Y для визуализального контроля.</f> </text> </region> <region region-id="1856" left="36" top="5537.25" width="380.25" height="39.75" align-x="51.75" align-y="5556" 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">Y</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="2" cols="1001"> <ml:real>1</ml:real> <ml:real>6138388362.3151617</ml:real> <ml:real>9642154.9267866984</ml:real> <ml:real>6138380789.3820686</ml:real> <ml:real>19284285.062514644</ml:real> <ml:real>6138358070.60458</ml:real> <ml:real>28926367.616186224</ml:real> <ml:real>6138320206.0387506</ml:real> <ml:real>38568378.796921238</ml:real> <ml:real>6138267195.7780113</ml:real> <ml:real>48210294.81401559</ml:real> <ml:real>6138199039.9531584</ml:real> <ml:real>57852091.877</ml:real> <ml:real>6138115738.7323589</ml:real> <ml:real>67493746.195698649</ml:real> <ml:real>6138017292.3211489</ml:real> <ml:real>77135233.980288</ml:real> <ml:real>6137903700.9624376</ml:real> <ml:real>86776531.441355348</ml:real> <ml:real>6137774964.9364986</ml:real> <ml:real>96417614.789957672</ml:real> <ml:real>6137631084.560976</ml:real> <ml:real>106058460.23768017</ml:real> <ml:real>6137472060.1908808</ml:real> <ml:real>115699043.99669509</ml:real> <ml:real>6137297892.21859</ml:real> <ml:real>125339342.27982034</ml:real> <ml:real>6137108581.0738449</ml:real> <ml:real>134979331.30057827</ml:real> <ml:real>6136904127.2237511</ml:real> <ml:real>144618987.27325416</ml:real> <ml:real>6136684531.17278</ml:real> <ml:real>154258286.41295531</ml:real> <ml:real>6136449793.4627619</ml:real> <ml:real>163897204.93566915</ml:real> <ml:real>6136199914.6728888</ml:real> <ml:real>173535719.05832252</ml:real> <ml:real>6135934895.419713</ml:real> <ml:real>183173804.99883995</ml:real> <ml:real>6135654736.3571424</ml:real> <ml:real>192811438.97620246</ml:real> <ml:real>6135359438.1764412</ml:real> <ml:real>202448597.21050623</ml:real> <ml:real>6135049001.6062279</ml:real> <ml:real>212085255.92302141</ml:real> <ml:real>6134723427.4124756</ml:real> <ml:real>221721391.33625054</ml:real> <ml:real>6134382716.3985052</ml:real> <ml:real>231356979.67398733</ml:real> <ml:real>6134026869.4049864</ml:real> <ml:real>240991997.16137555</ml:real> <ml:real>6133655887.3099384</ml:real> <ml:real>250626420.02496725</ml:real> <ml:real>6133269771.0287209</ml:real> <ml:real>260260224.49278179</ml:real> <ml:real>6132868521.5140381</ml:real> <ml:real>269893386.79436427</ml:real> <ml:real>6132452139.7559338</ml:real> <ml:real>279525883.16084439</ml:real> <ml:real>6132020626.7817879</ml:real> <ml:real>289157689.8249948</ml:real> <ml:real>6131573983.6563158</ml:real> <ml:real>298788783.02129012</ml:real> <ml:real>6131112211.4815655</ml:real> <ml:real>308419138.98596531</ml:real> <ml:real>6130635311.3969135</ml:real> <ml:real>318048733.95707434</ml:real> <ml:real>6130143284.5790634</ml:real> <ml:real>327677544.17454892</ml:real> <ml:real>6129636132.2420416</ml:real> <ml:real>337305545.88025689</ml:real> <ml:real>6129113855.6371984</ml:real> <ml:real>346932715.31806123</ml:real> <ml:real>6128576456.0531969</ml:real> <ml:real>356559028.73387825</ml:real> <ml:real>6128023934.8160191</ml:real> <ml:real>366184462.37573671</ml:real> <ml:real>6127456293.2889547</ml:real> <ml:real>375808992.49383587</ml:real> <ml:real>6126873532.8726053</ml:real> <ml:real>385432595.34060436</ml:real> <ml:real>6126275655.00487</ml:real> <ml:real>395055247.17075896</ml:real> <ml:real>6125662661.1609564</ml:real> <ml:real>404676924.24136269</ml:real> <ml:real>6125034552.8533649</ml:real> <ml:real>414297602.811884</ml:real> <ml:real>6124391331.6318913</ml:real> <ml:real>423917259.14425474</ml:real> <ml:real>6123732999.0836182</ml:real> <ml:real>433535869.50292915</ml:real> <ml:real>6123059556.8329163</ml:real> <ml:real>443153410.15494251</ml:real> <ml:real>6122371006.5414391</ml:real> <ml:real>452769857.36996919</ml:real> <ml:real>6121667349.9081135</ml:real> <ml:real>462385187.42038161</ml:real> <ml:real>6120948588.6691437</ml:real> <ml:real>471999376.58130878</ml:real> <ml:real>6120214724.5980015</ml:real> <ml:real>481612401.13069469</ml:real> <ml:real>6119465759.5054235</ml:real> <ml:real>491224237.34935683</ml:real> <ml:real>6118701695.2394056</ml:real> <ml:real>500834861.52104491</ml:real> <ml:real>6117922533.6852016</ml:real> <ml:real>510444249.932499</ml:real> <ml:real>6117128276.7653151</ml:real> <ml:real>520052378.87350857</ml:real> <ml:real>6116318926.439496</ml:real> <ml:real>529659224.63697052</ml:real> <ml:real>6115494484.7047358</ml:real> <ml:real>539264763.518948</ml:real> <ml:real>6114654953.5952635</ml:real> <ml:real>548868971.81872857</ml:real> <ml:real>6113800335.1825361</ml:real> <ml:real>558471825.83888316</ml:real> <ml:real>6112930631.575242</ml:real> <ml:real>568073301.88532376</ml:real> <ml:real>6112045844.9192886</ml:real> <ml:real>577673376.267363</ml:real> <ml:real>6111145977.3977966</ml:real> <ml:real>587272025.29777145</ml:real> <ml:real>6110231031.231101</ml:real> <ml:real>596869225.292837</ml:real> <ml:real>6109301008.6767416</ml:real> <ml:real>606464952.57242262</ml:real> <ml:real>6108355912.0294533</ml:real> <ml:real>616059183.460025</ml:real> <ml:real>6107395743.621172</ml:real> <ml:real>625651894.28283334</ml:real> <ml:real>6106420505.8210154</ml:real> <ml:real>635243061.37178719</ml:real> <ml:real>6105430201.0352879</ml:real> <ml:real>644832661.06163538</ml:real> <ml:real>6104424831.7074661</ml:real> <ml:real>654420669.69099379</ml:real> <ml:real>6103404400.3181982</ml:real> <ml:real>664007063.60240412</ml:real> <ml:real>6102368909.3853006</ml:real> <ml:real>673591819.14239252</ml:real> <ml:real>6101318361.4637423</ml:real> <ml:real>683174912.66152763</ml:real> <ml:real>6100252759.1456442</ml:real> <ml:real>692756320.51447868</ml:real> <ml:real>6099172105.0602779</ml:real> <ml:real>702336019.06007409</ml:real> <ml:real>6098076401.8740454</ml:real> <ml:real>711913984.66136026</ml:real> <ml:real>6096965652.2904892</ml:real> <ml:real>721490193.685659</ml:real> <ml:real>6095839859.050272</ml:real> <ml:real>731064622.50462663</ml:real> <ml:real>6094699024.9311762</ml:real> <ml:real>740637247.49431181</ml:real> <ml:real>6093543152.7480984</ml:real> <ml:real>750208045.03521383</ml:real> <ml:real>6092372245.3530359</ml:real> <ml:real>759776991.51234138</ml:real> <ml:real>6091186305.635088</ml:real> <ml:real>769344063.31527007</ml:real> <ml:real>6089985336.5204439</ml:real> <ml:real>778909236.83820128</ml:real> <ml:real>6088769340.9723711</ml:real> <ml:real>788472488.48002028</ml:real> <ml:real>6087538321.9912243</ml:real> <ml:real>798033794.64435446</ml:real> <ml:real>6086292282.6144142</ml:real> <ml:real>807593131.73963094</ml:real> <ml:real>6085031225.9164248</ml:real> <ml:real>817150476.179136</ml:real> <ml:real>6083755155.0087824</ml:real> <ml:real>826705804.38107252</ml:real> <ml:real>6082464073.04007</ml:real> <ml:real>836259092.76861739</ml:real> <ml:real>6081157983.1959009</ml:real> <ml:real>845810317.7699815</ml:real> <ml:real>6079836888.6989241</ml:real> <ml:real>855359455.8184669</ml:real> <ml:real>6078500792.8088064</ml:real> <ml:real>864906483.35252452</ml:real> <ml:real>6077149698.8222332</ml:real> <ml:real>874451376.81581283</ml:real> <ml:real>6075783610.072895</ml:real> <ml:real>883994112.65725613</ml:real> <ml:real>6074402529.9314795</ml:real> <ml:real>893534667.33110237</ml:real> <ml:real>6073006461.8056641</ml:real> <ml:real>903073017.29698122</ml:real> <ml:real>6071595409.1401091</ml:real> <ml:real>912609139.01996255</ml:real> <ml:real>6070169375.4164476</ml:real> <ml:real>922143008.97061384</ml:real> <ml:real>6068728364.1532736</ml:real> <ml:real>931674603.62505865</ml:real> <ml:real>6067272378.9061394</ml:real> <ml:real>941203899.46503484</ml:real> <ml:real>6065801423.2675447</ml:real> <ml:real>950730872.97795224</ml:real> <ml:real>6064315500.8669281</ml:real> <ml:real>960255500.65695035</ml:real> <ml:real>6062814615.3706532</ml:real> <ml:real>969777759.00095773</ml:real> <ml:real>6061298770.4820061</ml:real> <ml:real>979297624.51474833</ml:real> <ml:real>6059767969.941184</ml:real> <ml:real>988815073.70900011</ml:real> <ml:real>6058222217.5252838</ml:real> <ml:real>998330083.1003536</ml:real> <ml:real>6056661517.0482969</ml:real> <ml:real>1007842629.2114687</ml:real> <ml:real>6055085872.3610964</ml:real> <ml:real>1017352688.5710836</ml:real> <ml:real>6053495287.351429</ml:real> <ml:real>1026860237.7140724</ml:real> <ml:real>6051889765.9439049</ml:real> <ml:real>1036365253.1815025</ml:real> <ml:real>6050269312.0999889</ml:real> <ml:real>1045867711.5206933</ml:real> <ml:real>6048633929.8179913</ml:real> <ml:real>1055367589.2852733</ml:real> <ml:real>6046983623.1330519</ml:real> <ml:real>1064864863.0352384</ml:real> <ml:real>6045318396.11714</ml:real> <ml:real>1074359509.3370102</ml:real> <ml:real>6043638252.8790379</ml:real> <ml:real>1083851504.7634921</ml:real> <ml:real>6041943197.564333</ml:real> <ml:real>1093340825.8941295</ml:real> <ml:real>6040233234.3554039</ml:real> <ml:real>1102827449.3149655</ml:real> <ml:real>6038508367.4714174</ml:real> <ml:real>1112311351.6187003</ml:real> <ml:real>6036768601.1683083</ml:real> <ml:real>1121792509.4047473</ml:real> <ml:real>6035013939.7387781</ml:real> <ml:real>1131270899.2792924</ml:real> <ml:real>6033244387.5122795</ml:real> <ml:real>1140746497.8553503</ml:real> <ml:real>6031459948.8550062</ml:real> <ml:real>1150219281.7528241</ml:real> <ml:real>6029660628.1698847</ml:real> <ml:real>1159689227.5985611</ml:real> <ml:real>6027846429.8965588</ml:real> <ml:real>1169156312.0264111</ml:real> <ml:real>6026017358.5113831</ml:real> <ml:real>1178620511.6772845</ml:real> <ml:real>6024173418.5274076</ml:real> <ml:real>1188081803.1992095</ml:real> <ml:real>6022314614.4943724</ml:real> <ml:real>1197540163.2473896</ml:real> <ml:real>6020440950.9986916</ml:real> <ml:real>1206995568.4842618</ml:real> <ml:real>6018552432.6634426</ml:real> <ml:real>1216447995.5795534</ml:real> <ml:real>6016649064.1483583</ml:real> <ml:real>1225897421.2103407</ml:real> <ml:real>6014730850.1498117</ml:real> <ml:real>1235343822.0611045</ml:real> <ml:real>6012797795.4008026</ml:real> <ml:real>1244787174.8237906</ml:real> <ml:real>6010849904.6709528</ml:real> <ml:real>1254227456.1978645</ml:real> <ml:real>6008887182.76649</ml:real> <ml:real>1263664642.8903704</ml:real> <ml:real>6006909634.5302334</ml:real> <ml:real>1273098711.6159878</ml:real> <ml:real>6004917264.841588</ml:real> <ml:real>1282529639.09709</ml:real> <ml:real>6002910078.6165285</ml:real> <ml:real>1291957402.0638015</ml:real> <ml:real>6000888080.8075867</ml:real> <ml:real>1301381977.2540541</ml:real> <ml:real>5998851276.403841</ml:real> <ml:real>1310803341.4136455</ml:real> <ml:real>5996799670.4309034</ml:real> <ml:real>1320221471.2962956</ml:real> <ml:real>5994733267.9509087</ml:real> <ml:real>1329636343.6637063</ml:real> <ml:real>5992652074.0625</ml:real> <ml:real>1339047935.285615</ml:real> <ml:real>5990556093.9008141</ml:real> <ml:real>1348456222.9398553</ml:real> <ml:real>5988445332.637476</ml:real> <ml:real>1357861183.4124126</ml:real> <ml:real>5986319795.4805775</ml:real> <ml:real>1367262793.4974818</ml:real> <ml:real>5984179487.6746712</ml:real> <ml:real>1376661029.9975247</ml:real> <ml:real>5982024414.5007544</ml:real> <ml:real>1386055869.7233269</ml:real> <ml:real>5979854581.2762547</ml:real> <ml:real>1395447289.4940553</ml:real> <ml:real>5977669993.3550215</ml:real> <ml:real>1404835266.1373155</ml:real> <ml:real>5975470656.127306</ml:real> <ml:real>1414219776.489208</ml:real> <ml:real>5973256575.0197573</ml:real> <ml:real>1423600797.3943865</ml:real> <ml:real>5971027755.4953976</ml:real> <ml:real>1432978305.7061145</ml:real> <ml:real>5968784203.0536184</ml:real> <ml:real>1442352278.2863228</ml:real> <ml:real>5966525923.2301626</ml:real> <ml:real>1451722692.0056655</ml:real> <ml:real>5964252921.5971107</ml:real> <ml:real>1461089523.743578</ml:real> <ml:real>5961965203.7628689</ml:real> <ml:real>1470452750.3883345</ml:real> <ml:real>5959662775.3721542</ml:real> <ml:real>1479812348.8371041</ml:real> <ml:real>5957345642.105979</ml:real> <ml:real>1489168295.9960079</ml:real> <ml:real>5955013809.6816387</ml:real> <ml:real>1498520568.7801762</ml:real> <ml:real>5952667283.8526983</ml:real> <ml:real>1507869144.1138058</ml:real> <ml:real>5950306070.4089766</ml:real> <ml:real>1517213998.9302163</ml:real> <ml:real>5947930175.1765347</ml:real> <ml:real>1526555110.1719077</ml:real> <ml:real>5945539604.0176563</ml:real> <ml:real>1535892454.790616</ml:real> <ml:real>5943134362.8308392</ml:real> <ml:real>1545226009.7473719</ml:real> <ml:real>5940714457.5507755</ml:real> <ml:real>1554555752.0125561</ml:real> <ml:real>5938279894.148344</ml:real> <ml:real>1563881658.5659576</ml:real> <ml:real>5935830678.6305847</ml:real> <ml:real>1573203706.3968287</ml:real> <ml:real>5933366817.0406933</ml:real> <ml:real>1582521872.5039427</ml:real> <ml:real>5930888315.4580059</ml:real> <ml:real>1591836133.8956518</ml:real> <ml:real>5928395179.9979763</ml:real> <ml:real>1601146467.5899415</ml:real> <ml:real>5925887416.812171</ml:real> <ml:real>1610452850.6144891</ml:real> <ml:real>5923365032.0882444</ml:real> <ml:real>1619755260.0067191</ml:real> <ml:real>5920828032.04993</ml:real> <ml:real>1629053672.8138616</ml:real> <ml:real>5918276422.9570236</ml:real> <ml:real>1638348066.0930073</ml:real> <ml:real>5915710211.1053677</ml:real> <ml:real>1647638416.9111643</ml:real> <ml:real>5913129402.8268347</ml:real> <ml:real>1656924702.3453159</ml:real> <ml:real>5910534004.4893122</ml:real> <ml:real>1666206899.4824755</ml:real> <ml:real>5907924022.496686</ml:real> <ml:real>1675484985.419745</ml:real> <ml:real>5905299463.2888308</ml:real> <ml:real>1684758937.264369</ml:real> <ml:real>5902660333.3415823</ml:real> <ml:real>1694028732.1337938</ml:real> <ml:real>5900006639.1667328</ml:real> <ml:real>1703294347.1557219</ml:real> <ml:real>5897338387.31201</ml:real> <ml:real>1712555759.4681692</ml:real> <ml:real>5894655584.3610573</ml:real> <ml:real>1721812946.2195213</ml:real> <ml:real>5891958236.9334259</ml:real> <ml:real>1731065884.5685906</ml:real> <ml:real>5889246351.6845522</ml:real> <ml:real>1740314551.6846709</ml:real> <ml:real>5886519935.3057442</ml:real> <ml:real>1749558924.7475958</ml:real> <ml:real>5883778994.5241632</ml:real> <ml:real>1758798980.947794</ml:real> <ml:real>5881023536.1028061</ml:real> <ml:real>1768034697.4863451</ml:real> <ml:real>5878253566.8404942</ml:real> <ml:real>1777266051.5750368</ml:real> <ml:real>5875469093.5718517</ml:real> <ml:real>1786493020.4364204</ml:real> <ml:real>5872670123.16729</ml:real> <ml:real>1795715581.3038678</ml:real> <ml:real>5869856662.5329885</ml:real> <ml:real>1804933711.4216266</ml:real> <ml:real>5867028718.6108828</ml:real> <ml:real>1814147388.0448766</ml:real> <ml:real>5864186298.378644</ml:real> <ml:real>1823356588.4397872</ml:real> <ml:real>5861329408.849659</ml:real> <ml:real>1832561289.8835721</ml:real> <ml:real>5858458057.0730209</ml:real> <ml:real>1841761469.6645453</ml:real> <ml:real>5855572250.1335049</ml:real> <ml:real>1850957105.0821774</ml:real> <ml:real>5852671995.1515522</ml:real> <ml:real>1860148173.4471524</ml:real> <ml:real>5849757299.2832537</ml:real> <ml:real>1869334652.0814228</ml:real> <ml:real>5846828169.7203312</ml:real> <ml:real>1878516518.3182659</ml:real> <ml:real>5843884613.6901207</ml:real> <ml:real>1887693749.5023394</ml:real> <ml:real>5840926638.4555559</ml:real> <ml:real>1896866322.9897375</ml:real> <ml:real>5837954251.3151445</ml:real> <ml:real>1906034216.1480467</ml:real> <ml:real>5834967459.6029568</ml:real> <ml:real>1915197406.3564026</ml:real> <ml:real>5831966270.6886053</ml:real> <ml:real>1924355871.0055444</ml:real> <ml:real>5828950691.9772253</ml:real> <ml:real>1933509587.4978702</ml:real> <ml:real>5825920730.9094563</ml:real> <ml:real>1942658533.2474947</ml:real> <ml:real>5822876394.9614267</ml:real> <ml:real>1951802685.6803041</ml:real> <ml:real>5819817691.6447325</ml:real> <ml:real>1960942022.2340112</ml:real> <ml:real>5816744628.5064211</ml:real> <ml:real>1970076520.3582115</ml:real> <ml:real>5813657213.1289692</ml:real> <ml:real>1979206157.5144391</ml:real> <ml:real>5810555453.1302681</ml:real> <ml:real>1988330911.1762216</ml:real> <ml:real>5807439356.1636009</ml:real> <ml:real>1997450758.8291364</ml:real> <ml:real>5804308929.9176292</ml:real> <ml:real>2006565677.9708662</ml:real> <ml:real>5801164182.1163673</ml:real> <ml:real>2015675646.1112542</ml:real> <ml:real>5798005120.5191679</ml:real> <ml:real>2024780640.7723594</ml:real> <ml:real>5794831752.920701</ml:real> <ml:real>2033880639.4885128</ml:real> <ml:real>5791644087.1509371</ml:real> <ml:real>2042975619.8063712</ml:real> <ml:real>5788442131.0751228</ml:real> <ml:real>2052065559.2849765</ml:real> <ml:real>5785225892.5937681</ml:real> <ml:real>2061150435.4958053</ml:real> <ml:real>5781995379.642622</ml:real> <ml:real>2070230226.0228293</ml:real> <ml:real>5778750600.1926517</ml:real> <ml:real>2079304908.4625676</ml:real> <ml:real>5775491562.25003</ml:real> <ml:real>2088374460.4241433</ml:real> <ml:real>5772218273.8561087</ml:real> <ml:real>2097438859.5293386</ml:real> <ml:real>5768930743.0874</ml:real> <ml:real>2106498083.4126504</ml:real> <ml:real>5765628978.055562</ml:real> <ml:real>2115552109.7213438</ml:real> <ml:real>5762312986.90737</ml:real> <ml:real>2124600916.115509</ml:real> <ml:real>5758982777.8247013</ml:real> <ml:real>2133644480.2681155</ml:real> <ml:real>5755638359.024519</ml:real> <ml:real>2142682779.8650687</ml:real> <ml:real>5752279738.7588406</ml:real> <ml:real>2151715792.6052613</ml:real> <ml:real>5748906925.31473</ml:real> <ml:real>2160743496.2006335</ml:real> <ml:real>5745519927.0142689</ml:real> <ml:real>2169765868.3762236</ml:real> <ml:real>5742118752.2145386</ml:real> <ml:real>2178782886.8702254</ml:real> <ml:real>5738703409.3075991</ml:real> <ml:real>2187794529.4340425</ml:real> <ml:real>5735273906.72047</ml:real> <ml:real>2196800773.8323417</ml:real> <ml:real>5731830252.9151087</ml:real> <ml:real>2205801597.8431106</ml:real> <ml:real>5728372456.3883867</ml:real> <ml:real>2214796979.2577114</ml:real> <ml:real>5724900525.6720762</ml:real> <ml:real>2223786895.8809342</ml:real> <ml:real>5721414469.33282</ml:real> <ml:real>2232771325.5310531</ml:real> <ml:real>5717914295.9721127</ml:real> <ml:real>2241750246.0398817</ml:real> <ml:real>5714400014.2262888</ml:real> <ml:real>2250723635.2528253</ml:real> <ml:real>5710871632.7664862</ml:real> <ml:real>2259691471.0289388</ml:real> <ml:real>5707329160.2986355</ml:real> <ml:real>2268653731.2409792</ml:real> <ml:real>5703772605.5634365</ml:real> <ml:real>2277610393.7754588</ml:real> <ml:real>5700201977.3363333</ml:real> <ml:real>2286561436.5327048</ml:real> <ml:real>5696617284.4274969</ml:real> <ml:real>2295506837.426909</ml:real> <ml:real>5693018535.6818018</ml:real> <ml:real>2304446574.3861818</ml:real> <ml:real>5689405739.9788008</ml:real> <ml:real>2313380625.3526139</ml:real> <ml:real>5685778906.232708</ml:real> <ml:real>2322308968.2823205</ml:real> <ml:real>5682138043.3923769</ml:real> <ml:real>2331231581.1455035</ml:real> <ml:real>5678483160.4412727</ml:real> <ml:real>2340148441.9265027</ml:real> <ml:real>5674814266.3974581</ml:real> <ml:real>2349059528.6238518</ml:real> <ml:real>5671131370.3135624</ml:real> <ml:real>2357964819.2503281</ml:real> <ml:real>5667434481.2767658</ml:real> <ml:real>2366864291.8330135</ml:real> <ml:real>5663723608.4087763</ml:real> <ml:real>2375757924.4133434</ml:real> <ml:real>5659998760.8658018</ml:real> <ml:real>2384645695.0471644</ml:real> <ml:real>5656259947.8385334</ml:real> <ml:real>2393527581.8047848</ml:real> <ml:real>5652507178.5521221</ml:real> <ml:real>2402403562.7710333</ml:real> <ml:real>5648740462.2661524</ml:real> <ml:real>2411273616.0453081</ml:real> <ml:real>5644959808.274622</ml:real> <ml:real>2420137719.7416353</ml:real> <ml:real>5641165225.9059181</ml:real> <ml:real>2428995851.9887195</ml:real> <ml:real>5637356724.5227985</ml:real> <ml:real>2437847990.9300003</ml:real> <ml:real>5633534313.5223579</ml:real> <ml:real>2446694114.7237053</ml:real> <ml:real>5629698002.3360176</ml:real> <ml:real>2455534201.5429025</ml:real> <ml:real>5625847800.429493</ml:real> <ml:real>2464368229.5755572</ml:real> <ml:real>5621983717.3027763</ml:real> <ml:real>2473196177.0245824</ml:real> <ml:real>5618105762.4901066</ml:real> <ml:real>2482018022.1078968</ml:real> <ml:real>5614213945.5599537</ml:real> <ml:real>2490833743.0584741</ml:real> <ml:real>5610308276.1149874</ml:real> <ml:real>2499643318.1243978</ml:real> <ml:real>5606388763.79206</ml:real> <ml:real>2508446725.5689187</ml:real> <ml:real>5602455418.2621775</ml:real> <ml:real>2517243943.6705041</ml:real> <ml:real>5598508249.2304783</ml:real> <ml:real>2526034950.7228918</ml:real> <ml:real>5594547266.4362125</ml:real> <ml:real>2534819725.0351472</ml:real> <ml:real>5590572479.652709</ml:real> <ml:real>2543598244.9317112</ml:real> <ml:real>5586583898.68736</ml:real> <ml:real>2552370488.75246</ml:real> <ml:real>5582581533.3815928</ml:real> <ml:real>2561136434.8527532</ml:real> <ml:real>5578565393.6108446</ml:real> <ml:real>2569896061.6034913</ml:real> <ml:real>5574535489.284543</ml:real> <ml:real>2578649347.3911653</ml:real> <ml:real>5570491830.3460741</ml:real> <ml:real>2587396270.6179128</ml:real> <ml:real>5566434426.7727661</ml:real> <ml:real>2596136809.70157</ml:real> <ml:real>5562363288.5758581</ml:real> <ml:real>2604870943.075726</ml:real> <ml:real>5558278425.80048</ml:real> <ml:real>2613598649.1897745</ml:real> <ml:real>5554179848.5256233</ml:real> <ml:real>2622319906.5089684</ml:real> <ml:real>5550067566.8641205</ml:real> <ml:real>2631034693.514472</ml:real> <ml:real>5545941590.9626169</ml:real> <ml:real>2639742988.7034154</ml:real> <ml:real>5541801931.00155</ml:real> <ml:real>2648444770.5889454</ml:real> <ml:real>5537648597.195117</ml:real> <ml:real>2657140017.7002807</ml:real> <ml:real>5533481599.7912588</ml:real> <ml:real>2665828708.5827622</ml:real> <ml:real>5529300949.0716248</ml:real> <ml:real>2674510821.79791</ml:real> <ml:real>5525106655.3515558</ml:real> <ml:real>2683186335.9234729</ml:real> <ml:real>5520898728.9800549</ml:real> <ml:real>2691855229.5534816</ml:real> <ml:real>5516677180.3397608</ml:real> <ml:real>2700517481.2983031</ml:real> <ml:real>5512442019.8469276</ml:real> <ml:real>2709173069.7846923</ml:real> <ml:real>5508193257.9513922</ml:real> <ml:real>2717821973.6558447</ml:real> <ml:real>5503930905.1365509</ml:real> <ml:real>2726464171.5714507</ml:real> <ml:real>5499654971.9193363</ml:real> <ml:real>2735099642.2077451</ml:real> <ml:real>5495365468.8501883</ml:real> <ml:real>2743728364.2575631</ml:real> <ml:real>5491062406.51303</ml:real> <ml:real>2752350316.4303904</ml:real> <ml:real>5486745795.525239</ml:real> <ml:real>2760965477.4524169</ml:real> <ml:real>5482415646.5376244</ml:real> <ml:real>2769573826.0665903</ml:real> <ml:real>5478071970.2343988</ml:real> <ml:real>2778175341.0326648</ml:real> <ml:real>5473714777.3331509</ml:real> <ml:real>2786770001.1272588</ml:real> <ml:real>5469344078.58482</ml:real> <ml:real>2795357785.1439013</ml:real> <ml:real>5464959884.773674</ml:real> <ml:real>2803938671.89309</ml:real> <ml:real>5460562206.7172709</ml:real> <ml:real>2812512640.2023396</ml:real> <ml:real>5456151055.266448</ml:real> <ml:real>2821079668.916235</ml:real> <ml:real>5451726441.3052816</ml:real> <ml:real>2829639736.8964853</ml:real> <ml:real>5447288375.7510681</ml:real> <ml:real>2838192823.0219736</ml:real> <ml:real>5442836869.5542917</ml:real> <ml:real>2846738906.1888094</ml:real> <ml:real>5438371933.6986</ml:real> <ml:real>2855277965.3103828</ml:real> <ml:real>5433893579.20078</ml:real> <ml:real>2863809979.3174138</ml:real> <ml:real>5429401817.1107273</ml:real> <ml:real>2872334927.1580067</ml:real> <ml:real>5424896658.5114164</ml:real> <ml:real>2880852787.7977</ml:real> <ml:real>5420378114.51888</ml:real> <ml:real>2889363540.2195182</ml:real> <ml:real>5415846196.2821751</ml:real> <ml:real>2897867163.4240265</ml:real> <ml:real>5411300914.9833593</ml:real> <ml:real>2906363636.4293804</ml:real> <ml:real>5406742281.8374624</ml:real> <ml:real>2914852938.2713766</ml:real> <ml:real>5402170308.09246</ml:real> <ml:real>2923335048.0035071</ml:real> <ml:real>5397585005.0292406</ml:real> <ml:real>2931809944.6970096</ml:real> <ml:real>5392986383.961586</ml:real> <ml:real>2940277607.4409184</ml:real> <ml:real>5388374456.2361345</ml:real> <ml:real>2948738015.3421178</ml:real> <ml:real>5383749233.23236</ml:real> <ml:real>2957191147.5253925</ml:real> <ml:real>5379110726.3625422</ml:real> <ml:real>2965636983.1334786</ml:real> <ml:real>5374458947.0717325</ml:real> <ml:real>2974075501.327117</ml:real> <ml:real>5369793906.8377371</ml:real> <ml:real>2982506681.2851019</ml:real> <ml:real>5365115617.1710758</ml:real> <ml:real>2990930502.2043362</ml:real> <ml:real>5360424089.6149654</ml:real> <ml:real>2999346943.2998786</ml:real> <ml:real>5355719335.7452841</ml:real> <ml:real>3007755983.8049965</ml:real> <ml:real>5351001367.1705437</ml:real> <ml:real>3016157602.9712191</ml:real> <ml:real>5346270195.5318623</ml:real> <ml:real>3024551780.068387</ml:real> <ml:real>5341525832.5029354</ml:real> <ml:real>3032938494.3847017</ml:real> <ml:real>5336768289.7900085</ml:real> <ml:real>3041317725.22678</ml:real> <ml:real>5331997579.1318436</ml:real> <ml:real>3049689451.9197016</ml:real> <ml:real>5327213712.2996969</ml:real> <ml:real>3058053653.8070641</ml:real> <ml:real>5322416701.0972824</ml:real> <ml:real>3066410310.2510309</ml:real> <ml:real>5317606557.3607492</ml:real> <ml:real>3074759400.6323833</ml:real> <ml:real>5312783292.9586487</ml:real> <ml:real>3083100904.3505688</ml:real> <ml:real>5307946919.7919083</ml:real> <ml:real>3091434800.8237586</ml:real> <ml:real>5303097449.7937946</ml:real> <ml:real>3099761069.4888892</ml:real> <ml:real>5298234894.9298944</ml:real> <ml:real>3108079689.8017225</ml:real> <ml:real>5293359267.1980791</ml:real> <ml:real>3116390641.2368894</ml:real> <ml:real>5288470578.6284733</ml:real> <ml:real>3124693903.2879424</ml:real> <ml:real>5283568841.2834339</ml:real> <ml:real>3132989455.4674087</ml:real> <ml:real>5278654067.2575064</ml:real> <ml:real>3141277277.3068376</ml:real> <ml:real>5273726268.67741</ml:real> <ml:real>3149557348.3568525</ml:real> <ml:real>5268785457.7019958</ml:real> <ml:real>3157829648.1872005</ml:real> <ml:real>5263831646.5222263</ml:real> <ml:real>3166094156.3868055</ml:real> <ml:real>5258864847.3611345</ml:real> <ml:real>3174350852.5638151</ml:real> <ml:real>5253885072.4738064</ml:real> <ml:real>3182599716.3456507</ml:real> <ml:real>5248892334.1473408</ml:real> <ml:real>3190840727.3790627</ml:real> <ml:real>5243886644.7008238</ml:real> <ml:real>3199073865.3301749</ml:real> <ml:real>5238868016.4852943</ml:real> <ml:real>3207299109.8845372</ml:real> <ml:real>5233836461.88372</ml:real> <ml:real>3215516440.7471766</ml:real> <ml:real>5228791993.3109636</ml:real> <ml:real>3223725837.6426458</ml:real> <ml:real>5223734623.213747</ml:real> <ml:real>3231927280.3150759</ml:real> <ml:real>5218664364.07063</ml:real> <ml:real>3240120748.52822</ml:real> <ml:real>5213581228.3919716</ml:real> <ml:real>3248306222.0655117</ml:real> <ml:real>5208485228.7199049</ml:real> <ml:real>3256483680.7301068</ml:real> <ml:real>5203376377.6283016</ml:real> <ml:real>3264653104.3449411</ml:real> <ml:real>5198254687.722744</ml:real> <ml:real>3272814472.7527719</ml:real> <ml:real>5193120171.6404943</ml:real> <ml:real>3280967765.8162346</ml:real> <ml:real>5187972842.0504589</ml:real> <ml:real>3289112963.41789</ml:real> <ml:real>5182812711.653162</ml:real> <ml:real>3297250045.4602723</ml:real> <ml:real>5177639793.1807137</ml:real> <ml:real>3305378991.865941</ml:real> <ml:real>5172454099.3967752</ml:real> <ml:real>3313499782.5775275</ml:real> <ml:real>5167255643.09653</ml:real> <ml:real>3321612397.5577888</ml:real> <ml:real>5162044437.1066532</ml:real> <ml:real>3329716816.7896538</ml:real> <ml:real>5156820494.2852764</ml:real> <ml:real>3337813020.2762733</ml:real> <ml:real>5151583827.5219593</ml:real> <ml:real>3345900988.04107</ml:real> <ml:real>5146334449.7376575</ml:real> <ml:real>3353980700.1277885</ml:real> <ml:real>5141072373.8846884</ml:real> <ml:real>3362052136.6005421</ml:real> <ml:real>5135797612.946701</ml:real> <ml:real>3370115277.5438633</ml:real> <ml:real>5130510179.9386435</ml:real> <ml:real>3378170103.0627532</ml:real> <ml:real>5125210087.9067326</ml:real> <ml:real>3386216593.2827306</ml:real> <ml:real>5119897349.9284163</ml:real> <ml:real>3394254728.3498807</ml:real> <ml:real>5114571979.1123486</ml:real> <ml:real>3402284488.4309049</ml:real> <ml:real>5109233988.5983534</ml:real> <ml:real>3410305853.7131677</ml:real> <ml:real>5103883391.55739</ml:real> <ml:real>3418318804.4047484</ml:real> <ml:real>5098520201.1915255</ml:real> <ml:real>3426323320.7344866</ml:real> <ml:real>5093144430.7338991</ml:real> <ml:real>3434319382.952035</ml:real> <ml:real>5087756093.44869</ml:real> <ml:real>3442306971.3279052</ml:real> <ml:real>5082355202.6310844</ml:real> <ml:real>3450286066.1535163</ml:real> <ml:real>5076941771.6072445</ml:real> <ml:real>3458256647.7412443</ml:real> <ml:real>5071515813.734272</ml:real> <ml:real>3466218696.4244714</ml:real> <ml:real>5066077342.400178</ml:real> <ml:real>3474172192.5576358</ml:real> <ml:real>5060626371.0238523</ml:real> <ml:real>3482117116.5162749</ml:real> <ml:real>5055162913.0550232</ml:real> <ml:real>3490053448.6970797</ml:real> <ml:real>5049686981.97423</ml:real> <ml:real>3497981169.5179391</ml:real> <ml:real>5044198591.29279</ml:real> <ml:real>3505900259.4179893</ml:real> <ml:real>5038697754.55276</ml:real> <ml:real>3513810698.8576636</ml:real> <ml:real>5033184485.3269072</ml:real> <ml:real>3521712468.3187389</ml:real> <ml:real>5027658797.2186775</ml:real> <ml:real>3529605548.3043847</ml:real> <ml:real>5022120703.8621559</ml:real> <ml:real>3537489919.3392119</ml:real> <ml:real>5016570218.9220371</ml:real> <ml:real>3545365561.9693174</ml:real> <ml:real>5011007356.0935907</ml:real> <ml:real>3553232456.7623372</ml:real> <ml:real>5005432129.1026278</ml:real> <ml:real>3561090584.3074884</ml:real> <ml:real>4999844551.7054682</ml:real> <ml:real>3568939925.2156239</ml:real> <ml:real>4994244637.6889009</ml:real> <ml:real>3576780460.1192751</ml:real> <ml:real>4988632400.8701611</ml:real> <ml:real>3584612169.6727009</ml:real> <ml:real>4983007855.0968809</ml:real> <ml:real>3592435034.5519376</ml:real> <ml:real>4977371014.2470713</ml:real> <ml:real>3600249035.4548426</ml:real> <ml:real>4971721892.2290745</ml:real> <ml:real>3608054153.1011467</ml:real> <ml:real>4966060502.98154</ml:real> <ml:real>3615850368.2324967</ml:real> <ml:real>4960386860.4733791</ml:real> <ml:real>3623637661.6125073</ml:real> <ml:real>4954700978.7037439</ml:real> <ml:real>3631416014.0268059</ml:real> <ml:real>4949002871.7019815</ml:real> <ml:real>3639185406.2830825</ml:real> <ml:real>4943292553.5276041</ml:real> <ml:real>3646945819.2111325</ml:real> <ml:real>4937570038.2702551</ml:real> <ml:real>3654697233.66291</ml:real> <ml:real>4931835340.04967</ml:real> <ml:real>3662439630.5125685</ml:real> <ml:real>4926088473.01565</ml:real> <ml:real>3670172990.6565146</ml:real> <ml:real>4920329451.3480158</ml:real> <ml:real>3677897295.0134506</ml:real> <ml:real>4914558289.2565823</ml:real> <ml:real>3685612524.5244231</ml:real> <ml:real>4908775000.9811163</ml:real> <ml:real>3693318660.1528711</ml:real> <ml:real>4902979600.7913074</ml:real> <ml:real>3701015682.8846707</ml:real> <ml:real>4897172102.9867306</ml:real> <ml:real>3708703573.7281823</ml:real> <ml:real>4891352521.8968086</ml:real> <ml:real>3716382313.7143011</ml:real> <ml:real>4885520871.8807793</ml:real> <ml:real>3724051883.8964987</ml:real> <ml:real>4879677167.3276587</ml:real> <ml:real>3731712265.3508735</ml:real> <ml:real>4873821422.656208</ml:real> <ml:real>3739363439.1761947</ml:real> <ml:real>4867953652.3148937</ml:real> <ml:real>3747005386.4939523</ml:real> <ml:real>4862073870.7818584</ml:real> <ml:real>3754638088.4484005</ml:real> <ml:real>4856182092.5648756</ml:real> <ml:real>3762261526.2066073</ml:real> <ml:real>4850278332.2013245</ml:real> <ml:real>3769875680.9584961</ml:real> <ml:real>4844362604.2581453</ml:real> <ml:real>3777480533.9168983</ml:real> <ml:real>4838434923.33181</ml:real> <ml:real>3785076066.317595</ml:real> <ml:real>4832495304.0482807</ml:real> <ml:real>3792662259.4193645</ml:real> <ml:real>4826543761.0629787</ml:real> <ml:real>3800239094.50403</ml:real> <ml:real>4820580309.0607433</ml:real> <ml:real>3807806552.8765039</ml:real> <ml:real>4814604962.7558022</ml:real> <ml:real>3815364615.8648353</ml:real> <ml:real>4808617736.8917255</ml:real> <ml:real>3822913264.8202543</ml:real> <ml:real>4802618646.2413988</ml:real> <ml:real>3830452481.1172204</ml:real> <ml:real>4796607705.6069832</ml:real> <ml:real>3837982246.1534667</ml:real> <ml:real>4790584929.8198757</ml:real> <ml:real>3845502541.3500466</ml:real> <ml:real>4784550333.7406778</ml:real> <ml:real>3853013348.1513796</ml:real> <ml:real>4778503932.2591534</ml:real> <ml:real>3860514648.0252962</ml:real> <ml:real>4772445740.2942</ml:real> <ml:real>3868006422.4630842</ml:real> <ml:real>4766375772.7938023</ml:real> <ml:real>3875488652.9795361</ml:real> <ml:real>4760294044.7350006</ml:real> <ml:real>3882961321.1129904</ml:real> <ml:real>4754200571.1238575</ml:real> <ml:real>3890424408.4253831</ml:real> <ml:real>4748095366.9954119</ml:real> <ml:real>3897877896.5022864</ml:real> <ml:real>4741978447.4136467</ml:real> <ml:real>3905321766.952961</ml:real> <ml:real>4735849827.4714556</ml:real> <ml:real>3912756001.4103951</ml:real> <ml:real>4729709522.290597</ml:real> <ml:real>3920180581.5313549</ml:real> <ml:real>4723557547.0216637</ml:real> <ml:real>3927595488.9964271</ml:real> <ml:real>4717393916.8440428</ml:real> <ml:real>3935000705.5100651</ml:real> <ml:real>4711218646.96588</ml:real> <ml:real>3942396212.800632</ml:real> <ml:real>4705031752.6240406</ml:real> <ml:real>3949781992.62045</ml:real> <ml:real>4698833249.0840693</ml:real> <ml:real>3957158026.7458405</ml:real> <ml:real>4692623151.64016</ml:real> <ml:real>3964524296.9771729</ml:real> <ml:real>4686401475.6151075</ml:real> <ml:real>3971880785.1389089</ml:real> <ml:real>4680168236.3602819</ml:real> <ml:real>3979227473.0796437</ml:real> <ml:real>4673923449.255579</ml:real> <ml:real>3986564342.6721554</ml:real> <ml:real>4667667129.7093925</ml:real> <ml:real>3993891375.813448</ml:real> <ml:real>4661399293.1585674</ml:real> <ml:real>4001208554.4247956</ml:real> <ml:real>4655119955.0683689</ml:real> <ml:real>4008515860.451787</ml:real> <ml:real>4648829130.9324379</ml:real> <ml:real>4015813275.8643708</ml:real> <ml:real>4642526836.2727585</ml:real> <ml:real>4023100782.6569009</ml:real> <ml:real>4636213086.6396151</ml:real> <ml:real>4030378362.8481779</ml:real> <ml:real>4629887897.611558</ml:real> <ml:real>4037645998.4814963</ml:real> <ml:real>4623551284.7953634</ml:real> <ml:real>4044903671.6246877</ml:real> <ml:real>4617203263.8259926</ml:real> <ml:real>4052151364.3701658</ml:real> <ml:real>4610843850.3665562</ml:real> <ml:real>4059389058.8349681</ml:real> <ml:real>4604473060.1082745</ml:real> <ml:real>4066616737.1608028</ml:real> <ml:real>4598090908.77044</ml:real> <ml:real>4073834381.5140929</ml:real> <ml:real>4591697412.1003771</ml:real> <ml:real>4081041974.086019</ml:real> <ml:real>4585292585.8734007</ml:real> <ml:real>4088239497.0925612</ml:real> <ml:real>4578876445.8927851</ml:real> <ml:real>4095426932.774549</ml:real> <ml:real>4572449007.9897175</ml:real> <ml:real>4102604263.3976974</ml:real> <ml:real>4566010288.023262</ml:real> <ml:real>4109771471.2526579</ml:real> <ml:real>4559560301.8803186</ml:real> <ml:real>4116928538.655057</ml:real> <ml:real>4553099065.4755888</ml:real> <ml:real>4124075447.9455423</ml:real> <ml:real>4546626594.7515316</ml:real> <ml:real>4131212181.4898252</ml:real> <ml:real>4540142905.6783228</ml:real> <ml:real>4138338721.6787276</ml:real> <ml:real>4533648014.2538214</ml:real> <ml:real>4145455050.9282169</ml:real> <ml:real>4527141936.5035267</ml:real> <ml:real>4152561151.67946</ml:real> <ml:real>4520624688.4805412</ml:real> <ml:real>4159657006.398859</ml:real> <ml:real>4514096286.265522</ml:real> <ml:real>4166742597.5780983</ml:real> <ml:real>4507556745.9666567</ml:real> <ml:real>4173817907.7341852</ml:real> <ml:real>4501006083.7196074</ml:real> <ml:real>4180882919.4094949</ml:real> <ml:real>4494444315.6874847</ml:real> <ml:real>4187937615.1718144</ml:real> <ml:real>4487871458.0607977</ml:real> <ml:real>4194981977.6143827</ml:real> <ml:real>4481287527.05742</ml:real> <ml:real>4202015989.355937</ml:real> <ml:real>4474692538.9225445</ml:real> <ml:real>4209039633.040751</ml:real> <ml:real>4468086509.9286518</ml:real> <ml:real>4216052891.3386831</ml:real> <ml:real>4461469456.37546</ml:real> <ml:real>4223055746.9452147</ml:real> <ml:real>4454841394.5898914</ml:real> <ml:real>4230048182.5814962</ml:real> <ml:real>4448202340.92603</ml:real> <ml:real>4237030180.9943881</ml:real> <ml:real>4441552311.7650795</ml:real> <ml:real>4244001724.9565034</ml:real> <ml:real>4434891323.5153284</ml:real> <ml:real>4250962797.2662497</ml:real> <ml:real>4428219392.6121</ml:real> <ml:real>4257913380.7478728</ml:real> <ml:real>4421536535.5177231</ml:real> <ml:real>4264853458.2515</ml:real> <ml:real>4414842768.7214813</ml:real> <ml:real>4271783012.6531796</ml:real> <ml:real>4408138108.73958</ml:real> <ml:real>4278702026.8549252</ml:real> <ml:real>4401422572.1151</ml:real> <ml:real>4285610483.7847562</ml:real> <ml:real>4394696175.4179611</ml:real> <ml:real>4292508366.3967423</ml:real> <ml:real>4387958935.2448788</ml:real> <ml:real>4299395657.6710443</ml:real> <ml:real>4381210868.2193232</ml:real> <ml:real>4306272340.6139555</ml:real> <ml:real>4374451990.99148</ml:real> <ml:real>4313138398.2579441</ml:real> <ml:real>4367682320.238204</ml:real> <ml:real>4319993813.6616945</ml:real> <ml:real>4360901872.6629868</ml:real> <ml:real>4326838569.9101524</ml:real> <ml:real>4354110664.9959087</ml:real> <ml:real>4333672650.11456</ml:real> <ml:real>4347308713.9936008</ml:real> <ml:real>4340496037.4125071</ml:real> <ml:real>4340496036.4391985</ml:real> <ml:real>4347308714.9679613</ml:real> <ml:real>4333672649.1423073</ml:real> <ml:real>4354110665.9713192</ml:real> <ml:real>4326838568.9389582</ml:real> <ml:real>4360901873.6394405</ml:real> <ml:real>4319993812.6915627</ml:real> <ml:real>4367682321.2156992</ml:real> <ml:real>4313138397.2888784</ml:real> <ml:real>4374451991.9700117</ml:real> <ml:real>4306272339.64596</ml:real> <ml:real>4381210869.19889</ml:real> <ml:real>4299395656.7041216</ml:real> <ml:real>4387958936.2254744</ml:real> <ml:real>4292508365.4308972</ml:real> <ml:real>4394696176.3995838</ml:real> <ml:real>4285610482.8199916</ml:real> <ml:real>4401422573.0977459</ml:real> <ml:real>4278702025.8912454</ml:real> <ml:real>4408138109.7232456</ml:real> <ml:real>4271783011.690588</ml:real> <ml:real>4414842769.7061634</ml:real> <ml:real>4264853457.29</ml:real> <ml:real>4421536536.503417</ml:real> <ml:real>4257913379.7874684</ml:real> <ml:real>4428219393.5988035</ml:real> <ml:real>4250962796.3069439</ml:real> <ml:real>4434891324.5030355</ml:real> <ml:real>4244001723.998301</ml:real> <ml:real>4441552312.7537889</ml:real> <ml:real>4237030180.0372925</ml:real> <ml:real>4448202341.9157362</ml:real> <ml:real>4230048181.62551</ml:real> <ml:real>4454841395.5805931</ml:real> <ml:real>4223055745.9903421</ml:real> <ml:real>4461469457.3671532</ml:real> <ml:real>4216052890.3849282</ml:real> <ml:real>4468086510.9213314</ml:real> <ml:real>4209039632.0881171</ml:real> <ml:real>4474692539.9162092</ml:real> <ml:real>4202015988.404428</ml:real> <ml:real>4481287528.0520639</ml:real> <ml:real>4194981976.6640024</ml:real> <ml:real>4487871459.0564194</ml:real> <ml:real>4187937614.2225652</ml:real> <ml:real>4494444316.68408</ml:real> <ml:real>4180882918.4613805</ml:real> <ml:real>4501006084.7171726</ml:real> <ml:real>4173817906.7872095</ml:real> <ml:real>4507556746.965188</ml:real> <ml:real>4166742596.6322656</ml:real> <ml:real>4514096287.2650175</ml:real> <ml:real>4159657005.4541736</ml:real> <ml:real>4520624689.4809952</ml:real> <ml:real>4152561150.7359252</ml:real> <ml:real>4527141937.5049372</ml:real> <ml:real>4145455049.985836</ml:real> <ml:real>4533648015.2561836</ml:real> <ml:real>4138338720.7375045</ml:real> <ml:real>4540142906.681633</ml:real> <ml:real>4131212180.5497642</ml:real> <ml:real>4546626595.7557859</ml:real> <ml:real>4124075447.0066457</ml:real> <ml:real>4553099066.4807854</ml:real> <ml:real>4116928537.717329</ml:real> <ml:real>4559560302.8864536</ml:real> <ml:real>4109771470.3161025</ml:real> <ml:real>4566010289.0303307</ml:real> <ml:real>4102604262.4623179</ml:real> <ml:real>4572449008.9977169</ml:real> <ml:real>4095426931.8403492</ml:real> <ml:real>4578876446.9017124</ml:real> <ml:real>4088239496.1595454</ml:real> <ml:real>4585292586.8832521</ml:real> <ml:real>4081041973.1541905</ml:real> <ml:real>4591697413.11115</ml:real> <ml:real>4073834380.5834556</ml:real> <ml:real>4598090909.7821312</ml:real> <ml:real>4066616736.2313595</ml:real> <ml:real>4604473061.1208792</ml:real> <ml:real>4059389057.9067235</ml:real> <ml:real>4610843851.3800716</ml:real> <ml:real>4052151363.4431229</ml:real> <ml:real>4617203264.840415</ml:real> <ml:real>4044903670.6988511</ml:real> <ml:real>4623551285.810689</ml:real> <ml:real>4037645997.556869</ml:real> <ml:real>4629887898.6277828</ml:real> <ml:real>4030378361.9247627</ml:real> <ml:real>4636213087.6567364</ml:real> <ml:real>4023100781.7347026</ml:real> <ml:real>4642526837.2907715</ml:real> <ml:real>4015813274.9433932</ml:real> <ml:real>4648829131.9513407</ml:real> <ml:real>4008515859.532033</ml:real> <ml:real>4655119956.0881577</ml:real> <ml:real>4001208553.5062695</ml:real> <ml:real>4661399294.1792393</ml:real> <ml:real>3993891374.8961534</ml:real> <ml:real>4667667130.7309427</ml:real> <ml:real>3986564341.7560968</ml:real> <ml:real>4673923450.2780046</ml:real> <ml:real>3979227472.1648235</ml:real> <ml:real>4680168237.3835793</ml:real> <ml:real>3971880784.2253318</ml:real> <ml:real>4686401476.6392736</ml:real> <ml:real>3964524296.0648437</ml:real> <ml:real>4692623152.6651907</ml:real> <ml:real>3957158025.83476</ml:real> <ml:real>4698833250.1099625</ml:real> <ml:real>3949781991.7106242</ml:real> <ml:real>4705031753.6507912</ml:real> <ml:real>3942396211.8920641</ml:real> <ml:real>4711218647.9934864</ml:real> <ml:real>3935000704.6027579</ml:real> <ml:real>4717393917.8724995</ml:real> <ml:real>3927595488.0903859</ml:real> <ml:real>4723557548.0509682</ml:real> <ml:real>3920180580.6265821</ml:real> <ml:real>4729709523.3207455</ml:real> <ml:real>3912756000.5068941</ml:real> <ml:real>4735849828.5024471</ml:real> <ml:real>3905321766.0507364</ml:real> <ml:real>4741978448.4454765</ml:real> <ml:real>3897877895.6013427</ml:real> <ml:real>4748095368.0280762</ml:real> <ml:real>3890424407.525722</ml:real> <ml:real>4754200572.1573534</ml:real> <ml:real>3882961320.2146173</ml:real> <ml:real>4760294045.7693253</ml:real> <ml:real>3875488652.0824547</ml:real> <ml:real>4766375773.82895</ml:real> <ml:real>3868006421.5672979</ml:real> <ml:real>4772445741.33017</ml:real> <ml:real>3860514647.1308088</ml:real> <ml:real>4778503933.29594</ml:real> <ml:real>3853013347.2581949</ml:real> <ml:real>4784550334.7782784</ml:real> <ml:real>3845502540.458169</ml:real> <ml:real>4790584930.8582888</ml:real> <ml:real>3837982245.2628994</ml:real> <ml:real>4796607706.646203</ml:real> <ml:real>3830452480.2279668</ml:real> <ml:real>4802618647.2814236</ml:real> <ml:real>3822913263.9323187</ml:real> <ml:real>4808617737.93255</ml:real> <ml:real>3815364614.9782209</ml:real> <ml:real>4814604963.7974253</ml:real> <ml:real>3807806551.9912157</ml:real> <ml:real>4820580310.1031609</ml:real> <ml:real>3800239093.6200709</ml:real> <ml:real>4826543762.1061859</ml:real> <ml:real>3792662258.5367389</ml:real> <ml:real>4832495305.0922766</ml:real> <ml:real>3785076065.4363055</ml:real> <ml:real>4838434924.37659</ml:real> <ml:real>3777480533.0369492</ml:real> <ml:real>4844362605.3037062</ml:real> <ml:real>3769875680.0798907</ml:real> <ml:real>4850278333.2476625</ml:real> <ml:real>3762261525.3293495</ml:real> <ml:real>4856182093.6119881</ml:real> <ml:real>3754638087.572494</ml:real> <ml:real>4862073871.8297415</ml:real> <ml:real>3747005385.6194</ml:real> <ml:real>4867953653.3635454</ml:real> <ml:real>3739363438.3030014</ml:real> <ml:real>4873821423.7056227</ml:real> <ml:real>3731712264.4790421</ml:real> <ml:real>4879677168.3778353</ml:real> <ml:real>3724051883.0260344</ml:real> <ml:real>4885520872.9317141</ml:real> <ml:real>3716382312.8452072</ml:real> <ml:real>4891352522.9484987</ml:real> <ml:real>3708703572.8604627</ml:real> <ml:real>4897172104.0391722</ml:real> <ml:real>3701015682.0183287</ml:real> <ml:real>4902979601.8444986</ml:real> <ml:real>3693318659.2879109</ml:real> <ml:real>4908775002.0350513</ml:real> <ml:real>3685612523.6608481</ml:real> <ml:real>4914558290.3112574</ml:real> <ml:real>3677897294.1512642</ml:real> <ml:real>4920329452.4034309</ml:real> <ml:real>3670172989.7957211</ml:real> <ml:real>4926088474.0718</ml:real> <ml:real>3662439629.653172</ml:real> <ml:real>4931835341.1065521</ml:real> <ml:real>3654697232.804914</ml:real> <ml:real>4937570039.3278656</ml:real> <ml:real>3646945818.3545408</ml:real> <ml:real>4943292554.5859394</ml:real> <ml:real>3639185405.4278984</ml:real> <ml:real>4949002872.7610388</ml:real> <ml:real>3631416013.1730337</ml:real> <ml:real>4954700979.76352</ml:real> <ml:real>3623637660.76015</ml:real> <ml:real>4960386861.5338707</ml:real> <ml:real>3615850367.3815584</ml:real> <ml:real>4966060504.0427427</ml:real> <ml:real>3608054152.2516313</ml:real> <ml:real>4971721893.290988</ml:real> <ml:real>3600249034.6067543</ml:real> <ml:real>4977371015.30969</ml:real> <ml:real>3592435033.70528</ml:real> <ml:real>4983007856.160202</ml:real> <ml:real>3584612168.8274779</ml:real> <ml:real>4988632401.93418</ml:real> <ml:real>3576780459.27549</ml:real> <ml:real>4994244638.7536182</ml:real> <ml:real>3568939924.3732805</ml:real> <ml:real>4999844552.7708769</ml:real> <ml:real>3561090583.4665914</ml:real> <ml:real>5005432130.1687279</ml:real> <ml:real>3553232455.9228892</ml:real> <ml:real>5011007357.1603775</ml:real> <ml:real>3545365561.1313233</ml:real> <ml:real>5016570219.9895067</ml:real> <ml:real>3537489918.5026751</ml:real> <ml:real>5022120704.9303055</ml:real> <ml:real>3529605547.4693084</ml:real> <ml:real>5027658798.2875052</ml:real> <ml:real>3521712467.4851265</ml:real> <ml:real>5033184486.396409</ml:real> <ml:real>3513810698.0255189</ml:real> <ml:real>5038697755.6229324</ml:real> <ml:real>3505900258.587317</ml:real> <ml:real>5044198592.36363</ml:real> <ml:real>3497981168.6887426</ml:real> <ml:real>5049686983.0457354</ml:real> <ml:real>3490053447.8693633</ml:real> <ml:real>5055162914.12719</ml:real> <ml:real>3482117115.6900415</ml:real> <ml:real>5060626372.0966768</ml:real> <ml:real>3474172191.7328892</ml:real> <ml:real>5066077343.4736586</ml:real> <ml:real>3466218695.6012154</ml:real> <ml:real>5071515814.808404</ml:real> <ml:real>3458256646.9194822</ml:real> <ml:real>5076941772.6820259</ml:real> <ml:real>3450286065.3332529</ml:real> <ml:real>5082355203.7065115</ml:real> <ml:real>3442306970.5091438</ml:real> <ml:real>5087756094.52476</ml:real> <ml:real>3434319382.1347814</ml:real> <ml:real>5093144431.81061</ml:real> <ml:real>3426323319.9187422</ml:real> <ml:real>5098520202.2688723</ml:real> <ml:real>3418318803.5905175</ml:real> <ml:real>5103883392.6353712</ml:real> <ml:real>3410305852.900455</ml:real> <ml:real>5109233989.6769638</ml:real> <ml:real>3402284487.6197124</ml:real> <ml:real>5114571980.1915884</ml:real> <ml:real>3394254727.5402136</ml:real> <ml:real>5119897351.00828</ml:real> <ml:real>3386216592.4745922</ml:real> <ml:real>5125210088.987216</ml:real> <ml:real>3378170102.2561474</ml:real> <ml:real>5130510181.0197468</ml:real> <ml:real>3370115276.7387934</ml:real> <ml:real>5135797614.0284195</ml:real> <ml:real>3362052135.7970128</ml:real> <ml:real>5141072374.9670181</ml:real> <ml:real>3353980699.3258033</ml:real> <ml:real>5146334450.8205957</ml:real> <ml:real>3345900987.2406325</ml:real> <ml:real>5151583828.605504</ml:real> <ml:real>3337813019.4773865</ml:real> <ml:real>5156820495.3694239</ml:real> <ml:real>3329716815.992322</ml:real> <ml:real>5162044438.1914005</ml:real> <ml:real>3321612396.7620158</ml:real> <ml:real>5167255644.1818743</ml:real> <ml:real>3313499781.7833176</ml:real> <ml:real>5172454100.4827137</ml:real> <ml:real>3305378991.0732975</ml:real> <ml:real>5177639794.2672453</ml:real> <ml:real>3297250044.6692004</ml:real> <ml:real>5182812712.7402821</ml:real> <ml:real>3289112962.6283913</ml:real> <ml:real>5187972843.1381636</ml:real> <ml:real>3280967765.0283136</ml:real> <ml:real>5193120172.72878</ml:real> <ml:real>3272814471.9664316</ml:real> <ml:real>5198254688.81161</ml:real> <ml:real>3264653103.5601854</ml:real> <ml:real>5203376378.7177429</ml:real> <ml:real>3256483679.9469404</ml:real> <ml:real>5208485229.8099184</ml:real> <ml:real>3248306221.2839379</ml:real> <ml:real>5213581229.4825563</ml:real> <ml:real>3240120747.7482433</ml:real> <ml:real>5218664365.1617813</ml:real> <ml:real>3231927279.5366983</ml:real> <ml:real>5223734624.3054628</ml:real> <ml:real>3223725836.8658738</ml:real> <ml:real>5228791994.40324</ml:real> <ml:real>3215516439.9720116</ml:real> <ml:real>5233836462.9765549</ml:real> <ml:real>3207299109.1109838</ml:real> <ml:real>5238868017.5786839</ml:real> <ml:real>3199073864.5582366</ml:real> <ml:real>5243886645.7947636</ml:real> <ml:real>3190840726.6087441</ml:real> <ml:real>5248892335.2418308</ml:real> <ml:real>3182599715.5769558</ml:real> <ml:real>5253885073.5688429</ml:real> <ml:real>3174350851.7967467</ml:real> <ml:real>5258864848.4567146</ml:real> <ml:real>3166094155.6213679</ml:real> <ml:real>5263831647.6183462</ml:real> <ml:real>3157829647.4233971</ml:real> <ml:real>5268785458.7986536</ml:real> <ml:real>3149557347.594686</ml:real> <ml:real>5273726269.7746029</ml:real> <ml:real>3141277276.5463133</ml:real> <ml:real>5278654068.3552313</ml:real> <ml:real>3132989454.70853</ml:real> <ml:real>5283568842.3816862</ml:real> <ml:real>3124693902.5307136</ml:real> <ml:real>5288470579.7272539</ml:real> <ml:real>3116390640.4813128</ml:real> <ml:real>5293359268.2973824</ml:real> <ml:real>3108079689.0478034</ml:real> <ml:real>5298234896.0297174</ml:real> <ml:real>3099761068.7366309</ml:real> <ml:real>5303097450.8941355</ml:real> <ml:real>3091434800.073164</ml:real> <ml:real>5307946920.8927622</ml:real> <ml:real>3083100903.6016431</ml:real> <ml:real>5312783294.0600157</ml:real> <ml:real>3074759399.885129</ml:real> <ml:real>5317606558.4626255</ml:real> <ml:real>3066410309.5054526</ml:real> <ml:real>5322416702.1996641</ml:real> <ml:real>3058053653.0631652</ml:real> <ml:real>5327213713.4025822</ml:real> <ml:real>3049689451.1774855</ml:real> <ml:real>5331997580.2352295</ml:real> <ml:real>3041317724.4862504</ml:real> <ml:real>5336768290.8938923</ml:real> <ml:real>3032938493.6458631</ml:real> <ml:real>5341525833.6073141</ml:real> <ml:real>3024551779.3312426</ml:real> <ml:real>5346270196.6367321</ml:real> <ml:real>3016157602.2357731</ml:real> <ml:real>5351001368.2759037</ml:real> <ml:real>3007755983.0712519</ml:real> <ml:real>5355719336.8511305</ml:real> <ml:real>2999346942.5678387</ml:real> <ml:real>5360424090.7212963</ml:real> <ml:real>2990930501.4740062</ml:real> <ml:real>5365115618.2778864</ml:real> <ml:real>2982506680.5564857</ml:real> <ml:real>5369793907.9450254</ml:real> <ml:real>2974075500.6002173</ml:real> <ml:real>5374458948.1794968</ml:real> <ml:real>2965636982.4083</ml:real> <ml:real>5379110727.4707785</ml:real> <ml:real>2957191146.8019376</ml:real> <ml:real>5383749234.3410664</ml:real> <ml:real>2948738014.6203909</ml:real> <ml:real>5388374457.3453083</ml:real> <ml:real>2940277606.7209234</ml:real> <ml:real>5392986385.0712233</ml:real> <ml:real>2931809943.97875</ml:real> <ml:real>5397585006.1393394</ml:real> <ml:real>2923335047.2869868</ml:real> <ml:real>5402170309.2030163</ml:real> <ml:real>2914852937.5565991</ml:real> <ml:real>5406742282.9484758</ml:real> <ml:real>2906363635.7163491</ml:real> <ml:real>5411300916.0948267</ml:real> <ml:real>2897867162.7127457</ml:real> <ml:real>5415846197.3940935</ml:real> <ml:real>2889363539.5099916</ml:real> <ml:real>5420378115.6312466</ml:real> <ml:real>2880852787.089931</ml:real> <ml:real>5424896659.6242285</ml:real> <ml:real>2872334926.452</ml:real> <ml:real>5429401818.2239828</ml:real> <ml:real>2863809978.6131721</ml:real> <ml:real>5433893580.314476</ml:real> <ml:real>2855277964.6079097</ml:real> <ml:real>5438371934.8127327</ml:real> <ml:real>2846738905.4881091</ml:real> <ml:real>5442836870.6688585</ml:real> <ml:real>2838192822.3230495</ml:real> <ml:real>5447288376.8660679</ml:real> <ml:real>2829639736.1993418</ml:real> <ml:real>5451726442.4207125</ml:real> <ml:real>2821079668.2208753</ml:real> <ml:real>5456151056.3823042</ml:real> <ml:real>2812512639.5087667</ml:real> <ml:real>5460562207.8335514</ml:real> <ml:real>2803938671.2013087</ml:real> <ml:real>5464959885.8903751</ml:real> <ml:real>2795357784.4539151</ml:real> <ml:real>5469344079.7019405</ml:real> <ml:real>2786770000.4390707</ml:real> <ml:real>5473714778.4506884</ml:real> <ml:real>2778175340.3462796</ml:real> <ml:real>5478071971.3523493</ml:real> <ml:real>2769573825.3820105</ml:real> <ml:real>5482415647.6559868</ml:real> <ml:real>2760965476.7696471</ml:real> <ml:real>5486745796.64401</ml:real> <ml:real>2752350315.749433</ml:real> <ml:real>5491062407.632206</ml:real> <ml:real>2743728363.578423</ml:real> <ml:real>5495365469.9697685</ml:real> <ml:real>2735099641.5304251</ml:real> <ml:real>5499654973.0393171</ml:real> <ml:real>2726464170.8959551</ml:real> <ml:real>5503930906.2569294</ml:real> <ml:real>2717821972.9821773</ml:real> <ml:real>5508193259.0721674</ml:real> <ml:real>2709173069.1128564</ml:real> <ml:real>5512442020.9680967</ml:real> <ml:real>2700517480.6283026</ml:real> <ml:real>5516677181.46132</ml:real> <ml:real>2691855228.88532</ml:real> <ml:real>5520898730.1020012</ml:real> <ml:real>2683186335.257154</ml:real> <ml:real>5525106656.4738884</ml:real> <ml:real>2674510821.1334372</ml:real> <ml:real>5529300950.19434</ml:real> <ml:real>2665828707.9201393</ml:real> <ml:real>5533481600.9143543</ml:real> <ml:real>2657140017.0395112</ml:real> <ml:real>5537648598.3185911</ml:real> <ml:real>2648444769.9300337</ml:real> <ml:real>5541801932.1254</ml:real> <ml:real>2639742988.0463648</ml:real> <ml:real>5545941592.08684</ml:real> <ml:real>2631034692.8592863</ml:real> <ml:real>5550067567.9887133</ml:real> <ml:real>2622319905.8556504</ml:real> <ml:real>5554179849.6505842</ml:real> <ml:real>2613598648.5383286</ml:real> <ml:real>5558278426.925807</ml:real> <ml:real>2604870942.426156</ml:real> <ml:real>5562363289.7015486</ml:real> <ml:real>2596136809.0538793</ml:real> <ml:real>5566434427.8988171</ml:real> <ml:real>2587396269.972105</ml:real> <ml:real>5570491831.4724836</ml:real> <ml:real>2578649346.7472448</ml:real> <ml:real>5574535490.4113073</ml:real> <ml:real>2569896060.9614606</ml:real> <ml:real>5578565394.7379618</ml:real> <ml:real>2561136434.2126164</ml:real> <ml:real>5582581534.5090618</ml:real> <ml:real>2552370488.11422</ml:real> <ml:real>5586583899.815177</ml:real> <ml:real>2543598244.2953725</ml:real> <ml:real>5590572480.7808714</ml:real> <ml:real>2534819724.400713</ml:real> <ml:real>5594547267.5647192</ml:real> <ml:real>2526034950.0903664</ml:real> <ml:real>5598508250.3593264</ml:real> <ml:real>2517243943.0398903</ml:real> <ml:real>5602455419.3913622</ml:real> <ml:real>2508446724.9402208</ml:real> <ml:real>5606388764.9215822</ml:real> <ml:real>2499643317.4976187</ml:real> <ml:real>5610308277.2448435</ml:real> <ml:real>2490833742.4336171</ml:real> <ml:real>5614213946.6901417</ml:real> <ml:real>2482018021.4849672</ml:real> <ml:real>5618105763.6206236</ml:real> <ml:real>2473196176.403583</ml:real> <ml:real>5621983718.4336195</ml:real> <ml:real>2464368228.9564905</ml:real> <ml:real>5625847801.56066</ml:real> <ml:real>2455534200.9257731</ml:real> <ml:real>5629698003.4675074</ml:real> <ml:real>2446694114.1085167</ml:real> <ml:real>5633534314.6541672</ml:real> <ml:real>2437847990.3167567</ml:real> <ml:real>5637356725.6549253</ml:real> <ml:real>2428995851.3774233</ml:real> <ml:real>5641165227.0383615</ml:real> <ml:real>2420137719.1322904</ml:real> <ml:real>5644959809.4073782</ml:real> <ml:real>2411273615.4379182</ml:real> <ml:real>5648740463.3992195</ml:real> <ml:real>2402403562.1656017</ml:real> <ml:real>5652507179.6854973</ml:real> <ml:real>2393527581.2013159</ml:real> <ml:real>5656259948.9722147</ml:real> <ml:real>2384645694.4456611</ml:real> <ml:real>5659998761.9997864</ml:real> <ml:real>2375757923.8138094</ml:real> <ml:real>5663723609.5430622</ml:real> <ml:real>2366864291.2354522</ml:real> <ml:real>5667434482.4113512</ml:real> <ml:real>2357964818.6547432</ml:real> <ml:real>5671131371.4484444</ml:real> <ml:real>2349059528.0302467</ml:real> <ml:real>5674814267.5326347</ml:real> <ml:real>2340148441.3348818</ml:real> <ml:real>5678483161.5767431</ml:real> <ml:real>2331231580.5558696</ml:real> <ml:real>5682138044.5281372</ml:real> <ml:real>2322308967.6946774</ml:real> <ml:real>5685778907.3687553</ml:real> <ml:real>2313380624.7669649</ml:real> <ml:real>5689405741.1151333</ml:real> <ml:real>2304446573.8025312</ml:real> <ml:real>5693018536.8184195</ml:real> <ml:real>2295506836.8452587</ml:real> <ml:real>5696617285.5643959</ml:real> <ml:real>2286561435.95306</ml:real> <ml:real>5700201978.4735117</ml:real> <ml:real>2277610393.1978226</ml:real> <ml:real>5703772606.7008915</ml:real> <ml:real>2268653730.6653547</ml:real> <ml:real>5707329161.436367</ml:real> <ml:real>2259691470.45533</ml:real> <ml:real>5710871633.9044895</ml:real> <ml:real>2250723634.6812348</ml:real> <ml:real>5714400015.364563</ml:real> <ml:real>2241750245.470314</ml:real> <ml:real>5717914297.1106577</ml:real> <ml:real>2232771324.9635119</ml:real> <ml:real>5721414470.47163</ml:real> <ml:real>2223786895.3154225</ml:real> <ml:real>5724900526.8111515</ml:real> <ml:real>2214796978.6942325</ml:real> <ml:real>5728372457.5277252</ml:real> <ml:real>2205801597.2816687</ml:real> <ml:real>5731830254.0547047</ml:real> <ml:real>2196800773.2729392</ml:real> <ml:real>5735273907.8603239</ml:real> <ml:real>2187794528.8766837</ml:real> <ml:real>5738703410.4477081</ml:real> <ml:real>2178782886.3149137</ml:real> <ml:real>5742118753.3549023</ml:real> <ml:real>2169765867.8229623</ml:real> <ml:real>5745519928.1548843</ml:real> <ml:real>2160743495.6494265</ml:real> <ml:real>5748906926.455596</ml:real> <ml:real>2151715792.0561118</ml:real> <ml:real>5752279739.8999538</ml:real> <ml:real>2142682779.3179798</ml:real> <ml:real>5755638360.1658773</ml:real> <ml:real>2133644479.7230914</ml:real> <ml:real>5758982778.9663038</ml:real> <ml:real>2124600915.5725522</ml:real> <ml:real>5762312988.0492134</ml:real> <ml:real>2115552109.1804588</ml:real> <ml:real>5765628979.1976442</ml:real> <ml:real>2106498082.87384</ml:real> <ml:real>5768930744.22972</ml:real> <ml:real>2097438858.9926066</ml:real> <ml:real>5772218274.9986629</ml:real> <ml:real>2088374459.8894928</ml:real> <ml:real>5775491563.3928175</ml:real> <ml:real>2079304907.9300022</ml:real> <ml:real>5778750601.33567</ml:real> <ml:real>2070230225.4923525</ml:real> <ml:real>5781995380.78587</ml:real> <ml:real>2061150434.9674206</ml:real> <ml:real>5785225893.7372437</ml:real> <ml:real>2052065558.7586873</ml:real> <ml:real>5788442132.2188234</ml:real> <ml:real>2042975619.2821813</ml:real> <ml:real>5791644088.2948608</ml:real> <ml:real>2033880638.9664249</ml:real> <ml:real>5794831754.064846</ml:real> <ml:real>2024780640.2523778</ml:real> <ml:real>5798005121.6635313</ml:real> <ml:real>2015675645.5933819</ml:real> <ml:real>5801164183.2609472</ml:real> <ml:real>2006565677.4551067</ml:real> <ml:real>5804308931.0624247</ml:real> <ml:real>1997450758.3154931</ml:real> <ml:real>5807439357.30861</ml:real> <ml:real>1988330910.6646977</ml:real> <ml:real>5810555454.2754889</ml:real> <ml:real>1979206157.0050383</ml:real> <ml:real>5813657214.2743988</ml:real> <ml:real>1970076519.8509369</ml:real> <ml:real>5816744629.65206</ml:real> <ml:real>1960942021.7288661</ml:real> <ml:real>5819817692.7905769</ml:real> <ml:real>1951802685.1772919</ml:real> <ml:real>5822876396.1074753</ml:real> <ml:real>1942658532.746619</ml:real> <ml:real>5825920732.055706</ml:real> <ml:real>1933509586.9991338</ml:real> <ml:real>5828950693.1236763</ml:real> <ml:real>1924355870.5089512</ml:real> <ml:real>5831966271.8352547</ml:real> <ml:real>1915197405.8619561</ml:real> <ml:real>5834967460.7498026</ml:real> <ml:real>1906034215.6557503</ml:real> <ml:real>5837954252.462184</ml:real> <ml:real>1896866322.499594</ml:real> <ml:real>5840926639.602788</ml:real> <ml:real>1887693749.0143526</ml:real> <ml:real>5843884614.8375444</ml:real> <ml:real>1878516517.8324392</ml:real> <ml:real>5846828170.8679438</ml:real> <ml:real>1869334651.5977593</ml:real> <ml:real>5849757300.4310532</ml:real> <ml:real>1860148172.9656558</ml:real> <ml:real>5852671996.2995367</ml:real> <ml:real>1850957104.6028507</ml:real> <ml:real>5855572251.2816734</ml:real> <ml:real>1841761469.187392</ml:real> <ml:real>5858458058.2213717</ml:real> <ml:real>1832561289.4085953</ml:real> <ml:real>5861329409.998189</ml:real> <ml:real>1823356587.9669905</ml:real> <ml:real>5864186299.5273514</ml:real> <ml:real>1814147387.5742631</ml:real> <ml:real>5867028719.7597675</ml:real> <ml:real>1804933710.9531996</ml:real> <ml:real>5869856663.6820488</ml:real> <ml:real>1795715580.8376308</ml:real> <ml:real>5872670124.3165226</ml:real> <ml:real>1786493019.9723768</ml:real> <ml:real>5875469094.7212572</ml:real> <ml:real>1777266051.1131897</ml:real> <ml:real>5878253567.9900684</ml:real> <ml:real>1768034697.0266979</ml:real> <ml:real>5881023537.2525482</ml:real> <ml:real>1758798980.4903498</ml:real> <ml:real>5883778995.6740723</ml:real> <ml:real>1749558924.2923574</ml:real> <ml:real>5886519936.4558182</ml:real> <ml:real>1740314551.2316418</ml:real> <ml:real>5889246352.8347893</ml:real> <ml:real>1731065884.117774</ml:real> <ml:real>5891958238.0838232</ml:real> <ml:real>1721812945.770921</ml:real> <ml:real>5894655585.5116138</ml:real> <ml:real>1712555759.0217879</ml:real> <ml:real>5897338388.4627237</ml:real> <ml:real>1703294346.7115636</ml:real> <ml:real>5900006640.317605</ml:real> <ml:real>1694028731.6918619</ml:real> <ml:real>5902660334.4926081</ml:real> <ml:real>1684758936.8246658</ml:real> <ml:real>5905299464.4400091</ml:real> <ml:real>1675484984.9822743</ml:real> <ml:real>5907924023.648016</ml:real> <ml:real>1666206899.0472403</ml:real> <ml:real>5910534005.6407909</ml:real> <ml:real>1656924701.9123194</ml:real> <ml:real>5913129403.9784622</ml:real> <ml:real>1647638416.48041</ml:real> <ml:real>5915710212.2571421</ml:real> <ml:real>1638348065.6644983</ml:real> <ml:real>5918276424.108943</ml:real> <ml:real>1629053672.3876016</ml:real> <ml:real>5920828033.201992</ml:real> <ml:real>1619755259.5827107</ml:real> <ml:real>5923365033.240448</ml:real> <ml:real>1610452850.1927357</ml:real> <ml:real>5925887417.9645147</ml:real> <ml:real>1601146467.1704464</ml:real> <ml:real>5928395181.15046</ml:real> <ml:real>1591836133.4784179</ml:real> <ml:real>5930888316.6106262</ml:real> <ml:real>1582521872.0889735</ml:real> <ml:real>5933366818.193449</ml:real> <ml:real>1573203705.9841268</ml:real> <ml:real>5935830679.783474</ml:real> <ml:real>1563881658.1555264</ml:real> <ml:real>5938279895.3013659</ml:real> <ml:real>1554555751.6043992</ml:real> <ml:real>5940714458.7039289</ml:real> <ml:real>1545226009.3414922</ml:real> <ml:real>5943134363.9841223</ml:real> <ml:real>1535892454.3870168</ml:real> <ml:real>5945539605.1710672</ml:real> <ml:real>1526555109.770592</ml:real> <ml:real>5947930176.3300714</ml:real> <ml:real>1517213998.5311878</ml:real> <ml:real>5950306071.5626383</ml:real> <ml:real>1507869143.717067</ml:real> <ml:real>5952667285.0064831</ml:real> <ml:real>1498520568.3857305</ml:real> <ml:real>5955013810.8355455</ml:real> <ml:real>1489168295.6038582</ml:real> <ml:real>5957345643.2600079</ml:real> <ml:real>1479812348.4472539</ml:real> <ml:real>5959662776.5263023</ml:real> <ml:real>1470452750.0007865</ml:real> <ml:real>5961965204.9171352</ml:real> <ml:real>1461089523.3583355</ml:real> <ml:real>5964252922.7514935</ml:real> <ml:real>1451722691.6227315</ml:real> <ml:real>5966525924.3846588</ml:real> <ml:real>1442352277.9057005</ml:real> <ml:real>5968784204.2082281</ml:real> <ml:real>1432978305.3278072</ml:real> <ml:real>5971027756.65012</ml:real> <ml:real>1423600797.0183969</ml:real> <ml:real>5973256576.17459</ml:real> <ml:real>1414219776.1155391</ml:real> <ml:real>5975470657.2822495</ml:real> <ml:real>1404835265.7659707</ml:real> <ml:real>5977669994.5100718</ml:real> <ml:real>1395447289.1250374</ml:real> <ml:real>5979854582.4314117</ml:real> <ml:real>1386055869.3566394</ml:real> <ml:real>5982024415.6560163</ml:real> <ml:real>1376661029.63317</ml:real> <ml:real>5984179488.8300381</ml:real> <ml:real>1367262793.1354635</ml:real> <ml:real>5986319796.6360464</ml:real> <ml:real>1357861183.0527332</ml:real> <ml:real>5988445333.793045</ml:real> <ml:real>1348456222.5825183</ml:real> <ml:real>5990556095.0564852</ml:real> <ml:real>1339047934.9306235</ml:real> <ml:real>5992652075.2182693</ml:real> <ml:real>1329636343.3110631</ml:real> <ml:real>5994733269.1067772</ml:real> <ml:real>1320221470.9460042</ml:real> <ml:real>5996799671.5868683</ml:real> <ml:real>1310803341.0657082</ml:real> <ml:real>5998851277.5599</ml:real> <ml:real>1301381976.9084742</ml:real> <ml:real>6000888081.9637394</ml:real> <ml:real>1291957401.7205825</ml:real> <ml:real>6002910079.7727737</ml:real> <ml:real>1282529638.7562344</ml:real> <ml:real>6004917265.9979239</ml:real> <ml:real>1273098711.2774983</ml:real> <ml:real>6006909635.68666</ml:real> <ml:real>1263664642.5542502</ml:real> <ml:real>6008887183.9230042</ml:real> <ml:real>1254227455.8641172</ml:real> <ml:real>6010849905.8275557</ml:real> <ml:real>1244787174.492419</ml:real> <ml:real>6012797796.5574913</ml:real> <ml:real>1235343821.7321112</ml:real> <ml:real>6014730851.3065844</ml:real> <ml:real>1225897420.8837283</ml:real> <ml:real>6016649065.3052168</ml:real> <ml:real>1216447995.2553256</ml:real> <ml:real>6018552433.8203831</ml:real> <ml:real>1206995568.162421</ml:real> <ml:real>6020440952.155714</ml:real> <ml:real>1197540162.9279389</ml:real> <ml:real>6022314615.651475</ml:real> <ml:real>1188081802.8821518</ml:real> <ml:real>6024173419.6845894</ml:real> <ml:real>1178620511.362623</ml:real> <ml:real>6026017359.668643</ml:real> <ml:real>1169156311.7141488</ml:real> <ml:real>6027846431.053896</ml:real> <ml:real>1159689227.2887003</ml:real> <ml:real>6029660629.3272991</ml:real> <ml:real>1150219281.4453681</ml:real> <ml:real>6031459950.012496</ml:real> <ml:real>1140746497.550302</ml:real> <ml:real>6033244388.6698427</ml:real> <ml:real>1131270898.9766545</ml:real> <ml:real>6035013940.8964138</ml:real> <ml:real>1121792509.1045229</ml:real> <ml:real>6036768602.3260164</ml:real> <ml:real>1112311351.3208923</ml:real> <ml:real>6038508368.6291952</ml:real> <ml:real>1102827449.0195768</ml:real> <ml:real>6040233235.5132532</ml:real> <ml:real>1093340825.6011627</ml:real> <ml:real>6041943198.7222509</ml:real> <ml:real>1083851504.4729502</ml:real> <ml:real>6043638254.0370235</ml:real> <ml:real>1074359509.0488958</ml:real> <ml:real>6045318397.27519</ml:real> <ml:real>1064864862.7495549</ml:real> <ml:real>6046983624.2911673</ml:real> <ml:real>1055367589.0020231</ml:real> <ml:real>6048633930.9761715</ml:real> <ml:real>1045867711.2398794</ml:real> <ml:real>6050269313.2582331</ml:real> <ml:real>1036365252.9031278</ml:real> <ml:real>6051889767.102212</ml:real> <ml:real>1026860237.4381394</ml:real> <ml:real>6053495288.5097971</ml:real> <ml:real>1017352688.2975954</ml:real> <ml:real>6055085873.5195246</ml:real> <ml:real>1007842628.940428</ml:real> <ml:real>6056661518.2067852</ml:real> <ml:real>998330082.831763</ml:real> <ml:real>6058222218.68383</ml:real> <ml:real>988815073.442863</ml:real> <ml:real>6059767971.0997877</ml:real> <ml:real>979297624.25106692</ml:real> <ml:real>6061298771.640667</ml:real> <ml:real>969777758.73973525</ml:real> <ml:real>6062814616.5293694</ml:real> <ml:real>960255500.39818919</ml:real> <ml:real>6064315502.0257</ml:real> <ml:real>950730872.721655</ml:real> <ml:real>6065801424.4263706</ml:real> <ml:real>941203899.21120477</ml:real> <ml:real>6067272380.0650177</ml:real> <ml:real>931674603.37369835</ml:real> <ml:real>6068728365.3122025</ml:real> <ml:real>922143008.72172606</ml:real> <ml:real>6070169376.5754271</ml:real> <ml:real>912609138.77354991</ml:real> <ml:real>6071595410.2991409</ml:real> <ml:real>903073017.05304635</ml:real> <ml:real>6073006462.9647455</ml:real> <ml:real>893534667.08964789</ml:real> <ml:real>6074402531.09061</ml:real> <ml:real>883994112.418285</ml:real> <ml:real>6075783611.2320719</ml:real> <ml:real>874451376.57932782</ml:real> <ml:real>6077149699.9814577</ml:real> <ml:real>864906483.11852813</ml:real> <ml:real>6078500793.9680758</ml:real> <ml:real>855359455.586962</ml:real> <ml:real>6079836889.8582392</ml:real> <ml:real>845810317.5409708</ml:real> <ml:real>6081157984.3552618</ml:real> <ml:real>836259092.54210329</ml:real> <ml:real>6082464074.1994743</ml:real> <ml:real>826705804.15705764</ml:real> <ml:real>6083755156.168231</ml:real> <ml:real>817150475.95762348</ml:real> <ml:real>6085031227.0759144</ml:real> <ml:real>807593131.52062285</ml:real> <ml:real>6086292283.7739477</ml:real> <ml:real>798033794.42785358</ml:real> <ml:real>6087538323.1507978</ml:real> <ml:real>788472488.26602948</ml:real> <ml:real>6088769342.1319857</ml:real> <ml:real>778909236.62672293</ml:real> <ml:real>6089985337.6800957</ml:real> <ml:real>769344063.10630691</ml:real> <ml:real>6091186306.7947779</ml:real> <ml:real>759776991.305896</ml:real> <ml:real>6092372246.512764</ml:real> <ml:real>750208044.83128893</ml:real> <ml:real>6093543153.9078636</ml:real> <ml:real>740637247.29290986</ml:real> <ml:real>6094699026.0909786</ml:real> <ml:real>731064622.30575013</ml:real> <ml:real>6095839860.2101088</ml:real> <ml:real>721490193.48931074</ml:real> <ml:real>6096965653.4503622</ml:real> <ml:real>711913984.46754277</ml:real> <ml:real>6098076403.0339518</ml:real> <ml:real>702336018.86878979</ml:real> <ml:real>6099172106.2202177</ml:real> <ml:real>692756320.3257302</ml:real> <ml:real>6100252760.3056173</ml:real> <ml:real>683174912.4753176</ml:real> <ml:real>6101318362.6237478</ml:real> <ml:real>673591818.95872343</ml:real> <ml:real>6102368910.5453386</ml:real> <ml:real>664007063.42127836</ml:real> <ml:real>6103404401.4782677</ml:real> <ml:real>654420669.51241386</ml:real> <ml:real>6104424832.8675642</ml:real> <ml:real>644832660.88560414</ml:real> <ml:real>6105430202.1954155</ml:real> <ml:real>635243061.19830692</ml:real> <ml:real>6106420506.9811735</ml:real> <ml:real>625651894.11190641</ml:real> <ml:real>6107395744.7813587</ml:real> <ml:real>616059183.29165411</ml:real> <ml:real>6108355913.1896687</ml:real> <ml:real>606464952.40661013</ml:real> <ml:real>6109301009.8369837</ml:real> <ml:real>596869225.12958539</ml:real> <ml:real>6110231032.3913717</ml:real> <ml:real>587272025.13708317</ml:real> <ml:real>6111145978.558094</ml:real> <ml:real>577673376.10924065</ml:real> <ml:real>6112045846.0796118</ml:real> <ml:real>568073301.72976959</ml:real> <ml:real>6112930632.7355919</ml:real> <ml:real>558471825.68589962</ml:real> <ml:real>6113800336.3429117</ml:real> <ml:real>548868971.66831827</ml:real> <ml:real>6114654954.7556629</ml:real> <ml:real>539264763.37111342</ml:real> <ml:real>6115494485.86516</ml:real> <ml:real>529659224.49171388</ml:real> <ml:real>6116318927.5999432</ml:real> <ml:real>520052378.73083228</ml:real> <ml:real>6117128277.925786</ml:real> <ml:real>510444249.79240555</ml:real> <ml:real>6117922534.8456955</ml:real> <ml:real>500834861.38353658</ml:real> <ml:real>6118701696.3999224</ml:real> <ml:real>491224237.21443605</ml:real> <ml:real>6119465760.6659613</ml:real> <ml:real>481612400.99836385</ml:real> <ml:real>6120214725.7585611</ml:real> <ml:real>471999376.45157027</ml:real> <ml:real>6120948589.8297243</ml:real> <ml:real>462385187.29323775</ml:real> <ml:real>6121667351.0687141</ml:real> <ml:real>452769857.24542236</ml:real> <ml:real>6122371007.7020607</ml:real> <ml:real>443153410.0329951</ml:real> <ml:real>6123059557.9935579</ml:real> <ml:real>433535869.38358349</ml:real> <ml:real>6123733000.24428</ml:real> <ml:real>423917259.027513</ml:real> <ml:real>6124391332.792572</ml:real> <ml:real>414297602.69774866</ml:real> <ml:real>6125034554.0140648</ml:real> <ml:real>404676924.12983614</ml:real> <ml:real>6125662662.3216753</ml:real> <ml:real>395055247.06184334</ml:real> <ml:real>6126275656.1656065</ml:real> <ml:real>385432595.234302</ml:real> <ml:real>6126873534.0333586</ml:real> <ml:real>375808992.39014894</ml:real> <ml:real>6127456294.449728</ml:real> <ml:real>366184462.27466756</ml:real> <ml:real>6128023935.9768095</ml:real> <ml:real>356559028.6354292</ml:real> <ml:real>6128576457.2140045</ml:real> <ml:real>346932715.22223431</ml:real> <ml:real>6129113856.7980223</ml:real> <ml:real>337305545.78705454</ml:real> <ml:real>6129636133.4028835</ml:real> <ml:real>327677544.08397335</ml:real> <ml:real>6130143285.7399206</ml:real> <ml:real>318048733.86912787</ml:real> <ml:real>6130635312.557786</ml:real> <ml:real>308419138.90065</ml:real> <ml:real>6131112212.6424551</ml:real> <ml:real>298788782.93860823</ml:real> <ml:real>6131573984.8172216</ml:real> <ml:real>289157689.74494857</ml:real> <ml:real>6132020627.942709</ml:real> <ml:real>279525883.08343589</ml:real> <ml:real>6132452140.91687</ml:real> <ml:real>269893386.71959585</ml:real> <ml:real>6132868522.67499</ml:real> <ml:real>260260224.42065552</ml:real> <ml:real>6133269772.1896868</ml:real> <ml:real>250626419.95548534</ml:real> <ml:real>6133655888.47092</ml:real> <ml:real>240991997.09454018</ml:real> <ml:real>6134026870.5659828</ml:real> <ml:real>231356979.60980064</ml:real> <ml:real>6134382717.559516</ml:real> <ml:real>221721391.27471459</ml:real> <ml:real>6134723428.5735</ml:real> <ml:real>212085255.86413834</ml:real> <ml:real>6135049002.7672672</ml:real> <ml:real>202448597.15427819</ml:real> <ml:real>6135359439.3374939</ml:real> <ml:real>192811438.92263147</ml:real> <ml:real>6135654737.5182085</ml:real> <ml:real>183173804.94792822</ml:real> <ml:real>6135934896.5807953</ml:real> <ml:real>173535719.01007214</ml:real> <ml:real>6136199915.8339844</ml:real> <ml:real>163897204.89008218</ml:real> <ml:real>6136449794.62387</ml:real> <ml:real>154258286.37003374</ml:real> <ml:real>6136684532.3339033</ml:real> <ml:real>144618987.23300016</ml:real> <ml:real>6136904128.3848877</ml:real> <ml:real>134979331.26299381</ml:real> <ml:real>6137108582.2349949</ml:real> <ml:real>125339342.24490754</ml:real> <ml:real>6137297893.379755</ml:real> <ml:real>115699043.96445595</ml:real> <ml:real>6137472061.35206</ml:real> <ml:real>106058460.20811673</ml:real> <ml:real>6137631085.7221689</ml:real> <ml:real>96417614.763071939</ml:real> <ml:real>6137774966.0977049</ml:real> <ml:real>86776531.41714935</ml:real> <ml:real>6137903702.1236572</ml:real> <ml:real>77135233.958763689</ml:real> <ml:real>6138017293.4823828</ml:real> <ml:real>67493746.176858038</ml:real> <ml:real>6138115739.8936062</ml:real> <ml:real>57852091.860845044</ml:real> <ml:real>6138199041.11442</ml:real> <ml:real>48210294.800548263</ml:real> <ml:real>6138267196.9392881</ml:real> <ml:real>38568378.786143504</ml:real> <ml:real>6138320207.20004</ml:real> <ml:real>28926367.608100023</ml:real> <ml:real>6138358071.7658825</ml:real> <ml:real>19284285.057121918</ml:real> <ml:real>6138380790.5433855</ml:real> <ml:real>9642154.9240893759</ml:real> <ml:real>6138388363.4764938</ml:real> <ml:real>1</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <table item-idref="153"/> </resultFormat> </math> <rendering item-idref="154"/> </region> <region region-id="1890" left="42" top="5616.75" width="424.5" height="27" align-x="42" align-y="5628" 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">Вывод: проведенный анализ показывает, что для указанных краевых условий дифференциальное уравнение решения не имеет.</f> </text> </region> </area> <rendering item-idref="155"/> </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">iVBORw0KGgoAAAANSUhEUgAAAXUAAAAXCAYAAAD0tt8tAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAATcSURBVHhe7ZsNsqQqDIV7Xb0g1+Nq ejN3MV5CQPmXRATazvfKmpoRIZwTj9pV77UJgiAIj0FCXRAE4UFIqAuCIDwICXVBEIQHIaEu CILwILxQ/yyv7fVKH+/1z4z6MT6L2v97G7H97/bjsy2JuvHoq+fz+7qktTqWjxnXB8mRAjpP HE3e6/an/lsX+LMNQagvqj1cTLN0boqZsA06ohmf4Mff+jaNa1EN/AZN+wX7r/S11vrl7xX/ DfQONbgPyZE0mCVB3/+t27uxP06oq5ttDazQRfRrhvmAZly2BXTwgqkHs/oBoVxfQxzqCtPI fR6U39zXDK1T+7Jvh116+FdyhOPNa0s/1zBnWumT/03dNMIvfy6BEXr/A3+C2ZnGjwahrpt4 0F6+qq8bhboi+ZbYg8fmCMUb86VSeKj+rWu1z2dkQh0KThWBxdV9RVHGFtBvdefNCI1Tc9QD Gth1cyHUS4+cH4A5B/sjvYlx66E0M9gXhzqGj+vpDDoqKnvN50o9ZzC0zoQ6nrN1TqJ3a7r6 R/CG9GV63ZtkysU3HRVjJrsZDOYpX1MLjjs/qoG1neKvfUJe06PkB9Rlm0WPq1rgSj2EZlbY MPGP+XSk9NpBoz7PwtE6M571xnyj3q3p7h/BG5b2Z+Rrj1Ou2e+duOj1ZoenUafGcICw9Go3 xvD3w9Sj5Ic+5zYWaFUbAvX14AOtcBQm0Td28k2d22M36LjD6bVWfY5c1jrjv9WcXuederfm Xv/Y3twS6kC69iDUcVD+c4kimrsgXGc2Hs6tNlwWlGPURUxDeobZwyu2oR52TW/+Ez+gWbxz aZPTVPoTAdfVPjhgW3Go7/vaA2iwjjuUOixcHWtgaJ0JdQwku7fReuM8y8eM268/5ucFIGVf Fq5/FG/MvJ5GOSh7yNSuzxmwKRITKuPW3QDOgmrJJXNdo1DXm6k4agAdUk2FN4Y18iY9HMp+ mPOeeP4aZej1IHAdMWgSN8gRMuN1PKDcUBaujjUwtE6FunlTxF4Zrbdd36nBPhhs7dHLSi09 /aN54z9UY0Cz4yFHqSGu/Ug5I2w6zOwinKeIv3DEbKGudciYFWl0gx6WCj/0zeNNVDm3hljP DownBk1wg+JNr/zYFx2r48GVUKDqWAND66B3d629fx+tdzhXUE/pHizS0z8YT6kR5wcvwjUg 8Ftmikm5Y8H0YYuHcbQF/esRfGpljkhVjlFMTENiLcGa3jl16KBqo0dMpR8Nfn7x5qsCrqsZ D765NQeHVyTMOVDHHX4opOcDzPndp/DvJWDsda3jgIV5R+qN444WCHR3Qv3+rKDszwWuo4xH jofscfjbgHmveVP3e8QOfUEoWBsTGWBo9KY+hhv0oBC+0ZDecG6oh81gHXf4oTCHjrWM1vuY E8mHOo0n+Hfdmy6hjmK7Jjr8YKgX9SACZto3MXgLSH32prmnHh7jdUQ4vTaTjrWM1tudEwh0 HxTqc/h33RtSqOungbrQ/0zBycLPyWMsFIiL67+Hn52lUNfm2nlGix1zix5knLmSAvWuh84U Op722vw61jJa7+ycuh5TBxyUG/4h/jXxxpy/TMv/zfUJzKbHt/ojOvZF9jcvtbU3CHV8QtR/ 9j+d2fT4Vn9Ex77I/uaFVnuzN3VBEARhPBLqgiAIj2Hb/gFov51KNas+YQAAAABJRU5ErkJg gg==</item> <item item-id="3">iVBORw0KGgoAAAANSUhEUgAAAFYAAAAVCAYAAADcmhk1AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEkSURBVFhH7ZfRDcMgDAWZi4GYh2lY JsO4YKAh1CVRywuK5JOQ6n5gcyZOa0iBoGJBqFgQKhaEigXRiQ3kjCEXSghk85ZMzJXWHfmw bORtPIv18VNmjdjgolAXs3FwWzMx5Pr5knwXewe5uweRSXRT1BPhJ3Cp2M2TNZZ8a1H67mGc iB0/lnUmnq0hhzFQmTAOeN/UnDLvUi28YR9jGIjdZ8XjxPKNr/nLzec8fYx7KsY3thQIbKws dkbefg8xlsUGt18KcV0obL1Y6YCDQ19GFDmIJ/OXWLGbwhrz+augL+onVGwkjYN3ERNeXInF YnmcyGL3lxdyyFe4wyWffNj+30wft7S1x/18lijHs892zF33v3C9lF9QsSBULAgVC0LFQiB6 AaFUVyocArRmAAAAAElFTkSuQmCC</item> <item item-id="4">iVBORw0KGgoAAAANSUhEUgAAAFsAAAAVCAYAAAApZJKFAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFUSURBVFhH7ZbbFYMgDECdi4Gch2lc xmFSIIIkRkULaT9yz8mH0APJ5VEmMNQw2YqYbEVMtiImWxEme4F5mmBetk9lVu9gCvPH+DaH ZcZxSjgPK3aQdudT6wBW8K6aN1DJ3jpDAj+RnSTMYbnTR59FXz24wzhY59gaMX+yyAG6s8Xk NBAERPlVoq8Q6ok7Xqu+dFL/Tnaa1wE50VLbU0g9Gjua8kg2ufdOsiz9N3EJuUIyHa6SUo++ 6MhD2fc7SxIrxSWDZeccxv0ZyjTKVn6VSLLZwr+iGiOf0lbhh9cMj4bEmmTnAdVkp3lH39nP hX9L8zWSfthQbFnpm7jmeKfyRF/BZEc0hTfLjmBi/C6lcKlncQt56o18Z+sJT/OIsrfEUA7u aNzdue1aeg/q+WTReAL2Avj3ThZagi2k3NcLPgf6bNhyRi9MtiImWxGTrYjJVgPgA4r/uPi0 Reu8AAAAAElFTkSuQmCC</item> <item item-id="5">iVBORw0KGgoAAAANSUhEUgAAABwAAAAXCAYAAAAYyi9XAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADjSURBVEhL7ZTrDcMgDISZi4GYx9Ow DMM4GGwFEG55if7pSUgoOPp8FweDl/UHHtdvgd4ZNKa/LASu2lMDdOh5n+XREdDVT3dUAAMC NLjkuG1iT/o39O5olCIFGN3a6M5C3JXKEY8l3K/tAgPY6M7iujlueAgYAO2RKDP0C1CLUkQx jTovgTzttNIZS40yugYvMa0AaQbzey/wQ5RSvOawBjNQuteW/ItUNwes31emVNc8kJylC4Qt XgHK0NB+Cvhe7uV1xxPYTPZbSw0W8fL5tgJA0YSuA8Dc/ehFcczhqC4DER9/1TkNA903ZgAA AABJRU5ErkJggg==</item> <item item-id="6">iVBORw0KGgoAAAANSUhEUgAAAHYAAAAVCAYAAACTxxrlAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAH7SURBVGhD7ZWLrcMgDEUzFwNlnkzD MhmGggnlE8cYcNUk4kpI6XuAOb42LGbqlZrGvlTT2JdqGvtSTWNfqrqxejXLshpdfotoN5ta 7J7IWKko2qzVc3Dm3EN6jdw5dj/nn409BPsqs+3pbwuqNmt9oZYz7JtR6b43lDNVHQcEgwPz IGfdWLcoBEu/SblObCiA0lgrX8WlKR1dCNA/KEYROZ6yS53GORlvrDbbN7vpN6VxY/dN2b/l 0Gl1twj2Iq/2PwnMOBsrwRmNDddfOrqT8QtjXRWXHZy+0e5/vgNOnc7p2gb+07yLQSnwxRHO LMOZGKsjOEA2GHPSoLFHJWdvLHEmSNIxV6/YHJ8Isk4b+HNDrkdVWMcKcSLRGUlA5N9EYlAb Akwxv3jLfYVfJTtWNB7GM/Gutz7+LiHGSnGejAWDhqkGOxYRDWwFSbraAzE23AoFqww/U83G WjE5c2MrVxBf8sbSZ7NAtsP1ZVKYXcjkz24WYlSFGCvFmUQ/w2v77vTpB8bC+bA5eSy04yCB tfPw+TETsVEVZqwQ5ze6vwKKw5UL2eIa6+bxYzqY/J2M62HZkSjYJ3mjga3CIsvPEBQzHkuC k1FWd9JVNVNyazhFdieNcz7MWCuoVi60gy2vuodokPN5xoI4XciZc3f1cz7U2KmaprGvlDEf WBaKrjy24gwAAAAASUVORK5CYII=</item> <item item-id="7">iVBORw0KGgoAAAANSUhEUgAAAGAAAAAXCAYAAAD0v0pBAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIySURBVGhD7ZkNrsMgCMc9Vw/keTxN L9PD8MTaTREos9rtLfslJu9DFPgDLpmDH2/lsgBbCLDmn8exQghb/vm7uSTAFhZYJiVq5tmf RL8AWwA/OUFb8PDtGnQKsEFY/ITRQ1nBLyHe9r1UAqzegXP8qsZBrP7Ft+lv7Q+RYiLLvzO2 PCj0clsXmOMfCBGAVnVOHEmYOp9RnOQ0PasvmXe+Bdb4R1IIEBMUyPWpIrhEOlB9yiKUicNE dsWxenC3jCFr/GOR3wAMnG09rIrzSsaEu2NfPKu7ipMfc5PAIsY/FkGAvcrZykvVbRkl+Qy1 hYs9UpUb7kv2hmVHid/is0hry3pVVS/FLACiz1Bs8aPC0p3cvjcIoMVv8lmAs229YuZ3RWpN iwCodhwduZUbP9M95WhBsZhRk/15Ic5raPFbfeYQbIkAWutl0kHnAqz+uYd9zFCY6p79bl4o i+AjOInf6jOHYFsJILZeTMLjA4IhIXhO7VQ7itr27ReAjhppnXEWv9lnBsn26VUKlG+9spqP ZEqXthft7MFp81MTQG9zmmhpqRjinyhA/oU4/FxlAqRLyRnFhiP5j4WtaG3nZt8MjPHPHkFW MKHiI22FVrZQ6UPuGoXRZxbBtkuAZDygKunHMq39PwWLzxKcbZ8AqX2MyqsUrc/2cXxvpo+f VzH4jP9j/W5tOwWIxC74fR8gY/2msF+AyNQE3SDwHPYqt46mSwLsl02Y0YPemP/ARQF+XAPg D+uQfCoDk0SVAAAAAElFTkSuQmCC</item> <item item-id="8">iVBORw0KGgoAAAANSUhEUgAAAkEAAAAvCAYAAADkZR6uAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAivSURBVHhe7Z1RsqsqEEXPuDKgjCcT eNPw680kg8mlQaMoICAY0LWqrLpJjDS9tdmg5+bvAwAAAHBDMEEAAABwSzBBAAAAcEswQQAA AHBLMEEAAABwSzBBAAAAcEswQQAAAHBLMEEAAABwSzBBAAAAcEswQQAtMDw/f39/9vYctp9N 70UxfJ7qO0lfgeOg5XUIaflFtHl8Xu/x5S5o2RKYIIAWGAZVGkd04X2a1+/X5zFVS/m3Kp6P qGr7/rwepmhTbEeyDUgiPi1l8Pu2mzIQouWGn2s5MzwljlgThJZ+Us1kGTBBAE1hD45vVYSX NeH9enz+Hi/rPT+m4FJsFdlm8ggro/N+W7rJ4BmvDVrO5JrJI3jaUcboqa7RtMEbLV2kmcly YIIAGkIXglB1lNlolgkyRVzPnKO/fx2Omck8Qlrq9pNGQbT8cshM5uHWUumg3ztigm6u5USW mSwDJgigFTzL7Utk8IxfwbBnnMPz/ALTLElmMgOvlkaT9Ns4aOki3Uxm4NFyeC5ucx5YCULL XDNZBkwQnM779doUlDYZPq/TrkgzI1zW80HNjGzUPkkD91Rs7aKbyhX1SjOTqURomXxLDi1t TB7SzWQqHi31ysX4ht4nxwShpZBvJsuACYJTqTv4lOesePWMVgr6cltVx7lYxLIYKHZWmHxc U69UM5lGjJaC3i96BERLJ5Wf73Jr+d9CC3uLkxMtvxwyk2XABMF5qIL17OjCnXi/nj9frpYi Ej1efplnmrvPGrm4qF7pZrIScpslWhO09KGNSmo+ipK7EnR3LZdm0N7OlBMTBCchJ3wjg08y dVcOdlGDpTWLsmZPIeZiawp1SnG5pl55ZrIGkt+8gRMtVySZyRqIHmi5z56WqXksg2WCtCsd ndh6O2/pTRKxJ3LMPtAUsmz900J1hNQBqxx6lru5Htfnvimk6wd95+tZYjeFV7+OMXRX1Cvb TJbB1tJ3PqGlzd6197trc8Y3eKOlzZ5WvjzWZWWCPMX1rKSLo481N3Iy/CBhkIcMAD3dw17T Q/wlH5S8ml62AZm2didSaDkT1rL9MQAtZ8Lx/9wEKZf2sqUyjvWsQiEJSGxLG6F2C1k9xFH3 1G8z2+l2AiOIQY+ZqWnO1sfkt1xxvJteIdDy56DlCFrOlNPS/0yQXpU57zaYGK6ctvSsoOuz IoezL+aj/MbhF0VfD7E5702fNXfTKwRa/hy0HEHLmeomSBr48zi28TNZikxydCKgz8W6xF20 oz8z398sf0asBs1Lp+EtyGgKre3bmRo5CZFwAgTjVmTdVkyM29tGpMaH2Gsjsi9JeUrQp0Vu p1cItMwHLYuClgvKaekc+c09V3egyxWb+FWYOYHO3QPuULcxGgv3n7buJ98It78FGfw/pFcl J0ESToBA3Oa1xJByUmbEvXPi72t8HHcbCX1JungT9GmR2+kVAi2PgpaFQMsF5bTcjvw6SM+t Kf3ZsmExILGBmES5kqQT6z3OXoKNCTrrtt3U3jeWSjlZM/9FgWfbPYjPLMr7qSdlfNwabbZC bexpbDiWA18bkX0Zrwvffkdic+5feQtyA71CoOUWtDxnC4KW21iXW85BFausjx0cnd4GEcH6 LLLjmuW+ZkDWgavj/R80QQqdOJ/45lhnmSAtxLLDlXIS7o18L9ZoGTZxfzlqghxxjyf6t72g fiMx+xzF2UakBknxpevzU26vVwi0LAJapoOWAcppaZkgsyLjCFAFLn84pj+fBNEsO76Hva/1 o3Ha4fo6pBKqEjl4jZJJeCgGLUbEtosjzmo5CZJ4AuzlN/mkTIx798Tf07gEvjYi+5J08Sbq 0xq30ysEWh4HLYuAlgvKaTmP/Do494rK1KEyA77rOyqxzsTYHXWuZui4w8lwGR7XFkZitOOW H9Krl5MQdl7CuOOe8eU+RGrc2xhm7L74V6yOEGojsi8R59mM3V5/3E2vEGh5DLQsB1rOlNNy HPlN4C5jYLaxsQK3fqzjLZCE2gZs3l8fXydv/P4ihq0JqYNuZ2p/2qTdijnxI9+L298b95d8 ExQfty8n83H0Zx6Nj7HXRmRfNjqHkGOm6Nkad9MrBFrmg5ZlQcuZVC3H+L5tz68j7gEt0B1f NLx+HcQ0Kgl0u9ScwVi+8+OTumpOziDfBKXELWbsvIfXU4jrS7vx1wG9rgNaXge0LE+aCVJI B6dOpHVoTpI6intZTxuI2AHZc4wfUDUn1TlmgqLjFm2LzUpKEtcX7z3uq4Je1wEtrwNaFifZ BE2d1cterl6OCVgveWl3KO/rAXdxjI2g8v29lZSYfc6kdk4qoU3nFIPrpC0Zt+zXkmaGuL6o PJyliZdRi3HbaCXLzMlmNgR61QMthWtoucB1qwctm9cywwTFUfJH465CrzkpFrcyXc8Op3Tv 17NgEcvBLnyy2rgZPHWxdc++skGvCogBWmu5GtTQ8kvbWi4Zja3TBKGl0KqWFUyQcYGt3ff7 Lb3mpHzc/RS1kRYKzvBa5WycaS0ra/EZpwG9CqNmyXZ0MniudENLQ0eDvfzvyS8xtNVXggxo WY5qK0EAbmQAL18UqqAu3Dbvv0ttXZkgibVCsUWvykjM62UCtOxLS2V0REK9qreOGS2b1xIT BNAdZiXIGjt1sW3vWQEI4Bsc0LIjhs9zvBD9JggtWwYTBNAbzsHTftYE2mZ6rstsa93QsheW P1TqNEFo2TyYIIDOcP+ZqSq2DS85g5vJDNnP3aFlF6jJiPyc1ITXBKFl02CCADpCCu36ERLD +/N6Umz7w9zatE0QWvbA/Gfh222+RtGydTBBAL0wPO3BcjUTtX8TDnpBBtO1sUXL/nCvBKFl 62CCAHpA/6ntesbJswbd43y+C3rEZ4KgbTBBAI0zPTey2RbLB9M+7ltl0AxrM+sYNNGyT1wm CC3bBxMEAAAAtwQTBAAAALcEEwQAAAC3BBMEAAAAtwQTBAAAADfk8/kHk3t/oWuyf+gAAAAA SUVORK5CYII=</item> <item item-id="9">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADfSURBVDhP7ZLRDcQgCECdy4Gch2lc xmE4EC0FsU1z1797iU208AQ14Qv8pb9nI61YUqHvhOcJ0xjl+OHjhFVaCyWeAxtC1nmDbMUN MKeM0MaccNJg5womQTahirXcIdY8I60lYbaGEI4zUqJ3MNZOUq7SthEjlTqnqValy1lu4OQM pPbIZfJmh1Qu4F5ay64bkfLxPZJyzNL2QSC9bZ/+m0ukYwATHLQvi5vW+ob6+GW4AsKLIqIn NR/7Mtw5bJ4Uc1HtJZynlTsp0dt4ItaznKzSjt15Txy3kX7HC1LED7TLM62eiHWrAAAAAElF TkSuQmCC</item> <item item-id="10" content-encoding="gzip">H4sIAAAAAAAA/+xZfWhTVxQ/774kzZcmqW39mNPXbGrrYq0yhcE6mqbRFta0tN0HDlbT+KzP NB82qabuj3U6RAZS2R8bDAb7+GMwB8O5v4ZgN5h/yNiUDRwIQxnuA2S4LQNx2O6c+z6SvKgk bWUIPel5795zT+45595zfve2dQOAgBxFdvK2BZ+uUO+o3JmKdWflBHBailxTInEhO/akYv3y iJJKily2E9meiPUO75djWVVtN5+U4dOW2ZfuSOVU8S6aDwX9huJLyDSYxqmeQ5feFQt9ols2 9d0ATOQu1xrGg9nsmDI8npVVjS5kDxSTpb3LX9xnYG3vKlWxlanUmFXsZSoOs4qzTMVlVnGX qSwxqywtU/GYVbxlKj6zSm2ZyjKzSl2ZSr1ZpaFMZblZZUWZSsMK4Gklqi/9idKL3/muvn96 1TUw0TOoOzPrAFuRTDC+jeQFnkTUn5mdndXFs4v0UNEdZKu2h4Q0Nq1dg287sgNUHJr5n/1c pAdD/ZDCTxYkCEMS32MwYYaC+1IDWI2ap/wRv2VcPq0O7yjWfe/Nl+t6Ri4JhELTbh1TemEU 5KpsFpMTmEC2aU56V/q9Ou0dhgMwjqdtFhRchySuQ0TrHazIKwlRsHg9K7FNmHlF0NshtJuA NK7DMOyv1H2Daudgn+pa0dpU17RjtH60f4QFhAFU/62g1j/p0O2CtmwJqHcPOnG8yD7uA8Ay UNe0HignAJYDP15gJfIq5EeQVyM/irwGeS3Q2gE0ItNh9Rjy48jrkNcjb0BuQm5G3oj8BHIA eRNyC/Jm5C2ab1thEZ/mSoJ6jJfQi7gzIQhCJ747MTtjWCEJrAbCBwe8gkW9Dcc7sHZCfE8Z /PHlOZxoEC4CnB/kc7ixbRXAZu8c6BncjvnxgpIMjo52RDNKLJTaI/dFR+QM+KyDSkLOSBH5 kNSfSkST4BMHJhLDqVEcCqXGxxR5jAbBZ+kZlMK57FgUs83euDk81bk52Jf3enYOBfv+WrsG 2/WeIOTD+XX5qY4hbHk9IXpNhfMbh7ryU1zSju9Xu7AR3DjUORTO00/Q4xawCgWGhJEIggCi eut20jX56C7sYvK6qHO8FR9HAiSOY+kK4MRuE3VzNNAMzHKsDdpE8KaBpnGpV+2jh4vmOKqY 5tDscDFVA87xtf9y0cSWY7X+TbxZNEvBfjOKV5NY0OYBzaqiucP9VkURLGAU+vzX+VfRCwEr R3Sq2GnGbqrjnmh23+BEWpa2t7RK4QPj0Sze7zkSGCPhHRwN9MEW2vEnIf/UZwdKsiqE+TKA n17ohyHkMDwP3apdDXsIEqmvJ+RVdOBTHHjdQWP4EL+ykOYtPkpIxWj9eEtg+EXeahFWajIX 0/XcrN0yXUcYtt7mQe9139EGRy+SrtLOD0K1aWydQ55ESCP3CDFvMxXl+BYREgnq3HVMYh/V UGsZtj50UMtBlpk6ekH43E5V8i/za+h8UsV+Bl5z9v92+u9DfyJL7f8cOuHae0q1w2OHrU7Q 1igwcVZQ5/6ZbRDmNzfTzt8+PPllyCDmt3Lcr5RWaHvAoPLzlwI571Db8z//oerzb6ZCvUqp WvsLTfOxz3jl3SQsAT3HaC9bAznQs+yGeNE23wxWrTBTJrcGdBuT7AhTbUzOzM1GIZJ6wwZZ a2puag5IUiQBfcLbttviTXgLduPnHQaiavsT8Qv7/GzfK77GgG7jNvSWraEwx/hKbUSMNbwg 7C1DmupsFOIozQYlftLIhh+E35c+mEiUeAHXrpXh2sJEEo9fcxXy+o71QUcyIlyqMefWXCMp tXE4rufWJGuH+dkoxLHEsEGSXblc7if2a01DUa1sL6uVhYlHMeK5IT57N7yhG4xXux3CBy7n uPtKbZX70hYv4M3HlrvUfImNKZfz1r1tFOIoXbO2y5vObLM2ML9Nj+dH9r2WZ9N37hPPwerj uR6ftNBtiO4vvwjBdDrTsyMUEoBu48SdckYZSUoDMUVOxuSA1J2MtSxeyx+Cazm8JhmPCH1B 9p/BJv2p36nttxO039+gcD/VSc9QNeu8/Ld5gLOk8Q0uqX9gIsP/b3DCdR9D3I/jW/R1OdJS 9DBo7ynyqBHe4I6QR09fr9Xsi0aFiHB3igQj3dWOLNJC0n8AAAD//wMAhQmbonAaAAA=</item> <item item-id="11">iVBORw0KGgoAAAANSUhEUgAAAN0AAAAtCAYAAAAqVm4DAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAV/SURBVHhe7Z2LcYMwDIaZKwMxD9Ow DMNQyQ8CRjJ+kjT83x13oQRjJP+SbGg7rACAW4HoALgZiA6Am4HoDszrOAzra1rc/rJOr2Ed hte6/QiASiC6kGVaX8NI8nMs8zpDcKAhEF3ITNlufGe7hfahOdASiC7AiGwe1+E1kdiovJy2 nAdAEyC6AwslOs5rdi43TtMKzYHWQHR7dvO3ZXqtw35ul4RfeNlvWIQBRyA6D5eULJLRy4zn dplpLlh0mWlumNsE+H0guk5AcEADousABAdiQHSN0QVH872RV0T32Dng+2H8E5Hs8ttAdA05 CW6mOZ77qDJPWGh5GI8VnV2dDFca0zYpM4nt7RTIgrTP/o7M40ja5EWcZ65yanb5ZZ6d6fyK JW9Jjg/fzcyArnUuO6m0migbUkZ8LKJdfhtRdCb6+MF42nKfXWnwAE5pK/V7heyFl3KdZVrH AtGZjOY+b5j3PFvN6TrbqZh4v0S7ZGED4ebDk4KD41+QVQXRUSfFMog73agEMgM9w9hmcHYs v9zgt465ug7ZJzs0y+cs00jXarCQkGvPu1H9V2JLDbsoxT6UmuTyX7sUH7tzMessOjJQ+OqT n6+0sQ9HnoIBYhzXc2Bxv1KFl4nLpt6xJoCRMX2U9/tlFNrzbiT/BXapg4MXlarKr2LFRMds c/I2gzzK9ZzOZYFWkYAHWGlbxjBdjfKOlrz1utTVAMihxp5309d/vmLwwfMo8GSb++lGxzL0 QnTuBpoZitsTsoi/0f0x6ea7ZzvmKLzvHtCV9iyhpu2u/vOi4482UezHbXag821I/TX3y/e/ Gyum8XBfJiI610BLxZvO6kb3kVCPiDYISIfsnDOyRYwgUVfy3US1Pcspa1v3Xz070fEe94uu 5YMm7+dd1yWcXRuGTYy8ucATBqJNlOaME6ro7CBuG5WsISJtuhvSs4s1RP/sQ9fpWF60otae VYHq0lcSPf13FB3j749vI1l0sQzncd/Z2hP3M0VnnamfVMrlIGHDUXbVjXOH6LgP+fd+GrAN tg0/EALD1NuzhpK27xWd7yPbaLoSnc9WKcE2SXS6bc6icxc/GYYa8s+nrLM149kbFY9dlkPj Oo7Utmod6zTpcKvykttJ/OrnqbZnOXLbEd8bdP/VI4mO8AErcl0znnM61VR0voPht83PXfTn z+74TEYX7au+T8hG184ZrbO4fRdt7HMse9hg+hGL7HWw8fUB841U2rOUWNuxd0m7+o9soWUp E5wait3cRxPR2Sh0yA77bTPuLk174wfE3ifkTLI/x2fNt9B9SXCOmNkRKQfub6+2O1Jjz1xS 2o75/tJ/brDGS+YzW7/cJl2Cv6NdOjz/tB1OPOqE/6SH7bO0LwdEcU4X4xAtyUjnV6LIEdH3 CSPROQqf94EoKUGDKjZ27qXUnj2I+T7Dfz/+mxcForvIdC5aRaOq+U7OQGGH6em6Do7WeYNW LatzyLZBhJZt1aD6PtV/9nv/seLIIVt0xrDOKNLgs5mQBrI0qT2QGvkyImQBuQsnthQpKX+C c0wJ1jKQ9LVTCrLvP9+vbyNfdIRfKXzX8e/o1OZ9wnu4rOXVrcEgai66z/OffP9JikQXcig5 /wtu0BdtOfM/jW8pCcHtNBEd0HBzFNpOQQmieywQXXd4oUYoR43oMNd5IhBdb3YLT0coC7Yo U8G/A6IzXK+2+kWX6KMQAT5PPgeieyoQXQoXj0l0Ys8A6Rj+O8kjgegIs8QdyTqH1VnphQAV 94wKf9sS7IDoGBJS7JHH9atvCv6xhNT4Dz6nA2lAdIR9qMuloHsO5zeX/cozHQBnIDouAY2i dNGVz+kAOAPRuTLvKnuFr74BUApEB8DNQHQA3AxEB8CtrOsfDjXdWF5NvG0AAAAASUVORK5C YII=</item> <item item-id="12" content-encoding="gzip">H4sIAAAAAAAA/+xYb2xTVRQ/7962W/9Au7KNP/LnMQUZG9ui7IOJ03VdYSQwljHiAiGlWx+s 0K6s66QFEwETYwzJiB+IRmNATDQxMeJnYtAYTXSZfjB+MSESJVH8YrRolLh5zr3vvbavQ1s2 4p/sbOfd++79vfu7f84592weAFBQI6guUbfh0x3cHde6k8M70loChCxFrSpqcaM6o8nhfu1w LDnKRdt21OrE8O6hI9pwWsIOikEZPh3jI8e6khnZvI/Gw4Z+E7gftQ1VxQkEcEo7bfl3IVWy qAfGxZT9JnkgnU7FhibSmkT0oHqhUGydPQ2F7wzsnT3FEEcJpMoKqS6BOK0QVwnEbYV4SiBL rJClJRCvFeIrgdRYIf4SyDIrpLYEUmeF1JdAllshK0og9StAmJVNFsYTWz//rObri5dXXQeL PAYcZmad4ChoU8yvUXwgjIjeZ2ZnZ43m2UX5T8kfqHb9DMk6HHqdnLsa1QkyDs38w/NclHsj /ZDEnzSoEIJRLFOQtYaCv5R6sJs+T/bDp5lovyq7txViT/3aeGDHL9MK3U2dHiOm7IY4aBVx FooLmELcNCaV5X5Xq5chGIMJvG3TEMN9GMV96NXfnixrVipGwcL9LIebYqbKjHoQeRNwDPdh CI6UO31T/HfBT34d0+vk1zQV2j86P4oFFAPI/zeC9H/CUHZBR7YEZO5BN44PtUbMAWAZyD2t A7IJgOUgrhdYiboK9T7U1ahrUNeirqM9QF2PSpfV/agPoG5A3YT6oM7biOVm1CbUZtQtqC2o rSCzkcW4ND9R5DVeJIN4MkEIQDeW3Widw+ghCfQGig9OOIlO3Y79Xeg7QXGmDHLv23CU17/z i+/PwqfwFNbtCthZ955dA+1oH0/ERgPxeFdkPDYcTEa1vshhbRxq7AOxhDau9mrH1f5kIjIK NXxPNjGUjGNXMDmRimkp6oQa264BNZRJpyJobdXrW0OT3a2BvpzPuz0c6Ptp3Vqs13kDkAvl NuQmu8JY83mDVEyGcpvDPblJ0dKJ5dM9WAlsDneHQzn6DXg9CnqhwlBwJYqiAJdZt4vS5GdO 4Csar1u8xPBxpplqR9F1FXAx27Md0MEp+RaAKKJXE1rR8WCME6VHZo5ucHHgXH6+r4DsubYS MjizSY6CtUba9/P76XEACueIvWJSOh22e5T8IMQtRqKBT6tIOzPLXTJ2WmM3+fGuSHpkIHtM U9tb2tTQ2EQkjfm9iARmT2ibiAZGZwud+FbIPfLuWKFRMWcgFYvE1WA2NaU38apH6wQv5DNT ejcM8nHcqrPY8Uk19WEk4pqNkEtEEkqRitGKRE1h+KGotSgr9TY3M3AeptourKQYtdHhxRMg FsBITxHsKtbfQD2In33M5d9RhPKYK6QdoZj5O5NxjohpvlsUOXot62Qvcqotw9prdqo5iZvJ Xs5bFfKT26xBj8/nZBrNwGe1/8HLPx+PoKqdt45fdB8akzyK2PGHXGLXKBK2Nb+305GBK4pk uMC+rJYMp2YqY2D6/duHN78G4xhT20RcLVdW6GfAoPz7l5bhccr6/O9/qPj+mykTV65Uyr/Q Mh9+w8KY8MAf8SzphpeWRi2bGpvVPuUwPw8HYQ4Lm6rEhiUDszB88+0N9RX4CN5E05bW/AKf 9kiusOkvwpzL5sqvxmly0QhHs126xzDlus3qk5Vx5NdTzBHLGl7J+XWYH0d+HV6Tg8aOHUWB c/ChI+ystRt8Kt9ov9drGuRx90KtyWVyUPTIZJhisLyt3OJWa1uYlUQzhpVdYDtLLPpuV+I3 OShvPrEvgzICPY5r7GTVF3gnvMoM1in+zoKtrHj/opmrpgcN8mslpwQyRfHp+RW85Ha54l/5 K/SgjoxxRi+zm/Y5IkIRx1tu1+07c9xpJd//Nm3Ln9IhVhwvOi5dalrj62QfmHvayG/ai0f4 4TaNQHkC3eQ+Ztzke/fa2L8rK8Uk7GHMnU9vpUe7TeRk+czNrUBRrhltuGRkeEZ1TlwTNOH7 CPy9LGbFc2XF9/pU8jmm/jeYECPHNMTwROllPv0f7lcIMYUn07AnOy7++08eRZnQenheDEVj Xrnh17/npifzO9hAb6B3Rxmmsij/Q/kTAAD//wMA/DFbXHAaAAA=</item> <item item-id="13">iVBORw0KGgoAAAANSUhEUgAAAREAAAAsCAYAAABCB4xJAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAY/SURBVHhe7Z2JtaQgEEU7nImhAzKP ycBoTKaDcapYFJClFFxw3j2HmW6bz1JQjwL9/T8zAABUABEBAFQBEQEAVAERAQBU8VIR+c3j MNK/AICzQSQCAKjilSIyDZ/580UkAsAV9C8i0zB/PoFo0LVhMq8BAKfyikjkN37n77jGHdMw zNAQAK7hBSLym8fvd141ZJoHhCEAXMYLRIREI9jK8PbGjUwAAOfRpYiog1N7DsKigcgDgNvo TEQo6mDxsKLxG+cvvYeGAHAfHYkIn304AqLga0cPUY0gBalXQVqiMzdBXcEF9CMi6qwjEIyq rczbD2BxwAyuoRsRUSut6xTVWxmICAAt6FNEWEBoGzPwVoZej4d8BSICQAv62c6YyEPt9dUt XXKS5fURZE4WPWtYUquH2rgvkrKk+RiICKjF+Bil3CMTHR2stkbiZJQnIlJaWNwH3CqInfXk UGIqqRsicgb8dPSZB9Znl7+f8GHOLf+xiPyd//z5a14niGyV1CCTMrcZZ1b6A9GMEpLSzwn6 B8TYcT/Lwc8uf4vwzibPtUK0DxHZg9lStXoaliOao2WVVyyISAvsdvasJ6DPLj+NTER4npXa FoiIeRaDFXFJjcL2x7HXycz+sNlKweUlbGse3fdsb6/ZVaEYjTxMRIwA+3PLRnTGtpvk2sef m8mJLbFdkbWuXcMtrvtA+U365SITERY53cZ0m30R+U3z5LRmLaAeq7jJ1KoiMXuczBjw0GAl UBMgP4g22ohHHdrx0mZ7YiQStJmEZVg9wjl/CvvG9necxwhSuu8l2xVYHPbY/C/WXVF+Vb88 JCLC48B5VvtzvaGAJ7czLQXkmcidTAtgWbX3oCZBqczs9kk7WjrU7EBEPDIi4jidm7JhdtZ2 cuzit6ucHXXvLr+iX7sXcrY7XZsGK+CBmBuiIvIEAYl2skFakTmZdvat4WoRiYgatIzTUX/S k6kzEWHnWD6IiMjuKDBnu/3o8ZI67/665eW36heXk59/SgcG5wu+eIwi47ARkbSAUKWbLz/W HZIYdrcKno7AycwKuOkfGXMNw/ltagJk7KPKzg/ib6QBpFUgbpuMQyo6ExGyx2qniIjsjATj tpPP1xRqrNNGV+THLU+p/Hb94p/J2ZTHgLcuaw5uW6wOT0Q2AjJRKGNeJpnG5qt0W8hY0W9+ LziZCRs3A6quB/tzk2cN+xyS9tGDlLSddSpH/XkCefVmHasvEfG/jS7Mp53Ei0Y80QnI2e7s +Voatxqa9qsgIk4dGjtfp3kMKlpExK6mXnJGW0USXqEaNfjUuTNC/nPJOZmexBt72OTYge22 mCkysXP2YZuG+ZdxWAo1DkTX3LylFesyEVFixu3LCRqx5OMU2ELZx362Jt82wZhE+i6xnWS+ Rn3BTQfrtuwtv1W/fPIiwnV67c6Mc/RMJAo1cGs7agiFOxNFLE8lJX6tnCyMDtxtTtk+Vt3N WzH8cwWnvToSObrCq8kZ78smMq7m+fP1GPf2SywifrhpMOoUKu2jiIofQ47YYIayYi/FUF0x 9c7aR+XZIyR6RS43vU3/yuj2xFZnERvhdaDPnC15PT3M1yPc3C+hiMQnpF6FSQWv/mtzKmxL RRg+UfFTNHIyHkBTTngmIrcPO2IpsmCk+ZhG/XsRt83Xk7m7XzIRMU5rlU5tEWiCWge1769k s2eLknOkdk6m+v8w+4T9W9qgxjItRNJ8PXLveJzH3f2Sn4k4eCH8LZDqFn6zUBGIn895K/X9 9mG2/ZtYeAUNk+YDgDkkIvdDDiLYyuQ5T0SewbZ/6yEwizCtWrwltMm742TzMS1sDd5MNyKi QjU72TnCYAcxkYZ3W8teK058cg7rQE7qVVcW+7jJ68ykojd9KScibj6G8jY93QRvowMRMc5u Z7U5iXb9g7cP/Ln9HwQom/G+WdsyeZYUy0fXxkm/h2lBjIeLiFkxvdnL14IDPyMs5YNWsBcl zC87YAVtebaIxO4Q2K2MhxYbrJStIbvybUO2Oc5FQIJHi8jmllVkK8PwQeDRX3gCANTRj4iw gNA2ZvNnImiVtHv35r/wBAAo8uztjIk81rsH5pCVXvOzDP4dCHN+QtdwNgLAdTz8YBUA8HQg IgCAKiAiAIAK5vkfvw6FaTTS/iMAAAAASUVORK5CYII=</item> <item item-id="14">iVBORw0KGgoAAAANSUhEUgAAAc4AAAAvCAYAAABqiSojAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAdaSURBVHhe7Z3tkaM6EEUnLgfkeEjg peFfLxMH41VLYBDoq0FgAedUUbWzC6bVF/q2BOv5+wAAAEAxGCcAAIACjBMAAEABxgkAAKAA 4wQAAFCAcQIAACjAOAEAABRgnAAAAAowTgAAAAUYJ0ALvJ6fv78/f3u+lv82/F0Rr8/THKM6 BLaT0vKLaPP4dO/+xyxo2RIYJ0ALvF6mNPbYwvvsfzYF81stNcXz/ekermhTbHtWNyBKolqO vJ4SR6lxouWCo7SMgHECNMXMHN9vUzZHpOCW1wlXcCm2hnf3eQyJkD+bHD/Kp3sriTQ6pug/ jbnqZpxoObK2mawHxgnQEHYmEqkC7+6h7K6nxdYVGNuhPzrPjO/A2xjVdMw2lzvnIazlUPS3 GOe9tdzWTNYB4wRohciy3lA09ctS/izl9dQU6osjud7TdKJLtJMl+A0zTrR06JvJOmCccDjv rguYQ4u8Pt1h1cnNIqY14GVmSR7qJcah2PpFV8sV9ZKCu99SbURLu0Tb/4XdZ41xoqXD5YFn nHAL9i1Y9TkqXts5SxGYboGCoOuwJ8UlOJPNc029jGntONsMa/nfRAt/K5MTLYMc9rzaB+OE 4zAX+fNEN+7Au3u2sywmS4BK45TdU89Oo1xUr3G59JesX6pFSx/bqGjzsRGMEw5CbvwWCtYa 9p2hlCM5XPtcbLl8mOaaekmRPbjGRlhvnGg5Q9VM1sEzTtvJ2KWA5XbcVFguipzIJftAU8iS ShsVawVaw6qHv+wXi8EV0vnLLuP9LMe5wmt/LmkCrqiXKbBeHfOeOR6NaBbSEy19cvfeb+7N mXHOzagX8aikS+dQaohyMag6NvglZ3u+MucM8dd88eNqevkNyLC123yj5Uhay994wMQ4jXN3 vlSuyznq4loxi7Tm2e7Fvx/SZZ1p3K5DPm3TK0hTV9LdW47Wx+W3XnG8m14p0PLnNKhl/Bmn nf0dt0QrJr3mXLb7OPVVsYajb+atxJalToRmNeR0+sy5m14p0PLnNKhlxDjlBGa2GXP5Vcuk btk37HEhcfsYvtNxd/xial4w6xyn9ektSd9IeNt0MNVzkkJxAaTinv6bKghl3NHcFGq8idw5 Csei0lehT4vcTq8UaLme62oZdAu3hhwJ9FtsNQMZExhMUqKjsLH0Bh5+jTyffBdvfkuS+uLm PXKSRHEBxOKWi3E4sb0wS2f8K+LOXPh5jbcTPodiLKqbV6FPi9xOrxRouZUrarl0CxtkroiK WWkH4hIVSpJNbHTWmEuwM86jlpSH8y1jqZuTOak3nu2W/RA/7m3f3Vket8Uadio3OY0d23IQ O0fhWPr7IrbfltiC+++8JbmBXinQcskdtUwxy3o/wGwB3WoSrojbwM25/k8apyHZcbjPOvJZ bDjZdXOS/hg5Ttc5xePukRtslXEG4u4v9O/5kvr1lOyzleA5CjVQxafX56fcXq8UaFmFi2np Gaeb+QUCNIH7L9zKILUDmSbJfML0S4qnS4gLzLlMIl9Rc3UJHz43hBWjYMuSi7NmTpIoL4Bk 3A7Rvrz5UMadvfBzGtcgdo7CsahuXqU+rXE7vVKg5Xaup+XoFja48MxtOSCTCPVAhiT5yXLE Ps8faHDWZONOJyNkkqEtjcTox+1/CXftnKTw85ImF7dg9jEXdnno2riXMYz4Y8nOjFeROkfh WAqusxH/fOfjbnqlQMttXFPL3i1c4CEzcdv8ZCLGOpMIf55LqG/a4/42ob2x2+MnRd7OkquL vcTNxof4+807b/2cxCm/APJxS+61F5M2brf/UqYyjbeRO0fhWNRL2dqctsTd9EqBlus5u5Z9 fN9zjz8XrE+GWG8SksBwZ7PmM+WYVi7qPXKyP2Ks+tPq49YtBR9J2VjajX8f0Os6oGV9fmKc 7vjhzxNsR1L6uZHP+Bk75WRPTCfnXZDm57Lzr4hbtK3WydakbCzZ57hXA72uA1pWR2+c0+l2 cKAuAfOpte0o7DGSBJewcco+RY7PzSJL9jmQ3XNSH+nihnjHbZ7TmnHLfg1p1lM2FpOHAzRJ 02vRb4trTJaz1I1bCvTaD7QUzqzlyhlnnvP8pvHjOGtOqsVtGgx+H+ca/MI3ND1ewbXFNtS0 bQC9dkBMc67lzNTQ8kurWu5gnK5z4PnClLPmpH7cbRe1AC0UnFc3y1nfnU8ra/VZigO9KmNm Vn50YqQz3dDS0bCWu804AcJI0a9fFHbB3LhtPhuS2jozTol1h2KLXjsjMc+nlmjZvJYYJ8Dp cDNOr97aYtvecyxIEDMHtGwejBPgbAQLrv/sDNrGfzlvrhtatg7GCXAywq/nt/n2IaQZDNR/ jwAtWwfjBDgRUmjDb1u+P92TYns+3LK7b5xo2ToYJ8BZeM2+sOLt//KF5XcQwxmQF73mzRBa tg3GCXAG+v/b5288Bzs9sReEoGkwToDG8V8kmWyTacqwT3gZF5ph3gAFTBMt2wfjBAAAUIBx AgAAKMA4AQAAFGCcAAAACjBOAACAYj6ff1i8qHzx6P6cAAAAAElFTkSuQmCC</item> <item item-id="15">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADXSURBVDhP7ZPtDcQgCECZy4Gcx2lc xmE48AsVSNvc9d+9pE20+MpHC/gCf+nvcaQZI0S6D3gNCP2K88EZ19DSHOngKZR1SWF/XhIG CJhKXxOH1HhzKbjEExyzS5pYzm3SHAHDFm3AAql/Uivo+4vUyOCEhSEdmXeWbEWqernTejmG ZcVxUm2IU6oG4DDkuk1NyvuPpRSJKdyUXpW/wgPVszLKb5sXg2K8YZmDIsxPqlYgfxM403c+ KeZmtgo+J607pEQt44lYejnQ0sr+Zh87zpF+xwtSxA8UVD9qV25w4gAAAABJRU5ErkJg gg==</item> <item item-id="16">iVBORw0KGgoAAAANSUhEUgAAAW4AAABDCAYAAAC85+/TAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAnESURBVHhe7Z3psas4EEYdzqsJwRlM Is5jMnA0/vUycTAedUsYIbS0VpD5ThXz5l5jFnXrqBH4+vYBAAAwFRA3AABMBsQNAACTAXED AMBkQNwAADAZEDcAAEwGxA0AAJMBcQMQ5fV53G6fx+v9ed5vn5v6//vzbV4D4BggbgCCrLK+ 3e4f9vXrof7/oXTeCz1Q6H1ul0e/nYIT8nr48+CmEgHiBiCKlvdXmu/n595d3D23D6aGCgeI G4AUEDc4ERA3ABIgbnAiIO4xrPNUj8/z+USHnI65xR2cJ1ULbrJOCMQ9ANXJH9/OgUpqRlbx 0c1JiqH5+f5USu9Ba3G72zLn8B2JwFRA3APg6gyVDcihpbjV1cLT0TYPRCggpgXiHoSRNy5N gYyOV2bU6ZGHcwNxd8KIenclajoNrlBBnF7i1nP1+ykePXUiy8ucdUEXIO4OGDl/Bb2Z46Yf 70h6kKCPuCn3vh8iKsKIH+IW0mmQg7g7YVfc79fn+aAOoxOeGhyAOB3E3exei/OEDRgPxN2J 0FQJACJaizs0RbJA+5NW4ra4dUXJBUm3J2zADoi7Hb5nZSFuUEZbcQenSFSB8fz+4awScVPe 10y9/Do5A6JG9JkPiLsN3NhWxbE0fqm4v1WMs/zyQOAb+HgZdNJabp79Fy81Qmso7sgUySrd kop7K/AevKf4sNpLCdbXcLkDokLFSvSZD4i7AdwxnOBUTpU0n9+cFZOgo9jJu2TfJvbnEPci j9Cy7IPWyxP39v3toVjM8shi+FgzK+7IILsB4q5Hd3YngSHuNgwWN9FO3mcQt5R8cVOz8FVS j/io9rOfxJqB9/Phab+1XYNXlLTYbfgd+CMCh7gbQI2IirsPB4ibaCHvurnfOcStj7M8z/3Q 9mfMf9UWuxu0Oe3qwF4JtK1P3LGRYcyliyRpRyd2DJ28m6q7s7iPj1GIxrE7SNzEro1zj+P1 nEbc67na+zR57choXZeEpCXOP7d6qoT6zkExr8Mn6UxxO1caVEB4m8IvbjdhTABHNCaPMsKE ZTkWjmbNMW3kWUqaLS3uA2MUokfsDhQ34cp73KD43+fP7Y/67/GMvkEYni8+P+6x+wfECNLP fLz+Va+rxfyoUCPEYX+QpqDKYAGMOLaxxNvhyBiF6BS7g8VNHCPvgvZsjq6mx0pU7/PgkJdD +TrkeXadH+E5bq6ixgSPOkjJfng+ctpI+8nqtANjFKJb7E4gbmK8vM8g7iOg8z7LVXQB3BdH xC0qbj36tRtBaGeh0dQXMLN/7iz0mn6//0ZgvLHsThdbzoK808ZiZLVfVgxjcfLRMXYCcdvx iy21jJU3tdcFxR2cQhPmUxUN9hE8/tbo/PBmNVdDzQ5ibRRvP4yMVHwcRjz7uV1CN3Csfy+d LbWcBWmnjcXIroLlVyWJOPnoGbsTiZsYJ2/dMaUh+BkS4kvnUz1V+zhc3HwArRNTS8HXD7WA Qo2Ukonu/P0vX8ch6rSxGPFr9jZyRBCOk4+usROIezRbeUvbNJd0vNZjmGuJwkVATHyywsId YHdLNKdk+/Bi+mT/lPWK2xx45PJ6bZic71C0haA7LG9D7edvtPMroiNZovNPSFqyiRhRB9i8 Zrd9inCceHsmOZfkj4tbURO7E4qb0PnfS9qE7pjnO/PGOLkUzxWDZJ1aAvtIem/EsTE6Pzbi 1h3Rs3N1UPwwg/q37DsUt/LYfECBR9rQdtQ+lDReQUHozh/r37qx00sM3/otF5tUm6ZixK9v GqRU3E6cfPSMnUDcvrb0Lc3g8+3dOXP61Q+RFF8qn1oQ2IfEe8njb4Xe/5rVvGN/BfTtwJF1 4ixC8EmEDsR3wrTu2kA84rkdmY8nHkRfR/YtZyHaaQUxaiNu6Xs6xu5s4i7O/VzO8xz3WCiX QjknyKdqIvuQxF7goiZsn+PWHdWX9HqxDsicBP1ensT29vcnR4203da6PredtU97GmAvqfkJ i1sYIxKe1UbL+2TNFI+Tj26xE4h7HOachhxPoKL7eUJ5KsunOgT7SHlv1+86YfpFeTlCG1hO NMkaFP9oGarcYvxmglefEyeYtQ335yipOPnoFLsTiZvbYkSnZK4qbkrVCT45GfDesGMvEreS gOjz9Dvs0ZQS0yN8FoxUAIFt/AAtOq1dBecllCBOPnrE7iTi5iuDoSK9rrg5j4YNkBkIvFf3 h8UyKBN36vP0ulO61QlXLPweOrn1smRfxUiSdv7EXttjf4e6zblZbeyVX22cfDSO3RnEzdXV oA75pSS/3ffo+PZvvsSxZrcf5VzuuQ9A4r1RA06RuIXM8e0VB7EZvfeJn99pyzl1nI4WN19F 5NzHaUVChi4sR3f9UeJWxK62+Ngyj8OpbmfA//e4O9FH3LpKO/081ZEkhDBG3BPE6VBxm6uN iv2XXzrniDtT8r3gnPYcB4s7vx2GirCW0QNNH3EDEUbeVI248uQpDM9ymMMGsE7ROMtBJ83H U3XpWyNU+XvpOM8y+PK9ADdenOclAxgNnKUD30Do/EZNkSxA3CeAK5LflvJstLgZydso7tBS cdN6IbnRa+3zSrfNMrA6x+irun2/A3VA3I0xVXSys6j1yp7MAd0pvLRfMVMsJLbioArFzcfq W09Lu3lB4FSX+/sjvsFCeC5ADsTdEFM5izpL8g41OAQz8H7jUrsUx1Umu+iVQaSICE5LLUvo uJf2CZ6XFvd26kb9bvRUwq8DcTcm0lnA2bEq5UZL+dxzX3FXYQ9uu437xK3a9QFxNwXibgzE PS3buds2S3keyMStr/IGi3vBXGFut6/F7e7z9ep1EBcF4q7Hd9m5/IEm/TPNl+qEHv9BDjAn QnHzeoGc6iFutU376053T7TwPiXHDaqAuOtwHxlbJL50Fq7izOu9vrED/CJSceuc20/JLIVC 42LBDAZLgeJOlXC++36n1m06gFwdiLsCTmKnU+yqnLXyRuICOXJx63XPcCWXc8ygCoi7HO+N oZ24FT7BAxAlU4KH55iu8FGcDALiroAaL1lxq4S+e75NA4AoJdXrURXvUfu9MBB3DbrK2Ah5 I26aJllf4/lvlCRAxJJb+wUpdC2W+2a7BeKuIdzB7v/of7mjGaHza/gwwgnRcYQUwUxA3AAA MBkQNwAATAbEDS4OTZW0fSpjnZvcf8MRAC2AuMGFWZ6194s7eHNoWXwT4+/4NxwB0AKIG1yc xhW3uRld/kemAEgDcYOLQ1V34w+wWE8SQeCgBxA3uDhhcRdNldjwB7XwqCFoD8QNLk7jinsz x00/4huOQHsgbnBp7CdAmvgV33AEBgBxAwDAZEDcAAAwGRA3AABMBsQNAABT8fn8D9G12u2C xXfwAAAAAElFTkSuQmCC</item> <item item-id="17">iVBORw0KGgoAAAANSUhEUgAAAIgAAAAXCAYAAADQigfEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJpSURBVGhD7ZhrkoQgDIQ9lwfyPJzG y3gYlgQYHsaQqDg7Fl8VP3wMNOkW2J3sYMAwAjJgGQEZsIyADFhGQAYsRUDWZbLTRLfZbOGt 3ySf27KGm13YrJnL2n3axYG/4U8VkMWWU1jtAgL6VrQ7UNhYQCzybJyNnVkXZ9xsP77h9bWx v+FPFhCXfFMNj4mtRf0avoiPZ7wOiMPXs7wn5zv+HJ9BQuJ/fWuxm7HzPwnIZmas6S1aHvLn ICBhH6WWw7hUQlPNVPclf8ZoNI5oSGpg2EMrSjMgV3Qw/sRnMF/VdkbrISvsJ0IshfA1xh7C lylLcBItLUgylW9NihVEr+M0dUCCDm/aNR2H/jjy8xa+JxrgWM++wozx27q6rhIoQJxSL6K7 MTVFQAC5Dr/HM43rJF9pYytqdbIe3IeJz/IzCawK0jMKracKSEiS1HQowqmA+OVsX7QOsAHp qIPYYkoaOoLuMoQNf3Z+5GO0ONCDzwLc1lIdoBF4X35IKsWuC1e8XlsMoNNxGlVAZDpa/uy3 lLMBSXpShUMhKcNp8S5lqq8uCpCJpsJAtSaHAdEU7wTigAh1CPy5JyDlb0KF/U3KAN/2+9j+ nzYt8jH6/u3+AU3K5oGz7q2DqCXpkEaH0J8btpiiP4fgE9wDSZUNmpPE4uFP38FNvFgHrjJZ 2OprFlqPPiAupcUy565lc0sC3I/wEHRHTfS8WweYG/05f0ZMelQB8YckWILyVifUd16ftDGV +D7sl14MXqvOMdd5v46sLzJxSn/C89vZjKmCM/hPSP3pEBCfPvnSNngWnT/dVpDBOxgBGTBY +wfKqf21WAdDgAAAAABJRU5ErkJggg==</item> <item item-id="18">iVBORw0KGgoAAAANSUhEUgAAANQAAAAXCAYAAABzomECAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMYSURBVHhe7ZkLkoMgEERzLg/keTxN LuNhWIaPIA4w/CKu86qo2sQEmh4aMfsRDMN0gwPFMB3hQDFMRzhQDNMRDhTDdOQUqO/6EZ8P 3pZtN596Jue5reJr3h/LLrbFH9drq6fgu8r36jU9u25Ejyq4w5cgUGFRv2IFAY0Tuxsw1hpo i/fTGanALOKooXotdSybXE72dUug/kHdch5VcIcvXqDkTrEFw6uE1xd6DrSJh4f7JpaGIlUR LhaJ9ta816Tpn9Qt51Ex9/gSf4YyO8TTj3pqsfqBknZuv54Tslj2bVH+al0dNT21blmPGvmR L5FAmXMttmsaYaoVzTS4U2Q4xsi0FLYgroW7XZmmaooWS4umRN3sNfCh6G44i0ejfJGoTTdc GzlwPeiK1BPBBpCdHD2UTNAVk2qIDkC+ZbncoSzlmqoJF4vRdC1wm6Z43UCC253V50gDzOLR OF/0uNB35DpKXM91RZqJoLfGHabmgCLRJ6hFDC9MSDRQAF2TPn8nWqqTo2hei94lKn1K1g2u +c8OsBlSnyVm8WiALwfgR0mgAFxPECj9oXixHfRdzuIL0He3q2kDIAdqoKZw902S0WTmc/Y+ UzcY/3TNHyPHLB4N8OUA+msJlKdHXTNEb41SrPvBxIi8iM/hCwD/0hNQ/RNaFnKg8pqqqQ4U TVOubtfN7zxGmlk86u+LozVQTo9bkWbhYbdGVHzi8zhWAK2YWHiwloUUKJqmaqoCRdREqFuf QN3tUX9fHC2BOusxK1K/iS1Y3fDz9rVQKfwxfvQ/ElUkbx4XraM1Ib7mV0KBJmLdwIfGI9+p v65QPRrgy0F9oML+CFt8AihUYaDg4+rhlfy9kbxEk9qtvUUUvk4yi0cjdbQd+Xw9DYGCDktE OAF6AvbvO3mPJii6Pf7AyaL8qA5/3+nRSB3QX32gfD1FgdIPeTKNqsUE6M7DX1ZUio/vaTHq de9fiwp4lyavL3Qlzl23YTrMs5buGwtpoS/menf2bZNSmKfBdcOh+jIgUDqt9CMFMwdcN5wy X4bdoRjmjXCgGKYbQvwBifRufUBW1LUAAAAASUVORK5CYII=</item> <item item-id="19">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADUSURBVDhP7ZPREYMwCECZKwMxT6bJ Mg6DgFFIA7G91r++O70TwwsQBXqAv/T3JNJGCMj3gIYEpdJ2PITrZqkkZUKVgJMyW6UCheoV mKSLCpmGSLWWUSqo2PIGaUOg4rf0cAfIWVskZTQuCxgnlSrHNgx+1xMyqa/WpItZSttnPJVq UaDdXFJdHEm5guqCd1IZ361U5gxy4sHVJ9IJpKv2PR+1fwSzgzJSaXhQzPKT6mRSjc+flPBe tTOSZ6N7kTLBb7fGZnkyS5Vx55x4XSL9jgekRDsttzrruTv1qwAAAABJRU5ErkJggg==</item> <item item-id="20">iVBORw0KGgoAAAANSUhEUgAAAXEAAAAXCAYAAAD9XX9XAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAATdSURBVHhe7Z0LkoMgDIb3XD2Q5/E0 XqaHcQmgBuSRgKDYfDPMtLuKyZ8HaDu7f6sgCIIwLNLEBUG4nO88r4t9LVzFss7z174+kCYu CMKlfOfP+gk0G6GekLbSxAVBuI7vvE7SwJvynacVSyxNXBCEi/iu82eSxyjNWdbpMyu1DU4T X6a/9e8vPEa/PXJ9s4m2TMfr5kCCYxvQmJAF2KZK+94RT5WwyG4s1ZkCjQsYW1eiRiWoXfgn MwfWrvZyadr5eX/8wbfPvhv3mrif2LaA2qrdHBB9E3cLrPaoaxO36GseATDvlU3byoptqm42 o8cTkvXwAZ4HglZZ8zkaF/CKOslpVEDuWTiuQ90IK65FpoGfT4g/1ho1cVUws2eaXnHKk/0Z GIF3fWG3sAUQv+6Fn1QKo7P92WX2vSCey+zopH2CRThXLByN2bykTnIasTGxiYfGq8NetPDz CfEHv2wOx5+Ja+dHuu2OAAXrJA/+mk74KztNCSSVu8NsZN9L4qkLpqCJxzWuZFRdsxpxgSad aIynOuzE5X563BV/fV2zcESauN3xJHcrmaCd4K3EIAxlpNiCdYyUvZ12CsVJVWNfKp72d6AP a3faSS+H3G7PwtK4la4K3bg4NQI8JQ+ZdiR8DdfhoH463FhXSO9gFzROhgOywbslORyiinUE PD2ykHYAfPuK8ZPK2pcOdJ19qXhCHLddhD6OdIGOemFAK0pBkDVup6uxAeam1gjwlDwssEOf n/DVzm/mG9hPxK11hfQ+d0HrZPL2QAkzLbBiJIJ2whjYPGg+TvKkoNtnFrDESE2yFzcalMZU ql8qnvp3+FkexJT6bK+TXohlIuYbS+MGuu5wawR4Sh4ydfGbpc+pDgf1c+PuukJ6ek3cTJBu KsogfYWaJg7nhgRtwCl5YnSyL5fsUTL2WT/dhM7EE2xxfoevkaNvPGE3E7Qr5DdL4wa67sB8 NU38zjxk6qLfJ+azxx8yDuqnJhP/HnWF9HaaePT2QJ2wfSB7fL0GLpASx8d1JLer0oYTRpZT 8sTg2VcMq8Fg+Pbl4nm+zStNtoZ6AUozZ8eD8jEIS+PrdT3g1gjwlDxk2qHrLHHMqQ4H9VPx iLpCeh9d0Iocuj3YJ1KCHIaUNnGaQ6GGHRpZTskTg2dfMawGg2HaR4jnNcnWQy8/7plbU5bG 1+t6UNPEe+iaso1rh9k1Ro871eGgfj6lrrQdpg5sFzQnnItlG3Bw/BiOceYc6vOhSvwGkDS0 tX0B/WjCWTj2xWNlhj0f9Km87XPmuxiz48F22xHP7AKNG+i6U97Ew/NdAVUjrh3m+OBUwToc 0c/AnM6w5/eoK3QNwlY2RulOHK6vDKR51JEftA+t5hr/fZKn60WlpR81O/G7deXbAYtuaIca Zlw/s3SoK6z1LU3cnLu9fgq/aR8kypYMpUX4TL2otPQD5itv4vfqWmAHNCv/A7goA/tJoHVd 4Ud3DZq4ubD/aapeVeDn+hxjqH5PDnpbftc+NFcwe8eMJ5Vmfujd1zZ3qBCfrWuZHXAcbcc5 tp8U0FyX15U6F72vaOJp5D97vAuJZxtep6tavOTvidMpiX+HvyduVg/67YPwbCSebXivrn6T EUIUxj+wSDbbiQuC8KtAg4LHAfatcA2RzxykiQuCIAzLuv4DGH+Eok+EYakAAAAASUVORK5C YII=</item> <item item-id="21">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADYSURBVDhP7ZLZDcMgDECZi4GYh2lY hmEcHxCDMSo98tcnUakcz1cCPMBf+ns20gIpJPwdqBliCBD6SnTq3ENWaUn4aL1Yc1QhLnbK AQaLkGv7jxipH5n3b4sDi/XdJC0pQBxDdjh7k6GBK2mHg5SynMsQKuSoZfPyzEO2Kt30ckYD rF5KSvZvqQzilVSgNq3ZipTa95GUqzqRnpXfwLtH5cumNygDDSRm7K7BHRTiflJ8eZi8J0Q2 nxRxmO0CvdPWGSnCmb0j1l52VikzR97j39tIv+MBKcAF7UUz+Fv7LyAAAAAASUVORK5C YII=</item> <item item-id="22" content-encoding="gzip">H4sIAAAAAAAA/+xYTWxbRRCety92/Jf6Jz9NS9M6KaCmyo8VEaEeAnZstylVEitJRRUOqeO8 NG7in8QOcQABChJCqFJ66AE4oCAhcUBClHMO4YA4UBWkCvUAQnBAQuKCiuEAImZmd59/nlPq NBWiKJPM29mdb3fe7JuZ3cQBAApyFNnG5Tp82oOjC1ooFTub1RLA6QByfcWIHdk6k4qNaZfi qaTKx84gWxKx0enLWiwrYBf5ogyf5sxcejCVE8OTtB4OjBWBzyFfRW41AzyJrxQyl/pElnrR tgBT+St7isYD2exSfHo5qwnEELITyqnOP9RR3mdg8g9VQsxVkHojxFIFsRohtiqI3QhxVEEa jJADVRCnEeKqgriNEE8VpNEIaaqCNBshLVWQg0ZIaxWkpQl4WJlEoz9x9Ksv3d+/d/3wD2Cg p0CF7YIVzGVjSnE2kgt4EFF/u1Ao6MOFfXqo6C9kk/yGVGnMUqbktkh5n/6/NAYp/MmCF8KQ xHYJVo2l4B+pBWuKvhadOepNxse3hPp0OTbd1mkZ/v2mQji/Va8po7AA2q5slpMNmFLuT63z mmQbhkVYxtM2C3HchyTuw4jsPV/TW3nRPuXNbuxTzfxY0eUg2k1AGvdhGi7X+vpF8qB9WorJ d6hlDuV1XMqU3zSXvgn5QbWAakC91FllS7cLB3IDiLsHnTguZDd/B4BGEHvaDBQTAAeRW5EP IR9GfgT5CHIb8lHkY0B7B9COTIfVceRHYb/e/NukiNCpoAv4ZYIQgBC2IYzOGGZIArOB6oMV XsSk7kf9IOZOkH9TBvlPr+FC7//k4fOvwBfwEsomBUwsND480Y/x8Ww8GVhYGIxm4rFgakaL RC9pGXCbJuIJLeMd0Va8Y6lENAludXw1MZ1aQFUwtbwU15ZICe664QlvOJddimK0Wdp7w+uh 3kAk73KemQpE7hw7inKzMwD5cP6x/PrgFEouZ5Ca9XD+5NRQfp2P+LF9ZQiFwMmp0FQ4T78B p0PBLFQYEnqiYDap4tZto2vya7PYxeC18848JqwCNlb3uqejG/uRnZWfddzG/mSZ8g0fPta6 KmEDMKDStZ3PnkH0EUIrHN9HG2mTGnzkdlDjIve0AmsnxHSUOneoBQpmnGoTtcNYuymPh6PZ uYnVtObt7/F5w4vL0Sze73klKGrCp3k10JU99MWfgPypTxbLDSXnh6NpIfaCvEfWS7uy9tAY 9fWAPIXF5QoqXjaTDiuR+rRKyK+5liqVqH38VstwIpd6lENyzM50nIN56zacVKMeNztxH8kK YKWnCraF8gfIF9GJz1XxdxShHEUPaUeoZv7BRJ0jw/S+3fJG3cT87JaFpEaUDthJspJtJrRM OW6jPPmTdcj6fFVUfwYuY/xfuP7rShTZ6/9t5V377DvCDvce+mwgd6lvdVMRa6vqHdNe1mby /I3gya9BBnz8p3ZqxRXK60ktc8iNLfmHxd7Pf9i1/e0acbXSbu0/aNqL/W6F8dz7BWOMznYR YzTi6/J15eCWKQd6rHnVuT3HsbDF7hrPG+ytBmHj1e37s1Hyx1a0Qcl4ojOCpV3PmgIYPVHu 05PKXZtH+pAx9ZxZ9+gjxWc1erQ7WyWPKndtplP3Z4Otwd5slPxxFm3Q2rORyckcvMCc7Jz5 O6bbu6H+bHlQPlV+pZncFpS8+lbZIRbopHPJWwK02W3PpL/x3NMrR9EKnTbdtwcm3mZdKqh0 llC131D0an/+/DVl/+by37u5lM5leW/lpJ/LOunRJeLGBeKflJuEuIE71TG+muH/MaUYodOj Hd7kS9Gamz965Hy1GJ0q7EwjgZGzd1E9VPQ3AAAA//8DADtjQF9wFgAA</item> <item item-id="23">iVBORw0KGgoAAAANSUhEUgAAAKcAAAAsCAYAAAAAYaj3AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQ3SURBVHhe7ZsBkoMgDEV7Lg/EeTyN l+lh3CSAi5ggKiLFvBlnu9YKxs9PoPUzK0qjqDiVZlFxKs2i4lSaRcX5c0yz+XzmD2zD+HX7 +kTF+WN8xxHkiaBIjXvdJyrOH2Yyw9yzeao4W2cylMI/wzjHOpzARXtO7CrOH+A7Dtv6EkRr es7pgIqzeb7zOETpG920d2UCKs7mgYlPkNLRRSnNu61njao4G2QyTnwoype4JIeKsyncGqYX 43ech87dMYWKsxmwtgyESeC+vtcyU6g4W4GWjCIhvjilIyrORqA6MxTiy1M6ouJshJU4UZiQ zg2mdHg9vlSgmeKs8GMDSmu2jfV2reZaZr7s1lA955yS+kVLRy7mzDdDZ6kTi9zv/PePyxAn nsQtAqOACgZrwyaVuUnC6Tah78xn7U3q+3vpLRViwdXNKeh+y23vihM7X+2nWczF2UXnk6Oa SYl+Eft1tdztsch1zAgSKP+5tDiPjoSL0CiOIkX7Srm1c+befweZReFYXDExGiTMCBHE6dIp dL5sPZICR956FJcf2Vvxv5PSscDzCel5mUsE7/t93nQE90w6J+dkt7FcRLiVGhRXa9d9KFab /gdbM4PihlhkZFjvjrxLbo0JSYiT/8AeZ29S0fQdYftUrzxpmTtiYTPczjmTZYTVWvyeLM5E oVoevnNZuIuWRG8D197MnB24BTeOu2KRJU7n2PxtOihOanDjZLaBs4WvCAmMC9rF9lypsPk8 tGeCfTa4XDv57Tef1i/HAhHikZXWzWwMnJuNw6G0nrgp01h85NGNlW7e2fYkR40HAv7vjmGf ybnhesthb6osJkepWCBsPLAfwvEIiJf6h+d3hodiXbXLiFvy/3WnAyYDJ6GRkuhMLtSODS5t TM15rr3/m8ZuQTvoFMs980EMKHq9hcl7ErNcLBApHmgw8fHehf8HhTU93BceS8fFAwdgxSkd TCcfJ+gcH4by3N9ePILDFFf/es9T4knMdCyQVDx23FNEHliLOBdBChZLOKfjRtQtVGgv6Ra1 r/cCJZ7ETMYC2YsHvX88w7E+CPw7J1k1Wq6UHrBtHFkwesz1QORQpT0MqItO7D61r3fB3wum zGGB46UbfIhELJC8eKRKjJD944QJEQ/VG/Q3rCPuo1Z7fqbtHcG3V/t6Q9DFshwbhVywb1Is 7Ou68TgkzrewSm+PAO4UPw7MQKUYZTu73dHnJ2Oh4mwSSHm5Kb1jVJyN4NMp1Zk+VS/zgMBF j9ajP4yK83HsjHWp4dyMOEyllL5hh//7FlScj4K1ZSBMAvdFs9i9JZxOUXE+CaXoSIjs7NuK +EWmSag4H2SzJMOkdATXF+UfTfSLivNBVuJEYXKPA4OTUjqn9+0kyC6G27d7RsX5JM4p/2ff bnIErye/hrm4patPYd9bak8Vp9IsKk6lWVScSqPM8x9Y7gaJHeAcYwAAAABJRU5ErkJg gg==</item> <item item-id="24">iVBORw0KGgoAAAANSUhEUgAAAF0AAAAXCAYAAABpskPJAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAF6SURBVGhD7ZSJDcMgDEWZi4GYh2lY JsNQm6PhCEcChFbyk5CahBD/VwzTxOuQ9A2Q9A2Q9A2Q9A2Q9KUoLRjTQrlLB0lfhhXOSPoo h5ZcgM5ODqk5SR9lqnRczLYCY1zLw7cG/sbn12fTbUwRfs0yto72KLMqz1PpQT3w0ajyQ3LN uISloSzhFz9fGJKuRCDB3Stg57VHi/l5nkn/ZjYOoCb71FMqyN4fkm7AHdaWPo/xPErY94uj tkh6vLhOz7fL5REQFulbFYbbRV/gn6wHeVs6MJInA98bONPddSIdCoAPK2xLFi4e7wwlCuIm SY92UmW0GcyTMV16vKBpq3O2KzIuNuOnpE/IkxGv2aQu3X4cg5gJ/iEO03Ln83jHuDB+bjqy NH3Sx3mep84d6ZjVfwMyq6AGN6OBLRIDxDsm4RfP9Es68yzitnT/D17W+YfSq3kW0SX9PEJQ mC34bNWAmvSwxV8OmdKdZxGdO52YCUnfAEnfAEl/Ha0/arsAGk4nD7QAAAAASUVORK5C YII=</item> <item item-id="25">iVBORw0KGgoAAAANSUhEUgAAAOgAAAAXCAYAAAABbQO0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANmSURBVHhe7ZoLlqQgDEVdlwtyPa6m NlOLsUkA+WP4KWXnzuH0TImQPPKA6jPLwTDMtLBBGWZi2KAMMzFsUIaZGDYow0yMY9DPthzL Em/r/lW9/jmfTeixHr3k+G3NP8cWiVu2do1eVY9YN1YO6358xZ99g59pPINuQnIbtQCb++l/ RhdNrwJ5g+bffVUFpxGFt4JObSZ9Sz3KmvG0+O7HCrksfo4ulkGFqLsnBw6cH+B/AQWyHRvo 4hRkLbNqDgajxxAaVKAKsH4je5E2Qof4niLrKTdW+juoOpL5amsAsVGPztfck2k072BQLL6O ufykNurEz2zm332vMSgEkRpYPbuYOEQG23w7wZ352hwYH6HRgbz1vKnia8lxJs1hvjaDypPD XqdR2giINeFygzZFt4h4PNEKDcU1wDVDT4j9SBmaAqtbIMX5RfsBg8LcVvDhdastx7k0LyhC gYzdaCrbPdqU1IThJm3Ip346nrBCc67HZ3Zw4HrqQsogahbIBeYsWYw+gEmc2JX4bj6VOU6g udxwMi0zCBooeoLaOQ3Q5qSmJm7QhmxQIB6PZ1DZKXmVgAmdZyWi233lcY7J+XOJOfLjPWBQ VSTOoujmBHuRox4n8s6jmgfAe9RNANIKDXrmdW4mF7HUaHNSUxN3aKPGJS1WIh58pkheJYR4 8As1fB4RkDS/1/ezJQTtZFBMjtAoQN6xXTB1zb3M0WIKzQPgvVaDan30nP21MbQadJw2rgYh kKOMIR6PqVC1g8ULUXbuUywX78xmUNQlsSCBZsQcNbNoHgD92wwqzSU0PictjIWgjaHFoGO1 0fOAFv4cYN6r2lEVagaJNxVQh+uWM54ie8cPBq9ZjEpUkchYvDmdZ6KhLukcQ57VPA+8R+kP a2HH7DUnyAHanNQbND5eDqo2LueGZTV3DePx0O54GixKKzj/31lkABAUGjJVYZ1O0Gcg5ljC HZrfwshYWk7QGbQB4vGUGVQAL+tjGXaF2BUkjglACqr/7vESg2ZzLGS45rcwMpaamphJGyAe T7FB9UB4FEczkoP730lwV4DPUUhrDK9f1qDetfJZQUPIORYzWPMbGBbLZU3Mrw2QjEc9787V f2Fi+sOap/lVbQYYVLqffg1j2mHN0/y2NsNOUIZh2mGDMsy0HMcfejEIpekIjKcAAAAASUVO RK5CYII=</item> <item item-id="26">iVBORw0KGgoAAAANSUhEUgAAAOYAAAAXCAYAAAAfpDMHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAN8SURBVHhe7ZjtlaUgDIZvXRZkPTaw bfhrO7EYhxBQgfAVxME7ec7h7MwoJnnNC7ifXRCE4RBjCsKAiDEFYUDEmIIwIGJMQRgQx5jr /Nk/H3pMy2bu+ius+0zocIx5NffxebfeGX2mZedW8E19uC2Tk79um3XGfxN4xpyV3FeM+Dc0 4VtBYV1dTrF9ver4Br21FoEJt32Z+Np8Rx+CBmGP2EWnwpjqQYsnh35IW/O9HcqYGrXqaXOy d4ZR9a4zFW3MFr5Il8+0kxu86p3czh//xjSN9/eOsC5RYyqwYSLi1zKM3u3GXJcbjfpKXdp3 +IgxIYnEbrAt+1TdkJhs82mkMLbezQpGjpQx8ZqtqaW+lN7mGuRbtTNx82k1porr/95FF8Wj fVihi1lMymLQ+ZCdiQ0X34axqWsEOZuL94IMFbHxvvzIkTLmuZr/b6ovpTfsyna30PcVBWjR m2FMo+UxDiO1vfex+rBcF6tJEEMvJEYjGPO/aD5hZ5rJ6aMDuLxGEABF4bwgF05sPigy/ULc F8CsL6W3vnaNDbWXmqY8HzySJ0biIVqD5I7ZQZeDvn3I1uVYsKnEMP45l87HM6aZFDs6HLQK AvNNcX4sVVRaNE5sPiljut+YmfrsaukUl9EbXjC7yQv1DoB5peaHsnxjqmjON2YHXQ44vfCA LrYm8pmmtqPeSD76mgGbkChUBXL/o6xVEPWEOTL/JmPq4gpGjqgx7VGKFDhR34Wc3vq6I4Yb I019PgjMazMmsu6LDni/Licd+zCgThe724bvCuPn+ubsTONyavsNk28RxE0k4AXGxL/B/Ovf C+uzFOh9jzFr5gBwf6sxrzEr8xilDwPg/nJdMDfsMTcGxg2N6eZjOtPcbB4UDj8hviDU85Jn +UA5TmwOp7DUCBsnXl9Iod43HGWd5xUB80ruT+tzxuygy8G9fZimVBeXcxG/DOKd+vnktwwS viDQVNqIse66acd8nsL6atC7x6UZ/N+TdMiHRc88OvbhY9D5/Ioxcb792eMLjJmsrxJ4WXZ3 htWXOuLR9Mmnnp55cHphFF0sdD71xjTfAHZbDovCh/vfHXo10HNASEwm3NYVKWNmY/8exfVV c3kWWXCj3p3plkfvPnyIaD7m+u1sy6KkEZ5C9KZ5qy4djImuLz9yCW2I3jTv1qXbjikIAh8x piAMx77/AO+YSndAD+1PAAAAAElFTkSuQmCC</item> <item item-id="27">iVBORw0KGgoAAAANSUhEUgAAAFsAAAAVCAYAAAApZJKFAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFUSURBVFhH7ZbbFYMgDECdi4Gch2lc xmFSIIIkRkULaT9yz8mH0APJ5VEmMNQw2YqYbEVMtiImWxEme4F5mmBetk9lVu9gCvPH+DaH ZcZxSjgPK3aQdudT6wBW8K6aN1DJ3jpDAj+RnSTMYbnTR59FXz24wzhY59gaMX+yyAG6s8Xk NBAERPlVoq8Q6ok7Xqu+dFL/Tnaa1wE50VLbU0g9Gjua8kg2ufdOsiz9N3EJuUIyHa6SUo++ 6MhD2fc7SxIrxSWDZeccxv0ZyjTKVn6VSLLZwr+iGiOf0lbhh9cMj4bEmmTnAdVkp3lH39nP hX9L8zWSfthQbFnpm7jmeKfyRF/BZEc0hTfLjmBi/C6lcKlncQt56o18Z+sJT/OIsrfEUA7u aNzdue1aeg/q+WTReAL2Avj3ThZagi2k3NcLPgf6bNhyRi9MtiImWxGTrYjJVgPgA4r/uPi0 Reu8AAAAAElFTkSuQmCC</item> <item item-id="28">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADaSURBVDhP7ZLbDcMwCACZi4E8D9Nk GQ9DwZD6BWnVNn89KZXq4OMRgG/gL/09ifTgAkV+dyohA4A8+j6O26VH8QsrKjhlA5UYAZmq /xcWaVahC0tUu9DE/d4kPQowjikdPY+r77SxeNJBqtXMbRhWJRJ5+0mCodouzWbZzkWK5O8q E0ZiS67FPqX2VTPpcu6J5hGfHdUPpS54KU3bjwTBGo1xb3yovYu2DXOZnshiBqkFRyul2Fr5 swqFZKWUvNpr9F7vZJEK4byu2Ge+Sxtz5pw4LpF+xw1S5gcn1iXt2BPxGgAAAABJRU5ErkJg gg==</item> <item item-id="29">iVBORw0KGgoAAAANSUhEUgAAATgAAAA0CAYAAAAeyiSlAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAZ7SURBVHhe7Z0NlqsgDIW7rlmQ63E1 bqaLcQhoGxCUH5E0yXcO74x9c5QbwiVo23mtiqIoTFGDUxSFLWpwiqKwRQ1OURS2qMFRZJnW 1+vl2rRsLzJHouYoyzq9/tb5vR0qBRxjpwZHjfe8/u0THH42E/6PfbabxPyYGiTpa5XqccsE Jq8GV0MsdmpwxHgvy4pz+z3/ra+/2XuNHe+3pw8SVaTBmSp2MuOvFVwFidipwVEHtm7cDQ5h DV2mu21VrBpcOenYqcERByY8/y0q8F7nP7n34JZpMtPT/qQGV8hZ7NTgSGMGTFD1ZhFz3xFh t1fbz2pwZVzETg2OMN+VSRaytqmocg2awEK2kOvYqcERBSa52ASH+45yxWsFV41WcESAgThZ oc0E97ZoXhn+q1xo/gCrMscJnqtfDe5IfezU4B7HDRYuozF2e7b9/7f9+la1RDNfc0vp9zlO Utm0xU4NbgTbjfTrAWOERM0Y6fpbaIidGtwI1ODkoQZnCqzKj+Opwf0YnwET9N4viZoxqr/+ I4gNsVODG8E2YJ/7TXZlY37fRaJmjHD9TR9BbIidGtwIPisSPmae7BI1Y6TrDwGTKjS4mtip wY0gOmDomCMSNWOI6n/P83pfF5Z1znRsqODKt6iJ4xPU4EZANNm7IlEzhqD+IpPJJO+cS9lH EBtipwY3AoLJ3h2JmjHU9JvrTzeb2857nk63j8UfQWyInRrc43zfuGhvlC5usD7HfXJuMBI1 Y6jph6eRPd88nq7QoMIrM/W22J0bHNknPdvj4i7ftIEeRYdt2HLbg0ydNge4fOi/QjMr/RtQ AR1y+c68h3NFfMPE8umPIJ4anPsKYGpfXYMcvYvBbdjERoNkjztfcwRXOu0xswleopmh/tP7 ZFexySS8Bhzb83itf1xPDA6MxDgsmBzBSW0D1rNf4UAbWH5f/pVOWO0Jjn8TJZp/Qj9UTLlm 4Sq1ZOV0V97DeQjELWlwHweOCKbACIPbV6HeZfWjXOrMf/T/MxRp/gX9JQYHhcvJfL4r7+15 xle+CYPDe2i3JTyWtO71XNGuJL1uuYw3uDL9ZClKaImaMVT1FxicfQLpa/e4K++vrvMQcUcB kUiBK1FxAF2Ze50QX+B3c1oujxucHTDTR3vNcv1kOdWJkagZQ1l/R4Orzfur6zxE1FHA0DwB VnQoyokdNdg5BueM+aSddX7T7DXveuX6D+crbCn66sRI1IxhoD80sJC78n4zxpJYhRz6Udjs Oey/mN2xY83rLRbqylb7O1mJ0s7jFdyBC/17HFtG+AkudWIkasZQ1Q/96rdF9cmc91fXCekU u4PBgXHEHiG7FeO4Td37s0znYmwQMloutAzuWj9Zqg1OimYMVf3QrxEGdxKDUoPrhO8otlOJ QG0O+zW/XagvOEXMzGItF2u4JAwuTz9ZqgxOkmYMVf3Qn0yD26quZN/vyvszL3mQr6NsBuaM JhDo/d9uLE6ge+1JIagstq0mUc/AurYWHcVR+u8iVydGomYMVf3Qr9z+OA1H2bmxyYwBGGXP AiST/JLpwDdQtpoqShQOSNSvY85Bf+o2VB55MWi7xn3cYnBG6nnZyxKJ+nXMWeiHHVl1dZUX Ayr3J6sNzrq3Eee2iE60PSZQlj5Bu36XHO4ckSSpvk/UD4maMbfmfGwL95h+6HvdFjsvBmac a2KSS0HsGio4pR4/wewT4XDC2wGLr46/CZhbqDmYZOw0p9iMPjpJH9JvqrhR3wfXRlns1OBG sMxBAmwrIR6dxIr0s5jV3pcCiRro46Y5AXzh4xx7m9PD+rsYUUfjBEpjpwZHBFv6Y4OzT64Z T3bQFy633DUDZiKC7Oj7OB/XDwvrjdeD/oea7qQidmpwJHAVnDff7YDV3SchT2oicNZsMVXr NsjpScpZfwt1sVODo0B0wsMWjl+yu3tvplq1LdTHU/MO/lsE0UnKXH8LtbFTgyNA/JG6GbDD IPJhNzr/vVKMNZtFbEazLzlJGY95NQ2xU4MbDAyWtzX9YLatE+dkd9ty3+D4av6+veLYvuPP fczraImdGtxIluCPcAQr1bJEnY8NkLihuXPXvBOvQuTob6Ekdmpwo7CPtcMVSdD9l+h9Rzmk JqlyTUns1OAGYAfoYG6moXJm/5349vUHCQ09kqDsNJ8Qm6SS9LdQEjs1OEVR2KIGpygKW9Tg FEVhixqcoihsUYNTFIUp6/oPqNddEKLLFiAAAAAASUVORK5CYII=</item> <item item-id="30">iVBORw0KGgoAAAANSUhEUgAAALQAAAA0CAYAAAAjfRLqAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQPSURBVHhe7ZyJcawwEESJi4CIh2hI hmBYnehAYsRy6OpXpSpjf681Pa3RIPbvsAHQEDA0aAoYGjQFDA2aAoYuiWXahmGQY1rUN0Gc ZZuGcZtXdcmAoYuBJWc3MU/UsMHT5ywTX/wwdJms62blRSQLhj6B7WbTggpdBes8ouU4Re9m MHThrNs8ooemWKaJWVl8BUNXwTpvIzP1aGcKSESrob6GoesBbUcIawfzhpYKhi4VfoQHQxOg QmeGJyDl9IJXIjdRfZGqEwydEZkke3u0ES2G+rl/ttoX5zq5wNB5UTd76CQIbugEQ38JDJ0G DF0Je6Jw3nzKDZ1g6C9Ridp7ZPFmpJ775Qg3dIKhv8TfSsU1DH3ghk4w9JcEE2VdA8kNnWDo L4Gh04ChKwGGTgOGrgHzwEDc4CwySXiQ4nNPJ2Vo+0X8UYrYco7vVbP4G1/aPFpzc34eYqI2 4jRCv7UzD06FFo9fx5lNX6MDyW1qI/7r3vKPiMQ1+9uOLrXD82qMpx+7k9pS2pRvaIbqX7K/ N/erftNPGiP0f9eqhm3jbiyqcFHiUtrwHGVe+LShVXXs2dDJFaxihDH/MLSrzbLNmX1CGlpO 2A7iWi8rtqSEQbIb2urn3nBYQtLe7eVzIDUlY7q02PPodDQ0N4oz7J7ImCl1osfXCw8SZehd 0IC4j+C/rv67YqFfj78KUluFU21s8umUWKHtliNxNT/NXqHt67ChZV93Ms4mL5Lm/XtHk+vx H17v4ohxK06LZUosDKQ2Nnl0Ig2tJ2YqtT1Rc/oQD+whgoa+JlgSZOUn4tdV6/GJvQPPeXCq oThIbWzy6JRgaB4Hn4wOxF151OrWq4caJEUamo6/aFiszs0+03Q+0/NvQ3+nE2lo3XKYlaQn 6k44hm/c2CApztBp8ReLiNPPA3GG/Jehv9VJOcnaEkLDmY2coPzZV4fo9vyYoK88NrbjUiOY hRzxP8tepPwRdV2qNjZ5dEoojT5yojyepLPL5ug9/lTy6HTL0Lpy9pXT3uNPJY9Olw1tjor4 Vi8nLa7fPuUohPvxu+3dIcmX+tRyedQnXBP/9yI6/VGhwf9wM5t+UvayXn+pbtZQ9TWqAAQN fdQJhv4S7zOgZbK8KtNIhX4K/kmjc+g4GRW6QPjRo19ixHEkDC1gpuXyBJ+PRHSCoXPBExLq J0Wi6jwOfBa2e6nFHjf0UScYOgPuObCfFLfP7hXzoeYRQ0d0gqEzoo3tvtecJSpUuXuCVV/7 EXzU0AGdYOisyOMs19Dse1PfhjZHfsdhbjnCOsHQmeHJ8+8Ll8XfSPsmXKHDOsHQOYndGAKH mKFDwNBfoh4G7COQJN1X+1W7Z0KGjukEQ4OmgKFBU8DQoClgaNAUMDRoiG37AYBQxGqRkDVz AAAAAElFTkSuQmCC</item> <item item-id="31">iVBORw0KGgoAAAANSUhEUgAAAQ0AAAA0CAYAAACQEG3ZAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAW+SURBVHhe7Z0LkqwgDEV7XbMg1+Nq 3IyLcQigBkQF8ZvcU0XV9PxebgyXgO283wAAAAXANAAARcA0AABFwDQAAEXANNbomuH3+7nR dP6TwtCgMUk3NL+/oe39S7DBMlcwjRR9O/yNk4g+NpPqT1yFmWKYjIIK4zdo8Y2uIaOEaeSQ yhVMI0HfdQOvp779G35/bfC5z9P3gR4qDhWmYbqrxlxfdBoZrOQKppEDtfHSTINhTVGHY/ju Cqaxz3quYBoZ0KSStz0h+qH903Om0TWNmQL2I5jGDlu5gmnsYpImuMuwiD23YdhW238M09hm J1cwjR1mx5WN7C0K66iioaDBKmQ/VzCNDWgiqSkqOrfRIxadRjboNBiUjI2VxkyioF0PWrav sKNxglYXCZMoVy9MoyZXSk3DJYy3XBzbqvuvz+Nr25QSjXIMY01vyHIi6KIuV3o7DX/4t5+0 D6NBI0eb3hoqcgXTgGnIAaaRD0zjAFPSBL9XQYNGjja9NVTkSr1pTPt5unsgbZ+rQSNHm94a KnKFTmM0V/taWIFp0MjRpreGilzBNIKksdcS0KCRo01vDRW5gmlILjANGjna9NZQkSuYhuQC 06CRo01vDRW5Umoa85tb7OFP5xI2vRaxB9agkaNNbw11uUqbhj1JHX+JGfYpz35om3c87en+ mpAbklYRrut770DNI6nR1pt8vfm1ym6DxuMFBb8wDScychvfurzhwlJ84zMhNlYhj61zXWPB SJtEqxqFmkZ1rca3QcfF/OGaD0xjfB4hbWbU0jx9YV1b9f7uglaKklxFusikX2+GJ2r8hN5S TqjV2DQM1nwythBXwkzDidxysb5tC4rkAgoOa56lcEItdHVD+2RVZHGmxi/oLeSMWk2YxvbC fg+zaXiRwePgq5S5qG2pMsYWyydPKZknuPkl5E+otC7/RYsGjZy36s3ntFrdNY1ncjXPVL9f 2jcNKhaXjNxg5+Rtj10C9y6P4z5qV+ERDRo5b9ZbyBm1GpuG/53TjYmHcnXANAgX8O0XdlF4 5XGQxpqxhttrboytIDcnlAaNHKl6D8wZPyeDERwfPJMrljHX6uTd0uHB+p+jcfVh1uaFSMTh v//+21QU11mrsAaNnLfqLWSh94CuxPYk5JlcBTa7dzJL+yn37/Ng6ee2hOW72y6bF2I/jvug uK4wDakaOW/VW8gZtVpkGvflKpqpLgiawPHFJUOZty5jsGHQa8TmsDZ2Wb0QeXHcB8VztmlI 1sh5q95CzqjVbNO4N1fJmbo8/Y0DckG6rxUUTg3x/s4G9EAcWVBcmfEkdXE0aOS8VW8B1bXK v9ePZM6eyVXG8p7CBUs67JZmswiu5C1xXIkGjRypeq/Q9Uyuqk3DhGsPYG6KN+ItcVyJBo0c qXqv0PVMrg6ZhnU1E6Dbb7nA7evx1PYm6uNwiXa/I5Hw3T3l9WjQyDm1tkhb/HMP6b1izjyV q4OdhgQoyfM+MHynnccm7R73vgYyjFhjtPf9vMY1vFkmJ4JEvTWU5UqvaXRt5KDeqXmGVpz2 M5jVJwydiiPS83WNK9D/wduSSWaunpopzZXiTmOJbfe4adjbZoIKjPTEy4Y0jYQpdpJpO6t4 IkjUW8OBXME0JlynEcwpm7T7bmVdCmmJi4KQpNFiuil/EdcngiS9NRzLFUxjJDmpqJ3/foG5 swzTRdkR65GhcYRa7VFLciII01vD0VzBNDzpt+CapC0S+V1G8wgfShSk0Rh/yyp8dSIIuqaH qcgVTMNACQu2JRNmy/KSv4t6Dm4LFpqGHI3zLcjlmK+vtGt6jJpcwTS6JpxEkQN3XdJNPgsV S2yQ0jSOpFdPuXprKMmVbtOwt5RipxW8302e28hlbSKAJSW5UmsaNkkLwzCDLcPj96S3Lh8g NsVEUXxe4wapiSBZbw0lucL2BABQBEwDAFAETAMAUARMAwBQBEwDAFDAMPwDVndngMdaQIUA AAAASUVORK5CYII=</item> <item item-id="32">iVBORw0KGgoAAAANSUhEUgAAAE8AAAAxCAYAAACbHPQ3AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAI3SURBVGhD7ZjRkYQgDECti4Kox2r4 uk4shhNiNCBoNOqKkzeTD2/vWPJIAK/zymlUngCVJ0DlCVB5AlSeAJUnQOUJUHkC2pY39N50 nbduen6YduU567tRXAiVdwatPAEq7xjOQqvSUHkMojjT+4E+qzwGsUWN79FcQNuWx9Cbscqs TzypPCbxavLKynPejpPIN+I5fjW7BJwjqb6r5JUWhkFSeaXWgJ9lk/4Z9UWWCMSDxxy0tysv grd5ctJ9h7Ag1tvsJOfAkzcCq3O8tN9OyDlW3InWZcvD9oX2gPbhtgq21l48z+B7g8Igp3Xr 1nNly8PWNf3f+IWQbPPyQk4kCegumn+QC3MTyUsrDwblynsrQVaSw1QgaV71XNny0j2PDkhO wJYOlOmaE+edR2KqnitPHp6286Dpaji7vdEmE9uILUq/z40SIdfS1aTWuqVcd+Vhu5YHTAeu kSdTi8eIVVfuMPiMHhz1XKcZk3IsxHqFYCD4vDKJt5K0a9YxeSvHbaie68nlXlYhlvle6TVN PVexPKza7/qr53pKHmyqIULZk7L+4OvbVq4P7tLfo2150wa/bBnPbiHtysO75yxruTGoPA55 5a0q8V5UnoDm5C2n3xJreeRUvNFkU/KiOHIdQpG5vPnNIe6L2VvEhbQjL4opv05V27b0NxfS jLzif3xY8sjzxbRTeaUWVHlc8B5Hqk/lHWG5COdhHf1srFAH4ubnG/a9xuS9C5UnQOUJUHkC VN5pvP8HRUD4628u2x4AAAAASUVORK5CYII=</item> <item item-id="33">iVBORw0KGgoAAAANSUhEUgAAAEsAAAAxCAYAAACS91RNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIRSURBVGhD7ZkBjoMgEEU9lwfiPJyG y3gYqiAywAwwG5eAmZeQrO3W9j8/qO1mhW5EFgORxUBkMRBZDEQWA5HFQGQxEFkM1pR1aLtv m1Xm3h7EerKMstsp6hoiqwdpFgORVccoP/XgEFkITtSu7QG3RRaCm3K71cHUhUxDnEPvZ4uU TbyILAJ3qTBVs4xV55vnC+gzwHoxnvDZQLvYsmr5sgNRIWmWq3wh5rB6z6bBcOiwnHaV+a5s 1376hHXI+g5ovrule4etpiyjvyMPL4Nv7Quyzh3l24zqY9MGG6PAZLnHkmlIZyxlZUHizsP8 XlxW8f5wPa5nZDbL74yzqM4E3Sw4DemMDVmnrmTNgjvydXVHJ3vNrGD5QqbYMDpjU5bHWO3M p9aNqp9yfc3bowb2/70jh8rn7zVDFjpjhyz44vB3ukMKLAA2RoHlc49dn+MJQ2e8PymoGzrS iqaPrUAjX3LU6YzMwxptu+q2qrUkdMY/ywpH63u+6IwsWeFLN78YgrqiJ4U1qWUct7p+gDVl FV/RjFkS1pNV/G4Yz3QiCyNv1qBvTkUWg2VkxbNUHKUscPb6B3NLyHKiwOVJEJfLeu7vsB85 XmB+WU5EFrw1DbHXvMD0svyNbnYf2iULbL/E/M3q+d1QZAXCdRRol8iqES8886EMfO5soPGi nu0X161FZM2ByGIgshiILAYiqxtrfy9j7V9LK8GbAAAAAElFTkSuQmCC</item> <item item-id="34">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAxCAYAAAB03p8JAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAI5SURBVGhD7ZjrkYQgDICty4Kohwau DZuxGI6nBCSC2fWRnXwz+eHsqeQziXiTEUiIOCIijoiIIyLiiIg4IiKOiIgjIuKI8Ba3ajNP k1FLPL4RvuIWZSYrzYWIO4tUHBERN86iQnvCEHEdvLRZmxUei7gOvi1no5M1h7Rqn1XPtrqU KRyJuAH89uPlFReebjV87cKfWGBmMcqvB1Tdp+LAXtCHn5+r0SrPUYxKnD1prhZneXIIlyR5 +zi7tpBTu4J3I6FBIS5UWnWxhH06c/MHfqSOast2D+eUuPg0ny+ri4l5gm1Nzar1CXGx38e8 hZuPOoYtdRS3ENtxrHvwPLfVouW79X0M9RfnIFNxsUD64tK874g7vmC8yHaFcDwq7lUMi3Pg eWZxqbKavX8kLs4M9Ny3cWaW43kW/YFvO47EufOQN3HE32wgjmj9/WjUNLciADe2Qm54ntVV s9VSHiauvDBGnQgW9xHzsfes1+6k5jbG82yutv5y8FG0Yb7xyGbxrbTybBZMI0/iY85PwJd9 r+TYguf5sbjU3r/pDs+TJC69RMKABeXM4q06zlGed07kn4K3uN2/le4bG3zFxS8AF3AG5eNr +a2K21XgdYg4IuzE5Tddjr048Aa8yCIrcV4a2PIkibW47TvUz0H8m/QT+IjzUioJvVZtnfMl 2IgL35XVd/GQOHD8RfhUXKvtRNwIaZ8Gqk7EjZI3uXWoBf5mK3MJ0rbjL885ZuLeg4gjIuKI iDgiIo6EMf+SH1imm4MRmAAAAABJRU5ErkJggg==</item> <item item-id="35">iVBORw0KGgoAAAANSUhEUgAAANMAAAAYCAYAAABgKMiuAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALnSURBVHhe7ZiLsYQgDEWty4Ksh2ps xmJYwkf5Svio6ObMMPN2ngvJvQngTpwgiC5QMxFEJ6iZCKIT1EwE0QlqJoLoBDUTQXTCaaZ1 mfg0xcfMNv0U8RY+4+e6ePEvfNX/GgmvmfwgV75A8MuIoRM5PuGnbiQ7ZLVJjNdQVjNtnDFP +kGDJjCM6qeIa8bHsLE5bP6N8Xma+WiHa/qdSe8I/3i9s69Hxkdp6sxEKbyUYfwsaybphd9M kMuAXiSaCRIWSQQBq2sC7pZQ8uwJyF3IFH9u5JDm7XmDDrC20iMsxHH1cEn5qane6fW8oC26 uOE7Nc2kr6jJtZ73IlpdchduOkYPkZsC3l8887Go5/LjnJjIK2fi3aPtWnG/HjanflbOCUCh mw0meh2LUttMFk3XvOu8CKtLBtrjOqCCbgpYAgVeK1whCZPc06qWh/RA+VmhsZzXbgqYI94k Uj9ZeIlxIkq0mQRt1+5rvPCaSXdtMsgS0e2A4XtauGIBKoyuJSgQQGsSVX4gPXTTuHHm/DRU aBy8t9j5nQHPNZ5MgDwZ/GZ+1gunmZLXAWEUW7UxVQFD7oVm7eBE2ne5zDgnslZyZx9bD+Dc T/23BD+nIbzWufmlgefam8k9mcbw4qiuZNHYi5WIbgLGipwCt2ascWIjh2ueNmkRxSeGCkHE s/9/XD1wfhpK8lDc2kx+Hjo3d63nvdDVpSb1C+8YJnl4rixg9/sKI1B0BJmVG92KE5/Z/aIv 6qPqgfXTUKHxzdc8dcoeOYTrPO9Ffqt2KA8Y1jeC1HF/M+H5ih4Vc8rTwSpE/3Mn8Fo978Ut zaQWje0mGL7XTOPpUTcnFKK5fsHJEbtStnJ1M/X0oqiZZGLyyLN3IBWM/0vI8SwspoKXn0t+ MdF3Y3PM1iV8HZ/QIztnPB+Flccl5qj5MU06gheFJ1OajTErCeJrerw5n7ti79BM+N3jP/ia Hm/O597Yu51MBPHvUDMRRBc4/wE3KBOoO9anoQAAAABJRU5ErkJggg==</item> <item item-id="36">iVBORw0KGgoAAAANSUhEUgAAADgAAAAVCAYAAAATtC32AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADXSURBVFhH7ZbRDYQgDEA7VwdiHqZh GYbpFdAIWOFy9o7D8JIm4gftawoK9HCW4OwswdmpBB0ZADJuW34Rb5GAc4XQy+fJIu+Jlp8S YwSdYTHD2eJCKWfaJzbtWvAXpC4XQkE4K+oOcTKGCnpLCEg2t5HefUhHsD0u+5npRZNiPHf0 jkZD8JjhhwoycVR0El0iCSrmHS849Ax2BKVxlKLN+Rati7rDHwgyxWdB7/wFnOEaZMHjkgGl cWkRO73lk+Xqv5LzX0pJXn+I5PBGu+dmCc7OEpwbohfXPRiS52xcDQAAAABJRU5ErkJg gg==</item> <item item-id="37">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADPSURBVDhP7ZPbEQIxCEWpKwVRT6pJ MykGeUw2L8jq6P55ZtYPJQcuWYEe4C/9PYG0EALyp1FzIgBYnkS5znWNXVqQD4yFcnAV8pMy Vfm5ZkraQIuVRep0LmWbRBqn0aLifm6SFoS5OKDgPJmgK0LTDlKZci/e4boWfWSYtku3XQas 0S9s9zLsJbUbvpd60Q2TSsMPpUF0xZG+FT+MLjjx7cvzRcXRGfeimPMrdYoevlLC/bQ+cq6v bpEyzt/uTN9lY5cqc+cYvy6QfscDUqIX+iJHL61yjXAAAAAASUVORK5CYII=</item> <item item-id="38">iVBORw0KGgoAAAANSUhEUgAAAKMAAAAYCAYAAACWYU02AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKuSURBVGhD7ZeNkYQgDIWty4Ksh2ps xmI4EsIKGJQ/V9zLN8PM7cma5PEI7KQFYRDEjMIwiBmFYRAzCsMgZhSGQcwoDENgxnWZ9DTx Y1YbzRJy+Rk91yXKf9ErPepJZMY4yKoXCL7cEfr3+Qk9yYh+ynaT9TekZ8ZNKxVJd1PQ/8Go epq85vwcNjUfN8+m9DzNundzT98ZaUe88Xj2j0enI4o6K7MUDzGMnmVmRC1jM0ItN2iZMCMk bJI4BLTHTN4pUzLXJELmuRpXoHifvKEO2MG2nqMR7qsnJKUnUd1p6L2gTbY54Ds1ZqQrRjJW u5bs6mIXaWrDu0i5i+fMdjXO4YpctTJ3t7Zjpbwen1M9Pz8OyvMDo7gNxh6nLLVm9Gg6ptNa HlcXA/U4TmzQmsWrJiFS2C1rqawnS0/YRIWLi+/1TQXv4E2G9aPhE+OkKNaMhrZrD69lZEZy bTJIiWh+QNuxsPBmU5xwWCCAamIF71gPmS6Mc6WnoyQP4nBv8/M7A+Y1dkYAO3q8GRq1xGdE 8jgxQquVhK0KCLmff++zSy/GOYwgyc50bz3AuZ70N1JuxuOxHOaXBua1mzHsjH203Fc3uWi+ 8DXuzxOJMx43rgjFI5EWs/hm2LRNDZ/n99WTp6djcDPGdVBtYax2LWl17T/jhd+HSx7mlQUM v/8dnIA43O5lfyjcVU+uno5yM2I9XzymbZffazjGadfyutUElAeEpFOt/nlGqafCjNidPFPF nzuRX2u7ll8xoxWb201PM0o9FWY0wEK64xM6F3claOVuM/paFpkRE4taq3tZ/ItxnwsJ2uD4 OZr3JEPUQ/cv+27O4Hw+Fi+PfjvDw74/x+RdtKTnzWxKeUm8n9HqebO+ubl3MGP+7nkHo9Xz Zn3Lcu/WGQWhFTGjMAha/wHj+u1H0mlsygAAAABJRU5ErkJggg==</item> <item item-id="39">iVBORw0KGgoAAAANSUhEUgAAACAAAAAWCAYAAAChWZ5EAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEDSURBVEhL7ZThDcQgCIWdy4GYh2lc xmE4UfGA2rvatLkf15eYprHgB48a6Md6AB6APwBIQCEEtYBS32LdC9APB3ViAgtxK0DGSEGf zspIMUTC3F43AI2wLYmtiSJSjzmsmssDcFdULgNQA8ZmJoxMys9AUZAX9AZIBDIDrhAF0D6y wIkQwLRsRdMO7FrgNkS2K2uaAhRpSx2A/UWaDfMkR7QHUDbGn+AscB2oUOf8Z611oMgGSPVY 5kAsKJAL3aj5fAG9KEljAFgSZCZ23GazYZQJ9/b1XOWkWrHkLEvXsAE4q4wwH+AvHbsIgO3a 78AnXQAgF1Z/HTp2gV1mwVn9GIDoBQWtIr+UpuN0AAAAAElFTkSuQmCC</item> <item item-id="40">iVBORw0KGgoAAAANSUhEUgAAAP0AAAAYCAYAAAAxvPvNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMmSURBVHhe7ZiNcYQgEIWty4Koh2ps xmIIy48Cgi4CJ4T9ZphJLney7y0PuCyCIIipoNATxGRQ6AliMij0BDEZFHqCmAwKPUFMxtyh 35hYllXw3fxOdMIm2LLI3sQG9auUqUO/Mb2QVlpFXbLzVSwrF2d3dsFXCn4pE4ceThMmGATf W1hEOyC0TDqP4xp6yc7FSht1EZfQ29MPBjPdiZo/OKBJLZzOrvj/2/8KoTdX/69DP3KfvNAr IUfR0CAIg75SxU221y33cxh046xZT1hznwYeqw1+Ti2ivBqTqJMJt6n06n+SDG0aqLcs9Oo1 b84R+iTJ9gpoo81JSmyCTXDGksWCeCtSNQNV3blQsWLcYN8NNHC6O5PrXdtdjPk1RlG3CHgO ptn9+h8lS5sF5s4MvZrDHeP16b1XbbSdSUnsRP6u5qDe7zYAzMA2VAsqElMAaPLmNsb49dSq EXxBNHtI/5+16Q31ZtwUkT7p3RO18z4dIJ/v0UZbEPpw0ehJo42BoHgicwp03wsFmQVwa1ol lE4zXzi84mvVmGi2rcPOOaT/CW1JYF7sxgSWXEN/eHJ41VhLaZ8Ocr0C2mgLrvdBUUZw7HvK 9TrpFviE/96N3ZuhhCIGBqg7pkefSG4z82pMg212v/6nwWqzwLyloYd6oVd23r77dJLrFdBG m5cUZeaxavSEC+Py+4o1Xn7Y/L3OosN9Jhbw2HgkuksbLo3LqzENvtm9+p8mdyHDfGWhV69B vwOfeu3TSa5XQBttl6ToXdQMa3jsHxEVrpf6mfhFUIQJ9UUH4P1NDqUrXaPnUTgKm/21/y21 6Xkx/YbnRua3w6uj8z4d5HoFtNGGuxPHCE/Nu1P0wrlAVfGXInugVo1vmo2gC/8bactiFC3v Q19b2/vQS6AQex2Ga9f9dxqXU4wuyP7cE7VqbLeYvve/nTY8o2h58/w22opCb4uKXykAXah/ DZWvwq4Fr6tCnGcE7/uSKjUGXxveNeyOD/1vrg3HEFoen//bPhWGHsfOuZRFfAX5Pwa/6lPj 0OvdCX/tJOpC/o/Bb/v0k5OeIIh+oNATxFQI8QfSGKy4komDyQAAAABJRU5ErkJggg==</item> <item item-id="41">iVBORw0KGgoAAAANSUhEUgAAAS4AAAAYCAYAAABEFBBHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOxSURBVHhe7ZoNkqQgDIU9lwfyPJ6m L9OHYUgA5VeDwhjsfFvUbM+4kLxHAk7tpARBEAZDGpcgCMMhjUsQhOGQxiUIwnBI4xIEYTik cQmCMBxp4/osapombyzqY3/0KjDPWa1f+5kDv6J9kY9agvz9wcSrn/coItZjXtVX/1kX+NqP sHHZIBbPic/yTnNMXpOauXSuH9L+jO862wJw6EKYQYuHm5d4FGByjzz5rmqGBtZZk6Bx4Ybx XQEwEGY3k9vAyb6oBYQPCuQ53q09NB76Rk4bl8YWxJMHjXi0g1pETXzH1Bd1risEjQs7aBwJ nDJMirsVIDoWAJ6gPDbdu7Vv0LiwGJ5tXOKRw77SH+T9XdcnGpf3u4ZicO76fpxAipk736lT cH7CoANxu2ZVKoa6GItUnMYctS9Sfcu437jMCe+vyd0jzaXb2AAe4dzUQ6RPPuc3roIA8KwL HDcVKbK94KiJ4OYgDDJwQnqLY87BtbY+xix4m4N5aovC42Hts1TmZbjQuHANf4zl0XWd/j8v Q4VHdv7zxtUvn/PGpUlOQDTLTxK6KnVjmmRuJXIDyDFY24oSxtMqRtDlRlFoeGp/nhfmg5ut MA6CSHLWuGa2Fwtjjzboc+8M4BG5cQF98iE1LhOoVxzwOTCqJjj/WQjGipQ1vjFY9Ha9eATB t4qxsHlcHN6aY2lfyKsIrEttriBPrhGY2HctGHu0UasTMIJHNq6cFgl98rl048LPwXN+cGeE z36WY3ExScKgAHHnTglz8vim1cVYhr55OGpfpmdRpDk7jE9uXb4e7dTqBIzhUehFCmhicuiT T9q4dBMIituePL5fbYqH9m/iBlUapySvWB42x/Q1pCavHJVFEcSgeVj7Mn2LItcI8Hvg9Rb0 /+dC9WinVidgDI9cnKBHHCPo1LuWsjeubZPYkSzW4HXFzF0j1A3s5jJrRmYGP9MD8yrH6DZv dqRC1RXFg9r3yssA61K8hnkz67sRxMHYo41anQDuHoXEWsAIQ+mTD+lVMQGL3Qsi/nyISQSW Ia/377SKsb4oTmGh/ZWCbA1jjzau6PQmj4A++VxrXBp41l0HoesG1+dD9kRMMO7vnGgVI33z jKU9Pa9+8PbIcEWnN3kE9MnHa1xmgdoiyF/rABNk/LsKNB++j0F4c0TPPUmTGKNX0GOzBtK+ Kq9+sPfodO73ewT0yofwW+179P6v/0IZ0Z4/4tE1OjauyhNKaIhozx/x6A7db1yCIAitkcYl CMJgKPUHeQOOiU7RIIIAAAAASUVORK5CYII=</item> <item item-id="42">iVBORw0KGgoAAAANSUhEUgAAAPsAAAAYCAYAAAA8oouKAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMmSURBVHhe7ZlrkqQgEIQ9lwfyPJzG X3sTD8NSlKigPIqX9FhfBLHTTiuVWaTi7CQZhvkEHHaG+Qgcdob5CBx2hvkIHHaG+Qgcdob5 CB8J+yqXaZKTbyzr/j3mfSK9moXc9m8yND71ZN/ErBbMopbTCR6DhWQfZ95F9+UW7E2KmfuU y+fDrlkXfmo0hxbU57AzJdzCvi7nlsnsbv+K8d6wK1D3LMWLIv+y9zXCvor3ffjlHllh10KO oqE5sPjh30nOvhRsQs7kkOB7WeqrsjE3NmKEwo6/MzXR6vNC8IbuPf5OaycttP7aEKi3JOyq bvfz8D1SdMiHF2fuS0KeJlilWBZ/sWb7S246LtJUMThHfMQIhd1omcU/cn2PkLyhew8Lzyww rSupWLr3j2T3nRh2PcdlWEHDYyP3KN+nNtrOhHjuQPbd7AkwgSIGQEFFYjIIhd0sLqypVn2J 3lC919+/6oB5UoPUT5uuXy84zwgUofvhPsmtz4P36CDx+hZttDlhdxcMThp+apSKgfP35gdN KycUdlyYRket+jzeaK/V9YyvVO/hrp298Btr8wLzpt6QwBI37GpG65198B4dUH0C2mhztvFO Ubtg7/uIplSMusISPl8LTRgxvGE3W56jabT6/KR6Q/Ne67AWmF1vmN7aDDBvWdgRtXXWk47d oxOqT0AbbVZC9NPtWDE44bQI9V5iTFcn31ZUiRhblA831L4R4ynseAzOvx6n1ecn3RuK93XC 3k8bAvOVhv1ac38do+bDjz33LSG4nd2HMTv4h4Z8MfeQtQJqNPPdx/3O7K/P8scdhY1O9r7C Nh6v2U8bzpvS63CvzpoH79EB1Segjbb44zBKvhioTReftko7Uqu+HG8ScN8fH98nfQyuLZlf 0fFmPuy5Xw87nm9+HoVa9eV4kwYsgut/vYXfG6+Mry2NX9GRc/022srCvv+Bwmwj7gVhoe67 l75b6XOgEBSmPzvfe4sq9UW9KeVS1+PFG3rfXFucn9DxZj4e5q7wZI+zCaFkMW/A3o9Prx41 DjveldK3mEw92Pvx6dujLk92hmHeh8POMJ9Ayv/SNvxokdF1dQAAAABJRU5ErkJggg==</item> <item item-id="43">iVBORw0KGgoAAAANSUhEUgAAASwAAAAYCAYAAABA4cB6AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAO6SURBVHhe7ZhrsqQgDIV7XS7I9biB 2Ya/Zie9GAYItCDPKAF08lVRdb2tkpxjAvoRDMMwD4EbFsMwj4EbFsMwj4EbFsMwj4EbFsMw j4EbFsMwjyFsWPsqPp+PM1axm5+eyS5WL5/TWCfJ7nW6Yyn4tGzia84cwn/vj893Wzw9dBlJ jajLyW9YxhR30n19hzkgsJ/HIfrg/F6sOxbtSdCcvmJbBmrB/jgoL8LcQQ9fIwq8hqUflvOM 300sn0VsQ5e3+8QalsaunANX8DfrLhNBNZt4wxoL+3MAdZTIW9bSQiyI17B0lzwbowp6sgfo CsmGJYHVYdzD92bdLxXEKe99G6sD+2Mxr+1nLTqSaFjO94ScKZdWGbh3bc46hopRItew4Dcb Ey6+JAhtcLrbLXnunBj98wLuNiwZ9/l4an8kHeoiCaU/5m2kLkaafMo7rJQAJnjczuQottpE YI7yKJFrWDaXZfuLji8KUhuM7upcu+3WOVUFitc9ymXPkQ1Lz+GMX3MYk8eMdRGF2B9/YXfQ WkD8eqx/yPIpNyxJuOpZVBfFiKMAc24lcoFcw/KNaBVfvTbVuusHw81BzVHbDPrlpfOxD29s ZIIInzU5n3c8sT8/6u998AB/TAOJf6eC+I9rafKpalgQaKww7hqjrjciRY1vR65hgYE2j1bx JbSxq5Gjc7Xu6vhy8RLnlUTNW9tUlTxhE/C/YU3szw+sRooH+GO1icYE8R860eQzfIe1r/nr dZIVo0SyYZlVIy50Ob409drU6q6PvfP8WPP0zwtQ895rWMAuNj3pvP4c0NdFGlp/tBayXkI5 IH7qOgoblgzG2/KZrhrxS3LHGD+hFLYhlUaJWMOC/6nr3f/j4kuDLAgZR0n3Ng2rX16Amu9u w3Jj7p/HjHWRhtYfuD/o4ccIcYcNq20+0R3WUcixwFyuGwP3xgh1lUPg2Ajfx9Px2Qc3OgKR 6rWp1r3BKyHcu09egJq3xue8T0fME/vzA6uRYnZ/fM5a6BF5NuG3dvlUvRKmuW6MmgY/Xw9a xYcviCJ6VXfMPx9n6Z8XDRP782NkXYz2x0KTz9CGBdfbv2ehVXz12mB0V+faXaFa5cIdYor+ edEwtz/AFY3e4o+FJh+nYcEE1QVg3uHtVi4MBoI8f4/Q5utrVBAwpz6OfrzsT5P4itq4IHU3 5+t7R29MqDsqLxqm92dkXUzgj4Uqn/LX6pt8t01axPSGdZ8b9ucahA0LuTIxjWDd54b9uQP5 DothGKYV3LAYhnkIQvwD9cvIY2wmmWAAAAAASUVORK5CYII=</item> <item item-id="44">iVBORw0KGgoAAAANSUhEUgAAAFEAAAAcCAYAAAAZSVOEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE+SURBVGhD7ZjhDYQgDEaZi4GYh2lY hmF6RU9FRSy0//xe0sS7eFYfbTHnCKiBRAMg0QBINAASDYBEDSlQSJCoIgUHiRpy9OScW+P/ HRgk50TRoxKVZEhsUWbc3qLXKLZOQKIBIxJ5G3cu0LIO9fHngUQT9vb/f34mR/I+svfLcZey St+RLZiJvJXHTVt93OOrEpdWrXaj5o4kZUDiQN7beQ/xzjrPtvO9qDCeqSSm46HVs29Eojxv LaoXfcq9edq9lRHFv5muF6aRMVGYuGj3HavE6wXn8g7TqnwOTTXeJC4y1E8yPhNt8gooEkWb o5yzRHUbbwxKFOZtVVArupg940GV8d5OiefVHCMS5XlbwlrRp9wbn1dXI4s1aefTXztbTLeX XKJtXinrwlnle1s2IAASDYBEAyDRAEhUQ/QDIlu/arRqD6QAAAAASUVORK5CYII=</item> <item item-id="45">iVBORw0KGgoAAAANSUhEUgAAADoAAAAVCAYAAAAXQf3LAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE1SURBVFhH7ZWLEYMgDIaZi4GYh2lY xmHSEFQQAg1cfVT97uh5vsjHH6mCh/CK3o1X9G4MiDowyuBvZLIalFI0zHqhvO84JrAa69EW jwJ9os6gTFb85pyXS2QnC1ppsMtshxBqoIUfE+USCisXU0S8eDJBkD0+WeqyEVFnFOg8Gi4x 5hxNulmN/amLUgvOkS9jLc6nybQg18p0b5ayINVi7sqQ0hB1sZBcgBVCpKLsuS2cFDekCFq3 LIoekopSerxo0fo78lXUf4v591QVFX6j1xPtalFPuevmEwQu1bplMQ6/2/kIrzGbkccvwvrC itAJmxF1Jica2jN7cVIx+/cykz7LpUbXW3H+lLDY0SMEJF+iVqpN/HPtNI+gQxRhN5oWlVY+ gT5RQprQNZJcGBD9Tx4iCvABtmxjZKjTstEAAAAASUVORK5CYII=</item> <item item-id="46">iVBORw0KGgoAAAANSUhEUgAAAEcAAAAuCAYAAAB6SwSNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJ8SURBVGhD7ZnhlYMgDIBZ4PboDG5x S7hHN2Aaft0mDsMRhIqImgQRtH7vee95d7TykYTQCv2wSp4c1Wsheq3cLYtB6k50Wg7uviHY clQvtOiztAQMWnZCd40ZYskBMYd5CRhk15QguhxIpRJmHKXEcyDKUbrPrTG7nPEeOEhyIOzP WNVW0osg58wVbSN68HIK15qYFmoPWg7pYW3/Y7b65IXsacxr1E4tpBzoQ5CTgqbOWjRjeml+ Aow0gdfp/Pg6IOVwakAkhzzR+nUHJ4e1imZyPg9Z4yFaryKHWh3DMcwUUX3dMxdODmenCgvq IydkPEh+hoAcVz8GKdGpck858P9RMbWneLOVU7bn+6bVAZwnB3bGqRfzU33kRLsinOu8IJyc 90uL19vdnMf79aN//9xNKZSMFmCslxAMT+QksPVxJscW0Snv7OWFNCpn8bwrF41ppw3kqGl3 saKC3eab5AQ9WWLkWLlnLpByUg+2de1RI63C91w8oc+3GY1GztHEn3TO5cTp5PmGtDJznDWo Jr2Ckct0UqYOWRrdylMiUtcuNijiceZ37s+f5md2eVM3TqvkvN3ccTF3YzlbPHI2KCgnfZij cFM564c5CteQA10jZWYbhzk8MOYqchgfc4Ykm8tNriIH6keWnOkwhwdqVqIhPRGknMxV5ETe AdGaC1LOmBbUguphFVazCVzk62ADs9eJD3NYchbjKPByODUgXn2TKhL1AvXrDUCQM64mOtQh 0oImcLxwE4Zoq51SAEkOdkW3DnP7tBE1AFGOm3jBYtBCrfGQ5QClJtBKOnlYcoCjBbUmBmDL AUAQtsiuAs2eqUetiQGy5Nwbrf8B6ehFKLgc+d4AAAAASUVORK5CYII=</item> <item item-id="47">iVBORw0KGgoAAAANSUhEUgAAADAAAAAXCAYAAABNq8wJAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEbSURBVFhH7ZSNDYQgDIWZi4GYh2lY hmF6/Q2gxMOox5H4EhIhQPuVVx0srhdgtl6A2VoKIEcPzjkeIcnaOgApYOIBJO8EQSEWAcgQ fak6i4B8fApAApaKXVSO4J2HmHVO0jUFsIA0aKM8kXzLjmYPktd3Pa7GPibNUWcsbhJNLoX2 QAoOvNLwvuY9j0Vnrfm649tdowB1lZs7+bnqC+jwTfYYUQ+Ac9oBoHp+04YpS52melLfe8CE lcVEE/9vC/HeMucALluoE8/sXgHQppI0B9UTVwFuUeMC8T/FVwBJiKrBSZm/aNCh0xay++7t Ey6k5mWx9z3QEwNVyWznEzUGgNr+Ru17toYBii1w/NT8xzoB8J96AWZrcQCAD7T3KwavSnZS AAAAAElFTkSuQmCC</item> <item item-id="48">iVBORw0KGgoAAAANSUhEUgAAADIAAAAuCAYAAABqK0pRAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFUSURBVGhD7ZiNDYQgDEaZi4GYp9Ow jMP0Wn5UUDxzyZmvhpdgjLlLeNCvEh2/hCmCxhRBY4qgMUXQwBaJgZ1zg+GZlvI7AVdkIfYh 6g1TILkqkYMLcj1ioLQ6EV/vWwyIyOTTzgi6S2ZF1hIr92ZFJPC+ptquiOTDO64bkkRK2Bei JvTYIqn9tl0qhtx+110qtCLJeLcChthEioTa2hZRXrEjyk8iOZB9LT/NQKRO7nimQeVUZD/5 3CXur3btKsPxp7q9UVp6UHs2N6cLcDHSf9K1ciHS9200voukZ/dzAlpaJfRP1tWPtCLCQr5Z we8lhdh+DTNFniN3zVrqo7iCi2j+tuzV/J7JYItE6tr+uIuay0h6T9kXyTtir7R69IVt97vW Rgzjo5IZEe1Yo9ar2BDZf9tSpMSok8IXOf0ifzzXQYv0B9h1vOE9MmKKoDFFsGD+AInsisun HRm1AAAAAElFTkSuQmCC</item> <item item-id="49">iVBORw0KGgoAAAANSUhEUgAAACkAAAAVCAYAAADb2McgAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACuSURBVEhL7ZThDcQgCEaZi4GYh2lc xmE4qmdqL7a1yXcXLvElJBJ/+IAg2R+wJFEsSRQBJbMpkxGrnyrBJJMJueAWcSUrWRkl+R4L ideP5VKyXLZ2byHo5+c4l8xqTGzabpK4aJffkKQrbhQPCp4a9/7gvCSSqXGXoh92Esm5ZJHq liDiuGsXd6nP/JeUgsfj7j5SDxbxRarncRO+8QUdHVqThosTjSWJYkliMHsBmHOr44mFG8cA AAAASUVORK5CYII=</item> <item item-id="50">iVBORw0KGgoAAAANSUhEUgAAADIAAAAVCAYAAAAElr0/AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAD5SURBVFhH7ZWBCcQgDEWdKwM5j9O4 jMPkotEaPVsstJg7/BC4QEv/+4mewT/RBtGmDaJNkyAerTFofW6Xir2YXMXTBEhAB+1L6xS9 WELJnYPD19xEgkPQAOIdupB/J+WQydjLIGWaNcWn5e0ApIzqqOK8A0kv988sEQcVLVSQZBbq 6Lwlo7n/AhHP3VATwKjuhhJ9gSOckzNSP9iDaLq92kCHq5WMDiZSktMAEr1KHxUkGReH8mS1 GHbxapE3kAbI3wHSG2x6ARLFht67iS6VAu4CIC9itdp/TLBELXouBisryHUF9Oz1235XFCU8 POy/qA2iTRtElxA/YlgtgwUD2WUAAAAASUVORK5CYII=</item> <item item-id="51">iVBORw0KGgoAAAANSUhEUgAAAEcAAAAXCAYAAABZPlLoAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHySURBVFhH7ZgBjoQgDEU5FwfiPJyG y3gYltKqVVoHmbIkm/2JyYxCaZ+/6IzL/1JlCmeLMSf6PK6UY9zo81qZwdmiz96oKMtY38gG zhZzMC5miyGv5mMAZ8vRB4N2uivl4GOJvk7fwymu8cEeDUL3S93zNZyZ+8PqvacTDtxFl1uD aOeNlEJ2C1urE07pfydBgPMTrQ9w3Iz9rE8EBx3gCoAzGQSC5/jBkoX9RoTD48H1PRYfy8Zo 7lDjn7rmph+fBC18mVOcwGa1LZICJVaTFJzzIfm6IBWewtUBKbhjP6njpN78LTj3dapjS070 FXXpcfYo1eBQED350x2XuTUehwXOEtpHW3ei4KYh0Dsc7p5S+JGUluSduCRpzOUmgFrXVvXE N9LeVnvtAhwaVF7qAn+xG4aD7kt14TNe20bjcPa2+XQ8qsJg9WpwakEQkGeqwaGx7XkQFHwu WO1KA9/BEdqNSQIhHU9C15w3Yf8uzmp/12DyuBBPVimKja/XCG6dD+3U21bNuFkiQ9Dhy8Oj 5ktXmbAVehMCyq/fYu+OUBwyFNtQDRxIqHXCg6Cwgbt7f5RLEI5XiUU64GCfFSu9IgOClnje F2SxVhXXfOfgGXreqXpV3PP/f86DTIuZAHtEZnCwTQz2iME9bIYM4fw15fwDZS5cUjZTlv0A AAAASUVORK5CYII=</item> <item item-id="52">iVBORw0KGgoAAAANSUhEUgAAAEkAAAAVCAYAAAAKP8NQAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAG6SURBVFhH7ZaNjcMgDIWZi4GYh2my TIbhwGBijDHkLv05iSdRNZEx9seD1oStqTakBW1IC9qQFrQhLehBSEdwxsXPotMHa0xw9QUV i/24Uj2jWp+CdLhgBEBGWTjH2ODP8vwxncFbvdZFSDnRLVeoTiqCmC9w1KTWRUhjOx7OBCvZ YQVS1OltMLOgV2sN0mW569hkMPkdHXTnU8zgyNSFaW4hdsFNfQ3ymAk2hM5BKgxS2ngaQzL3 R+pwpakRaX4XUZU5FExenMfrl2ZS05gyVEE9ZJOgdrm/2ndRmzlNtD7igofg8PsAUt4ZHVI7 RwKS34lH9kW6nMIhyRvG8BM3RWA1+GFILZD3QcLjhv1xSOhI3mfnUUhkI6A4auwAUl7oBiR4 11oZIXW5ibD42VDFaxUgpRoySO24gXLRzS/OCBLE8qaLujnlAudJIG4AukgCIg1NvPnmmdXK 704x8+kda1z69csa/gWIQnvjkOIgpqf/ApXNx1qcAzC0PoTW1h0dVzIQxWT18l6R4qap0lzd Rd+gDlKieHtjwa53QeWdfYuJ/qgKqVrs11XfccX/cBBKv+22QBvSVCH8APIMorJFBuZRAAAA AElFTkSuQmCC</item> <item item-id="53">iVBORw0KGgoAAAANSUhEUgAAATgAAAA/CAYAAAB0DdRmAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAd4SURBVHhe7Z3rtasqFEbTwO1j17C7 uE3Yx+7Aavx1O0kxXhagQVwoIBAe3xzDcU4So8BaTMHHzmsFAIBOgeAAiGGZ1tdrWhf9slve 8/r7+l3nt37dGBAcAIEs02t9Td2rzeC9zr+v9bdBy0FwAARAchvKbQbv+bc5yUFwAPhC09JR 7aZpTfAQHABeLOs0wjm3W9pqBwgOAA9oejb44G2npakqBAfALRi9HWmnPSA4AO7o+NybvCL8 shaPurZyLg6CA+CGbq+cvud1oqmm/jdo6imk38I0FYID4BK6B6zdG129EIKbhcCDzjPSDcC/ s2iduoHgALikrfNv7JRzW1z2EqMx+ijsQkob7QLBAXBFIyOVJ7znSY5QwwRHI1sIDoC2IcH5 9/oG+UzBleDEa5qverBM9U/dITgAruj96QWq3zZCJZmLqaxvdSE4AFqnd8E9AIIDoHUgOCcQ HACtA8E5geAAaB0IzgkEB0Dr/P2sr58//QKY/P38s/77n35RKRAcAFdgBOcEIzgAWqchwbFP LzxY7oDgOmW78xs8QD//WD0YwTmB4KpE/YDGfnNjKCLhW/zxjRop30EiYg/BOYHgqoMeENZD 8CjBie8j2RMihDOVes4zMvYQnBMIrlLombsYwYU9jAy8EAIp2abBsYfgnEBwlRInOJre4M9W p0eMrKJG03EMLTiqyzaKTVAnCK5SogRX4q9KFB7N1AEdOMp1lGEFZ+avfqj+6blkCK5SYgRH 38l9caHbP419Q4m23RhVcO9lOdQ5pg/YQHCVEhNckk/OTijLFHMSvANk3QtJZFTBnaB6QXB9 Ei44dXtBzjx/v5fs+6iWBJ3Nl+DYd/qoFrXD0wM2HtWqlHDB0S0GuY9W+SVaLfKcUJkLOBjB EWku7GAEVynyhzlCAiw7YHgww34AZHTBlekswbHvUHDLlOZgAsFVh3Gzp1w8A1SkA0Jweds3 MvadCY5GsKmqM5jgKIG4I4Pr/YagJIfgLngYeym4SuseIzj6ToIpYHJEuQ7n3cTrJ20eLzh1 sInbd1iupRGcFMBFIhecgmRB1i9/+fcpbY2dw0WK2HclONV5a4uhPPdI5TosHgefC4oLLiLX PAV3NbrgzMmsL3f+rEG/RnWCpvatoS0TxT6ofQvXncoW0BPp/NYcfBGrRSgOJftEXK55Cs5t XP7+MH59eRS5TRZV6KdHl6RAcCzJYl+74HxlJUYYVMXgK7VNUlZwsbmmBbdJxRSL+vL1sJbW sStpf89Y37JrO3D1NDHbL+8NwYrQTn4s31E01mdWxzxObTLFPigvQuv+FFEnL1mJ9XS75hVc 6VxzQbG+jwOfPypPVHNt/zfqZRtLrhOXa8YITu3A3PY+x5ZfOJuSjljHpNe41teFOr/vZj8v 5VpCNhbNuW0+0GdG4zvrnhLa531yKayyy5ht5VWffTqJer13TqqL0VHf8/zZZ8rY07a8hRBS 9xTQ/uzOdca89SKf4KyyFMk1B1ZusLD58xHTtJiS0vU65KfmQa4dp6iHRBMrbf93bEjZOXzH pY86ByE6ljv4IbJANv55e6nrGC36K3lwiWPGTv+f23bS2FM5XOUXPDnIsetbyx20/4tdyDqb f534TnCPYsmsX7o/SURZbvfryh8mx/ZV5Ouj4J7kmhVddQSXXxAVOO70vKFWBBeMLr8ZGFnX c4VU0l0kcx78RzFXnY2PnxWjrS249kgUe9qWf05kHsExsZcx5mKvuRLWxdfC+Uqu8bDS59qO yx8zR+x8sV8LnuTa6fClOoSQm5lErg1Rg0fs+Py+mydH76RQnbjkcrVBVgI6+VX55Gd2PBwx stdNGPuw2w0yC46Fyu6/T9WHMojoK7nGEdYeEjN/zByx84XLnwe5xozP1YechfkNMcnpWl++ X0OAYnB1LHpftJeZ0CIgeUepIZ2cj+cky6fLbsTk0DnFeubUiw42n3qlir3YTpAMviE4u+7X ZBPcFq+iuXaG6ue1T1f+mDli5wubP/G5xp6AOP9q1NYRjp2B4APPry8DfyqNzbnTVYNIJr74 WiLbclvHp4R2cqt8h85nxsr6TCfQ/plVrySxD+6goXVPBbWh337zCY4onWs2/u3A549V/n0R AlvM9Y9Ci801fgQXFBwqMGPXEwENUy2iQYv9SEoLPI99qge/S+B3gO4bEs13miAu19hzcMEV kKa+2jnt9FsNkxhR1yZ+z7MUT2LvHBHXy/c6+PchN4SNthMTkWu74OTRiYZ60dE7mvOD6/1v oBpgGxbHVrWFv6JQlojYU7IWNUWa2BMjSu7rctsJyzX2HFyfHM/dbEIfLVHHJH3sSXJVnidO jRw1+V9gqY1xBLeIqeUhRvoEJQzXP4j9sAw0gjsjj8JI8iFB7MdgYMGpozhyfEQQ+1EYV3B0 biHbvUqgahD7YRhWcLgSOi6I/TgMKTi6iobpyZgg9mMxnuDsR4PEdAU37g4CYj8cYwlOJPh2 o+dnGeBeJoDYD8owgttu7jwtmK90D2I/LsNeZAAA9A8EBwDoFggOANAtEBwAoFsgOABAp6zr /50idZoGV9yVAAAAAElFTkSuQmCC</item> <item item-id="54">iVBORw0KGgoAAAANSUhEUgAAAFEAAAAXCAYAAABzjqNHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHZSURBVFhH7ZgBroMgDIY5FwfiPJyG y3AYHi3oipQ9gaIu25+YGGW1/fjbuanw07REIXprg8vn43LBWp/PP0NiEL3VQQsVLxnrCslA 9DYY4aK9NeFTOApA9MFqI9DGR7lgtI3Rn695iNGF2sgjTJujL3YjPFMF1bl50xBXzq9rZ2N0 vooA4VgDMe1QbbjWdSE5013QrGDjFkFMu1TDgusLWw4gqhXztq0JiHkWoJ23pIm9i4MUBfOQ hUjjwf0tFl1L1rSSbsZfp0kn1q3pTC4Ai2Gc+E+RNCFnSkc5o/Z5h+u4mXASIsQqN/pwdMyb +XYuZlB0z3begojt9q7Il9uKz2I8ChWcyrRt67kLNQ8xF41JR0B78q1izjiFW1N9YdRdgDoT X1gCELcgESB9gR6GmNzsICZxWt2+cxCf1c6o/CVAH9yCmNfyOQKYFzgsNC/sg8i0+UJhnvMQ Iffj79ZUZNpZWlSjeLIe7+VNwM9DgmfbuVq3Utk8+3F+jPBO7EgcXNX9q+LosIbjhmLfIHYm 1s56IwAw4JbjKw4Ha3/Ferh2iDinwMZdBEHQiiNzi4wI9pl9HXGn2JnYrejG3/+JAhItesGm rJQYxNSeAjNscMbeKUGI36oQ/gCgAUHW0m0mjgAAAABJRU5ErkJggg==</item> <item item-id="55">iVBORw0KGgoAAAANSUhEUgAAAEoAAAAVCAYAAADhCHhTAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGfSURBVFhH7ZYBrgQRDIady4Gcx2lc Zg7jVRlTlKm3VrKJL7HZnRTt769Z5Q8ijlBCjlBCjlBCjlBCFgrlvFEGPhOX9Vopb/IDShW7 jbCv8ioNPjeeNUI5Axu3Ig2TwRjt7ZV+f53LW/3keFk9JZZQqLDJpDuGjkpgzCZnOVsdSqxJ CZUSChUty63pjPKas4VEKABPVpjsakLuk0IldaGwp4XKfn4GdUCI6bRPFoquzcTudFXBqEta iKPaic6kwnruqO8mSppDxcETbOL7bqXEuYMhrfgm5KctVC2jbL1QeJ4MBdzfO0LFC3EsVDmH EyU+Y9v3i2QTCKnuKOIqEC0XtFioUpT9QoW861reaC5zLB5eo4a8SntCoQNnhMJn9UlyLmtZ 1nqQc3EokJMVTG2EuhMvNu4JhbEdCzdz0qVeL4JxHbFXgwdLxMUh25sRKuRuquLpm6tcuPv3 AIit+STFxWGM1A0fUOeSh3Bv3lETb4Ohq14Jcze56UPYO2r6gNm7543Y4hvMtIQsVLbmvzOf ccfvOOmGvaMOLUcoEd7/AVUNmBqLt+GDAAAAAElFTkSuQmCC</item> <item item-id="56">iVBORw0KGgoAAAANSUhEUgAAAD8AAAAVCAYAAADxaDaPAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFBSURBVFhH7ZWJDcMgDEWZi4GYh2lY JsNQH6FxKHGARjlEvkTVKuDy/G3HxIH1wo+qF35UzfBT9NZEYwrLBd5SVIjOOPjUVLPnDM2M 1sM31tr54ADYRp+e0u/1ga/oWSXU5KOVcU8XGjCbWQ0PCg4P5RfvcJMScG0FTN62wdMByJis fkyI7bCRYqlthEoteHyiDoBH1/NKkDMDn6Uyy/Zd7H4bPF0WIGTPK70ugwdX2sNJ2TVfiNtO WQ3BKuCz4BIcxJWw5d5SAeU7MXxPyxyhNucL0uFB6mR/ODzv2YIHOAgeNhN0+7LfgSeA0h4s +QWYLp1f7OKBR3f6hZfTel5KRn9fdVmvp0GJS/wZZX7XqRTryCRxxS18bN7a+Wptua8Jz1zn ekmd8CB1sOVq7/Uz1A9PqnHzfo4n/Qn/bA0MH+MHtT8frTz0fVEAAAAASUVORK5CYII=</item> <item item-id="57">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAcCAYAAAD2izi6AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAG2SURBVGhD7ZaLkYMgEIapy4Ko40qg GpqxGG53QeX9EHOMuf1mmGhCEvj4WRGGmYIFTsICJ2GBk7DASVjgJCxwEhbYxW7UJowQ2Daj dm2ku2aBA2gJ0jYFOvEaRXICB7mSKLV9518LpETRVsy0w1DMrswGn7PAW0Dtwy2sJUiWcHcK 9Itkrtn9noLF1P5QmZ4+byCcx1EPwwSS2VTWrmQq0FuFJhT70iK8gaj2uW1M4bIdHAWBKTdS RX/6DUkMaQgE8yqdMsZ3uxGnXcG5qVScT47VfofshkBIWjJhTF+cUr+G4mfY57h2XZBlKQxr /J3FL5EReP0RtVhgpfZRws6DZq6PFdsMoUf1qIGtK9HeQkbHkFmGE0iSiim6Vjo/QCvwyQQ0 yYXiwTEM18C6QKD6xF0k0O2KT9AQmIH6lASCIBisLkpesIWr451nXCBJyPXB7XsNlCYeT27J Q8SVFT+FMM+Ht/BVu3pWNj3GRLXPFWr6HW/g644xNvk9cxslTGA3pRTWwO/8dfo+zylQ/IQu W/f1h0XMeO17C2QF5fiCeu4tPan6zuQdnALvvDLgwpeB1yP3jDG//HLokx8UGbAAAAAASUVO RK5CYII=</item> <item item-id="58">iVBORw0KGgoAAAANSUhEUgAAAHgAAAA7CAYAAACwqE4QAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAM7SURBVHhe7ZoBlqsgDEVdzyzBBbke V+NmXIwDAaZIAoLaFjPvnuOfP9OKkJsA2g4bUA0EKweClQPByoFg5UCwciBYORCsHAhWDgTf wrJNw7BNi/+1IyBYORCsHAi+BTtFj9u8+l87AoIvs27zOGwDBGsGFawcCNbDOm8juyWCYB0s k1lr7XoLwXpBBSsHgvWxTG5ajg8ueDL/9gcEH0Byx9nc7Ua/B8G+mrnwfoDgEiQwmXrFKbpf ILjAOo+mOpOpF4IVQbdFCis43lTsByJsJm4ZcK+bFNsvG4eob6fHG55Z547cLrwmNvn3MMFW 7uivtNtgUDYLjdyV0dROj7caQTI/To1ZmhUM6zzxsediLpGJXyLYDYZ3vCaLboA6+YHrfJOM YM6JmAvx2wvOVGNc1e+GNjaHpRGmuwcmAxNsxjLzUZyNeRq/P8FuxxhPQaETNpMKGZdJCk68 Btn2wtSXtK29iplgEwcWPCnm5+J3XMGldcC/3170WLCDEsmv68sktes6XtueJd4UikdLY++G 4nnQv0LMW+N3KNhVdkawRUqKIq9MlM9xHfzUkvBxKiq4HPO2+H1BsIHOSaegwH8TzNfgupjX xe/aFG1pFmw6YKaYJTsI18GWhLk6RYvn3HQwmGCBYszb4ncsmE4odKhJsJ1eXp0iMemJ1F4h oZ5OjeBszNvj9xJMF46yLzqxuGXPJoVtJxaVrB3+PLpWeJhCfzaZmXaaEdrqORH2lRSPX4px Co/5ufgJc4hEoYrpQvJr4tOZIvY6iqu3iULMs/D4VQo25ETS3yUp++nkmDTjQal4OHL86gUT UYZEUzqXYuW2ZB/PvOdjx9RagRI1scm/p1EwqCOsl3cIvgYEv427KvgaEPw2IFg5EPws/H1n /S4fgp9D8Y4hBwQ/C1Swck4J/v69PQQXkD6lmpb4mbKtUCsy/N+c5BPBvde1800gOAPJjR7i B9lBGj3U96/L36zoAwiWkJ4Bsyk6+XSnUyBYQPxGhbQGS4nQGRAsIX0ozwSbtbf4zYo+gGCR sHGKxO0E7z8KpfW503kagrMEyfwYf9xPcurF02vRpqwXIFg5EKwcCFYOBCsHglWzbb94fEs4 po4mHQAAAABJRU5ErkJggg==</item> <item item-id="59">iVBORw0KGgoAAAANSUhEUgAAAFIAAAAVCAYAAADVcblPAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFFSURBVFhH7ZXbEYQgDEWpi4Ksh2ps xmKyPISF8DKYYfzImfFDct3FQ0AFAgsikgkRyYSIZEJEMpFEnocCpbJLG7hCoRjXxo+S83u5 wOhsTojL6DS/47wHM1bqZUdeBnT1cJhU6wfJ+S2ccNwv2RTpF/qwKX/js8VcF+tTka7zulKo +Y34rqlENhbZiUm59fpA5IPOouYrwjP/FeajKdLPV0Nx2uRjL+odkQ+lUPMbaYostmUk274v 6k2R8SCdfiio+QnVBwxfhJX6hEj3UHypoRxqfiOPRWbv8KY+/NhM5VDzG/nIGXnfW4ZyqPkJ 8dnulf/RhKZIe4fP8jK3Xp+KdHTlUPMb8XOoRFrc9kzj2fkXWawnkVU3oDCuGWI+1DBhhesD /A34/9FWtPguuuu4CRwr9bIjhWVEJBMikgkRyYSIZAHgByd1XuV+QR4TAAAAAElFTkSuQmCC</item> <item item-id="60">iVBORw0KGgoAAAANSUhEUgAAADwAAAAVCAYAAAAaX42MAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEPSURBVFhH7ZbtDcQgCIady4Gcx2lc psNwwGHFfqS5ylnT9k38oY3AI6B18DC9wHfXC3x3rYGnCN45CEnmnTRFDw790rDxnSCIPW1z DOAUMKiAIfKEA23zP0H02V45TLI5QElTcAtAOgAf8ctJpQix2vz14dDJCWDZPGekUVxRvg5w a61RKewB9y7pqpyzLMpaq1RRDSywv1wcfHKyZ3McGeoBTFzSImNm2DiGFEp7XA/M/v7Xw3RD a5Zm4OaSVv2Vxc9Iyy2dhdXj9akh2/UZJlXPkFH/cqssE4Br8rnoENj4WRId/2mJ3/lglvMi basaaHgH2PYNHEk7wLbZG0kFWNV81/7trHWGb66HAQN8AEA6hW6HDrb8AAAAAElFTkSuQmCC</item> <item item-id="61">iVBORw0KGgoAAAANSUhEUgAAAE8AAAAvCAYAAACiwJfcAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHrSURBVGhD7ZmJrYQgEECpi4Ksh2po xmL43JeAg/ATYOclbsLuROQ5A+gSgXwG5Q2A8gZAeQOgvAHWlXczQQkRF7ftBVlTnhVHUN5H MPMGQHkDeHm3YNSUMCFUsNv+PoX83Fxcj36iGMpkK7C8vHgg/FLtS8xOxptRL4Zf6flVn9Re gI6LSmGzsjWZUSplI7ZxNOs/ZFcSpq8hlqn6D+0t5blMmIruL5sW+JWVqpHsrmkveaUBTkHe FCmJq7KMMisv043l2dJKBjMDdd4gTJe/7WNfeRJ98VKgO+aXq70h7ibZG6b7U+W6bdmugJYZ LRhZG+W9kG9V4uzP5NW3Ar9LKO18vo3kGXG+/pFX0sx7rHBIi0F5LqWjSfWHqMir1zkSKMrz D+Nqn9Oxox97vtyPdtnq9n88DtUpSl/w0NeqPx1FebiA1JgqD8tWDhIzD0YkL2yS9SLBjTjf Ls57uFVBPoLyBthS3mNhcu/c9L40fO/egPTGQ9k384qLWfqyMqE3HsBR8lSGVUX0xgM4RB4g g3rjARwgDyiiNx7A9vLAk31vPIAjytatpk0hvfEAjlkwXoX0xgM4Rp6iKaQ3HsBR8hRVIb3x ALaU5wbsD/+vfvxyI/zGOuOhGvfNvAVAeQOgvAFQ3gAo7zNC/AG5ib92PBRmPQAAAABJRU5E rkJggg==</item> <item item-id="62">iVBORw0KGgoAAAANSUhEUgAAAIYAAAAcCAYAAACkhMe0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJxSURBVGhD7ZgBkoMgDEU9lwfyPJ7G y3gYloQUAwQIrWW33bwZZqoiJOEnYBdnGAImDEPEhGGImDAMERPGt3NsblmW0LaDbvYxYXw1 h9uiGPxvLw6tNkwY38x5upN+AsdmwjAyzn21rcTgnG5f7Yxh1Dh3t3pxrDvfXOqYMD4MOCfE r4y8dSrCyHZiwvhPwKfrc8IY+6S5F9oL1z05SVeh0ihlC2YGf4ZtdbyK8j6Sv0lmviUgbX97 9o0D86UxaMGEEURxnyEjXHNrhZEv/mUzG4s3Pi7+6bP5nnhRJAOKgvXH61uD0vG3Y5+WNEZ6 UQBpxaAsnC+MADqiEoYPVs3I46CAMnygr0NXyNTkdViIOG94nhzSkuf3Ifvbs28OnykMzKiQ CRpbj41lC/qYZU9yryzxYJd8modsfmQ2A8ZT+CH627VvDhVhUHAg+BNVohMGs+3Rmjb6xeNj oqjyxczKNcUhjJu9X5CJQykKQPRXY98ERGHE/QiNbCu1+fkEbcAbdcWIXCKpTuN9KLYFTeCx H4wtVIQCEseAKICPE0Y0AK/nlbBxYQRah8NkGwGkwOd+o+CgT1gQtTgGbVcLo7Dv/SiEMc+g Z4WBwRSNFBZLEnt2D4TGq0z+lVJyY8VQ2DeDl4Xxu1sJ4YUh6yLbRpCw/fD+6bxS2aaFp6uU 7NmAOGR/e/bN4U9VjH5mCjQWothGHkCFie/kQqBzCx8z6c+pCEYpjqq/TfvmwIQRDAiZ7gN6 BFHE656XL8HnzufLForEGvtWF8CP2VgczEIaoww6zdmd41la/gba9r2ftGIYBmHCMERMGIaI CcMQMWEYAs79AC4Of1SRr8NWAAAAAElFTkSuQmCC</item> <item item-id="63">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAVCAYAAADRhGlyAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFISURBVFhH7ZdbFoUgCEUdlwNqPI6m yTQYbj6oNDQMu/5w1vIjJYMNPjKgEkkBCqUAhVKAQilAoQqAKyzGwLKmx4nanAWz++Kb1J91 ifMczTrY4kDWb13o7bK/ANzA2TgwHWBwdNnTGR7GJHVzYG/zxJjJuZn2eQWSL/1bRFAeKFbB WxGx+Uqrxsq0HwAQKxcrRqjgg4W0mqKovl5lsTUqD8W0bwLM9oLm1wYqW76oAcv4iI0Bz4tp /wCwP+u3DbhsT55/DBD9wAOjKqZ9BeDE05gCWCT2lS5zYJKbEJn2JECkPgVg8OHrPZABkWlf XcLxHjZhCRMbdvDlo1PY+0RCZNozDpFBp2uPsmvLl/fABkSm/QkwvRCqJFXe9W+gDjJWzGjQ z38i6bsH6PL5FAZ9tCI55ZjrsQ/9qtdSgEIpQKEUoFAKUCSAH8bQKNE9y2uwAAAAAElFTkSu QmCC</item> <item item-id="64">iVBORw0KGgoAAAANSUhEUgAAAF4AAAAXCAYAAACChfjKAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGsSURBVGhD7ZaBrYUgDEWZi4GYx2lY xmH4FFopClqUJyafm5CItNgeWqJyU0M0wQ/SBD9IE/wgTfCDNMGLZZ1RyhmLU7HKfhO8SKtb tHKqGXyEXvL7x+ABpvFohFoXp+9UfMXvR+CpQhoSe12fAJ9aSSntlpVaBJ5h/e791kNXsYGY jV78TKJn4K2hmPw4A7P5sRi9fVbx66K3wK2hoJLDXfBZkKUh2LgcWxTsr/EUgp0o0Kfg+cGf CP22QrEmPO+umhrk+P4u+D6qxBYS4wChI8pAHxXABr6x+3cHFucH8F64kJ8mB0+t7oe4rTup FBtUUBaHtEjArr3i6ZCK+5MNX8R3OXhvg1OUh+qTsNCuWdXkyYjbDNXjqqnFdrxafgse9g3f PBRnRdfg80ACrGSNyUiT6q16bCPAg2IxCfzPwcdgofqCAS3CCG2c1mW/iGTfkFhVF7G9cdXw b2Klx6qnd7V92LUMfpbtgxYXSsnknfABBSgs8f38o2oGT6f4JfZQDPx3kp6/LBH4eJ9hu6yp 9V//q6mKxfSlijiRsOKnemuCH6QJfpAm+CFy7g+w64ibU+zakQAAAABJRU5ErkJggg==</item> <item item-id="65">iVBORw0KGgoAAAANSUhEUgAAAHwAAAA7CAYAAAC5Q+5qAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANbSURBVHhe7ZoLmqsgDEa7nrsEF+R6 XI2b6WK8EEB5BArUOmj+833OTNsRNScJPvragCggXBgQLgwIFwaECwPChQHhwoBwYUC4MCD8 J6zb/Hpt82pfDgSECwPChQHhP0G39Glb3vblQED46by3ZXptLwiXBCpcGBD+XN7LNiWXYBD+ TNZZzdV6voZwOaDChQHhz2edTRv3l1T4rH6OB4Q3QrKnRV1te6+dcFvtaQKMA4S3QEKjVs22 9HGB8Abey6SqN2rVEP5g6DJMdIUzJyenBGDUkx69X3qO9vat+3jdPXdmKQ5WE5v8//QLp2xn Bj0r42mcES9tnPR06TrmuGu4mzneieFOLuYcmfh1Cr+oAmmnL9jOX8JME+bMP5bVEXMmfl3C 9Q5NF5UenSh9LB3XHm+YHIxwc3IYdozemMfxC4Xv7difX7hMS1vFzj6GfZ0l3oZrldHYT6/y KuFczPvidwh3c0e0kmkvXsBL84iVHe5sGTo4O1+tMzeuOZDa8TTuZkh2aRns18TCXQz9ObwQ 89b4ZSrcvtZE75nsywjXcGMUOTKVX8fs8FVTyOUEhWaX6IStHPO2+H0WHq1wvnAFrRO3LIcE 4bljN9TFvC5+1cL390otXdMsXI2vMnrNHlS0/Qq+bensOictCRXCyzFvix8r3A8IBS9oMXqA wg42Cdft6NhJ2la8Io1XSLC7UyM8G/P2+LHCp0lni8nIeD7R6IGzLZYVbrIszMBo7rHrxduk dvYxe9xYIydGWGn+8e9L4TjTmPfFr6KlcxSqnMbgP3sv84dMjtHbeXB1N1GIeZY0fp3CFTmx 9D4nKWw/n4krApSKKYWP3yHcynbtpS7QXgbRXJRbV8tuyc40M++PPqbWCuWoiU3+f8IKBz/C zbdnCP8OCL+Msyr8OyD8MiBcGBB+b1quaAgIvy/FK5IcEH5vUOHC6BL+9/cWILwBejhhW/nR 0v174rqCtVj3t1rJu6FVnxy/A8IrIdneQwkn30mkhxT2c/6bJ2MA4TVQlUbzb9LSo6dXgwLh FbDfOOHmcC4xBgPCa+C+pJAIV3O3aun5b56MAYRX4U7EPJGB8PDRL83vg/Z1CK/GSU+X6Z/5 TY5tItBn3kneKEC4MCBcGBAuDAgXBoSLYtv+AxEtz+9svk72AAAAAElFTkSuQmCC</item> <item item-id="66">iVBORw0KGgoAAAANSUhEUgAAAGMAAAAXCAYAAAAfiPFCAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHHSURBVGhD7ZaLkcQgCIZTlwWlnlRj M1uMh/jEKJrE3ThzfDPOnEoA+ZXbzQjLIGIshIixECLGQogYCyFisGizb5vZtZ82+BzKbGBn R8/WUfcrYjT5mEMNFFjvYLNDeXEyIJ6zqfn9Z2LYAofCDfA5jGKL6wQj+1YcdcAOQ8OviMHR EwP3lTnyytfWSngx0pPc0FF4SrnTzKajvPPTH23m5pN4JobeQ04w7CJpUYGBVhX9ZmeAD0hF 8B+RP5jeaRCbiPKVQDsmWky4M3rMyifxVIzixj8UI14u9ANncLuBpBRxhh/nQW3AC4e6zfN8 yG2uDa5qUYxGgWtiFAJWKW1wfhID8BunG0BagSsSG3AWU/O59zKCcCf/tdzKteAj/9ivUTHA xk89cAPgkBp/N6ekz22APzy5eczoMyefxD0xrF+MWRa+EjdvrU36YtBE8Xl763fEmJdPgvrs UhTNtbzie/JKG+2shBfDHcYWCA3Cph020M/b1LfyuSBGHtO/CPc6wlryk6/3c3CCRb86i+Mt eDCx7BDl/Nesls8kxsQAyp+S4e+3WC2fGQyLAUeOrYP267dYLZ/nXBBD+DYixkKIGAshYiyD MX+phc467Z/1vwAAAABJRU5ErkJggg==</item> <item item-id="67">iVBORw0KGgoAAAANSUhEUgAAAF8AAAAXCAYAAABtR5P0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGkSURBVGhD7ZaBscMgCIady4GcJ9O4 TIbxiUKiVCF9udSk9b/jrhYt8ElITZgapgl/oCb8gZrwB2rCH6ga/roEa0xwHtc/JR+cWLvm l9Q+u8NH8OYn4a9hsVLtml9SBt86+8WdD8BcLP2gtNrPsOmcnfBJ94G/P2bG2LCs6G8o79Gt Lx6LHtMybrHHLnF1ROfge0c5RYMvNb+kFtd4pgm/LDwH6RexJaCYpnWxG1jv6niQg8WE0j6t 2KSz8FnTaX5JnKt36fOBsXPmLf+O9q6oYqWcSoiQTxtq1Y0tk4rYau/Uq/klca5p/QZ86rxL hUlVoaBLqlGTL0kv/n+dTxfVg9/1k2hfuYFzpT24zOKbQOm7/iNGyWimK15yhOxhrBSd/Tpm roUPv5ti8po1vyTOFdcKfBwFQqUt0C2TVYNK4wNjjoAPennXaX5Jh+BH5VvNwMCuHzd4wZQc JQYG4+YTY6eMiR3NOezW8ktx8tjezvoiFu64rxIY3oEHod5c94cfxf9qfuTl/wE9An5Evo0m 6f3zND0E/ndqwh+oCX+gJvxhCuEP/jV1hlrX+vgAAAAASUVORK5CYII=</item> <item item-id="68">iVBORw0KGgoAAAANSUhEUgAAAG0AAAAvCAYAAADpaEQxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANpSURBVHhe7ZrhsaQgDIBt4PrYGuzi mrCP18FW46/rZIvhDBCEAJKA+taZfDPOHOpT8CMJujcZ5XGotFHWxUzTYlbfHObzNvM0m/fH twuotAHWZTLTcpquiI95z5OZK+ZUWicg7BJfEZ/3XBSn0nqAlHi1MU9pcqg0MatZzqxhTfL7 qTQhkLJuCrIATZMqTcTdUYak91VpEm6sZZS4tqk0AbwVo1uuTxNs8L4FUYL/9qfE58zvrcVg mzCYIlUaG3jQxy+9MVCHUMi6pCkV5KMAex4neuGl219PpbGR1rM9mhIn9otHfB3udffzVBqX aKazKX2SgrqYXMfJ5aVdlSYDBHDSWGCLjE3OCukviqQ8HXKlgW83AVQaF9HKcY8KAGoY/q1K uxO2NCch1DKbIqOVYnd6VGlyRJF2AF2I0PYBKk3KWdI26JK/9CW/REWaexFs9c3mZR/yJ42j C1srMPVc3ZcTpWFKtP0WXLMgjeTiGtD5EM48yVewz9b1Hmk/LzO9fnzjd/h5/TF//9FI80Wz PvhC0cwK6x2QydLs9wmcGml9lNNja/D2uPvDQGlfAkYwr9iyoP1Uafvgk5oBO5PUiNybIuN6 6rZtICuVFtUM2LJMcHA8PAM3rjDe50gjEXSCNLp4yDbOhQ4jzQnZV2ReUBBzcNyOD/tCxvn9 0ioiStLoA7yDI2mtPraO18bDlJZMQOHW4lAaXiTroz1Ooq+072rog43aLn2WswFEV+t4dm3k +yMNB09luFQS992eJ1g9Xp4ebSTRhx5ljtbxJ0sD3AMmsxI6HyRV0ujVHEnDGhX1O51YjeM1 aV/5nuY762a8M+qiDfeRQfr9bWH5QxrCR0rYlsVOHNfGzID39FuWCWrH3STE/cnYvjbSlDoq 7YGotAcyJO2c2q/SpHRL2+ukSrsbWKj1PvXailQELJ5Umgx48NkqlIlK+y22NDcsLXrVEBuE NOtem1Qam32mi/HSwnsk1Efpp78o0lWaAPhC1JXiaHq0baG0TTT+MqHSJPSuIIvSZBMgnjAq TcReV0QMS0vvq9KEwIzff0BlMigNvvXG91RpYqTRBuf7FSPUMf9fI0K76T+/n0rrwP7Kwc9t Q5QWPyqtk+6VpACaFhGVNsCV4mrCAJU2CIg77QdewC9SjhY7Ku1xGPMfbe20U12u1p4AAAAA SUVORK5CYII=</item> <item item-id="69">iVBORw0KGgoAAAANSUhEUgAAADkAAAAVCAYAAAD8dkbIAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADoSURBVFhH7VZdGsQQDHSuHMh5nMZl HCbrp3ZRLSv0ITXf54FopjPSlMAXYIvkgi2SCwqRGqUQKPUxvYBRgMLuc6O1dyZGeRORBhV0 JNDS7pHWDj/pMmUKCLz5SRqFcPtwMCKLO3JQNrISNN7/RPo4oEoz19Zmg8h7K1LLUL5+uMWs ZCIeKFkib0Nk4dQgWWZWbbTedI3IiwQ1ssKYJSDyVkVGh08JfJzRNxn+SWWSc5fz+xpdjlyu g7wRHY2nKBNXOt/kDzSdCALvT+QhMLgbTjC9YaRiR28eVIzy5ifJFFskF2yRPID4AbEGbkA1 DSJTAAAAAElFTkSuQmCC</item> <item item-id="70">iVBORw0KGgoAAAANSUhEUgAAAIkAAAAvCAYAAADXYek6AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOxSURBVHhe7ZrruaMgEIZtYPtIDeli m7CP00Gq8dd2kmJYh4vggNyM45L93ufxhyFHUV5mBnImBUABSPIJlllN06wWezoU75d6Tk/1 etvzBJDkJMs8qWkeUo+At3o9J/U8MAWSnIAEGd6PgPfrmRQFkvRCKeabDLGkxIckXSxqrqlB dL4fLdrEzwZJOqCwXBx4K8g0nCRx2oEkzVRGEWLISELsnxGStNJSiwwrCT2m7zckaaRpRbNJ YpaYlHqmwp5EO/zaFAX4fYLvPF/rWQXrZHApB5I0QS+7YZC3usT/jd5XuWDjjeoIJ8Ay769P 93QDrr9XYzn13V4PkjTRUI8QyXRjZnpqnIxAmSM7uD5a7L6m+xD2ufYZ/PcgSQvB7KoiI8nR 7uYp9P1YpKMaatdnI1PWNw19D5K0Q4NQfruelCSpgfwIq3yrDAulkyBSxOmlVhLyy/QTkrTQ ussaSWJTQss1qvCzntBpy94DkkjTsRWvB2kVxR2fTzNWPCejFVPfj9JMd7qBJH10SHI7Wpqg UOXnGSBJDyNKssKXwLXR7ECS4+WZodQuD182Xtq3QSVxKUa/o4b+JyRhuS2i1C6PnyGLjCQ/ DzU9fuzJ9/Pz+KV+/+GRJKrGGaV2UVhUk+jbsJGkj3S6uUwSF4XqCqYqeF8gycepkmSX7+nD UrsQfFmpfxtZuCRBHqYj2inNtG/PaaLVJjckWYkkMF/aKLVXwovN6KgZCNaX/bkRwFfxVohN hEw7ibD1hUU+SLLCZlD0PkrtkuQk0QPNBrilnV/bUSnJTvh/+CiRlcRdJHofpXZJ+EAG5yYd 8frHiE3Ro9QeXduBSLISvejjdJNsr+TydKMjBR/kIPqV2iGJpigJYQYzmHGldklykrgaI+ib lprVJIftR5L89/sk9sWY2WwMMtHCfRYeqfacLPGgnMJGgu2YZx0FzLmLbu6e9ghXL5qjdhNR 3Oc7URBJQBFIAopAElBEXJKgmL4BSNKDqCS+NoIkI0HFveSIHa2yRKDCHpK0Q4MWrZIuBJKM yJoCbpEkWK6LpjuzZQFJmvCzSwQrybb3QzVR5y53M0HUhCSN0C6z2GTm6UafC0myCul+JYck rUiucJKSyEgaTgZI0ozP1ZdzmyT7Z4QkHdAs8/+wdCE3SUK/yYXPB0m6kIgmdA+7oqE6xP57 5nZ+maPxs0GSTvQv4NfHfXFShTkkOYHoSkcAnmYckOQk3yLKkSAEJPkAJMpt/6F3FlsM5wpx SAIKKPUX0HNihgas2DAAAAAASUVORK5CYII=</item> <item item-id="71">iVBORw0KGgoAAAANSUhEUgAAAEoAAAAVCAYAAADhCHhTAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEjSURBVFhH7ZbhCcQgDEady4Gcx2m6 TIfJeWqvSTUmECwc5IE/zg/UvJr2AjgqXJQSF6XERSlxUUoeog5IIUA6+s8BKd/PkQKEcobv iPnsszfWnAOJOiHHtsBchJTvpxb527w9NFysNV9Bb9SZIa5ESPlO6t6plIc4Unlwfc6aC/yP qFlR+DzWXGApCvdzvbJSvpNaaATSKYMIQy4giFovPOQLiNTZEE/b3ikh5vK27JDirfkaRlRb dDi7lO+m708lo3ay5gumoq5FOFFs/irtK8x/taw5hW29M8cig2+9ab7A3nqUuj9uowfW/Ini ZT5eXTZ/hev/HLevNZ9ziyJt1W5KuzXXHB6zfLMwdL5pu1hzAXqjHBYXpcRFKXFRSlyUCoAP 1B9CM3rpqYcAAAAASUVORK5CYII=</item> <item item-id="72">iVBORw0KGgoAAAANSUhEUgAAAFUAAAAVCAYAAAA3raI2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGwSURBVFhH7ZWLjcMgDECZi4GYJ9Ow TIbhwBiw+cVcS3sn8SSkJiFgv9hUucPbOVI3cKRu4EjdwJG6AS71vpxWyhmL1x/ndpdWTunL /xKA8ao0SOD3pcv9PLS7yMJ0Ti9na8i7C1KKVBLgd6RaZ1ICQqm1uBI3WYsOuq41/p7xM+EC 5tO8QSiZD9dCMX+sUlGUSKoXMQrUWpRF8BJ1LtPYEez1IDnvG5+X+R72fM7/lQqVFitQEq81 pPUhT34U8HvtMRTiYpInDKTiohB0tflmZFJpfDimZn1V0zVZ6yeqIwBdxHWr9x/oSqUi42Fd B8BhB3pvLJS+vP0TRfBwG9b6HonUQO6Gef41gvbvbLaRdamR2R8Ja/1AT2qTe/hYYU7Mf0Ws WKr0PHmV30oFUV2pndaFPGdnaliO5wwfTRjXs9ReABXfbX/ES+07rVofiEcGnc/37XVnuCer 1gepeF4tSHmVlYrIhLgH7zStnwiVPZSIedM12fw5XKoHvliqMD8+1fYpsbI3lVEliR8/zx0m 22l9As21rRvc83GPlkbq4XWO1A0cqRs4UjdwpL4d534ABI7aoPmNyLMAAAAASUVORK5C YII=</item> <item item-id="73">iVBORw0KGgoAAAANSUhEUgAAAEkAAAAXCAYAAABH92JbAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGPSURBVFhH7ZaNrcMgDIQzFwMxD9Nk mQzDMwaKARMoP69VwychtSF14LhzeuhNlS1SA1ukBrZIDWyRGniJdMpDHwcZ8nQz6ZzUYeYZ xE66lBYghFCXuxAwQnHXn0Aet1OCW4SO9DDiEWc9DaYnXVoJiJVQ8Ml/T0T7GtxaF7cAvnG7 2KF5wFl8zPwCqaAtnFr62iy9dedwKWGf7QcslBcJwGYNDhKFU6I9Cgs3xTEIULq9r64lfsEw o1YLzUFS41pPUSTvJtZFOEfFM+5otbwVil3vUN25BMHvRMIFFjZjFI6icLPxDHqvfQYuxtQb qjsHHzd8ZtVJNyLlMegVyawj2HusrqnlT78waoVQFOLcz4uU/2ZUpFGsi5JDK4lkJ29OYELc bO2k37xd19ea1bdI/GEICW9289nNvkfaYLOGe0fYOMaDKjBUdx19IgHpq5r/L8VB3ZFHur/u OrpF8ptl44g460bxce4x1zH7pMbrvlrd/2dApDYupT4el1EWimQd8Q1xGWW5k36BLVIVrf8A Jbt3MDc/tKYAAAAASUVORK5CYII=</item> <item item-id="74">iVBORw0KGgoAAAANSUhEUgAAAFcAAAAXCAYAAAB+kNMAAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHZSURBVGhD7ZeLkYQgDIati4Koh2ps xmK4hIckGCTrHY638s8ws0hgw5fHuoufGqYJd6Am3IGacAdqwh2oHe5qF78sZNg1rdRr1peV t2v1FpgQVEw8czfnDRgbt6UHRQhYev5ebd6ZmHA6uKjVwgbjGUeE3jrhzUrJqIebI2IcfMrz CvajlTPqhvb1OVwQ3QSZLLeDUhYlED3FHrX377CvPkdjc682Z4o/ODLNCi77bYKHMlxQMISM NY0MoD04fHkrfILC2cR+tcfK0NhoxC4sjZ7fASD5bto2D3C5j024eaOYtWGNQsds05chAwfO SvfT2NytEqgarvzW0IabylO8FEaPlWcsWy2AHRw619iksblLuS0EN4TMzVVQu3kJ7rENXICL Leekf2psNCrZ1hg9pwNMUpUCXDwiBkDbFu6Ae3I5jc0dqqGxOYGLioEsgRDhxgPQMI36cn/Z FuD81p+Wno2s/Gah/w04V0yyzMJYeHsi8zgibM4NGKUTPlO4MHG+nne0g4uT4Mwxfn2bp+sa XBBenr6K6TOrAgeqSw+lsXm6LsOF66by4xCKUjmx9sFLLK8FkPQ5HaLN/4D8C7g6bc6p28W3 aSDcmNmftItv0/DMfbMm3GHy/gfMMttHKL1QtwAAAABJRU5ErkJggg==</item> <item item-id="75">iVBORw0KGgoAAAANSUhEUgAAAGEAAAAXCAYAAAAbfSF/AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIUSURBVGhD7ZaNresgDIUzFwNlHqZh mQ7DBWMHG4zlPClqqscnIbV1+PE52OmRN19nm/ACtgkvYJvwArYJL+DHTfjkGI58hFg+OfjE HI7yPI0zYUDyiQGfOTN/Ip19bojjjimftG4Zi6VVftgElrTThC7uSihaU4pfAQOuCe25bkS9 DH0O7eM14ufbESTsMqEIZ6qCBmjPQAUNxqSzm5ViloWBFep04f8xAURbVUAN6xUAcMEJbG0r nWXl2KAJ6BwcMhRXqSzr5xpv3/U1rdjz+Ezg+eEQB245hBgx7zqY6GACaYGYJrT9vJqISuAJ pZMO0ROYF7Via/gLTh03FvO3I0I5M1ZJKOvInEkDvJR8H80Yohp040xDO1qJ2n7XtbFiz3Pf hIZoF1q7QWOuvMZ/VjCGOUg6F+YsmN8JsNm4CBeaWlUZkLwVe55/NQFEtkzAXC4TBC3n+W9q O48+Z81gQtm4JJRqYuJQ8rZLp62YznfbEVKE79sogquXsbHcs6wpjClrREcqzIQqZhdevt1J aCl4w4o9D5zzrglKzwZh2cWT+RMtR7UNYfuSQ3lOAU2gxVFE3v/gsD0+L2zFnoS1PhhzdV7m 8HzqWJgmKpQbwOavWtA1jw/njZzfCSotqbrmfEOs2MbDbRPoBnatrdjGg8uEXqa15LHU6/dS 1tGIaSW/mXFWwuZJtgkvYJvwArYJXyfnP3UtPcrsAjpkAAAAAElFTkSuQmCC</item> <item item-id="76">iVBORw0KGgoAAAANSUhEUgAAADQAAAAXCAYAAABEQGxzAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGuSURBVFhH3ZeLEYMgDIaZi4GYh2lY hmFSwjNgeIhWe/3vvBMrJF8eYAX8mS4DWa3BxPtnZUBrG++LLgFZLUEyiz4lzv4+kNWgXoRJ sloBdWMTyIKW6qVSa2VASe08CtoDctmRaoCDvwsBo1fuEwZX5ixtAU1751Gg2p8NIIzIc84u ySgQsew2gFzNipLinxACidDTNVAulZAF4e5F67x/ZwK0XHKtHQwWtRnG03WITwXIUx4hjMIx 2dFmQBEG11ktS+yBVDJGJVsFdg8IxUW2febBB0Aobp2hes4v9iuxNweKac+7mn/nbiAndl0K lMrRXeTc8SJzl4Hys68AORvOSYOlR8u7yZBRHbszIEE88T1URWShUU8BodMFwtvLExPQpPS8 vcEuJ93JGzYHJr1N1FixQKlkjhnIvZMCmu2W3+t5jbrn0GJk174U+PJoPybHKsGrM1er/6Ww COTfO2SOyK/DRRQdHET6IFoN/VKnvVWAIkwqtTFUxzFylh3n45zJZtIonIF44bwA58dtT5Nx naEzcgH4o/9DQef64QtignoJaKeMblOnjy8C/ZoAPhP1AXUCXRn3AAAAAElFTkSuQmCC</item> <item item-id="77">iVBORw0KGgoAAAANSUhEUgAAADAAAAAXCAYAAABNq8wJAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGfSURBVFhH1ZfrkcMgDIRdFwVRD9Xw 6zqhGB0SLwHidZfYyc54xpkEs5+0sp0LvlzHAM4YsPH8XlkwxsXzoiMAZxQo4SJ3Sdp/H8AZ 0A+aT3JGA7exCeDAKP1QdFpZ0Mp4R0EigNUXXFc4NLr21Vd0MhB+n377dmExVe5CB4DmU84I xNP+rLJ/KwBuV/w0AL49nREkvs/clqymwiJCDSBWEqFKyz5CCHCFmcwA2JaU+3BE0wS1ANiO UOhmuX7oeN5LTIAg5mndgRVAXJMHfkNUrBgBq9PdrcC9FoDaNQFASeumGpndnDe23/87gDoG 8BKvywFSvPzB7vsktvYhAG/Om7I0d/wBWXfA6sG+RwA7g3UEgCaLaXrW5IUJYBEl2q+5C4Ws x5bh0V00fpQ0AZcqnLMf15WYlO/rdY2Gz4GBlm+hZERud/vyNVcpVt2ZWpMn8UBosB0kLtbS WmhoUslOvNvj6PLZ2AMYGWGx6zfCNYvhb1ReInFdgCnxSgo3gPR5E8DLV/mL/w8EneX5DRKK eATwl1i8TIM5PAT4NAH8AkB9quP41P6gAAAAAElFTkSuQmCC</item> <item item-id="78">iVBORw0KGgoAAAANSUhEUgAAAeYAAAA0CAYAAABfEptfAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAjXSURBVHhe7Z0LkqsgEEVnXVlQ1pPV uJksJmODH1BAEBHUc6p89ZIQ1NtNX8Qk8/cDAACAZsCYAQAAGgJjBgAAaAiMGQAAoCEwZrg3 3fv39/ent3c3PAmngf6N0P3ef6/f5zs8hIZYxwZjhvvy/fxeoxnI/3tzeFGZTqQvOJMZS/H5 ++HNdejeMjnCmFvEFRuMGW7Lt+t+Zh36fl6/v9fHeg4K8v1aWksBwpgr0L173blibhJPbDBm eA6yrIoxV0FNinDlCoyrFhhze/hjgzHDYxBzYCn7bL6/z4t7zLXo3u++7Kv/YcyNEYoNxgwP oU9+rpbrwT3+81HLpMP/Mea22IgNxgyPYJ6dQi1Yzj4TY6VisRGC2mzHBmOG2yOGQDFqALnH TyAqwRVzu3DFDLdDkjpwFdCbgbV8ai0hQT4b+k/IVQLGcDyx+mPM57M/NhgzXBid+OYSkIla Oh1enzeWtI8jRX9M4XjC+tusiz+UJC82GDNcm+FDRdvJD0VA/7qgf7tkxAZjhmtDYaoL+tcF /csjn43oNVZbitAYMzyWKfn5vmwV0L8u6F8W0XfUc9A6+it/GbHBmOHaDMk/3cNUs1vupZ0G +tcF/YuS9bO+GbHBmOHaTLNS8zGF6TTQvy7ofy5ironGvCc2GPPD+X4+v7jFlZJ0v8/eSuJM fuNx46B/XdC/LlfTX66Y05eyPY8DYMwPJinJCrP7WC5cmNC/Luhfl+vp36X9rG9GbDDmp9In ybuRQTHy/bzTl+CuWpjQvy7oX5cL6p/8s74ZscGYH4l8SrDFH9pInJFK+z7R1acd5d5NpxN/ etzWuDdA/7qgf12up79cUadNdvJiEzbmlE/4JX0aUA7aDIw+ibxZnq+P5b5qMXxkPmngFUJm bgGxJQl1Ap098xaNWi4oB7Ghf71cQf+xjpD/Bbla/em9zVrm7h+XPq6gMXdvLU7MfYDotsrA TaMcilBWEObB5OxDLSHUTHhjsDdgzMH7KVZ8fJOdcsTd67k24XOsmyvP1l9q0VybpF1eXUrn 8fnfWP0Zc8Deyl/oBYxZROlnBmK4mwUitq1utzopZZyZAdjqQ71eXtAQKsjVjVlPhNw6OV6T gXLmMZ+9v9MJ6T9TLVeerH/3WUzeddtTf7CjKf3l/I+umaH8d7z20PrjNeZp5iAHunG1GdtW rqqdM6UzjLlHFbvNnQyDsYCJt2HMMjnyxEhpuHjN9VxJVA7VnUCVJaC/QVVjRv8JtRKYVZgS aUr/EsZM/YnBY8wSkFEMETK0RB3bdisgs6mOy+Jqix0UUx+jsTreq9rUE714sXVpkJLozqTU Md0Ow3Kf+n3z/iP7CR1f6+Tqb5CeK+h/pP4a3U9cCbqj/nJOCfUyV3/qz4TbmEUg4wy0UXoC FNs2NBOZAqofdu8dwgx9TIFQ+1v2ExvkGWuS4NoSOitqzOp8x+Oaz3sVj2IDQ2Oe4/z1gnnQ bPbTyMBI5gj9DfbmCvofo79C2ibG4F76y3Eb2oWg/hyK05hFTOsEBtFdJxXbVgm2En1AiSHv STfOiakP8/FSYN2//+q/LDHFVidyYAuJs9RAWD6n4pMwMFx9BvENAv38Zj+R+1vpkrj5qKq/ QUyuuEF/q8lO/YVdFwjov1//C9WfECvNEjfVh/rXZDgw1xtWQUloG2PM43t3ibIU1Clw+8ac Rcw5qzaegeF6LdTeh/M95sDQx6TivdTDewzrnGqO4Th362+QlSvob7Bf/92nexv95Zg9NdtF rv7ec9+Ol4XzPRn6h1Dtj4/NypglIV3GpWdSdpBS2jpnQyPDycm5qYKUGgjB6MP5WKEDkqJh 1gxyQVaxjSHmnFUbn75m8mrSj7nfX9++U3E042337b0aCR5f42TrP7M/V9A/W/++Vll1rX/P x+ozxJ30l2P21GwX2fpTf0ZsY1YH5QnEILo984lsq5AAhcQwRRPTS0gIYdHH6rEQOuYTUOe1 q9hGMpyzOVlY73MxUJbIBGpqv9F2hT2Q1b7ngAwDYz34LCrHKIsj9B/Ylyvof0j+Sx/WFqvH 3fS3z2eTo/Sn/hjGPIqqtoWBWq8tt422RlBEqNUVtmO/+qp5fM4USQdqPVDG54c+PD9/pvrd jLIOXPLEIIh5fPYxHcqg5etl6Lcq7huJ2WPq727nisOo2/AeM67qGObXg9paA/NiHKJ/TK6g v5NM/e26Y2yrxk/RX445cKxLDsl/6Yb6s77HXBQRNN+Udv3Yu9p3QpJdkSEZQ0kvSOK7bkGk khaHeUDaM1mbo46tCuhfF/SvC/ofxsnG3KOCl2POInCqweoZ1lbCXJ7IgaHaZc8KU+MwD4xQ PPZ9ErYR0L8u6F8X9D+M841ZIcKkmqsg4qYKt3dfF2MYFOEloJHUpF6SHgc1S1XHJu/Tg2Re ZhrpY7VrwOqB5j13WZ4qdftgBP39547+hfU3cC3Fov95+odIiE0lY4bq9APpFn+PdjHIZSlq VRhU8m8Vi5O5jf5iykv9F0UX/aPYp7/JMEFyFn/03yJf/xBpscGYH0zZRExk70CN+cMDnllp bW6hf3/1Yb9LCtBCa/Tf5gCjkl+6+sjEKPKqrDZ30z9Eamww5keTviRUhH5Q5N9zmll9uEP6 b7Aw3VJ/6Ws5/Uf/MEfo3xd4kV2tWCz7Qv8wR+a/ix2xwZjhZugrZssbVPLn3NOCKHwFDv0L 0/3eQ8L7iz/612FfbDBmuBdOc5DlVQpTSfS95b9hW2qN/iWZ/1iDp/ijfzX2xgZjhlvh/rpD n/yrAQElGA3a/i4o+hejn4iaPxfqLf7ofz4ZscGY4TZI4ltL2BPf3+dNYToHfSvBNmb0L8X8 NaD1No8F9K9BTmwwZrgHXfgPD3Sd07GhAFKQlhMk9D8H91UZ+rdASmwwZrg+6isHy1kp99Sq 4LzHD2fhK/5Qn5TYYMxwaVSyr0y534xLtrGNe5kbslhOihyFB/3Pw1X80b8NUmKDMQMAADQE xgwAANAQGDMAAEBDYMwAAAANgTEDAAA0w+/3DxQh6jB8YuzqAAAAAElFTkSuQmCC</item> <item item-id="79">iVBORw0KGgoAAAANSUhEUgAAAJsAAAAxCAYAAADN5tsEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANLSURBVHhe7ZvhkYQgDEa3LguyHqux mS2GEyIKMUhAhuPO783wQ2XRhAe43N7HANAJyAa6AdlANyAb6AZkA92AbKAbkA10A7KBbkA2 0A3I1oLvYqbPx8zrfgxEINtT1tl8NtFsgWz3QLYWYGZTAdlaANlUQLZK1pmWzrBAtnsgWwVO tGkx3/AYsmWBbKW4JXMyizfNgmVUBWQr5LtM2yw2m8gryKYCspXitjows9Wwy7aaeUsWf+E9 SjaL9vPhaKf2niU/1Qa/V298roJnaCWbJHKKkrqXnP1O/0Qzm7RE0DmW3BAXdHjta5aJJK0P xndoog3pvakr5/Px8qQD/ReNSRGYuu5A/ZOVzeEeeGs8+AZGJCxuMdJzbbjriQHwJ6Fczuyb roy27lj9o5Ntg0ZSbKs9J46sHsFsuOfN3sSP5LHFtLG4XCqWR23d0fpHLRtdCxu3oyYRKHsQ P+W7oo3waOOc9i+fdXXGlkiHjdHn0ub1bnnU1h2vf9Sy0SgKAru8CwRcgkmPviR7G8fIFUcx JVubH0uUWKmUNNYKG1twX3rGm37Q1B2wf6pntlsxj2DKZThgCaFjOZj0LPA3sMJEOXIdJ+dN W3fE/ql+Z9ME42eLdsHwtv6BbCxXUeGJK6g7Yv/oZNtHTxSQcpqmNrnxCgqCic/dQ4PmpmQa Ez+jLBI2P9JgkZbHkroj9k9WNjonBOMaSjwku7GYjByaYNy5wnZH4u7593gPuUrqOsbrn102 MpCPRF+k0WSxD3m5tt+UPkvBnsLaEgbl78sDDZ9na2O9tmlx7UbRSQy69SHk6SC6xkumLvs1 ykj9I8/tauxNWfAVfJe5og1778EEGo6x+uehbBtupDwJyM48pdLQyMpOamCo/nkum6N2lgk3 KLXU3uvNjNE/jWQDIA9ka8H+0n0uG/Iy8nYg21P8HuQhF4l2HgMPZGsBn9kuMx2wQLYWQDYV kK0S2nWPy1U2v6G8FZgH2Wpwot393+gu27Gb7t7rnux1/Q8gWylOJCZObhmVPvNCIFsh9HdE tmmpki04fimQrRRpSYRsKiBbMX4fLZjdIJsKyFbFuXHLi/+pNR1vM2Di5zdvBLKBbkA20A3I BroB2UA3IBvohDE/jHILJhj8V9EAAAAASUVORK5CYII=</item> <item item-id="80">iVBORw0KGgoAAAANSUhEUgAAAe8AAAA0CAYAAACjB7CVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAjpSURBVHhe7Z1rsqsgEITPurIg15PV +OvuJIvxMgMqICjDy1d/VZ46MQShHaYR8/ibAAAAAHArYN4AAADAzYB5AwAAADcD5g0AAADc DJg3aM84TH9/f3obRrMTNAN6n8Q4DX+f6fszDwGoxja2YN6gLb/v9JkNhP5XhvJBdmuIGuSL YdOA/5vg330YB5owwbxBfUKxBfMGTfmN42Tnst/3M/19vs4+UJHfz9GWBj3MuwPjoHTGlTdo QCS2YN6gL7SkC/PuAk+U4NwdmFc7YN6gNvHYgnmDrpChYNm8Nb/p+8E9716Mw6BSK/8H8wZV 2YstmDfoiApAXHX3A+8xaA8vaZr/Yd6gJgexBfMG3VhnkaAXWDpvibXC4W2QHJRxHFswb9AF MhEktBOg9xhA+E7gyhu0AlfeoAkUWDtXG8pAnKVbZzkIyDnQe4Fm7zCTclL1hnkDKfmxBfMG hejgs5dzbHjZ1jy/blg+z0eiN4yknH29XbYJFoA4ZbEF8wblmDdGHQcgqAL07gv0Bq0oiC2Y NygHya0v0Lsv0Bu0AuYNTmUJQHy+uAvQuy/QG7SiILZg3qAcE4DLPVZ6hzPu/bUDevcFeoNW FMQWzBuUs8we7cdIbs2A3n2B3qAVBbEF874Av+93Slsoack4fXOzUTAArccXA3r3BXr35fZ6 C3hzbMG8T+ZK3/Wd3ZYbJTfo3Rfo3ZdH6J3I22ML5n0m6kQNFwm+md93kC8H3iW5Qe++QO++ PEXvFBBbMO/zoHcXXvHLSkbhj4esXzTAb7QYdfAtjy8zvqB3X6B3X56idwqILSJs3vyOt7kS tXGDlGBDoGGSsgw12BZed6BsFhurwz/WeYzDqhG3k2ZYO52mZRinfDdoYFwpKeUh1Vv3W5Wv nmiOeKPedtJCfOfw6nyC3MlszFsHhdcAEovFcI1QUpZho7f3m4RZJPKaCIJ1cHvOHayk03w/ hDVTBvFv7x6Jo1ONyY2MK91LykGstxVD/c37bXrTmF9zwJxoEd/piOP7Yflkt74X5U7HvPcH EgmROujcsprQPoUx+yKBj+rg5wPH7kIogPSkJdzewHMUkD1NpffxdnGT/TFSvVc4ps/o95v0 Hr/eRFqX7fqlJ5fSW8rb88mb+rqPZd46KPYOvL4tX1JWY88WHXqYt4IT8+FBTCKpafTBtpF+ kdUALh9azei4ekABeNpkx4fOiaAtUr0tTjXvF+o9w1ePh2OzIpfSW8jr8wly58xq3iYoki75 JWWZI8HXYOSBrB7zljqglzpm8w28lsv0HbDz6sS6GQ24LRE9gief9PMHbAir/1y/ft16ayOx nr32dSfdTLL0tpCbN/Qu0VujNUwb6k/UO53H5xMuR/X5xzXPE0/pawVW8+aOJxqypCwRFNWw nDD9cBwyOm7qWITm4/n1pJ7EFWciEdpSKvP6xzQLQI1tQuMw17UG52E9HQPwGGp3JHZCSPW2 kJu3Bnrn6c1QWaHmz9JbiFTvu+QT4yl6W8vqHGy1/wl9rUQX82ZBDs1bbq4LSx32Y19AXX/6 akEl/LYRrJ8gAEN17BILNr3/sJ7E4+mBlr/FKJo0SfW2sAeuDOidozeRNVmH3ul63yifBMv5 +x7SV+d8Z2xcB/9ltLklXU2KylJ/js17blRilS6+YEEBL2TevC8SgKHn9srHCL7GDkBzDmnz DSvahvRzXg9qcyR2Qph2JuttkW/eCui9ItA7u3uP0VuIVO9oX4/Pj0PwNZX1NvvcU+Dl7b22 R49zwb5WwJke6hlhvKP2YJOUDc6IZkzHqKw2eaHQhFVH8DGjBXf37VM0Q54JtYX3xfppB4lG biqqr6r8yHraurt1R696dtvXG2rz1c0beov1VjnBmUir13yTD/okvYWI9XY1IS6bT0J9o2Pb +57S1wp4azu6gWRMroDUWP+qVVKWTsBeZ21RqE5B8iD8kx4KAt4nrLcGobawHlvdFmiyswTc QdkNdF7WfrKeqzAmAN1A3HCWVkHc/hySo7eBtRINdAJ6Z8W3et7dUo/5NL2F5Op9h3xi+mZf FG3H5EP6WoHgjRl9Bawabm2xxqaWJSE2S9bzyeJNm7tbny2CPhHbQT7vN3VEvmKO6z08i/rE iCcPMfwktQkE8zCArUO4XEiPuf3mNba+HNDr87t9dAbA2VCbE89Htt52DNEWmmhC7w0Zeofy hfvambfoLSA7vl3dw+UuoLep//OxYmTzuof0tQJB824DCRa5+haQ90X3dOwdwU+AAmwzmclA psca+O6s0qVW264E9O4L9O7LI/Q2hhmpZgGxpelo3go+OSUGTgJKTVjPso4CojukRfEMTarH GoB7ukTv59wZ6N0X6N2XJ+jN/hCuwwGxxfQ1b4Y6LhFthsSTCpN7rB5Ig8dHrgfPGFXQ6WVh HYzrstCM0ixrYOiA1vUHApuX/PoF9hbo3Zen6W0RWhqF3mV6G+PW9R0Z+M37uocgtk4wb7Cg AvYZv7/rDiZaOtoMQA7Ao0HZmMfoTcbt6+0lM+gdJE9vGzNpCiZY6O1TrncExBbM+2yaBXcO uQMi5ccmIrPH3jxCbzXzd19Fg97TFnpvqZDw6Vu3vjRZSrw66s3T9N7j7bEF8z4d+RJOE1Tw ld9HWuFlJtu8qf4LJLdH6k11+dNy6O1SQ2+VRElmXunw64LeLjXjO8q7YwvmDRpAg8pb5uEA LLlPBYLEEgf0rsw4DSag4wkWeoMc8mIL5g3qEzQUWtpFcquJvtf9ZzZfW+hdk/VHKiIJFnqD THJjC+YNqhP+uIQKwE1QghrMJu5+vhR6V0NNRu2vbo0mWOgNpBTEFswbVIWCz1kuX/hN3wHJ rQ36NoVr3tC7FuvHhLbbGuvQG8gpiS2YN6jHuP9jE+MYdHVQAUoC/qQJerchfHUEvUE5ktiC eYM68McZ/Nkj7gF2IfgeA9CKWIIFoBRJbMG8QTEccBvjVpt1KTiXCS+pAxH+RCkw2KF3O0IJ FnqDGkhiC+YNAAAA3AyYNwAAAHAzYN4AAADAzYB5AwAAADcD5g0AAADcimn6D4pRYqOEKU/O AAAAAElFTkSuQmCC</item> <item item-id="81">iVBORw0KGgoAAAANSUhEUgAAAKUAAAAxCAYAAAC73GmPAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOISURBVHhe7ZtrloMgDEa7LhfkelxN N+NiGEhAkYeQOtL0+N1z+OE0IoRrcOzMywCgDEgJ1AEpgTogJVAHpATqgJRAHZASqANSAnVA SqAOSDmadTHT62Xmtz8GGZByJO/ZvKyQrkHKOpByNKiUTSDlaCBlE0g5gPfMW3bcIGUdSHkz JOS0mDU+hpSnQMo7oa16Mksw0oHtuwmkvJF1mWxVnM3BP0jZBFLeCb0CQqWUUpSS7/Dkodwm uJRISSzzNvOherjjq4tU6yO91mh4XIdqeVXK6F0nNXpeXc0y78+tG5JYQsfaJFLaAU9uAsfg 8sO5JNZDSYrjQx9XJh4WvtJH6bluKPv40iadM+e2XHnL69AXSyham4OUXPUqC2gHPUUfSGKZ yp1xtXI4Wn3Q54Vr/xBhRyrP8ZhbSSyja20iKb3VXSOQxDLuzs1FtYyYuIUWqnmRcvX/Pj7f 0aullHVZ/JglsYy2tdml9M8fXQOQxBIuUZWqmgw6bP/Uei+w9bFvOdm5FKNNtk78/IripEhi CX1rs0lZLfm+03gwklgie16JyCZeSdAZ23X9uXS9tB+uINmYTzgsQqlJOruCLwJdokliHQrX JquU5cl4y/fR9cdaWOLWxOXSbCTJ4+PyxPsriCIkokliLRrXZpfSn1x+FklEk8RaeibuEuna /0087euHpfRj76vMklidaxP9omM/8ttVfvFcNEks373tLYIT9PkWsV3yZOL5eOtc3b6L53S2 FB5LPTcud2E4kliNa5PM3t9l2UkF0cSxlQklg+SEVpJUo2fi9DNhv6rwec3yzTk77gCSWH1r k9+SFr4reFJbq7xi6I3Nk2HxA+TzODHH/uIEhJsgTcp+c1Af77xPB/WbrlBGWEy98pbyXZtW b6y2tSlKeQ8nd6SAdZk/6MNdW69o30fX2gyU0kJ335XJu0omlYvv1maRfDqK1maslMSnVctN Wpq0T6/1VHSszRekBOAcSDka/wvEvmWVt7AnAylH4r9tcY0lZCH3Y+CAlKNJK2VWOQGkHA2k bAIpB8DfhBxbLmV4cW/bww2FlDdDQkbfcAVBUym3bzjoufPK+8LfB1LeCQmXCNbavkvnPAxI eSP8XXHygrhLyuj4gUDKOyltxZCyCaS8lfAeMqqWkLIJpLyd/QV52sK/GfCxraiVP+16GpAS qANSAnVASqAOSAnUASmBMoz5A3sDatY2PlScAAAAAElFTkSuQmCC</item> <item item-id="82">iVBORw0KGgoAAAANSUhEUgAAAR8AAAA0CAYAAACzSzwMAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAZtSURBVHhe7ZwLkoMgEERzrhzI83ga L5PDuMyA8hEEhBXQflVWbVyDMD00n5h8VgAAaADMBwDQBJgPAKAJMB8AQBNgPmAclmn9fD7y mBZ1EozBsk6f7zr/1EsBzAcMgkje3XAokT8r/GcclokGDZgPGJHfbzXylpMZ5jMIYsY6LZj5 gAfwm79Ydg3DNmOF+YCh+a3zF3s+I7FMk7Ad/gvmAx7Ab16/woC+ZiaD/uDllvob5gOeApZe vWPMUp1jkw3mA8aEPnaH+QwEZj6gayhBUz7FolHVTmTQilTNYD6gW2QSm9NyE15mqf+7z4uA VpxrZgPzAT2jNpKxmhqIAs1gPqAfYD7jAfMBj2BPZDzPMwwFmsF8QD+oRN73dPiLpNjf6ZoC zWA+oB/cKTy/hvl0TYFmMJ8H8Zvntf0iZVnnq27hTWTj9QN5s2Ywn4dAH0X38nWDy3V5mfm8 XTOYzxMQgk+dJPHGb57yl0tvMh9oBvMZH/qUYfvmcE8s6/Sdrd/gOUc/sMYblotM4mc+VAjN CGU+ZiHuESuE3msGUpZVNlqFynDv1YIa7asIjTQnlTGfDL63zqN/BULq/C+xi2gmYyfum2UE NbhXM2vmw4lqNVgFIWRA/LGaaQbb9SViadG9ZfC0rlVSR+rWgNO1uqXP/abZ055GHpTHOq83 A68Vu/O4GKZ3u/ncq1nEfARqDXesEAXJMwvJWPMFiZXB/280A6rRvmpIs/fXxfM/MqM7E/ru +9VCLB/sdFeDahXRzzTTePviHdyoWdx8lBO75kO/oet1yDvMR8B1jd5EJU1No+rKfEibwCyQ 6+n8z3fuPznMjMeFfwC9iugnmhk0NZ+bNIuaD587BCuW9Lpzyl+tV0eqeHsZm3l43svXNEjs lLrVwHefHDPxJpEcSOLVde8p36fvn1jOWf2GQsYjrb0Fmhnkm894mh3NhytsHp4OfuaOuwDy 5TJdaIgqYw8c388tJ7UjaSwj9B0phSXVrRAuc6uXLlvW34j7WaIUmY/E7AD6t3h1kveUyP8K tSNmBDU0M8g3H8lImiXOfOwlljznJraCK0+NzDeHnb0M87UbEFn+XZtjO0l1kxSZnXsfwj13 Znw+8/GVeUooaeX5aDmJ9zvEJfMIUWWwESQPoKWaGVw1n00bap/dvP40i5qPboxO5BTz2W4S bawPNwDegPRkPhfbeUZKm/maQCL7/nd2fQjve8xElnVivd3cCdZBXFs9YP8D5bq3qr52qHOX NTO4bj4C7z360yzBfERVeQQxKuSd0isMAaRJxQN9wCjD+5qRAcyJR5WRMKluFUhpM18Tiu9x pMtPaHE/cf3COpp622UHZwan9RsAkefW4CbaM1t6OBRrprluPuNolrzssjsmBfSs8mYjqWMH jCqEK6JPVD6XWW4NUupWA1WuGXeOpaWPk9guNEjs10euPUDJquPL99aNVol8NDiLVhrVgAdY yl3ziLSlhmaK4/tSGEszZT4yIMdgq8NTU2rYYcmzBZ8PaU67efFhNmq7p9tQsy6ijMAj21xu TEEV8GzzC5JWtyqoWH6/RvwOyRhJJIEZf/91Ph22uKn3mLpyHfT/T2Nrmd842DlrHLF8q6KZ 2xd9efUMzayZTx4UgPIOd+nLbHzvWobSKSp54vle54nUPB10B7JHV5tadRsGaJZFgfkIONgl BkQByTUR6foxgYcnMZH5uuKRKlcHnchnelx6zGJkoFkWZebDXJ2FUDByG/qCGQ+hknibep8n c24SuuTrwCMn143eJ5NaT+83hFaXOpjsGMG2815Mh6b2as0MfMu2gGYVzAc0RyT+I34bho1H d0q59+J0Uk7kWOcegMdoZqIGDq/5HDWD+TyE8sSpyNWOJUZk+12UzM6I2evM5wKP0MyAnqie acDAzOdt5E/F/wVafpRO3TeoLHe4pHMPMZ9HaSYMhqTi2apbVkAzmA/ok1CH4ER+wb7fUIgZ qhokwuZz1AzmA7pD7vVsG6Ru0tr7QqA9+gusAfMJaAbzAd2ymZD93IlI5NIlAqiHmNWYXzkJ mo9HM5gP6Bj5kbBtPuLcBPPpBf0R/vHQ23V+zWA+oGsoud0952VxJ/CgF/wzH79mMB/QL6FN Z9AtIfPxAfMB/aAeRtsPTxJv+0DubAj0gc98QprBfAAATYD5AACaAPMBADQB5gMAaALMBwDQ gHX9A1Ch50gTPX1VAAAAAElFTkSuQmCC</item> <item item-id="83">iVBORw0KGgoAAAANSUhEUgAAAIwAAAAxCAYAAAAIlEGVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMFSURBVHhe7ZphcoQgDIX3XB7I83ga L7OHoUBEIISFYLuD9n0z/NCugTwfQakvA4ACGAaogGGAChgGqIBhgAoYBqiAYYAKGAaogGGA ChjmCu/NLK+XWffj+B8Aw4yyr+ZlzeIaDAP6QIUBKmAY0GJfaRlKGwwDRLxZls2802MYBoj4 5WcxW3CLA0sSqPHeFltNVpN5A4YBVfxrNCrMYZjdrDZx/jB3tmTdznHXpbOO4lwTsBaD9/Vt gkbJGNSGCTGkxsxYwPOv6aShFoP3FckqjC+7hTneZluEi/2MS8+731Hy40lEQcUY0nPEV4nj 402Tc6lz0K6S20RadxhGouLA3yjRrRj+77L774Ko85H3UjhmLq2bhtm30kDudbJMzPKNJCx+ nM1Owiycz1zyxKQZz3WdTeuGYWwSYmKV0skGkG1y9WZ2xohlt7jW/+a+VUYyjD9X6Dqf1qVh QqehccMU62lCkUQl2U8cMU7xpLcTL2Tsp4dMUKlpgl1E1FnSdEKt1RWGkm0lob+hJ0wIOpaT EEv1DSh1DrrmOc2otfoZpieJMGt+Lwke63mGsWeLZ64ZtW4ahtjNFm5OZ5mkZMfLZE8S+bnP XF2SxGs6G6emM40x0WxCrTsMQ86PQVyAyuBYhyRAJeEaPUn4c8q4EyHpTDfd6pUlOp/Wh2HI RXxmxJYPxA2uWA6Ozuj3lOQpQhEj9McTTMdhY+xlTIePm2UlMeNrdUNnIafZtC7rZReusxh0 lPe2DsRwfc9kgr9mLq0HDWPxLr+SiKsA2htPs6JZXJ7GRFqPG8YzOttdAloBRvt6CnNofdEw 4L8Bw1zhePiMZVsu408ChhnF75HQWwUZhMwSj58JDHMFXmGKivM8YJgrwDCgBe2o5q00TNg0 tO1h7oFhFHizJFv6wTzcMOdOqfi5wL2BYXrxZmA3v7UkSdfcHBimE/pfDdvM6jJMcvwAYJhe pOUFhgF1wj5LUmVgGPCZuDnHW/hUko5tJap8LnB3YBigAoYBKmAYoAKGASpgGKDAmB8LxgL4 dHlneQAAAABJRU5ErkJggg==</item> <item item-id="84">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAYCAYAAABDX1s+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFwSURBVFhH7ZZRssIgDEVZFwtiPayG zbAYHpBECOQpY1qrU85MP6ykhcMNatKGsYUMbCEDW8jAFjKwhQzcWkj0Nhlj6uUC3LuvkOCy CJfAQ0gOpdxUSEzetlRUiiDrZyHBQYT6GNVo5cERPl4ALKDtqJLokzU2+X5BeI8JqTIeCy+T KEUwGcuqCZpoX7eKplYJaxcC2qYT0vqoEZJ3braJFIEkqqaIFz9FW0spFq9Xz1oSIsUow1PT Ucf3Dy0PXIy0pvYIJCF1TpOQcVIYa8k4HkJNFIxd2mhN7RFIm4/3hpaRBsnnxxzz9UVpagvq lhHeRz8c86H6GAVFxvl8jtBuZmn4/ZVCDoGlFM6P8n4mpMDsU0HtuXKvS9BHWwY35+Bzpm4M rpXePQlZZjxzxDPoHzS1J/O+kExJU//TKf9XkdHUnolKSF4KRjlfYt6hN3l7EK9qr0EpZI3o /Ve0wwonC4EUfEs7rPCRhPwSWwgjpT+zCf0k8Zr6kwAAAABJRU5ErkJggg==</item> <item item-id="85">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAYCAYAAABDX1s+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFQSURBVFhH7ZWNEYMgDEaZi4GYJ9Ow DMPQBEgLUVBaivbKu+OuPyrw+BKVXxQsIYIlRLCECJYQwRIi+HMhzoNWXmnAT5E/FmK9USiD xhLywoFuC7EmWcNhbPxN3jSfFG1l8FzH0hQSZDz/pEVoDy4uRkNFhwOvFV2Xvp+GN5nPOZ+G kFhTnIqI9WBMfcPWpDT1CyH5LDksqpy4SZ7i3dHxrLqQykmXqdmDRHYKCXPl8adnjC+HMxwI kYtKsW4af0MIJauQHOfpONhhHJSM2FiQ1OgfgX4h2xLpEzKnZJAw0fNhnA7APsI34OY3k80X MhLZEgohRGGfL2w2zxklkw5naJ+hdWd7TXvYCOnnDSGyX+32r2u4RghCScxfu+0+NY/PhKSm y7HbRj7FsigPhssAxxXNo8KAhBzjAG5RDmf4spCYgruUwxmmJOSXWEIKvH8AJrUp1yTTDfMA AAAASUVORK5CYII=</item> <item item-id="86">iVBORw0KGgoAAAANSUhEUgAAAEIAAAAYCAYAAABOQSt5AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFOSURBVFhH7ZXtEYMgDIaZi4GYh2lc hmFSCOEavpQ2olfLc8cPq7Hw8AYVLJAlglgiiCWCWCKIJYKoRWwGlFJsGNjo1pPJRZAEw1a+ mf+QkYlwVoPiFgLOglYarKPrh5KJwN0vRYSUaAv3eXBg9fxUdkRsYNIZ0ZWQJrj3TA9JrRxM flpfGH7Nx4notEZ4VtOPzZbaQVqbLaIcR+8q14Pnop8DXSJNER6cLN85fBmPakjQYHQltSfz ljooIlpjk63OjRj1oY2V1J5Eag38T0ki6jiPL0ZSGxC3RmtTmyL8y1L/IhjlfKJ3ipCC/8/O iHTdTES8+bZcTfLS1oj3z/t8si+iH9oY3OixM6KkPPCqA3AHSe1EvhPhCc/yT2DWTgdIamfB RMQIjk8qRbYnjyKYtUHiqPZ6skTMwFl7e+xHmCji04Tdy/RE/ApLBALwAilUK3sF9KgOAAAA AElFTkSuQmCC</item> <item item-id="87">iVBORw0KGgoAAAANSUhEUgAAAEMAAAAYCAYAAAChg0BHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFbSURBVFhH7ZXhEYMgDEaZi4GYh2lc hmFSExIvaLBoRdse784fSgvk+QUdDBaGDMWQoRgyFEOGYshQbGVMAZxz6gow8dA/kaJfagxc YCmDRcggMoU/FEJ1Sk0TBK65kEG2tAkkRfDOQ0x8//MkiL584STHx1IGpWAtg3/4nIu8+cvS ab1cflaRkaNDPbUn4nRqpMA38/egaBGB6+U7wkxGrWA+X9wJGbiO5z+ZrblDPsN2rndzfSRj hjZsvkGc5KAMkqs3g3Nc1AItWDJoT40ybJvICRk4VyHWONB6YiWdn92ejG1bHJPxcZsY60l9 WxnzhNLPBEfIXuN+GZdQpBNryOubyaANi+mqCOSONsnjl31aGV2jrN12ZlQ5IWN9gK7vH+R+ GTO4jv60Fm35IEpGjmPzxvgsqbdS7kX74JXoH5XflyIZPUgxfkULtNBRxsGkfQHdk/FLDBkL AC+t4ZTBTAyObAAAAABJRU5ErkJggg==</item> <item item-id="88">iVBORw0KGgoAAAANSUhEUgAAALMAAAAYCAYAAACxz8zeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKjSURBVHhe7ZgLkqwgDEVdlwtyPazG zbgYXhLB5i8fQYeXU0XVTEskuX0JzCySYSaBzcxMA5uZmQY2MzMNbGZmGtjMzDRcZt63RS6L MbZdPXGfbfL3hGllSt33zch7XO52Zz6EXGHxVRzqgx8obOhz5gFm0l0Z2diTalP2N7R/zaBk Vmnph2Kb2THP81ndDynWfCMeYrVOF4I2q1NbBwJ3ZkwedtIq4Cf9e/9ERmAe21pvEv+q9U2+ qnuZmUlj18y4UQdoHP4DUB17lBMkEj7mlPhojuJE82O1+e7GHSSyZ5Qzjzfrs8jSHajudDV5 YUyNmXe54TrJtZ7VOOqC88tfQbRwIfhcix08WhKUxFKyGSPNKay9zC7FBoaJmGJUfS53usME VXO5mevyqjWzQWTzPa1x3AWqS+gAC3pmFohmySy4JbaWhJjBjvBmfRQf0f0C31lo5oK8SBfa MJGRMF3QzAAZztS6g8aJloYT3G6m8O5AZ8vP2lgtsbV4xSPqmAot3LM+Zda4IRK6X+CcQjNX 14TzMk0GxMxM65vfQQeNq8zsHwn5iZTGBjtDYKQJfPnKVKEOOLI+nz5mrs8L57WbmdY3DNhD 4//EzK7IqvhNwL1ZCwz1qucj6/OZwMyQv9UkVOMw1+qhcdAFNFmZhIa7QocjIiu2ES00DZ0D HX/4mWGOl+q71f2i3Mz1eeG88s7s1uKt00Hj+5YWwr2DBu+kEVpiR/H5+irMPCSvn5lvackn EltnZgCTNv81kv7r26YldhTfrq/CzMAI3XGNLDMDT2tcbWZ4xdnao8fhefezjwPNXewX+Gh9 1IXUu2H4r39T9/P9+aZ8VuMGM+dxCAEpzctX65tJ99xaOpq5dJf+Nb5a30y6l9XSvTMzzCjY zMwkSPkPJsSq0OV+jC4AAAAASUVORK5CYII=</item> <item item-id="89">iVBORw0KGgoAAAANSUhEUgAAALMAAAAYCAYAAACxz8zeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJ1SURBVHhe7ZgBcq0gDEVdlwtyPazG zbgYSiJUQIKCiCnNmWGm//kKuddL4HfSgjAIEmZhGCTMwjBImIVhkDALwyBhFobhN8zrMulp 8say2ifxs0UfT4SnDOn7unh196s97Myb0rNZfFab/eAAjE19LjRgJN9tkL09aTfl+4E+XzOw mFkH/oHZfnVCe9j6vmk13w/ipubgdEFws0baXiBxZ4bizU6alfnJ/fv9QnrgH9vObzT/V+uX cPW9LMzocRxm2KgdPE7/B9Aee1iTKYQ85qp3nH1xEKwLkS58V+MKNPkUlL2OL/UFMPL9AH6n JsyrXuy7ya7VUAuZgv3lz2YhQggeizBZeSEwt3tRyWPJY1/jeuTZjQ2XWbVaTGCo+jvpi+Hi +0FtmD2owDbWQqfAdgmyOyAQksJCcF7fHJjjvllVEGbuwcl1qA/0MfAdfcGQESOzCZJhNtDX uXZaMi0NvhB3s5iKQmA3BqL24yK/zkNO4gF7TGUXfkGfDSu9LjffG3RmALtwap52WrqH+Xy8 5U1NdobEyJOo86UOWKrvDA/fD9qEuWVnprT8kzDHJlvxizL3Zmew0XIqomdoHDx8P4DvFYbZ 1B80Cds40mu105JMAX7ZhgQHqbi8EOqIuDb1Oc5oHK4GPP7gs5SOvvp4+l4RZjNprIVep52W 65aWpaKQ+P6avM9ygas+vr5T1wyadlr6h9kAgv0/q+TvrV/CVR9f37uE2ZDSUh9m3A25YwSK NM+C48BhjwV4XiS8I1z1sfZ9n//2Jmms5WFnvmZTypQ0Llz1jeT7XS0vhrlwl/45uOobyfcy La93ZkHohYRZGAStfwDOq+w0ososGgAAAABJRU5ErkJggg==</item> <item item-id="90">iVBORw0KGgoAAAANSUhEUgAAAXoAAACuCAYAAAA4eMYdAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABBgSURBVHhe7d2LkaM6EIXhiWsDcjxE 42QmGC+tBwjRAgmEB7f/r4qqOx4QD7UOMrN1+XkBAEz7yKD/+flxCwBgH0EPAMYR9ABgHEEP AMYR9ABgHEH/4X6Hf9P1eDzDhwCQIOg/2fMxXofHy+f78/Ug7AEoCPq/8Du8/p1O5N/X8C8L dgn+f8P4GwCYrdLy+fAhKksMEfd4oCpAfPjMs8xr7AX9uXO4mIT8z7/XcPZAtHZ6tQ3AlEVa uoCcwlBCW0LDh/e/G6XHVtC3n0O8OaXb1Wrc1gXxuG6P5yuLxzYRj28ArCVpqYXE8zU8Hodn ienMWl0OJlLcfq39HOQY4w3AzfobjqlpWxfM43H3+lZB0AOoNKdl4Wv/coZ8D8Wgbz0Ht34a lhKUlY+dWraNIX9gKX6T0oI+fGMg6AGksqDPgyo8mrhZcsQQXGk9BwnLxQ3Ar1t1uq3bTmFf uBm0cuea3dS0zwB8vSQtZUaqBcfx5/N/8+im/hzWj1vqg/7QtuFY+tw41/u7zR+cAdzKIi1d ME/J4YPk5zG8hnHx4TEGaZeQOqcc9G3n8PagFz1n3YtvFXKTqzt2AN9llZaLWXgMkemxw15A hWDt9XiiYCvoRfU5tD5+SZ3ZVsK+UyK7G044V0IegKacljcWg+00N7tObkr5z1vObAsAb/Td QT+S2X/6TyRb/h5xZlsAeJevD/oxosPjpnFRn334Z9/LxzTR3rYA8PcI+kq/w8BjGQAfiaDf 5WftPJYB8KkIegAwjqAHAOMIegAwjqAHAOMIegAwjqAHAOMIegAwjqAHAOMIegAwjqAHAOMI egAwjqAHAOMIegAwjqAHAOMIegAwjqD/eOEtV+obsACAoP9w4TWHshD0AAoI+r/wO7z+dXzH rLyYnKAHUGIy6J+PMMsdl5intwlDCfmff6+ebyYk6AFsMRf0LuSn0JPn1xKqO+99PRy+4fm4 HE9N0Lr9jOt2nM0Lgh7AFmNB759ZL3P0+Roej3KQPx+hvfagl5tKvHm4sN0K8LifCwKZoAew xVbQF2bmy1m+Rm4QjUHv9vUYt4ykjfTnxHQzaV+K30ISBD2ALQaDPg/b8Hhl83HJgaCX8F6E q99PcTdT2BduBicQ9AC22Ap6LbDDc/HtmXF70K8f1ewEveAZPYA/YCzoZeKcBmmczQ+vYVx8 EI6hvgraNwW9KDxeOmP/0RSAb2Yu6IULvrDOFICbf3R9w6OblIR91Yp75LiTc+18AwFgg8mg b3cg6PO/B+Q/A8BNEPTOgaAf5f+8suZfyADAuxH08Q+kYVk/UQmPR9Rn4OFvAPL7Lo9iAKA/ gr7S7zDwWAbARyLod/lZO49lAHwqgh4AjCPoAcA4gh4AjCPoAcA4gh4AjCPoAcA4gh4AjCPo AcA4gh4AjCPoAcA4gh4AjCPoAcA4gh4AjCPoAcA480Gfvj/22neD+BeUXP3+EfdS8k7ns3i3 riyr9+v6Jf4vmlvX7y+86EV9CQyAEtNBn77qz4XUZQExv2nq0qB3gRrfS9vpxhLesLVsZ+NF 563rdxPe9CULQQ80MRz075lhT9QA7EkJUwn+s6GnHLfcFIvn0bp+Z+4bDUEPNLEb9JcHb+bI /sI28Xz8EmfsGbdu9gJz7bNWi+OumJm3rt8ZQQ+0Mxn06XNsv8Qw9ME0fZ4GxhRg8RFBIXBL FgHoZ7nTfrQkbJ2NLx7bRB2+tUzHXRnaret3RtAD7b5oRu+Daf5DYQh9CY3FHxMbAz5aBf3W THvc96MxrC4O+nj+u39IbV2/M4IeaPc9Qa8FZbpOvn6rafua8I3fGrSlcKPZO/6jkjbit5DN 8G5dP7H4lqMtFSdC0APtvibo/eMcfUbsgupsaIbt47FttzPutzWsXPtXP6OvCO/W9Tsj6IF2 XzajzwM4mX3n67dKtvc3lZ1HN/9aA3r9TLxL6CnnvRneret3RtAD7b4n6ENQprP6RWh0DHrh w6/wGEaoz9x3yDZTyNU8IqpQOO9ieLeu35nbD0EPNLEZ9GH2Pi1TKsWwD0sWmvHz5vAM4ee3 9zN1P6uPnxUCPT/OrXWDtF39OMM5TueW/zyL4TwthesRfzc0rp/v75x8HycfWQFfxO6MHgDg EPQAYBxBDwDGEfQAYBxBDwDGEfQAYBxBDwDGEfQAYBxBDwDGEfQAYBxBDwDGEfQAYBxBDwDG EfQKbiQALCHoFQQ9AEsIegVBD8ASgl5B0AOwhKBXEPQALCHoFQT9RdyrEytfAdiyrnvNYPoK Rv/aweZXQi6U2sj39U3y1zmmy15f0Ud/iaBXXN3+t2p5gXj1uu6GkA7q+b3Ax0NkDjS1DfeO 4O99Z+3ipfpOvOaFa0If/TmCXnF1+7cng+T4CCzws6yHBPjui8Nr1y3M3MLL2k+dwl4b7vdW Zo0SvPXnsg76Ubhe6xszfXQHBL1ir/0425QlFpla/J/IDY7+MyG5Pi4EKh7J1K4r/aDO+N8R IiPX55U7uXfNdAh6F+jr/qCP7oGgV2y174ph6ngZIBJE/quoWtBunVBATQXjB86pgSBagjsM nNqBUS9eJ/lvPRBmtevK7wrnlQVAOoCrz21qI+m/fFu3zn5A3r9mZH/ngt59tuoPy300cm0X zq/oaB+dQ9Aryu1rnfR8DY9HscOlgGKh1M8u5sI9VRBuRiztVBRjXLcpWCpJ28mJ+EFdGHy1 67rjLbSxCpHWwTgKbUzXzu0vb6dm0H5Czci2jUHvrk26fFcf+X0l+67SaVwfQNAriu0X7uDL 2UDCrZ8WuhRU7YDyRXG+IGSfO8U4FW37UpztJOT6LM4j7E87t9p1fdjshUjNIC/Igkjve9/+ 5jW4ac24/Y/HXlw2GnHXXp3RL6+F2T6aSNs7Y2ul17huQ9Ariu2vBqEId2mt5ySkFoXS0snp ur5Y3XHlhTfuY7u9ymKcwr42VCqFwRiv6WLJD7xh3ZoQidvWXe9MaGPaNv/ZUUIk7juu6H6+ Wc2syHb1/a4F/XROybma7aNJ5dhaONpH5xD0inL7SseGotFmDK7QF4WSdvKe5brFr7a9gl7k A6ADuQbatfEzyuXgalnXBeJOiMhp+LBpHYyjpA31Z8cP1Obr/9c1syLbFa6lwh2jEky+n5J9 Gu2jWcPYmhzto3MIesVW+66Y58pynfbzGF7DuPj+Gjs//L7PoN3ZpmfQC1fgnYrPtbU90KeB 1LKus3FeYf14XdQbxZ6sjdXPYuuYE7ermRVZv/76aEHvwzo9T2Gzj2aNY8s52kfnEPSKvfZ9 UYYlFrybvchnScfLZ4sB0dK5odhcm8tCXew/X3oUowyOsxUYBp0/rmz/i9/ly866yfWU67Ca cSn7nULILem1lGuTfybi56GNp34u61Au++ua2Sbb1ayfXhdlUQ7SZB9N5Bi0z7cc7aNzCHpF t/ZdQSedmf+8aR7grgBLxToW4nYdHynGT9Hn3H6Hx4E2ZN8XDNR31MxbGeyjyZFz+5s+IugV PdtPZzQyu1jNbormgvAFVZjVfXXQj1wQnjk/uc6tYbDRHx1cXjPvZrCPvCNj62/6iKBX9G3f d6xrU+1R39nLr+vjp3K3d8chhZS0ka23GfRugMV2bjLoLyHX8MjMTa5r60A9uq8WF9fMnzDW R7tj6159RNArrm5f8zsM1xYmzKFm7u8ufUTQK94b9P6uXv/1HKBm7u9efUTQK94b9ABwLYJe QdADsISgVxD0ACwh6BUEPQBLCHoFQQ/AEoJeQdADsISgVxD0ACwh6BUEPQBLCHoFQQ/AEoJe QdADsISgVxD0ACwh6BUEPQBLCHoFQQ/AEoJeQdADsISgVxD0ACwh6BUE/Vnh7TqlZfdVV/kb gnx7596QVWoj39c32emn4luP6J9PQ9Arrm7/W/g3+y8H6fy2/8LgdW/dT383v27teJDMgaa2 cfqdpp/N9ckq1OW6K31E/3wkgl5xdfu3JwPr+KidaEHvuLAYr/EqXAqzt/B+zlOHtNeG+72y 749UCOkCPeg19M+nIugVe+3PL/idC7N+sNycG1B9Zk/FoB/5a7jcj3ymvnrtHUEycsdbuZN7 18D5oH8O6/Ogfz4XQa/Yat8V0FQsMqDmt7kX3w95KDz919lTg0e07DsMttrBtMcNrELQ+9+l 5yfnWzjOLATSQVx9rFMb86OG1bZunf2AbK+BZJ9NQXO0BmR/Z4J+3O/qOC33z8i1XTlOJp3G 6BsQ9Ipy+1rHPl/D41EukviYoqmI5mI/VUQt+y4+TjluK+jj/qaB534urLsKktYBOQptTNfC 7S9vp2bgtteABE88T3dNqjr1TA3Ito1B765NsuR1YLh//L6SfVfpNEbfhKBXFNsv3PWXMwiN FF9LEQlfSOeLqGLfU6G3L8UZ0mgr6GO4xPPbvClMQVIz0AuyMPI/59fFt791Tvp2GzXg1k/P S/ZRG8L1NbCYRWvLRiPu2i+OfTzG7FzM9s9E2t4ZJyu9xuj1CHpFsf3VoBXhzr7Z22eLyBe4 O668WMeQ3i60yn1PYV8bQvu2wsEH03xcNUES++XQwFKDJG9LCZK477hiaw3IdV30WUs4VNbA imxX34/roB/3lj2jN9s/k8pxsnC0f96PoFeU21eKIRTa5izjdBGNLZS+DvcKepEPmpOK4RBv Kul+3GfbQSKr+zZbr+UoaUP92fGDdfv022rAHe+iwWW/bqusgRXZ7lzQe8/XEHdotH9mDeNk crR/3o+gV2y172aiczW6jv55DK9hXHwfjwWzqsQzRbQsppWeQS/coOhTsFrQ+8/k+uahsXGc 2aD33wbqg8ypCRL32X67LTXQJ+hbthGyfv310YM+36fN/pk1jhPnaP+8H0Gv2GvfF3JY4gCJ s1S1WI4XkW9zWdyL/edLjwKWAXWqamWfyrGFpTSzkvNa/S4MeL+tP4/5ZiFLem3ifvMwSI9n bOO5blOsQ7msugbks0WItoRCuQa2yXY162/3k1Z35vpnIsegfb7laP+8H0Gv6N/+8SKSunZF Wyrw3jP6P9XnWH+Hx4E2ZN8XDNZ8Flo5K/Uqa+BtDPbP5Mi53a1/ygh6xd2C3m9fmAWaCvqR C8IzxyvXrTUQNq5vB+lMWGal28+KU5U18E4G+8c7Mk5u2D8FBL2ia/uLr7ZaIfgCyZ+Rzl89 pfh8Qbmfs/U2g35333cl1+TI7E2uU+tgPbqvFkn/qZ1wsgbezlj/XD1Gb4CgV1zdvuZ3GK4t ZtweNXBvn9w/BL3ivUHvZwL1X+dhDzVwb5/fPwS94r1BDwDXIugBwDiCHgCMI+gBwDiCHgCM I+gBwDiCHgCMI+gBwDiCHgCMI+gBwDiCHgCMI+gBwDiCHgCMI+gBwDiCHgCMI+gBwDiCHgCM I+gBwDiTQT+/tHd+0a+8ff+OL+0FgKuZC3oX8lOgx7fO805OAN/LWNA/X49kFu89X8Pj8fr3 I4EfPgKAL2Ir6H8HNdCXs3wA+C4Gg/4xzuFT/rHNz3KaDwBfw1bQu0c32YzehT/P5wF8L2NB Hx7TTLP3OJsfXsO4+KgfbwbM7gF8EXNBL9J/Xjk9m38+wmf8URbAdzEZ9ACAGUEPAMYR9ABg HEEPAMaRlgBg2uv1HwGhJhh2+HzhAAAAAElFTkSuQmCC</item> <item item-id="91">iVBORw0KGgoAAAANSUhEUgAAAcQAAACuCAYAAACoR32XAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABI+SURBVHhe7d0LkrMst4bhHpcDcjyO JpPJYGyOBpaA4CHxcF+7rL/yNkFxgU+0+9v5GwEAwHi5QPz7+zMbAAB7IhABAFAIRAAAFAIR AACFQAQAQJkny6ufQsdu/fhyPzqDxUA8+fEDAM4pThYXJn2QIK/+XKHigy7pAscPADinKFne Qzf+hWmivYex++vG4e1e/1gpEE9//PpY5PEBAE4hShZzNyUv2PquqxvG5Tx5j0N3/N1YKRC3 Hf/BTvbBAgAQywTia+xd8JwiTAJ1gVhz/D7AS21yGt9rwlC13enu0NwJ+/Ht2C8APNnyHeLK OxvTV3jRltvKi7h/f0rL8eu2nfvH5KPWgqb3+j/y2euDhRyP6Z87TwDYajkQFXPRP8mdYnMg KrPjN6ESPtrVd5SVj3pb3uvDcMXmA7fEjNe0JxABYKuqQLQX9mN/N1jLB0ZK9fHr11HA20eg pRu9Set7p1Dc7/z5R6Zmn6Z/AhEAtjrsDvFz95LZqtJnzr8/pfb4zeuoXX0grnqvuatcP+ZI KtwJRADYbB6I6sIdPa5zF/M9ruV7WAzEiuP/eiBq5ji2B5fZf9CPfA0AWCd5h2gvsjZc9FYT FD4YzvCfXSwef+tjz9CW9+pQrDuZBcFf0Kqt63t795kaJwCgWjIQz8wHQUr18Zu7tSC45euS Le8FAJzWMwNR0W3D/3Si5q86vS3vBQCcU5As9tHf2S/u+UBsPX7/iDcXou7RZPKPiZbeCwC4 mvSt1onlA/EY72HgcSgAPACBmHWNO2YAwD4IRAAAFAIRAACFQAQAQCEQAQBQCEQAABQCEQAA hUAEAEAhEAEAUAhEAAAUAhEAAIVABABAIRABAFAIRAAAFAIRAACFQAQAQLlfIL76qY3d+lt+ we976KYx8qX9ALDdvQLRhWEYEK/+hqFoxunH9Bp7QhEANrtVIJq7JpkM72Hs/rrxFF98r49l c3LZb/KPutEB2Q3qJwCAtW4ViOZuUAbOWcJir2BO9XOm0AeAi7ppINrHiKZtKQxXB4m9S1vs 3zP78ce2UfS41OOxKQBsdf87xFzoud83/q0IRL2fzr0p+Zg25Pez110qgQgAh7h/IComtJKB pIOkMRBNwIaBpPvI/NHOFLrtmw/cmVQgujtQAhEA1ntEIKbvqrQVgaj7isI18UcuoSkUM6HZ KnXHm7sLBgBU4w6xMUjmj0gXAlFzd3DFR6vV5vvLjw8AUOt+gah+Fj1uLD5O/FIganvexUV3 qXoMFfsHABTd8g7RhJZrp7d8WHzhkWlIh+JOyRWOkTAEgO1uGYj1VgSiudMLfh8oXwMALolA XPEYU+8n/M8usn8RCgC4jBsFon10WR1O7neLvr95jtrfzaX/WMXuy7yX55UAcAu3ukM8wnsY eBwKAA9AIGY13nECAC6NQAQAQCEQAQBQCEQAABQCEQAAhUAEAEAhEAEAUAhEAAAUAhEAAIVA BABAIRABAFAIRAAAFAIRAACFQAQAQCEQAQBQbh2I5hv0Xftjv8fXfpnw0d8VrL+df6/xhOfG bP6LkF999O/+669a2+/PfSlz8gubAWC72waivoBHF/PDLqSfb88/NBBN8PTuy4p3CuD3MHaz fux4kn23tt+NHa+pPYEI4CA3DcTv3LFNkkGxp0To6IDcGg6J49YfHrLjaG2/M3OHTCACOMg9 A/HwgBLW7M+9x4/Hbv4OUDBtuzF6Gpn6t1bRcVfc6bW23xmBCOBItwvE8PdsdvOhYS/g07+H F9bpQu8fzWWCKScKCnvXNO0nlRitd3fR41Jvh7vg6bgrw621/c4IRABHesgdor2Af/7gw4Wj vrhGfxTSGITeLBBLd25q333jRf3gQPTjX/yDmNb2OyMQARzpGYGYCpSwjWzfanp/TUj5u9DU lgnkpeNfK+jD39UWQ661fSC6a05tFQMhEAEc6RGBaB+jpu+wzAV9a7i49/tjK/ej9tt6UTf9 H/07xIqQa22/MwIRwJEedIcogyq4m5PtWwXvt+G78Mi0aw2y+e/sdgmHxLiLIdfafmcEIoAj PSMQXaCEd4nRxXXHQNRsSGQef2rJ3wku0O+ZwqDm0WyFzLizIdfafmdmPwQigIPcLxDd3eC0 TVdvH4puE+Hi/705ZFxI2PfbOz97l+j/LRN88jhLbZ2w3/RxujFOY5OvP3yITVvmfPifDY3t 5f62kfvY+KgYABLueYcIAEAjAhEAAIVABABAIRABAFAIRAAAFAIRAACFQAQAQCEQAQBQCEQA ABQCEQAAhUAEAEAhEAEAUAhEAAAUAlEgcAHgmQhEgUAEgGciEAUCEQCeiUAUCEQAeCYCUSAQ AeCZCERhsf9XP7WxWz++3I+QYc5ZNw5v97qkpa068310/vXrv7HfVJBcH3JflS4/X+z5iMfg t6U6UZ+vk+PphvGt/m/o9f8KLW2NC9RzIwJRKPbvJlBYvFev2198ER3MnqO/satIueq2phbh eVcLubPvXb9A7eLM9vEexq46rJUbzZf30LkLpufPd+Z8UJ+vs8cuxm/OyXxMLW2NK9RzBwSi UOrfXBRk5X5QtMPosayf3Rn2k16vF2B0QU2pbWvbzY7ULehNQ1jqw/y87oJ57vmiL2h149Dm gai4czX/8EJ9tltRn+x5ievR0ta6Rj33QCAKpf7NpypZOf3JafFCfwEHXQj04jMXTPMJs9x/ bVtdh+Qd5DcWqJK8kCace77sEIjmQjmvBfXZQ0t9bB1Kx/0eBtdXS1vrKvXcA4Eo1AWim1R6 y06szyOFtgVm+95cfzPRKgPOTcr9J50+B/4Y0hfPj9q2+meZcYnFZeqlx9UytqmPoH7yvabN 8sXq3PNF729bIJp/m9XirvVRTL+ZsWV9oT7unOTXVqClrXGdeu6BQBRK/X8WUMAUaz5hdFs/ 6eo/4XwmRe18SjJ3WLqfisXr2zZdhCvpvoOB2AWTmdi1bc3xZvqYLdDWi5fi+pjOndmf7Kfu Infu+dJwwVVs+Nl9fbbn1MfuJ9hvlS/Vxx1bVci1tNUuVM89EIhCqf/kAlJmn55NkcNJpAta ObndItpe/MInO29a5O1bzYLS5ysah9tfamy1be2FeWmBblhAYpHb1+kFunQOzjZfzPGo485u hU5mx6z4kAzPwy3rM9H9LqypmS/Ux62VqpBraatcqZ57IBCFUv+5BWQnWTBp9OtoQbWEXNjW TgRzTHKBqn2U+6tcvG6BZCf9Wm6i+/MZbfLAG9rWLFD/3rrzLSQXqOwrsUD9voOGp5ovM/p9 9TVPh4TddziWW9ZnUrmmIt+oj+s3NZaZlrb6tJ20ngchEIVS/7WfKM3rqF24KJbEbbOPIfYK RC1xsdhKn4PUBLafguMF1tJWj3tpgeph2IXcevFSGhbo0uk61XyZabngzo/ZszUK9nnD+nw0 rKnJd+ozq4Ogx/Q5hvq2V6rnHghEYTEQ1c9SnzzDYpnJEVVvzQVu4T17BqJmxrFiQqeYvsqL aDqHLW2Nwrhce39ebL3qLyqG6GP2Wisdc+BU82VGt68/N+YYRUjYi6AaY7TT+9XnY0sgHlsf vx89HrkPPc54DbW0vU4990AgCqX+TcFVpaYLgdvkpFINxcWjZTF8JqucXH4BJ7f5QbQvXj3x 6g4yz01oe1xi/9HP5LbQNjif80WrJPYb1yk8l/rcyH/T/L+7Pl7pscwDLO3X86VMv6+mfXhO ElviIG9Xn4ne/2c/dY6uT0yOpTSe2rZXqeceCESh1L9fQIvMZAmKL18XfS6Gxf3tfYd4KfuM 7T30K/rQ+66r5anmy1fdrD6TNeM6Y31aXaOeeyAQhV0CUdFt/acq/Qln9gkr67OA7GRIf2pT O3hwIComNLaMb80n8EI9Ek41X77tZvWx1qypk9an1QXquQcCUcj3byd264XK9JesqC22/L2M WaTmGPTkC/oQ7YqBaCav7+eiC7CKPodrPj3q89q6uFv3dbL58hM3qs/imrpifVqduZ77IBCF o/uX5P+bJKCE+XJu1OfaCEThe4HY+AkVD8d8OTfqcwcEovC9QAQAnAmBKBCIAPBMBKJAIALA MxGIAoEIAM9EIAoEIgA8E4EoEIgA8EwEokAgAsAzEYgCgQgAz0QgCgQiADwTgSgQiADwTASi QCACwDMRiAKBCADPRCAKBCIAPBOBKBCIAPBMBKJAIALAMxGIwmL/r35qY7fvf6vzeblvDc9t i1/dL78l2/a37Rv/c32s/Ebuy9d/oUbZb3KnNt/2HrpoPOY8qTGmznlLW+sC9fwBAlEo9u8W XFjwV6/bX3vh7c0uzvicfBZs5lyZcxv+zH7hqjzfbewCzfbxHsburxurv9P1RvU39ZiFnz7n ibFQmy/z5zc+djseeb5a2jpXqOePEIhCqX9zEZHVvkihq+ixrF8Rk1QgGu6iNb8QZz5BmnO7 ZZEqS32Ynyf2nXDu+mfCLCMdiCnUZrsVtckdt1pD4bfyt7S1rlHPXyEQhVL/5lOXrLa+yFdd WE5ux4uHXaTpiW8/ucb70f82X7jKNxapkryYJpy7/tsD8TXMx0Ft9tBSG3enVXViW9paV6nn rxCIQl0guomot9KCMxOkNWRs35vnTMu+3UTea6KWAtH+LByfHm/mOMUCM+dfH2fLsU59fB4L zd5r2ixfsNrqH+yv6aK8tv5bA1Htd3acd62NYvr91tpsqI0O8dp9tLQ1rlPPXyEQhVL/n0UX yC0sN1mzjzOSPhOpfpIntOzbt226aJeVAtHvb/qUal5n2s4WaesFTHF9TOfC7E/2U3eha6m/ buvHWP+peEv9Gy66iv9gEm1yDty0NnY/wX6rfKc28w+MznSu3KYatLQ1LlTPXyEQhVL/yUWn mImZDJTCJ7Isu/C2T5iKfU8XhvYt+djFsQs1vfDkIi619Qusf21YRGKh29fpRVoak1Zdf7OP cEy6/7oLonpzdf3N8ajjzm6FTuZzVh2jmMO3rM1E93vc2lxdG7cm0+N1oezf29JWuVI9f4VA FEr95xadnZipibZ10dnJY45JLmq1z/Kkrdz3FIq1F+xlpYVnLxSf46pZpL4m+y1S2Vdikfp9 Bw2r669fR/Wqv5DGbQv1n9Hvq69hKijk7xBvWZtJ5fqIfKE2fmzJPu3+p3G2tFVOW88TIRCF Uv+5RZe6uFhbF53eZ+b9ewWi5hdDucNq2YXnwzfcT/aCpQQLyvbZei6VhkW6NPza+pvXUbu4 pmWV9Z/R76u86CqlOTv4Hd6wNh8Hrs2ZttqYsSTHbPcfjrOl7ZXq+SsEolDq30++1KfVdIG3 LLp48c3sGYiaGceKRZBgF1S88Oy/6fMnF2ThOMW5tee//sJi1CxS82/L/dbW34w13kG5lpHK +s/o9vXnJh0Ucp/3q83HgWtzpq029tjseOJ92P3Gc6u17TXq+SsEolDq30wSVd3Pxd1uUcEj 6xed7TueOH7RJ7fZQazYt56s+cFU+CzO1JZ7TKLHNfuZW0z2vXYc8XkPz43fr1xo4fGoPl7z PrV5gKVV119/Eo/CpuUCmq9/mX5fTftyjVJz7la1mej9f/ZT5+jaxORYzJa8261ve5V6/gqB KJT694uu3vpFp3dT3N/ed4g/tc+xvod+RR9633UXq+r6y0/B8nVRZf2/5ma1mawZ19lqs8Y1 6vkrBKJwpkC07898yr1VIComNLYc75pP4YXzm9BSf93WfxLXn4pzd8dzlfX/ppvVxlqzPk5Y mzUuUM9fIRCFfP92MVRf2Myks33pbT4R7ASRjzXMwjbv0RPW7tO8lo8/SoG4uO+z0udkzSdI fZ5aF3jrvhrr79qbGiQLsLH+X3ej2hy9Ni/hzPX8HQJROLp/6T0Ml5goOAb1Py9q8zwEovC9 QGz8VIubof7nRW2eikAUvheIAIAzIRABAFAIRAAAFAIRAACFQAQAQCEQAQBQCEQAABQCEQAA hUAEAEAhEAEAUAhEAAAUAhEAAIVABABAIRABAFAIRAAAlPsF4quf2tjtGt/UDAD4rXsFogvD PkjAV08oAgCW3SoQ30M3/oVpqL2HsfvrRr78GgBQcqtANHeDMhD1XWM3jOQhAKDkpoH4GnvX jjAEANS4/x0ij0wBABXuH4iK+d0id4oAgIJHBKL5PSJ/aQoAKOAOEQAA5X6BqH7Whb8wNL9D jP/bRAAApFveIZo7QtdOb4QhAGDJLQMRAIBWBCIAAMqNAvE9Dp34/SEAAJVudYcIAMBaJAsA AOM4/gOdQxl1GKbHagAAAABJRU5ErkJggg==</item> <item item-id="92">iVBORw0KGgoAAAANSUhEUgAAAHkAAAAYCAYAAADeUlK2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJ+SURBVGhD7ZjRkcQgCIZTlwWlnlST ZlKMp4hZQFTMnXMzG/8ZHzYiIh+SzG5+6eu1IL9AC/ILtCC/QAvyC7Qgv0Al5HP327aRsfsT p96m63B3HvaBJHzW8dy1/Z1+x7nafuf+mXfHhU/74pARMN0gOX4haMhFPncC0AedQSn5avqL vz9rUjFwH8DhXpDWW0EzyOBcnuQ6vNucHyicL9DlDyegRkjuCDM1IWC1Ejr+rkv4jb5IzoGB KBxWNG0xyLxaUN3DfaG0wu4Ue7PjjfqLc5SDBhTWW7pLFTJWZRxVwKk62zZSxO+9Tvqx2EyW ektSXHpS05w7DhI7WT/iL8KTZ4T1WpH8CjJRpeKibX4nqG2+IbnPuev+ezY1wdo72croxToK GexDPgKcNJ2LEn0Y/dEPM26fbFmBa+Ar6kMOgs3pBgBeBiEPURfbJwSrJc5iM00alNbN0ezh GdoP+suw2YcV2n+KIA5bzk2QiyDjb9ZSlA+Lhu59YuCVRRabaYKEau2xcnM0iOHXfVNH/WE+ 61/PvXmuRze5bM8PIDtXvnuILDY1wdqi6snoBlqep+hmTEorZxBH/aUz1MLsrZUqIYdgtTZR BMhP9AxyI+EWm6li3UqBKAQ5IbcZ4qcLRvzFnKsQU56tbTpLvckp4OgsjSKYv2zXwb/Wdiw2 s0XzwM+GyRYgIGa01wqz6g/aPVkrAWMO4tyTPNjeyVKwKakm+bsjtg8eUG5rsVmy6RnkoGib qypW6EiFyX1ShfOPEIvNkk0EcmpBdlj5/VArjPTe4a0Hn+WBcwCUPqdDtVmwR8Ru8gxdR/6D YOm/NBHyaGdYmqXpN3np/7Ugf728/wE/T+ncb9P/4wAAAABJRU5ErkJggg==</item> <item item-id="93">iVBORw0KGgoAAAANSUhEUgAAAIIAAAAYCAYAAAA2/iXYAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJmSURBVGhD7ZhhkoUgCMc7lwfqPJ6m y3QYN4FeoJi41fR2lt+MH14iKvyhdqfkOBsuBAdwITiAC8EBXAgO4EJwgFoIy5ymaWJjTgtN OTVrDJ9YzQOBOtbJ+J77W9JMc639lvmYD3Glp32kEEgEfAN07GJQgXjtscEk9cWwJ1OJ6am/ /PtYg4KRPiBXnwW43ioGIQRwXt5kjSlMIQ2I65+wphiKxOdEhrjNtCARqGrp+FvXwm/2xfIC eSrEJYR1jhCCVBTRvdw/RSuQTtGcdtdRf3mO50pLOqy3dKmmEEi5eZyJoHPxGub34xsr4fht sfkC1GrDs+uBx7kQI7sfWz/iL8e9jAOs14R0SQiMVrJh43yZESEg5T7LXPuw2LTAyjsZlsj0 GBUCxSsnEKd3cZMPoz/+MSnt0VYUiiaOBn0hbMDmaiXmzS8KYTusFjiLzVOYhKQl7qwCNXt4 RvaD/nZBiI9BshdnrcSlYxKCekjgohDywdWo2WxeBYJe3F17tqPGkFX8qD/qKO2/Cnrzkvc6 Qgj1e45hsWkBa6vKYOMWYWGguat2nDIs6Tsi0aP+8J6tq/TWltRC2A6rtRt9w4tCOEmKxeZ1 cpV/gq0kugDb+dEV4I58wYi/nBc10cW3hxG1I+CBszMc7ctdEEJ2SiLT2pfF5hvgsZJxooQU yYJ7kb0m8KY/eLWwtaUIKE557jexsn0jNLkoBPxRX3rDYuPcx/tC2MAqkH4sNs59MCGMfWXy VqRXK77jZAujZ/ugOUg6f86HauOCuBvREZ5gjfs/UJxv5kEhDHYY51Ue7wjO38CF4Gyk9AOx UkPX0ZtoSAAAAABJRU5ErkJggg==</item> <item item-id="94">iVBORw0KGgoAAAANSUhEUgAAAFYAAAAYCAYAAABgBArrAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGXSURBVGhD7ZaNzYQgDECdi4GYh2lY hmH4SgFTKnpVfj5zx0tITq+iPNrq5hdDWGIHscQOYokdxBI7iCV2EEvsR5w3avObMvBLzhJ7 ifV6A6lhLLH9cUa1i7U67RAMbeO5JxN/E81iUeo+QegtyhsXe4wytWlT/7lVKqS89uv4PJKY eTSKjYvJWRqx3mjt1RYEp1OEsBFZON68vPgS3EQSb/XxHpKYM2jlVceNZ20T60xVYJnFBIzX oD4TNoYeX1NIs5ptaEQSM4MOYrmYVH71VbObxVjp4ndp4b4nF0liZtChFbCMRdn1/nos/Qdi oYeriweWxJyB1/Lyp+PGRjWKJRmC5Gw10GfzpCA//d9N7MUiJTEziM/RIDZQ7HSeLJQ9niMZ 3bMVwNy1qpDEjIV9nZy8xGscxIrBxZKezI8/sEuLB/jgfFMkMW/luVggLJx+bt3JqEIagK2F ZYQk5q00iYWlxj4cyqSaSqmUipbByiv9hxLpeTqqMe8W3ChWhjNG3CK+hcFiY0bPf+n8P1My 9hdZYofg/R/YpVJYjFLxVAAAAABJRU5ErkJggg==</item> <item item-id="95">iVBORw0KGgoAAAANSUhEUgAAAKsAAAAeCAYAAABT7+7fAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANCSURBVHhe7ZiLsYQgDACty4Ksh2ps xmI4EoLyCRD11HMuO+PM88kJJEtQB6soL0FlVV6Dyqq8BpVVeQ0qq3Idi7HjMFqz0PnKYs04 2GFwx2jcmQyVVbmGefIyMrLO02BH+udiRjtMM/7dQ2VVLmS2Uy4rVtvJXQlAm/i8jsqqXAgj K1TcZOv3jwSS4qqyKhdSylpu+yqr8hOorMoDwEuRf2Fijqpp+higvAZG1vwFq3jhqqOyNoFg bxVEsvoDuN3h7/JE0DdG9vvi8f7ktPqPx/2N/hlZHfmnq/B3D5W1CiR1Ey0ksZ/AIBxXLSIZ C1ngWt6frOLIafXvwG+joU/f9rCwWDGpr+I+tGDg2o4OVNYas8kqAgW4GVySoZMAFDGXZVkY ecuq9A3Y/ml+ydCL58tnKWSNH6TDwPnJ/R8Ym4aIPnb9aiiKJ1Smal9pFV6B3wjyxC8WqITc 8+U1C+YIiawY7HUSsNJgoH7FVZ8rdk8o2orgwP6ibQHPJW3uhqk8CX7MozHR2Hlxu7KKpMuE FYoKsP0njwABP6fG+ryVSFZuYLM101SXEScISdm/+vIqNU/lPSRtavgq1zj2ZqAnA8UC2vg7 h8VVCtuSFa+t4+Rl3yBhd4gKvF/WSoVMqy0HTOikrC5QXEAkbe6iu1C4ZJPA+bi7ldURpO2/ Kbv47xAVEMuKTvysrPnKourQHO1JWaHfyv0lbe4Aktvtnks2xuaYrCH2bVnh/q5PiM8OYdn+ Mf9ZHrn/PUj2GMANVhKwg7K6Z+JWkCVtauBv3dirh1R+J2EyfxcTw/6UEbOSbJmsfg71YZKo dIZ9CePE918+k0vHeRflC9Y62lBVXXLc4QfsAlRE76SsDXEkbS6FtvH0yKvnBiY3up7Gc8PP qyNBU75M1IBQ2Gr/MN/1/8zie5hEVgAnEhITBr4mjZPyhKwQCaw+fPWWtLkKLx7FIT7W7NFi zpKexK/ItBdgu18Ut3xhCKTbT6N/Ip73L4kKFLLu56Ss/oQNjqSN8j/8hqwOv6LT+0jaKP/D OVlpe65vG7TtJFtathXRtWT7zA+2jUr7b3yhsvZZTPhQrijHuVhWybdCRZFxS2VVlG+gsiov wdoPxZIO3cGBXL8AAAAASUVORK5CYII=</item> <item item-id="96">iVBORw0KGgoAAAANSUhEUgAAAEgAAAAYCAYAAABZY7uwAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHBSURBVFhH7ZaJjcQgDEWpi4Koh2rS TIrxYgOBYBMg125WfCkajSDm83zMKJg61ATU0ATU0ATU0ATU0ATU0HcALQaUUtljYAlLT+ob gAIckxFZzDuQPgFotRpUTge1WtBKg13D94fEAPnM+Cd6IoPawsNeqiJPJSCsqhc87QCRke3Q FazGDOGnAs1StYApyr6ukb1cCZCPQwmswvF+j/dIkj1mgKQNC1hjLpZyMnwdUKZKi+HemEyx NUXVPSZABwdeL2Vv4FZATqz16Q754Mak9w5y2WMBqAwWyIo3w8N7Kys/vKdN9qoBcgsuTuaZ zaWRxFQ80hpJuDBBk+ZPAHcKEN6j9z2v3griLXUWUPLIh/QWLUAw1s2haMJB3NbPVNCI4STy VSYqJC+PdQ+g/Ts7QKhoZtcC27/YHAgGGgPkY9RmQixrvh4TRwCiN/ewi9/QYqVHBqhf44DQ aK1dolZrWMzWO5vKOSrO1Zpkj68DcsdTpcj3xX31CuoR7s1/5vn8rEn2eBoQmS7KMQYuf53S XgTqjdB31g4ScL9/9KIUX4Q66DGs36rVWlYFf029Hm8GNJrt39CYx0cq6D9pAjoUwA8V/g20 FcReKAAAAABJRU5ErkJggg==</item> <item item-id="97">iVBORw0KGgoAAAANSUhEUgAAACIAAAAYCAYAAACfpi8JAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADvSURBVEhL7ZThDYQgDIWZi4GYp9Ow DMP0hIJXEDiB9OSHLzHRIPTr61OFm+gFKfWClNoYxBpUSrHLoI1LkspBIoRhla35D0wG4kCj 4hReDlArjeDis5AykNB9CeJd0oDCHC0QiyZlpAcx5RadXfb725FWsTPUIyAOQVOD4yCHQnaq zvjuRh0hmCkQ6r725ayCsAiEtagnHLGG9l9BDjrNTw4ZuVpJWgHJgaqOBAeSZU0Ir3kQOvs7 7nsZaWptNLzeoyC0n+4ZCL2Q5aOnmJ32+KhIGfKUQ/r/sDHFdTE5gDMHPQmCjDks7shdbQKC +AE+WsWz/WGJrQAAAABJRU5ErkJggg==</item> <item item-id="98">iVBORw0KGgoAAAANSUhEUgAAAHAAAAAYCAYAAAAiR3l8AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJWSURBVGhD7ZcBroMgDIY9FwfyPJzG y3gYHqUFS2kRZ0yeG39CsgkU+L8WtyVMvVoT4Ms1Ab5cE+DLNQG+XBPgy9UC3NawLAtra9io 69e0e1d8WE9N2MLKfNPGb+vR7/xOT1sd60rv9+BdfO58/ISqARI8vjgu+oMQkxf53AjHhgj9 h0cIoPYs+VgCYLwWYk4CzW+WIBbAtLDc5e6DW1zoJMwXCjO9sgKAMuMq7bt4DmYzz5KHAkqV ICACZGdJUmJkAayzhNTb+LdKS9oriQxjuY8NrKgU70iS0ZtuEKBero2uHCqJxS2x6V4v30fG 2CrzTlpXmuG0r5MCQU/kHlM8LSFyPIztvGdn12Fer0ALUtoULHQFIEqus61tjJExmjikXuvq Q4D47str8PmUlBwsh0peAnickxO2hXgdYJScdAg2dhNg3LxmysiYx6QBFFdeTxlk9SOF5h+A odEa2noEVa73EUB1gaSbAOFQhiMjYx6Tdutoz0xhBdl/FUS/6q9e8f+nAp1r3xVMI2M01Rlu t77QYG6F7YEu2L+Vd20sBZaRMOcAYyCt9PXN3AQIZhqnHBmjSYKy2qmgKopRejWYAs9U2Cfv NvY8nV9ZEH3pAYyTMBgeFJq98RsAISglh3bVjIx5WtyH2gMCkY2k91VpEh6dAfp650hnzjEa 0zGJSj/5PnSF2roJEL+kDcllR8ZM/QeAUZjpdZyRMVMVwLNfTkLsWtCrg0q+uk7ENUB9CRZ/ zps6ZoLMGnib39Pu85/TqSf0IMCLFT31kR6vwKlnNQG+WiH8AVX8d5lzSZO9AAAAAElFTkSu QmCC</item> <item item-id="99">iVBORw0KGgoAAAANSUhEUgAAAIoAAAAYCAYAAAAlKWUsAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKISURBVGhD7ZgNcoQgDEY9FwfyPJ7G y3gYakLEAInGtWztbt4MM60iPx8PtB2i4xhwURwTLopjwkVxTLgojgkXxTHRijKPcRgGVsY4 061vY5lCzmE8DWGOI8tNqj+P+/0wLXS1Ze+3zn6JU1ivh2n9qSdtP6UoJAmfZJrcF8qCWWzz ThLossD9PaO00GVmmGNuILXXyrLJJuXNROwqitxPIQpOsE5jmWIYQjzYAB9I2lFFFCCOtkDL Ul2HsFlmmGG1+IWIAC2QbiOCa9T9RGn7KUQprSeOAvpUpM1xZcNAXZ5jI8UKtrfLaD25HyaK 8Zi7Eh7C2s1t0/sw/26po5OfOymHSAtL4zrZ8CmTeozYniTe1l5qO0wTm7sszXNPFE0GnDxM 6IooibqfeWzbsNSR4DIclUNeFAXDzX3w50l+vsBcHsoSBEvPbBujleW5oqzog4MAboqyhiSF b6nTDUmU6lVxxCZM8bFKz+8iQaE+pP5Inro/iyiYXdMXK4ZJvCSKOBHkpigQnjJoS51uSKeo dE0lnQj6n8DVfTFf+QSziPIbvCSKPrgbooTQvssZljoS4g4SyjFpIXkUVxcIxq/53bYlSKGI +RxR1gFLR6Y86ZuiwKIpaVrqSNRCaOUU2OU5KHl3q0Bm4mKefHuw6zh/ocOUS39R6n7EEyUN GiaUih7QDVGgUZJQOqItdXrDcygzoAXfgqTviVzqhaQ5wL2jeeCctzaa0JOs+f4LuduQ+zG9 enRuipJ+wQHV3VrqOO/j70VZSTu3bMdSx3kfTJSzL/UKdpzKu52OsOIYro41uodS8Ou8iHVc mHdj+Kq7xzJt/0Ry/jMdRbl4QjmPpvuJ4nwGLopjIMYff27eoB/QJuoAAAAASUVORK5C YII=</item> <item item-id="100">iVBORw0KGgoAAAANSUhEUgAAAIoAAAAYCAYAAAAlKWUsAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKrSURBVGhD7ZiBcYYgDIWdi4Gch2lc xmEsCUFDCBrrYdu/eXfctYBAXj6i7bS5XAY5KC6THBSXSQ6KyyQHxWWSg+IyqQVlmbdpmlib t4WG/pvWGHYf5ksTlm1mvmnzl/kYD3Gl3lbHvtL7dYsh9YeYfholPY4aFIKEB5mD+4ewoBcl 7mxeHxYYPzzKia49Qx/3BfJ6LSwlSZrfLIHDQAEQZRw57goUHJBurHELU9hOLsAHKt/cygoA p5egdRX9kFTmGXookl+BCCIQ+jSiMEejQFmiyDNVsHSmCpSaetKZQZ8q7XLcuTAwl/vYQJGE 6x0wWiv3UFAUFSY6oBjL3B3zUGzdfW2idv/dMqev/bmLdiotsXQueY8agSfyjLieBl5ZL68d YmSx69C8C8pRWa8rSg8GDB4CugNKltxnmds1LHM0cRjO2qm+CUp5p+fGnyf4eYI5POQlAJaf KRejheVVUBj016Ak9Q8HBjwEJZmkmW+ZM0waKFUFOFcBpvpYpecPkKDRHtp+BI/czwIKetfs xZrRTH45TaCogaAeggLmdQ5tmTNMmFQRl9bXVa4I/T+Bxbjqr17B3qoosA/f++cqSgjtu5zJ MkeTeoOUdq7j3Vx0N0Fw/h7f7VoKFB0wXwElgSurYQtKOrBWMvWgH4ICSeu4aZmjSQLRa5eC W74nRL/dXYFnajIvvj1YP8avbJh9GQgKvfLqlvpoGFUOlw99TOwb9AAUWJQg1Eq0Zc5ocR9q DyjhJWHSXJlIigHGzuLAmMsajekZ1n38G75fSeZ9b+kspldPXw9Byb/gYeS2ljmu9/TzoCRl kut1LHNc74mBcvWlLsTKqX7bqVRWZViUTxpDKHg/b+ocB+ZtGb7qnmmN5Z9Irr+sgaDcrFCu X63hFcX1GXJQXAZt2xfzlsyAakWJJwAAAABJRU5ErkJggg==</item> <item item-id="101">iVBORw0KGgoAAAANSUhEUgAAAGYAAAAXCAYAAAD5oToGAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIfSURBVGhD7VaLrcMgDMxcGSjzZBqW 6TA8sPmcCaZOn16E+jgJqYHDwB023fzClFjGTIplzKRYxkyKZcyk+EJjXv7cN7/tZ/hlwOv0 +xb4uR0uDcShvfaXtvsTAiMHpha4A+b2CAq+zBjnjyyC0ZhW/KodxMKGcd0R+o7ApA/io/Zk CvDp22jOV5YyEttkTBBTE8q5JDggGLGXdOHMFNOjUWVdHq/8ADE+xv82hm48Z4LlIrsDyhiV QFnWZN+1pMZ9CaMGSMakILTJGDinMf5OjRYCPn1bOM/BZgyeObWhO+GMGFOUsQzWoYTJ7xd1 NPPfQGQMHsgdctG2Porbk2DhaBCPZK8NRZOwl7KMapK6jChjARZjIkpWttwxmlKmb1CIHhbr HcDCeQL3jWG0FwtxuWQ9Y1KG1BBRz8jJFcVuzvWN6dXOgLLpOK5u/j3nCXxqDInd3XenDPV0 avqiHphlpI9xX40xvAEXD9a4y0HD4zUIbOFooLl0q5R2w+jfGNP3pSljBK4uyJfrdsoa9dmy BozJaccgoSBqEX0gkoXzBHgfN42Jt12Zo76VMcNUI9KzgDEFf4xkTPO2UErydw5UjEpjvb99 Fs7fgsWpmYaCNkLhGWNTBeMqop2EsiTFuN7Fqut4jSuub4yCIjp/dDdi4SzY8JkxAXxTZIpb OAs2GIxpygOWNuzH1uUsg+7AnDELz2IZMymWMZNiGTMlvP8BFunuNamCCeoAAAAASUVORK5C YII=</item> <item item-id="102">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAXCAYAAACcTMh5AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFpSURBVFhH7ZaBkYMgEEWti4Koh2ps xmLIsmhYATnCx9NheDPOJNGs+vy7uNgJxBQIMgWCTIEgUyDIV+CqF7ssYtPrvifep23YMxKb NYruTxn6VM85gZuxiiQpk5ZwEnO/j8Fq9REQSKBj1VRI2ZMrJ1YkclQ2ozoITKLsvkdCB6WT QGJvZQ4dJTLfurvon2Pv2+U60K11cfoJJHjhoOSpi0VDzkQ+cVWLBzlXh/9a97zAZbaq6/J0 FXikMJs+3ifFulTVrs5eYva+oLo4fQXyxV/cqFtoTicqSEmQx0arH1QX598Epq3VKtA9i7BA tdR9bwvfLjD9D1YXx8/9DgL5RkpPsUML+9rRfHushcUo4a3+ta2QwALxsE+Gf4kghZ+4tAPV fYY2gUT8upF/V8whU5WOifa6z9As8BCRbXFmb4topoSh79pE1Pge91fddwEIrGMz5tUtiHKj QJ+kt7cgyu0JHJ0pEMLaDwNKDfnzvM8HAAAAAElFTkSuQmCC</item> <item item-id="103">iVBORw0KGgoAAAANSUhEUgAAAFUAAAAXCAYAAAB6ZQM9AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAG1SURBVFhH7ZaLsYQgDEWti4Koh2po xmLYJAICAgZWfD6XM8PMCpElNx9czORypqgDmKIOYIo6gCnqALyoWi5mWYIhtV1J16TZV96M NjLQI5DjlDhTV2UEbCDUaid2UNjc/DtZjRJ78qxKNAl7LH8tYQNhIv1Q7JZQ/Xe0iv0nkSFj mRpkeqrdQCj45Z4TkX8QaoH9ogK2DdAekLn5srfiY8/xATgj7lPbe+k+HJu72f6/v/wtFBnI UFG4mMIeSz2noT2kUdfyWAkcmxL0bhiYdDSclcAkawhmUVSXrdkspbVQbMwu/ldBJBhUQs5H js1dtAQUKYtqyzDrDF5mUeTaysMLVrkAOTZ3gFXY+vddoh7LvUNUbC2VkuLYlKB3XannBv+g caVCgBXj1b8VteIgx2YoWI0uCH7wWlxWVPex60fq1JXlD/vn+jbHZhQH/91gOljJ1ArkaBC1 9PkEL9j2QAdOz8uxeSp9ogLodPhJ1ZJJkWDAlhnxDcuxeSrdooKbVPLlsrAf8VGbsHNu2DUS MJwPR9bm2eJ+ISqPVSl2W3gLA0XdMvnOC+YpDM/UX2SKejnGfABcNInsD/zykwAAAABJRU5E rkJggg==</item> <item item-id="104">iVBORw0KGgoAAAANSUhEUgAAAEoAAAAVCAYAAADhCHhTAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEjSURBVFhH7ZbhCcQgDEady4Gcx2m6 TIfJeWqvSTUmECwc5IE/zg/UvJr2AjgqXJQSF6XERSlxUUoeog5IIUA6+s8BKd/PkQKEcobv iPnsszfWnAOJOiHHtsBchJTvpxb527w9NFysNV9Bb9SZIa5ESPlO6t6plIc4Unlwfc6aC/yP qFlR+DzWXGApCvdzvbJSvpNaaATSKYMIQy4giFovPOQLiNTZEE/b3ikh5vK27JDirfkaRlRb dDi7lO+m708lo3ay5gumoq5FOFFs/irtK8x/taw5hW29M8cig2+9ab7A3nqUuj9uowfW/Ini ZT5eXTZ/hev/HLevNZ9ziyJt1W5KuzXXHB6zfLMwdL5pu1hzAXqjHBYXpcRFKXFRSlyUCoAP 1B9CM3rpqYcAAAAASUVORK5CYII=</item> <item item-id="105">iVBORw0KGgoAAAANSUhEUgAAAGcAAAAcCAYAAAB8pKH7AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHASURBVGhD7ZdbroQgDEBZFwtyPazG zbAYLkUwgjza0Xr70ZOQjDNN1R4KjAmKWFSOYFSOYFSOYFTOF+xbMMYcY9vzl2tUDjt72E4h 8XMUhPWjcrjxPvj8Edg3lSMS76wua/LwwVndc2TjXbBRkHXXhW6MyvkYytKmcr4GjtVUOXCK OM/iMKw7ThnXM3ocpSWp8fzkdb08x+vM86eOyO88rj3ksAFbkrpz8ppYJz8eqntDajwbx/+H VBwWOYv8aUJuMSpdVP9lrtKMwYsBlnKm53JqPDOpEGydM8rfmYwg64XnmMhBdAA1npm1HJjV ZYZfgPdAFLObP9Wg6Yjedz8wkIMsNDWeGVznNIKQYoBu/mpJK9RL26905ZQ1crmZU+M73A4W 7SC8IU4OkAURxAAi5EDSUrRpwanxzODlALGABDEAWs6lLk+YHgiWBafGM/MvnZNq8Omek68j 04JT4zuU+OEgTD+cnCwmX6V3QArq57/vt/hJMmcpBxgWnBrPTLrvtCiNmAJS0DB/dXR+Z78B Tjm3GdzcrP3NEeNXL/6M9p7Pl5Sadf7ULfn3N8QAdecoolA5glE5glE5glE5YgnhD18YkkIB 6fF2AAAAAElFTkSuQmCC</item> <item item-id="106">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAXCAYAAACcTMh5AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGVSURBVFhH7ZfhEYMgDIWdi4Gch2lc hmEoBC0hhAhS2urx3fVHjY3wkhfsYiddTAE7mQJ2MgXsZArYyVvAbV3ssqDPuu0RGlttjDwH o9V7j2jrp6QdaLRVLoHSZr8Q8SJy1x/BtqLG2OzaIGJuYUimbKKVF7alLLfCWK2IYF4DpV3k HGYGhoQxgf9OBH0S4DqmYei1AvwhslsZquKqwVt3F9rPjcpqBSSLtNnnIyT2PahfBy+gAw4O 13mqcGjgmQgDuGrXUfT8dilWJjv86Ocs2SgBjy5kuw9i+KH+gbzQOUEofnFSbBCcgNiBJ5QF lKqQDdmWjeN7wzOgUyCfFBsEN++4awUuCZhb9qqAvhZ4oVKMp9vCzNphf5VF+6GA3G+k2EAS RwnOY2AFxG/lbBU/YOGQm85NKTYWvOeWwgkdKEAPkexQkYhig/2S1Uqx/+SagA76GlP/Nw93 K7WLFPtPLgt4bJa1OBAEoMM4Dn1/QKAc7j4txGrL8206BKzDaF1p7XsyUMDQQfXWvifDO/Dp TAG7sPYFQiTp4cIk240AAAAASUVORK5CYII=</item> <item item-id="107">iVBORw0KGgoAAAANSUhEUgAAAKsAAAAzCAYAAADo3fg3AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQvSURBVHhe7ZyBkYMgEEVTlwVZj9XY TIrx2AUMrEBWjwjqfzPcXBR1kMeyEievBYCLAFnBZYCs4DJAVnAZICu4DJAVXIbHyjqPr+X1 Cso4uz1y37h89tyMeQza2X9bnx1Z39MymE4aprfb8IGETW2/DU7UYIy6QdqvsEgDuNOGJfKS JA578Ya8pyGaTRgevOJedARkXd7LNJiIMkzmP/+53w6rBUdRKSsN3PU+9AdkJVw6wH1nOiw9 /TupKbdTd+i8jJwLhsfJ82jq1Ocja3D97LX6aDtkdXDnmYg6ZHK2MIdNTqEFZBSbx23k1tSp ibwek0kDemk7ZPUUHrbsvlBiigj6B5GoM0zkTvW1po6EjwkjkyyFk0hBPCxjGNE6ajtkXbFT UvJGmRsYT0l2qsrdVMnaGdTxmYM0dWqSk5XbGsrYUdsh60pe1u3Ud6DDKMUQOViIpk5NcrLK yNpT2yHrygmyFqZmTZ2a8PXMtaK0h6f8uF09tR2yGrhD6Eb5Im9YzanQnD+VF2vq1MRfT7Z9 06aO2g5ZNfBNDPI4+fkLa2fYD0kpNHVqEl2vREdth6xK6Ib6EU/RaE/kk2LYaBYvz2jq1ERe r0QvbV9l5QOM0WsJDo736UfVvbDTn7w3H2zOG0+Zbpsvbt/mXoclWae2tLYteun6aHscWQs5 A51gz4h6Ku9peuhg/n3bt2kA5wxiJJPEyREFPuyNVnfinLYnclYX8teQTp9rT0N78FPQU9MP 4Ek/YLl0gIOpibTZEcP1jojsBQwHBQBl0rIaOMnlhdpMRHNLDEeS/zD/5Se/HSlGMUGngnTl tmRl9dG1nIfQE99OWfm84QCgc5w7xSclR+m6cL/x3yR26aEcqA7IShE5mvptSoCACL5xuqzb aX+frEgDnsvlZAXPJSmr/bpLE63OSAP8ygGWrp5OIbJqOCCrfMDaPHABkOZ8WQ1y6erX33yA e3BcVre05VOF7TRuc970or+f2k1BsgqU/DOyfufJL3aAuvxQVhs9McWDWvw8sgJQC8jakPAL Dp+687IhXu5JAlkbwaKuUlLKRKsqpdQpeChVy+wecn3h4+R5NHX6ALI2wQoSL4TMyzSOS+6V S7nct2cVhQdGUL+Hny86AmRtAS/7ZYRJRbJ/vqkWiTjX+/mis4GsLUh+a+em3rRJQmJbVyvU KiJdN3OQpk5rIGsTKDKKyMoCp/PV/778YyP20NXPFx0BsjYimnadfK9xMnmrl8UI7fZXk5Ue mDIHaeq0BrI2hAUhOaj4iEZTPm8LIm/NNMCcOxW9NXVaA1mvAAt0/E21VUT7gQeDFF1TpzWQ 9SKQTOHS1Z7IF4lo4LRC5MyaOq2BrJfB5bWUIiRDnlvcj9IFt80Xt4/FDLeHJVmnD2kh6824 81tukPU22Mjb44NRLSAruAyQFVyEZfkDxEoFXOnbDYsAAAAASUVORK5CYII=</item> <item item-id="108">iVBORw0KGgoAAAANSUhEUgAAAKgAAAAzCAYAAAAD6kM0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAPrSURBVHhe7ZyBsasgEEVTlwVZj9XY TIrxwQIKCEgEZJ/cM8OfbyQ6hMOyoPM+GwCMgaCANRAUsAaCAtZAUMAaCApYM5Sg6/zZPh+r zKs+45+bt+PMy1hnq5382zpeBP0u2yQ6Zlq++oMDKWno89eg5bTGpR6YfCUdc4qnjpo2x0Up rt1zL+S7TM6sQdCA9X4LRgyag363ZRKRY1rE/8wx306qBUVLX1A5WPffgR/jLpL0VE/9JTop OrX/HGHWbd7zOzMI9IDYj3Pq1OcQ1Lp/6l4M2j6uoALqMBE5p1gOti8ofo+ufrRa5/M1curU JBhBYxIyafvQgpooml4YyRFf2Emis30vJDl1fOg7JE6kJC7iS2Gg3DQYSfu3fWxB9XQT+3EU hZ0kB0HkBjl1ahITVAoSXsn3bzsEbSmoTB+CkUmRU6cmMUGbRNBKbYegrQVNTLs5dWpC9xP3 clIaneaEb9+/7cMKSlFD/jimRH+kgk6S19QCxB4MXNWpibmf3/a4H/3bPngEzaGwk9RBUISc OjVx7pdF/7ZD0EsqdJJARS33Ojl1atJFUEFJ23dB6QvC4r1YX3bPvfhFCh89/Zi2n/tWdqA4 5yT6+jNT9LnT72uXYJ3aoqrN8Ow0gknb3Qh6kTO0zpH+K99lGWfQerRu+3mKp3zAG71S3PMQ Ar9GpVfxTNsDOah+LrqHbnlce7oBII/wIklP9RQ0RUSNjhKqd0dePQisHCTGkZekC3gn0Z6l pJU2Utu8SGGkp9VbIn3wRYwV8E7iPZtYMB3c2Iag69rSy2u03xkISY3Cu1C/0b9B1JZBem10 Q1AZeZ1pXU33WIOBEI8Lep7S04KGRlaogHcCQQFrgj2rHjtZAkQtxRQP2lIYem4I6i+STosm AA6eF1TgbzO1fhoB/i/3BdXbUCYNOE/RKocNb8RbG/WY20GC5quLkV+kAOU0FFRFSUzfoITm ERSAEiDow9gv5pr0m7b1Ll6aGRUI+iDqBRwjokyB5A7IRSpEi9Ffdkr04tQUup+1KKXjnDo8 gKCPoaRwNy3WbZnnuICFb4zZOyQc/vTOHSDoU0QioRtVQ9zfa97lE6K7A0ORU6c3EPQpgk/M 9LSaNKNQUHnfyPVz6vQGgj5GQDSStsE7twIVmSdWf3rnDhD0QZwpdY+ei8hDjSBCxlMkKxRU 5rCpCHpRpzcQ9GFIClr4SDm0mMnFUIUpXlw7FKVz6vQGgrKnUFB1QAPAD5I5dXoDQdlTQVCB esfXvU5Ond5AUM7oqdekBOfoJuUV55xFjv7MFH2OZLQ/t0uwDg9RIegLePMbYxD0X3PxmPQF QFDAGggKGLNtf8jnqTdpEGF3AAAAAElFTkSuQmCC</item> <item item-id="109">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAVCAYAAADRhGlyAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFISURBVFhH7ZdbFoUgCEUdlwNqPI6m yTQYbj6oNDQMu/5w1vIjJYMNPjKgEkkBCqUAhVKAQilAoQqAKyzGwLKmx4nanAWz++Kb1J91 ifMczTrY4kDWb13o7bK/ANzA2TgwHWBwdNnTGR7GJHVzYG/zxJjJuZn2eQWSL/1bRFAeKFbB WxGx+Uqrxsq0HwAQKxcrRqjgg4W0mqKovl5lsTUqD8W0bwLM9oLm1wYqW76oAcv4iI0Bz4tp /wCwP+u3DbhsT55/DBD9wAOjKqZ9BeDE05gCWCT2lS5zYJKbEJn2JECkPgVg8OHrPZABkWlf XcLxHjZhCRMbdvDlo1PY+0RCZNozDpFBp2uPsmvLl/fABkSm/QkwvRCqJFXe9W+gDjJWzGjQ z38i6bsH6PL5FAZ9tCI55ZjrsQ/9qtdSgEIpQKEUoFAKUCSAH8bQKNE9y2uwAAAAAElFTkSu QmCC</item> <item item-id="110">iVBORw0KGgoAAAANSUhEUgAAALYAAAAYCAYAAABX5geaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAK+SURBVHhe7ZgBkqwgDEQ9lwfyPJzG y3gYfhJAEQMDKMry86qmalccSXcacHfSgjAgEmxhSCTYwpBIsIUhkWALQyLBFoZkD/a6THqa vM+y2pFwbNHHiPAkQ/ZgXby636v9vGNvSs8w+aw2e+EAjeWuCw8zUg9sqL31aRdo+3BfX0Wo mFmf/EOz/eqEtnTbg02rOT+Um5pPpw5BCzfQ1gDmHRuLh1U1K/jJ/d6+kDi2nodXuX+0O++p EbvuL+mtBw6sI78P5HEYbFy0L3jM//Foj0OqCQrhjz8XOL8BOax6CY6ntyHDL6ExerrRmtUD oHoHrNGE36kJtvEhPdezHvPBBkzzZzCNF4Ljzmz2yGE5iq9qNkB1OZO4z88Hc0asWi0QnkhA PtWa6AHcYHWXB7te080dO7IQn/Y4GmxTQGQHozFfIIYlV7ApprbZt0kYy+4UX2pN9WAH6ykM doEm8oUWT+STEMcGG7i88jXwOB5senikKZf3pJIG+veaOcigouPnBhcTEVMT26SWWm1w4+FI 9GAH7ykMdrUmvC83cDhNwlO/By08pjGWuKnXo6K2ENRU1pQ7O4iBCUJiZ/xSa6oHB+XBrteE 990Pdrhjt/D4w2CXfOdZzoabOqZFwXu2Mxu02/FvtQ4Q7HDDsJuIP1cLj9lg00QweXQXfODo MM/OMcndn29oDqed32mhIxKveUF5VevBzx7slAe7XhPeV75jh1ou8zTwOLFjJwjfU9n31hhH 0bGjqiu611oR7Fua8snW3MDjumAD+BD/3zPpv9x9/NWYc9R+T99aK4IN1GvKJzvYwNMeVwfb PTB+TJpJzkeMFYvXqRneM4L7+qJTrbSzuTm4RcPXZfil6S7m+aUBjddT6LEdb8amFJT0f9Cr 1pF6kKulYbBLV+xfpletI/WgTEvzHVsQvkCCLQyI1v8AqVrqwoLa8/sAAAAASUVORK5C YII=</item> <item item-id="111">iVBORw0KGgoAAAANSUhEUgAAALYAAAAYCAYAAABX5geaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKYSURBVHhe7ZiBkYQgDEWty4Koh2ps xmI4CLAiBheBIMvlzThzu66S/PxEuUUxzISwsZkpYWMzU8LGZqaEjc1MCRubmZKPsTexqGUJ DrG5M/E5oY4zTEumrMEmgrj7xX6e2LtUq158lbv74sAIi33PNGamGjhTB/3pGpTe3NdXEQhm VSf9jNhhdAwtw9ZgV3LNN+Uu19NTB4DGjXIjAHnHNsHrrlql/st/pg8kjYuncZeHj3avPRTi k/ebjFYDj4kjvw6gcWxs07QdNMY3j+5xCDHpQJKPv6Lu25SIHk+9AcEvprFmGiZX0hoYXPPo NfKNVmpsq8PXtRpqjBtbY4u/6oUSicDj0gT7JJBDzFJjh5MWPb7eGBNiU1Jo86RyeTPX5jWw mHv7ZkFfGVBKjR2QMm9jjZPG9hPjfrNiTPJUVBtMabGrSQhrTXQ3uV7IlaoGcN/QoOYeuGFr BglqbE36la+dxmljwyLfilIbiF0DBMp+HFZyKarBdf5tsgS5OuOm1yWqgZmOJ71zG9D8rnJi G2A6Y/dpqDGcQyESNRJxE8+ur5kgFiRmqslYmatds30Nrq8efY1NObG9xi8aO1fM9pwFt3Es Qur3bC+2zusS2Bu50tSgq7HjgeGGCL5WO41RY0PievHvU7A8EHvvHJH87/MFzeE0+f30uN3A 9Mj1gLQGnV9F4lzS67TT+GZi51DTYUfiv8GouRbEFe8z0H1HPc9zbqfxq8a219918EiMmmtJ XPoqbYLw3333+4syehs71Ljc2H5H745r/HaReJMAycI1JgEbFHxGNxODMGquhXFZgniuFzbA 3j+7YVpr7M6TsUupQ/ofjJrrTDXIzYXQ2A879qcZNdeZavAsF/KJzTBvwMZmJkSpP/PnLDWi sgPlAAAAAElFTkSuQmCC</item> <item item-id="112">iVBORw0KGgoAAAANSUhEUgAAAIIAAAAXCAYAAADHqJcNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJkSURBVGhD7ZhtsoMgDEVdlwtyPa7G zbgYHvlAARMItR37pjkz/lBChOQm2E7BcSIuBAdxITiIC8FBXAgOcghhW6YwTdm1bDxSjy3h HHH2dT5ik4WsyzmvjGfb3xYWHtPel+dqXnd+2qfsCPsaZsUBvGDE8U+wLTHgKZGUpL4YUjKF gmr6g/tzDgmm9IEiOCbQfGvOrkcDLmYOxXwQSH+HP8Ye1rlKPMRuXuOIBotAjGXH375XfsFX lics4kpchbDaCN8ItKBzQ3BfCcPhwAsFUz/LoLatJGbUH4zlqpGSjvMtXUr7WMwdxBeo7aW1 UBGuiHSh2Fh4x73F5gsQq43WLgeexuZ1zfaXzR/xB3Gv44DzJSHdEUIE1Rs7waXdJPDFsJkR IRDlWQb3Vx8WGw2qvMZliUyPUSFwvCCBNJzEzT6M/vKPydKebItCkcShoAohqan9sQEvvymE uFgpcBabT2ESkpS4VgVK9viM7Qf9JUEU+WH7Yq0XccnoQsAkK5s6uCkEWLjyAovNo2DQq71L zxJSovMYj/rjjqIXam+85DkhwLHTOO8tNhqmir4NBTp3hVWqrleIZ5HoUX+0T20rvbk1zwqh kRSLzeNAlR/B7seL2vnZFXCP+YQRfyAiMdHVt4cRUQjp/OlX0A0hgE+sCLl9WWy+gTxWZZg4 IVWycF9sL8VV9cffE8dVi4DjBGOvxKrRESzcFALdXDcdsdg47+N5IUSoCko/FhvnfbwuhKwV ydVKZ1zZwvhZunisaJf1Jdq4IN7NzY7QZ1/THyjON/NBIYz9jnWe5eMdwfkfuBCcSAh/sRVZ b9Z2zL0AAAAASUVORK5CYII=</item> <item item-id="113" content-encoding="gzip">H4sIAAAAAAAA/+xWz2sTURCeTSfpD1LaRKkaiy6m59ImDVS7bVPXICKSYIrXauOiKZuG1oUq ePGu4F8gerFnPfofCEIj3jxZEFRQBBFvZv3m7WuahqKp9SLNF+a9ycz3vdm3eRlelIgM2DVY n/JDGNlbdZyjJMjCeiql/OKSU/JUhK7CLCNIdSl+r32lmFu54DkVQzGisEhzoF+NrMhRkO1q ZbEq6WDFQVg3wtuRAamBB5rCXIsTfcY6afi+L2xQ865ju2Vn2VMaZCN6J3qEtrYRe/fkWWKT WjCDp677vUqxBaOhDh4npL/XfakYwO/gv8JPWL3JOjhYuExVfDwyKUfLmFfpTmsr+C2GKNz4 z0sveNG9VEhZkdyjY/e+fP1GH5u5hZXkSP+HN0YX/KxuJDaqS11Hjbf2VFsQp5DRvJ92daeN P3Paxd/U/5fYT315DdLH5TdhCnp5BwcHcu14myLKhYPz0LfjZDT8iD4meVgsiMW1e70sZ2dA a1kryttiSd2Gffd3Hs+HQYVXMlwqmsWbjuua59wbcp7n36+vPd9cX/s0NHFXrho/2tXuAkuG +fsvx0u12NMH9HhkI/x66yrT07LR3TZPRkjvXt7CYR3kM2yzxRme5rN8kZNUpAL61wIN8yE+ xUkVOc5jPM4znMU8Bp5402Bn2KSszonapFl4Jp3nSZ7jKbWq8CzEpIYoJ8C31KomJziNjp1Q 62Y4xUcwS170w4p/ErlJnkVsTmlSNIq74ShUJ1B1EDXSiqk2+gsAAP//AwAuzBTH4QoA AA==</item> <item item-id="114">iVBORw0KGgoAAAANSUhEUgAAAiQAAAA1CAYAAABx5vBnAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAl+SURBVHhe7Z1LduowEERZVQashhFb yTT7YJ5lZAPZxNuBn8s/yaZlUGGRtlX3nDoJMpjourEb88mpEUIIIYT4Y1w1JKfTSVEURVEU 5ymBu4bk379/L2er9dQWeeMjd3zkjo/c8ZE7PnBXAjUkyhR54yN3fOSOj9zxkTs+cFcCNSTK FHnjI3d85I6P3PGROz5wVwI1JG/K7RK9/na5mdf563j01ufWXE6X5mYu8xHVHB/v7i43+zoe 4tHdGDj8+Pwxl3mIP3fYz0WP2dNH8/ljXe/vg7+vBGpI3pGfz+bj47P56S7/NJ8fPgvNnbfO 1fjgVEOSk5/Pj6gJ6T16PbC6q7vbpTlNj1ffzbC/x+wQ7PPav00NSU78P/EaA3clUEPyjmAH Fz1DxTMHjwcHtzs3nSF5OWhQvB4cfLvz+wQC8emud3a5+K05xJ272RNX34G7EqgheUOWBwOv BwefOzdEDclr0RkSOt0zfZ0hycrwBMxzE4y4czecVcLfhXh3VwI1JG+IGpJXo4bklaDewksQ /uLVXeet/dv0HpKchMeqGpLMzF4q9P8kogRqSN4QNSSvRg0JG+/NCOK37hCdXcpJvG9TQ/Ja PPuDuxKoIXlH9B6SF6OGhMkemhHEb9318X5gsMb/Jn3zhr8pjtxxUUPyx2xVIO4KTZ+yeTFq SLKDJti5szHe3HWNnD6h9HI8H1AR33WHfZ4+9vunbFUgHh+ke/hOCI/e+qghyc2s3obomerz if3poMpFDUl+9lR3JVBDokyRNz5yx0fu+MgdH7njA3clmNb6fQ2dWZfr97BkuezahCXbgvVb k8/NVuupLfLGR+74yB0fueMjd3zgrgTztf5+Nef2js5fv8NAAE2JNb4lWxWICo2LvPGROz5y x0fu+MgdH7grwf1av6/tnZ2bWe+BRiU6Y1KKrQpEhcZF3vjIHR+54yN3fOSOD9yVwFjrb/N1 PjWn81f723h50aAUApNUFEVRFMV3SmCvdXjppjsp8n0t/lLNCCZpdWO5KSXr6Mgbj9zxyB2P 3PHIHU8pd8m1dm9kPZ/bxuT5N7HevTF2mQcv++A6VoORG6xH5CNvPHLHI3c8cscjdzyl3KXX uvIG11JgklaDkRsVGoe88cgdj9zxyB2P3PGUcrey1u/m2t7pG97LOoFJWg0GkvPFYiq0FNim 6TNe+/K2PpfZ2brUR9hfGF+C5fthW3cjWM58Qq9qd92HCDLGF2D5ftjW3e/XeRqP6ys1vgTL 9w/ntCd12/V1glLuVtaKPyqvIZlN3sqDleE6VoOR+9XrWI+IGd6o3G2HdKHtw9sTc8HZPetN 2Ynxbgc21Wa/flxMjVvU6m4idUY1NR5Rr7v5Phb7z95Tavyeat11dTWuC74ejBvsw12KF5wm b/vEOgdKuVtZa35D8iqYpNVg5P5zulKy9g+2abrQ9uVtZS54dhkVLnbo3cXU+AI0ItYBIDUO 6nbX7+yu16Wf1Picat1hfDpgRKTGDap1NzvYPjFucIzjBOF0InXblXUOlHJnrjU+5dUltUU3 BvdlNRjL/4nw6H8klJK1f9YLbV/e0nNZNg7j5dT4nP5Zwn3Jp8Z7qnY37PjufKbGF9TqDj+t fWtq3KLeuuub3X5RvN7U+D3HOE7kOw2kbrvuDZRy52qLYJJWg6GGZCuO9ADNfyA+foD2Y9az 09T4SL3uwrrm10mN31Oru+7n9dq9pAUHYxOSGreo+jHbvTwDR4uXZVLjC/blLkW+00Dqtul1 jpRy52qLYJJWg6GGZCvWC63qnVsLLjPNCKjVXTz+zO8WNbsLdRXOwKXGLap9zKbeH5EaNzjG cSLfaSB12/Q6R0q5c7VFMEmrwdB7SLZivdCOsnNLvna68poqHqxsMwLqdNcfLDH3OOev78S4 bRHL9sOGddeOmweM1LhBre6WTsbLqXGLfblLQTidSN12ZZ0Dpdy52iKYpNVg6FM2W7FeaIfZ ueU+e8ID11pXatygWncRqZ3/2kEB1OsuXhfGxwNGavyeqh+zs/GogbHGDY5xnCCcTqRuu7LO gVLuXG0RTNJqMBB9D8kWrBfavrwt5zK/jGcDU71EeyRrfDY2BAfQ1LgFlu2H7dzF1NmQvOiu a3ozxhdg+X7Y1l226wVYvn84pz3L246kxgOl3LnaIpik1WDk5hiF9n7kjUfueOSOR+545I6n lDtXWwSTtBqM3KjQOOSNR+545I5H7njkjqeUO1dbBJO0GozcqNA45I1H7njkjkfueOSOp5Q7 V1sEk1QURVEUxXdK4K4hsc545KaUrKMjbzxyxyN3PHLHI3c8pdy52iKYpNVg5EaFxiFvPHLH I3c8cscjdzyl3LnaIpik1WDkRoXGIW88cscjdzxyxyN3PKXcudoimKTVYITcmsvp0tzMZSH7 KrT1z3zHnyOPP0aeGm8XTOPPf+68B7fZD368Adxu/7zTaQDL94/c8cgdz7HcudoimKTVYPTf zjoKPEpD0n+LYD+nREGhOKZv2osKLzXe/R4KDEXXfyHVE/fVIm/dhWxvYB/uUrzT6T1ytxjv fpe7DrlLcEx3rrYIJmk1GCH1nSEJoAD7r/5dfvMlLndFNCs0i/X7krcUj+9rX+5SvNNpQO56 5O4RcnfPsdy52iKYpNVghFTckOD/EozXmxUOCq3vZFFYa6fZHt2XvKV4fF9V7dw2cRqQu26B 3A2XksidwbHcudoimKTVYITU2ZB0hdLOKa4VnE7D2OnUdrfXvuPF9c7Xa1t4w7K74lq/L3nj vIF9uUvxTqcBuZM7uWM5ljtXWwSTtBqMkNpfspkX1QiKayyoZec7v/76fckbyPcG9uUuxTud BuSuR+4eIXf3HMudqy2CSVoNRkjNDUlbIm3BoHDmRIXz3Xa30fL766/fl7z15HoDde3ctnAa kDsgd3LHcCx3rrYIJmk1GCF1NSQoiHDaLBTObLwtovAu63hdUaFNrBevvIF8b+DoO7ftnQbk rkXu5I7iWO5cbRFM0mowQmpoSOaXcToN80HibjUenxVNV2DDsrtqShcvwG32gx9vALfbP+90 GsDy/SN3PHLHcyx3rrYIJmk1GLkpJevoyBuP3PHIHY/c8cgdTyl3rrYIJmk1GLlRoXHIG4/c 8cgdj9zxyB1PKXeutggmaTUYuVGhccgbj9zxyB2P3PHIHU8pd662CCZpNRi5UaFxyBuP3PHI HY/c8cgdTyl3rrYIJqkoiqIoit+UQi2iEEIIIf6YpvkPmgt/ZQpNJZ8AAAAASUVORK5C YII=</item> <item item-id="115" content-encoding="gzip">H4sIAAAAAAAA/2xTTW8SYRCedxd2gfJRKEoRKlgBuwgViF8Xk7FptIlGk97UQ93C2qKpIF0N 3ognD8abZy/+BOPdePef+BMMzjvvUHvoS2bzzOwzz3zwbhIAFJlPlmBs0zMWvNkNDoaj1xHQ Z4ssPhj1Tczm2H1NO+o/3n8Z9EOOwHPOt+jpHB+Ot0ZTE35K5lJg94T4jOw22ccVgE9U/U7+ v6/PH8c0ZYFlM8idFL8bhpPh/tswMMwdsgycPhHcWT/tWxBliUg4CYJVDiFZaszQQSz+BJhF XcSvBNCJCXDjAmIJAfElRIuKhbQnW1ndDiQRvzwA+JCAlHn1PUmjKqe7eetG7ybJp03qLJ5B 1H1imoLLBs/S3EEWMfGLvFgOMfKXKNkVozXIUfPqCeSFkDsn5fM6rjpw3vjf2H9FUgXE3G9i ZldFoUCNWu9DKCJ+pnlnBbggOUWdY/6NkvTolmXO0pqA8kXDfrcmFSvG/7HwoSq55UsyX5UE 12W+KstfFq/EXk0SnLrUqDUE1K/IeA0Wvw4bstLGopgnufWmFPNI8KrIeyzfkl3V2rLM1qas oq1VpnBN5m/Lzjritxb76PL9zQx6ewcTf3y492I0OfLDqBlFfwYc3vZD31yvjZNrRseWj6km t1Kxl/Cnw+N7rGM+nSbZIyVcc+b0A9U8O/rwjOhC3A0nfj/obXN98IRYUcugPEW8Eu1OefR2 XlGW8mzKrShbeZG5jkSIBHMCUeLMkF45mqMFXOYQiGmOJse1jk5PEIfTl4jD6UnicHqKaxFI M4dARnM0Wbr/BwAA//8DACYFlmVxBAAA</item> <item item-id="116">iVBORw0KGgoAAAANSUhEUgAAAVQAAAC1CAYAAAAA/QcmAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAx5SURBVHhe7d0NeqJKFIThWRcLYj2s hs24GKabAqtV0BNtUeF783AvYTJ/FU6lQSf+GwAAVVCoAFAJhQoAlVCoAFAJhQoAlVCoAFAJ hQoAlVCoAFAJhQoAlVCoAFAJhQoAlVCoAFDJbxTqqRuaf83Qnab3z05D1/wb/v1LW9Ol9wDg c76/UPtWhblQqH37b2img6euGf61/bgPAJ/wI5f8/dBeF+q4am3Tj8zyx5TvA8C2frdQ88r1 4jJfl/8sUgF8ys8W6u0l/nKh6nYBGxsb2/2thkMUKvInmhxmZCHkYIcv1OglP4UqDI+RhZCD UajXD0rdPEglFKowPEYWQg5GoSbXT5ua90sUqjA8RhZCDnacQh1XnulTP22Xl/TFE/uvr/Un FKowPEYWQg52nEJ9EYUqDI+RhZCDUahBFKowPEYWQg5GoQZRqMLwGFkIORiFGkShCsNjZCHk YBRqEIUqDI+RhZCDUahBFKowPEYWQg5GoQZRqMLwGFkIORiFGkShCsNjZCHkYBRqEIUqDI+R hZCDUahBFKowPEYWQg5GoQZRqMLwGFkIORiFGkShCsNjZCHkYBRqEIUqDI+RhZCDUahBFKow PEYWQg5GoQZRqMLwGFkIORiFGkShCsNjZCHkYBRqEIUqDI+RhZCDUahBFKowPEYWQg5GoQZR qMLwGFkIORiFGkShCsNjZCHkYBRqEIUqDI+RhZCDUahBFKowPEYWQg5GoQZRqMLwGFkIORiF GkShCsNjZCHkYBRqEIUqDI+RhZCDUahBFKowPEYWQg5GoQZRqMLwGFkIORiFGkShCsNjZCHk YBRqEIUqDI+RhZCDUahBFKowPEYWQg5GoU5OXTOGMW5NN5ym4zMKVRgeIwshB6NQR/3Qtv20 v4xCFYbHyELIwTYr1L5NsefVX97OK8BUZDfHPqDvhu7Bb06hSvpMTXsgCyEH26xQR32bfsM2 1Wjh1A3tozZ7q9PQNY9LnUIVhsfIQsjBti3UZFypni+vU5m1H1yZXtEqullcrY6FyxtvvPF2 723rQs0r0mZepaYV64Nbl5sbH5xa+EOxQpV80kDIQsjBti/UJK8Em65fXp2OhZubfnmleKEs 51ryr8mj/KsYHiMLIQf7SKHOpXm7EMwPUk1F+rAs5we03lCorFBXMTxGFkIO9plCzfdOm4UV aH7Qqry/2iyVbuENK9S+Xb+HCoanRBZCDvZVhXp9/1K3BhbabVYU6vmJ+X99+tW0Wh5/btrW CpxCFYbHyELIwb6uUMsC/UuhRp5L+goKVRgeIwshB9u+UO+sCJ8r1PRz8vNI794beB2FKgyP kYWQg21fqPc8dQ+1Gdo2Xe6/+V9aUajC8BhZCDnYdxXq+Mh98Sj/o5IsLvkfrmZfRKEKw2Nk IeRgX1aoyfmWwPU91ulpUlcr2PwXGI+N/6w1v1/5aVQTClVSwtMeyELIwb6vUB/ou/de2q+h UIXhMbIQcrAfKtTAPdU3olCF4TGyEHKwn1uhfgqFKgyPkYWQg1GoQRSqMDxGFkIORqEGUajC 8BhZCDkYhRpEoQrDY2Qh5GAUahCFKgyPkYWQg21TqPk3+cRWEYUqDI+RhZCDvb9Qy4LbequI QhWGx8hCyMG2WaHuAIUqDI+RhZCDUahBFKowPEYWQg5GoQYdrlDz3/fXto1RJEIORqEG7aJQ y/J5sOX/LR3LW3ksb/NueSxv8255LG/zbnksb/NueSxv8255LG/zrne2lf4E096xkYNRqEFf X6hzqaxs8255LG/zbnlMB5Z95fAUf+a1P/7a8VdQJEIORqEGfbxQ50YIbPNueUwHXren4VmL JRoVRSLkYBRq0CaFOk/4wjbvlsfyNu9u5QjDs5TnUs4UiZCDUahBVQt1ns6Vbd4tj30Lhse+ 7FPzMZwT9hOFev3ifaV7P1bTU0HNE7eyzbve+X4Mj61l8UOfzio4J+x7CrVvF7959Ph6+9c/ cPWx7349qexuUPME3dnmXf3ndzE89pcszp//HeKcsK8p1FyKN4V68SqotvSxiz+/ojGohS3/ b/XYDjE8ViOL+bT5ZZwTtlGhTi+wN27Ti+idX4yvHbq8Cp1//PxKp8sveTKuWG8+Nom8SuoL 0m+n/xTb+diBpL/1tId3ZTGfYr+Cc8JyL9Xw+FcZC/TylUxPXSrT9P7p1N+WZ/ES0aXFjx0V L0H9BgfrzVUMj22dxbcWLeeEbVeoyeX90LQCbe+sRvPl/uKKc+3F+t77In61gvp1DI99Qxbf ULKcE7ZpoV6sIi8eWKJQfwXDY9+axdanKueEbVyoqfbyKrVJZZo2dx+F+isYHqNQhXPCNi9U rVKvn+a0UIYr91DXi/OVe6j6NXMYyyVeL6hfx/DYL2XxztOXc8I+UKi5K/VgVCk/7emy0NZX nLcfm7zwKH/+9eaCX3zea0KhCsNjv5xFPp1rndKcE/aBQk1F2S205JLVy/5bTz8P9WYlnFe6 tytjClUYHttbFs+WLOeEbV+oFw9GPba2YiyVK8w/uynt5ZUxhSoMjx0hi0jJck7YZoV6vkx/ ZhmZSm+tMHPhvvLPTm8Le71QeeONt/Q2lWxxhLf5batC/VZ/KVRoiCBkIXMOjEi9nvjdKLnk /xNKxMhCKFSjUK8flFp5uhaFKpSIkYWs5ZBH5mhjQ6Em10+bWronS6EKJWJkIX/JYe8lS6GO dJmfw1h70IxCFUrEyEJezWFPJfv2Ql0L693Ha6NQhRIxspB35LDVXNfGCjWIQhVKxMhCtsrh F0qWQg2iUIUSMbKQT+fwTUVLoQZRqEKJGFnIN+bwqZKlUIMoVKFEjCzkV3LYomQp1CAKVSgR Iwv59RxqFi2FGkShCiViZCF7zOHZkqVQgyhUoUSMLOQoOayVbHmcQg2iUIUSMbIQcjAKNYhC FYbHyELIwSjUIApVGB4jCyEHo1CDKFRheIwshByMQg2iUIXhMbIQcjAKNYhCFYbHyELIwSjU IApVGB4jCyEHo1CDKFRheIwshByMQg2iUIXhMbIQcjAKNYhCFYbHyELIwSjUIApVGB4jCyEH o1CDKFRheIwshByMQg2iUIXhMbIQcjAKNYhCFYbHyELIwSjUIApVGB4jCyEHo1CDKFRheIws hByMQg2iUIXhMbIQcjAKNYhCFYbHyELIwSjUIApVGB4jCyEHo1CDKFRheIwshByMQg2iUIXh MbIQcjAKNYhCFYbHyELIwSjU5NQ1YxDj1nTDaTpeolCF4TGyEHIwCnXoh7btp/11FKowPEYW Qg5Gofbd0C0tSa9QqMLwGFkIOdjBC/U0dE06HVIIa5f6MwpVGB4jCyEHO0ShjoW5sJX6Nh9r VlerSz+fjY2N7XqrYRdfosYHpwL3UwHgnXZRqKlRh+bBpT8AvNt+CpUVKoAP20Wh9u36PVQA 2MpvFmpekRY3k1mcAvgG+7jkfyj+NKvdG78YsaJPlzXnL8iHfkCTHBb0Q/vkjByiUPNTq5op nUM/I+A8PAcv1PKe+3S1M58fx1L+a8NcIlztZY+einnP/gt1HJg2nS6zfOKU7x/N81999+LU 9xdXKeMX2SNeuZxOF3/nXCSHL9S06GjT+cEKdU1elV0Miy7/j3viUKg3bs6R4+G53FmajTED CnXV7YlCoVKol/I5csxL/qx4fOHghdq385UrhbqKQr1GoV5KefCPQvKgHPhecjJe6k/7FOod XPJfoVBLXpXguJf9xSr9avtrHMd7UOrmQaqjoVBnuUCO+4V1QV58EEjCCvWu66dNHfd+WUah jlJ5XJwHF5d8R5RXaZwXQqE+wI330XSf7NnLmb0YL22LHLQd76rlMgfK1ChUAPg4ChUAKqFQ AaASChUAKqFQAaASChUAKqFQAaASChUAKqFQAaASChUAKqFQAaASChUAKqFQAaASChV45PDf 2g9RFCrwAK8GiigKFTtRvoxF/l6W+Xtavv59Pi++ZyivPYUHKFTsSl5NzsXXt0WZPvnSN6dU zMd+DTL8BYWKnfFK1SU4r1af+a78+vUoVERQqNif6aVeLkrw6RdnpFARR6FiZ9JqNF/y51fw LAu0KNTzfdHQPVEKFXEUKnYkX9q7RMv7qRcr1L77wwNVFCriKFTsxNW90+my/7wSHd9vhiZ/ zGI7TvdZF1atYzGHV7Q4MgoVxzAVatumy/07xXjquvMKF/grChXHUFzy5xVnc3PNrxXu7XEg jkLFAfh2wHi5Pz5gld8vHrQCKqBQAaASChUAKqFQAaASChUAqhiG/zoWKga8v7xfAAAAAElF TkSuQmCC</item> <item item-id="117">iVBORw0KGgoAAAANSUhEUgAAAIwAAAAeCAYAAAD+bvZ2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKfSURBVHhe7ZiBsYMgDIady4Gcx2lY xmF4BFBDCJC8a7Wt+e64q5ViEv4k2MkbhgITjKHCBGOoMMEYKkwwT8UtfpqmNBaXvxxjgnkk zi+HSMLnIBqpZkwwT2Tb/JY/Am4xwRhCtnW2lmRI2Pw62xnG0LKtfg6imVfcpNqYYH4EOIcc bz10DCqIpi2ZYIz0iv07gsm9dl6Lk32TXGK57IqZhO/FMXtcjfEcLoZFJguDrKPv78g+PfC8 MgY9Plww6T+CGCChYKgozqCitfDA68Y/s5YwM15U/09EsaD58fqlohn4O7BPShkjuViAr2hJ 0UGRYEIQWxF0LgcaETbgPOylzC5+Dht0PDfdLw6Hxf3Xwfs7su8afkswMQNT5kgyzy0ou2Ir I9lWfFe3CrCLf7uA7N8rAQLWE/jB+ju07xqyYHIwjhK1l8b7DQRkgsE+5NFVTfARrxnFRjeZ lP3o/74u+X0FEY1QLADrr8S+CygqDDbULcS4I3tlgum+5sFQeCkTDOYUT/MxwZ+qvUg25IgD ncuRRaMQC/A1ghkHGgz81ApT0zuUFu0I4DYkV5RzCYgPzEkbJRaN0naxYCr73k99holGtETx XYKJQWajyWwi5zf5DgSIqxJ9a6qBeIVNhnUU9rP+Cuy7AiKYFEgHBrPZIxfMvS0pEwTD64W0 o0iqrnh++VzwnWZzFkS+KiH3FKLh/R3Zdw1IMHu5TfDlXC6YVzLOZIbOBlXtaAcq0vEbKpDc rvGaxXxMQ0hC0TT97dp3DVkwORi7AbHUpevS8KsFk4JyVib8bLKB2GYYzY0JazbvwTJQXdMa 9Wacceo/47/0/E307Xs/9Rmmy9WCMT4NE4yhQi4YUvLvKIfG/SgrjPF0TDCGChOMocIEYyjw /g+pgXDnA68iTAAAAABJRU5ErkJggg==</item> <item item-id="118">iVBORw0KGgoAAAANSUhEUgAAAG0AAAAXCAYAAAABQcHxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIGSURBVGhD7ZYNcsQgCIVzLg/keTyN l8lhLKJmwaCYdNNdO34zmWn35Qd4QLKFxXQs0yZkmTYhy7QJWaZNyGGat1vYNnJYn5Vas+Gl zMYenIEcjIO/dHZnjrxJOQ76ug82a/f0NnzSdhcM3MC4c0rROOn3eSBFGjHNWzi3NGi6lhW2 q8fmeDV3MXdc73NejxiMCcyfaOaVVvhisECqaWkiTyYd1ym6d7x++fxje2m6gvBOyzdgAVYm TsyQabhxhMYtv2m6AL5iOqZoOkX+EMEAcidBB8lrMZsL5+mdK6Ak+RRDprHVVyArUNNPpFq1 PdF0jmwagM7DhJnGhwd9x2EhRp8YwaSj4WOmYSx4fuO48OyPmBYbtPdMTa9omoY3giDEKUON Bh0Dls1tE6+ZaNJyPZqmUb3C236eml7TNg2L2uicGDRL/Np4J77YNDSgio3+pumE+LxeXTRd 4pZpmDgTnjXtz9ejkA+/TtMz0NxsU4Gxjoaq6Q2mMO2dpHe1ZhrAtolQixG9NNVxkJWq6R1E 09AUerPaDRZwZAbTUmFfedFnp/hrM2kdpNxa+ql+5cgnabpGZ9I64P4mXVH/P8RnJu0/cM80 oP7kF78yuyzT7nLbNLAqrZTmWOd1JL0/cDLztXAMboVF5hemjbE7d3FtLjQeNC1N4vW1udB4 fNIW72eZNh0h/ADxYJNYnzS2dwAAAABJRU5ErkJggg==</item> <item item-id="119">iVBORw0KGgoAAAANSUhEUgAAAGgAAAAXCAYAAADnaAq1AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIbSURBVGhD7ZaJjYQwDEWpi4KoJ9XQ zBSTja+Jc2CH1S6KUJ6EBHxy+due2eJiapZBk7MMmpxl0OQsgybnxQZ9Yti3uO0h3fl8wh63 LX2fruPkl4rzIA2uPbQzerqQ1zliZ5mGlxp0xoODNWTQeaiA0VhtEgb/+4J0bYKnE7KnMWOE V7c4zFbXIKq0omrAMBn3CXGvg6oN9XSEzemVpsMyCAO8xyLh9bsm2AnU2VRPT1D7q74ZhA3i fo0lCBuTcpSNaz1fOSGU3gTE0v6XIYN6AeaMzwb0DBzUea49BI4pXONmFRWkD3QeapIzlBvA RbMOGSI9F+fIzplaD8o243LGa/7EIL4v5ilMcXS8TzFIOq0hCTtmUtXicrabcYBF5QPMFr2Y Ms/SHuDXBlUtSp6LRNFjLL03P5s2kmvtbxAuVpVsBWT5d3JYrAgCmYy6pT3AkEG985oxoDNc /5Wu9J5B6SlXqE1lUBoIpQgHayYVyipo21Y2wdKueLzFdfZkjfPmbPWOGQNFICiDYKM58Bio XjAgI9R7ywRLewI8g2tQoqj0q+ymvV8n7rWOcVDvL2PbgQ2SyXljuqdWByzaGzBli6Mg58rT 2cpnrc5FQaTvi/2pWHTbmqczRWe4EYD2N8ikbG8IblC908+WthjinkFVexMgO/RfaZ1Jlrbw uWVQ096+5BbZGmhpC4+bLW7xNMugyVkGTc4yaGpi/AH2LZT5y5rzVAAAAABJRU5ErkJg gg==</item> <item item-id="120">iVBORw0KGgoAAAANSUhEUgAAAHsAAAAXCAYAAAAr8TBeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKHSURBVGhD7VZRssMgCOy5cqCcx9Pk MjmMT1ATUERj7bxOdWfy0ags7gLpyy5Mg2X2RFhmT4Rl9kRYZk+Ey+xjf9nXizz7EVbStd3e KzPgsDvRhchSxGk2dT/TM9tQ56PnN3OGt3Xwzj6N3QoBgOBJ4N/Aac12F3c0UTX82N2eeMYb R/ejUZtxkcnva0Odj+/38Vt9ycc4JrtZdh6KQL3hj+IwXAc0g4qdwq+zZdDzMtevM3Poeo0P mzGZrKy4dAjf7EDAEkzMnxi8sxKgGUKjXO9SbWF5UzuT8UnGhmlcrD8C+Q8aDeAI5GRC4m4f Tb4Oco48d7Ja3F7OUfD8RWHFLktGedDWG+jW1HskfBhfKiYlJwLZbAf/bXFVVxgRsB6LAL8t LWyAbFSBGDeHFvcpJ94BhC09rTlHgLCaOS1mA3Af5CBreyHj87FYoUsFUEDRbCRygcWuxjWa KDfsESDZqIQWdyRnJ469IqpkdtDxNhu6FfYE45Q7iHwhHi/cNh3KZodkxOKHS7GKq4w3BdB9 1zkt7kDOHsAkqXKhEdKYvd/R6QTA6cPu5dHEFzQQG1JAl9n5CO0VnnenFreHc9gYd4XGBHUG GvFonhPmfZkpaco1QDTy8dh1/K/Z0K3k0GizhwBypAWCjzI22QRKNfQ5M4PYfocmvhCncXxH iGajsJQsVTRNMJA/FZ6NcIAWdxDnE2Q6ZHoI5jnQc3l+0ajwkLNVPvK9bh3dFEpnK0BSUlXp 7yYI40uLO4RzbvSZ7UD/aEBFPq406FShLbW4b3NOjm6zndz3OBJnqf9epSMuIhvhF7S4Nc4F DW+Y3YbTmDVqvwQfNNt34Rq134OPd/bC92CZPQ2s/QN1o/L1DgeGkAAAAABJRU5ErkJg gg==</item> <item item-id="121">iVBORw0KGgoAAAANSUhEUgAAAIcAAAAvCAYAAADJqNmJAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOYSURBVHhe7Zr9kbMgEIdt4PpIDXbx NmEf6SDV+NfbSYrhXD4UV0CWBAy53zPjzHlmFOFhdyEZFAARIMerzJMahknN9rQbng81DqN6 PO15AMjxAvM0qGHqTguPp3qMgxojhkCOQkiMrr3weD7GoCCQowRKJd9ihiUkO+QQM6spu8Yw YXsYH8tfn87xvSCHEArBeUGDOnsRg44u5DimF8ghQhI1DNThvcjB3w9ySCioNfqSg15xqz0g h4CSFUo9OWw9o1MX7Ve4NObvXXifyW3DMgFcaoEc2VBHpzeNQtSOHP7952mf8khmN9D6czlm 0+aYvR/kyEZebxA5ctAgmggQOZKDukWH3cf0Dqjf3tz2b5+DHLl4M0pC7cihCW2FU320e66R 6Dx40OcghwwaAGnBsVBfjmWmL/ef6TleZDimkVw5yCsjGuTIpXBXVKeManJss5zQz7JthBwt EcvhVg/ukBezacxgr7WGTi32WSRjcVqBHHIKI8dl8IKUnyeAHFJ6k2OBL2VD37yGiMhhQuF5 H9iQVrXQOocvAauOXYdyrONE/SNoe0AOlsOieLn0Qjm2WTG3keN+U8Ptbk++m/vtR/37zyOH LWpyOrnJ+j0Ki3CCdhfTZeQoI5xWqsjhIlJeMZQFbyfkeCtZcuxyOuuYqyKHfq5rkz6WF5m5 HF6upePQzsT1tQ9c+rRSQw4uh/lQiFI5eBF5OHIGIBk5zMBvlbkVYW1r4joJsLaFRTrIsZ81 qb64tOZIyaEHmA2s5Dq/tyNTjp3oH3qckZTD3STVF58qh0k7vL4xslO0OLt+uLcDkYN3codp RUcGPrheJDy7DjnO5SDMQPJZZtDXPjGtuBrCa/de5JPrMTn+9D6H7RQzg405Jnq4/7nONLNs +388uhiOg/ESduavxzR57XFtcc+0x0Hi2PX9u+0E+fORA8SBHCAK5ABRmsvhFcmNgRxSmsqx 1T6QoweoYG85UrFVU3WoWIccMmiwWi7dIUdPLKH+Ejm8ZXcTUyilmW0HyJHNNqOaYOVY926o 5jndU3oDXoSEHAJoV7hZmOdpRZ83kGOR0H1jDTkktFyxBOWoL6c/ASCHiC0fV+cSOfbvBzmE 0MzafihUkQvkoO/S/HeDHGJaRA96hl2hUJ1hfwa5nldx8/hekKMA/W113fjenFCxDTkKabpy qQxPJw7I8QLfIEhMDAJyvAgJ8rYfMrXEFrip4hpygAhK/QIqVTfSvUYTnAAAAABJRU5ErkJg gg==</item> <item item-id="122">iVBORw0KGgoAAAANSUhEUgAAAEkAAAAVCAYAAAAKP8NQAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFeSURBVFhH7ZSBjcUgCIady4Gcx2m6 jMPwVPSsHCgmF/Mu4U9MWiuV/wN1YNrKIClkkBQySAoZJIUIpAeCcxCe9ioqQfQOnI/56b5S 9OByns6FnHEX5o7zaw98vKwXpGZ8s8GUzHVIfW9qrsyPOYTAAZDi15o7KUXwW0iomshVSM0g l1xKJI+y1kOcJhfxG/0bSE846IDig5g4iidaQsIft0E2vQsJu8DH2I7LwnDx8Cuvg3hGG0i0 ZYdOIE2wubFr3SfUdcU8ruz352wU76L+39c3ZbwkARKSX+V+tZOqSWKoGedy7LB8r/BhPBUL CSvx5ZDym1xI7JQlpGX8LPG4YTW+5Lhxhmqucn5lz7H+PP4txcXNn9v67VYnZWHRRi51fwlu 8UFyO4onGpAaIKwuEsYf97m+AVZlzOuq8RfCorXxNtjul58hFE+M32juJBMrg6SQQVLIIClk kLYC+AAqDCfX0DBX8gAAAABJRU5ErkJggg==</item> <item item-id="123">iVBORw0KGgoAAAANSUhEUgAAAFkAAAAXCAYAAABgWeOzAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGpSURBVGhD7ZYBjoQgDAB9Fw/iPb6G z/gYjpYqLRZw01sSs0xicrGc206husXF11mSJ7AkT2BJnsCSPIFXSz52F7dtw8sHutkh+LwW LrcfdLdgjbd4r+TgU7E+Zrch+lR4TzQKuhbk9VyUNd7jpZKPuLtKKkh3e4ooHHt0V0MI3iRr fMA7JWPRLoqNpN070YTgemqUNT6AJOedkecNJJqPQ/4b4uPj2C3yv1F3USdHXK81hUs0xAeI nYwvEjpywZ9FlAY0H4hJ8Kb04S8Q9Rpl/qlkiolxIsRZ432qcdESqszAG5DIsx81o0ke7SyK y4ayZ1jjHe4zGR9Wy+KSqatwiRfNRMlajmreLXI97a8Da1xSSU6ikriA35+8S3InB68V81yy eVxU+QB81I0YrbXGa5hkSLyIld+FZ1H34goTdzIAI+MqNJ+uYW+ojvYxt8Z1SPL5z5Qonz9Y SIm3f2Cy5ATuKMpTCqZ8zyawetQjbo0PuM9klZw0FCJ3OGe+5LfwseT20VySWzySXF5UIJGN DuU4wqVu9B/m4U5eWFiSJ7AkT2BJ/jox/gHJEaWv2UOP8gAAAABJRU5ErkJggg==</item> <item item-id="124">iVBORw0KGgoAAAANSUhEUgAAAHQAAAAXCAYAAADa+mvTAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJmSURBVGhD7ZcBjoQgDEU9lwfyPJzG y3gYlpaipbSIruNkCC8xWQdGfvvbOjv5QVcMQztjGNoZw9DOGIZ2xm7oukx+mti1rLQi1xZ/ rPTC6hcWOwvdZHNz2/518dPs/Ea3CZ7T2RWrl/Uk8g7dnJ/VA6IA7fPfZ/NuPoo0GXVq0l7Y Mfn6fjJGGIpm7l+Ie47c3tDDKEcuip195h0YfaVMfonV5bFiQnnCJXE9Wza7cPEODOFr2DRi yvECuawnR3mH0gN2EXAvDO6cvIMEaIhS8PKzYBI8AjuMG5p1N0GT0Tqyqkeg/yjiBwQB+qgl 45WRUqc2oggtQa+hdCBHM6SIKdzTjW6oVhDWmSd6BLqhAayK0JnFeCD4OxVFN514FIG5HQOG PW2Gok7cb1ytmUhAcmsF2mAojNq0XhhKe09NTpzpEZiGpqpRuxPXeFAgUje+pKXi4Hnf6dB1 OTlXM5R3WPjbscXS0ADtz4tPz9+pHoFtKCbVSDwElYm8Mhb4XqpWuIoqft9QSP5pDGiG0MY+ q00M/dkxH1rjNOkR3DK0HLF3DYUEaMa1G/rYyA1FmiVVdNpBGavahURtDTDXm/XkfNHQ2nde 7lAco7IYKq+QbELZeQJsQ2P86jlX9TBUQ1EEf5hUmwUEXDe0LvI9Q4tY07UHQ3qFKfx7tbgL Q9n70xqzuwZ+tSW31qEVUBQzQ95XOczHcakKfblDO+KeoQH5b4tWbTq8m61xNQy9y21DkzH2 OIhmyVF1/IgBw9gz0j42kuBSHz0w+YehbWzONY7iwRN80NDYfe2jePAEH+/QwbsMQ7vC+z8G FLsU43zplgAAAABJRU5ErkJggg==</item> <item item-id="125">iVBORw0KGgoAAAANSUhEUgAAAOsAAAAtCAYAAABPu5x8AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAT6SURBVHhe7ZyNkYMgEIVTVwqyHqux mRTjsfwo4IJAgAv4vhlmYhSBxz5AzN1rBwAMAcwKwCDArAAMAswKwCDArDd81mVfP/oA1OWz 7uumP4NbJjfrZ1/fr/31XsWnArZlf8OpTdmWNwbDRCY267YvL2FUSkVmFfkXDPvtEQPqUjiY Pozpl8Gf9V1kVsoHr3ZCrGCg9T0wKwstnxcxt4I+iFVM6aPKg4BZOT7r/sZQ3xEaHPHsegfM ykB5sLHUF2h+D8zKsC2vhoGjd6jl5hfNJmYj7Nkzi+wnrGaiwKwXlJlaxw0NCKZeeH0h2Jb8 x5WHAbNeoJmuh3nOGRYTioD2CV7Y1IsxvVntGSwJGTT5ZpXlmPe6fgq5UZYFs0oKdX8SE5vV +lGETImB0C1o9OsKWv5hRoFZEyg0KxnhLsBSrvlBpHlaB42rTfbs/zNUjIMmqwwq2x6w7fRN H6v7ltW1XLN8s+bMBCOOls3N6j2r6iCVATSSYWvHQROzKq77FqYPSvu50KxfapZp1pRRwUMW mpnnP0kJrH+DguwXtGwQB1m65+nAbjLK8lq+ovP5XrMss5a+fxzqHRrMekuTOOhtVmmefmat oZk2q1kWUDIiqMa4x76Ydj46Z/J413kjBIe6x31qD9dOG7vNPUdmItesbl1do3jnvGCWQWLO OX3XKA4SYuQkTwfOrKp9sX5W8Dqo9ik5zWdLg8uAVEczK/pVZrsc52V9ZL1ti7Et3DV243hO QeKpPVcdTuicpYkUMt6uulD5qUHqtcN5FlfnzoFGHR8BTe2ygvuzrmeZreKA7usZKkyODrpe VgyplJCf1cGYitpxfj60dXTWVNLMjX5HMHGRU1FqcKiBurP1Ta+oAnvMQmdnhNMdwSWLFP16 v5btkjvFTJlHCo0UseDngsceePRn7t7N4oDqFGqLoFgHgW0IgzFwtO9COjBaHZfIY9estTTz IldllJmEeHbmeIECppIn/cyaDdMhsq2ccjEDdCF9RuEC1MD3pddHRhdOmwZxQPdNj490HQhe C2MS6z5MLBzf2d/r7+Sh/ZnwjwW1NLtMM6phwqi+GNxofCBuKMTYgpVSBdoN8JFiJKQukHhc oEc16EFGkMbqKs/5/RHoI//aRnGQ9/voGmalMimmEsu1dcg0ay3NmOhXJ68zC33PNcwVTgrg 55UNiItrzHiX+hAKBj0a2x0vOqLfiiEnSJl+FP2wyLrqdlh94gS0uM7+R2buY0GLOBD3ZMwU JkcHr20aNdsxdbQJ6SDbkWHWSpqx0R/6j35upxGm092KSxEscaQwfiV+HWFCvsraBCZ1bVde kF7q6gTs2XeXc3Y/UvLaWD0Osge8VB289vvpru9YHUL3FGbc7Otdc9bQjJ9ZnU61oYpyI0QM ypMTYL+CEBP/yCtA3Tjgd0Fn43vNLmYlJ0cHHDkCpBZKhflLgoEQbcX/tQ1QKw6CK5gJ+VKz w6xJa/gD1/E8Kde0RDVWLUnKBwz8YXiML+OAgvcxTjWUa9Zrx6Yz7jONGYgeFxdgKuY0q3jQ d2dD/TAPt4KBmXRmvcJuiwMwEA8xq5pZ4VUwMs8wK21kBF9HATAGjzArdnTBDExv1tv3xgAM wtxm9X/Ghh85gIGZ16zCqOYHEWe6exkNwO8ypVmPX2P5CethMDCP2GACYAZgVgAGAWYFYBBg VgAGAWYFYAj2/Q/8aUdv8EtYbAAAAABJRU5ErkJggg==</item> <item item-id="126">iVBORw0KGgoAAAANSUhEUgAAAPcAAAAtCAYAAAByKf0aAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAUrSURBVHhe7ZwJDoMgEEV7rh7I83ga L9PDWIZFYRwoIFiX/xKSGjfmMx8QTV8zAOCWwNwA3BSYG4CbAnMDcFNg7sZ8xmEeP3YD7OMz zuNkf4NiYO6Azzy+X/PrPapfFUzD/IazmzINb3SWlcDcC9M8vJSxqVSZW50/YJhpj+pwh8rO 9uHA3IzP+K4yN50Hb3dCzYigbTkwN6PO3DSdH9TYDfqgZkW1j0oPBuZmVJn7M85vDC0doc4T z96lwNyMGnPTOVhI6ws0LgfmZtSYexpeHRPPruDrxT4avdzC37NGMt0umB0VAXMzys1tzNc7 76gDcfV65OuhaSh/XHo4MDej3Nw0kh5htnUEf+QARusaLyxalgBzM/wRMguddOXm1vdx79V5 iblX3+vJ5n7gjGUHMPeC9xGLLpmJdFjS2ddBND194ggGcxeTZ+5kQpEpfiVbzjEXRWvTO+lC /YpnF7swnV7dbKFhbnSZtZjYglnTUs7SkdRruM/cJaPIXXve7uZmz9o2yXUCHmJwY4BiU7XO jS7mNmzXWZzmf87XnRrmmZtO3CRSZo/roytQeM7ZyUnMv0FJ+g+9O+RGkc5lcYuLqPp+PV9x /mK/hpnP3NM8siBr3+3e7n0lzL2hS24cbW51Ns1Y/mXuFhpac7tpCBUniglOnhbQPi60fw3a 585nx7HeRcJc43c5B5IWPr4uRydLRZIv+oZ5YPLF/fZi2pixU25k5M1KRdzM3EaLVLs6wvYN 9WD7xHu4/X5922joOcSc7Nct+rFE4lnAF2oapGNcgthNgTXgdDkHW91WaJ+noRY+HXtb6P6Z SU5185LvM47qPJdAVOf195JQ0npDr9yg6zJzxCmIWxGazJWc81nbB3qYfWtnbraXGES9LY00 DB0SCKgOiohpxIgFb4OwN9hibt57BEu+R6ZiKyfuY+UX0SmUbqTt9XrGnhv3BtvxbPb7HRLv nPR2aO5uuUFaxuquqI5b4RvG4QyfbKvALwzJoIKWUr1aacgy15yoT1KVi+mRvrlCaPSVY8zd DaFRtB6SWKnGPwRqz0Q7cVxsfnxCQi6h8m1Fr9yg6+bnTFncus6bdnIm8q7j9LEBy+cZZB1Y fO563jWJVhpuhiVTYWXslDhSr7SgLq4CnqIVNDf3E4Kjg80op4HElho5qdMRFJrboestGNr/ TfBtolNulH1P38LcdE/Ks8R9U7H6Gi5E4uPHNtJQcIjZKY5EC3SMFHQoqhaHX0cnRFp4Z95f 5TzEksn2/n7iqIY7btZSkOSqXfw/I1weNUrN3SU3TELnq1YQt0Iytxk9hToGCF5RMQw6eNv2 XjzBfdRxot5mq4mGokNy/sEzrAzhggkTQQvkCacDTAp2UZRp5bBsArhyaOwFSe6311JPVvel qMSb/OPDRGyeG8UdYm7csfhsyWordo2gk1jj3uwT9V5poaE8cgcVjEFBSb1LCjonM9kuhxIf f+RnaZsb8qrw3dmv4cbc5PysDovQvUduBejGfAp3M5Qe+J9tS6vciM6IHsBODRdz6+Gchvhi JcPeQibnmH9jxHHTpNqEwv9s++zMDUruxzrbUa/hmVal/kj4jOY6usfnFbg0MDcxqel0MNra xQu4G1wYmDuC+JoBgAsBc4uYkRveBlcG5paghZys14EAnBeYWwAr3uAOwNyMovf8AJwYmNuH f+aIj1LAhYG5HcrY7gOWtfz6eACA8wJzK5av83jB/BxcGJgbgJsCcwNwU2BuAG4KzA3ATYG5 Abgl8/wFVvSLS/xEDqUAAAAASUVORK5CYII=</item> <item item-id="127">iVBORw0KGgoAAAANSUhEUgAAAMUAAAA/CAYAAABQMQyPAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAWrSURBVHhe7Z3h0dsgDEC9QPfIDNmi S3iPbOBp/KubeBiKMDhA7AAyRiLWu/P18vVLgkEPCUyvgxIEIUCk4MY8qmEY1Wxf/izLpJ7D U02Lfc0IkYIR8zioYfx5HTwWNT0H9WRmhkjBBBDiVj54LNOTlRgiBQegZLqrERZOk4JIQc6s xjusIZLw6QeRghgoHW6eJDa4lFEiBSmSJUJ49IdIQQnBWsLscA3RxShVcVhbiBSENA+AZVIj lCf2T267PgY9UVC3SaQgA/boiR5eaSkmLSPL9Qw81HtOunfoECnIqFM/75ZD7jqKeD0bw1/x XOTTrytECioIZ8RlGk2G4ikFZFCR4p6AFCQR+S7bVin0a6ilGDGPtGeiRAoqqJ5iw/e6DAVi 6jKLW7YQKe4KlRQdIFLcFZHiEJHirogUh/yWFDDQZ7fTTJ1L2ylNECkO+RkpzH55tUHm+Y9P qvJ6qOHxsi8En9fjj/r7z74goIoUVx1XYHkMoRaSKQ7pP1NcPLgcDohdQoV+232KfeLiQudS tHgk/6PHqyVTHNK1FK2OCfAvo9Y10PZQLAeR4pCOpWg5g3POFtA2W4KIFFXoV4rGg8p9bQHZ TKSoQ7dSFAUpBIC3oAuvzA7Qn8G5hGIphd/vHQnYqRTvk5ZJttOg+j2jCxpEOUR41DoHdlL4 p3Dtwb9etrc7lQJT40dSFAc453UFPymWeQ7aUtw+QvqUAjVr66D2Z67i90N2aieFeUK/lXg7 VxTQ7NcU8H0iRRZ4KUoHNE7niAGi7qxvFEvR+JgHtK+X8qnPYx6YWU6/ZxsUkQLXh2gw5Sod fWaK4gFdH25tbwEp7PpgmabskoizFKbcYirFPPJdi+1xDyng96NFsqvZS1I6TylgA8BbaxRs MbeQAjJYI/eq0YcUcVA3nOV8OGeKYlr0of6OYNLRr2kEWSuF3EzacpxN2WsnNNc3IgUVF/eh P9jvi6KM8jIpNymCuF7bCUOSJ0W8MCb6BzLUuxJV8XfjugK3NZ6/EQGf30KKaJ0LgCS6jZlr illNURqWTHES5A4cPfylgO9KrlXNZk/0PfZnVorVmjDFurS30wFMpQhLheOLB7nbpP7YcDiq cbUUEHflnw+4kjGrj4LSyWFj3r7SrJ3vx/phEIoUFciZEaPfMTNZlPKbc7EUiAyK2cnMlEID v7g16MtMlilFHIypK0Wr8mmvbZgrRfKksRm4z89tnS1Kj7zskS2Fvufc+3PtQk0Se1LYSSca OS9b6DcdflmmFLXpek3hOtzvt1Q/wt8XzprXc22mSE4UDtefWCnM+6N4sj/7mM7Wxmshvt04 UymC2evLxYdE/Qz9jKyvr+NKKXDrCVT5ZO4jFMq1cSdCbF31LeiZbsnGwX90cQIG9Hgw14EL gkmL0rp8CsFJYQI3IQUE5Zl7M0Gtxzf7M4JMvMY9hP1uhLj/v+AQppmiT1Kzo52k3EXQ7yGl UkTtPzwGk+qHfErkciLB5bp2P1Ok0pxIURUzMOTBTkv2WqIBH1LAACUbJ1JUh1NQtKZkZm/B JsWWRnJGBiVFmEYxAUAvxfl7+MYdxeAmBIBbdRZLEdahTsDSAKCVos49pDALUnY7Thdgt1S5 CQHgpIAbKomGeYqC2e6qFItFKEWVexB6AC9FajGewMyIPUmxQ/k9CD2AkwJq61NSrLNsWTzV 27KrA+YehB5ASnFy1sZkmgrZqSrc2iNUAynFWjpgZ0nUglkv7jktyn55e/juoKWAIMXU07Br g5GJ03Yl9h6EPsBLganx49lelyB5/9k/o/UE+h6EXjghxTp7Z5c0kFnsQ6/3lRfobB7wnLgH oR9OSZE7g7sHXR9XVg3CI0ucuwehJ05KYYPlwsDgtJYQ7sFpKYCrApdN2STciipSALXFECEE KqpJAYAYpxee8FBM1+oihEBFVSkEoX+U+g+QjzslJjR6xwAAAABJRU5ErkJggg==</item> <item item-id="128">iVBORw0KGgoAAAANSUhEUgAAAQIAAAAtCAYAAABFwmUHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAXwSURBVHhe7ZyNlasgEIVTzqshHbxG 7ON1YDU2k2J8DKgBnCEMAhuX+53jnvwYYIY7VzRuHisAYHhgBCeWdXo81gezTcu2CwA3ZJl4 XT+MsGEEJ8gIJvMXgAFYJhgBD4wADASMQKK/EbzmaZ1f2xNQxmteZ7i3HhiBhNYIXuv8NOdZ z9k8KsBMxBMuUIVlesJQtcAIJDRGQPtuF1yKjMB83kwCqIUx5anQkEcFRiChPzV4zc8iI6DP wQcqY4SNnCqAEUj0MgI6peh7LWIMzPyVnqaNCIxAopMRvOb12frQNeTRkQwW1wqygRFI9DEC +kzri4R0A8l4RtAnt78GGIFEHyOgIm0pVjumSxcy74uNfUQHLAFGINHDCNxXji21+notzfv4 Wkjcg5lfMTACiR5GQH20Po9tbzZfC11/Uc7hsMAIJPRGYP+ZQ2MEVqh6IxD/aYS2U8WPbgS4 YJgFjEBCYwS0r1+QmeLrIlQYAYwgg2tGoD9qOuLC8Td/4krbr0GHvin5MIIE0hxkzo01gtqx 52pXi2u3bKwX80QUG4EV8bVCOZ9TO9EGCf0xV1cksZQuRkDdbEK904WzT/rK0UUTI3BkaVdF oRHUyBNRZgRckeiPPOzFtW3ygq/U7GuNi/JEByPInaRu0Bz2zjNHpr4+6UKVX13s2dptSqU8 ESVGwH/3rXc0/iq7aydu3+77sXGXhKsrFce/9c/jj/nbEBgBi0ZfSV30NgJBu62olidi+Wvq xmzu2V5IfjG5hsPncXL3feLPpuGSaV/jJi/H1apCMbXuj8uljz8fPQSmNYJwfKHQovfYed7f 9/tU6iulC5VmdLGrtBvBx+5idCncH3s5PBVxxTxZ6LNmVbA9M7jO/X6D/++WzklsR2cnShEm hBl8gJ+oPJJfs9GWbMwlRtFdAedcv6H3vLwX5FePphiisVtd7ON1772Nyz0/Codi8YroNc/v PtX6SuiC2oqKVUYTOw1Ho10PNvZ3AU/L+/GRzyC3GzXzZHF6D08NggSaHYKBUwI0A5CxbUUT tSdYWvL0WnbtiUmF8xaAvH2CX94Z7ESf26sdf7FZpoqME6mvj+0x17ZeXwld0DgSgrxyoNBp 10OKncnPsYt9HhpB1TxZnN4jxXpub5LpN6ofgAyXzL3vcx/fZwRqthz5IrA54JKWKrRm5B8V +blz8BqJ5m/PBZcPlb5kXVBb+XopWBHkaJeZ8+M1/3U/vjhWJvaaeXI4vZ8OXS5QYwJxcji3 J8QByPDJpC4oSdFSaAtE0/73nxoYKG9cQUl5boqiGFLjs+/FcyXMX7yvWl+yLnQ/WVbDCKhP 0lZmv37sfnxxrFzsFfPkcHpn1rDug+diodeZQMUByHDJdE7H9Gvbz5+o63T41sAiCXA7uvj5 MZPfdkWkKQZGH2aOJju+bezefAVzbfbzf2CUiucdl1Jfoi5MO5zBilw3AlG7PlLsfnxxrGzs tfK0EX5rECL9qm44cTv75IcCcAOWXhM2JpE2yczrIWcBlkNjrNFOBqbA+dCiPH2M/yq6YjiN LygMXw/Re5tYj/eiuDT6EnWhNs3c2PXaDWBjl9o0hb74+4eFXyVPO7TCMO/zKwLRUWngjBsl uPZT3dRfp6I86NmnmTz82KZHrr7kOVqm3nr5Ca7n6UAyAnKQpLlZZ8s1g1y35aAgmKVOczKS VxOTT/wev8dHfSV0Ia6wfiFX8uQTG0HWec5BTrGQCeQaRkznYgzQ9O2SvS/pSkWI3+OPkeYg MTdUGMO4wE5BnmLkU4PRyU1iuNrZjXQ4LYJ7AyOQyDSCxSzpg6P4drEGTgDuBIxAQrGsiqCr uTACcCtgBBKlRuBWBPABcCtgBBKFRkAXq1Q3sgDwBcAIJMqMAFf+wS2BEUjojeDjvRcAfCsw AgmlEZhEBrd74gYhcCdgBBIKI6AkejcUua3g+gIAPwWMQCLPCI47MeMN5wjgTsAIJMouFgJw S2AEEjACMBAwAgkYARgIGIEEGQFz7m82nP6DO2NvgWd0DSMAABjW9T8NfBMoz4fuCQAAAABJ RU5ErkJggg==</item> <item item-id="129">iVBORw0KGgoAAAANSUhEUgAAALkAAAA/CAYAAAC8RGmZAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAATQSURBVHhe7Z3rsaQgEEZNYPO4MZjF JmEeNwOj8ddmYjAsDTgDDiqMNo34nSpry6syAoemfcxspwBonHoknwbVdYOa3GqzzKPqu16N s1sH7FQh+TR0qhua19tjVmPfqR6mF0FcchL8UX57zGMP0QsgKzmlKE813PHkQV4KQcknNTwh Bz8E7cCNmOQ0VSOCWZC28CIkOaJXCNqDExnJBXJxcwenWy0VTSXIzfkQkbx4h86jGigdcP9W mR7ogY+UhQcByekesdDDEC35qAdXldcD9JCoH3XrgKsRkPya/DOafizLlsE6WtKmOi96kZdz UV5ywYg1j4OZQeqUnGY4SM6BjOQihr3TJCu5XqfcpSKmAe+0cFBecqmnnPS5ywxCA02nNbVF c0jOw3MkvwGQnAdIXhGQnAdIXhGQnAdIXhGQnIfykv/+qO7n160An9+fP+rvP7cCLgORvCIQ yXm4peTRp5wnllqA5DwgklcEJOfhpOT2C7mvhywpQPJNIDkPJySnF4rclA/JLwGS83A6XaH3 QCD5NUByHtqUnD5jmWVuNKAgOQ/tSe6/5ehexLrLN24gOQ/NST5PU3Au2ecnCCTn4UPy3W/c 0LIStPqcnD4Pkj+a8pG88GN9Or+7pCt4rM9DmxeeLyY13CSKE4jkPJyW3KQ3lUo+Dff6ziQk 5+GE5N7DILMkdlAhyWmGKZn6XwEk5+F0JM+mhOT6M4I8XK/LCJ/32kNtkptU1AWxnPZ7HxfO pPvlhUEz9nn+TZGc66zmJPcb8r1IpC35rz1UJTn106vdbF2Ou22pc6S9d8uj9fcxtg/DMozg rwPs8amil5dc7CcpzvLd76KYDkuS/P2TGfLYGSjoJpJ0tx5O8GjfHpQ3z6tyqSyvLcxDvVXb B4NmHxnJEyNbXTxIciPV6lxif/OwqcRG++SWR9v8ERET2hyfMrtISK5PNe22nh39S8ohf6+b W/JwyhYlGiVtpI5LZbf142ijuVm843PKI3nX7WWOjw2SaiVPiVirfTIqxAez5LHOjZD7RPor ciU3+2vJ9fnbzUuAcmUklmdz8aUu/v5236AdY+JvEEj+/oBzyxHUUbt94RptvZSO5lcIlSy5 rnOJ+iXVKSblXqCJ7e/60OyfWd4ie9Aebv/gXD8GThz+SL6cnF8bqnS0tRy0PUWMovBG8sOB XxLTZ7H0YCNyxiTWa69InVueaeu9oHa0PUQgXSGoAXaEiTaaNJySH7SHR5F0xUnkF7Vfj8/U I5Q4tzxbz62qpAaOBSHJbSWORmpQES1+iel8m+8kN1IedAh1mmzdIgSzaUTiFUY8b6CaevsH 5JRHAyTaZs6LzAAoJrmt6N7J2oa4NkKdIVfy1flvTs1H7SCHFdeef9j8kSCkCWaZSH9tlmdm bu/YteBmVrDbvgkGgpK7SovLK8vetAyuQVRy4smdXGWa0iCJkodT79VSPlF0CF6OBMnDXHTJ qzhEr++OCgMuv4Tg5TiWfBpXF0zuogOJJLgJX+XkJupCcnATvpDcRnI4Du5CvuSbN+oBqJNs yfE9RHA3siSnOytIU8DdSJd8/e6ITlsq+w+NAYiSJvn63QKzPOCeNmiCQ8mXhz8fC/IWcBOy LzwBuBuQHDQPJAfNA8lB80By0DhK/QcXj2dJojGQ2QAAAABJRU5ErkJggg==</item> <item item-id="130" content-encoding="gzip">H4sIAAAAAAAA/2xTXW8SURCduwu7sKVQoB9ga9fSCiyofEjVx2vTaJMaTfqoJnULa4tJBelq qi/uL/DNZ1/8CcZnje/+JZw7d5by4CWzOXP2zJlhsjcDAALDx3AIm/hMBe+OgtPh6G0C1NnD SA9Gfc2ZxD1WsvP+s5M3QT8kBl5RvYFP6+JsvDe61PRzDBuJo5nwBUYb49cawGfs/ql0lauz bOmhDDBMAoVZ84dhOBmevA8DrTzAyMH8SciDynxuQJIsEuEkCEpESYzFMUFLyvJvgChpS/kN gbRSDOw0g5TDIL0gpYHNQtyTIcQuZKT8eojFDizqNz8yAKYwOuq/ZHVVlM5JqUaUWSSXNI6y 1DwvpfMHs1RBA5kvSln4i6CwrA0HRdXqI6xI+QUHjoqwyjUra6xYVYoQSjwBpaKr7MvaLCpc Y2lZm62zWRk22Gz9Ois2tNkmm1Eq2jSsy275G6x1tdsWu7lQYbetbVZUtNsOr6kCN9l352pN 6lR5VXaNN12tM6h5uuJDnSdp6PxnnEOTa2u3eM1NNLzNa26S/R3OqpS1uMBqc49Wh0G7y3N3 cDzj5Rju8riduFmPa9u73KyHhvfYvkf293XN95b+7/CA7kNu0D0+nfjjs+PXo8m5HyZJu62u FdH7fujrXdRnny0eky/nJhOCMse/HF48Ih99FRvqcxOs1Td2ij8QjacxC/Psk/+wsbkdTvx+ 0N2n/uCx0BVLIDwxVUgID3tMXWEIz6R3JjJTxSRQA1MESeEZkcRXVqyxSYMgpTRKnEYNdnaF gxoqX1DOqjyDGipfVBpVlSUNglzcnYf/BwAA//8DAPRYmLfABAAA</item> <item item-id="131">iVBORw0KGgoAAAANSUhEUgAAAU8AAAC6CAYAAAAu5c/sAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABFnSURBVHhe7Z0LlqIwEEVnXS7I9bga N+NinBQSDZBACKGoev1un5zRHj95VHI7oOK/NyGEkN1QnoQQ0gDlSQghDVCehBDSAOVJCCEN UJ6EENIA5UkIIQ1QnoQQ0gDlSQghDVCehBDSAOVJCCENUJ6EENIA5UkIIQ1QnoQQ0gDlSQgh DVCehBDSAOWpxL9//9jY2BSaFpSnEppF1SQM1/ESFqi5BOSaUZ6AUJ6+oDz9QXmCQnn6gvL0 B+UJCuXpC8rTH5QnKJSnLyhPf1CeoFCevqA8/UF5gkJ5+oLy9AflCQrl6QvK0x+UJyiUpy8o T39QnqBQnr6gPP1BeYJCefqC8vQH5QkK5ekLytMflCcolKcvKE9/UJ6gUJ6+oDz9QXmCQnn6 gvL0B+UJCuXpC8rTH5QnKJSnLyhPf1CeoFCevqA8/UF5gkJ5+oLy9AflCQrl6QvK0x+UJyiU py8oT39QnqBQnr6gPP1BeYJCeR5Att2R1gDl6Q/KE5Q/Kc9UYEdbK7nHam0gUJ59wNyKBoGS ZyqUreaUhWBy2UrNOJRnHzC3okHcyDOVwFobQZ6ITeS2VdoMQHn2AXMrGsSUPNPJnGs7oDx3 ktvesSlBefah6zO9Hrf37fEarzXwvA/hh3Z/jr/s8LgGuESe8pyl1gnkiahKrkaxdQa5Zi7l KYJLhTcQZDj/VZHX432LN5bLYSOkwnzep9e9cWpR4ySbNwUoz5PJ1TW2RijPPvR5JlkxZiwp wquV5+v5fKdqHGR8e0x+t+fxrNGlqOnESduFUJ4XkRsH0iqgPPuw8UzP9z10Rjr07989XAuM q8Lv9aC3x20ptUF+8b4zCVYhQp7fT5675bEMsKuocttSM0ao7ngJC5e5KscLcs0MyTMwyPL2 TveYX4/77/rw/1GkP16vZ1aqteSPc4rMp33xQrGo6UBPmxMoT+NkxhZyzWzJMzA9nhlWmvdk 9ZdbIQ7kV6R1BEl2f8yLmQ3gSXMM8kSEBGz8pZiU52TFN38R6AR5Pu/LlewHv/KUoqbjdd68 Qnn6Y5ItNxilOURyGZRn0NbwAk4QZ2gTd3WWpzxP+T7e5dlW2JrxHG8zb2eDKhnUXMJmtisG Ugckl0l5flafmbcLFY55NokuiHjy+PNVbroCdkaUp2pxK8Z9zW3W2JyITkHNJezOFgdJ2gwi uYzKUzyZvFD0pSxJeWvRIIzJyvQj4flqdfLq/LfNpAzwanv81wvS3dW2dyI6ATWXcDhbbiAY QHJpzq8dzxQk+SgsI4u77mVej0dmtbqO3fd5fv6ADMIvbIe0qN4EukZpIkrErZjxNjW31aaU C4Hu2eaFvKiYksumPBe70FOmr8iv8RHN3k8LWf6EUdq30naYyxNFoL0momyOtK1Rc5ujdBeM IU7PlhZSo1gjksuUPL+73jVinB+z7IQIyao4h0MJk8MLclhieQx4XlQUgcqAtYZs1rVWg8Vc vVDP1lqEnUguU/IkGywOWeSPAeeKSnnaIp3XlOeJxA2dtg5Qns5Y7qaX5Zn9Kf2eP/Z+krme bfxp+sltzOYfub8Ses8Eyh555hjkqVjw3siARaR3LinxVpnjbWpuewTzNZtviMqNIbkoT08c 2G2PUJ72sJAremNreNTcJsVdzdINsRKW8vTG/AWjwocGPAtyDcrTB6l3cm2NmtuoknY86Zgd ec47qNUcMn+rUu6dAZSnL1BzCb2zzafwvK2x5zalll7hytMdn111KVzpLV2Upy9QcwnINaM8 AaE8fUF5+mJYuMgP5YnHnqIOA8GJbBEnooCaS0DLFufL8KM4b3BHiDH2FjUOCOvIgEUENZeA lC2dJ5JLc87gjhBjtBSV8rwO1FwCSrZUnILkojwBaZWn5mBoAWUizkHNJSBky80NyaU5X3BH iDFai5obJJZAmIg5UHMJCNlyc0JyUZ6AHCmqZYGiSgY1l4BcM7fyPH7quOT9kslHHk2fkq6S o0W1KlAZsIig5hKQa+ZSnssTZAQ2TqA8Z+2kwpZPhlxDj6JSnnpQnv7wKU85OUbGkiK8anlW nFR41+MZo1dRrQmU8vQH5dmHjWcav6xtaKPIBskl1wtnERpWjvG+Nd9vVHN2InnumscySK+i ag6OGkJ1x0tYoOYSvGWLHtlCcmnOj+1nGmQ5/brfybdoFs4i9Ho9s1Itsdztz0nZ91cPI4Iq GdRcgrdstXPHnjwDU7EFqd2T1d9ixRjJr0hL1Mlz32NagvL0BeVpA5k3ruU5WfHNXwTqJM+q 3XbK0xyokkHNJXjJtkecguQyKM+gLVkZ3oI4Q5u4q5c857v/2cMBlKc1UCWDmkvwkG2vOAXJ ZVKen9Vn5u1ChWOeLaLbPqkwj3nmuFLMqJJBzSVYz9YiTkFyGZWnCC15oehLWZIiw2FDTFam 4yv4K6vV4T65BxRRZ+9nnzOLOmyvEx9/jfDM4yUsUHMJlrMdGcuSS3Me7HimILZHYRlZ3HUv 83o8MqvVdfg+zzJHBt0RLE/EI6DmEixnOzKGJZdNec5fKJqxfLW8xGd1uffTQukuvUc0ikp5 9oPy1Ofo+DUnz++ud40Yg2DPEFz++KcvtIqqLVCrE/EoqLkEi9kGxxwcu5JLc/zjjhBjqBZV dQBhDiHUXAJyzShPQLTlqfV8yBMRFeSaUZ6AaBZV0BIo8kREBblmlCcg2vIUNASKPBFRQa4Z 5QnIFfIUKM82KM9zOWNcmpGn9GGtrbHnNmlD5ip5ng3l6Y+rs501F8zIk/SF8vQF5XkOMg8o T7ILytMXqLmEq7KdKU5BclGegFCevkDNJVyR7WxxCpKL8gTEkjx79gVVMqi5BO1sGuIUJBfl CYg1efbqj/ZE1AI1l6CZredY20Jyac4z3BFiDM2i1tBrUGtORE1Qcwla2XqNsVokl+7zERU0 i1oL5VkGNZeglU17zFOeoFiUp3C0X5SnPzSyXTHeXctT/dRxw1eA5L6WIzkjfXKS5itPbWdV nsKRvmlMxCtAzSUg18ylPLMnQ944gfIh5Oz1IseMPOffhZT266qTKluXZ2v/kCciKsg18ydP EVnGkud/bUbmC+EWX0gnt5l+Qd35/VpiWZ5Cq0CRJyIqyDUzJM/xy9qGNgpokFNyfdxFnsto WPHF+572pW0ZeYrIJ8+X6d8FXySnWdRWYr32EO4xXsICNZeAXDPNebb9TJnjipNv0Vys9D68 Xs+sVPuylOfy8EFO7hnpnowHeQp7BYo8EVHpnW3vmDkLyaXZj6pnmgopyOierNoWK71IfkXa l1Z5avRtioXBdQaokkHNJfTMZkWcguQyJ8+JpOYvAnWS5/eL5nKt+CCNu+2UZzdCdcZLWKDm Enpli/PTCpJLsz/VzzSs6G5BnKFNnGNs5bk4jJA9rEB59gJVMqi5hB7ZrIlTkFwm5fkRVeZt PoVjnpfJMzB/q9LyrUn5+52JZ3mu9R1VMqi5hKPZLIpTkFxG5SkiSl4o+lKW5HdXfLIy/Ug4 v1rdwSDt8fFDmz7/p0/D/+U6Jvc9+vw70Sxqb+I2zhH+Z7yEBWou4Ui2tbFwNZJLs287nikI 6VFYRhZ33cu8Ho/MalUHvs9zP6VJc2QiWgY1l9CarTQGrCC5NPtX/0zzF4pmLF/lLvFZFV7x KR8h3aXXxPKgqyU3eVononVQcwkt2XK1t4bk0uzj5jN9d71rxBgEe5UUa8gf/9TB+sCrZT6J ZMAigppLaMnmYfxKLs1+4o4QY6DIU0gFiioZ1FwCcs0oT0CQ5ClEgSJPRFSQa0Z5AoImTyEK FBHK0x+UJyiwkgEV6F+Wp9eaSi7NfuOOEGMgCkZAlQxqLmEtm+dxakae0omjbY29t/cOar5Q ufESFqi5hFw2hDkouTQz4I4QY1CevkDNJcyzIYhTkFyUJyB/SZ4oExGVNBuKOAXJRXkC8pfk KXiflKVcCMRs3ms0R3Jp5sEdIcZAGqQpa5LxPDnXcnknSgZtTMZcWuCOEGOgDdSIDNg1vE7S rVye8VqTLaRmmrlwR4gxEAerUCMZj5O1JpdHhlqgZpMfyhOPvyxPwZtAUQUjoGaTXJQnIH9d nhEvEkUVjICaTXJRnoBQnj88CBRVMAJqNslFeQJCeU6hPM9l7Q+U92wlJBflCQjl6QvPudbE KSDXjPIEhPL0hcdcW9KMINeM8gSE8tymdvJr4E0we7adt2y1SC7N8YO5FQ1iRQq96T0R90jg TLwIJm6vPdvMS7a9SC7NsYO5FQ1iQQhncMZEbBFCb87I1ZvWbeQhWwuSS3PMYG5Fg1wpgjM5 cyK2yqEHlgVzdLtYznYEyaU5XjC3okGuksDZaEzEo7JoAVUwAmo2yUV5AkJ5HiMKVGs7auW6 AtRskovyBITy7IOWRLVz5Tgrp4VsZyC5zh4XKZhb0SCaRdUEeSJeRZTmWWMGuWaUJyCUpy+u yHW2NCPINaM8AaE8z6enfDRz9ex3DZrZNJFcWttQwNyKBtEsqiYWJ2IPGZ2dq0cfWzk721VI Ls3tibkVz+D1eN/+3d6P13j9y+v9uI0T4fYI1/JcMUk0sD4Ro6Biq+WsXC196c1Z2a5Gcmlu V8yt2JvnfRzwS3k+7//et/GXr8ft/e/+HC7PuXKynImniRillbYSnnLtBTWb5FqraW9wR0h3 nu/7XJ7DavQe/icit0mv/9AsqiaeJ2IPeUYJz5tlQg/HS1hILs1tj7kVTyEjT1mRTnbVP7vw ucWn9QnVCuxETES41bwRej1ewkJyadYDcys2MJ8Qsf1YynO5m74uTzY2tvObFpRnNcfkSQjB gvKs5thuOyEEC8qzmow85y8YLV5AIoSgQnlWk5FnYP5WpXiZEIIN5VnDsKL8HZCe7pYnb5Ln /johfwbKU5VEtCufRrJFbZ+T2yXt9/dEVu7j761kL35qbMnw4uCi/1uZL+L7oY7QtjpTc9vv 4qFuW53GnlzCZn3ze5O1UJ6K1H4ayRLVfX4+ZoNQBmY8/vuRTLyrPObl2b8TsWbyhCy5/q5m vggRRuzrKL3yoaQ0l/R9Kf7PH42LpTmw3dcJFfUdxiHl6YBhIKcTy8BE2+JIn2XwxtEtlyer TXkcIxOyph8LSRZIM1/E6/mcrOoH+ZVW+q/X5Pcik0n3BwEZGaNbfc2yUt+Q7R62FVeeHlgI ZLoaM8mBPqeDezmBrWSvmTzJrnlJQiN1E1qZRQ3zLPcqxhrdRaCf/Fayre4BTSjVN/x+uD/l 6YLi4DQyIHO091kGZbJiWaxgPMnzx/pu3iyzEaSG6+8ASf44pAUZ9zpkdfa5GsbC5fkKfS2S r+8z/EH43JvydMGfkqfIMr3R4tjbsUHbj/39WG6TkXlmE4R8FavOgXmNFitW2VZGxutiPJXI 1Dfk+mU4Ng4pTy0Wg9G+PFv7nN19lceSFUNstZP6VBomj0zcTN8t7rL/Vlh1TP4wGB+vxT9i E+b1/WSYjMOxteSiPLUYd4O+NZpft0hTn2XArt/Gjmga5bno/HZmbUQuu7exCDPeaVFrEU/7 Kq07aV+LbNW3of4JlKciIo24qyGDe3u343p293l1UH/+8tvJvX/yPO+Z21dNZEVCfybbOFzf 7t5cjuMqLd5RMprYWxBqRU55AjEOSNlVsDTZVin1efz9bEKt77K3D9TuDCurMVdovz7PchVv 98PSLvuwO5v099PiCnKabXrbXG1ELvPHuIb1vmbGYkXdKE9CCLkAypMQQhqgPAkhpAHKkxBC GqA8CSGkAcqTEEIaoDwJIaQBypMQQhqgPAkhpAHKkxBCGqA8CSGkAcqTEEIaoDwJIaQBypOQ NapO50b+IpQnIStYOt0csQXlSUiByTkkzZwImFiB8iSkwOv1HE6yy5UnyUF5ElLkc4ZyypPk oDwJKUJ5kjKUJyFFKE9ShvIkpAjlScpQnoSsIG9V4qvtJAflSQghDVCehBDSAOVJCCENUJ6E ELKb9/s/Q8uHP15l20AAAAAASUVORK5CYII=</item> <item item-id="132">iVBORw0KGgoAAAANSUhEUgAAAEMAAAAXCAYAAABQ1fKSAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFCSURBVFhH7ZYJDoQgDEU5FwfiPJyG y3iYTtlkEbEKuEx4CYkztYZ+fqsMJitTjIgpRsQUI2KKEbGKoQQDxqIllIvkMQEh8mUWkBzr 4RKvLKkzFgkcC+bShwNakNL/30SB8Ie7K4ZGCbyJQ1K3Filyyr+wSH4gxsY++ncmzq24/Qxo T4IYiGsXYwZ0Srk9/CZTq9Foye0HTQzEDE10BN85kXiGmIeeaKPW3DDMC+vEs8hieHcUXWFi sUh6IBFt3JLbGboYZpOuVXL0kE3sbW1POpSW3M50EWNrbXpBLbmaZ9rkpWL0xM7FAzHMhmtq 39omNt731WoPOtRoPx0qzqiQD8HNUKzQkjuYa2Ig+eux/C1SpiV3JJfFwDKcfXEVPe6smLSE 5yj3GRrEoLFI+YoWoDBQDHv6b2kBCsOd8SWmGCsAP9sIpniGVYh/AAAAAElFTkSuQmCC</item> <item item-id="133">iVBORw0KGgoAAAANSUhEUgAAAE8AAAAXCAYAAABK6RIcAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFnSURBVFhH7ZiBDYQgDEWZi4GYh2lc hmF6pYCCIhY51CgvMTmlIfj4gDkBg9MMeQ0MeQ0MeQ0MeQ3M8iYlQIjoUpNvWbcpWFq+hAEt 8f2lxl+ONHlGg0RBUofmBSsw9/wbTKBCeHblWSaFRRIST1ZqlMSvYrQ8kLeJp71fyXw0fvwd theGPMQvXwobJnF3uVJdjdgo/vMSCC8b7jk198CTh9AhgYmTezNIy9u+UH0qqe/kQNr2wanh kB52matiO2LLC+krHxI2JY3ycBJy4+fUXA1fnl8+5UE3yiscRJyaq3mOPLslFPYvTg0H6ics 0dxVMTHPklcYPKfmatyYDuSR4TAzxcH/Ydli/3sf5Uc1eXp8qrggLU7cOxeSx6FRnruhAa3n h1NzN/fLQ1zS0344NXdzXp5fTiHK21T4qCcb/ir+vo1Exc/jK1vzDImNyTvGaI3K3klHeW7j fvM/Md2T92aGvNMA/AAeLoJ1DBsiVAAAAABJRU5ErkJggg==</item> <item item-id="134">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAYCAYAAABDX1s+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFwSURBVFhH7ZZRssIgDEVZFwtiPayG zbAYHpBECOQpY1qrU85MP6ykhcMNatKGsYUMbCEDW8jAFjKwhQzcWkj0Nhlj6uUC3LuvkOCy CJfAQ0gOpdxUSEzetlRUiiDrZyHBQYT6GNVo5cERPl4ALKDtqJLokzU2+X5BeI8JqTIeCy+T KEUwGcuqCZpoX7eKplYJaxcC2qYT0vqoEZJ3braJFIEkqqaIFz9FW0spFq9Xz1oSIsUow1PT Ucf3Dy0PXIy0pvYIJCF1TpOQcVIYa8k4HkJNFIxd2mhN7RFIm4/3hpaRBsnnxxzz9UVpagvq lhHeRz8c86H6GAVFxvl8jtBuZmn4/ZVCDoGlFM6P8n4mpMDsU0HtuXKvS9BHWwY35+Bzpm4M rpXePQlZZjxzxDPoHzS1J/O+kExJU//TKf9XkdHUnolKSF4KRjlfYt6hN3l7EK9qr0EpZI3o /Ve0wwonC4EUfEs7rPCRhPwSWwgjpT+zCf0k8Zr6kwAAAABJRU5ErkJggg==</item> <item item-id="135">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAYCAYAAABDX1s+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFQSURBVFhH7ZWNEYMgDEaZi4GYJ9Ow DMPQBEgLUVBaivbKu+OuPyrw+BKVXxQsIYIlRLCECJYQwRIi+HMhzoNWXmnAT5E/FmK9USiD xhLywoFuC7EmWcNhbPxN3jSfFG1l8FzH0hQSZDz/pEVoDy4uRkNFhwOvFV2Xvp+GN5nPOZ+G kFhTnIqI9WBMfcPWpDT1CyH5LDksqpy4SZ7i3dHxrLqQykmXqdmDRHYKCXPl8adnjC+HMxwI kYtKsW4af0MIJauQHOfpONhhHJSM2FiQ1OgfgX4h2xLpEzKnZJAw0fNhnA7APsI34OY3k80X MhLZEgohRGGfL2w2zxklkw5naJ+hdWd7TXvYCOnnDSGyX+32r2u4RghCScxfu+0+NY/PhKSm y7HbRj7FsigPhssAxxXNo8KAhBzjAG5RDmf4spCYgruUwxmmJOSXWEIKvH8AJrUp1yTTDfMA AAAASUVORK5CYII=</item> <item item-id="136">iVBORw0KGgoAAAANSUhEUgAAAEIAAAAYCAYAAABOQSt5AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFOSURBVFhH7ZXtEYMgDIaZi4GYh2lc hmFSCOEavpQ2olfLc8cPq7Hw8AYVLJAlglgiiCWCWCKIJYKoRWwGlFJsGNjo1pPJRZAEw1a+ mf+QkYlwVoPiFgLOglYarKPrh5KJwN0vRYSUaAv3eXBg9fxUdkRsYNIZ0ZWQJrj3TA9JrRxM flpfGH7Nx4notEZ4VtOPzZbaQVqbLaIcR+8q14Pnop8DXSJNER6cLN85fBmPakjQYHQltSfz ljooIlpjk63OjRj1oY2V1J5Eag38T0ki6jiPL0ZSGxC3RmtTmyL8y1L/IhjlfKJ3ipCC/8/O iHTdTES8+bZcTfLS1oj3z/t8si+iH9oY3OixM6KkPPCqA3AHSe1EvhPhCc/yT2DWTgdIamfB RMQIjk8qRbYnjyKYtUHiqPZ6skTMwFl7e+xHmCji04Tdy/RE/ApLBALwAilUK3sF9KgOAAAA AElFTkSuQmCC</item> <item item-id="137">iVBORw0KGgoAAAANSUhEUgAAAEMAAAAYCAYAAAChg0BHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFbSURBVFhH7ZXhEYMgDEaZi4GYh2lc hmFSExIvaLBoRdse784fSgvk+QUdDBaGDMWQoRgyFEOGYshQbGVMAZxz6gow8dA/kaJfagxc YCmDRcggMoU/FEJ1Sk0TBK65kEG2tAkkRfDOQ0x8//MkiL584STHx1IGpWAtg3/4nIu8+cvS ab1cflaRkaNDPbUn4nRqpMA38/egaBGB6+U7wkxGrWA+X9wJGbiO5z+ZrblDPsN2rndzfSRj hjZsvkGc5KAMkqs3g3Nc1AItWDJoT40ybJvICRk4VyHWONB6YiWdn92ejG1bHJPxcZsY60l9 WxnzhNLPBEfIXuN+GZdQpBNryOubyaANi+mqCOSONsnjl31aGV2jrN12ZlQ5IWN9gK7vH+R+ GTO4jv60Fm35IEpGjmPzxvgsqbdS7kX74JXoH5XflyIZPUgxfkULtNBRxsGkfQHdk/FLDBkL AC+t4ZTBTAyObAAAAABJRU5ErkJggg==</item> <item item-id="138">iVBORw0KGgoAAAANSUhEUgAAAK8AAAAYCAYAAACMXa24AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKnSURBVHhe7ZfrlYUgDISty4Ksh2ps xmLYJEZFeQgoXHDzncOPuxrJjAO4gxaETpHwCt0i4RW6RcIrdIuEV+gWCa/QLafwztOgh8E9 RrXwXcJbfMbvebr0P+mZL5XkEt7rpLOesJmpRiv/j0/4zcE1W14XZfkAG+FdtFIXKys18T9p 1W/oa4zvYVGjvdgWpcdh1KUPD/83L6+oL3wumMfz5jOZPip4VY3QjN9p4SVvr+FFLRW89YQX BUBTzgb4GoYhucH42i1sd+MOMnefC+fHHWHtwx2UOvrOcJ2vJnsny+kHa3LCy588wbne9db5 9mlX8piFzW4v3XlkBEippSYjRpjV0PM0s1bwrekLQy19JiG/4aGsNT28ef3khtfAs9je9tZ+ +zTxceMJumYKw3BECn1Sm0vAROfK/4U+qvP4vYPPSgxvQj/kBy0QzwiEzBlegAJmelzA20t4 eWv2benWt8x6f9QCelKbiyUaYY2uiUvq45Ce5+VefH7vZIQ3WwveFxkqwBdemt/0voC3p/B6 jy8wHv8xtrf6+AZSa507gGOEcbx0DpFrp6upD7nz+yA9vPla8L7n4aX5jcCV8PZ4+4GXOk+r cSUa8NW6guoad5zNZdEThAPGqhSCwddr6ovx+6Dx8F51sDZzrhLe8tvnHxwIe7CYAlt/VO1D NoNpbD3QsYZ/M0JRTV+k3zvtfzZQwAwN1jwFvL3fukxoRRnCrr9DPKmtRbP6MsJbtJ8D32eD xZN+PLVp4QWw2e2IwNXmOvZ8PKmtRZv6MsIL1PAb54gKL/C2t8nhhdLjyHM2jUbDtdM2v3FX 2wKN6aNdhp8Jw37sL/1enx8fwne9zQhvHItS0Mp3aU3fl/yO1VIgvKmrsTda0/clv9O0FNt5 BaE0El6hU7T+A1pbHon4E9p5AAAAAElFTkSuQmCC</item> <item item-id="139">iVBORw0KGgoAAAANSUhEUgAAAK8AAAAYCAYAAACMXa24AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJySURBVHhe7ZfrlYQgDIWty4Ksh2ps xmJYEmBE5CEsMMHJdw4/Zsc1uZfLYxbJMJPC4WWmhcPLTAuHl5kWDi8zLRxeZlou4d23RS5L eKziME8xrXiN3/vm9b/J3XzVEy+8ftFdbtDMNqKV3+MVfpvgui3rRdk/wE54DymEZ+WgJn4T qn6rvtbnPRxivS+2Q8h1WWXvwyN+5zUr6g3XBfd4tj6j6atQU0UEMn6XhRe99cMLWgZ4Gwkv CFBNxRqoXlnmvRCkjDgbttzIgeZ+akF96Fv3EQ3KAH1Xvu/3CfxPTXjNlSdXq6GW4OzjrhQr 8LmclzcAQm1ggseNg66RH2m0odcyuxTqrhk1cJA+Fwp+n9SG1yEW0MZa7rOPhRO7EgKhKGwA 3+uaAu94blIVERPR8ORONFAfAb/RDwxVZCRCHwyvAgMW9LidFi+8mePrQ0UDt3uQrvVoM6jl JhowGpOFO+gzIb3Wpeg3PPdg0Rli4cX6wcXSTsslvNHjSxl//WFc3sD92EqbGdwBAiNNoE8T otY7Xak+gJLfJ23Ci/WDi7KdlnP2E5O6b36xWcLrm2tEbyocauj2lZZbEwPCQszvE3iuMLy+ DqMtXKt5eM0HE4j78MWUN6BUVh5j/8cajMP2gMca/C2ko7c+yn7Dc+U7LwbM0RCv005LfusK UtEArkbHFP8zKajpo+t37NoQp52WceFVgFB7vMBKTd87vwk1fXT9HhJeRUhLeXgx9anjAZpT 3122eYtzXBYJHgg1faT91u9/vCgaa6ncefMcQqhW3gs1fW/y+6mWDuEtXI3TQU3fm/wu09Jt 52WY3nB4mUmR8g9+yV/t0XL16AAAAABJRU5ErkJggg==</item> <item item-id="140">iVBORw0KGgoAAAANSUhEUgAAAKsAAAAzCAYAAADo3fg3AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAPzSURBVHhe7ZyLkawgEEUnLgMyHqMx mQnGbZrPAgKi4vDxnipe7YysPuTQNGjtZwOgEyAr6AbICroBsoJugKygGyAr6IbXyrrOn+3z scq8qiP+sXn7PzIY62y1s/22vjuyfpdtok6alq/64h8hbOj7YVCiWmNUDdJ2hUUawJ02bY6X QmK7Fwfku0zObMLw4PXuRUNA1u27LRNFlGmhn/TndjusFBxFfVnFwDX3oT0gq0ClA9x31GHR 6f905Fm32eSDekCowWE+59Qpz7+s1vVT12qg7ZBVwZ1HEXWK5WxmMXI+6vpRbJ3358ipU5Jg ZI0J2UjbIatGRdf0okpEgpsdRh3vOyLIqePDv8MSRUriJL4gGs5lgxG2ftshq0FOSbEbJbnZ YWJARC6QU6ckMVmFLOEdgfpth6yGh2UVKUYwYkly6pQkJusjkbVQ2yGr4QeyJqbmnDol4evR tZy0R6VC4cvXbztkJTiaiBulS/SG3egwcU4lQ+whxFGdkujr+W2Pu1K/7ZD1FDc7TH4ISpFT pyTO9bKo33bIeooCHUbIaOaeJ6dOSarIStxpu5GVf4GMNsX6ZffYwC92pFBTlL4P+34WnUnH nEWC+k4XdWx3r+0SrFNaWrnxnp1qNNJ2N7Ie5BVP51Ej8F2Wdw5m4um279MAzhm8kSwk3g8n 4HAyWg3Fb9oeyFnVs1kT0sXn0tPQGdT/563pBzCEF1gqHeBgSpE2OmK43hWRtYD2oAAgTVhW gpNc3qh95sUOPQB45XcixUgm6KIgXRmWqKw6uqbzkAvbGXxeewCIc/x2ig9KjtJ04X7jf4PI rYd0oLogq4jIztQvUwIERHDEz2XdT/vnZEUa8F66kxW8l6Cs8nFXTrT6RRqgdw6wdfV2EpE1 hwuy+gus3YILgDC/l5Xwt66efvIBxuC6rGprS6cK+2lc5rzhTX89tVNBsgoyuRlZj3nzix2g LA/KKqMnpnhQiscjKwClgKwVsR9w6NSdtw3xck8QyFoJFtVIKVImsatykDrxovbM7ota5OrC 17MWt/w5p04bQNYqSEHcjZB1W+Y5LuPNt9zsXZcW/nzRFSBrDSIR0o22Ia7vaxsRSXp3kEhy 6tQGstYg+NROTb1JS27KKq4bOX9OndpA1ioEpGOBH3h/mJARe2rqzxddAbJWwpl2TVRdKG/V spCYuwh3U1aR86Yi60Gd2kDWirAgvGgSoihJkwupAmkAnTsUvXPq1AaydsVNWeUHHgx+8Myp UxvI2hUFZCXk+8rueXLq1Aay9oKannXasI96QmQ65iyQ1He6qGMspv29XYJ12pAWsg7GyG+5 QdZhOHhUOwCQFXQDZAWdsG1/74hGwCAJw/MAAAAASUVORK5CYII=</item> <item item-id="141">iVBORw0KGgoAAAANSUhEUgAAAJQAAAAeCAYAAADKFzdqAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMwSURBVHhe7ZhrsoMgDIVdlwtyPazG zbgYLnmoPAJEpZ06N9+MP6wthORwgp28YQzEBGUMxQRlDMUEZQzFBGVUWP0yTX6Ca3Z+4097 mKAMgc27efLLSnfrEkS133QwQRkl65K5ErjV7J3CpkxQRsHm5kxQqWO1MEEZJeBQ0xJ8accE ZTxhc34Oh/H56HHW8oynoEvxW96FNz0TlNEF3vKUL3mnoPDVMFZkNEL6LO6t7wQPnaq10NlB 3p3R/zThkhKe5K1VkeKtahSt+OM81ARDvz9bX5/UoYreeQLJuTLwb7KLQLMpWn/swbNzDCpM OiaKKfod3otV43mGC6oVfyA5eNN3j/COdqc7N8WULQ8HywYCobV22CvgBF9cR/kKHdg2QWBx zoSdXXGhdVm8k+YYhBg/x5ekYpBLCmeo3Cbh/rpSfw1qPxpnSpELklFsuDyHNE7h8KGI8LP2 HCBWIW6YUyEAeUNAJxJM44Yj5ciHchycFRwWXW11t4PghNfseDjkTrNz5FJ46cTVFVStsJxD csQwf/Gd8BmLsC/aTFS1OQXEsbEL5eunHCX74gayoAJ0Bgi7qpZ4DAoKc11Q8XkMF9xZBblL 4+plgWOFItA3d0H3RdUqNj474hDGOnJUPoNWt3/WFxTAorogJuBnBBUiwR3WPohDEBcFhePG i8l23yeQEsjF7iVQU+xdWGmuQLQwJxUqmT/kwEXz6gQFhLEuiAlQC4rr/TlBcSLaE9wQFCwm WSC5xdOFNHmwI3XFpjXEgopdGCDHp3FajluPB+INaxjhUCierG7SZzf4uqBwgcmgfUE9bnnS WpQJ1LoHxHiOL+WOBcF3Mf05st9eEJU8dplz7Tp7vEJQI8B5o6KgSBWTxs5SpSgwrSn5XeHM J+1iVoSoFFU1/iQeTa11iIKi5IdA9qs603VBlYn9jqCAxOmSCQUBcJLPPETrxBYaPRMLy2M2 v0OMcoeURvxMXOdR+W84lIYbgsJWk9l3pRUY7+P7ggqAU8R/G7TfJI03cV9Q6CynpZaWyZbb awff6HXG13joUH02t/+ZaPwHPigociFrZ/+LjzuU8b8wQRkD8f4PdXvB8ZjF4xsAAAAASUVO RK5CYII=</item> <item item-id="142">iVBORw0KGgoAAAANSUhEUgAAAFYAAAAYCAYAAABgBArrAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGXSURBVGhD7ZaNzYQgDECdi4GYh2lY hmH4SgFTKnpVfj5zx0tITq+iPNrq5hdDWGIHscQOYokdxBI7iCV2EEvsR5w3avObMvBLzhJ7 ifV6A6lhLLH9cUa1i7U67RAMbeO5JxN/E81iUeo+QegtyhsXe4wytWlT/7lVKqS89uv4PJKY eTSKjYvJWRqx3mjt1RYEp1OEsBFZON68vPgS3EQSb/XxHpKYM2jlVceNZ20T60xVYJnFBIzX oD4TNoYeX1NIs5ptaEQSM4MOYrmYVH71VbObxVjp4ndp4b4nF0liZtChFbCMRdn1/nos/Qdi oYeriweWxJyB1/Lyp+PGRjWKJRmC5Gw10GfzpCA//d9N7MUiJTEziM/RIDZQ7HSeLJQ9niMZ 3bMVwNy1qpDEjIV9nZy8xGscxIrBxZKezI8/sEuLB/jgfFMkMW/luVggLJx+bt3JqEIagK2F ZYQk5q00iYWlxj4cyqSaSqmUipbByiv9hxLpeTqqMe8W3ChWhjNG3CK+hcFiY0bPf+n8P1My 9hdZYofg/R/YpVJYjFLxVAAAAABJRU5ErkJggg==</item> <item item-id="143">iVBORw0KGgoAAAANSUhEUgAAAKsAAAAeCAYAAABT7+7fAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANCSURBVHhe7ZiLsYQgDACty4Ksh2ps xmI4EoLyCRD11HMuO+PM88kJJEtQB6soL0FlVV6Dyqq8BpVVeQ0qq3Idi7HjMFqz0PnKYs04 2GFwx2jcmQyVVbmGefIyMrLO02BH+udiRjtMM/7dQ2VVLmS2Uy4rVtvJXQlAm/i8jsqqXAgj K1TcZOv3jwSS4qqyKhdSylpu+yqr8hOorMoDwEuRf2Fijqpp+higvAZG1vwFq3jhqqOyNoFg bxVEsvoDuN3h7/JE0DdG9vvi8f7ktPqPx/2N/hlZHfmnq/B3D5W1CiR1Ey0ksZ/AIBxXLSIZ C1ngWt6frOLIafXvwG+joU/f9rCwWDGpr+I+tGDg2o4OVNYas8kqAgW4GVySoZMAFDGXZVkY ecuq9A3Y/ml+ydCL58tnKWSNH6TDwPnJ/R8Ym4aIPnb9aiiKJ1Smal9pFV6B3wjyxC8WqITc 8+U1C+YIiawY7HUSsNJgoH7FVZ8rdk8o2orgwP6ibQHPJW3uhqk8CX7MozHR2Hlxu7KKpMuE FYoKsP0njwABP6fG+ryVSFZuYLM101SXEScISdm/+vIqNU/lPSRtavgq1zj2ZqAnA8UC2vg7 h8VVCtuSFa+t4+Rl3yBhd4gKvF/WSoVMqy0HTOikrC5QXEAkbe6iu1C4ZJPA+bi7ldURpO2/ Kbv47xAVEMuKTvysrPnKourQHO1JWaHfyv0lbe4Aktvtnks2xuaYrCH2bVnh/q5PiM8OYdn+ Mf9ZHrn/PUj2GMANVhKwg7K6Z+JWkCVtauBv3dirh1R+J2EyfxcTw/6UEbOSbJmsfg71YZKo dIZ9CePE918+k0vHeRflC9Y62lBVXXLc4QfsAlRE76SsDXEkbS6FtvH0yKvnBiY3up7Gc8PP qyNBU75M1IBQ2Gr/MN/1/8zie5hEVgAnEhITBr4mjZPyhKwQCaw+fPWWtLkKLx7FIT7W7NFi zpKexK/ItBdgu18Ut3xhCKTbT6N/Ip73L4kKFLLu56Ss/oQNjqSN8j/8hqwOv6LT+0jaKP/D OVlpe65vG7TtJFtathXRtWT7zA+2jUr7b3yhsvZZTPhQrijHuVhWybdCRZFxS2VVlG+gsiov wdoPxZIO3cGBXL8AAAAASUVORK5CYII=</item> <item item-id="144">iVBORw0KGgoAAAANSUhEUgAAAHkAAAAYCAYAAADeUlK2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJ+SURBVGhD7ZjRkcQgCIZTlwWlnlST ZlKMp4hZQFTMnXMzG/8ZHzYiIh+SzG5+6eu1IL9AC/ILtCC/QAvyC7Qgv0Al5HP327aRsfsT p96m63B3HvaBJHzW8dy1/Z1+x7nafuf+mXfHhU/74pARMN0gOX4haMhFPncC0AedQSn5avqL vz9rUjFwH8DhXpDWW0EzyOBcnuQ6vNucHyicL9DlDyegRkjuCDM1IWC1Ejr+rkv4jb5IzoGB KBxWNG0xyLxaUN3DfaG0wu4Ue7PjjfqLc5SDBhTWW7pLFTJWZRxVwKk62zZSxO+9Tvqx2EyW ektSXHpS05w7DhI7WT/iL8KTZ4T1WpH8CjJRpeKibX4nqG2+IbnPuev+ezY1wdo72croxToK GexDPgKcNJ2LEn0Y/dEPM26fbFmBa+Ar6kMOgs3pBgBeBiEPURfbJwSrJc5iM00alNbN0ezh GdoP+suw2YcV2n+KIA5bzk2QiyDjb9ZSlA+Lhu59YuCVRRabaYKEau2xcnM0iOHXfVNH/WE+ 61/PvXmuRze5bM8PIDtXvnuILDY1wdqi6snoBlqep+hmTEorZxBH/aUz1MLsrZUqIYdgtTZR BMhP9AxyI+EWm6li3UqBKAQ5IbcZ4qcLRvzFnKsQU56tbTpLvckp4OgsjSKYv2zXwb/Wdiw2 s0XzwM+GyRYgIGa01wqz6g/aPVkrAWMO4tyTPNjeyVKwKakm+bsjtg8eUG5rsVmy6RnkoGib qypW6EiFyX1ShfOPEIvNkk0EcmpBdlj5/VArjPTe4a0Hn+WBcwCUPqdDtVmwR8Ru8gxdR/6D YOm/NBHyaGdYmqXpN3np/7Ugf728/wE/T+ncb9P/4wAAAABJRU5ErkJggg==</item> <item item-id="145">iVBORw0KGgoAAAANSUhEUgAAAIIAAAAYCAYAAAA2/iXYAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJmSURBVGhD7ZhhkoUgCMc7lwfqPJ6m y3QYN4FeoJi41fR2lt+MH14iKvyhdqfkOBsuBAdwITiAC8EBXAgO4EJwgFoIy5ymaWJjTgtN OTVrDJ9YzQOBOtbJ+J77W9JMc639lvmYD3Glp32kEEgEfAN07GJQgXjtscEk9cWwJ1OJ6am/ /PtYg4KRPiBXnwW43ioGIQRwXt5kjSlMIQ2I65+wphiKxOdEhrjNtCARqGrp+FvXwm/2xfIC eSrEJYR1jhCCVBTRvdw/RSuQTtGcdtdRf3mO50pLOqy3dKmmEEi5eZyJoHPxGub34xsr4fht sfkC1GrDs+uBx7kQI7sfWz/iL8e9jAOs14R0SQiMVrJh43yZESEg5T7LXPuw2LTAyjsZlsj0 GBUCxSsnEKd3cZMPoz/+MSnt0VYUiiaOBn0hbMDmaiXmzS8KYTusFjiLzVOYhKQl7qwCNXt4 RvaD/nZBiI9BshdnrcSlYxKCekjgohDywdWo2WxeBYJe3F17tqPGkFX8qD/qKO2/Cnrzkvc6 Qgj1e45hsWkBa6vKYOMWYWGguat2nDIs6Tsi0aP+8J6tq/TWltRC2A6rtRt9w4tCOEmKxeZ1 cpV/gq0kugDb+dEV4I58wYi/nBc10cW3hxG1I+CBszMc7ctdEEJ2SiLT2pfF5hvgsZJxooQU yYJ7kb0m8KY/eLWwtaUIKE557jexsn0jNLkoBPxRX3rDYuPcx/tC2MAqkH4sNs59MCGMfWXy VqRXK77jZAujZ/ugOUg6f86HauOCuBvREZ5gjfs/UJxv5kEhDHYY51Ue7wjO38CF4Gyk9AOx UkPX0ZtoSAAAAABJRU5ErkJggg==</item> <item item-id="146">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAVCAYAAADRhGlyAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFISURBVFhH7ZdbFoUgCEUdlwNqPI6m yTQYbj6oNDQMu/5w1vIjJYMNPjKgEkkBCqUAhVKAQilAoQqAKyzGwLKmx4nanAWz++Kb1J91 ifMczTrY4kDWb13o7bK/ANzA2TgwHWBwdNnTGR7GJHVzYG/zxJjJuZn2eQWSL/1bRFAeKFbB WxGx+Uqrxsq0HwAQKxcrRqjgg4W0mqKovl5lsTUqD8W0bwLM9oLm1wYqW76oAcv4iI0Bz4tp /wCwP+u3DbhsT55/DBD9wAOjKqZ9BeDE05gCWCT2lS5zYJKbEJn2JECkPgVg8OHrPZABkWlf XcLxHjZhCRMbdvDlo1PY+0RCZNozDpFBp2uPsmvLl/fABkSm/QkwvRCqJFXe9W+gDjJWzGjQ z38i6bsH6PL5FAZ9tCI55ZjrsQ/9qtdSgEIpQKEUoFAKUCSAH8bQKNE9y2uwAAAAAElFTkSu QmCC</item> <item item-id="147">iVBORw0KGgoAAAANSUhEUgAAALYAAAAYCAYAAABX5geaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAK+SURBVHhe7ZgBkqwgDEQ9lwfyPJzG y3gYfhJAEQMDKMry86qmalccSXcacHfSgjAgEmxhSCTYwpBIsIUhkWALQyLBFoZkD/a6THqa vM+y2pFwbNHHiPAkQ/ZgXby636v9vGNvSs8w+aw2e+EAjeWuCw8zUg9sqL31aRdo+3BfX0Wo mFmf/EOz/eqEtnTbg02rOT+Um5pPpw5BCzfQ1gDmHRuLh1U1K/jJ/d6+kDi2nodXuX+0O++p EbvuL+mtBw6sI78P5HEYbFy0L3jM//Foj0OqCQrhjz8XOL8BOax6CY6ntyHDL6ExerrRmtUD oHoHrNGE36kJtvEhPdezHvPBBkzzZzCNF4Ljzmz2yGE5iq9qNkB1OZO4z88Hc0asWi0QnkhA PtWa6AHcYHWXB7te080dO7IQn/Y4GmxTQGQHozFfIIYlV7ApprbZt0kYy+4UX2pN9WAH6ykM doEm8oUWT+STEMcGG7i88jXwOB5senikKZf3pJIG+veaOcigouPnBhcTEVMT26SWWm1w4+FI 9GAH7ykMdrUmvC83cDhNwlO/By08pjGWuKnXo6K2ENRU1pQ7O4iBCUJiZ/xSa6oHB+XBrteE 990Pdrhjt/D4w2CXfOdZzoabOqZFwXu2Mxu02/FvtQ4Q7HDDsJuIP1cLj9lg00QweXQXfODo MM/OMcndn29oDqed32mhIxKveUF5VevBzx7slAe7XhPeV75jh1ou8zTwOLFjJwjfU9n31hhH 0bGjqiu611oR7Fua8snW3MDjumAD+BD/3zPpv9x9/NWYc9R+T99aK4IN1GvKJzvYwNMeVwfb PTB+TJpJzkeMFYvXqRneM4L7+qJTrbSzuTm4RcPXZfil6S7m+aUBjddT6LEdb8amFJT0f9Cr 1pF6kKulYbBLV+xfpletI/WgTEvzHVsQvkCCLQyI1v8AqVrqwoLa8/sAAAAASUVORK5C YII=</item> <item item-id="148">iVBORw0KGgoAAAANSUhEUgAAALYAAAAYCAYAAABX5geaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKYSURBVHhe7ZiBkYQgDEWty4Koh2ps xmI4CLAiBheBIMvlzThzu66S/PxEuUUxzISwsZkpYWMzU8LGZqaEjc1MCRubmZKPsTexqGUJ DrG5M/E5oY4zTEumrMEmgrj7xX6e2LtUq158lbv74sAIi33PNGamGjhTB/3pGpTe3NdXEQhm VSf9jNhhdAwtw9ZgV3LNN+Uu19NTB4DGjXIjAHnHNsHrrlql/st/pg8kjYuncZeHj3avPRTi k/ebjFYDj4kjvw6gcWxs07QdNMY3j+5xCDHpQJKPv6Lu25SIHk+9AcEvprFmGiZX0hoYXPPo NfKNVmpsq8PXtRpqjBtbY4u/6oUSicDj0gT7JJBDzFJjh5MWPb7eGBNiU1Jo86RyeTPX5jWw mHv7ZkFfGVBKjR2QMm9jjZPG9hPjfrNiTPJUVBtMabGrSQhrTXQ3uV7IlaoGcN/QoOYeuGFr BglqbE36la+dxmljwyLfilIbiF0DBMp+HFZyKarBdf5tsgS5OuOm1yWqgZmOJ71zG9D8rnJi G2A6Y/dpqDGcQyESNRJxE8+ur5kgFiRmqslYmatds30Nrq8efY1NObG9xi8aO1fM9pwFt3Es Qur3bC+2zusS2Bu50tSgq7HjgeGGCL5WO41RY0PievHvU7A8EHvvHJH87/MFzeE0+f30uN3A 9Mj1gLQGnV9F4lzS67TT+GZi51DTYUfiv8GouRbEFe8z0H1HPc9zbqfxq8a219918EiMmmtJ XPoqbYLw3333+4syehs71Ljc2H5H745r/HaReJMAycI1JgEbFHxGNxODMGquhXFZgniuFzbA 3j+7YVpr7M6TsUupQ/ofjJrrTDXIzYXQ2A879qcZNdeZavAsF/KJzTBvwMZmJkSpP/PnLDWi sgPlAAAAAElFTkSuQmCC</item> <item item-id="149">iVBORw0KGgoAAAANSUhEUgAAALAAAAAeCAYAAACMoZTAAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOKSURBVHhe7ZkLkoMgDEA9lwfyPJzG y/QwLIGgfAIJamvd5s04s61UQngE2p2sojwYFVh5NCqw8mhUYOXRqMDKd/Eydp4mO02zNS98 r4MKrHwNLzOLxY2owMp3sC5O3sWu+FKKCqx8AS9r5skuC0gMxwf3t9BkFVi5H3/uXZy0wdpw lJBVYxVYuR84PszG1eHIahdhFVaBlfupBMYjhQqsPAI8Quy+gsCDP6OtSzg8b1eif35v/Jvi r5LmbR74bSicATu5rioWELbd2F9dvbj7VxAqZx1bYB9X2T9+Lr5Jjo8mr8D4IzKVbJiMkUn4 dby82ywFefj8Rcl6RQLbVFvu/pkoyi4Jd/8KkgVCyZf9TBba5v0nnx8okvURwndUlG8Q+9rR /m+qLdGRTSAFTiCT53VZrAEBU0lWU2y3ZUVj7l+IXxyVwKG/rLuBKtuDOAPj4LaHw+ux/478 PJSsuLu1nAnHDabyuOfC52lJcvIdoKZ9HxYSEQfELxCOjM2PnSiKg/91o6C/xKXJdklrbn3D QaTbhLv8QHHBbK8lbQ5wUcJEeIGpCWsJHMY8G5OMvZTItcEP8wITFS+Du19IDLEL807GRi1o 30cvBhm0wA6/Ql3lrbbCiA8KEj0uRbn616V+hqSNmMFYfd+bSMTFZh0XYTqRlNQRjA8kCU+O C3bPPRwd4t+swJxwIiFR4gF5ga8R2A8SktqdcQjipMBucNQgJG3GOBbrYTB/ufy9YlDcQ6n9 uN2zTHKTE5hb7PJi4HI2IC8gFhjzc3Ze2wL7Cec6OCkwDKLRgaTNGB8WOCNU1GYxoCY4yX9v RyhTAwL10sXd34H+XUyQ/7MV2Mta5J567wD3CQzHk24V4duMIY+1J4y/ZAZscBUzxFbkujPB zee5hZAtEveMtHKz9zdQXnzlYxHOAx1bfebmcyLjXoE7MkjajHEs1nPUZ9kWfkKTdn78jXGT k49HjvxK+uXubxTyRoQSh3kj2kH/2/sSt2SQAodkJgNt9nRCYHimrzL01ipuk8aZXlXMHxQY Y4Y46GMDil1MdDaezuyWAlfzVTyDu38NQcr9+XWu0ziu6rpTgSWcFDi8IAckaTPGBwVWPsb9 AjvCysyfI2kzhgr8HzkucLJN0tURt5Rsm8T34oX3sq2zvMg2gyKysSpP5WQF5nmZ+OO8olzP GwVmfvtUlAt4ewVWlHeiAisPxto/cdDwJTzcls8AAAAASUVORK5CYII=</item> <item item-id="150">iVBORw0KGgoAAAANSUhEUgAAAFUAAAAXCAYAAAB6ZQM9AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFmSURBVFhH7ZiBsYMgDECdi4GYh2lc xmHyQwALCjR+grWFd8ddlcjJI4GzC0zEmVI7MKV2YErtwJTagV3qqhdYlqjp1fcc+zS8en6d DYzCOSuDv/ikmboZUChOmfMQVmzu/u+ygg6J1CTVsmocSEHiz8qOMnckNqMEpJ5S3l4fJA+E kFTEbwOUnJi5xbKnuCvCo5Lay8ov4n7NibkPOakIHU6Yoap0MNE2YSd6PYtp7OQgPI/BiSmR HqyZdmErE5UasrV+ONmsapSKi5ObIyfmDmSl+jKsT6ZRauUA5MTcwXdJtVtL5WU5MSXo2VDq uXZhkb5PamWCnJg7cO8hIJVWJ6xqdVIC5Y/jlz423sX0xSXVywN/npVM5dAo1V3QSx/XjRPz VD4vFXGVkY7DiXkq/5fqyzKUxzmLfPkk+9GhpHwfCYzvxy0b82y5jZn6ns0YVDkWHaW6T8ux /tlydM/UEZlSxQH4A/mMstkCSVCkAAAAAElFTkSuQmCC</item> <item item-id="151" content-encoding="gzip">H4sIAAAAAAAA/2xTTXMSQRDt2W8WCBHEEBJAEwUWFCFVlh7HVEpzSBkrN/UQN7AmaEVws1oc +SdePPgDLO+Wf8vUpqenwRwyVG+9frx+3TM7mwMAgRFi+IRNfHrRl6PodDz5bIFauxiZ0WSo OZO4l0p2Pjw8+RgNE2LgPdUb+HQuzqa7k5mm32K4SBwthe8wXmP83AA4wO6Hm/9ztdYcPZQB hkmguGz+PEni8cnXJNLKfYwCXF+W3N+6nhtgk4WVxFFUIUpi5KcEHSnX/wDMbVfK7wik4zFw Mww8n0EmK6X9D4Gfk9LArkkWwBTGoA95TfxaErDCDJ6pIQQSBe0yz6xKqUaWauxbGs/1FopS +n8x80pSWpcoKd7WLqOScnkDZRaU7vAAZXZf0/kPyj+hVUU7zIvr7FDRDlV2qGywQ5UcBrDJ DtWFA0CNJ3brfAC1BoP6Xa3+1uD+93T+e5HDFtfWt3m36p3c593q9/OAsxplTS5wWtyj2WbQ CrhZG6+RcAa9J0/7z6DDHduLjl02aD3kjl10fcQ9utSjx4fSfMyH0lPFM+jz3nuLvQ/oEhdG O8encTg9O/4wic/DxCaTbfUtEL0XJqG+Y+3lXcNl8hdVVteesMr8cDa+eEE++vvpYLwSrNUr xR+Izs3swQ3swtxN4nAY7exRfwhY2BCrIAKRKiREgG3ThjAUSJExRWClirFQAykCWwTGXOJf DokRuKRB4CmNEmdQQ+U+aqg8ixoqz6GGyvNKo6pWSIOgoDRKzMNfAQAA//8DALq9G8J1BAAA</item> <item item-id="152">iVBORw0KGgoAAAANSUhEUgAAAPwAAACnCAYAAAA14jFTAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAApuSURBVHhe7d0NdqIwFEBh1+WCXI+r cTNdjMNDwoTw8wKEkJfcr4czbae2CtwSwMrjC6AZBA80hOCBhhA80BCCBxpC8EBDCB5oCMED DSH4wN/7+X28PsNHg7/39/l4fB+P5/f9N3wOMIjgPX3sEvYk+M/35ULvw391nwFsIvjAbAv/ eXkf/33fz8c3HAAAVhB8IAw+/PjzenyfjOthFMEHloL3Ayd4WEbwAYJHzQg+EAbPPjxqYiP4 /uj4zlNiq7f5RdsfjX++u4+mZsGHR+kXbgNYUX7wsoXdew584zb+kHxxa97frpv8z3MeHpUw MqT3trLRFm4zO48uX8N5dbSjreBlCz4ZkrNPjrY0Ffx8//z64LsdAd54O/2WSiXBDwfiJuUW Erw7JsDEdHJKgSF9huCxrVudh/ewhuBVC7cJD9rNDuKlR/A6gtcRvGr5NuFpuaufNUfwOoLX tRP8eA78N0UNvzdvM+zvy/9dOZYfyM/Btm5JDO9hTar1iDl9MYLXEbyO4I0geB3B6wjeCILX EbyO4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbyO4I0geB3B 6wjeCILXEbyO4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbyO 4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbwuW/By4Qb5Yf00 XqZJLvIQfg5LCF7XrUXDe1iTLfieXJMtvCTT3/v7uviqLTUgeB3B6/IG3+m39OOVWv6+7xdb 9hgEryN4XfbgJxde7Lb4Ga7SVAWC1xG8Ln/wnd+FGD/LW/fxem4RF330f3lUjuB1BK+7JXgX 9Xzr7l2pVY3ZHfAjePwQvO6e4GXf/bmwBZeDev7+/VO5yitbeHgIXldU8HKddf/Sy/412Bd5 wfe3lS1+paf3CF5H8LrigvcD3xP89/PW9/kNI3gdwevyBz/sv/db427yh+zHgu9u0w39/ZFB jQheR/C6/MFvObQP//y+Xt1wvvJn6hG8juB1ZQXfH3n3jtJrEXtDenU0UIjxWEM37RmUyHKK nVp1a/BLC2JpullhwXfGIX+4jz+chgtGAH088rn+abvyccFH7f1fYt4vqxixC0q+bGlqQbf0 h/cutDRz3WRAecErPm+7Q/fdxyg8qRZUzZIH78fsT4YZCj5in75w/XDeewB3B++vwxd8++xO Bx/OkBpmSsDcFt604K8FS9rC++u4m6w5FLz1B70TwWcmkctM/00LzzZccXXwIflx/mRBdPAW H1wiBH+XySlIXe7gfVba2AzefxClP5ALEfzAP10WfU6/P9K+tJX2ziAsfa9gaB/jzuCdAu7C psXg5U67CcnWI+Nz8/N97T0aOJ4GnAfv75tPDtS52xx4klAJwZduErzMLzdhRPDi8PPwvScK ObPz6/I1558bUHLwxXTl7kjB8+pu1wfvL4ScUzRl+L1pIXjZik++T5rTiRa28Idmfwq3/WB7 2MJ7fkfQ44+cLwUfnmtPGbyZN68/77PJ3/wfxFvkm8yvBNJ8lwLMg3WGkcDk//IGb43XY1or 31hWaGwj+JD/fHcVQ/oYC20e477RyjcjeB3BhyT46DoXgg8P2s0O4h1jOXhno9Vt7obKjQle R/CBz+vcPrwIT8vFPn12Sw3Bi90PIyJ0h+B1BN9vgbtVZZiiN+6btxv29+X/zo7lB/K9miKP d+dj7ub28B7WpFqPmNMXqz348eG50A88XoLXEbwRLQTfP8QTj5PgddmCn/yV2HgUW/aBw89h SdXBy2Pr14Px3UO67zC8hzXZgu8t/dFIty/M1WN1VQa/UvjCp6IQvC5v8J1+Sz8eyPrj6rGR qgs+ouqIL5kgeF324CfnpbstfqKD2NWrJnhXceTj2fGlBB8hf/Cd33nqlavHdtaf3hpI9KQW C6oIfk+9gZibErzuluDdOeylpvvYu//Tg3cH/Ai+eHLf3XSC9i0IXndP8LLvvnT12AFb+Dmz wWuVJkTwumqCH0cGlZ7eMxe8Cz3j/SZ4XT1beK4eW47MoTsEr8sf/LD/3m+Nu2l1Pz46eK4e Wwy5j27KrP+xBK/KH3yEvcFz9dgC3BS643586bPpbhUE/xvS+3+SWqOigy+kNNnCF3JXilVe 8O6lnGWaRD+chhs/F/wJ6ni7Oo/ap1pQScl9clMBuqX/+7ecu1ScVOtRttlr+eqxZxQXfIFV ueCFu3ulzba7GQr+t0WPGenXqKjgCy3JD94p9K7extwWvlVFBO/qKbSgpeBFwXc5O4I34vbg DVSzFrwwcPezIHgjbg3eSC1bweOH4I24LXgjsQuC1xG8EdmDNxS6Q/A6gjcia/AGYxdHgjf6 UA+7PHg3Q89MW/Z+vVXZgjc8E49u4Wteb0Js4Y24PHi31hte888M6Y0/9GgEb8SlwVeytp/d h69kNmwieCMuC76itTzVQbuKZskMwRtxSfCVrdmpgheVzZoRwRuRPPgK1+iUwYsKZ1Gy9aiy 2VKeZMG7tbi2NbmTOnhR26wieCOSLKja1t7AFcHXhuCNOL2gKo9dELyO4I04taAaiF0QvI7g jTi8oBqJXeQK3vIsJXgjdi8oy2vlQTm38FZnL8EbsWtBWV0bT8o9pLc4mwneiOgFZXEtTOSO fXg3u63McoI3ImpBWVrzLnDnQTsrs57gjVAXlJU17kJ3Bi8sLAKCN2JzQVlY0zK4O3hR+qIg eCMWF1Tpa1dmJQQvSl4sBG/EbEGVvFbdpJTgS0bwRfCuk7dyFdzJgiL2RQSvI/gC+Fe+Xbty 7rigiH0VwesI/m7eJa9/5Cq58yvg9guK2DeVHnwJi47g7yaXuZ4M41cumknsKrbwOoK/2XwI vxy8LCgmphRTCgR/UGzwQEkI/qjYIT1QEII/KjxoNzuIB5SH4E8IT8u594FSEfwp3hNvGMvD AILPwvvFsPKMPHT63aLnl4HSCjlu5I7aH9zAEHwGMc/Ia964MhP8Ivll6Nab/hfj/3VqD4K/ 2uxg3vIz8iBk3hD8kr/PZzIy7DccB0aLBH81Tt/tQPDRZutVHIK/GE/Q2YPgYx09K0TwFyP4 PQg+TjefDh78JfirMaTfgeBjfF7HjwER/NXCg3azg3j4j+A1MmI8s7Eg+Ax4Rl4sgt/UjRYn 60738d74CT4L74k3jOWXDeeW3RNLmE1T/bEgb/78pv0jRYIHGkLwQEMIHmgIwQMNIXigIQQP NITggYYQPNAQggcaQvBAQwgeaAjBAw0heKAhBA80hOCBhhA8MvNeG6B/sQt50Qv3/vAluAzB 4xbyKkDutf4+Ly92XgLsUgSPm/zf0v9/dRu3tSf4qxA87jO8rNXk5azYwl+K4HGTbmsuQ3p5 GW8/cC/48XXcDr4GO+YIHjeQofv/yP39+ckW/vPmQF5iBI/Mgn33YVg/bsn7j5/fp3wNL12b HMGjLEPwr9exq6NiG8GjLN6Q3r+AB9IgeBQkuGBHf0BPPvYO6uEUggcaQvBAQwgeaAjBA834 fv8ByE4t/QJoKV4AAAAASUVORK5CYII=</item> <item item-id="153" content-encoding="gzip">H4sIAAAAAAAA/+xWz2sTURCeTSdJW1LaVKkag66259omDVbdtqlrKEWkxRSvauOiKZtG60IV vHhX8C8QvdizHv0LFIRWvHi0IKgHKRTxZtZv3j7TbSgaf1yk+cK8N5n5vjf7Ni/DSxCRAbsM 61R+BCN7S46znwR5WHulNDO/4JQ8FaFLMMsIUm2K32FfKBZuTHtOxVCMBCwWDnSpkRU5AbJd rcxXJR2s2AOLI7wV6ZYaeKAi5rdpohdYJwvf94UN6ozr2G7ZWfSUBtm43okeoV1bTb57/DS1 Tg0Yx1PX/A6KhWJGXR08TkR/r/lSMYDfwn+Fb7BayFrYXThPVXw8MqlAi5iX6HZjK/gp+iha /89LL3geX5jNWLHCwwN3P29s0scw9/rU8YGuD2+MNvh53UhsVJe6jhpv/lZtQS9FjPB+mtWd MH7NaRZ/Uv9f4m/qy2uQPi6/CVPQy1vYPZBrx5FjRIVocB46t52Muh/Tx2Qalgxivdq9Upaz 0621rBXlLbGkbsG++NuP54OgwisZzhXN4jXHdc0z7lU5z3PvV5afra8sf+obuSNXja/NaneA JcPcvZfDpbXkk/v0aGA1+vrHVaa9YaM7bZ6MiN69vIW9Osgn2WaLczzGp/ks9+MWNov+dZHS vIePcr+KHOQhHuZxzmMeAk+8MbBzbFJe50Rt0gQ8k6Z4lCf5lFpVeBZiUkOUI+BbalWTU5xF x06pdXOc4X2YJS/6tOIfRm6UJxCbVJoMDeJuOAjVIVTtQY2sYqqNfgcAAP//AwD83Xtt4QoA AA==</item> <item item-id="154">iVBORw0KGgoAAAANSUhEUgAAAgAAAAA1CAYAAAA3UFPNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAvQSURBVHhe7Z1NduI6EIVZVQZZDSO2 kmn2kXmWkQ30Jt4OeL4SRj+uUkkGJQXce8493QhbVn0q/eA29OFMURRFUdTLydUG4HA40DRN 0zRdeYbcbQD++++/m32vep7V5GObjGyTkW0ysk1GtsFohrgBeEGTj20ysk1GtsnINhnZBqMZ 4gbgBU0+tsnINhnZJiPbZGQbjGaIG4CJ/jpm/4Zz/BKP+Qt74RP9dT4ejucv8b2/M3PItkdG xy/5mL+yF0arwert40d876/sgxHmoWysHd7OHz/ScX9jtGmGuAGY5Z+P89vbx/knvP45f7z5 SSgXfAKTdbBxAyD55+MtW/QjL08LnIs8+jqeD9dx5m8z6WOsXYw5aWkPNwCSfX4QWQ1GM8QN wCxjYso+sWHn7WXydjUp8Q5At7Eh8DR5+2Pka6MN+2EU2RyPvnIIdsGo+MDmz2A0Q9wATHI9 WXuavP1MSjA3AH3mHQDT4RMu7wCIvnwg8baJhF0wutwdQVtgj4xmiBuASeYGoNfcAPQY+ZNu dfuwJ0aBz9IePgMgOY0xbgAUF/+U5HOzPUPcAEwyNwC95gbAssfFH/aVRzDvkkjO5x5uAPrs jRMYzRA3ALPMZwA6zQ1Ay14Xf9hXHkV7nLil8t9z3BShHbnJqG1uAP5A90oEFwnFbwF0mhsA 1dhEOmSz2gOjsEHiNyW67W1hg/3lEeYkfg3w13WvRPAy6Lx+h9sLn2huADQX+XMxP7ltnXPi 4tY2NwC6vefRDHED8IImH9tkZJuMbJORbTKyDUYzdK31+5R2P8Gn78s79Xunc3rnvkL9UvCj vlc9z2rysU1GtsnINhnZJiPbYDRDZa3/Ps/vy4XeP/9dCpKwCZDK76l7JQITqm3ysU1GtsnI NhnZJiPbYDRD21q/T8vF3s/FWo+NQXZHYJbulQhMqLbJxzYZ2SYj22Rkm4xsg9EMCbX+O3++ H86H98/lb+vrakMwSQiSpmmapunSMyTXevmngPCh//s0/db/KgQp7X5GPQvWs4h8bJGRLTKy RUa2yMjWLEZqreHBv+WT//vAQ3+bBwlrG/+MgGOkBX3UqIfSRT62yMgWGdkiI1tkZGsWI73W xgOBs4QgpQV91Eyotl6aT3jGxd6Qviqjf5/vic/V8ocAMiIjTWRkywOjRq3f59Ny0V949u8q BCkt6PDIj+rMgvU4Qt/pd25u4ZPf5VFzw1hk62+UFHeOsuO18q228crnljldtyMXzrtN7T7I 25eHpsWcTxZSm1uxRPUyqtR4ABjn7VXPtbWYR9ktb8jlG/llpF9aYhTzfC0vHupWWFj5leSL kSW0TYunJ7+28bTHddTjMGrUGpNIa6ukIkjJRmU4RlrQR39WF/W8pi4PcAbeepLu5oPJ4/pw qDYQyrzZDMDqzlIYhNe8iO3HS628lBIvriE9xFq0v639OdTRBwpHNebAbK0Lxwvf0smYlhpk VOn7pD8AvJdRV99qMY+yC8ek+uUFwR8jLc5Cal4ox4dygYVaTy6HjCyFuJRxocSs55ESf6HH Y9SotUyW3xCClBb00f9YZ1pCPYy0CSBqLx8Mjnww4fUmP5qLbEz+05Lo8mK1vcYqrTyqihdt yBqGiQ4vy8Hd1u05pPdBF8dF1+OKCSTFE2UzjepjVKi6bq17jTOxb5WYh9k187GWV0bKoqHl hdYmjYVWjyi/eVTKGBedMW9zUx/XSY/CaKn38mchBI0LXi2RmSBcS1rQ69+vtn7Pehasx1E7 SXfzKSYQDLDt7jrkjpYvl4GwHVSrYp3b07XyVWW8df3r6/Dn6RQ+FVh5fXsONfqgg2MZM/6+ LgDy5KIzXdXHKBfKGojuNM5afS7EPMgOMfTPX04ZYXEQc0lhFI5P8/faZp2FUo8or3lUqWuu sWJOeZRk8YEehNGiObXuFIKUFnRuAEbVTtJb+GD3ivPx74rS7jokt7jIpjZpgxLl0ieUslyK rW/AlfVIgzvp9hxq90EPx4LFdVJfJy1IY7qfUVK7/dDtjIQ4c4kxj7ELcRn5mOSPUYhlqUNd HCRGwiYJ5+ssFhn5leSP0Vbpmtv2ZFLya1Vgv8nNOp5HZRQ1p9adQpDSgs4NwKjaCXUvPpiI 68FVDppq8rkcux0A9XlJWnmpzgG3TIxiuaDbGdmDelXNcRMzJqqCaZyw8va3Yokam5Ts+m5n hGuofavEXMtiV75ub/o8MopS2t3JaG2nyqKzniivjJLya6rXN2LGeXJu9oxr/4xWzal1pxCk tKDzGYBRtZN06qQkLrLf4VhcN/d6nDbYtPKtqngvt/9WYZGIL/PjlPZfdDujnokCKtshxVxP ED1Mt+plBFmLQNQtjKy+lWOuj7bZyfmoXdUXo1xSu/sYZeUKi956ovwyioo5sY6H1XU8rZjx dz03e8a1d0ZJc2rdKQQpLej8FsCo2km6l08YGGvmIqnFa+TXLifoVcXg0+pR65dUxdva3Yd6 LxND3bBMt+eQ3gcqxxaLIh6DqahBRg02q3Yz0uLMpcQ8zK6IW2aX5IdREafW7h5GIaa13QoL pR5ZjvKoQ+q40GJGuZhHq6r4RT0Oo3nkdwhBSgs6zN8BGFE7SW/hg93r2g8pb6vrhUF0OU5I 7nxQ5vWtxntauaxtvMX5HQOsFs67TXWbytcSx1bMVjzqRHeVH0Z6nDqjvH15eQ+75c1U3ozT Vx7l1059O86oyAuFRX+cvhhZKseFza4ou7jgJ8S/1eMwmkd+hxCktKCPehasZxH52CIjW2Rk i4xskZGtWYxckUeQ0oI+aiZUW+Rji4xskZEtMrJFRrZmMXJFHkFKC/qomVBtkY8tMrJFRrbI yBYZ2ZrFyBV5BEnTNE3TdOkZcrcBkD7Rj3oWrGcR+dgiI1tkZIuMbJGRrVmMXJFHkNKCPmom VFvkY4uMbJGRLTKyRUa2ZjFyRR5BSgv6qF85ofKvm2jfNiGfNh+IjMioJTKyRUa2/pqRK/II UlrQk7/Ox8Px/CW+l3wTrDt9Zzg/Nfwwx6W8/E5pFM6TypM6v1eKtl9/cEL/virO2a0X4APh vN0iI1u/yEg7fisyqo/fioyCb7jWrzNqaE6tO4UgpQU9/vrfCnDmBgCdkJIBnbadVOOvRsW2 ZB2mdSZ+Bep6HMqzX4GCwvva5K1cS/llKSRuXg9eS3lKPlEaH4iMoh6eUdckS0Zk1GaE9qdF P9a5jccjo7bm1LpTCFJa0JMn3wEoksKSNlCg1Mll5+MSeeLE4+72f7kX7Y/JKNVLPpDOByIj 6FkYrcqOF0VGZNTDCIe1xpsjRobm1LpTCFJa0JPnbgDKXZ6lRkIhia7v5QNKTox2MkHledLO cX2N5EL82n+VCpFPmw9ERk/EaFVxvCQyIqMORuEYeWMQ5YeRpTm17hSClBb05PkbAPX/y95I To6QlMu5xakhwWInp/5N55cJItXbn1C5kFxSOflEaXwgMop6fEZR2+PJiIykmBc1GEHhnOsn d9+MLM2pdacQpLSgJ//CHYDqloyeU3JCRWXnIpmKOmNS5UmgJUTSnoTS208+ULv9ZAQ9PqNS Y9ciI0mvzai8piY/jCzNqXWnEKS0oCfPfwbA7qhVrYRK58qdP+f/ckfd13Ico7SPfELhUqfe PjIKhUudj8xoW+fQtchI0OsyCjGZiz/kiJGhObXuFIKUFvTkyRuAouPGdpRFZ+bnomONXWqd dFtVCdXYpSK5ED+stZ182nwgMnoORurxosho9FqvwiiU53E35YlRW3Nq3SkEKS3oybM3AItC R1865dojVYcGbcvyzswn47w81ZmEZByavBdZdbaEc3brBfhAOG+3yMjWLzLSjt+KjOrjt3pN RkXZxTonZ4wamlPrTiFIaUEf9SxYzyLysUVGtsjIFhnZIiNbsxi5Io8gpQV91EyotsjHFhnZ IiNbZGSLjGzNYuSKPIKUFvRRM6HaIh9bZGSLjGyRkS0ysjWLkSvyCFJa0EfNhGqLfGyRkS0y skVGtsjI1ixGrsgjSJqmaZqmk2eJWy+KoiiKejmdz/8DKe9rIKesyO8AAAAASUVORK5C YII=</item> <item item-id="155">iVBORw0KGgoAAAANSUhEUgAAArgAAAAMCAYAAACJBM5lAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACOSURBVHhe7dZRCoMwEEVRl56dpyMS a2mK+XM6nAMPQ+IC7hb66natNTMzMzOztItuPcL1zup/AADwJIELAEApAhcAgFIELgAApZyB u39/bbwDAEB20a3vcB1Be91wPQMAQFbRrZ/hOsJ2dg8AANlFt36H6+odAABkMw3cGYELAMA/ ELgAAJQicAEAKKT3FxC5eGveBBmbAAAAAElFTkSuQmCC</item> </binaryContent> </worksheet>

Mathcad Professional 13.0 <description/> <author>Константин Титов</author> <company/> <keywords/> <revisedBy>Titov</revisedBy> </userData> <identityInfo> <revision>39</revision> <documentID>dec77cb3-abd8-4d0f-9fc3-94ce85be1348</documentID> <versionID>ccbdbe50-ffcb-4092-9800-4dfe2a582b22</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="30" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.5" page-height="842.25"> <margins left="56.66457" 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;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\cf1\f0\fs16\{p\}\par \{f\}\par }</left> </header> <footer use-full-page-width="false"> <left>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fnil\fprq15\fcharset0 Arial;}{\f1\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} \viewkind4\uc1\pard\lang1033\f0\fs18\{d\}\lang1049\f1\par }</left> <center>{\rtf1\ansi\ansicpg1251\deff0\deflang1049{\fonttbl{\f0\fnil\fprq15\fcharset204{\*\fname Arial;}Arial CYR;}} \viewkind4\uc1\pard\qc\f0\fs18\'d2\'e8\'f2\'ee\'e2\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="2011" 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="1735" left="30" top="11.25" width="406.5" height="15.75" align-x="30" align-y="24" 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="14"> 2.3. Метод, использующий разложение решения в ряд Тейлора. </f> </text> </region> <region region-id="1736" left="30" top="36.75" width="459" height="148.5" align-x="30" align-y="48" 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"> <inlineAttr underline="false">Его можно также назвать методом припасовывания для решения краевых задач ОДУ.<sp count="2"/>Отличие этого метода от<sp count="2"/>предыдущих состоит в том, что исходное дифференциальное уравнение не надо<sp count="2"/>представлять в разностном виде. Искомое решение разбивается на ряд участков (число их в пределе должно стремиться к бесконечности), на каждом из которых оно представлено рядом Тейлора. Далее эти участки припасовываются (сшиваются). Алгоритм припасовывания описывается системой линейных алгебраических уравнений, имеющей, как правило, сильно разреженную матрицу. Именно эта матрица определяет пересчет краевых условий для каждого из участков. Решение же самой системы линейных алгебраических уравнений можно проводить методом Гаусса или другими методами, являющимися частными случаями последнего.</inlineAttr> </f> </text> </region> <region region-id="1406" left="24" top="192.75" width="447" height="54" align-x="24" align-y="204" 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">По-прежнему будем рассматривать<sp count="2"/>систему линейных алгебраических уравнений</f> <f family="Arial Cyr" charset="204" size="12">с сильно разреженной матрицей, </f> <f family="Arial Cyr" charset="204" size="12">задающую алгоритм пересчета краевых условий</f> <f family="Arial Cyr" charset="204" size="12">от предыдущего участка к последующему<sp count="2"/>в общем виде и представляемую </f> <f family="Arial Cyr" charset="204" size="12">формулой</f> <f family="Arial Cyr" charset="204" size="12">:</f> </text> </region> <region region-id="1413" left="36" top="258.75" width="279.75" height="17.25" align-x="75.75" align-y="270" 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">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">B</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:id xml:space="preserve" font="1">...</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">D</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">m</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">C</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="2"/> </region> <region region-id="1756" left="336" top="258.75" width="64.5" height="15.75" align-x="366" align-y="270" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:range xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">i</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">m</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> </math> <rendering item-idref="3"/> </region> <region region-id="1757" left="414" top="258.75" width="68.25" height="15.75" align-x="447.75" align-y="270" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:range xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">k</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">K</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> </math> <rendering item-idref="4"/> </region> <region region-id="1486" left="24" top="282.75" width="491.25" height="183" align-x="24" 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">Где m - порядок диф. ур.; К - число участков припасовывания или дискретных </f> <f family="Arial Cyr" charset="204" size="12">значений переменных, вводимое для численного решения задачи; i - порядок производной или номер краевого условия; </f> <f family="Arial Cyr" charset="204" size="12">k - номер участка припасовывания.</f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> <region region-id="1417" left="27" top="324" width="21" height="17.25" align-x="36.75" align-y="335.25" 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:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </math> <rendering item-idref="5"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> - дискретные значения искомого решения, записываемые в матрицу "Z". </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">Смысл матриц А, В, ..., С будет пояснен ниже. </inlineAttr> </f> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">В частном случае, когда заданы все<sp count="2"/>Z</f> </inlineAttr> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">i,0</f> </inlineAttr> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12"> - начальные условия задачи Коши, </f> </inlineAttr> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">формула (1) определяет их пересчет (алгоритм пересчета м.б. разным) в конеч-</f> </inlineAttr> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">ные значения Z(x) на участке припасовывания (или начальные значения последу-</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">ющего участка припасовывания). Вместо начальных условий могут быть заданы краевые, отличие которых от начальных условий состоит в том, что какая-то часть </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">из них задана вначале, а другая - в конце интервала изменения переменных. </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> Ниже приводится алгоритм решения для случая 4-х диагональной матрицы.<sp count="2"/>Параметры дифференциального уравнения следующие: m=2,<sp count="2"/>далее см. по тексту. </inlineAttr> </f> </text> </region> <region region-id="1428" left="18" top="486.75" width="500.25" height="109.5" align-x="18" align-y="498" 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">Описанный ниже алгоритм справедлив для дифференциального<sp count="2"/>уравнения (линей-</f> <f family="Arial Cyr" charset="204" size="12">ного): </f> <f family="Arial Cyr" charset="204" size="12"> <sp count="49"/> </f> <region region-id="1427" left="165" top="514.5" width="88.5" height="15.75" align-x="225" align-y="525.75" 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:plus/> <ml:id xml:space="preserve">z''</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> <ml:id xml:space="preserve">z</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="6"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="60"/>(1)</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">с заданными граничными условиями:<sp count="2"/> </inlineAttr> </f> <region region-id="1429" left="225.75" top="531" width="72" height="17.25" align-x="264.75" align-y="542.25" 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:id xml:space="preserve">Z</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">X</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </math> <rendering item-idref="7"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>,<sp count="3"/>Z(x</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">K</f> <f family="Arial Cyr" charset="204" size="12">)=Z</f> <f family="Arial Cyr" charset="204" size="12">0,K </f> <f family="Arial Cyr" charset="204" size="12">(</f> <f family="Arial Cyr" charset="204" size="12">или<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">Z'(x</f> <f family="Arial Cyr" charset="204" size="12"> K </f> <f family="Arial Cyr" charset="204" size="12">)=Z</f> <f family="Arial Cyr" charset="204" size="12"> 1 </f> <f family="Arial Cyr" charset="204" size="12"> ,K </f> <f family="Arial Cyr" charset="204" size="12">), но просто обобщается на случай уравнений более высокого порядка, имеющих гладкое решение и разрешенных относительно стар</f> <f family="Arial Cyr" charset="204" size="12">шей производной. </f> <f family="Arial Cyr" charset="204" size="12">Для участка с номером "k" решение будем искать в виде:</f> </text> </region> <region region-id="1431" left="24" top="615" width="432.75" height="35.25" align-x="69" align-y="636" 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="auto-select"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:id xml:space="preserve">x</ml:id> </ml:parens> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>3</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>4</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve" font="1">...</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="8"/> </region> <region region-id="1455" left="492" top="624.75" width="15.75" height="15.75" align-x="498.75" align-y="636" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>2</ml:real> </ml:parens> </math> <rendering item-idref="9"/> </region> <region region-id="1784" left="90" top="660" width="165.75" height="33.75" align-x="90" align-y="660" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{0002CE03-0000-0000-C000-000000000046}" type="embedded" item-idref="10"/> <rendering item-idref="11"/> </region> <region region-id="1783" left="30" top="672.75" width="21" height="13.5" align-x="30" align-y="684" 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">Или</f> </text> </region> <region region-id="1787" left="24" top="732.75" width="482.25" height="43.5" align-x="24" align-y="744" 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">В (2) введены следующие обозначения: Z</f> <f family="Arial Cyr" charset="204" size="12"> 0,k </f> <f family="Arial Cyr" charset="204" size="12">(x) - функция от х;<sp count="2"/>z</f> <f family="Arial Cyr" charset="204" size="12"> i,k </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal">/</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">i! - коэффициент</f> <f family="Arial Cyr" charset="204" size="12">ряда Тейлора решения дифференциального уравнения</f> <f family="Arial Cyr" charset="204" size="12">. Отсюда из уравнения (2) формально можно записать</f> </text> </region> <region region-id="1792" left="36" top="792" width="204.75" height="33" align-x="36" align-y="792" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{0002CE03-0000-0000-C000-000000000046}" type="embedded" item-idref="12"/> <rendering item-idref="13"/> </region> <region region-id="1793" left="30" top="840.75" width="393.75" height="16.5" align-x="30" align-y="852" 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">и получить значение первой производной от </f> <f family="Arial Cyr" charset="204" size="12">функции </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 0,k </f> <f family="Arial Cyr" charset="204" size="12">(x) на участке k</f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> </text> </region> <region region-id="1434" left="24" top="873" width="346.5" height="35.25" align-x="69" 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:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:id xml:space="preserve">x</ml:id> </ml:parens> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>3</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:sequence> <ml:real>4</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</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:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve" font="1">...</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="14"/> </region> <region region-id="1454" left="492" top="882.75" width="15.75" height="15.75" align-x="498.75" 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:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>3</ml:real> </ml:parens> </math> <rendering item-idref="15"/> </region> <region region-id="1794" left="30" top="912" width="477" height="58.5" align-x="30" align-y="924" 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">Именно эти выражения (2)-(3) необходимо пересчитывать на каждом участке </f> <f family="Arial Cyr" charset="204" size="12"> k </f> <f family="Arial Cyr" charset="204" size="12"> из </f> <f family="Arial Cyr" charset="204" size="12">начальных<sp count="2"/>Z</f> <f family="Arial Cyr" charset="204" size="12"> s </f> <f family="Arial Cyr" charset="204" size="12"> ,k </f> <f family="Arial Cyr" charset="204" size="12">в конечные</f> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> s </f> <f family="Arial Cyr" charset="204" size="12">,k+1</f> <f family="Arial Cyr" charset="204" size="12">, где<sp count="2"/>s=0,1,...(m-1),<sp count="3"/>m</f> <f family="Arial Cyr" charset="204" size="12"> - порядок дифференциального</f> <f family="Arial Cyr" charset="204" size="12">уравнения или число задаваемых краевых условий. Коротко производную порядка s</f> <f family="Arial Cyr" charset="204" size="12">на участке<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12"> k </f> <f family="Arial Cyr" charset="204" size="12"> можно записать так:</f> </text> </region> <region region-id="1795" left="156" top="981" width="274.5" height="51" align-x="156" align-y="1008" 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"> <region region-id="1724" left="156" top="981.75" width="274.5" height="50.25" align-x="289.5" 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:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:equal/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">s</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:id xml:space="preserve">x</ml:id> </ml:parens> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:parens> <ml:id xml:space="preserve">x</ml:id> </ml:parens> </ml:apply> </ml:parens> </ml:lambda> <ml:degree> <ml:id xml:space="preserve">s</ml:id> </ml:degree> </ml:apply> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:factorial/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:lambda> <ml:bounds> <ml:id xml:space="preserve">s</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:bounds> </ml:apply> </ml:apply> </math> <rendering item-idref="16"/> </region> </text> </region> <region region-id="1796" left="36" top="1038.75" width="474" height="46.5" align-x="36" align-y="1050" 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 коэффициентов ряда Тейлора функции </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 0,k </f> <f family="Arial Cyr" charset="204" size="12">(x) (2) определяются из началь- ных (краевых) условий и путем дифференцирования исходного уравнения с исклю- чением старшей производной и подстановкой x=x</f> <f family="Arial Cyr" charset="204" size="12"> k </f> <f family="Arial Cyr" charset="204" size="12">как показано ниже</f> </text> </region> <region region-id="1438" left="90" top="1098.75" width="102" height="17.25" align-x="120.75" 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:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>2</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="17"/> </region> <region region-id="1439" left="216" top="1098.75" width="159" height="17.25" align-x="246.75" 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:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>3</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="18"/> </region> <region region-id="1453" left="492" top="1104.75" width="15.75" height="15.75" align-x="498.75" align-y="1116" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>4</ml:real> </ml:parens> </math> <rendering item-idref="19"/> </region> <region region-id="1442" left="96" top="1134.75" width="276.75" height="17.25" align-x="126.75" align-y="1146" 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">Z</ml:id> <ml:sequence> <ml:real>4</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f''</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P''</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="20"/> </region> <region region-id="1458" left="492" top="1134.75" width="15.75" height="15.75" align-x="498.75" align-y="1146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>5</ml:real> </ml:parens> </math> <rendering item-idref="21"/> </region> <region region-id="1800" left="108" top="1170" width="125.25" height="33" align-x="108" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{0002CE03-0000-0000-C000-000000000046}" type="embedded" item-idref="22"/> <rendering item-idref="23"/> </region> <region region-id="1801" left="30" top="1182.75" width="45" height="13.5" align-x="30" align-y="1194" 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">Причем:</f> </text> </region> <region region-id="1464" left="18" top="1218" width="485.25" height="36" align-x="18" align-y="1230" 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">Учитывая. что<sp count="2"/> </f> <region region-id="1462" left="102" top="1218.75" width="69.75" height="17.25" align-x="132" align-y="1230" 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:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="24"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> , Z</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> i,k </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">(x</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> k+1 </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">)=Z</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">i,k+1</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="3"/>и, подставляя в (2), (3) выражения</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> (4), (5), получим (для k=0..K-1):</inlineAttr> </f> </text> </region> <region region-id="1465" left="30" top="1266.75" width="174" height="17.25" align-x="72.75" align-y="1278" 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">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">B</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">C</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="25"/> </region> <region region-id="1495" left="222" top="1266.75" width="172.5" height="17.25" align-x="264.75" align-y="1278" 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">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">G</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="26"/> </region> <region region-id="1496" left="408" top="1266.75" width="68.25" height="15.75" align-x="441.75" align-y="1278" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:range xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">k</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">K</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> </math> <rendering item-idref="27"/> </region> <region region-id="1470" left="492" top="1266.75" width="15.75" height="15.75" align-x="498.75" align-y="1278" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>6</ml:real> </ml:parens> </math> <rendering item-idref="28"/> </region> <region region-id="1725" left="30" top="1288.5" width="423" height="79.5" align-x="30" align-y="1314" 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">Где:<sp count="2"/> </f> <region region-id="1726" left="58.5" top="1289.25" width="234" height="39" align-x="80.25" align-y="1314" 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">A</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P''</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="29"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>,<sp count="2"/> </inlineAttr> </f> <region region-id="1728" left="308.25" top="1289.25" width="135" height="39" align-x="328.5" align-y="1314" 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">B</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="30"/> </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="1729" left="30" top="1329" width="201.75" height="39" align-x="51" align-y="1353.75" 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:indexer/> <ml:id xml:space="preserve">C</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f'</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f''</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="31"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ,<sp count="2"/> </inlineAttr> </f> <region region-id="1731" left="244.5" top="1332.75" width="59.25" height="36.75" align-x="265.5" align-y="1353.75" 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:indexer/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:lambda> </ml:apply> </ml:apply> </math> <rendering item-idref="32"/> </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="1732" left="313.5" top="1332.75" width="56.25" height="36.75" align-x="333" align-y="1353.75" 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:indexer/> <ml:id xml:space="preserve">E</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">B</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:lambda> </ml:apply> </ml:apply> </math> <rendering item-idref="33"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12"> ,<sp count="2"/> </f> </inlineAttr> <region region-id="1733" left="382.5" top="1332.75" width="58.5" height="36.75" align-x="403.5" align-y="1353.75" 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:indexer/> <ml:id xml:space="preserve">G</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">C</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:lambda> </ml:apply> </ml:apply> </math> <rendering item-idref="34"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/> </inlineAttr> </f> </text> </region> <region region-id="1473" left="24" top="1410.75" width="491.25" height="54" align-x="24" 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">Здесь коэффициенты A, B, C, D, E, G известны и будут определяться таким образом ниже при решении конкретных задач. Формулы (6) далее будут использованы как рекуррентные при нахождении решения краевой задачи. Они представляют собой систему линейных алгебраических уравнений в виде 4-х диагональной матрицы. </f> </text> </region> <region region-id="1867" left="30" top="1494.75" width="492" height="13.5" align-x="30" align-y="1506" 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">Решать (6) можно методом Гаусса, последовательно исключая неизвестные переменные.</f> </text> </region> <region region-id="1859" left="30" top="1536.75" width="459.75" height="63" align-x="30" align-y="1548" 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">В первой паре уравнений (6)<sp count="2"/>известным будет Z</f> <f family="Arial Cyr" charset="204" size="12"> 0,0 </f> <f family="Arial Cyr" charset="204" size="12"> . Следовательно,<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">значения</f> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 0,1<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">и</f> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 1 </f> <f family="Arial Cyr" charset="204" size="12"> ,1 </f> <f family="Arial Cyr" charset="204" size="12">можно будет выразить через </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 1 </f> <f family="Arial Cyr" charset="204" size="12"> ,0 </f> <f family="Arial Cyr" charset="204" size="12">. Этот процесс исключения </f> <f family="Arial Cyr" charset="204" size="12">можно продолжить для второй и последующих пар и всякий раз выражать </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> i </f> <f family="Arial Cyr" charset="204" size="12"> ,k<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">через</f> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 1 </f> <f family="Arial Cyr" charset="204" size="12"> ,0 </f> <f family="Arial Cyr" charset="204" size="12">. Предположим это нам удалось сделать для<sp count="2"/>(k-1)-й пары<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">уравнений: </f> </text> </region> <region region-id="1474" left="54" top="1614" width="158.25" height="18" align-x="93.75" align-y="1626" 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">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="35"/> </region> <region region-id="1476" left="246" top="1614.75" width="42" height="15.75" align-x="276" align-y="1626" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:range xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">i</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:range> </math> <rendering item-idref="36"/> </region> <region region-id="1860" left="480" top="1614.75" width="15.75" height="15.75" align-x="486.75" align-y="1626" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>7</ml:real> </ml:parens> </math> <rendering item-idref="37"/> </region> <region region-id="1481" left="24" top="1649.25" width="483" height="114" align-x="24" align-y="1662" 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">Тогда, подставляя (7) в (6), получим: </f> <region region-id="1482" left="224.25" top="1650" width="122.25" height="18" align-x="252" align-y="1662" 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">Z</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="38"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> . Сравнивая результат подстановки с последним выражением, получим рекуррентные формулы вычисления коэффициентов </inlineAttr> </f> <region region-id="1483" left="114.75" top="1682.25" width="24" height="16.5" align-x="126" align-y="1694.25" 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:id xml:space="preserve">α</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:sequence> </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"> (всё это справедливо для линейных </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">уравнений)</inlineAttr> </f> <region region-id="1572" left="24" top="1713" width="189.75" height="18" align-x="57" align-y="1725" 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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">B</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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </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"> ,<sp count="3"/> </inlineAttr> </f> <region region-id="1573" left="229.5" top="1713" width="226.5" height="18" align-x="261.75" align-y="1725" 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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">A</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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">B</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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">C</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="41"/> </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="1574" left="24" top="1731.75" width="188.25" height="18" align-x="57" align-y="1743.75" 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:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">D</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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="42"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/>,<sp count="3"/> </f> </inlineAttr> <region region-id="1575" left="231" top="1731.75" width="225" height="18" align-x="263.25" align-y="1743.75" 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:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">D</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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">G</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="43"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12"> <sp count="3"/>(7a)</f> </inlineAttr> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">Ниже будет приведен алгоритм вычисления этих </f> </inlineAttr> <f family="Arial Cyr" charset="204" size="12">коэффициентов.</f> </text> </region> <region region-id="1354" left="24" top="1794.75" width="487.5" height="73.5" align-x="24" align-y="1812" 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">Приведем</f> <f family="Arial Cyr" charset="204" size="12"> пример </f> <f family="Arial Cyr" charset="204" size="12"> решения уравнения </f> <region region-id="49" left="241.5" top="1795.5" width="60.75" height="21" align-x="276" align-y="1812" 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:plus/> <ml:id xml:space="preserve">z''</ml:id> <ml:id xml:space="preserve">z</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="44"/> </region> <f family="Arial Cyr" charset="204" size="12"> <sp count="2"/>с граничными условиями: </f> <region region-id="54" left="450" top="1800.75" width="43.5" height="15.75" align-x="477.75" align-y="1812" 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">z</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:apply> </math> <rendering item-idref="45"/> </region> <f family="Arial Cyr" charset="204" size="12"> ,<sp count="2"/> </f> <region region-id="55" left="24" top="1817.25" width="53.25" height="34.5" align-x="61.5" align-y="1837.5" 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">z</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </math> <rendering item-idref="46"/> </region> <f family="Arial Cyr" charset="204" size="12"> <sp count="3"/>(другим примером может быть z'' + p(t)*z = f(t), где p(t)=t^2 или t, </f> <f family="Arial Cyr" charset="204" size="12">f(t)=sin(t)*e</f> <f family="Arial Cyr" charset="204" size="12">-t</f> <f family="Arial Cyr" charset="204" size="12">).</f> <f family="Arial Cyr" charset="204" size="12"> <sp count="3"/>Точное решение этого уравнения с учетом краевых условий есть:</f> </text> </region> <region region-id="1942" left="60" top="1902.75" width="36" height="17.25" align-x="79.5" align-y="1914" 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>0</ml:real> </ml:define> </math> <rendering item-idref="47"/> </region> <region region-id="1943" left="120" top="1893.75" width="37.5" height="34.5" align-x="135.75" align-y="1914" 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:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="48"/> </region> <region region-id="1944" left="180" top="1902.75" width="30.75" height="15.75" align-x="194.25" align-y="1914" 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">a</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="1945" left="234" top="1902.75" width="37.5" height="15.75" align-x="255" align-y="1914" 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">ak</ml:id> <ml:real>2</ml:real> </ml:define> </math> <rendering item-idref="50"/> </region> <region region-id="1946" left="312" top="1902.75" width="53.25" height="17.25" align-x="350.25" align-y="1914" 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">yt</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </math> <rendering item-idref="51"/> </region> <region region-id="1947" left="396" top="1902.75" width="54.75" height="15.75" align-x="429" align-y="1914" 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">yt</ml:id> <ml:id xml:space="preserve">b</ml:id> </ml:apply> <ml:id xml:space="preserve">ak</ml:id> </ml:apply> </math> <rendering item-idref="52"/> </region> <region region-id="1577" left="24" top="1953" width="234" height="47.25" align-x="54.75" align-y="1986" 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">yt</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:real>4</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="53"/> </region> <region region-id="1909" left="336" top="1974.75" width="60.75" height="17.25" align-x="374.25" align-y="1986" 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">yt</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="54"/> </region> <region region-id="1581" left="414" top="1974.75" width="55.5" height="15.75" align-x="447" align-y="1986" 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">yt</ml:id> <ml:id xml:space="preserve">b</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2</ml:real> </result> </ml:eval> </math> <rendering item-idref="55"/> </region> <region region-id="1872" left="30" top="2034" width="89.25" height="14.25" align-x="30" align-y="2046" 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"> Пусть заданы: </f> </text> </region> <region region-id="1869" left="198" top="2034.75" width="47.25" height="15.75" align-x="228.75" align-y="2046" 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">P</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="56"/> </region> <region region-id="1870" left="276" top="2029.5" width="60" height="21" align-x="306.75" align-y="2046" 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">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="57"/> </region> <region region-id="1878" left="24" top="2070.75" width="410.25" height="13.5" align-x="24" align-y="2082" 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">Метод припасовывания предполагает дифференцирование уравнения (2). </f> </text> </region> <region region-id="1884" left="186" top="2109.75" width="90" height="44.25" align-x="223.5" align-y="2136" 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">f</ml:id> <ml:boundVars> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <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">F</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:lambda> <ml:degree> <ml:id xml:space="preserve">j</ml:id> </ml:degree> </ml:apply> </ml:define> </math> <rendering item-idref="58"/> </region> <region region-id="1883" left="30" top="2184.75" width="435" height="13.5" align-x="30" align-y="2196" 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">Поэтому нам необходимо знать:</f> </text> </region> <region region-id="1249" left="36" top="2220.75" width="132.75" height="13.5" align-x="36" align-y="2232" 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">1) дискрет по "x":</f> </text> </region> <region region-id="1251" left="258" top="2220.75" width="61.5" height="15.75" align-x="285" align-y="2232" 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">KK</ml:id> <ml:real>1000</ml:real> </ml:define> </math> <rendering item-idref="59"/> </region> <region region-id="1252" left="342" top="2220.75" width="45" height="15.75" align-x="354.75" align-y="2232" 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:real>2</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="60"/> </region> <region region-id="1424" left="36" top="2259" width="59.25" height="35.25" align-x="51" align-y="2280" 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:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">b</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">KK</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="61"/> </region> <region region-id="1423" left="114" top="2263.5" width="100.5" height="21" align-x="127.5" align-y="2280" 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>0.0015707963267948967</ml:real> </result> </ml:eval> </math> <rendering item-idref="62"/> </region> <region region-id="1738" left="228" top="2268.75" width="60" height="15.75" align-x="243.75" align-y="2280" 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">KK</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="63"/> </region> <region region-id="1739" left="300" top="2268.75" width="70.5" height="17.25" align-x="319.5" align-y="2280" 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:id xml:space="preserve">k</ml:id> </ml:apply> <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">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="64"/> </region> <region region-id="1740" left="396" top="2253.75" width="93" height="44.25" align-x="436.5" align-y="2280" 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">p</ml:id> <ml:boundVars> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <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">P</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:lambda> <ml:degree> <ml:id xml:space="preserve">j</ml:id> </ml:degree> </ml:apply> </ml:define> </math> <rendering item-idref="65"/> </region> <region region-id="1948" left="30" top="2310.75" width="79.5" height="13.5" align-x="30" align-y="2322" 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">Из уравнений: </f> </text> </region> <region region-id="1950" left="126" top="2310.75" width="74.25" height="17.25" align-x="144" align-y="2322" 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>0</ml:real> </ml:apply> <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">k0</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="66"/> </region> <region region-id="1951" left="222" top="2310.75" width="71.25" height="17.25" align-x="236.25" align-y="2322" 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">b</ml:id> <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">kk</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="67"/> </region> <region region-id="1980" left="36" top="2358.75" width="45.75" height="13.5" align-x="36" align-y="2370" 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">находим</f> </text> </region> <region region-id="1979" left="102" top="2349" width="81.75" height="35.25" align-x="123.75" align-y="2370" 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">k0</ml:id> <ml:apply> <ml:id xml:space="preserve">floor</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="68"/> </region> <region region-id="1978" left="198" top="2358.75" width="42.75" height="15.75" align-x="218.25" align-y="2370" 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">k0</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="69"/> </region> <region region-id="1981" left="258" top="2349" width="102.75" height="35.25" align-x="280.5" align-y="2370" 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">kk</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">x</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="70"/> </region> <region region-id="1977" left="384" top="2358.75" width="55.5" height="15.75" align-x="405" align-y="2370" 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">kk</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>999</ml:real> </result> </ml:eval> </math> <rendering item-idref="71"/> </region> <region region-id="1976" left="438" top="2358.75" width="63.75" height="15.75" align-x="452.25" align-y="2370" 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>1.5707963267948966</ml:real> </result> </ml:eval> </math> <rendering item-idref="72"/> </region> <region region-id="1999" left="24" top="2394" width="467.25" height="41.25" align-x="24" align-y="2406" 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"> Примечание </f> <f family="Arial Cyr" charset="204" size="12">. Так как (b-x[0])/h=KK всегда, то kk=KK и далее вместо kk следует брать </f> <f family="Arial Cyr" charset="204" size="12">KK, хотя как было видно из-за приближенной арифметики kk может отличаться незначительно от<sp count="2"/>KK.</f> </text> </region> <region region-id="1969" left="24" top="2448.75" width="111" height="13.5" align-x="24" align-y="2460" 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">2) краевые условия:</f> </text> </region> <region region-id="1968" left="162" top="2448.75" width="54.75" height="17.25" align-x="201" align-y="2460" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k0</ml:id> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:define> </math> <rendering item-idref="73"/> </region> <region region-id="1967" left="240" top="2448.75" width="65.25" height="17.25" align-x="282.75" align-y="2460" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">ak</ml:id> </ml:define> </math> <rendering item-idref="74"/> </region> <region region-id="1983" left="348" top="2448.75" width="72.75" height="17.25" align-x="371.25" align-y="2460" 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:id xml:space="preserve">kk</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.5692255304681018</ml:real> </result> </ml:eval> </math> <rendering item-idref="75"/> </region> <region region-id="1875" left="30" top="2478.75" width="368.25" height="13.5" align-x="30" align-y="2490" 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">3)<sp count="2"/>дискретные значения функций, вычисленные в 3*(КК+1) - точках.</f> </text> </region> <region region-id="1295" left="42" top="2502.75" width="39" height="17.25" align-x="48.75" align-y="2514" 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">p</ml:id> <ml:sequence> <ml:id xml:space="preserve">j</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:sequence> </ml:apply> </math> <rendering item-idref="76"/> </region> <region region-id="1297" left="96" top="2502.75" width="36" height="17.25" align-x="99.75" align-y="2514" 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">f</ml:id> <ml:sequence> <ml:id xml:space="preserve">j</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:sequence> </ml:apply> </math> <rendering item-idref="77"/> </region> <region region-id="1300" left="30" top="2532.75" width="462" height="13.5" align-x="30" align-y="2544" 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">4)<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">дискретные значения коэффициентов, вычисленные в</f> <f family="Arial Cyr" charset="204" size="12"> (КК+1) - точках:</f> </text> </region> <region region-id="1275" left="24" top="2573.25" width="364.5" height="39" align-x="78.75" align-y="2598" 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">AA</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>0</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>1</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>2</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>0</ml:real> <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:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="78"/> </region> <region region-id="1277" left="396" top="2577" width="116.25" height="36.75" align-x="441.75" align-y="2598" 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">D</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">AA</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:define> </math> <rendering item-idref="79"/> </region> <region region-id="1278" left="18" top="2639.25" width="371.25" height="39" align-x="72" align-y="2664" 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">CC</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:sequence> <ml:real>0</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:sequence> <ml:real>1</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:sequence> <ml:real>2</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:sequence> <ml:real>0</ml:real> <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">p</ml:id> <ml:sequence> <ml:real>0</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="80"/> </region> <region region-id="1279" left="396" top="2643" width="123.75" height="36.75" align-x="450" align-y="2664" 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">GG</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">CC</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:define> </math> <rendering item-idref="81"/> </region> <region region-id="1280" left="18" top="2699.25" width="215.25" height="39" align-x="63" align-y="2724" 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">B</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>0</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:apply> <ml:id xml:space="preserve">p</ml:id> <ml:sequence> <ml:real>1</ml:real> <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:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">h</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:factorial/> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="82"/> </region> <region region-id="1281" left="258" top="2703" width="105" height="36.75" align-x="302.25" align-y="2724" 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">E</ml:id> <ml:boundVars> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">B</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:lambda> </ml:apply> </ml:define> </math> <rendering item-idref="83"/> </region> <region region-id="1366" left="18" top="2753.25" width="468.75" height="51" align-x="18" align-y="2766" 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">Зададим также для единообразия: </f> <region region-id="1303" left="210" top="2754" width="51" height="18" align-x="244.5" align-y="2766" 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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="84"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>, </inlineAttr> </f> <region region-id="1304" left="273.75" top="2754" width="51" height="18" align-x="308.25" align-y="2766" 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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="85"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ,<sp count="2"/> </inlineAttr> </f> <region region-id="1306" left="337.5" top="2754" width="49.5" height="18" align-x="371.25" align-y="2766" 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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:define> </math> <rendering item-idref="86"/> </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="1307" left="396.75" top="2754" width="50.25" height="18" align-x="430.5" align-y="2766" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="87"/> </region> <f family="Arial Cyr" charset="204" size="12">Т</f> <f family="Arial Cyr" charset="204" size="12">аким образом, получили:</f> <f family="Arial Cyr" charset="204"> <sp/> </f> <region region-id="1511" left="161.25" top="2772.75" width="134.25" height="18" align-x="193.5" align-y="2784.75" 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:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="88"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>,<sp count="2"/> </inlineAttr> </f> <region region-id="1512" left="311.25" top="2772.75" width="134.25" height="18" align-x="343.5" align-y="2784.75" 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:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="89"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ,<sp count="3"/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> <f family="Arial Cyr" charset="204" size="12">Теперь вычислим:</f> </text> </region> <region region-id="1365" left="36" top="2820" width="283.5" height="130.5" align-x="54" align-y="2832" 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">α</ml:id> <ml:program> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>1</ml:real> </ml:localDefine> <ml:for> <ml:id xml:space="preserve">k</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">KK</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> <ml:program> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">AA</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">B</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">D</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">E</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:localDefine> </ml:program> </ml:for> <ml:id xml:space="preserve">α</ml:id> </ml:program> </ml:define> </math> <rendering item-idref="90"/> </region> <region region-id="1695" left="36" top="3006" width="339" height="130.5" align-x="53.25" align-y="3018" 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">β</ml:id> <ml:program> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:localDefine> <ml:for> <ml:id xml:space="preserve">k</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">KK</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> <ml:program> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">AA</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">B</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">CC</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">k</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">D</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">E</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">GG</ml:id> <ml:sequence> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:localDefine> </ml:program> </ml:for> <ml:id xml:space="preserve">β</ml:id> </ml:program> </ml:define> </math> <rendering item-idref="91"/> </region> <region region-id="1589" left="36" top="3156.75" width="373.5" height="13.5" align-x="36" align-y="3168" 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 визуальной проверки выведем на дисплей некоторые значения:</f> </text> </region> <region region-id="1764" left="36" top="3186" width="90.75" height="18" align-x="77.25" align-y="3198" 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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.60393978861178022</ml:real> </result> </ml:eval> </math> <rendering item-idref="92"/> </region> <region region-id="1763" left="126" top="3186" width="97.5" height="18" align-x="167.25" align-y="3198" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-0.6039397877543341</ml:real> </result> </ml:eval> </math> <rendering item-idref="93"/> </region> <region region-id="1761" left="252" top="3186" width="64.5" height="18" align-x="294" align-y="3198" 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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0000000000908043</ml:real> </result> </ml:eval> </math> <rendering item-idref="94"/> </region> <region region-id="1765" left="336" top="3181.5" width="128.25" height="22.5" align-x="378" align-y="3198" 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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.6129656402994195E-10</ml:real> </result> </ml:eval> </math> <rendering item-idref="95"/> </region> <region region-id="1876" left="24" top="3215.25" width="490.5" height="65.25" align-x="24" align-y="3228" 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">Заметим, что коэффициенты </f> <region region-id="1712" left="185.25" top="3216" width="54" height="18" align-x="210" align-y="3228" 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">α</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:sequence> </math> <rendering item-idref="96"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>, в данном примере не зависят от краевых (граничных) условий. Коэффициент </inlineAttr> </f> <region region-id="1713" left="218.25" top="3234.75" width="25.5" height="18" align-x="230.25" align-y="3246.75" 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:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </math> <rendering item-idref="97"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> , зависит от Y</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> 0,0 </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> таким образом: при </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">Y</f> <f family="Arial Cyr" charset="204" size="12">0,0</f> <f family="Arial Cyr" charset="204" size="12">=0</f> <region region-id="1715" left="24" top="3258" width="84" height="18" align-x="65.25" align-y="3270" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:real>0.3961</ml:real> </ml:apply> </math> <rendering item-idref="98"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial Cyr" charset="204" size="12">, при </f> </inlineAttr> <f family="Arial Cyr" charset="204" size="12">Y</f> <f family="Arial Cyr" charset="204" size="12">0,0</f> <f family="Arial Cyr" charset="204" size="12">=1 </f> <region region-id="1716" left="172.5" top="3258" width="103.5" height="18" align-x="213.75" align-y="3270" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:minus/> <ml:real>0.3961</ml:real> <ml:real>1</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="99"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ,<sp count="2"/>при </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">Y</f> <f family="Arial Cyr" charset="204" size="12">0,0</f> <f family="Arial Cyr" charset="204" size="12">=2<sp count="2"/> </f> <region region-id="1717" left="349.5" top="3258" width="103.5" height="18" align-x="390.75" align-y="3270" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:minus/> <ml:real>0.3961</ml:real> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="100"/> </region> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> и<sp count="2"/>т. д.</inlineAttr> </f> </text> </region> <region region-id="1770" left="36" top="3300.75" width="183.75" height="13.5" align-x="36" align-y="3312" 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">Напомним граничные условия:</f> </text> </region> <region region-id="1769" left="234" top="3300.75" width="76.5" height="17.25" align-x="261" align-y="3312" 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:id xml:space="preserve">KK</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.5707963267948966</ml:real> </result> </ml:eval> </math> <rendering item-idref="101"/> </region> <region region-id="1768" left="318" top="3300.75" width="60" height="17.25" align-x="355.5" align-y="3312" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k0</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="102"/> </region> <region region-id="2003" left="396" top="3300.75" width="63.75" height="17.25" align-x="437.25" align-y="3312" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2</ml:real> </result> </ml:eval> </math> <rendering item-idref="103"/> </region> <region region-id="1993" left="30" top="3336.75" width="36.75" height="13.5" align-x="30" align-y="3348" 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">Здесь:</f> </text> </region> <region region-id="1992" left="102" top="3336.75" width="55.5" height="15.75" align-x="123" align-y="3348" 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">kk</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>999</ml:real> </result> </ml:eval> </math> <rendering item-idref="104"/> </region> <region region-id="1991" left="174" top="3331.5" width="77.25" height="21" align-x="199.5" align-y="3348" 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">KK</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1000</ml:real> </result> </ml:eval> </math> <rendering item-idref="105"/> </region> <region region-id="2001" left="276" top="3336.75" width="60" height="17.25" align-x="313.5" align-y="3348" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">kk</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="106"/> </region> <region region-id="1622" left="36" top="3372.75" width="295.5" height="16.5" align-x="36" align-y="3384" 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">Исходя из (7), если задана функция Y</f> <f family="Arial Cyr" charset="204" size="12"> 0,KK </f> <f family="Arial Cyr" charset="204" size="12">, </f> <f family="Arial Cyr" charset="204" size="12"> вычисляем:</f> </text> </region> <region region-id="1804" left="360" top="3362.25" width="128.25" height="38.25" align-x="393.75" align-y="3384" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="107"/> </region> <region region-id="1631" left="36" top="3415.5" width="425.25" height="48.75" align-x="36" align-y="3438" 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">Если же задана её производная Y</f> <f family="Arial Cyr" charset="204" size="12"> 1,KK </f> <f family="Arial Cyr" charset="204" size="12">, то вычисляем:<sp count="3"/> </f> <region region-id="1632" left="334.5" top="3416.25" width="126" height="38.25" align-x="366.75" align-y="3438" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="108"/> </region> </text> </region> <region region-id="1648" left="30" top="3480.75" width="94.5" height="13.5" align-x="30" align-y="3492" 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">Вычислим далее:</f> </text> </region> <region region-id="1649" left="138" top="3480.75" width="60" height="15.75" align-x="153.75" align-y="3492" 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">KK</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="109"/> </region> <region region-id="1650" left="210" top="3480" width="136.5" height="18" align-x="243.75" align-y="3492" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="110"/> </region> <region region-id="1651" left="360" top="3480" width="136.5" height="18" align-x="393.75" align-y="3492" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="111"/> </region> <region region-id="1647" left="30" top="3510.75" width="180.75" height="13.5" align-x="30" align-y="3522" 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">Выведем на дисплей значение:</f> </text> </region> <region region-id="1745" left="216" top="3510.75" width="97.5" height="17.25" align-x="257.25" align-y="3522" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-0.60393978738954834</ml:real> </result> </ml:eval> </math> <rendering item-idref="112"/> </region> <region region-id="1771" left="30" top="3540.75" width="474.75" height="27" align-x="30" align-y="3552" 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">Остальные компоненты представлены в виде разворачиваемой в электронной версии пособия матрицы Y.</f> </text> </region> <region region-id="1652" left="18" top="3611.25" width="407.25" height="39.75" align-x="33.75" align-y="3630" 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">Y</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="2" cols="1001"> <ml:real>1</ml:real> <ml:real>1.3960602112614515</ml:real> <ml:real>1.0021929247043186</ml:real> <ml:real>1.3960572558873</ml:real> <ml:real>1.0043858401255794</ml:real> <ml:real>1.3960483923522911</ml:real> <ml:real>1.006578736986318</ml:real> <ml:real>1.3960336245449576</ml:real> <ml:real>1.0087716060151841</ml:real> <ml:real>1.3960129563623334</ml:real> <ml:real>1.0109644379469567</ml:real> <ml:real>1.3959863917099495</ml:real> <ml:real>1.0131572235225554</ml:real> <ml:real>1.3959539345018373</ml:real> <ml:real>1.0153499534890553</ml:real> <ml:real>1.3959155886605263</ml:real> <ml:real>1.017542618599699</ml:real> <ml:real>1.395871358117045</ml:real> <ml:real>1.0197352096139112</ml:real> <ml:real>1.3958212468109204</ml:real> <ml:real>1.0219277172973109</ml:real> <ml:real>1.3957652586901772</ml:real> <ml:real>1.0241201324217257</ml:real> <ml:real>1.3957033977113387</ml:real> <ml:real>1.0263124457652051</ml:real> <ml:real>1.3956356678394248</ml:real> <ml:real>1.0285046481120324</ml:real> <ml:real>1.395562073047953</ml:real> <ml:real>1.0306967302527403</ml:real> <ml:real>1.3954826173189376</ml:real> <ml:real>1.0328886829841226</ml:real> <ml:real>1.3953973046428891</ml:real> <ml:real>1.035080497109248</ml:real> <ml:real>1.395306139018814</ml:real> <ml:real>1.0372721634374738</ml:real> <ml:real>1.3952091244542137</ml:real> <ml:real>1.0394636727844584</ml:real> <ml:real>1.3951062649650845</ml:real> <ml:real>1.041655015972176</ml:real> <ml:real>1.3949975645759163</ml:real> <ml:real>1.0438461838289286</ml:real> <ml:real>1.3948830273196937</ml:real> <ml:real>1.0460371671893596</ml:real> <ml:real>1.3947626572378928</ml:real> <ml:real>1.0482279568944677</ml:real> <ml:real>1.3946364583804829</ml:real> <ml:real>1.0504185437916205</ml:real> <ml:real>1.3945044348059237</ml:real> <ml:real>1.0526089187345662</ml:real> <ml:real>1.3943665905811664</ml:real> <ml:real>1.0547990725834489</ml:real> <ml:real>1.3942229297816522</ml:real> <ml:real>1.0569889962048205</ml:real> <ml:real>1.39407345649131</ml:real> <ml:real>1.0591786804716552</ml:real> <ml:real>1.3939181748025578</ml:real> <ml:real>1.0613681162633615</ml:real> <ml:real>1.3937570888163009</ml:real> <ml:real>1.0635572944657967</ml:real> <ml:real>1.3935902026419305</ml:real> <ml:real>1.06574620597128</ml:real> <ml:real>1.3934175203973231</ml:real> <ml:real>1.0679348416786045</ml:real> <ml:real>1.3932390462088395</ml:real> <ml:real>1.0701231924930534</ml:real> <ml:real>1.3930547842113241</ml:real> <ml:real>1.0723112493264098</ml:real> <ml:real>1.3928647385481026</ml:real> <ml:real>1.074499003096973</ml:real> <ml:real>1.3926689133709824</ml:real> <ml:real>1.0766864447295699</ml:real> <ml:real>1.3924673128402507</ml:real> <ml:real>1.0788735651555694</ml:real> <ml:real>1.392259941124673</ml:real> <ml:real>1.0810603553128955</ml:real> <ml:real>1.3920468024014925</ml:real> <ml:real>1.0832468061460399</ml:real> <ml:real>1.3918279008564285</ml:real> <ml:real>1.0854329086060759</ml:real> <ml:real>1.3916032406836749</ml:real> <ml:real>1.0876186536506725</ml:real> <ml:real>1.3913728260859</ml:real> <ml:real>1.0898040322441061</ml:real> <ml:real>1.3911366612742431</ml:real> <ml:real>1.0919890353572745</ml:real> <ml:real>1.3908947504683151</ml:real> <ml:real>1.0941736539677112</ml:real> <ml:real>1.3906470978961962</ml:real> <ml:real>1.0963578790595967</ml:real> <ml:real>1.3903937077944337</ml:real> <ml:real>1.0985417016237737</ml:real> <ml:real>1.3901345844080419</ml:real> <ml:real>1.1007251126577593</ml:real> <ml:real>1.3898697319905002</ml:real> <ml:real>1.1029081031657588</ml:real> <ml:real>1.3895991548037505</ml:real> <ml:real>1.1050906641586784</ml:real> <ml:real>1.3893228571181964</ml:real> <ml:real>1.107272786654139</ml:real> <ml:real>1.3890408432127022</ml:real> <ml:real>1.1094544616764896</ml:real> <ml:real>1.3887531173745897</ml:real> <ml:real>1.1116356802568201</ml:real> <ml:real>1.3884596838996375</ml:real> <ml:real>1.1138164334329754</ml:real> <ml:real>1.3881605470920788</ml:real> <ml:real>1.1159967122495671</ml:real> <ml:real>1.3878557112646008</ml:real> <ml:real>1.1181765077579886</ml:real> <ml:real>1.387545180738341</ml:real> <ml:real>1.1203558110164271</ml:real> <ml:real>1.3872289598428862</ml:real> <ml:real>1.1225346130898779</ml:real> <ml:real>1.3869070529162708</ml:real> <ml:real>1.1247129050501565</ml:real> <ml:real>1.3865794643049754</ml:real> <ml:real>1.1268906779759129</ml:real> <ml:real>1.3862461983639232</ml:real> <ml:real>1.1290679229526441</ml:real> <ml:real>1.3859072594564799</ml:real> <ml:real>1.131244631072708</ml:real> <ml:real>1.3855626519544495</ml:real> <ml:real>1.133420793435336</ml:real> <ml:real>1.3852123802380749</ml:real> <ml:real>1.1355964011466466</ml:real> <ml:real>1.3848564486960338</ml:real> <ml:real>1.1377714453196592</ml:real> <ml:real>1.3844948617254367</ml:real> <ml:real>1.1399459170743065</ml:real> <ml:real>1.3841276237318259</ml:real> <ml:real>1.1421198075374472</ml:real> <ml:real>1.3837547391291725</ml:real> <ml:real>1.1442931078428815</ml:real> <ml:real>1.3833762123398736</ml:real> <ml:real>1.146465809131362</ml:real> <ml:real>1.3829920477947517</ml:real> <ml:real>1.1486379025506079</ml:real> <ml:real>1.3826022499330504</ml:real> <ml:real>1.1508093792553185</ml:real> <ml:real>1.3822068232024336</ml:real> <ml:real>1.1529802304071857</ml:real> <ml:real>1.3818057720589829</ml:real> <ml:real>1.1551504471749077</ml:real> <ml:real>1.3813991009671938</ml:real> <ml:real>1.1573200207342025</ml:real> <ml:real>1.3809868143999753</ml:real> <ml:real>1.1594889422678203</ml:real> <ml:real>1.3805689168386461</ml:real> <ml:real>1.1616572029655574</ml:real> <ml:real>1.3801454127729322</ml:real> <ml:real>1.163824794024269</ml:real> <ml:real>1.379716306700965</ml:real> <ml:real>1.1659917066478824</ml:real> <ml:real>1.3792816031292783</ml:real> <ml:real>1.1681579320474105</ml:real> <ml:real>1.3788413065728051</ml:real> <ml:real>1.1703234614409648</ml:real> <ml:real>1.3783954215548764</ml:real> <ml:real>1.1724882860537689</ml:real> <ml:real>1.3779439526072173</ml:real> <ml:real>1.1746523971181713</ml:real> <ml:real>1.3774869042699443</ml:real> <ml:real>1.1768157858736583</ml:real> <ml:real>1.3770242810915632</ml:real> <ml:real>1.1789784435668682</ml:real> <ml:real>1.3765560876289664</ml:real> <ml:real>1.1811403614516032</ml:real> <ml:real>1.3760823284474293</ml:real> <ml:real>1.1833015307888433</ml:real> <ml:real>1.3756030081206081</ml:real> <ml:real>1.1854619428467599</ml:real> <ml:real>1.3751181312305358</ml:real> <ml:real>1.187621588900728</ml:real> <ml:real>1.3746277023676217</ml:real> <ml:real>1.1897804602333397</ml:real> <ml:real>1.3741317261306456</ml:real> <ml:real>1.1919385481344176</ml:real> <ml:real>1.373630207126757</ml:real> <ml:real>1.1940958439010276</ml:real> <ml:real>1.3731231499714702</ml:real> <ml:real>1.1962523388374926</ml:real> <ml:real>1.3726105592886635</ml:real> <ml:real>1.1984080242554047</ml:real> <ml:real>1.3720924397105738</ml:real> <ml:real>1.2005628914736395</ml:real> <ml:real>1.3715687958777953</ml:real> <ml:real>1.2027169318183677</ml:real> <ml:real>1.3710396324392749</ml:real> <ml:real>1.2048701366230696</ml:real> <ml:real>1.3705049540523102</ml:real> <ml:real>1.2070224972285484</ml:real> <ml:real>1.3699647653825458</ml:real> <ml:real>1.2091740049829411</ml:real> <ml:real>1.3694190711039693</ml:real> <ml:real>1.2113246512417348</ml:real> <ml:real>1.36886787589891</ml:real> <ml:real>1.2134744273677769</ml:real> <ml:real>1.3683111844580331</ml:real> <ml:real>1.2156233247312898</ml:real> <ml:real>1.367749001480338</ml:real> <ml:real>1.217771334709884</ml:real> <ml:real>1.3671813316731549</ml:real> <ml:real>1.2199184486885701</ml:real> <ml:real>1.3666081797521406</ml:real> <ml:real>1.2220646580597734</ml:real> <ml:real>1.3660295504412749</ml:real> <ml:real>1.2242099542233451</ml:real> <ml:real>1.3654454484728582</ml:real> <ml:real>1.2263543285865775</ml:real> <ml:real>1.3648558785875073</ml:real> <ml:real>1.2284977725642152</ml:real> <ml:real>1.3642608455341516</ml:real> <ml:real>1.2306402775784693</ml:real> <ml:real>1.3636603540700305</ml:real> <ml:real>1.23278183505903</ml:real> <ml:real>1.3630544089606882</ml:real> <ml:real>1.23492243644308</ml:real> <ml:real>1.3624430149799718</ml:real> <ml:real>1.2370620731753064</ml:real> <ml:real>1.3618261769100264</ml:real> <ml:real>1.2392007367079154</ml:real> <ml:real>1.3612038995412912</ml:real> <ml:real>1.2413384185006444</ml:real> <ml:real>1.3605761876724971</ml:real> <ml:real>1.2434751100207748</ml:real> <ml:real>1.3599430461106623</ml:real> <ml:real>1.2456108027431456</ml:real> <ml:real>1.3593044796710874</ml:real> <ml:real>1.2477454881501662</ml:real> <ml:real>1.3586604931773525</ml:real> <ml:real>1.2498791577318293</ml:real> <ml:real>1.3580110914613139</ml:real> <ml:real>1.2520118029857237</ml:real> <ml:real>1.3573562793630991</ml:real> <ml:real>1.2541434154170481</ml:real> <ml:real>1.3566960617311035</ml:real> <ml:real>1.256273986538623</ml:real> <ml:real>1.3560304434219854</ml:real> <ml:real>1.2584035078709046</ml:real> <ml:real>1.3553594293006637</ml:real> <ml:real>1.2605319709419973</ml:real> <ml:real>1.3546830242403127</ml:real> <ml:real>1.2626593672876665</ml:real> <ml:real>1.3540012331223579</ml:real> <ml:real>1.2647856884513518</ml:real> <ml:real>1.3533140608364722</ml:real> <ml:real>1.2669109259841804</ml:real> <ml:real>1.352621512280572</ml:real> <ml:real>1.2690350714449794</ml:real> <ml:real>1.3519235923608128</ml:real> <ml:real>1.2711581164002883</ml:real> <ml:real>1.3512203059915846</ml:real> <ml:real>1.2732800524243737</ml:real> <ml:real>1.3505116580955081</ml:real> <ml:real>1.2754008710992402</ml:real> <ml:real>1.3497976536034306</ml:real> <ml:real>1.2775205640146445</ml:real> <ml:real>1.3490782974544213</ml:real> <ml:real>1.2796391227681085</ml:real> <ml:real>1.348353594595767</ml:real> <ml:real>1.2817565389649308</ml:real> <ml:real>1.3476235499829674</ml:real> <ml:real>1.2838728042182015</ml:real> <ml:real>1.3468881685797316</ml:real> <ml:real>1.2859879101488132</ml:real> <ml:real>1.3461474553579731</ml:real> <ml:real>1.2881018483854754</ml:real> <ml:real>1.3454014152978049</ml:real> <ml:real>1.2902146105647265</ml:real> <ml:real>1.3446500533875361</ml:real> <ml:real>1.2923261883309474</ml:real> <ml:real>1.3438933746236659</ml:real> <ml:real>1.2944365733363734</ml:real> <ml:real>1.34313138401088</ml:real> <ml:real>1.2965457572411077</ml:real> <ml:real>1.3423640865620468</ml:real> <ml:real>1.2986537317131344</ml:real> <ml:real>1.3415914872982104</ml:real> <ml:real>1.3007604884283306</ml:real> <ml:real>1.3408135912485881</ml:real> <ml:real>1.30286601907048</ml:real> <ml:real>1.3400304034505643</ml:real> <ml:real>1.3049703153312853</ml:real> <ml:real>1.3392419289496873</ml:real> <ml:real>1.3070733689103813</ml:real> <ml:real>1.3384481727996629</ml:real> <ml:real>1.3091751715153475</ml:real> <ml:real>1.33764914006235</ml:real> <ml:real>1.3112757148617207</ml:real> <ml:real>1.3368448358077567</ml:real> <ml:real>1.3133749906730081</ml:real> <ml:real>1.336035265114035</ml:real> <ml:real>1.3154729906807003</ml:real> <ml:real>1.3352204330674748</ml:real> <ml:real>1.3175697066242842</ml:real> <ml:real>1.3344003447625006</ml:real> <ml:real>1.3196651302512539</ml:real> <ml:real>1.3335750053016651</ml:real> <ml:real>1.3217592533171265</ml:real> <ml:real>1.332744419795646</ml:real> <ml:real>1.3238520675854528</ml:real> <ml:real>1.3319085933632389</ml:real> <ml:real>1.3259435648278304</ml:real> <ml:real>1.3310675311313533</ml:real> <ml:real>1.3280337368239163</ml:real> <ml:real>1.3302212382350085</ml:real> <ml:real>1.3301225753614407</ml:real> <ml:real>1.3293697198173258</ml:real> <ml:real>1.3322100722362185</ml:real> <ml:real>1.3285129810295264</ml:real> <ml:real>1.3342962192521624</ml:real> <ml:real>1.3276510270309241</ml:real> <ml:real>1.3363810082212961</ml:real> <ml:real>1.326783862988921</ml:real> <ml:real>1.3384644309637663</ml:real> <ml:real>1.3259114940790013</ml:real> <ml:real>1.3405464793078554</ml:real> <ml:real>1.3250339254847281</ml:real> <ml:real>1.3426271450899949</ml:real> <ml:real>1.3241511623977358</ml:real> <ml:real>1.3447064201547776</ml:real> <ml:real>1.3232632100177255</ml:real> <ml:real>1.34678429635497</ml:real> <ml:real>1.3223700735524608</ml:real> <ml:real>1.3488607655515259</ml:real> <ml:real>1.3214717582177602</ml:real> <ml:real>1.3509358196135977</ml:real> <ml:real>1.3205682692374943</ml:real> <ml:real>1.3530094504185497</ml:real> <ml:real>1.3196596118435771</ml:real> <ml:real>1.3550816498519716</ml:real> <ml:real>1.3187457912759641</ml:real> <ml:real>1.35715240980769</ml:real> <ml:real>1.3178268127826436</ml:real> <ml:real>1.3592217221877805</ml:real> <ml:real>1.3169026816196334</ml:real> <ml:real>1.3612895789025821</ml:real> <ml:real>1.3159734030509742</ml:real> <ml:real>1.3633559718707087</ml:real> <ml:real>1.3150389823487234</ml:real> <ml:real>1.3654208930190617</ml:real> <ml:real>1.3140994247929507</ml:real> <ml:real>1.3674843342828422</ml:real> <ml:real>1.3131547356717319</ml:real> <ml:real>1.3695462876055649</ml:real> <ml:real>1.3122049202811432</ml:real> <ml:real>1.3716067449390694</ml:real> <ml:real>1.3112499839252549</ml:real> <ml:real>1.3736656982435331</ml:real> <ml:real>1.3102899319161259</ml:real> <ml:real>1.375723139487484</ml:real> <ml:real>1.3093247695737993</ml:real> <ml:real>1.3777790606478133</ml:real> <ml:real>1.3083545022262939</ml:real> <ml:real>1.3798334537097876</ml:real> <ml:real>1.3073791352096009</ml:real> <ml:real>1.3818863106670607</ml:real> <ml:real>1.3063986738676763</ml:real> <ml:real>1.3839376235216883</ml:real> <ml:real>1.3054131235524349</ml:real> <ml:real>1.3859873842841377</ml:real> <ml:real>1.3044224896237462</ml:real> <ml:real>1.388035584973303</ml:real> <ml:real>1.3034267774494264</ml:real> <ml:real>1.3900822176165153</ml:real> <ml:real>1.3024259924052331</ml:real> <ml:real>1.3921272742495567</ml:real> <ml:real>1.3014201398748595</ml:real> <ml:real>1.394170746916672</ml:real> <ml:real>1.300409225249928</ml:real> <ml:real>1.3962126276705815</ml:real> <ml:real>1.2993932539299837</ml:real> <ml:real>1.3982529085724931</ml:real> <ml:real>1.2983722313224895</ml:real> <ml:real>1.4002915816921153</ml:real> <ml:real>1.2973461628428182</ml:real> <ml:real>1.4023286391076688</ml:real> <ml:real>1.2963150539142478</ml:real> <ml:real>1.4043640729058997</ml:real> <ml:real>1.2952789099679547</ml:real> <ml:real>1.4063978751820914</ml:real> <ml:real>1.2942377364430064</ml:real> <ml:real>1.4084300380400772</ml:real> <ml:real>1.2931915387863575</ml:real> <ml:real>1.4104605535922528</ml:real> <ml:real>1.2921403224528407</ml:real> <ml:real>1.4124894139595883</ml:real> <ml:real>1.2910840929051628</ml:real> <ml:real>1.4145166112716405</ml:real> <ml:real>1.2900228556138971</ml:real> <ml:real>1.4165421376665663</ml:real> <ml:real>1.2889566160574759</ml:real> <ml:real>1.4185659852911341</ml:real> <ml:real>1.2878853797221863</ml:real> <ml:real>1.4205881463007355</ml:real> <ml:real>1.2868091521021632</ml:real> <ml:real>1.4226086128593993</ml:real> <ml:real>1.285727938699381</ml:real> <ml:real>1.4246273771398026</ml:real> <ml:real>1.2846417450236487</ml:real> <ml:real>1.4266444313232831</ml:real> <ml:real>1.2835505765926034</ml:real> <ml:real>1.4286597675998527</ml:real> <ml:real>1.2824544389317021</ml:real> <ml:real>1.4306733781682077</ml:real> <ml:real>1.2813533375742172</ml:real> <ml:real>1.432685255235743</ml:real> <ml:real>1.2802472780612288</ml:real> <ml:real>1.4346953910185631</ml:real> <ml:real>1.2791362659416168</ml:real> <ml:real>1.4367037777414948</ml:real> <ml:real>1.2780203067720561</ml:real> <ml:real>1.4387104076380997</ml:real> <ml:real>1.2768994061170094</ml:real> <ml:real>1.4407152729506856</ml:real> <ml:real>1.2757735695487196</ml:real> <ml:real>1.4427183659303202</ml:real> <ml:real>1.2746428026472034</ml:real> <ml:real>1.4447196788368411</ml:real> <ml:real>1.2735071110002445</ml:real> <ml:real>1.4467192039388706</ml:real> <ml:real>1.272366500203387</ml:real> <ml:real>1.4487169335138255</ml:real> <ml:real>1.2712209758599282</ml:real> <ml:real>1.4507128598479309</ml:real> <ml:real>1.2700705435809114</ml:real> <ml:real>1.4527069752362316</ml:real> <ml:real>1.268915208985119</ml:real> <ml:real>1.4546992719826046</ml:real> <ml:real>1.267754977699066</ml:real> <ml:real>1.4566897423997707</ml:real> <ml:real>1.2665898553569925</ml:real> <ml:real>1.4586783788093072</ml:real> <ml:real>1.2654198476008574</ml:real> <ml:real>1.4606651735416603</ml:real> <ml:real>1.2642449600803292</ml:real> <ml:real>1.4626501189361556</ml:real> <ml:real>1.2630651984527819</ml:real> <ml:real>1.4646332073410129</ml:real> <ml:real>1.2618805683832854</ml:real> <ml:real>1.4666144311133549</ml:real> <ml:real>1.2606910755446</ml:real> <ml:real>1.4685937826192226</ml:real> <ml:real>1.259496725617167</ml:real> <ml:real>1.4705712542335852</ml:real> <ml:real>1.2582975242891048</ml:real> <ml:real>1.4725468383403528</ml:real> <ml:real>1.2570934772561977</ml:real> <ml:real>1.4745205273323887</ml:real> <ml:real>1.2558845902218925</ml:real> <ml:real>1.4764923136115207</ml:real> <ml:real>1.2546708688972872</ml:real> <ml:real>1.4784621895885539</ml:real> <ml:real>1.253452319001128</ml:real> <ml:real>1.4804301476832822</ml:real> <ml:real>1.2522289462597975</ml:real> <ml:real>1.4823961803245012</ml:real> <ml:real>1.2510007564073109</ml:real> <ml:real>1.4843602799500182</ml:real> <ml:real>1.2497677551853066</ml:real> <ml:real>1.4863224390066665</ml:real> <ml:real>1.248529948343039</ml:real> <ml:real>1.4882826499503155</ml:real> <ml:real>1.2472873416373707</ml:real> <ml:real>1.490240905245884</ml:real> <ml:real>1.2460399408327665</ml:real> <ml:real>1.4921971973673516</ml:real> <ml:real>1.2447877517012842</ml:real> <ml:real>1.49415151879777</ml:real> <ml:real>1.2435307800225675</ml:real> <ml:real>1.4961038620292761</ml:real> <ml:real>1.2422690315838385</ml:real> <ml:real>1.498054219563103</ml:real> <ml:real>1.2410025121798902</ml:real> <ml:real>1.5000025839095923</ml:real> <ml:real>1.2397312276130785</ml:real> <ml:real>1.5019489475882053</ml:real> <ml:real>1.2384551836933146</ml:real> <ml:real>1.5038933031275366</ml:real> <ml:real>1.2371743862380569</ml:real> <ml:real>1.5058356430653235</ml:real> <ml:real>1.2358888410723041</ml:real> <ml:real>1.50777595994846</ml:real> <ml:real>1.2345985540285867</ml:real> <ml:real>1.5097142463330073</ml:real> <ml:real>1.2333035309469598</ml:real> <ml:real>1.511650494784206</ml:real> <ml:real>1.2320037776749937</ml:real> <ml:real>1.5135846978764884</ml:real> <ml:real>1.2306993000677684</ml:real> <ml:real>1.5155168481934891</ml:real> <ml:real>1.2293901039878639</ml:real> <ml:real>1.517446938328058</ml:real> <ml:real>1.2280761953053521</ml:real> <ml:real>1.5193749608822715</ml:real> <ml:real>1.2267575798977908</ml:real> <ml:real>1.5213009084674447</ml:real> <ml:real>1.2254342636502134</ml:real> <ml:real>1.523224773704142</ml:real> <ml:real>1.2241062524551223</ml:real> <ml:real>1.5251465492221898</ml:real> <ml:real>1.2227735522124803</ml:real> <ml:real>1.5270662276606888</ml:real> <ml:real>1.2214361688297031</ml:real> <ml:real>1.5289838016680235</ml:real> <ml:real>1.2200941082216499</ml:real> <ml:real>1.5308992639018761</ml:real> <ml:real>1.2187473763106163</ml:real> <ml:real>1.5328126070292374</ml:real> <ml:real>1.2173959790263265</ml:real> <ml:real>1.5347238237264185</ml:real> <ml:real>1.2160399223059242</ml:real> <ml:real>1.5366329066790616</ml:real> <ml:real>1.2146792120939642</ml:real> <ml:real>1.5385398485821533</ml:real> <ml:real>1.2133138543424051</ml:real> <ml:real>1.5404446421400351</ml:real> <ml:real>1.211943855010601</ml:real> <ml:real>1.5423472800664149</ml:real> <ml:real>1.2105692200652918</ml:real> <ml:real>1.5442477550843792</ml:real> <ml:real>1.2091899554805961</ml:real> <ml:real>1.5461460599264041</ml:real> <ml:real>1.2078060672380031</ml:real> <ml:real>1.5480421873343679</ml:real> <ml:real>1.2064175613263624</ml:real> <ml:real>1.5499361300595611</ml:real> <ml:real>1.205024443741878</ml:real> <ml:real>1.5518278808626995</ml:real> <ml:real>1.2036267204880982</ml:real> <ml:real>1.5537174325139338</ml:real> <ml:real>1.2022243975759079</ml:real> <ml:real>1.5556047777928646</ml:real> <ml:real>1.2008174810235188</ml:real> <ml:real>1.5574899094885488</ml:real> <ml:real>1.1994059768564624</ml:real> <ml:real>1.5593728203995161</ml:real> <ml:real>1.1979898911075817</ml:real> <ml:real>1.5612535033337776</ml:real> <ml:real>1.19656922981702</ml:real> <ml:real>1.5631319511088377</ml:real> <ml:real>1.1951439990322159</ml:real> <ml:real>1.565008156551706</ml:real> <ml:real>1.1937142048078913</ml:real> <ml:real>1.566882112498909</ml:real> <ml:real>1.192279853206045</ml:real> <ml:real>1.5687538117965003</ml:real> <ml:real>1.1908409502959432</ml:real> <ml:real>1.5706232473000732</ml:real> <ml:real>1.18939750215411</ml:real> <ml:real>1.5724904118747718</ml:real> <ml:real>1.1879495148643207</ml:real> <ml:real>1.574355298395302</ml:real> <ml:real>1.1864969945175903</ml:real> <ml:real>1.5762178997459433</ml:real> <ml:real>1.1850399472121675</ml:real> <ml:real>1.5780782088205596</ml:real> <ml:real>1.1835783790535235</ml:real> <ml:real>1.5799362185226111</ml:real> <ml:real>1.1821122961543444</ml:real> <ml:real>1.5817919217651664</ml:real> <ml:real>1.1806417046345221</ml:real> <ml:real>1.5836453114709115</ml:real> <ml:real>1.1791666106211454</ml:real> <ml:real>1.5854963805721625</ml:real> <ml:real>1.1776870202484904</ml:real> <ml:real>1.5873451220108779</ml:real> <ml:real>1.1762029396580123</ml:real> <ml:real>1.589191528738668</ml:real> <ml:real>1.1747143749983364</ml:real> <ml:real>1.5910355937168075</ml:real> <ml:real>1.1732213324252485</ml:real> <ml:real>1.5928773099162452</ml:real> <ml:real>1.1717238181016865</ml:real> <ml:real>1.5947166703176179</ml:real> <ml:real>1.1702218381977303</ml:real> <ml:real>1.596553667911258</ml:real> <ml:real>1.1687153988905936</ml:real> <ml:real>1.5983882956972082</ml:real> <ml:real>1.167204506364615</ml:real> <ml:real>1.6002205466852302</ml:real> <ml:real>1.1656891668112477</ml:real> <ml:real>1.6020504138948175</ml:real> <ml:real>1.1641693864290512</ml:real> <ml:real>1.6038778903552051</ml:real> <ml:real>1.1626451714236816</ml:real> <ml:real>1.6057029691053819</ml:real> <ml:real>1.1611165280078826</ml:real> <ml:real>1.607525643194101</ml:real> <ml:real>1.1595834624014767</ml:real> <ml:real>1.6093459056798918</ml:real> <ml:real>1.1580459808313541</ml:real> <ml:real>1.6111637496310693</ml:real> <ml:real>1.156504089531466</ml:real> <ml:real>1.6129791681257475</ml:real> <ml:real>1.1549577947428129</ml:real> <ml:real>1.6147921542518482</ml:real> <ml:real>1.1534071027134365</ml:real> <ml:real>1.616602701107114</ml:real> <ml:real>1.1518520196984101</ml:real> <ml:real>1.6184108017991179</ml:real> <ml:real>1.1502925519598286</ml:real> <ml:real>1.6202164494452749</ml:real> <ml:real>1.1487287057668003</ml:real> <ml:real>1.6220196371728535</ml:real> <ml:real>1.1471604873954358</ml:real> <ml:real>1.6238203581189858</ml:real> <ml:real>1.1455879031288387</ml:real> <ml:real>1.6256186054306789</ml:real> <ml:real>1.1440109592570984</ml:real> <ml:real>1.6274143722648258</ml:real> <ml:real>1.1424296620772769</ml:real> <ml:real>1.6292076517882164</ml:real> <ml:real>1.1408440178934021</ml:real> <ml:real>1.6309984371775483</ml:real> <ml:real>1.1392540330164565</ml:real> <ml:real>1.6327867216194383</ml:real> <ml:real>1.137659713764368</ml:real> <ml:real>1.6345724983104319</ml:real> <ml:real>1.1360610664620017</ml:real> <ml:real>1.6363557604570165</ml:real> <ml:real>1.1344580974411471</ml:real> <ml:real>1.6381365012756293</ml:real> <ml:real>1.1328508130405111</ml:real> <ml:real>1.6399147139926709</ml:real> <ml:real>1.1312392196057066</ml:real> <ml:real>1.6416903918445147</ml:real> <ml:real>1.1296233234892441</ml:real> <ml:real>1.6434635280775178</ml:real> <ml:real>1.1280031310505212</ml:real> <ml:real>1.6452341159480319</ml:real> <ml:real>1.1263786486558116</ml:real> <ml:real>1.6470021487224149</ml:real> <ml:real>1.1247498826782576</ml:real> <ml:real>1.6487676196770402</ml:real> <ml:real>1.1231168394978586</ml:real> <ml:real>1.6505305220983089</ml:real> <ml:real>1.1214795255014611</ml:real> <ml:real>1.6522908492826591</ml:real> <ml:real>1.1198379470827498</ml:real> <ml:real>1.6540485945365784</ml:real> <ml:real>1.1181921106422366</ml:real> <ml:real>1.6558037511766131</ml:real> <ml:real>1.1165420225872511</ml:real> <ml:real>1.6575563125293795</ml:real> <ml:real>1.1148876893319311</ml:real> <ml:real>1.6593062719315745</ml:real> <ml:real>1.1132291172972109</ml:real> <ml:real>1.6610536227299866</ml:real> <ml:real>1.1115663129108133</ml:real> <ml:real>1.6627983582815062</ml:real> <ml:real>1.1098992826072383</ml:real> <ml:real>1.664540471953136</ml:real> <ml:real>1.1082280328277527</ml:real> <ml:real>1.6662799571220022</ml:real> <ml:real>1.1065525700203813</ml:real> <ml:real>1.6680168071753649</ml:real> <ml:real>1.1048729006398943</ml:real> <ml:real>1.6697510155106281</ml:real> <ml:real>1.1031890311478008</ml:real> <ml:real>1.6714825755353515</ml:real> <ml:real>1.1015009680123347</ml:real> <ml:real>1.67321148066726</ml:real> <ml:real>1.0998087177084472</ml:real> <ml:real>1.6749377243342543</ml:real> <ml:real>1.0981122867177948</ml:real> <ml:real>1.6766612999744224</ml:real> <ml:real>1.0964116815287304</ml:real> <ml:real>1.678382201036049</ml:real> <ml:real>1.0947069086362913</ml:real> <ml:real>1.6801004209776265</ml:real> <ml:real>1.0929979745421909</ml:real> <ml:real>1.6818159532678654</ml:real> <ml:real>1.091284885754807</ml:real> <ml:real>1.6835287913857044</ml:real> <ml:real>1.089567648789171</ml:real> <ml:real>1.6852389288203225</ml:real> <ml:real>1.0878462701669585</ml:real> <ml:real>1.6869463590711464</ml:real> <ml:real>1.0861207564164788</ml:real> <ml:real>1.6886510756478637</ml:real> <ml:real>1.0843911140726636</ml:real> <ml:real>1.6903530720704323</ml:real> <ml:real>1.0826573496770575</ml:real> <ml:real>1.6920523418690898</ml:real> <ml:real>1.080919469777806</ml:real> <ml:real>1.693748878584366</ml:real> <ml:real>1.0791774809296468</ml:real> <ml:real>1.6954426757670911</ml:real> <ml:real>1.0774313896938981</ml:real> <ml:real>1.6971337269784075</ml:real> <ml:real>1.0756812026384479</ml:real> <ml:real>1.698822025789779</ml:real> <ml:real>1.0739269263377438</ml:real> <ml:real>1.7005075657830027</ml:real> <ml:real>1.0721685673727823</ml:real> <ml:real>1.7021903405502172</ml:real> <ml:real>1.0704061323310983</ml:real> <ml:real>1.703870343693914</ml:real> <ml:real>1.0686396278067534</ml:real> <ml:real>1.7055475688269479</ml:real> <ml:real>1.0668690604003266</ml:real> <ml:real>1.7072220095725474</ml:real> <ml:real>1.0650944367189026</ml:real> <ml:real>1.7088936595643238</ml:real> <ml:real>1.0633157633760613</ml:real> <ml:real>1.7105625124462822</ml:real> <ml:real>1.0615330469918671</ml:real> <ml:real>1.7122285618728323</ml:real> <ml:real>1.059746294192857</ml:real> <ml:real>1.7138918015087969</ml:real> <ml:real>1.0579555116120323</ml:real> <ml:real>1.7155522250294233</ml:real> <ml:real>1.0561607058888447</ml:real> <ml:real>1.7172098261203932</ml:real> <ml:real>1.0543618836691877</ml:real> <ml:real>1.7188645984778321</ml:real> <ml:real>1.0525590516053844</ml:real> <ml:real>1.7205165358083212</ml:real> <ml:real>1.0507522163561764</ml:real> <ml:real>1.7221656318289049</ml:real> <ml:real>1.0489413845867146</ml:real> <ml:real>1.7238118802671034</ml:real> <ml:real>1.0471265629685458</ml:real> <ml:real>1.7254552748609207</ml:real> <ml:real>1.0453077581796035</ml:real> <ml:real>1.7270958093588558</ml:real> <ml:real>1.0434849769041956</ml:real> <ml:real>1.7287334775199121</ml:real> <ml:real>1.0416582258329949</ml:real> <ml:real>1.7303682731136085</ml:real> <ml:real>1.0398275116630256</ml:real> <ml:real>1.7320001899199877</ml:real> <ml:real>1.0379928410976544</ml:real> <ml:real>1.7336292217296274</ml:real> <ml:real>1.0361542208465786</ml:real> <ml:real>1.7352553623436497</ml:real> <ml:real>1.0343116576258147</ml:real> <ml:real>1.7368786055737311</ml:real> <ml:real>1.0324651581576878</ml:real> <ml:real>1.7384989452421125</ml:real> <ml:real>1.030614729170819</ml:real> <ml:real>1.7401163751816091</ml:real> <ml:real>1.0287603774001159</ml:real> <ml:real>1.74173088923562</ml:real> <ml:real>1.0269021095867605</ml:real> <ml:real>1.7433424812581386</ml:real> <ml:real>1.0250399324781976</ml:real> <ml:real>1.7449511451137618</ml:real> <ml:real>1.0231738528281236</ml:real> <ml:real>1.7465568746777005</ml:real> <ml:real>1.0213038773964767</ml:real> <ml:real>1.7481596638357879</ml:real> <ml:real>1.0194300129494225</ml:real> <ml:real>1.7497595064844917</ml:real> <ml:real>1.0175522662593459</ml:real> <ml:real>1.7513563965309218</ml:real> <ml:real>1.0156706441048371</ml:real> <ml:real>1.7529503278928407</ml:real> <ml:real>1.0137851532706816</ml:real> <ml:real>1.7545412944986736</ml:real> <ml:real>1.0118958005478489</ml:real> <ml:real>1.7561292902875174</ml:real> <ml:real>1.0100025927334795</ml:real> <ml:real>1.757714309209151</ml:real> <ml:real>1.0081055366308749</ml:real> <ml:real>1.7592963452240449</ml:real> <ml:real>1.0062046390494857</ml:real> <ml:real>1.7608753923033702</ml:real> <ml:real>1.0042999068048994</ml:real> <ml:real>1.7624514444290091</ml:real> <ml:real>1.0023913467188303</ml:real> <ml:real>1.764024495593564</ml:real> <ml:real>1.0004789656191058</ml:real> <ml:real>1.7655945398003676</ml:real> <ml:real>0.99856277033965646</ml:real> <ml:real>1.7671615710634914</ml:real> <ml:real>0.99664276772050386</ml:real> <ml:real>1.768725583407756</ml:real> <ml:real>0.994718964607749</ml:real> <ml:real>1.7702865708687414</ml:real> <ml:real>0.99279136785356037</ml:real> <ml:real>1.7718445274927952</ml:real> <ml:real>0.99085998431616185</ml:real> <ml:real>1.7733994473370425</ml:real> <ml:real>0.9889248208598227</ml:real> <ml:real>1.7749513244693957</ml:real> <ml:real>0.98698588435484336</ml:real> <ml:real>1.7765001529685636</ml:real> <ml:real>0.98504318167754579</ml:real> <ml:real>1.7780459269240612</ml:real> <ml:real>0.98309671971026014</ml:real> <ml:real>1.7795886404362187</ml:real> <ml:real>0.98114650534131387</ml:real> <ml:real>1.7811282876161918</ml:real> <ml:real>0.97919254546501977</ml:real> <ml:real>1.7826648625859698</ml:real> <ml:real>0.97723484698166363</ml:real> <ml:real>1.7841983594783857</ml:real> <ml:real>0.97527341679749291</ml:real> <ml:real>1.7857287724371256</ml:real> <ml:real>0.9733082618247042</ml:real> <ml:real>1.7872560956167378</ml:real> <ml:real>0.97133938898143157</ml:real> <ml:real>1.7887803231826431</ml:real> <ml:real>0.969366805191735</ml:real> <ml:real>1.7903014493111416</ml:real> <ml:real>0.96739051738558834</ml:real> <ml:real>1.7918194681894253</ml:real> <ml:real>0.96541053249886577</ml:real> <ml:real>1.7933343740155843</ml:real> <ml:real>0.96342685747333234</ml:real> <ml:real>1.7948461609986186</ml:real> <ml:real>0.96143949925662975</ml:real> <ml:real>1.7963548233584448</ml:real> <ml:real>0.95944846480226575</ml:real> <ml:real>1.7978603553259078</ml:real> <ml:real>0.95745376106960089</ml:real> <ml:real>1.7993627511427883</ml:real> <ml:real>0.95545539502383714</ml:real> <ml:real>1.8008620050618129</ml:real> <ml:real>0.953453373636005</ml:real> <ml:real>1.802358111346662</ml:real> <ml:real>0.95144770388295286</ml:real> <ml:real>1.8038510642719812</ml:real> <ml:real>0.94943839274733288</ml:real> <ml:real>1.8053408581233872</ml:real> <ml:real>0.94742544721759014</ml:real> <ml:real>1.8068274871974803</ml:real> <ml:real>0.94540887428794962</ml:real> <ml:real>1.8083109458018503</ml:real> <ml:real>0.94338868095840489</ml:real> <ml:real>1.8097912282550883</ml:real> <ml:real>0.94136487423470439</ml:real> <ml:real>1.8112683288867941</ml:real> <ml:real>0.93933746112834071</ml:real> <ml:real>1.8127422420375856</ml:real> <ml:real>0.93730644865653723</ml:real> <ml:real>1.8142129620591079</ml:real> <ml:real>0.93527184384223627</ml:real> <ml:real>1.8156804833140419</ml:real> <ml:real>0.933233653714086</ml:real> <ml:real>1.8171448001761141</ml:real> <ml:real>0.93119188530642916</ml:real> <ml:real>1.8186059070301046</ml:real> <ml:real>0.92914654565928978</ml:real> <ml:real>1.8200637982718564</ml:real> <ml:real>0.92709764181836107</ml:real> <ml:real>1.8215184683082841</ml:real> <ml:real>0.92504518083499343</ml:real> <ml:real>1.8229699115573839</ml:real> <ml:real>0.92298916976618051</ml:real> <ml:real>1.8244181224482405</ml:real> <ml:real>0.92092961567454834</ml:real> <ml:real>1.8258630954210373</ml:real> <ml:real>0.91886652562834248</ml:real> <ml:real>1.8273048249270647</ml:real> <ml:real>0.91679990670141454</ml:real> <ml:real>1.8287433054287297</ml:real> <ml:real>0.91472976597321021</ml:real> <ml:real>1.8301785313995631</ml:real> <ml:real>0.91265611052875739</ml:real> <ml:real>1.8316104973242302</ml:real> <ml:real>0.91057894745865231</ml:real> <ml:real>1.8330391976985379</ml:real> <ml:real>0.90849828385904763</ml:real> <ml:real>1.8344646270294445</ml:real> <ml:real>0.90641412683163991</ml:real> <ml:real>1.8358867798350673</ml:real> <ml:real>0.90432648348365618</ml:real> <ml:real>1.8373056506446925</ml:real> <ml:real>0.90223536092784284</ml:real> <ml:real>1.8387212339987833</ml:real> <ml:real>0.90014076628245043</ml:real> <ml:real>1.8401335244489885</ml:real> <ml:real>0.89804270667122366</ml:real> <ml:real>1.8415425165581505</ml:real> <ml:real>0.89594118922338628</ml:real> <ml:real>1.8429482049003161</ml:real> <ml:real>0.89383622107363059</ml:real> <ml:real>1.8443505840607415</ml:real> <ml:real>0.89172780936210216</ml:real> <ml:real>1.8457496486359042</ml:real> <ml:real>0.88961596123438924</ml:real> <ml:real>1.8471453932335105</ml:real> <ml:real>0.88750068384150838</ml:real> <ml:real>1.8485378124725029</ml:real> <ml:real>0.88538198433989246</ml:real> <ml:real>1.8499269009830697</ml:real> <ml:real>0.88325986989137784</ml:real> <ml:real>1.8513126534066531</ml:real> <ml:real>0.88113434766319032</ml:real> <ml:real>1.8526950643959583</ml:real> <ml:real>0.87900542482793353</ml:real> <ml:real>1.8540741286149609</ml:real> <ml:real>0.87687310856357592</ml:real> <ml:real>1.855449840738916</ml:real> <ml:real>0.87473740605343631</ml:real> <ml:real>1.8568221954543667</ml:real> <ml:real>0.872598324486173</ml:real> <ml:real>1.8581911874591512</ml:real> <ml:real>0.87045587105576949</ml:real> <ml:real>1.8595568114624137</ml:real> <ml:real>0.86831005296152131</ml:real> <ml:real>1.86091906218461</ml:real> <ml:real>0.86616087740802361</ml:real> <ml:real>1.8622779343575173</ml:real> <ml:real>0.864008351605158</ml:real> <ml:real>1.8636334227242424</ml:real> <ml:real>0.86185248276807913</ml:real> <ml:real>1.8649855220392295</ml:real> <ml:real>0.8596932781172022</ml:real> <ml:real>1.8663342270682692</ml:real> <ml:real>0.85753074487818881</ml:real> <ml:real>1.8676795325885058</ml:real> <ml:real>0.855364890281935</ml:real> <ml:real>1.8690214333884458</ml:real> <ml:real>0.85319572156455681</ml:real> <ml:real>1.8703599242679672</ml:real> <ml:real>0.851023245967379</ml:real> <ml:real>1.8716950000383255</ml:real> <ml:real>0.848847470736919</ml:real> <ml:real>1.8730266555221635</ml:real> <ml:real>0.84666840312487679</ml:real> <ml:real>1.87435488555352</ml:real> <ml:real>0.84448605038811975</ml:real> <ml:real>1.8756796849778352</ml:real> <ml:real>0.842300419788669</ml:real> <ml:real>1.8770010486519619</ml:real> <ml:real>0.84011151859368793</ml:real> <ml:real>1.8783189714441713</ml:real> <ml:real>0.83791935407546769</ml:real> <ml:real>1.8796334482341623</ml:real> <ml:real>0.83572393351141394</ml:real> <ml:real>1.8809444739130696</ml:real> <ml:real>0.833525264184034</ml:real> <ml:real>1.88225204338347</ml:real> <ml:real>0.83132335338092245</ml:real> <ml:real>1.8835561515593922</ml:real> <ml:real>0.82911820839474881</ml:real> <ml:real>1.884856793366325</ml:real> <ml:real>0.8269098365232439</ml:real> <ml:real>1.8861539637412232</ml:real> <ml:real>0.8246982450691861</ml:real> <ml:real>1.8874476576325174</ml:real> <ml:real>0.82248344134038809</ml:real> <ml:real>1.8887378700001212</ml:real> <ml:real>0.82026543264968332</ml:real> <ml:real>1.8900245958154391</ml:real> <ml:real>0.81804422631491269</ml:real> <ml:real>1.8913078300613737</ml:real> <ml:real>0.81581982965891076</ml:real> <ml:real>1.8925875677323349</ml:real> <ml:real>0.81359225000949276</ml:real> <ml:real>1.8938638038342468</ml:real> <ml:real>0.81136149469944</ml:real> <ml:real>1.895136533384556</ml:real> <ml:real>0.80912757106648758</ml:real> <ml:real>1.8964057514122388</ml:real> <ml:real>0.8068904864533103</ml:real> <ml:real>1.8976714529578094</ml:real> <ml:real>0.80465024820750808</ml:real> <ml:real>1.8989336330733266</ml:real> <ml:real>0.80240686368159442</ml:real> <ml:real>1.9001922868224033</ml:real> <ml:real>0.8001603402329811</ml:real> <ml:real>1.9014474092802132</ml:real> <ml:real>0.79791068522396458</ml:real> <ml:real>1.9026989955334979</ml:real> <ml:real>0.79565790602171338</ml:real> <ml:real>1.9039470406805759</ml:real> <ml:real>0.7934020099982535</ml:real> <ml:real>1.9051915398313488</ml:real> <ml:real>0.79114300453045483</ml:real> <ml:real>1.9064324881073098</ml:real> <ml:real>0.78888089700001762</ml:real> <ml:real>1.9076698806415506</ml:real> <ml:real>0.78661569479345883</ml:real> <ml:real>1.9089037125787707</ml:real> <ml:real>0.784347405302098</ml:real> <ml:real>1.9101339790752823</ml:real> <ml:real>0.78207603592204378</ml:real> <ml:real>1.9113606752990193</ml:real> <ml:real>0.77980159405417959</ml:real> <ml:real>1.9125837964295451</ml:real> <ml:real>0.77752408710415066</ml:real> <ml:real>1.9138033376580599</ml:real> <ml:real>0.77524352248234951</ml:real> <ml:real>1.9150192941874062</ml:real> <ml:real>0.77295990760390221</ml:real> <ml:real>1.9162316612320798</ml:real> <ml:real>0.77067324988865471</ml:real> <ml:real>1.9174404340182345</ml:real> <ml:real>0.76838355676115866</ml:real> <ml:real>1.9186456077836898</ml:real> <ml:real>0.76609083565065761</ml:real> <ml:real>1.9198471777779389</ml:real> <ml:real>0.76379509399107326</ml:real> <ml:real>1.9210451392621568</ml:real> <ml:real>0.761496339220991</ml:real> <ml:real>1.9222394875092053</ml:real> <ml:real>0.75919457878364671</ml:real> <ml:real>1.9234302178036427</ml:real> <ml:real>0.75688982012691164</ml:real> <ml:real>1.9246173254417291</ml:real> <ml:real>0.75458207070327976</ml:real> <ml:real>1.9258008057314351</ml:real> <ml:real>0.75227133796985268</ml:real> <ml:real>1.926980653992449</ml:real> <ml:real>0.74995762938832611</ml:real> <ml:real>1.9281568655561823</ml:real> <ml:real>0.7476409524249753</ml:real> <ml:real>1.9293294357657789</ml:real> <ml:real>0.74532131455064166</ml:real> <ml:real>1.9304983599761212</ml:real> <ml:real>0.74299872324071825</ml:real> <ml:real>1.9316636335538377</ml:real> <ml:real>0.74067318597513565</ml:real> <ml:real>1.93282525187731</ml:real> <ml:real>0.73834471023834758</ml:real> <ml:real>1.9339832103366788</ml:real> <ml:real>0.73601330351931726</ml:real> <ml:real>1.9351375043338535</ml:real> <ml:real>0.73367897331150311</ml:real> <ml:real>1.9362881292825165</ml:real> <ml:real>0.7313417271128444</ml:real> <ml:real>1.9374350806081317</ml:real> <ml:real>0.72900157242574726</ml:real> <ml:real>1.938578353747952</ml:real> <ml:real>0.72665851675706938</ml:real> <ml:real>1.9397179441510244</ml:real> <ml:real>0.72431256761810769</ml:real> <ml:real>1.9408538472781993</ml:real> <ml:real>0.72196373252458268</ml:real> <ml:real>1.9419860586021351</ml:real> <ml:real>0.71961201899662453</ml:real> <ml:real>1.943114573607307</ml:real> <ml:real>0.71725743455875879</ml:real> <ml:real>1.944239387790013</ml:real> <ml:real>0.714899986739892</ml:real> <ml:real>1.9453604966583804</ml:real> <ml:real>0.71253968307329729</ml:real> <ml:real>1.9464778957323736</ml:real> <ml:real>0.71017653109660062</ml:real> <ml:real>1.9475915805438007</ml:real> <ml:real>0.70781053835176522</ml:real> <ml:real>1.9487015466363196</ml:real> <ml:real>0.70544171238507836</ml:real> <ml:real>1.9498077895654453</ml:real> <ml:real>0.70307006074713674</ml:real> <ml:real>1.9509103048985572</ml:real> <ml:real>0.70069559099283152</ml:real> <ml:real>1.9520090882149048</ml:real> <ml:real>0.69831831068133388</ml:real> <ml:real>1.9531041351056149</ml:real> <ml:real>0.69593822737608169</ml:real> <ml:real>1.9541954411736981</ml:real> <ml:real>0.69355534864476343</ml:real> <ml:real>1.9552830020340561</ml:real> <ml:real>0.69116968205930485</ml:real> <ml:real>1.9563668133134873</ml:real> <ml:real>0.68878123519585421</ml:real> <ml:real>1.9574468706506947</ml:real> <ml:real>0.68639001563476765</ml:real> <ml:real>1.9585231696962908</ml:real> <ml:real>0.68399603096059414</ml:real> <ml:real>1.9595957061128062</ml:real> <ml:real>0.68159928876206211</ml:real> <ml:real>1.9606644755746949</ml:real> <ml:real>0.679199796632064</ml:real> <ml:real>1.9617294737683402</ml:real> <ml:real>0.67679756216764142</ml:real> <ml:real>1.9627906963920632</ml:real> <ml:real>0.67439259296997178</ml:real> <ml:real>1.9638481391561271</ml:real> <ml:real>0.67198489664435246</ml:real> <ml:real>1.9649017977827459</ml:real> <ml:real>0.669574480800186</ml:real> <ml:real>1.9659516680060882</ml:real> <ml:real>0.66716135305096746</ml:real> <ml:real>1.9669977455722862</ml:real> <ml:real>0.664745521014267</ml:real> <ml:real>1.9680400262394406</ml:real> <ml:real>0.66232699231171677</ml:real> <ml:real>1.9690785057776266</ml:real> <ml:real>0.65990577456899646</ml:real> <ml:real>1.9701131799689025</ml:real> <ml:real>0.65748187541581771</ml:real> <ml:real>1.9711440446073132</ml:real> <ml:real>0.6550553024859096</ml:real> <ml:real>1.9721710954988982</ml:real> <ml:real>0.65262606341700424</ml:real> <ml:real>1.9731943284616975</ml:real> <ml:real>0.65019416585082168</ml:real> <ml:real>1.9742137393257577</ml:real> <ml:real>0.6477596174330551</ml:real> <ml:real>1.9752293239331378</ml:real> <ml:real>0.64532242581335608</ml:real> <ml:real>1.9762410781379174</ml:real> <ml:real>0.64288259864531994</ml:real> <ml:real>1.9772489978062002</ml:real> <ml:real>0.64044014358647083</ml:real> <ml:real>1.9782530788161217</ml:real> <ml:real>0.63799506829824648</ml:real> <ml:real>1.979253317057855</ml:real> <ml:real>0.63554738044598413</ml:real> <ml:real>1.9802497084336173</ml:real> <ml:real>0.6330970876989046</ml:real> <ml:real>1.9812422488576749</ml:real> <ml:real>0.63064419773009839</ml:real> <ml:real>1.9822309342563504</ml:real> <ml:real>0.62818871821651046</ml:real> <ml:real>1.983215760568029</ml:real> <ml:real>0.6257306568389247</ml:real> <ml:real>1.9841967237431624</ml:real> <ml:real>0.62327002128194953</ml:real> <ml:real>1.9851738197442774</ml:real> <ml:real>0.62080681923400349</ml:real> <ml:real>1.9861470445459801</ml:real> <ml:real>0.61834105838729869</ml:real> <ml:real>1.9871163941349632</ml:real> <ml:real>0.61587274643782752</ml:real> <ml:real>1.9880818645100105</ml:real> <ml:real>0.61340189108534671</ml:real> <ml:real>1.9890434516820039</ml:real> <ml:real>0.610928500033362</ml:real> <ml:real>1.9900011516739284</ml:real> <ml:real>0.60845258098911381</ml:real> <ml:real>1.9909549605208787</ml:real> <ml:real>0.60597414166356223</ml:real> <ml:real>1.9919048742700651</ml:real> <ml:real>0.60349318977137156</ml:real> <ml:real>1.9928508889808185</ml:real> <ml:real>0.60100973303089478</ml:real> <ml:real>1.9937930007245968</ml:real> <ml:real>0.59852377916415977</ml:real> <ml:real>1.9947312055849902</ml:real> <ml:real>0.59603533589685243</ml:real> <ml:real>1.9956654996577281</ml:real> <ml:real>0.59354441095830379</ml:real> <ml:real>1.996595879050683</ml:real> <ml:real>0.59105101208147237</ml:real> <ml:real>1.9975223398838775</ml:real> <ml:real>0.58855514700293077</ml:real> <ml:real>1.9984448782894901</ml:real> <ml:real>0.58605682346285</ml:real> <ml:real>1.9993634904118596</ml:real> <ml:real>0.58355604920498416</ml:real> <ml:real>2.0002781724074916</ml:real> <ml:real>0.58105283197665525</ml:real> <ml:real>2.001188920445065</ml:real> <ml:real>0.57854717952873791</ml:real> <ml:real>2.0020957307054346</ml:real> <ml:real>0.57603909961564459</ml:real> <ml:real>2.00299859938164</ml:real> <ml:real>0.57352859999530947</ml:real> <ml:real>2.0038975226789093</ml:real> <ml:real>0.57101568842917416</ml:real> <ml:real>2.0047924968146655</ml:real> <ml:real>0.5685003726821718</ml:real> <ml:real>2.0056835180185297</ml:real> <ml:real>0.56598266052271162</ml:real> <ml:real>2.0065705825323312</ml:real> <ml:real>0.56346255972266446</ml:real> <ml:real>2.0074536866101074</ml:real> <ml:real>0.56094007805734636</ml:real> <ml:real>2.0083328265181128</ml:real> <ml:real>0.55841522330550419</ml:real> <ml:real>2.0092079985348237</ml:real> <ml:real>0.55588800324929977</ml:real> <ml:real>2.0100791989509439</ml:real> <ml:real>0.55335842567429427</ml:real> <ml:real>2.0109464240694068</ml:real> <ml:real>0.55082649836943354</ml:real> <ml:real>2.0118096702053858</ml:real> <ml:real>0.548292229127032</ml:real> <ml:real>2.0126689336862968</ml:real> <ml:real>0.54575562574275771</ml:real> <ml:real>2.0135242108518026</ml:real> <ml:real>0.54321669601561673</ml:real> <ml:real>2.0143754980538198</ml:real> <ml:real>0.54067544774793785</ml:real> <ml:real>2.0152227916565235</ml:real> <ml:real>0.53813188874535667</ml:real> <ml:real>2.0160660880363532</ml:real> <ml:real>0.5355860268168009</ml:real> <ml:real>2.0169053835820154</ml:real> <ml:real>0.533037869774474</ml:real> <ml:real>2.017740674694493</ml:real> <ml:real>0.5304874254338402</ml:real> <ml:real>2.0185719577870458</ml:real> <ml:real>0.52793470161360911</ml:real> <ml:real>2.0193992292852183</ml:real> <ml:real>0.52537970613571972</ml:real> <ml:real>2.0202224856268449</ml:real> <ml:real>0.52282244682532564</ml:real> <ml:real>2.0210417232620537</ml:real> <ml:real>0.52026293151077851</ml:real> <ml:real>2.0218569386532717</ml:real> <ml:real>0.51770116802361277</ml:real> <ml:real>2.0226681282752312</ml:real> <ml:real>0.515137164198531</ml:real> <ml:real>2.0234752886149727</ml:real> <ml:real>0.512570927873387</ml:real> <ml:real>2.024278416171851</ml:real> <ml:real>0.51000246688917061</ml:real> <ml:real>2.0250775074575404</ml:real> <ml:real>0.507431789089993</ml:real> <ml:real>2.0258725589960389</ml:real> <ml:real>0.5048589023230694</ml:real> <ml:real>2.0266635673236735</ml:real> <ml:real>0.50228381443870507</ml:real> <ml:real>2.0274505289891041</ml:real> <ml:real>0.49970653329027825</ml:real> <ml:real>2.02823344055333</ml:real> <ml:real>0.49712706673422552</ml:real> <ml:real>2.0290122985896932</ml:real> <ml:real>0.4945454226300256</ml:real> <ml:real>2.029787099683884</ml:real> <ml:real>0.4919616088401837</ml:real> <ml:real>2.0305578404339455</ml:real> <ml:real>0.48937563323021571</ml:real> <ml:real>2.0313245174502774</ml:real> <ml:real>0.48678750366863316</ml:real> <ml:real>2.0320871273556431</ml:real> <ml:real>0.48419722802692633</ml:real> <ml:real>2.0328456667851711</ml:real> <ml:real>0.48160481417954937</ml:real> <ml:real>2.0336001323863635</ml:real> <ml:real>0.47901027000390423</ml:real> <ml:real>2.0343505208190962</ml:real> <ml:real>0.47641360338032462</ml:real> <ml:real>2.0350968287556279</ml:real> <ml:real>0.47381482219206106</ml:real> <ml:real>2.0358390528806005</ml:real> <ml:real>0.47121393432526387</ml:real> <ml:real>2.0365771898910476</ml:real> <ml:real>0.46861094766896882</ml:real> <ml:real>2.0373112364963957</ml:real> <ml:real>0.46600587011507955</ml:real> <ml:real>2.0380411894184709</ml:real> <ml:real>0.46339870955835327</ml:real> <ml:real>2.0387670453915026</ml:real> <ml:real>0.46078947389638392</ml:real> <ml:real>2.0394888011621273</ml:real> <ml:real>0.45817817102958674</ml:real> <ml:real>2.0402064534893944</ml:real> <ml:real>0.45556480886118228</ml:real> <ml:real>2.0409199991447693</ml:real> <ml:real>0.45294939529718048</ml:real> <ml:real>2.0416294349121387</ml:real> <ml:real>0.45033193824636508</ml:real> <ml:real>2.0423347575878141</ml:real> <ml:real>0.44771244562027684</ml:real> <ml:real>2.0430359639805369</ml:real> <ml:real>0.44509092533319872</ml:real> <ml:real>2.0437330509114826</ml:real> <ml:real>0.44246738530213914</ml:real> <ml:real>2.0444260152142641</ml:real> <ml:real>0.4398418334468161</ml:real> <ml:real>2.0451148537349382</ml:real> <ml:real>0.4372142776896415</ml:real> <ml:real>2.0457995633320056</ml:real> <ml:real>0.4345847259557053</ml:real> <ml:real>2.0464801408764206</ml:real> <ml:real>0.43195318617275885</ml:real> <ml:real>2.0471565832515903</ml:real> <ml:real>0.42931966627119972</ml:real> <ml:real>2.0478288873533836</ml:real> <ml:real>0.42668417418405458</ml:real> <ml:real>2.0484970500901292</ml:real> <ml:real>0.42404671784696429</ml:real> <ml:real>2.0491610683826256</ml:real> <ml:real>0.42140730519816749</ml:real> <ml:real>2.0498209391641424</ml:real> <ml:real>0.41876594417848417</ml:real> <ml:real>2.0504766593804229</ml:real> <ml:real>0.41612264273129995</ml:real> <ml:real>2.0511282259896921</ml:real> <ml:real>0.41347740880254991</ml:real> <ml:real>2.0517756359626573</ml:real> <ml:real>0.41083025034070242</ml:real> <ml:real>2.052418886282513</ml:real> <ml:real>0.40818117529674341</ml:real> <ml:real>2.0530579739449455</ml:real> <ml:real>0.40553019162415987</ml:real> <ml:real>2.0536928959581364</ml:real> <ml:real>0.40287730727892368</ml:real> <ml:real>2.0543236493427659</ml:real> <ml:real>0.40022253021947574</ml:real> <ml:real>2.0549502311320182</ml:real> <ml:real>0.39756586840670949</ml:real> <ml:real>2.0555726383715833</ml:real> <ml:real>0.39490732980395515</ml:real> <ml:real>2.0561908681196628</ml:real> <ml:real>0.3922469223769634</ml:real> <ml:real>2.0568049174469718</ml:real> <ml:real>0.38958465409388909</ml:real> <ml:real>2.0574147834367444</ml:real> <ml:real>0.3869205329252749</ml:real> <ml:real>2.0580204631847367</ml:real> <ml:real>0.38425456684403564</ml:real> <ml:real>2.05862195379923</ml:real> <ml:real>0.38158676382544127</ml:real> <ml:real>2.0592192524010349</ml:real> <ml:real>0.37891713184710152</ml:real> <ml:real>2.0598123561234951</ml:real> <ml:real>0.37624567888894922</ml:real> <ml:real>2.0604012621124919</ml:real> <ml:real>0.37357241293322407</ml:real> <ml:real>2.0609859675264453</ml:real> <ml:real>0.370897341964456</ml:real> <ml:real>2.06156646953632</ml:real> <ml:real>0.36822047396944957</ml:real> <ml:real>2.0621427653256288</ml:real> <ml:real>0.36554181693726756</ml:real> <ml:real>2.0627148520904344</ml:real> <ml:real>0.36286137885921421</ml:real> <ml:real>2.0632827270393541</ml:real> <ml:real>0.36017916772881942</ml:real> <ml:real>2.0638463873935633</ml:real> <ml:real>0.3574951915418218</ml:real> <ml:real>2.0644058303867996</ml:real> <ml:real>0.35480945829615329</ml:real> <ml:real>2.0649610532653639</ml:real> <ml:real>0.35212197599192196</ml:real> <ml:real>2.0655120532881259</ml:real> <ml:real>0.34943275263139623</ml:real> <ml:real>2.0660588277265286</ml:real> <ml:real>0.34674179621898782</ml:real> <ml:real>2.0666013738645868</ml:real> <ml:real>0.34404911476123612</ml:real> <ml:real>2.0671396889988958</ml:real> <ml:real>0.3413547162667917</ml:real> <ml:real>2.0676737704386321</ml:real> <ml:real>0.33865860874639919</ml:real> <ml:real>2.0682036155055576</ml:real> <ml:real>0.33596080021288188</ml:real> <ml:real>2.0687292215340212</ml:real> <ml:real>0.33326129868112492</ml:real> <ml:real>2.0692505858709636</ml:real> <ml:real>0.33056011216805825</ml:real> <ml:real>2.0697677058759205</ml:real> <ml:real>0.3278572486926411</ml:real> <ml:real>2.0702805789210252</ml:real> <ml:real>0.325152716275845</ml:real> <ml:real>2.0707892023910106</ml:real> <ml:real>0.32244652294063791</ml:real> <ml:real>2.0712935736832154</ml:real> <ml:real>0.31973867671196671</ml:real> <ml:real>2.0717936902075849</ml:real> <ml:real>0.31702918561674182</ml:real> <ml:real>2.072289549386674</ml:real> <ml:real>0.31431805768382021</ml:real> <ml:real>2.0727811486556513</ml:real> <ml:real>0.31160530094398869</ml:real> <ml:real>2.073268485462302</ml:real> <ml:real>0.308890923429948</ml:real> <ml:real>2.0737515572670291</ml:real> <ml:real>0.30617493317629563</ml:real> <ml:real>2.0742303615428592</ml:real> <ml:real>0.3034573382195096</ml:real> <ml:real>2.0747048957754433</ml:real> <ml:real>0.30073814659793241</ml:real> <ml:real>2.075175157463061</ml:real> <ml:real>0.29801736635175358</ml:real> <ml:real>2.0756411441166227</ml:real> <ml:real>0.29529500552299359</ml:real> <ml:real>2.0761028532596724</ml:real> <ml:real>0.29257107215548728</ml:real> <ml:real>2.0765602824283897</ml:real> <ml:real>0.28984557429486768</ml:real> <ml:real>2.0770134291715969</ml:real> <ml:real>0.28711851998854837</ml:real> <ml:real>2.0774622910507548</ml:real> <ml:real>0.28438991728570789</ml:real> <ml:real>2.0779068656399717</ml:real> <ml:real>0.28165977423727284</ml:real> <ml:real>2.0783471505260014</ml:real> <ml:real>0.27892809889590092</ml:real> <ml:real>2.0787831433082511</ml:real> <ml:real>0.2761948993159648</ml:real> <ml:real>2.0792148415987781</ml:real> <ml:real>0.27346018355353513</ml:real> <ml:real>2.0796422430222976</ml:real> <ml:real>0.27072395966636437</ml:real> <ml:real>2.0800653452161821</ml:real> <ml:real>0.26798623571386943</ml:real> <ml:real>2.0804841458304657</ml:real> <ml:real>0.26524701975711557</ml:real> <ml:real>2.0808986425278455</ml:real> <ml:real>0.2625063198587998</ml:real> <ml:real>2.0813088329836855</ml:real> <ml:real>0.25976414408323351</ml:real> <ml:real>2.0817147148860169</ml:real> <ml:real>0.25702050049632652</ml:real> <ml:real>2.0821162859355442</ml:real> <ml:real>0.25427539716557013</ml:real> <ml:real>2.0825135438456437</ml:real> <ml:real>0.25152884216002036</ml:real> <ml:real>2.0829064863423685</ml:real> <ml:real>0.24878084355028113</ml:real> <ml:real>2.08329511116445</ml:real> <ml:real>0.24603140940848789</ml:real> <ml:real>2.0836794160633008</ml:real> <ml:real>0.24328054780829067</ml:real> <ml:real>2.0840593988030163</ml:real> <ml:real>0.24052826682483719</ml:real> <ml:real>2.0844350571603778</ml:real> <ml:real>0.23777457453475631</ml:real> <ml:real>2.0848063889248536</ml:real> <ml:real>0.2350194790161414</ml:real> <ml:real>2.0851733918986044</ml:real> <ml:real>0.23226298834853326</ml:real> <ml:real>2.0855360638964813</ml:real> <ml:real>0.22950511061290363</ml:real> <ml:real>2.08589440274603</ml:real> <ml:real>0.22674585389163815</ml:real> <ml:real>2.0862484062874942</ml:real> <ml:real>0.22398522626851991</ml:real> <ml:real>2.0865980723738162</ml:real> <ml:real>0.22122323582871212</ml:real> <ml:real>2.08694339887064</ml:real> <ml:real>0.21845989065874188</ml:real> <ml:real>2.0872843836563111</ml:real> <ml:real>0.21569519884648292</ml:real> <ml:real>2.0876210246218836</ml:real> <ml:real>0.21292916848113924</ml:real> <ml:real>2.087953319671116</ml:real> <ml:real>0.21016180765322778</ml:real> <ml:real>2.088281266720478</ml:real> <ml:real>0.20739312445456193</ml:real> <ml:real>2.0886048636991505</ml:real> <ml:real>0.20462312697823437</ml:real> <ml:real>2.0889241085490289</ml:real> <ml:real>0.20185182331860063</ml:real> <ml:real>2.0892389992247224</ml:real> <ml:real>0.1990792215712619</ml:real> <ml:real>2.0895495336935594</ml:real> <ml:real>0.19630532983304821</ml:real> <ml:real>2.0898557099355868</ml:real> <ml:real>0.19353015620200176</ml:real> <ml:real>2.0901575259435732</ml:real> <ml:real>0.19075370877735964</ml:real> <ml:real>2.0904549797230096</ml:real> <ml:real>0.18797599565953738</ml:real> <ml:real>2.0907480692921125</ml:real> <ml:real>0.18519702495011153</ml:real> <ml:real>2.0910367926818263</ml:real> <ml:real>0.18241680475180344</ml:real> <ml:real>2.091321147935822</ml:real> <ml:real>0.17963534316846164</ml:real> <ml:real>2.0916011331105029</ml:real> <ml:real>0.17685264830504532</ml:real> <ml:real>2.0918767462750028</ml:real> <ml:real>0.1740687282676075</ml:real> <ml:real>2.0921479855111911</ml:real> <ml:real>0.17128359116327752</ml:real> <ml:real>2.0924148489136707</ml:real> <ml:real>0.16849724510024489</ml:real> <ml:real>2.0926773345897827</ml:real> <ml:real>0.16570969818774145</ml:real> <ml:real>2.0929354406596063</ml:real> <ml:real>0.16292095853602512</ml:real> <ml:real>2.0931891652559629</ml:real> <ml:real>0.16013103425636266</ml:real> <ml:real>2.0934385065244139</ml:real> <ml:real>0.1573399334610126</ml:real> <ml:real>2.0936834626232641</ml:real> <ml:real>0.15454766426320843</ml:real> <ml:real>2.0939240317235646</ml:real> <ml:real>0.15175423477714162</ml:real> <ml:real>2.0941602120091121</ml:real> <ml:real>0.14895965311794451</ml:real> <ml:real>2.0943920016764519</ml:real> <ml:real>0.14616392740167311</ml:real> <ml:real>2.0946193989348778</ml:real> <ml:real>0.14336706574529057</ml:real> <ml:real>2.0948424020064351</ml:real> <ml:real>0.14056907626664972</ml:real> <ml:real>2.0950610091259216</ml:real> <ml:real>0.13776996708447648</ml:real> <ml:real>2.0952752185408872</ml:real> <ml:real>0.13496974631835224</ml:real> <ml:real>2.095485028511638</ml:real> <ml:real>0.13216842208869711</ml:real> <ml:real>2.0956904373112355</ml:real> <ml:real>0.12936600251675323</ml:real> <ml:real>2.0958914432254994</ml:real> <ml:real>0.12656249572456735</ml:real> <ml:real>2.0960880445530075</ml:real> <ml:real>0.12375790983497342</ml:real> <ml:real>2.0962802396050977</ml:real> <ml:real>0.1209522529715763</ml:real> <ml:real>2.0964680267058693</ml:real> <ml:real>0.11814553325873417</ml:real> <ml:real>2.0966514041921829</ml:real> <ml:real>0.11533775882154157</ml:real> <ml:real>2.0968303704136644</ml:real> <ml:real>0.11252893778581247</ml:real> <ml:real>2.097004923732702</ml:real> <ml:real>0.10971907827806254</ml:real> <ml:real>2.0971750625244518</ml:real> <ml:real>0.1069081884254931</ml:real> <ml:real>2.0973407851768346</ml:real> <ml:real>0.10409627635597341</ml:real> <ml:real>2.0975020900905403</ml:real> <ml:real>0.10128335019802287</ml:real> <ml:real>2.0976589756790265</ml:real> <ml:real>0.098469418080795457</ml:real> <ml:real>2.0978114403685213</ml:real> <ml:real>0.095654488134061466</ml:real> <ml:real>2.0979594825980241</ml:real> <ml:real>0.0928385684881905</ml:real> <ml:real>2.0981031008193032</ml:real> <ml:real>0.090021667274134964</ml:real> <ml:real>2.0982422934969032</ml:real> <ml:real>0.0872037926234121</ml:real> <ml:real>2.09837705910814</ml:real> <ml:real>0.084384952668087043</ml:real> <ml:real>2.0985073961431029</ml:real> <ml:real>0.081565155540756384</ml:real> <ml:real>2.0986333031046578</ml:real> <ml:real>0.078744409374530033</ml:real> <ml:real>2.0987547785084457</ml:real> <ml:real>0.075922722303014833</ml:real> <ml:real>2.0988718208828852</ml:real> <ml:real>0.073100102460296412</ml:real> <ml:real>2.098984428769171</ml:real> <ml:real>0.070276557980923138</ml:real> <ml:real>2.0990926007212765</ml:real> <ml:real>0.067452096999888522</ml:real> <ml:real>2.0991963353059537</ml:real> <ml:real>0.064626727652613292</ml:real> <ml:real>2.0992956311027333</ml:real> <ml:real>0.0618004580749294</ml:real> <ml:real>2.0993904867039284</ml:real> <ml:real>0.058973296403062092</ml:real> <ml:real>2.09948090071463</ml:real> <ml:real>0.056145250773612765</ml:real> <ml:real>2.0995668717527116</ml:real> <ml:real>0.053316329323541911</ml:real> <ml:real>2.0996483984488288</ml:real> <ml:real>0.050486540190151918</ml:real> <ml:real>2.0997254794464189</ml:real> <ml:real>0.047655891511069581</ml:real> <ml:real>2.0997981134017021</ml:real> <ml:real>0.044824391424229171</ml:real> <ml:real>2.0998662989836818</ml:real> <ml:real>0.041992048067855059</ml:real> <ml:real>2.0999300348741454</ml:real> <ml:real>0.039158869580444677</ml:real> <ml:real>2.0999893197676642</ml:real> <ml:real>0.036324864100750864</ml:real> <ml:real>2.100044152371594</ml:real> <ml:real>0.033490039767764934</ml:real> <ml:real>2.1000945314060759</ml:real> <ml:real>0.03065440472069958</ml:real> <ml:real>2.1001404556040355</ml:real> <ml:real>0.027817967098970831</ml:real> <ml:real>2.1001819237111841</ml:real> <ml:real>0.024980735042181956</ml:real> <ml:real>2.1002189344860196</ml:real> <ml:real>0.022142716690105202</ml:real> <ml:real>2.100251486699825</ml:real> <ml:real>0.019303920182665024</ml:real> <ml:real>2.1002795791366697</ml:real> <ml:real>0.016464353659920716</ml:real> <ml:real>2.1003032105934096</ml:real> <ml:real>0.013624025262049033</ml:real> <ml:real>2.100322379879688</ml:real> <ml:real>0.010782943129326983</ml:real> <ml:real>2.1003370858179342</ml:real> <ml:real>0.0079411154021145069</ml:real> <ml:real>2.1003473272433641</ml:real> <ml:real>0.0050985502208371614</ml:real> <ml:real>2.1003531030039819</ml:real> <ml:real>0.0022552557259689077</ml:real> <ml:real>2.100354411960577</ml:real> <ml:real>-0.0005887599419851508</ml:real> <ml:real>2.1003512529867283</ml:real> <ml:real>-0.0034334886425065325</ml:real> <ml:real>2.100343624968799</ml:real> <ml:real>-0.00627892223507992</ml:real> <ml:real>2.1003315268059417</ml:real> <ml:real>-0.0091250525792112014</ml:real> <ml:real>2.1003149574100943</ml:real> <ml:real>-0.011971871534444345</ml:real> <ml:real>2.1002939157059832</ml:real> <ml:real>-0.014819370960378997</ml:real> <ml:real>2.100268400631121</ml:real> <ml:real>-0.017667542716687412</ml:real> <ml:real>2.1002384111358063</ml:real> <ml:real>-0.02051637866313244</ml:real> <ml:real>2.1002039461831252</ml:real> <ml:real>-0.023365870659584231</ml:real> <ml:real>2.10016500474895</ml:real> <ml:real>-0.026216010566037951</ml:real> <ml:real>2.1001215858219395</ml:real> <ml:real>-0.02906679024263098</ml:real> <ml:real>2.1000736884035374</ml:real> <ml:real>-0.0319182015496603</ml:real> <ml:real>2.1000213115079736</ml:real> <ml:real>-0.034770236347599848</ml:real> <ml:real>2.0999644541622646</ml:real> <ml:real>-0.037622886497117869</ml:real> <ml:real>2.0999031154062098</ml:real> <ml:real>-0.040476143859094538</ml:real> <ml:real>2.0998372942923944</ml:real> <ml:real>-0.043330000294638626</ml:real> <ml:real>2.0997669898861888</ml:real> <ml:real>-0.04618444766510571</ml:real> <ml:real>2.099692201265746</ml:real> <ml:real>-0.04903947783211493</ml:real> <ml:real>2.0996129275220028</ml:real> <ml:real>-0.051895082657566816</ml:real> <ml:real>2.09952916775868</ml:real> <ml:real>-0.054751254003660155</ml:real> <ml:real>2.0994409210922789</ml:real> <ml:real>-0.057607983732909984</ml:real> <ml:real>2.0993481866520858</ml:real> <ml:real>-0.060465263708164463</ml:real> <ml:real>2.0992509635801664</ml:real> <ml:real>-0.063323085792622746</ml:real> <ml:real>2.0991492510313674</ml:real> <ml:real>-0.066181441849851586</ml:real> <ml:real>2.0990430481733169</ml:real> <ml:real>-0.069040323743803811</ml:real> <ml:real>2.0989323541864224</ml:real> <ml:real>-0.071899723338834765</ml:real> <ml:real>2.0988171682638703</ml:real> <ml:real>-0.074759632499720452</ml:real> <ml:real>2.0986974896116255</ml:real> <ml:real>-0.077620043091674418</ml:real> <ml:real>2.0985733174484302</ml:real> <ml:real>-0.080480946980365231</ml:real> <ml:real>2.0984446510058046</ml:real> <ml:real>-0.0833423360319342</ml:real> <ml:real>2.0983114895280446</ml:real> <ml:real>-0.0862042021130126</ml:real> <ml:real>2.0981738322722214</ml:real> <ml:real>-0.089066537090739084</ml:real> <ml:real>2.0980316785081818</ml:real> <ml:real>-0.091929332832776933</ml:real> <ml:real>2.0978850275185446</ml:real> <ml:real>-0.094792581207331916</ml:real> <ml:real>2.097733878598703</ml:real> <ml:real>-0.09765627408316957</ml:real> <ml:real>2.0975782310568225</ml:real> <ml:real>-0.10052040332963214</ml:real> <ml:real>2.0974180842138384</ml:real> <ml:real>-0.10338496081665677</ml:real> <ml:real>2.0972534374034568</ml:real> <ml:real>-0.10624993841479236</ml:real> <ml:real>2.0970842899721545</ml:real> <ml:real>-0.10911532799521734</ml:real> <ml:real>2.0969106412791736</ml:real> <ml:real>-0.11198112142975691</ml:real> <ml:real>2.0967324906965255</ml:real> <ml:real>-0.1148473105909007</ml:real> <ml:real>2.0965498376089875</ml:real> <ml:real>-0.11771388735181998</ml:real> <ml:real>2.0963626814141012</ml:real> <ml:real>-0.12058084358638521</ml:real> <ml:real>2.0961710215221729</ml:real> <ml:real>-0.12344817116918361</ml:real> <ml:real>2.0959748573562713</ml:real> <ml:real>-0.1263158619755364</ml:real> <ml:real>2.0957741883522267</ml:real> <ml:real>-0.12918390788151651</ml:real> <ml:real>2.09556901395863</ml:real> <ml:real>-0.13205230076396568</ml:real> <ml:real>2.0953593336368312</ml:real> <ml:real>-0.13492103250051213</ml:real> <ml:real>2.0951451468609381</ml:real> <ml:real>-0.13779009496958816</ml:real> <ml:real>2.0949264531178158</ml:real> <ml:real>-0.14065948005044754</ml:real> <ml:real>2.0947032519070841</ml:real> <ml:real>-0.14352917962318279</ml:real> <ml:real>2.094475542741117</ml:real> <ml:real>-0.14639918556874271</ml:real> <ml:real>2.0942433251450412</ml:real> <ml:real>-0.14926948976895021</ml:real> <ml:real>2.094006598656736</ml:real> <ml:real>-0.15214008410651914</ml:real> <ml:real>2.0937653628268276</ml:real> <ml:real>-0.15501096046507229</ml:real> <ml:real>2.0935196172186936</ml:real> <ml:real>-0.1578821107291587</ml:real> <ml:real>2.0932693614084577</ml:real> <ml:real>-0.16075352678427096</ml:real> <ml:real>2.0930145949849877</ml:real> <ml:real>-0.16362520051686319</ml:real> <ml:real>2.0927553175498974</ml:real> <ml:real>-0.16649712381436782</ml:real> <ml:real>2.0924915287175416</ml:real> <ml:real>-0.16936928856521361</ml:real> <ml:real>2.0922232281150168</ml:real> <ml:real>-0.17224168665884293</ml:real> <ml:real>2.0919504153821582</ml:real> <ml:real>-0.17511430998572952</ml:real> <ml:real>2.0916730901715388</ml:real> <ml:real>-0.17798715043739549</ml:real> <ml:real>2.0913912521484672</ml:real> <ml:real>-0.18086019990642882</ml:real> <ml:real>2.0911049009909868</ml:real> <ml:real>-0.18373345028650145</ml:real> <ml:real>2.0908140363898733</ml:real> <ml:real>-0.18660689347238663</ml:real> <ml:real>2.0905186580486328</ml:real> <ml:real>-0.18948052135997567</ml:real> <ml:real>2.0902187656835007</ml:real> <ml:real>-0.19235432584629625</ml:real> <ml:real>2.0899143590234406</ml:real> <ml:real>-0.19522829882952941</ml:real> <ml:real>2.0896054378101394</ml:real> <ml:real>-0.19810243220902757</ml:real> <ml:real>2.0892920017980097</ml:real> <ml:real>-0.20097671788533134</ml:real> <ml:real>2.0889740507541843</ml:real> <ml:real>-0.20385114776018765</ml:real> <ml:real>2.0886515844585154</ml:real> <ml:real>-0.20672571373656706</ml:real> <ml:real>2.0883246027035751</ml:real> <ml:real>-0.20960040771868094</ml:real> <ml:real>2.08799310529465</ml:real> <ml:real>-0.21247522161199939</ml:real> <ml:real>2.0876570920497395</ml:real> <ml:real>-0.21535014732326857</ml:real> <ml:real>2.0873165627995562</ml:real> <ml:real>-0.21822517676052794</ml:real> <ml:real>2.0869715173875227</ml:real> <ml:real>-0.2211003018331284</ml:real> <ml:real>2.0866219556697696</ml:real> <ml:real>-0.22397551445174924</ml:real> <ml:real>2.0862678775151311</ml:real> <ml:real>-0.22685080652841588</ml:real> <ml:real>2.0859092828051469</ml:real> <ml:real>-0.22972616997651718</ml:real> <ml:real>2.0855461714340566</ml:real> <ml:real>-0.23260159671082326</ml:real> <ml:real>2.0851785433088006</ml:real> <ml:real>-0.23547707864750272</ml:real> <ml:real>2.0848063983490146</ml:real> <ml:real>-0.2383526077041403</ml:real> <ml:real>2.0844297364870306</ml:real> <ml:real>-0.24122817579975431</ml:real> <ml:real>2.0840485576678707</ml:real> <ml:real>-0.24410377485481422</ml:real> <ml:real>2.0836628618492496</ml:real> <ml:real>-0.24697939679125808</ml:real> <ml:real>2.0832726490015689</ml:real> <ml:real>-0.24985503353251015</ml:real> <ml:real>2.0828779191079154</ml:real> <ml:real>-0.25273067700349805</ml:real> <ml:real>2.0824786721640596</ml:real> <ml:real>-0.25560631913067083</ml:real> <ml:real>2.0820749081784511</ml:real> <ml:real>-0.258481951842016</ml:real> <ml:real>2.0816666271722206</ml:real> <ml:real>-0.26135756706707713</ml:real> <ml:real>2.0812538291791718</ml:real> <ml:real>-0.2642331567369719</ml:real> <ml:real>2.080836514245783</ml:real> <ml:real>-0.26710871278440868</ml:real> <ml:real>2.0804146824312038</ml:real> <ml:real>-0.26998422714370474</ml:real> <ml:real>2.0799883338072513</ml:real> <ml:real>-0.27285969175080343</ml:real> <ml:real>2.0795574684584084</ml:real> <ml:real>-0.27573509854329187</ml:real> <ml:real>2.0791220864818207</ml:real> <ml:real>-0.27861043946041819</ml:real> <ml:real>2.0786821879872956</ml:real> <ml:real>-0.28148570644310944</ml:real> <ml:real>2.078237773097297</ml:real> <ml:real>-0.2843608914339889</ml:real> <ml:real>2.077788841946945</ml:real> <ml:real>-0.28723598637739317</ml:real> <ml:real>2.0773353946840105</ml:real> <ml:real>-0.29011098321939033</ml:real> <ml:real>2.0768774314689162</ml:real> <ml:real>-0.29298587390779735</ml:real> <ml:real>2.0764149524747308</ml:real> <ml:real>-0.29586065039219711</ml:real> <ml:real>2.0759479578871671</ml:real> <ml:real>-0.29873530462395642</ml:real> <ml:real>2.0754764479045789</ml:real> <ml:real>-0.30160982855624296</ml:real> <ml:real>2.075000422737959</ml:real> <ml:real>-0.30448421414404359</ml:real> <ml:real>2.0745198826109359</ml:real> <ml:real>-0.30735845334418122</ml:real> <ml:real>2.0740348277597707</ml:real> <ml:real>-0.31023253811533225</ml:real> <ml:real>2.073545258433354</ml:real> <ml:real>-0.31310646041804452</ml:real> <ml:real>2.0730511748932043</ml:real> <ml:real>-0.31598021221475459</ml:real> <ml:real>2.0725525774134623</ml:real> <ml:real>-0.31885378546980525</ml:real> <ml:real>2.0720494662808915</ml:real> <ml:real>-0.321727172149463</ml:real> <ml:real>2.0715418417948714</ml:real> <ml:real>-0.32460036422193539</ml:real> <ml:real>2.0710297042673975</ml:real> <ml:real>-0.32747335365738872</ml:real> <ml:real>2.0705130540230767</ml:real> <ml:real>-0.33034613242796562</ml:real> <ml:real>2.0699918913991238</ml:real> <ml:real>-0.33321869250780212</ml:real> <ml:real>2.0694662167453606</ml:real> <ml:real>-0.33609102587304596</ml:real> <ml:real>2.0689360304242093</ml:real> <ml:real>-0.33896312450187294</ml:real> <ml:real>2.0684013328106921</ml:real> <ml:real>-0.34183498037450522</ml:real> <ml:real>2.0678621242924273</ml:real> <ml:real>-0.34470658547322869</ml:real> <ml:real>2.0673184052696252</ml:real> <ml:real>-0.34757793178241042</ml:real> <ml:real>2.0667701761550852</ml:real> <ml:real>-0.35044901128851569</ml:real> <ml:real>2.0662174373741937</ml:real> <ml:real>-0.35331981598012629</ml:real> <ml:real>2.0656601893649182</ml:real> <ml:real>-0.35619033784795728</ml:real> <ml:real>2.0650984325778072</ml:real> <ml:real>-0.35906056888487503</ml:real> <ml:real>2.0645321674759836</ml:real> <ml:real>-0.36193050108591396</ml:real> <ml:real>2.063961394535144</ml:real> <ml:real>-0.36480012644829507</ml:real> <ml:real>2.0633861142435523</ml:real> <ml:real>-0.36766943697144228</ml:real> <ml:real>2.06280632710204</ml:real> <ml:real>-0.37053842465700082</ml:real> <ml:real>2.0622220336239994</ml:real> <ml:real>-0.37340708150885404</ml:real> <ml:real>2.0616332343353809</ml:real> <ml:real>-0.37627539953314137</ml:real> <ml:real>2.0610399297746911</ml:real> <ml:real>-0.37914337073827542</ml:real> <ml:real>2.0604421204929868</ml:real> <ml:real>-0.38201098713495973</ml:real> <ml:real>2.0598398070538742</ml:real> <ml:real>-0.38487824073620591</ml:real> <ml:real>2.0592329900335011</ml:real> <ml:real>-0.38774512355735158</ml:real> <ml:real>2.0586216700205582</ml:real> <ml:real>-0.39061162761607704</ml:real> <ml:real>2.0580058476162715</ml:real> <ml:real>-0.3934777449324236</ml:real> <ml:real>2.0573855234344</ml:real> <ml:real>-0.39634346752881061</ml:real> <ml:real>2.056760698101233</ml:real> <ml:real>-0.39920878743005273</ml:real> <ml:real>2.0561313722555843</ml:real> <ml:real>-0.40207369666337783</ml:real> <ml:real>2.0554975465487897</ml:real> <ml:real>-0.404938187258444</ml:real> <ml:real>2.0548592216447035</ml:real> <ml:real>-0.40780225124735736</ml:real> <ml:real>2.0542163982196922</ml:real> <ml:real>-0.41066588066468912</ml:real> <ml:real>2.0535690769626354</ml:real> <ml:real>-0.41352906754749336</ml:real> <ml:real>2.0529172585749156</ml:real> <ml:real>-0.41639180393532427</ml:real> <ml:real>2.0522609437704205</ml:real> <ml:real>-0.41925408187025348</ml:real> <ml:real>2.0516001332755334</ml:real> <ml:real>-0.42211589339688804</ml:real> <ml:real>2.0509348278291335</ml:real> <ml:real>-0.424977230562387</ml:real> <ml:real>2.0502650281825909</ml:real> <ml:real>-0.42783808541647972</ml:real> <ml:real>2.0495907350997604</ml:real> <ml:real>-0.43069845001148238</ml:real> <ml:real>2.0489119493569792</ml:real> <ml:real>-0.43355831640231612</ml:real> <ml:real>2.0482286717430638</ml:real> <ml:real>-0.43641767664652431</ml:real> <ml:real>2.0475409030593026</ml:real> <ml:real>-0.43927652280428975</ml:real> <ml:real>2.0468486441194558</ml:real> <ml:real>-0.44213484693845206</ml:real> <ml:real>2.0461518957497478</ml:real> <ml:real>-0.44499264111452541</ml:real> <ml:real>2.045450658788865</ml:real> <ml:real>-0.44784989740071551</ml:real> <ml:real>2.0447449340879507</ml:real> <ml:real>-0.45070660786793726</ml:real> <ml:real>2.0440347225106006</ml:real> <ml:real>-0.45356276458983225</ml:real> <ml:real>2.0433200249328602</ml:real> <ml:real>-0.456418359642786</ml:real> <ml:real>2.0426008422432176</ml:real> <ml:real>-0.45927338510594495</ml:real> <ml:real>2.0418771753426022</ml:real> <ml:real>-0.46212783306123484</ml:real> <ml:real>2.0411490251443776</ml:real> <ml:real>-0.4649816955933771</ml:real> <ml:real>2.0404163925743397</ml:real> <ml:real>-0.46783496478990672</ml:real> <ml:real>2.03967927857071</ml:real> <ml:real>-0.47068763274118941</ml:real> <ml:real>2.0389376840841336</ml:real> <ml:real>-0.47353969154043951</ml:real> <ml:real>2.0381916100776714</ml:real> <ml:real>-0.47639113328373645</ml:real> <ml:real>2.0374410575267987</ml:real> <ml:real>-0.47924195007004294</ml:real> <ml:real>2.0366860274193987</ml:real> <ml:real>-0.48209213400122175</ml:real> <ml:real>2.0359265207557606</ml:real> <ml:real>-0.48494167718205361</ml:real> <ml:real>2.0351625385485708</ml:real> <ml:real>-0.48779057172025375</ml:real> <ml:real>2.0343940818229109</ml:real> <ml:real>-0.49063880972649032</ml:real> <ml:real>2.0336211516162543</ml:real> <ml:real>-0.49348638331440065</ml:real> <ml:real>2.0328437489784581</ml:real> <ml:real>-0.49633328460060955</ml:real> <ml:real>2.0320618749717614</ml:real> <ml:real>-0.499179505704746</ml:real> <ml:real>2.0312755306707784</ml:real> <ml:real>-0.50202503874946069</ml:real> <ml:real>2.0304847171624956</ml:real> <ml:real>-0.50486987586044363</ml:real> <ml:real>2.0296894355462656</ml:real> <ml:real>-0.50771400916644061</ml:real> <ml:real>2.0288896869338027</ml:real> <ml:real>-0.51055743079927163</ml:real> <ml:real>2.0280854724491779</ml:real> <ml:real>-0.51340013289384745</ml:real> <ml:real>2.0272767932288147</ml:real> <ml:real>-0.51624210758818723</ml:real> <ml:real>2.0264636504214835</ml:real> <ml:real>-0.51908334702343562</ml:real> <ml:real>2.0256460451882967</ml:real> <ml:real>-0.52192384334388042</ml:real> <ml:real>2.0248239787027043</ml:real> <ml:real>-0.52476358869696926</ml:real> <ml:real>2.0239974521504882</ml:real> <ml:real>-0.52760257523332765</ml:real> <ml:real>2.0231664667297578</ml:real> <ml:real>-0.53044079510677566</ml:real> <ml:real>2.0223310236509442</ml:real> <ml:real>-0.5332782404743458</ml:real> <ml:real>2.021491124136797</ml:real> <ml:real>-0.53611490349629942</ml:real> <ml:real>2.0206467694223766</ml:real> <ml:real>-0.53895077633614474</ml:real> <ml:real>2.0197979607550502</ml:real> <ml:real>-0.541785851160654</ml:real> <ml:real>2.0189446993944884</ml:real> <ml:real>-0.54462012013988037</ml:real> <ml:real>2.0180869866126572</ml:real> <ml:real>-0.54745357544717577</ml:real> <ml:real>2.0172248236938142</ml:real> <ml:real>-0.55028620925920746</ml:real> <ml:real>2.0163582119345032</ml:real> <ml:real>-0.55311801375597591</ml:real> <ml:real>2.0154871526435487</ml:real> <ml:real>-0.55594898112083158</ml:real> <ml:real>2.0146116471420532</ml:real> <ml:real>-0.55877910354049243</ml:real> <ml:real>2.0137316967633856</ml:real> <ml:real>-0.56160837320506107</ml:real> <ml:real>2.0128473028531841</ml:real> <ml:real>-0.56443678230804206</ml:real> <ml:real>2.0119584667693431</ml:real> <ml:real>-0.56726432304635888</ml:real> <ml:real>2.0110651898820144</ml:real> <ml:real>-0.57009098762037169</ml:real> <ml:real>2.0101674735735959</ml:real> <ml:real>-0.5729167682338937</ml:real> <ml:real>2.0092653192387311</ml:real> <ml:real>-0.5757416570942091</ml:real> <ml:real>2.0083587282843003</ml:real> <ml:real>-0.5785656464120903</ml:real> <ml:real>2.0074477021294168</ml:real> <ml:real>-0.58138872840181444</ml:real> <ml:real>2.0065322422054215</ml:real> <ml:real>-0.58421089528118131</ml:real> <ml:real>2.005612349955876</ml:real> <ml:real>-0.58703213927153008</ml:real> <ml:real>2.0046880268365577</ml:real> <ml:real>-0.58985245259775665</ml:real> <ml:real>2.0037592743154544</ml:real> <ml:real>-0.5926718274883308</ml:real> <ml:real>2.0028260938727591</ml:real> <ml:real>-0.59549025617531359</ml:real> <ml:real>2.0018884870008642</ml:real> <ml:real>-0.59830773089437406</ml:real> <ml:real>2.0009464552043532</ml:real> <ml:real>-0.60112424388480667</ml:real> <ml:real>2</ml:real> <ml:real>-0.60393978738954834</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <table item-idref="113"/> </resultFormat> </math> <rendering item-idref="114"/> </region> <region region-id="1885" left="42" top="3708.75" width="405" height="13.5" align-x="42" align-y="3720" 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">Полученные приближенное и точное решения можно сравнить на графике:</f> </text> </region> <region region-id="1773" left="42" top="3750" width="255" height="135.75" align-x="42" align-y="3750" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="115"/> <rendering item-idref="116"/> </region> <region region-id="1997" left="390" top="3739.5" width="105" height="22.5" align-x="408" align-y="3756" 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>0.0015707963267948967</ml:real> </result> </ml:eval> </math> <rendering item-idref="117"/> </region> <region region-id="1995" left="396" top="3774.75" width="81.75" height="17.25" align-x="428.25" align-y="3786" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>1</ml:real> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0021929247043186</ml:real> </result> </ml:eval> </math> <rendering item-idref="118"/> </region> <region region-id="1776" left="390" top="3798.75" width="78" height="17.25" align-x="418.5" align-y="3810" 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>700</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0995574287564276</ml:real> </result> </ml:eval> </math> <rendering item-idref="119"/> </region> <region region-id="1775" left="384" top="3840.75" width="92.25" height="17.25" align-x="426.75" align-y="3852" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>700</ml:real> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.0829064863423685</ml:real> </result> </ml:eval> </math> <rendering item-idref="120"/> </region> <region region-id="1891" left="36" top="3912" width="392.25" height="14.25" align-x="36" align-y="3924" 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"> Примечание </f> <f family="Arial Cyr" charset="204" size="12">. Выше можно взять КК = 2 и увидеть ломаную линию Y[0,k].</f> </text> </region> <region region-id="2004" left="36" top="3942.75" width="458.25" height="40.5" align-x="36" align-y="3954" 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">Проведём сравнение полученного решения методом припасовывания в точке x=1<sp count="2"/> </f> <f family="Arial Cyr" charset="204" size="12">со значением решения, полученного ШПО в Maple в той же точке. Для этого найдём </f> <f family="Arial Cyr" charset="204" size="12">индекс k1 из уравнения: k1=floor((1-x[0])/h) </f> </text> </region> <region region-id="2006" left="36" top="3993" width="101.25" height="35.25" align-x="57.75" align-y="4014" 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">k1</ml:id> <ml:apply> <ml:id xml:space="preserve">floor</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</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="121"/> </region> <region region-id="2007" left="156" top="4002.75" width="54.75" height="15.75" align-x="176.25" align-y="4014" 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">k1</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>636</ml:real> </result> </ml:eval> </math> <rendering item-idref="122"/> </region> <region region-id="2008" left="240" top="4002.75" width="66.75" height="17.25" align-x="263.25" align-y="4014" 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:id xml:space="preserve">k1</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.99902646384155425</ml:real> </result> </ml:eval> </math> <rendering item-idref="123"/> </region> <region region-id="2009" left="342" top="4002.75" width="87" height="17.25" align-x="379.5" align-y="4014" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k1</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.0491610683826256</ml:real> </result> </ml:eval> </math> <rendering item-idref="124"/> </region> <region region-id="2011" left="36" top="4044.75" width="394.5" height="27" align-x="36" align-y="4056" 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 прошла успешно, совпадение результатов подтверждено (см. </f> <f family="Arial Cyr" charset="204" size="12">в Maple Пример №2).</f> </text> </region> <region region-id="1746" left="42" top="4086" width="463.5" height="27.75" align-x="42" align-y="4098" 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"> Упражнение. </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false"> Привести п</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false">ример </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">других краевых условий, когда частного решения нет<sp count="8"/> </inlineAttr> </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">М</inlineAttr> </f> <f family="Arial Cyr" charset="204">ожно взять граничные условия: y(0)=1, y'(Pi/2)=1).</f> </text> </region> <region region-id="1750" left="30" top="4140.75" width="462.75" height="27" align-x="30" align-y="4152" 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">Если Вы хотите сравнить полученное Вами решение с ответом, откройте в электрон-</f> <f family="Arial Cyr" charset="204" size="12">ной версии пособия ниже представленную закрытую область.</f> </text> </region> <region region-id="1753" left="0" top="4173" width="6008.25" align-x="8.25" align-y="4182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="1514.25"> <area is-collapsed="false" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="1753" bottom-lock-id="1754" bottom-tag=""> <region region-id="1864" left="30" top="4191.75" width="470.25" height="16.5" align-x="30" align-y="4206" 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">По-прежнему рассматриваем уравнение y'' + y = e</f> <f family="Arial Cyr" charset="204" size="12"> -x </f> <sp/> <f family="Arial Cyr" charset="204" size="12">и для заданных граничных условий</f> </text> </region> <region region-id="1806" left="24" top="4227.75" width="489.75" height="138" align-x="24" align-y="4248" 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" charset="0" size="10"> <inlineAttr font-style="normal" underline="false"> y(0)=1, y'(Pi/2)=1 </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">его решение будет</inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr font-style="normal" underline="false">: </inlineAttr> </f> <region region-id="1538" left="210" top="4228.5" width="176.25" height="33.75" align-x="237.75" align-y="4248" 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">x</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">B</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="125"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">. </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">Где не</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">известный коэффициент В определяется из 2-го граничного условия:</inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> <region region-id="1539" left="24" top="4276.5" width="185.25" height="33.75" align-x="54" align-y="4296" 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">x</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:neg/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">B</ml:id> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="126"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">,<sp count="2"/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">то есть</inlineAttr> </f> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial" charset="0" size="10"> <sp/> </f> </inlineAttr> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> <region region-id="1540" left="264" top="4263" width="147.75" height="47.25" align-x="304.5" align-y="4296" 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:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:lessThan/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>-1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> <ml:real>0</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="127"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <f family="Arial" charset="0" size="10">.</f> </inlineAttr> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12">Это означает, что</f> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">, </inlineAttr> </f> <f family="Arial" charset="0">y'(Pi/2) <>1! </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">Следовательно</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="10"> <inlineAttr font-style="normal" underline="false">, </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">какой бы</inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr font-style="normal" underline="false"> <sp/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false">коэффициент </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr underline="false">В</inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-style="normal" underline="false"> мы не выбирали, полученное таким образом решение заданным краевым условиям удовлетворять не будет. Представим решение как функцию параметра </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr underline="false">В</inlineAttr> </f> </text> </region> <region region-id="1554" left="30" top="4408.5" width="193.5" height="33.75" align-x="70.5" align-y="4428" 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">y</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">B</ml:id> </ml:boundVars> </ml:function> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">B</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="128"/> </region> <region region-id="1553" left="306" top="4395" width="138.75" height="47.25" align-x="388.5" align-y="4428" 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:mult style="default"/> <ml:apply> <ml:div/> <ml:real>-1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-0.603939788175381</ml:real> </result> </ml:eval> </math> <rendering item-idref="129"/> </region> <region region-id="1808" left="30" top="4458" width="483" height="54.75" align-x="30" align-y="4470" 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">и построим графики y(t,B) для разных </f> <f family="Arial Cyr" charset="204" size="12"> В. </f> <f family="Arial Cyr" charset="204" size="12"> Все эти и другие кривые в точке t=pi/2, будут иметь одну и ту же касательную с угловым коэффициентом - 0,6039. Кроме этого у</f> <f family="Arial Cyr" charset="204" size="12">множества решений </f> <f family="Arial Cyr" charset="204" size="12">y(t,B) есть стационарная точка t=pi, через которую проходит каж-</f> <f family="Arial Cyr" charset="204" size="12">дая кривая этого семейства.</f> </text> </region> <region region-id="1556" left="36" top="4560" width="251.25" height="139.5" align-x="36" align-y="4560" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="130"/> <rendering item-idref="131"/> </region> <region region-id="1679" left="18" top="4734" width="490.5" height="31.5" align-x="18" align-y="4746" 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">Сформулируем запись граничных условий</f> <f family="Arial" charset="0" size="12">: </f> <region region-id="1564" left="252" top="4734.75" width="50.25" height="17.25" align-x="285.75" align-y="4746" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="132"/> </region> <f family="Arial" charset="0" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> ,<sp count="2"/> </inlineAttr> </f> <region region-id="1565" left="318" top="4734.75" width="59.25" height="17.25" align-x="360.75" align-y="4746" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="133"/> </region> <f family="Arial" charset="0" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> <f family="Arial Cyr" charset="204" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">и найдем коэффициенты альфа и бетта для участка k=0</inlineAttr> </f> </text> </region> <region region-id="1826" left="24" top="4782" width="51" height="18" align-x="58.5" align-y="4794" 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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="134"/> </region> <region region-id="1827" left="102" top="4782" width="51" height="18" align-x="136.5" align-y="4794" 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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="135"/> </region> <region region-id="1828" left="180" top="4782" width="49.5" height="18" align-x="213.75" align-y="4794" 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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:define> </math> <rendering item-idref="136"/> </region> <region region-id="1829" left="258" top="4782" width="50.25" height="18" align-x="291.75" align-y="4794" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="137"/> </region> <region region-id="1830" left="24" top="4806.75" width="420.75" height="13.5" align-x="24" align-y="4818" 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">На участке k=0 решение и его производная будут определяться уравнениями</f> </text> </region> <region region-id="1831" left="18" top="4853.25" width="468.75" height="18.75" align-x="18" align-y="4866" 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" charset="0" size="12"> <sp/> </f> <f family="Arial" charset="0" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp/> </inlineAttr> </f> <region region-id="1570" left="24" top="4854" width="131.25" height="18" align-x="54.75" align-y="4866" 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">Z</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="138"/> </region> <f family="Arial" charset="0" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>,<sp count="4"/> </inlineAttr> </f> <region region-id="1571" left="180" top="4854" width="131.25" height="18" align-x="210.75" align-y="4866" 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">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Z</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="139"/> </region> <f family="Arial" charset="0" size="12"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/> </inlineAttr> </f> <f family="Arial" charset="0" size="12"> <sp/> </f> </text> </region> <region region-id="1832" left="24" top="4884.75" width="466.5" height="46.5" align-x="24" align-y="4896" 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">Так как Z</f> <f family="Arial Cyr" charset="204" size="12"> 1,0 </f> <f family="Arial Cyr" charset="204" size="12"> неизвестно на начальном этапе и задается только как граничное условие </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 1,k </f> <f family="Arial Cyr" charset="204" size="12"> в конце траектории описывающей решение, то, используя уранение (7), для </f> <f family="Arial Cyr" charset="204" size="12">Z</f> <f family="Arial Cyr" charset="204" size="12"> 1,0 </f> <f family="Arial Cyr" charset="204" size="12">получим</f> </text> </region> <region region-id="1654" left="138" top="4958.25" width="128.25" height="38.25" align-x="171.75" align-y="4980" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="140"/> </region> <region region-id="1665" left="312" top="4963.5" width="111" height="22.5" align-x="344.25" align-y="4980" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>6138388362.3151617</ml:real> </result> </ml:eval> </math> <rendering item-idref="141"/> </region> <region region-id="1833" left="36" top="5010.75" width="433.5" height="27" align-x="36" align-y="5022" 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">Проведем визуализацию значений коэффициентов альфа и бетта, которые они</f> <f family="Arial Cyr" charset="204" size="12">принимают в конце интервала (траектории)</f> </text> </region> <region region-id="1841" left="42" top="5058" width="64.5" height="18" align-x="84" align-y="5070" 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">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0000000000908043</ml:real> </result> </ml:eval> </math> <rendering item-idref="142"/> </region> <region region-id="1840" left="120" top="5053.5" width="128.25" height="22.5" align-x="162" align-y="5070" 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">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.6129656402994195E-10</ml:real> </result> </ml:eval> </math> <rendering item-idref="143"/> </region> <region region-id="1839" left="264" top="5058" width="90.75" height="18" align-x="305.25" align-y="5070" 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">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.60393978861178022</ml:real> </result> </ml:eval> </math> <rendering item-idref="144"/> </region> <region region-id="1838" left="366" top="5058" width="97.5" height="18" align-x="407.25" align-y="5070" 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">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-0.6039397877543341</ml:real> </result> </ml:eval> </math> <rendering item-idref="145"/> </region> <region region-id="1847" left="30" top="5094.75" width="407.25" height="30" align-x="30" align-y="5106" 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">Также вычислим вектор решения {Y</f> <f family="Arial Cyr" charset="204" size="12"> 0,k </f> <f family="Arial Cyr" charset="204" size="12">}<sp count="2"/>и вектор его производной<sp count="2"/>{Y</f> <f family="Arial Cyr" charset="204" size="12"> 1,k </f> <f family="Arial Cyr" charset="204" size="12">} по </f> <f family="Arial Cyr" charset="204" size="12">уравнению (7)</f> </text> </region> <region region-id="1844" left="42" top="5142.75" width="60" height="15.75" align-x="57.75" align-y="5154" 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">KK</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="146"/> </region> <region region-id="1845" left="132" top="5142" width="136.5" height="18" align-x="165.75" align-y="5154" 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">Y</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>0</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="147"/> </region> <region region-id="1846" left="282" top="5142" width="136.5" height="18" align-x="315.75" align-y="5154" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">α</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">β</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="148"/> </region> <region region-id="1848" left="42" top="5178.75" width="246" height="13.5" align-x="42" align-y="5190" 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">с покомпонентной визуализацией их значений</f> </text> </region> <region region-id="1853" left="90" top="5203.5" width="132" height="22.5" align-x="143.25" align-y="5220" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">KK</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>9642154.9240893759</ml:real> </result> </ml:eval> </math> <rendering item-idref="149"/> </region> <region region-id="1854" left="246" top="5208.75" width="63.75" height="17.25" align-x="287.25" align-y="5220" 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">Y</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">KK</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="150"/> </region> <region region-id="1855" left="42" top="5268.75" width="175.5" height="16.5" align-x="42" align-y="5280" 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">Построим графики </f> <f family="Arial Cyr" charset="204" size="12">{Y</f> <f family="Arial Cyr" charset="204" size="12"> 0,k </f> <f family="Arial Cyr" charset="204" size="12">} и </f> <f family="Arial Cyr" charset="204" size="12">{Y</f> <f family="Arial Cyr" charset="204" size="12"> 1,k </f> <f family="Arial Cyr" charset="204" size="12">}</f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> <f family="Arial Cyr" charset="204" size="12"> <sp/> </f> </text> </region> <region region-id="1559" left="60" top="5310" width="189" height="125.25" align-x="60" align-y="5310" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="151"/> <rendering item-idref="152"/> </region> <region region-id="1858" left="66" top="5490.75" width="312.75" height="13.5" align-x="66" align-y="5502" 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">И распечатаем матрицу Y для визуализального контроля.</f> </text> </region> <region region-id="1856" left="36" top="5537.25" width="380.25" height="39.75" align-x="51.75" align-y="5556" 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">Y</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="2" cols="1001"> <ml:real>1</ml:real> <ml:real>6138388362.3151617</ml:real> <ml:real>9642154.9267866984</ml:real> <ml:real>6138380789.3820686</ml:real> <ml:real>19284285.062514644</ml:real> <ml:real>6138358070.60458</ml:real> <ml:real>28926367.616186224</ml:real> <ml:real>6138320206.0387506</ml:real> <ml:real>38568378.796921238</ml:real> <ml:real>6138267195.7780113</ml:real> <ml:real>48210294.81401559</ml:real> <ml:real>6138199039.9531584</ml:real> <ml:real>57852091.877</ml:real> <ml:real>6138115738.7323589</ml:real> <ml:real>67493746.195698649</ml:real> <ml:real>6138017292.3211489</ml:real> <ml:real>77135233.980288</ml:real> <ml:real>6137903700.9624376</ml:real> <ml:real>86776531.441355348</ml:real> <ml:real>6137774964.9364986</ml:real> <ml:real>96417614.789957672</ml:real> <ml:real>6137631084.560976</ml:real> <ml:real>106058460.23768017</ml:real> <ml:real>6137472060.1908808</ml:real> <ml:real>115699043.99669509</ml:real> <ml:real>6137297892.21859</ml:real> <ml:real>125339342.27982034</ml:real> <ml:real>6137108581.0738449</ml:real> <ml:real>134979331.30057827</ml:real> <ml:real>6136904127.2237511</ml:real> <ml:real>144618987.27325416</ml:real> <ml:real>6136684531.17278</ml:real> <ml:real>154258286.41295531</ml:real> <ml:real>6136449793.4627619</ml:real> <ml:real>163897204.93566915</ml:real> <ml:real>6136199914.6728888</ml:real> <ml:real>173535719.05832252</ml:real> <ml:real>6135934895.419713</ml:real> <ml:real>183173804.99883995</ml:real> <ml:real>6135654736.3571424</ml:real> <ml:real>192811438.97620246</ml:real> <ml:real>6135359438.1764412</ml:real> <ml:real>202448597.21050623</ml:real> <ml:real>6135049001.6062279</ml:real> <ml:real>212085255.92302141</ml:real> <ml:real>6134723427.4124756</ml:real> <ml:real>221721391.33625054</ml:real> <ml:real>6134382716.3985052</ml:real> <ml:real>231356979.67398733</ml:real> <ml:real>6134026869.4049864</ml:real> <ml:real>240991997.16137555</ml:real> <ml:real>6133655887.3099384</ml:real> <ml:real>250626420.02496725</ml:real> <ml:real>6133269771.0287209</ml:real> <ml:real>260260224.49278179</ml:real> <ml:real>6132868521.5140381</ml:real> <ml:real>269893386.79436427</ml:real> <ml:real>6132452139.7559338</ml:real> <ml:real>279525883.16084439</ml:real> <ml:real>6132020626.7817879</ml:real> <ml:real>289157689.8249948</ml:real> <ml:real>6131573983.6563158</ml:real> <ml:real>298788783.02129012</ml:real> <ml:real>6131112211.4815655</ml:real> <ml:real>308419138.98596531</ml:real> <ml:real>6130635311.3969135</ml:real> <ml:real>318048733.95707434</ml:real> <ml:real>6130143284.5790634</ml:real> <ml:real>327677544.17454892</ml:real> <ml:real>6129636132.2420416</ml:real> <ml:real>337305545.88025689</ml:real> <ml:real>6129113855.6371984</ml:real> <ml:real>346932715.31806123</ml:real> <ml:real>6128576456.0531969</ml:real> <ml:real>356559028.73387825</ml:real> <ml:real>6128023934.8160191</ml:real> <ml:real>366184462.37573671</ml:real> <ml:real>6127456293.2889547</ml:real> <ml:real>375808992.49383587</ml:real> <ml:real>6126873532.8726053</ml:real> <ml:real>385432595.34060436</ml:real> <ml:real>6126275655.00487</ml:real> <ml:real>395055247.17075896</ml:real> <ml:real>6125662661.1609564</ml:real> <ml:real>404676924.24136269</ml:real> <ml:real>6125034552.8533649</ml:real> <ml:real>414297602.811884</ml:real> <ml:real>6124391331.6318913</ml:real> <ml:real>423917259.14425474</ml:real> <ml:real>6123732999.0836182</ml:real> <ml:real>433535869.50292915</ml:real> <ml:real>6123059556.8329163</ml:real> <ml:real>443153410.15494251</ml:real> <ml:real>6122371006.5414391</ml:real> <ml:real>452769857.36996919</ml:real> <ml:real>6121667349.9081135</ml:real> <ml:real>462385187.42038161</ml:real> <ml:real>6120948588.6691437</ml:real> <ml:real>471999376.58130878</ml:real> <ml:real>6120214724.5980015</ml:real> <ml:real>481612401.13069469</ml:real> <ml:real>6119465759.5054235</ml:real> <ml:real>491224237.34935683</ml:real> <ml:real>6118701695.2394056</ml:real> <ml:real>500834861.52104491</ml:real> <ml:real>6117922533.6852016</ml:real> <ml:real>510444249.932499</ml:real> <ml:real>6117128276.7653151</ml:real> <ml:real>520052378.87350857</ml:real> <ml:real>6116318926.439496</ml:real> <ml:real>529659224.63697052</ml:real> <ml:real>6115494484.7047358</ml:real> <ml:real>539264763.518948</ml:real> <ml:real>6114654953.5952635</ml:real> <ml:real>548868971.81872857</ml:real> <ml:real>6113800335.1825361</ml:real> <ml:real>558471825.83888316</ml:real> <ml:real>6112930631.575242</ml:real> <ml:real>568073301.88532376</ml:real> <ml:real>6112045844.9192886</ml:real> <ml:real>577673376.267363</ml:real> <ml:real>6111145977.3977966</ml:real> <ml:real>587272025.29777145</ml:real> <ml:real>6110231031.231101</ml:real> <ml:real>596869225.292837</ml:real> <ml:real>6109301008.6767416</ml:real> <ml:real>606464952.57242262</ml:real> <ml:real>6108355912.0294533</ml:real> <ml:real>616059183.460025</ml:real> <ml:real>6107395743.621172</ml:real> <ml:real>625651894.28283334</ml:real> <ml:real>6106420505.8210154</ml:real> <ml:real>635243061.37178719</ml:real> <ml:real>6105430201.0352879</ml:real> <ml:real>644832661.06163538</ml:real> <ml:real>6104424831.7074661</ml:real> <ml:real>654420669.69099379</ml:real> <ml:real>6103404400.3181982</ml:real> <ml:real>664007063.60240412</ml:real> <ml:real>6102368909.3853006</ml:real> <ml:real>673591819.14239252</ml:real> <ml:real>6101318361.4637423</ml:real> <ml:real>683174912.66152763</ml:real> <ml:real>6100252759.1456442</ml:real> <ml:real>692756320.51447868</ml:real> <ml:real>6099172105.0602779</ml:real> <ml:real>702336019.06007409</ml:real> <ml:real>6098076401.8740454</ml:real> <ml:real>711913984.66136026</ml:real> <ml:real>6096965652.2904892</ml:real> <ml:real>721490193.685659</ml:real> <ml:real>6095839859.050272</ml:real> <ml:real>731064622.50462663</ml:real> <ml:real>6094699024.9311762</ml:real> <ml:real>740637247.49431181</ml:real> <ml:real>6093543152.7480984</ml:real> <ml:real>750208045.03521383</ml:real> <ml:real>6092372245.3530359</ml:real> <ml:real>759776991.51234138</ml:real> <ml:real>6091186305.635088</ml:real> <ml:real>769344063.31527007</ml:real> <ml:real>6089985336.5204439</ml:real> <ml:real>778909236.83820128</ml:real> <ml:real>6088769340.9723711</ml:real> <ml:real>788472488.48002028</ml:real> <ml:real>6087538321.9912243</ml:real> <ml:real>798033794.64435446</ml:real> <ml:real>6086292282.6144142</ml:real> <ml:real>807593131.73963094</ml:real> <ml:real>6085031225.9164248</ml:real> <ml:real>817150476.179136</ml:real> <ml:real>6083755155.0087824</ml:real> <ml:real>826705804.38107252</ml:real> <ml:real>6082464073.04007</ml:real> <ml:real>836259092.76861739</ml:real> <ml:real>6081157983.1959009</ml:real> <ml:real>845810317.7699815</ml:real> <ml:real>6079836888.6989241</ml:real> <ml:real>855359455.8184669</ml:real> <ml:real>6078500792.8088064</ml:real> <ml:real>864906483.35252452</ml:real> <ml:real>6077149698.8222332</ml:real> <ml:real>874451376.81581283</ml:real> <ml:real>6075783610.072895</ml:real> <ml:real>883994112.65725613</ml:real> <ml:real>6074402529.9314795</ml:real> <ml:real>893534667.33110237</ml:real> <ml:real>6073006461.8056641</ml:real> <ml:real>903073017.29698122</ml:real> <ml:real>6071595409.1401091</ml:real> <ml:real>912609139.01996255</ml:real> <ml:real>6070169375.4164476</ml:real> <ml:real>922143008.97061384</ml:real> <ml:real>6068728364.1532736</ml:real> <ml:real>931674603.62505865</ml:real> <ml:real>6067272378.9061394</ml:real> <ml:real>941203899.46503484</ml:real> <ml:real>6065801423.2675447</ml:real> <ml:real>950730872.97795224</ml:real> <ml:real>6064315500.8669281</ml:real> <ml:real>960255500.65695035</ml:real> <ml:real>6062814615.3706532</ml:real> <ml:real>969777759.00095773</ml:real> <ml:real>6061298770.4820061</ml:real> <ml:real>979297624.51474833</ml:real> <ml:real>6059767969.941184</ml:real> <ml:real>988815073.70900011</ml:real> <ml:real>6058222217.5252838</ml:real> <ml:real>998330083.1003536</ml:real> <ml:real>6056661517.0482969</ml:real> <ml:real>1007842629.2114687</ml:real> <ml:real>6055085872.3610964</ml:real> <ml:real>1017352688.5710836</ml:real> <ml:real>6053495287.351429</ml:real> <ml:real>1026860237.7140724</ml:real> <ml:real>6051889765.9439049</ml:real> <ml:real>1036365253.1815025</ml:real> <ml:real>6050269312.0999889</ml:real> <ml:real>1045867711.5206933</ml:real> <ml:real>6048633929.8179913</ml:real> <ml:real>1055367589.2852733</ml:real> <ml:real>6046983623.1330519</ml:real> <ml:real>1064864863.0352384</ml:real> <ml:real>6045318396.11714</ml:real> <ml:real>1074359509.3370102</ml:real> <ml:real>6043638252.8790379</ml:real> <ml:real>1083851504.7634921</ml:real> <ml:real>6041943197.564333</ml:real> <ml:real>1093340825.8941295</ml:real> <ml:real>6040233234.3554039</ml:real> <ml:real>1102827449.3149655</ml:real> <ml:real>6038508367.4714174</ml:real> <ml:real>1112311351.6187003</ml:real> <ml:real>6036768601.1683083</ml:real> <ml:real>1121792509.4047473</ml:real> <ml:real>6035013939.7387781</ml:real> <ml:real>1131270899.2792924</ml:real> <ml:real>6033244387.5122795</ml:real> <ml:real>1140746497.8553503</ml:real> <ml:real>6031459948.8550062</ml:real> <ml:real>1150219281.7528241</ml:real> <ml:real>6029660628.1698847</ml:real> <ml:real>1159689227.5985611</ml:real> <ml:real>6027846429.8965588</ml:real> <ml:real>1169156312.0264111</ml:real> <ml:real>6026017358.5113831</ml:real> <ml:real>1178620511.6772845</ml:real> <ml:real>6024173418.5274076</ml:real> <ml:real>1188081803.1992095</ml:real> <ml:real>6022314614.4943724</ml:real> <ml:real>1197540163.2473896</ml:real> <ml:real>6020440950.9986916</ml:real> <ml:real>1206995568.4842618</ml:real> <ml:real>6018552432.6634426</ml:real> <ml:real>1216447995.5795534</ml:real> <ml:real>6016649064.1483583</ml:real> <ml:real>1225897421.2103407</ml:real> <ml:real>6014730850.1498117</ml:real> <ml:real>1235343822.0611045</ml:real> <ml:real>6012797795.4008026</ml:real> <ml:real>1244787174.8237906</ml:real> <ml:real>6010849904.6709528</ml:real> <ml:real>1254227456.1978645</ml:real> <ml:real>6008887182.76649</ml:real> <ml:real>1263664642.8903704</ml:real> <ml:real>6006909634.5302334</ml:real> <ml:real>1273098711.6159878</ml:real> <ml:real>6004917264.841588</ml:real> <ml:real>1282529639.09709</ml:real> <ml:real>6002910078.6165285</ml:real> <ml:real>1291957402.0638015</ml:real> <ml:real>6000888080.8075867</ml:real> <ml:real>1301381977.2540541</ml:real> <ml:real>5998851276.403841</ml:real> <ml:real>1310803341.4136455</ml:real> <ml:real>5996799670.4309034</ml:real> <ml:real>1320221471.2962956</ml:real> <ml:real>5994733267.9509087</ml:real> <ml:real>1329636343.6637063</ml:real> <ml:real>5992652074.0625</ml:real> <ml:real>1339047935.285615</ml:real> <ml:real>5990556093.9008141</ml:real> <ml:real>1348456222.9398553</ml:real> <ml:real>5988445332.637476</ml:real> <ml:real>1357861183.4124126</ml:real> <ml:real>5986319795.4805775</ml:real> <ml:real>1367262793.4974818</ml:real> <ml:real>5984179487.6746712</ml:real> <ml:real>1376661029.9975247</ml:real> <ml:real>5982024414.5007544</ml:real> <ml:real>1386055869.7233269</ml:real> <ml:real>5979854581.2762547</ml:real> <ml:real>1395447289.4940553</ml:real> <ml:real>5977669993.3550215</ml:real> <ml:real>1404835266.1373155</ml:real> <ml:real>5975470656.127306</ml:real> <ml:real>1414219776.489208</ml:real> <ml:real>5973256575.0197573</ml:real> <ml:real>1423600797.3943865</ml:real> <ml:real>5971027755.4953976</ml:real> <ml:real>1432978305.7061145</ml:real> <ml:real>5968784203.0536184</ml:real> <ml:real>1442352278.2863228</ml:real> <ml:real>5966525923.2301626</ml:real> <ml:real>1451722692.0056655</ml:real> <ml:real>5964252921.5971107</ml:real> <ml:real>1461089523.743578</ml:real> <ml:real>5961965203.7628689</ml:real> <ml:real>1470452750.3883345</ml:real> <ml:real>5959662775.3721542</ml:real> <ml:real>1479812348.8371041</ml:real> <ml:real>5957345642.105979</ml:real> <ml:real>1489168295.9960079</ml:real> <ml:real>5955013809.6816387</ml:real> <ml:real>1498520568.7801762</ml:real> <ml:real>5952667283.8526983</ml:real> <ml:real>1507869144.1138058</ml:real> <ml:real>5950306070.4089766</ml:real> <ml:real>1517213998.9302163</ml:real> <ml:real>5947930175.1765347</ml:real> <ml:real>1526555110.1719077</ml:real> <ml:real>5945539604.0176563</ml:real> <ml:real>1535892454.790616</ml:real> <ml:real>5943134362.8308392</ml:real> <ml:real>1545226009.7473719</ml:real> <ml:real>5940714457.5507755</ml:real> <ml:real>1554555752.0125561</ml:real> <ml:real>5938279894.148344</ml:real> <ml:real>1563881658.5659576</ml:real> <ml:real>5935830678.6305847</ml:real> <ml:real>1573203706.3968287</ml:real> <ml:real>5933366817.0406933</ml:real> <ml:real>1582521872.5039427</ml:real> <ml:real>5930888315.4580059</ml:real> <ml:real>1591836133.8956518</ml:real> <ml:real>5928395179.9979763</ml:real> <ml:real>1601146467.5899415</ml:real> <ml:real>5925887416.812171</ml:real> <ml:real>1610452850.6144891</ml:real> <ml:real>5923365032.0882444</ml:real> <ml:real>1619755260.0067191</ml:real> <ml:real>5920828032.04993</ml:real> <ml:real>1629053672.8138616</ml:real> <ml:real>5918276422.9570236</ml:real> <ml:real>1638348066.0930073</ml:real> <ml:real>5915710211.1053677</ml:real> <ml:real>1647638416.9111643</ml:real> <ml:real>5913129402.8268347</ml:real> <ml:real>1656924702.3453159</ml:real> <ml:real>5910534004.4893122</ml:real> <ml:real>1666206899.4824755</ml:real> <ml:real>5907924022.496686</ml:real> <ml:real>1675484985.419745</ml:real> <ml:real>5905299463.2888308</ml:real> <ml:real>1684758937.264369</ml:real> <ml:real>5902660333.3415823</ml:real> <ml:real>1694028732.1337938</ml:real> <ml:real>5900006639.1667328</ml:real> <ml:real>1703294347.1557219</ml:real> <ml:real>5897338387.31201</ml:real> <ml:real>1712555759.4681692</ml:real> <ml:real>5894655584.3610573</ml:real> <ml:real>1721812946.2195213</ml:real> <ml:real>5891958236.9334259</ml:real> <ml:real>1731065884.5685906</ml:real> <ml:real>5889246351.6845522</ml:real> <ml:real>1740314551.6846709</ml:real> <ml:real>5886519935.3057442</ml:real> <ml:real>1749558924.7475958</ml:real> <ml:real>5883778994.5241632</ml:real> <ml:real>1758798980.947794</ml:real> <ml:real>5881023536.1028061</ml:real> <ml:real>1768034697.4863451</ml:real> <ml:real>5878253566.8404942</ml:real> <ml:real>1777266051.5750368</ml:real> <ml:real>5875469093.5718517</ml:real> <ml:real>1786493020.4364204</ml:real> <ml:real>5872670123.16729</ml:real> <ml:real>1795715581.3038678</ml:real> <ml:real>5869856662.5329885</ml:real> <ml:real>1804933711.4216266</ml:real> <ml:real>5867028718.6108828</ml:real> <ml:real>1814147388.0448766</ml:real> <ml:real>5864186298.378644</ml:real> <ml:real>1823356588.4397872</ml:real> <ml:real>5861329408.849659</ml:real> <ml:real>1832561289.8835721</ml:real> <ml:real>5858458057.0730209</ml:real> <ml:real>1841761469.6645453</ml:real> <ml:real>5855572250.1335049</ml:real> <ml:real>1850957105.0821774</ml:real> <ml:real>5852671995.1515522</ml:real> <ml:real>1860148173.4471524</ml:real> <ml:real>5849757299.2832537</ml:real> <ml:real>1869334652.0814228</ml:real> <ml:real>5846828169.7203312</ml:real> <ml:real>1878516518.3182659</ml:real> <ml:real>5843884613.6901207</ml:real> <ml:real>1887693749.5023394</ml:real> <ml:real>5840926638.4555559</ml:real> <ml:real>1896866322.9897375</ml:real> <ml:real>5837954251.3151445</ml:real> <ml:real>1906034216.1480467</ml:real> <ml:real>5834967459.6029568</ml:real> <ml:real>1915197406.3564026</ml:real> <ml:real>5831966270.6886053</ml:real> <ml:real>1924355871.0055444</ml:real> <ml:real>5828950691.9772253</ml:real> <ml:real>1933509587.4978702</ml:real> <ml:real>5825920730.9094563</ml:real> <ml:real>1942658533.2474947</ml:real> <ml:real>5822876394.9614267</ml:real> <ml:real>1951802685.6803041</ml:real> <ml:real>5819817691.6447325</ml:real> <ml:real>1960942022.2340112</ml:real> <ml:real>5816744628.5064211</ml:real> <ml:real>1970076520.3582115</ml:real> <ml:real>5813657213.1289692</ml:real> <ml:real>1979206157.5144391</ml:real> <ml:real>5810555453.1302681</ml:real> <ml:real>1988330911.1762216</ml:real> <ml:real>5807439356.1636009</ml:real> <ml:real>1997450758.8291364</ml:real> <ml:real>5804308929.9176292</ml:real> <ml:real>2006565677.9708662</ml:real> <ml:real>5801164182.1163673</ml:real> <ml:real>2015675646.1112542</ml:real> <ml:real>5798005120.5191679</ml:real> <ml:real>2024780640.7723594</ml:real> <ml:real>5794831752.920701</ml:real> <ml:real>2033880639.4885128</ml:real> <ml:real>5791644087.1509371</ml:real> <ml:real>2042975619.8063712</ml:real> <ml:real>5788442131.0751228</ml:real> <ml:real>2052065559.2849765</ml:real> <ml:real>5785225892.5937681</ml:real> <ml:real>2061150435.4958053</ml:real> <ml:real>5781995379.642622</ml:real> <ml:real>2070230226.0228293</ml:real> <ml:real>5778750600.1926517</ml:real> <ml:real>2079304908.4625676</ml:real> <ml:real>5775491562.25003</ml:real> <ml:real>2088374460.4241433</ml:real> <ml:real>5772218273.8561087</ml:real> <ml:real>2097438859.5293386</ml:real> <ml:real>5768930743.0874</ml:real> <ml:real>2106498083.4126504</ml:real> <ml:real>5765628978.055562</ml:real> <ml:real>2115552109.7213438</ml:real> <ml:real>5762312986.90737</ml:real> <ml:real>2124600916.115509</ml:real> <ml:real>5758982777.8247013</ml:real> <ml:real>2133644480.2681155</ml:real> <ml:real>5755638359.024519</ml:real> <ml:real>2142682779.8650687</ml:real> <ml:real>5752279738.7588406</ml:real> <ml:real>2151715792.6052613</ml:real> <ml:real>5748906925.31473</ml:real> <ml:real>2160743496.2006335</ml:real> <ml:real>5745519927.0142689</ml:real> <ml:real>2169765868.3762236</ml:real> <ml:real>5742118752.2145386</ml:real> <ml:real>2178782886.8702254</ml:real> <ml:real>5738703409.3075991</ml:real> <ml:real>2187794529.4340425</ml:real> <ml:real>5735273906.72047</ml:real> <ml:real>2196800773.8323417</ml:real> <ml:real>5731830252.9151087</ml:real> <ml:real>2205801597.8431106</ml:real> <ml:real>5728372456.3883867</ml:real> <ml:real>2214796979.2577114</ml:real> <ml:real>5724900525.6720762</ml:real> <ml:real>2223786895.8809342</ml:real> <ml:real>5721414469.33282</ml:real> <ml:real>2232771325.5310531</ml:real> <ml:real>5717914295.9721127</ml:real> <ml:real>2241750246.0398817</ml:real> <ml:real>5714400014.2262888</ml:real> <ml:real>2250723635.2528253</ml:real> <ml:real>5710871632.7664862</ml:real> <ml:real>2259691471.0289388</ml:real> <ml:real>5707329160.2986355</ml:real> <ml:real>2268653731.2409792</ml:real> <ml:real>5703772605.5634365</ml:real> <ml:real>2277610393.7754588</ml:real> <ml:real>5700201977.3363333</ml:real> <ml:real>2286561436.5327048</ml:real> <ml:real>5696617284.4274969</ml:real> <ml:real>2295506837.426909</ml:real> <ml:real>5693018535.6818018</ml:real> <ml:real>2304446574.3861818</ml:real> <ml:real>5689405739.9788008</ml:real> <ml:real>2313380625.3526139</ml:real> <ml:real>5685778906.232708</ml:real> <ml:real>2322308968.2823205</ml:real> <ml:real>5682138043.3923769</ml:real> <ml:real>2331231581.1455035</ml:real> <ml:real>5678483160.4412727</ml:real> <ml:real>2340148441.9265027</ml:real> <ml:real>5674814266.3974581</ml:real> <ml:real>2349059528.6238518</ml:real> <ml:real>5671131370.3135624</ml:real> <ml:real>2357964819.2503281</ml:real> <ml:real>5667434481.2767658</ml:real> <ml:real>2366864291.8330135</ml:real> <ml:real>5663723608.4087763</ml:real> <ml:real>2375757924.4133434</ml:real> <ml:real>5659998760.8658018</ml:real> <ml:real>2384645695.0471644</ml:real> <ml:real>5656259947.8385334</ml:real> <ml:real>2393527581.8047848</ml:real> <ml:real>5652507178.5521221</ml:real> <ml:real>2402403562.7710333</ml:real> <ml:real>5648740462.2661524</ml:real> <ml:real>2411273616.0453081</ml:real> <ml:real>5644959808.274622</ml:real> <ml:real>2420137719.7416353</ml:real> <ml:real>5641165225.9059181</ml:real> <ml:real>2428995851.9887195</ml:real> <ml:real>5637356724.5227985</ml:real> <ml:real>2437847990.9300003</ml:real> <ml:real>5633534313.5223579</ml:real> <ml:real>2446694114.7237053</ml:real> <ml:real>5629698002.3360176</ml:real> <ml:real>2455534201.5429025</ml:real> <ml:real>5625847800.429493</ml:real> <ml:real>2464368229.5755572</ml:real> <ml:real>5621983717.3027763</ml:real> <ml:real>2473196177.0245824</ml:real> <ml:real>5618105762.4901066</ml:real> <ml:real>2482018022.1078968</ml:real> <ml:real>5614213945.5599537</ml:real> <ml:real>2490833743.0584741</ml:real> <ml:real>5610308276.1149874</ml:real> <ml:real>2499643318.1243978</ml:real> <ml:real>5606388763.79206</ml:real> <ml:real>2508446725.5689187</ml:real> <ml:real>5602455418.2621775</ml:real> <ml:real>2517243943.6705041</ml:real> <ml:real>5598508249.2304783</ml:real> <ml:real>2526034950.7228918</ml:real> <ml:real>5594547266.4362125</ml:real> <ml:real>2534819725.0351472</ml:real> <ml:real>5590572479.652709</ml:real> <ml:real>2543598244.9317112</ml:real> <ml:real>5586583898.68736</ml:real> <ml:real>2552370488.75246</ml:real> <ml:real>5582581533.3815928</ml:real> <ml:real>2561136434.8527532</ml:real> <ml:real>5578565393.6108446</ml:real> <ml:real>2569896061.6034913</ml:real> <ml:real>5574535489.284543</ml:real> <ml:real>2578649347.3911653</ml:real> <ml:real>5570491830.3460741</ml:real> <ml:real>2587396270.6179128</ml:real> <ml:real>5566434426.7727661</ml:real> <ml:real>2596136809.70157</ml:real> <ml:real>5562363288.5758581</ml:real> <ml:real>2604870943.075726</ml:real> <ml:real>5558278425.80048</ml:real> <ml:real>2613598649.1897745</ml:real> <ml:real>5554179848.5256233</ml:real> <ml:real>2622319906.5089684</ml:real> <ml:real>5550067566.8641205</ml:real> <ml:real>2631034693.514472</ml:real> <ml:real>5545941590.9626169</ml:real> <ml:real>2639742988.7034154</ml:real> <ml:real>5541801931.00155</ml:real> <ml:real>2648444770.5889454</ml:real> <ml:real>5537648597.195117</ml:real> <ml:real>2657140017.7002807</ml:real> <ml:real>5533481599.7912588</ml:real> <ml:real>2665828708.5827622</ml:real> <ml:real>5529300949.0716248</ml:real> <ml:real>2674510821.79791</ml:real> <ml:real>5525106655.3515558</ml:real> <ml:real>2683186335.9234729</ml:real> <ml:real>5520898728.9800549</ml:real> <ml:real>2691855229.5534816</ml:real> <ml:real>5516677180.3397608</ml:real> <ml:real>2700517481.2983031</ml:real> <ml:real>5512442019.8469276</ml:real> <ml:real>2709173069.7846923</ml:real> <ml:real>5508193257.9513922</ml:real> <ml:real>2717821973.6558447</ml:real> <ml:real>5503930905.1365509</ml:real> <ml:real>2726464171.5714507</ml:real> <ml:real>5499654971.9193363</ml:real> <ml:real>2735099642.2077451</ml:real> <ml:real>5495365468.8501883</ml:real> <ml:real>2743728364.2575631</ml:real> <ml:real>5491062406.51303</ml:real> <ml:real>2752350316.4303904</ml:real> <ml:real>5486745795.525239</ml:real> <ml:real>2760965477.4524169</ml:real> <ml:real>5482415646.5376244</ml:real> <ml:real>2769573826.0665903</ml:real> <ml:real>5478071970.2343988</ml:real> <ml:real>2778175341.0326648</ml:real> <ml:real>5473714777.3331509</ml:real> <ml:real>2786770001.1272588</ml:real> <ml:real>5469344078.58482</ml:real> <ml:real>2795357785.1439013</ml:real> <ml:real>5464959884.773674</ml:real> <ml:real>2803938671.89309</ml:real> <ml:real>5460562206.7172709</ml:real> <ml:real>2812512640.2023396</ml:real> <ml:real>5456151055.266448</ml:real> <ml:real>2821079668.916235</ml:real> <ml:real>5451726441.3052816</ml:real> <ml:real>2829639736.8964853</ml:real> <ml:real>5447288375.7510681</ml:real> <ml:real>2838192823.0219736</ml:real> <ml:real>5442836869.5542917</ml:real> <ml:real>2846738906.1888094</ml:real> <ml:real>5438371933.6986</ml:real> <ml:real>2855277965.3103828</ml:real> <ml:real>5433893579.20078</ml:real> <ml:real>2863809979.3174138</ml:real> <ml:real>5429401817.1107273</ml:real> <ml:real>2872334927.1580067</ml:real> <ml:real>5424896658.5114164</ml:real> <ml:real>2880852787.7977</ml:real> <ml:real>5420378114.51888</ml:real> <ml:real>2889363540.2195182</ml:real> <ml:real>5415846196.2821751</ml:real> <ml:real>2897867163.4240265</ml:real> <ml:real>5411300914.9833593</ml:real> <ml:real>2906363636.4293804</ml:real> <ml:real>5406742281.8374624</ml:real> <ml:real>2914852938.2713766</ml:real> <ml:real>5402170308.09246</ml:real> <ml:real>2923335048.0035071</ml:real> <ml:real>5397585005.0292406</ml:real> <ml:real>2931809944.6970096</ml:real> <ml:real>5392986383.961586</ml:real> <ml:real>2940277607.4409184</ml:real> <ml:real>5388374456.2361345</ml:real> <ml:real>2948738015.3421178</ml:real> <ml:real>5383749233.23236</ml:real> <ml:real>2957191147.5253925</ml:real> <ml:real>5379110726.3625422</ml:real> <ml:real>2965636983.1334786</ml:real> <ml:real>5374458947.0717325</ml:real> <ml:real>2974075501.327117</ml:real> <ml:real>5369793906.8377371</ml:real> <ml:real>2982506681.2851019</ml:real> <ml:real>5365115617.1710758</ml:real> <ml:real>2990930502.2043362</ml:real> <ml:real>5360424089.6149654</ml:real> <ml:real>2999346943.2998786</ml:real> <ml:real>5355719335.7452841</ml:real> <ml:real>3007755983.8049965</ml:real> <ml:real>5351001367.1705437</ml:real> <ml:real>3016157602.9712191</ml:real> <ml:real>5346270195.5318623</ml:real> <ml:real>3024551780.068387</ml:real> <ml:real>5341525832.5029354</ml:real> <ml:real>3032938494.3847017</ml:real> <ml:real>5336768289.7900085</ml:real> <ml:real>3041317725.22678</ml:real> <ml:real>5331997579.1318436</ml:real> <ml:real>3049689451.9197016</ml:real> <ml:real>5327213712.2996969</ml:real> <ml:real>3058053653.8070641</ml:real> <ml:real>5322416701.0972824</ml:real> <ml:real>3066410310.2510309</ml:real> <ml:real>5317606557.3607492</ml:real> <ml:real>3074759400.6323833</ml:real> <ml:real>5312783292.9586487</ml:real> <ml:real>3083100904.3505688</ml:real> <ml:real>5307946919.7919083</ml:real> <ml:real>3091434800.8237586</ml:real> <ml:real>5303097449.7937946</ml:real> <ml:real>3099761069.4888892</ml:real> <ml:real>5298234894.9298944</ml:real> <ml:real>3108079689.8017225</ml:real> <ml:real>5293359267.1980791</ml:real> <ml:real>3116390641.2368894</ml:real> <ml:real>5288470578.6284733</ml:real> <ml:real>3124693903.2879424</ml:real> <ml:real>5283568841.2834339</ml:real> <ml:real>3132989455.4674087</ml:real> <ml:real>5278654067.2575064</ml:real> <ml:real>3141277277.3068376</ml:real> <ml:real>5273726268.67741</ml:real> <ml:real>3149557348.3568525</ml:real> <ml:real>5268785457.7019958</ml:real> <ml:real>3157829648.1872005</ml:real> <ml:real>5263831646.5222263</ml:real> <ml:real>3166094156.3868055</ml:real> <ml:real>5258864847.3611345</ml:real> <ml:real>3174350852.5638151</ml:real> <ml:real>5253885072.4738064</ml:real> <ml:real>3182599716.3456507</ml:real> <ml:real>5248892334.1473408</ml:real> <ml:real>3190840727.3790627</ml:real> <ml:real>5243886644.7008238</ml:real> <ml:real>3199073865.3301749</ml:real> <ml:real>5238868016.4852943</ml:real> <ml:real>3207299109.8845372</ml:real> <ml:real>5233836461.88372</ml:real> <ml:real>3215516440.7471766</ml:real> <ml:real>5228791993.3109636</ml:real> <ml:real>3223725837.6426458</ml:real> <ml:real>5223734623.213747</ml:real> <ml:real>3231927280.3150759</ml:real> <ml:real>5218664364.07063</ml:real> <ml:real>3240120748.52822</ml:real> <ml:real>5213581228.3919716</ml:real> <ml:real>3248306222.0655117</ml:real> <ml:real>5208485228.7199049</ml:real> <ml:real>3256483680.7301068</ml:real> <ml:real>5203376377.6283016</ml:real> <ml:real>3264653104.3449411</ml:real> <ml:real>5198254687.722744</ml:real> <ml:real>3272814472.7527719</ml:real> <ml:real>5193120171.6404943</ml:real> <ml:real>3280967765.8162346</ml:real> <ml:real>5187972842.0504589</ml:real> <ml:real>3289112963.41789</ml:real> <ml:real>5182812711.653162</ml:real> <ml:real>3297250045.4602723</ml:real> <ml:real>5177639793.1807137</ml:real> <ml:real>3305378991.865941</ml:real> <ml:real>5172454099.3967752</ml:real> <ml:real>3313499782.5775275</ml:real> <ml:real>5167255643.09653</ml:real> <ml:real>3321612397.5577888</ml:real> <ml:real>5162044437.1066532</ml:real> <ml:real>3329716816.7896538</ml:real> <ml:real>5156820494.2852764</ml:real> <ml:real>3337813020.2762733</ml:real> <ml:real>5151583827.5219593</ml:real> <ml:real>3345900988.04107</ml:real> <ml:real>5146334449.7376575</ml:real> <ml:real>3353980700.1277885</ml:real> <ml:real>5141072373.8846884</ml:real> <ml:real>3362052136.6005421</ml:real> <ml:real>5135797612.946701</ml:real> <ml:real>3370115277.5438633</ml:real> <ml:real>5130510179.9386435</ml:real> <ml:real>3378170103.0627532</ml:real> <ml:real>5125210087.9067326</ml:real> <ml:real>3386216593.2827306</ml:real> <ml:real>5119897349.9284163</ml:real> <ml:real>3394254728.3498807</ml:real> <ml:real>5114571979.1123486</ml:real> <ml:real>3402284488.4309049</ml:real> <ml:real>5109233988.5983534</ml:real> <ml:real>3410305853.7131677</ml:real> <ml:real>5103883391.55739</ml:real> <ml:real>3418318804.4047484</ml:real> <ml:real>5098520201.1915255</ml:real> <ml:real>3426323320.7344866</ml:real> <ml:real>5093144430.7338991</ml:real> <ml:real>3434319382.952035</ml:real> <ml:real>5087756093.44869</ml:real> <ml:real>3442306971.3279052</ml:real> <ml:real>5082355202.6310844</ml:real> <ml:real>3450286066.1535163</ml:real> <ml:real>5076941771.6072445</ml:real> <ml:real>3458256647.7412443</ml:real> <ml:real>5071515813.734272</ml:real> <ml:real>3466218696.4244714</ml:real> <ml:real>5066077342.400178</ml:real> <ml:real>3474172192.5576358</ml:real> <ml:real>5060626371.0238523</ml:real> <ml:real>3482117116.5162749</ml:real> <ml:real>5055162913.0550232</ml:real> <ml:real>3490053448.6970797</ml:real> <ml:real>5049686981.97423</ml:real> <ml:real>3497981169.5179391</ml:real> <ml:real>5044198591.29279</ml:real> <ml:real>3505900259.4179893</ml:real> <ml:real>5038697754.55276</ml:real> <ml:real>3513810698.8576636</ml:real> <ml:real>5033184485.3269072</ml:real> <ml:real>3521712468.3187389</ml:real> <ml:real>5027658797.2186775</ml:real> <ml:real>3529605548.3043847</ml:real> <ml:real>5022120703.8621559</ml:real> <ml:real>3537489919.3392119</ml:real> <ml:real>5016570218.9220371</ml:real> <ml:real>3545365561.9693174</ml:real> <ml:real>5011007356.0935907</ml:real> <ml:real>3553232456.7623372</ml:real> <ml:real>5005432129.1026278</ml:real> <ml:real>3561090584.3074884</ml:real> <ml:real>4999844551.7054682</ml:real> <ml:real>3568939925.2156239</ml:real> <ml:real>4994244637.6889009</ml:real> <ml:real>3576780460.1192751</ml:real> <ml:real>4988632400.8701611</ml:real> <ml:real>3584612169.6727009</ml:real> <ml:real>4983007855.0968809</ml:real> <ml:real>3592435034.5519376</ml:real> <ml:real>4977371014.2470713</ml:real> <ml:real>3600249035.4548426</ml:real> <ml:real>4971721892.2290745</ml:real> <ml:real>3608054153.1011467</ml:real> <ml:real>4966060502.98154</ml:real> <ml:real>3615850368.2324967</ml:real> <ml:real>4960386860.4733791</ml:real> <ml:real>3623637661.6125073</ml:real> <ml:real>4954700978.7037439</ml:real> <ml:real>3631416014.0268059</ml:real> <ml:real>4949002871.7019815</ml:real> <ml:real>3639185406.2830825</ml:real> <ml:real>4943292553.5276041</ml:real> <ml:real>3646945819.2111325</ml:real> <ml:real>4937570038.2702551</ml:real> <ml:real>3654697233.66291</ml:real> <ml:real>4931835340.04967</ml:real> <ml:real>3662439630.5125685</ml:real> <ml:real>4926088473.01565</ml:real> <ml:real>3670172990.6565146</ml:real> <ml:real>4920329451.3480158</ml:real> <ml:real>3677897295.0134506</ml:real> <ml:real>4914558289.2565823</ml:real> <ml:real>3685612524.5244231</ml:real> <ml:real>4908775000.9811163</ml:real> <ml:real>3693318660.1528711</ml:real> <ml:real>4902979600.7913074</ml:real> <ml:real>3701015682.8846707</ml:real> <ml:real>4897172102.9867306</ml:real> <ml:real>3708703573.7281823</ml:real> <ml:real>4891352521.8968086</ml:real> <ml:real>3716382313.7143011</ml:real> <ml:real>4885520871.8807793</ml:real> <ml:real>3724051883.8964987</ml:real> <ml:real>4879677167.3276587</ml:real> <ml:real>3731712265.3508735</ml:real> <ml:real>4873821422.656208</ml:real> <ml:real>3739363439.1761947</ml:real> <ml:real>4867953652.3148937</ml:real> <ml:real>3747005386.4939523</ml:real> <ml:real>4862073870.7818584</ml:real> <ml:real>3754638088.4484005</ml:real> <ml:real>4856182092.5648756</ml:real> <ml:real>3762261526.2066073</ml:real> <ml:real>4850278332.2013245</ml:real> <ml:real>3769875680.9584961</ml:real> <ml:real>4844362604.2581453</ml:real> <ml:real>3777480533.9168983</ml:real> <ml:real>4838434923.33181</ml:real> <ml:real>3785076066.317595</ml:real> <ml:real>4832495304.0482807</ml:real> <ml:real>3792662259.4193645</ml:real> <ml:real>4826543761.0629787</ml:real> <ml:real>3800239094.50403</ml:real> <ml:real>4820580309.0607433</ml:real> <ml:real>3807806552.8765039</ml:real> <ml:real>4814604962.7558022</ml:real> <ml:real>3815364615.8648353</ml:real> <ml:real>4808617736.8917255</ml:real> <ml:real>3822913264.8202543</ml:real> <ml:real>4802618646.2413988</ml:real> <ml:real>3830452481.1172204</ml:real> <ml:real>4796607705.6069832</ml:real> <ml:real>3837982246.1534667</ml:real> <ml:real>4790584929.8198757</ml:real> <ml:real>3845502541.3500466</ml:real> <ml:real>4784550333.7406778</ml:real> <ml:real>3853013348.1513796</ml:real> <ml:real>4778503932.2591534</ml:real> <ml:real>3860514648.0252962</ml:real> <ml:real>4772445740.2942</ml:real> <ml:real>3868006422.4630842</ml:real> <ml:real>4766375772.7938023</ml:real> <ml:real>3875488652.9795361</ml:real> <ml:real>4760294044.7350006</ml:real> <ml:real>3882961321.1129904</ml:real> <ml:real>4754200571.1238575</ml:real> <ml:real>3890424408.4253831</ml:real> <ml:real>4748095366.9954119</ml:real> <ml:real>3897877896.5022864</ml:real> <ml:real>4741978447.4136467</ml:real> <ml:real>3905321766.952961</ml:real> <ml:real>4735849827.4714556</ml:real> <ml:real>3912756001.4103951</ml:real> <ml:real>4729709522.290597</ml:real> <ml:real>3920180581.5313549</ml:real> <ml:real>4723557547.0216637</ml:real> <ml:real>3927595488.9964271</ml:real> <ml:real>4717393916.8440428</ml:real> <ml:real>3935000705.5100651</ml:real> <ml:real>4711218646.96588</ml:real> <ml:real>3942396212.800632</ml:real> <ml:real>4705031752.6240406</ml:real> <ml:real>3949781992.62045</ml:real> <ml:real>4698833249.0840693</ml:real> <ml:real>3957158026.7458405</ml:real> <ml:real>4692623151.64016</ml:real> <ml:real>3964524296.9771729</ml:real> <ml:real>4686401475.6151075</ml:real> <ml:real>3971880785.1389089</ml:real> <ml:real>4680168236.3602819</ml:real> <ml:real>3979227473.0796437</ml:real> <ml:real>4673923449.255579</ml:real> <ml:real>3986564342.6721554</ml:real> <ml:real>4667667129.7093925</ml:real> <ml:real>3993891375.813448</ml:real> <ml:real>4661399293.1585674</ml:real> <ml:real>4001208554.4247956</ml:real> <ml:real>4655119955.0683689</ml:real> <ml:real>4008515860.451787</ml:real> <ml:real>4648829130.9324379</ml:real> <ml:real>4015813275.8643708</ml:real> <ml:real>4642526836.2727585</ml:real> <ml:real>4023100782.6569009</ml:real> <ml:real>4636213086.6396151</ml:real> <ml:real>4030378362.8481779</ml:real> <ml:real>4629887897.611558</ml:real> <ml:real>4037645998.4814963</ml:real> <ml:real>4623551284.7953634</ml:real> <ml:real>4044903671.6246877</ml:real> <ml:real>4617203263.8259926</ml:real> <ml:real>4052151364.3701658</ml:real> <ml:real>4610843850.3665562</ml:real> <ml:real>4059389058.8349681</ml:real> <ml:real>4604473060.1082745</ml:real> <ml:real>4066616737.1608028</ml:real> <ml:real>4598090908.77044</ml:real> <ml:real>4073834381.5140929</ml:real> <ml:real>4591697412.1003771</ml:real> <ml:real>4081041974.086019</ml:real> <ml:real>4585292585.8734007</ml:real> <ml:real>4088239497.0925612</ml:real> <ml:real>4578876445.8927851</ml:real> <ml:real>4095426932.774549</ml:real> <ml:real>4572449007.9897175</ml:real> <ml:real>4102604263.3976974</ml:real> <ml:real>4566010288.023262</ml:real> <ml:real>4109771471.2526579</ml:real> <ml:real>4559560301.8803186</ml:real> <ml:real>4116928538.655057</ml:real> <ml:real>4553099065.4755888</ml:real> <ml:real>4124075447.9455423</ml:real> <ml:real>4546626594.7515316</ml:real> <ml:real>4131212181.4898252</ml:real> <ml:real>4540142905.6783228</ml:real> <ml:real>4138338721.6787276</ml:real> <ml:real>4533648014.2538214</ml:real> <ml:real>4145455050.9282169</ml:real> <ml:real>4527141936.5035267</ml:real> <ml:real>4152561151.67946</ml:real> <ml:real>4520624688.4805412</ml:real> <ml:real>4159657006.398859</ml:real> <ml:real>4514096286.265522</ml:real> <ml:real>4166742597.5780983</ml:real> <ml:real>4507556745.9666567</ml:real> <ml:real>4173817907.7341852</ml:real> <ml:real>4501006083.7196074</ml:real> <ml:real>4180882919.4094949</ml:real> <ml:real>4494444315.6874847</ml:real> <ml:real>4187937615.1718144</ml:real> <ml:real>4487871458.0607977</ml:real> <ml:real>4194981977.6143827</ml:real> <ml:real>4481287527.05742</ml:real> <ml:real>4202015989.355937</ml:real> <ml:real>4474692538.9225445</ml:real> <ml:real>4209039633.040751</ml:real> <ml:real>4468086509.9286518</ml:real> <ml:real>4216052891.3386831</ml:real> <ml:real>4461469456.37546</ml:real> <ml:real>4223055746.9452147</ml:real> <ml:real>4454841394.5898914</ml:real> <ml:real>4230048182.5814962</ml:real> <ml:real>4448202340.92603</ml:real> <ml:real>4237030180.9943881</ml:real> <ml:real>4441552311.7650795</ml:real> <ml:real>4244001724.9565034</ml:real> <ml:real>4434891323.5153284</ml:real> <ml:real>4250962797.2662497</ml:real> <ml:real>4428219392.6121</ml:real> <ml:real>4257913380.7478728</ml:real> <ml:real>4421536535.5177231</ml:real> <ml:real>4264853458.2515</ml:real> <ml:real>4414842768.7214813</ml:real> <ml:real>4271783012.6531796</ml:real> <ml:real>4408138108.73958</ml:real> <ml:real>4278702026.8549252</ml:real> <ml:real>4401422572.1151</ml:real> <ml:real>4285610483.7847562</ml:real> <ml:real>4394696175.4179611</ml:real> <ml:real>4292508366.3967423</ml:real> <ml:real>4387958935.2448788</ml:real> <ml:real>4299395657.6710443</ml:real> <ml:real>4381210868.2193232</ml:real> <ml:real>4306272340.6139555</ml:real> <ml:real>4374451990.99148</ml:real> <ml:real>4313138398.2579441</ml:real> <ml:real>4367682320.238204</ml:real> <ml:real>4319993813.6616945</ml:real> <ml:real>4360901872.6629868</ml:real> <ml:real>4326838569.9101524</ml:real> <ml:real>4354110664.9959087</ml:real> <ml:real>4333672650.11456</ml:real> <ml:real>4347308713.9936008</ml:real> <ml:real>4340496037.4125071</ml:real> <ml:real>4340496036.4391985</ml:real> <ml:real>4347308714.9679613</ml:real> <ml:real>4333672649.1423073</ml:real> <ml:real>4354110665.9713192</ml:real> <ml:real>4326838568.9389582</ml:real> <ml:real>4360901873.6394405</ml:real> <ml:real>4319993812.6915627</ml:real> <ml:real>4367682321.2156992</ml:real> <ml:real>4313138397.2888784</ml:real> <ml:real>4374451991.9700117</ml:real> <ml:real>4306272339.64596</ml:real> <ml:real>4381210869.19889</ml:real> <ml:real>4299395656.7041216</ml:real> <ml:real>4387958936.2254744</ml:real> <ml:real>4292508365.4308972</ml:real> <ml:real>4394696176.3995838</ml:real> <ml:real>4285610482.8199916</ml:real> <ml:real>4401422573.0977459</ml:real> <ml:real>4278702025.8912454</ml:real> <ml:real>4408138109.7232456</ml:real> <ml:real>4271783011.690588</ml:real> <ml:real>4414842769.7061634</ml:real> <ml:real>4264853457.29</ml:real> <ml:real>4421536536.503417</ml:real> <ml:real>4257913379.7874684</ml:real> <ml:real>4428219393.5988035</ml:real> <ml:real>4250962796.3069439</ml:real> <ml:real>4434891324.5030355</ml:real> <ml:real>4244001723.998301</ml:real> <ml:real>4441552312.7537889</ml:real> <ml:real>4237030180.0372925</ml:real> <ml:real>4448202341.9157362</ml:real> <ml:real>4230048181.62551</ml:real> <ml:real>4454841395.5805931</ml:real> <ml:real>4223055745.9903421</ml:real> <ml:real>4461469457.3671532</ml:real> <ml:real>4216052890.3849282</ml:real> <ml:real>4468086510.9213314</ml:real> <ml:real>4209039632.0881171</ml:real> <ml:real>4474692539.9162092</ml:real> <ml:real>4202015988.404428</ml:real> <ml:real>4481287528.0520639</ml:real> <ml:real>4194981976.6640024</ml:real> <ml:real>4487871459.0564194</ml:real> <ml:real>4187937614.2225652</ml:real> <ml:real>4494444316.68408</ml:real> <ml:real>4180882918.4613805</ml:real> <ml:real>4501006084.7171726</ml:real> <ml:real>4173817906.7872095</ml:real> <ml:real>4507556746.965188</ml:real> <ml:real>4166742596.6322656</ml:real> <ml:real>4514096287.2650175</ml:real> <ml:real>4159657005.4541736</ml:real> <ml:real>4520624689.4809952</ml:real> <ml:real>4152561150.7359252</ml:real> <ml:real>4527141937.5049372</ml:real> <ml:real>4145455049.985836</ml:real> <ml:real>4533648015.2561836</ml:real> <ml:real>4138338720.7375045</ml:real> <ml:real>4540142906.681633</ml:real> <ml:real>4131212180.5497642</ml:real> <ml:real>4546626595.7557859</ml:real> <ml:real>4124075447.0066457</ml:real> <ml:real>4553099066.4807854</ml:real> <ml:real>4116928537.717329</ml:real> <ml:real>4559560302.8864536</ml:real> <ml:real>4109771470.3161025</ml:real> <ml:real>4566010289.0303307</ml:real> <ml:real>4102604262.4623179</ml:real> <ml:real>4572449008.9977169</ml:real> <ml:real>4095426931.8403492</ml:real> <ml:real>4578876446.9017124</ml:real> <ml:real>4088239496.1595454</ml:real> <ml:real>4585292586.8832521</ml:real> <ml:real>4081041973.1541905</ml:real> <ml:real>4591697413.11115</ml:real> <ml:real>4073834380.5834556</ml:real> <ml:real>4598090909.7821312</ml:real> <ml:real>4066616736.2313595</ml:real> <ml:real>4604473061.1208792</ml:real> <ml:real>4059389057.9067235</ml:real> <ml:real>4610843851.3800716</ml:real> <ml:real>4052151363.4431229</ml:real> <ml:real>4617203264.840415</ml:real> <ml:real>4044903670.6988511</ml:real> <ml:real>4623551285.810689</ml:real> <ml:real>4037645997.556869</ml:real> <ml:real>4629887898.6277828</ml:real> <ml:real>4030378361.9247627</ml:real> <ml:real>4636213087.6567364</ml:real> <ml:real>4023100781.7347026</ml:real> <ml:real>4642526837.2907715</ml:real> <ml:real>4015813274.9433932</ml:real> <ml:real>4648829131.9513407</ml:real> <ml:real>4008515859.532033</ml:real> <ml:real>4655119956.0881577</ml:real> <ml:real>4001208553.5062695</ml:real> <ml:real>4661399294.1792393</ml:real> <ml:real>3993891374.8961534</ml:real> <ml:real>4667667130.7309427</ml:real> <ml:real>3986564341.7560968</ml:real> <ml:real>4673923450.2780046</ml:real> <ml:real>3979227472.1648235</ml:real> <ml:real>4680168237.3835793</ml:real> <ml:real>3971880784.2253318</ml:real> <ml:real>4686401476.6392736</ml:real> <ml:real>3964524296.0648437</ml:real> <ml:real>4692623152.6651907</ml:real> <ml:real>3957158025.83476</ml:real> <ml:real>4698833250.1099625</ml:real> <ml:real>3949781991.7106242</ml:real> <ml:real>4705031753.6507912</ml:real> <ml:real>3942396211.8920641</ml:real> <ml:real>4711218647.9934864</ml:real> <ml:real>3935000704.6027579</ml:real> <ml:real>4717393917.8724995</ml:real> <ml:real>3927595488.0903859</ml:real> <ml:real>4723557548.0509682</ml:real> <ml:real>3920180580.6265821</ml:real> <ml:real>4729709523.3207455</ml:real> <ml:real>3912756000.5068941</ml:real> <ml:real>4735849828.5024471</ml:real> <ml:real>3905321766.0507364</ml:real> <ml:real>4741978448.4454765</ml:real> <ml:real>3897877895.6013427</ml:real> <ml:real>4748095368.0280762</ml:real> <ml:real>3890424407.525722</ml:real> <ml:real>4754200572.1573534</ml:real> <ml:real>3882961320.2146173</ml:real> <ml:real>4760294045.7693253</ml:real> <ml:real>3875488652.0824547</ml:real> <ml:real>4766375773.82895</ml:real> <ml:real>3868006421.5672979</ml:real> <ml:real>4772445741.33017</ml:real> <ml:real>3860514647.1308088</ml:real> <ml:real>4778503933.29594</ml:real> <ml:real>3853013347.2581949</ml:real> <ml:real>4784550334.7782784</ml:real> <ml:real>3845502540.458169</ml:real> <ml:real>4790584930.8582888</ml:real> <ml:real>3837982245.2628994</ml:real> <ml:real>4796607706.646203</ml:real> <ml:real>3830452480.2279668</ml:real> <ml:real>4802618647.2814236</ml:real> <ml:real>3822913263.9323187</ml:real> <ml:real>4808617737.93255</ml:real> <ml:real>3815364614.9782209</ml:real> <ml:real>4814604963.7974253</ml:real> <ml:real>3807806551.9912157</ml:real> <ml:real>4820580310.1031609</ml:real> <ml:real>3800239093.6200709</ml:real> <ml:real>4826543762.1061859</ml:real> <ml:real>3792662258.5367389</ml:real> <ml:real>4832495305.0922766</ml:real> <ml:real>3785076065.4363055</ml:real> <ml:real>4838434924.37659</ml:real> <ml:real>3777480533.0369492</ml:real> <ml:real>4844362605.3037062</ml:real> <ml:real>3769875680.0798907</ml:real> <ml:real>4850278333.2476625</ml:real> <ml:real>3762261525.3293495</ml:real> <ml:real>4856182093.6119881</ml:real> <ml:real>3754638087.572494</ml:real> <ml:real>4862073871.8297415</ml:real> <ml:real>3747005385.6194</ml:real> <ml:real>4867953653.3635454</ml:real> <ml:real>3739363438.3030014</ml:real> <ml:real>4873821423.7056227</ml:real> <ml:real>3731712264.4790421</ml:real> <ml:real>4879677168.3778353</ml:real> <ml:real>3724051883.0260344</ml:real> <ml:real>4885520872.9317141</ml:real> <ml:real>3716382312.8452072</ml:real> <ml:real>4891352522.9484987</ml:real> <ml:real>3708703572.8604627</ml:real> <ml:real>4897172104.0391722</ml:real> <ml:real>3701015682.0183287</ml:real> <ml:real>4902979601.8444986</ml:real> <ml:real>3693318659.2879109</ml:real> <ml:real>4908775002.0350513</ml:real> <ml:real>3685612523.6608481</ml:real> <ml:real>4914558290.3112574</ml:real> <ml:real>3677897294.1512642</ml:real> <ml:real>4920329452.4034309</ml:real> <ml:real>3670172989.7957211</ml:real> <ml:real>4926088474.0718</ml:real> <ml:real>3662439629.653172</ml:real> <ml:real>4931835341.1065521</ml:real> <ml:real>3654697232.804914</ml:real> <ml:real>4937570039.3278656</ml:real> <ml:real>3646945818.3545408</ml:real> <ml:real>4943292554.5859394</ml:real> <ml:real>3639185405.4278984</ml:real> <ml:real>4949002872.7610388</ml:real> <ml:real>3631416013.1730337</ml:real> <ml:real>4954700979.76352</ml:real> <ml:real>3623637660.76015</ml:real> <ml:real>4960386861.5338707</ml:real> <ml:real>3615850367.3815584</ml:real> <ml:real>4966060504.0427427</ml:real> <ml:real>3608054152.2516313</ml:real> <ml:real>4971721893.290988</ml:real> <ml:real>3600249034.6067543</ml:real> <ml:real>4977371015.30969</ml:real> <ml:real>3592435033.70528</ml:real> <ml:real>4983007856.160202</ml:real> <ml:real>3584612168.8274779</ml:real> <ml:real>4988632401.93418</ml:real> <ml:real>3576780459.27549</ml:real> <ml:real>4994244638.7536182</ml:real> <ml:real>3568939924.3732805</ml:real> <ml:real>4999844552.7708769</ml:real> <ml:real>3561090583.4665914</ml:real> <ml:real>5005432130.1687279</ml:real> <ml:real>3553232455.9228892</ml:real> <ml:real>5011007357.1603775</ml:real> <ml:real>3545365561.1313233</ml:real> <ml:real>5016570219.9895067</ml:real> <ml:real>3537489918.5026751</ml:real> <ml:real>5022120704.9303055</ml:real> <ml:real>3529605547.4693084</ml:real> <ml:real>5027658798.2875052</ml:real> <ml:real>3521712467.4851265</ml:real> <ml:real>5033184486.396409</ml:real> <ml:real>3513810698.0255189</ml:real> <ml:real>5038697755.6229324</ml:real> <ml:real>3505900258.587317</ml:real> <ml:real>5044198592.36363</ml:real> <ml:real>3497981168.6887426</ml:real> <ml:real>5049686983.0457354</ml:real> <ml:real>3490053447.8693633</ml:real> <ml:real>5055162914.12719</ml:real> <ml:real>3482117115.6900415</ml:real> <ml:real>5060626372.0966768</ml:real> <ml:real>3474172191.7328892</ml:real> <ml:real>5066077343.4736586</ml:real> <ml:real>3466218695.6012154</ml:real> <ml:real>5071515814.808404</ml:real> <ml:real>3458256646.9194822</ml:real> <ml:real>5076941772.6820259</ml:real> <ml:real>3450286065.3332529</ml:real> <ml:real>5082355203.7065115</ml:real> <ml:real>3442306970.5091438</ml:real> <ml:real>5087756094.52476</ml:real> <ml:real>3434319382.1347814</ml:real> <ml:real>5093144431.81061</ml:real> <ml:real>3426323319.9187422</ml:real> <ml:real>5098520202.2688723</ml:real> <ml:real>3418318803.5905175</ml:real> <ml:real>5103883392.6353712</ml:real> <ml:real>3410305852.900455</ml:real> <ml:real>5109233989.6769638</ml:real> <ml:real>3402284487.6197124</ml:real> <ml:real>5114571980.1915884</ml:real> <ml:real>3394254727.5402136</ml:real> <ml:real>5119897351.00828</ml:real> <ml:real>3386216592.4745922</ml:real> <ml:real>5125210088.987216</ml:real> <ml:real>3378170102.2561474</ml:real> <ml:real>5130510181.0197468</ml:real> <ml:real>3370115276.7387934</ml:real> <ml:real>5135797614.0284195</ml:real> <ml:real>3362052135.7970128</ml:real> <ml:real>5141072374.9670181</ml:real> <ml:real>3353980699.3258033</ml:real> <ml:real>5146334450.8205957</ml:real> <ml:real>3345900987.2406325</ml:real> <ml:real>5151583828.605504</ml:real> <ml:real>3337813019.4773865</ml:real> <ml:real>5156820495.3694239</ml:real> <ml:real>3329716815.992322</ml:real> <ml:real>5162044438.1914005</ml:real> <ml:real>3321612396.7620158</ml:real> <ml:real>5167255644.1818743</ml:real> <ml:real>3313499781.7833176</ml:real> <ml:real>5172454100.4827137</ml:real> <ml:real>3305378991.0732975</ml:real> <ml:real>5177639794.2672453</ml:real> <ml:real>3297250044.6692004</ml:real> <ml:real>5182812712.7402821</ml:real> <ml:real>3289112962.6283913</ml:real> <ml:real>5187972843.1381636</ml:real> <ml:real>3280967765.0283136</ml:real> <ml:real>5193120172.72878</ml:real> <ml:real>3272814471.9664316</ml:real> <ml:real>5198254688.81161</ml:real> <ml:real>3264653103.5601854</ml:real> <ml:real>5203376378.7177429</ml:real> <ml:real>3256483679.9469404</ml:real> <ml:real>5208485229.8099184</ml:real> <ml:real>3248306221.2839379</ml:real> <ml:real>5213581229.4825563</ml:real> <ml:real>3240120747.7482433</ml:real> <ml:real>5218664365.1617813</ml:real> <ml:real>3231927279.5366983</ml:real> <ml:real>5223734624.3054628</ml:real> <ml:real>3223725836.8658738</ml:real> <ml:real>5228791994.40324</ml:real> <ml:real>3215516439.9720116</ml:real> <ml:real>5233836462.9765549</ml:real> <ml:real>3207299109.1109838</ml:real> <ml:real>5238868017.5786839</ml:real> <ml:real>3199073864.5582366</ml:real> <ml:real>5243886645.7947636</ml:real> <ml:real>3190840726.6087441</ml:real> <ml:real>5248892335.2418308</ml:real> <ml:real>3182599715.5769558</ml:real> <ml:real>5253885073.5688429</ml:real> <ml:real>3174350851.7967467</ml:real> <ml:real>5258864848.4567146</ml:real> <ml:real>3166094155.6213679</ml:real> <ml:real>5263831647.6183462</ml:real> <ml:real>3157829647.4233971</ml:real> <ml:real>5268785458.7986536</ml:real> <ml:real>3149557347.594686</ml:real> <ml:real>5273726269.7746029</ml:real> <ml:real>3141277276.5463133</ml:real> <ml:real>5278654068.3552313</ml:real> <ml:real>3132989454.70853</ml:real> <ml:real>5283568842.3816862</ml:real> <ml:real>3124693902.5307136</ml:real> <ml:real>5288470579.7272539</ml:real> <ml:real>3116390640.4813128</ml:real> <ml:real>5293359268.2973824</ml:real> <ml:real>3108079689.0478034</ml:real> <ml:real>5298234896.0297174</ml:real> <ml:real>3099761068.7366309</ml:real> <ml:real>5303097450.8941355</ml:real> <ml:real>3091434800.073164</ml:real> <ml:real>5307946920.8927622</ml:real> <ml:real>3083100903.6016431</ml:real> <ml:real>5312783294.0600157</ml:real> <ml:real>3074759399.885129</ml:real> <ml:real>5317606558.4626255</ml:real> <ml:real>3066410309.5054526</ml:real> <ml:real>5322416702.1996641</ml:real> <ml:real>3058053653.0631652</ml:real> <ml:real>5327213713.4025822</ml:real> <ml:real>3049689451.1774855</ml:real> <ml:real>5331997580.2352295</ml:real> <ml:real>3041317724.4862504</ml:real> <ml:real>5336768290.8938923</ml:real> <ml:real>3032938493.6458631</ml:real> <ml:real>5341525833.6073141</ml:real> <ml:real>3024551779.3312426</ml:real> <ml:real>5346270196.6367321</ml:real> <ml:real>3016157602.2357731</ml:real> <ml:real>5351001368.2759037</ml:real> <ml:real>3007755983.0712519</ml:real> <ml:real>5355719336.8511305</ml:real> <ml:real>2999346942.5678387</ml:real> <ml:real>5360424090.7212963</ml:real> <ml:real>2990930501.4740062</ml:real> <ml:real>5365115618.2778864</ml:real> <ml:real>2982506680.5564857</ml:real> <ml:real>5369793907.9450254</ml:real> <ml:real>2974075500.6002173</ml:real> <ml:real>5374458948.1794968</ml:real> <ml:real>2965636982.4083</ml:real> <ml:real>5379110727.4707785</ml:real> <ml:real>2957191146.8019376</ml:real> <ml:real>5383749234.3410664</ml:real> <ml:real>2948738014.6203909</ml:real> <ml:real>5388374457.3453083</ml:real> <ml:real>2940277606.7209234</ml:real> <ml:real>5392986385.0712233</ml:real> <ml:real>2931809943.97875</ml:real> <ml:real>5397585006.1393394</ml:real> <ml:real>2923335047.2869868</ml:real> <ml:real>5402170309.2030163</ml:real> <ml:real>2914852937.5565991</ml:real> <ml:real>5406742282.9484758</ml:real> <ml:real>2906363635.7163491</ml:real> <ml:real>5411300916.0948267</ml:real> <ml:real>2897867162.7127457</ml:real> <ml:real>5415846197.3940935</ml:real> <ml:real>2889363539.5099916</ml:real> <ml:real>5420378115.6312466</ml:real> <ml:real>2880852787.089931</ml:real> <ml:real>5424896659.6242285</ml:real> <ml:real>2872334926.452</ml:real> <ml:real>5429401818.2239828</ml:real> <ml:real>2863809978.6131721</ml:real> <ml:real>5433893580.314476</ml:real> <ml:real>2855277964.6079097</ml:real> <ml:real>5438371934.8127327</ml:real> <ml:real>2846738905.4881091</ml:real> <ml:real>5442836870.6688585</ml:real> <ml:real>2838192822.3230495</ml:real> <ml:real>5447288376.8660679</ml:real> <ml:real>2829639736.1993418</ml:real> <ml:real>5451726442.4207125</ml:real> <ml:real>2821079668.2208753</ml:real> <ml:real>5456151056.3823042</ml:real> <ml:real>2812512639.5087667</ml:real> <ml:real>5460562207.8335514</ml:real> <ml:real>2803938671.2013087</ml:real> <ml:real>5464959885.8903751</ml:real> <ml:real>2795357784.4539151</ml:real> <ml:real>5469344079.7019405</ml:real> <ml:real>2786770000.4390707</ml:real> <ml:real>5473714778.4506884</ml:real> <ml:real>2778175340.3462796</ml:real> <ml:real>5478071971.3523493</ml:real> <ml:real>2769573825.3820105</ml:real> <ml:real>5482415647.6559868</ml:real> <ml:real>2760965476.7696471</ml:real> <ml:real>5486745796.64401</ml:real> <ml:real>2752350315.749433</ml:real> <ml:real>5491062407.632206</ml:real> <ml:real>2743728363.578423</ml:real> <ml:real>5495365469.9697685</ml:real> <ml:real>2735099641.5304251</ml:real> <ml:real>5499654973.0393171</ml:real> <ml:real>2726464170.8959551</ml:real> <ml:real>5503930906.2569294</ml:real> <ml:real>2717821972.9821773</ml:real> <ml:real>5508193259.0721674</ml:real> <ml:real>2709173069.1128564</ml:real> <ml:real>5512442020.9680967</ml:real> <ml:real>2700517480.6283026</ml:real> <ml:real>5516677181.46132</ml:real> <ml:real>2691855228.88532</ml:real> <ml:real>5520898730.1020012</ml:real> <ml:real>2683186335.257154</ml:real> <ml:real>5525106656.4738884</ml:real> <ml:real>2674510821.1334372</ml:real> <ml:real>5529300950.19434</ml:real> <ml:real>2665828707.9201393</ml:real> <ml:real>5533481600.9143543</ml:real> <ml:real>2657140017.0395112</ml:real> <ml:real>5537648598.3185911</ml:real> <ml:real>2648444769.9300337</ml:real> <ml:real>5541801932.1254</ml:real> <ml:real>2639742988.0463648</ml:real> <ml:real>5545941592.08684</ml:real> <ml:real>2631034692.8592863</ml:real> <ml:real>5550067567.9887133</ml:real> <ml:real>2622319905.8556504</ml:real> <ml:real>5554179849.6505842</ml:real> <ml:real>2613598648.5383286</ml:real> <ml:real>5558278426.925807</ml:real> <ml:real>2604870942.426156</ml:real> <ml:real>5562363289.7015486</ml:real> <ml:real>2596136809.0538793</ml:real> <ml:real>5566434427.8988171</ml:real> <ml:real>2587396269.972105</ml:real> <ml:real>5570491831.4724836</ml:real> <ml:real>2578649346.7472448</ml:real> <ml:real>5574535490.4113073</ml:real> <ml:real>2569896060.9614606</ml:real> <ml:real>5578565394.7379618</ml:real> <ml:real>2561136434.2126164</ml:real> <ml:real>5582581534.5090618</ml:real> <ml:real>2552370488.11422</ml:real> <ml:real>5586583899.815177</ml:real> <ml:real>2543598244.2953725</ml:real> <ml:real>5590572480.7808714</ml:real> <ml:real>2534819724.400713</ml:real> <ml:real>5594547267.5647192</ml:real> <ml:real>2526034950.0903664</ml:real> <ml:real>5598508250.3593264</ml:real> <ml:real>2517243943.0398903</ml:real> <ml:real>5602455419.3913622</ml:real> <ml:real>2508446724.9402208</ml:real> <ml:real>5606388764.9215822</ml:real> <ml:real>2499643317.4976187</ml:real> <ml:real>5610308277.2448435</ml:real> <ml:real>2490833742.4336171</ml:real> <ml:real>5614213946.6901417</ml:real> <ml:real>2482018021.4849672</ml:real> <ml:real>5618105763.6206236</ml:real> <ml:real>2473196176.403583</ml:real> <ml:real>5621983718.4336195</ml:real> <ml:real>2464368228.9564905</ml:real> <ml:real>5625847801.56066</ml:real> <ml:real>2455534200.9257731</ml:real> <ml:real>5629698003.4675074</ml:real> <ml:real>2446694114.1085167</ml:real> <ml:real>5633534314.6541672</ml:real> <ml:real>2437847990.3167567</ml:real> <ml:real>5637356725.6549253</ml:real> <ml:real>2428995851.3774233</ml:real> <ml:real>5641165227.0383615</ml:real> <ml:real>2420137719.1322904</ml:real> <ml:real>5644959809.4073782</ml:real> <ml:real>2411273615.4379182</ml:real> <ml:real>5648740463.3992195</ml:real> <ml:real>2402403562.1656017</ml:real> <ml:real>5652507179.6854973</ml:real> <ml:real>2393527581.2013159</ml:real> <ml:real>5656259948.9722147</ml:real> <ml:real>2384645694.4456611</ml:real> <ml:real>5659998761.9997864</ml:real> <ml:real>2375757923.8138094</ml:real> <ml:real>5663723609.5430622</ml:real> <ml:real>2366864291.2354522</ml:real> <ml:real>5667434482.4113512</ml:real> <ml:real>2357964818.6547432</ml:real> <ml:real>5671131371.4484444</ml:real> <ml:real>2349059528.0302467</ml:real> <ml:real>5674814267.5326347</ml:real> <ml:real>2340148441.3348818</ml:real> <ml:real>5678483161.5767431</ml:real> <ml:real>2331231580.5558696</ml:real> <ml:real>5682138044.5281372</ml:real> <ml:real>2322308967.6946774</ml:real> <ml:real>5685778907.3687553</ml:real> <ml:real>2313380624.7669649</ml:real> <ml:real>5689405741.1151333</ml:real> <ml:real>2304446573.8025312</ml:real> <ml:real>5693018536.8184195</ml:real> <ml:real>2295506836.8452587</ml:real> <ml:real>5696617285.5643959</ml:real> <ml:real>2286561435.95306</ml:real> <ml:real>5700201978.4735117</ml:real> <ml:real>2277610393.1978226</ml:real> <ml:real>5703772606.7008915</ml:real> <ml:real>2268653730.6653547</ml:real> <ml:real>5707329161.436367</ml:real> <ml:real>2259691470.45533</ml:real> <ml:real>5710871633.9044895</ml:real> <ml:real>2250723634.6812348</ml:real> <ml:real>5714400015.364563</ml:real> <ml:real>2241750245.470314</ml:real> <ml:real>5717914297.1106577</ml:real> <ml:real>2232771324.9635119</ml:real> <ml:real>5721414470.47163</ml:real> <ml:real>2223786895.3154225</ml:real> <ml:real>5724900526.8111515</ml:real> <ml:real>2214796978.6942325</ml:real> <ml:real>5728372457.5277252</ml:real> <ml:real>2205801597.2816687</ml:real> <ml:real>5731830254.0547047</ml:real> <ml:real>2196800773.2729392</ml:real> <ml:real>5735273907.8603239</ml:real> <ml:real>2187794528.8766837</ml:real> <ml:real>5738703410.4477081</ml:real> <ml:real>2178782886.3149137</ml:real> <ml:real>5742118753.3549023</ml:real> <ml:real>2169765867.8229623</ml:real> <ml:real>5745519928.1548843</ml:real> <ml:real>2160743495.6494265</ml:real> <ml:real>5748906926.455596</ml:real> <ml:real>2151715792.0561118</ml:real> <ml:real>5752279739.8999538</ml:real> <ml:real>2142682779.3179798</ml:real> <ml:real>5755638360.1658773</ml:real> <ml:real>2133644479.7230914</ml:real> <ml:real>5758982778.9663038</ml:real> <ml:real>2124600915.5725522</ml:real> <ml:real>5762312988.0492134</ml:real> <ml:real>2115552109.1804588</ml:real> <ml:real>5765628979.1976442</ml:real> <ml:real>2106498082.87384</ml:real> <ml:real>5768930744.22972</ml:real> <ml:real>2097438858.9926066</ml:real> <ml:real>5772218274.9986629</ml:real> <ml:real>2088374459.8894928</ml:real> <ml:real>5775491563.3928175</ml:real> <ml:real>2079304907.9300022</ml:real> <ml:real>5778750601.33567</ml:real> <ml:real>2070230225.4923525</ml:real> <ml:real>5781995380.78587</ml:real> <ml:real>2061150434.9674206</ml:real> <ml:real>5785225893.7372437</ml:real> <ml:real>2052065558.7586873</ml:real> <ml:real>5788442132.2188234</ml:real> <ml:real>2042975619.2821813</ml:real> <ml:real>5791644088.2948608</ml:real> <ml:real>2033880638.9664249</ml:real> <ml:real>5794831754.064846</ml:real> <ml:real>2024780640.2523778</ml:real> <ml:real>5798005121.6635313</ml:real> <ml:real>2015675645.5933819</ml:real> <ml:real>5801164183.2609472</ml:real> <ml:real>2006565677.4551067</ml:real> <ml:real>5804308931.0624247</ml:real> <ml:real>1997450758.3154931</ml:real> <ml:real>5807439357.30861</ml:real> <ml:real>1988330910.6646977</ml:real> <ml:real>5810555454.2754889</ml:real> <ml:real>1979206157.0050383</ml:real> <ml:real>5813657214.2743988</ml:real> <ml:real>1970076519.8509369</ml:real> <ml:real>5816744629.65206</ml:real> <ml:real>1960942021.7288661</ml:real> <ml:real>5819817692.7905769</ml:real> <ml:real>1951802685.1772919</ml:real> <ml:real>5822876396.1074753</ml:real> <ml:real>1942658532.746619</ml:real> <ml:real>5825920732.055706</ml:real> <ml:real>1933509586.9991338</ml:real> <ml:real>5828950693.1236763</ml:real> <ml:real>1924355870.5089512</ml:real> <ml:real>5831966271.8352547</ml:real> <ml:real>1915197405.8619561</ml:real> <ml:real>5834967460.7498026</ml:real> <ml:real>1906034215.6557503</ml:real> <ml:real>5837954252.462184</ml:real> <ml:real>1896866322.499594</ml:real> <ml:real>5840926639.602788</ml:real> <ml:real>1887693749.0143526</ml:real> <ml:real>5843884614.8375444</ml:real> <ml:real>1878516517.8324392</ml:real> <ml:real>5846828170.8679438</ml:real> <ml:real>1869334651.5977593</ml:real> <ml:real>5849757300.4310532</ml:real> <ml:real>1860148172.9656558</ml:real> <ml:real>5852671996.2995367</ml:real> <ml:real>1850957104.6028507</ml:real> <ml:real>5855572251.2816734</ml:real> <ml:real>1841761469.187392</ml:real> <ml:real>5858458058.2213717</ml:real> <ml:real>1832561289.4085953</ml:real> <ml:real>5861329409.998189</ml:real> <ml:real>1823356587.9669905</ml:real> <ml:real>5864186299.5273514</ml:real> <ml:real>1814147387.5742631</ml:real> <ml:real>5867028719.7597675</ml:real> <ml:real>1804933710.9531996</ml:real> <ml:real>5869856663.6820488</ml:real> <ml:real>1795715580.8376308</ml:real> <ml:real>5872670124.3165226</ml:real> <ml:real>1786493019.9723768</ml:real> <ml:real>5875469094.7212572</ml:real> <ml:real>1777266051.1131897</ml:real> <ml:real>5878253567.9900684</ml:real> <ml:real>1768034697.0266979</ml:real> <ml:real>5881023537.2525482</ml:real> <ml:real>1758798980.4903498</ml:real> <ml:real>5883778995.6740723</ml:real> <ml:real>1749558924.2923574</ml:real> <ml:real>5886519936.4558182</ml:real> <ml:real>1740314551.2316418</ml:real> <ml:real>5889246352.8347893</ml:real> <ml:real>1731065884.117774</ml:real> <ml:real>5891958238.0838232</ml:real> <ml:real>1721812945.770921</ml:real> <ml:real>5894655585.5116138</ml:real> <ml:real>1712555759.0217879</ml:real> <ml:real>5897338388.4627237</ml:real> <ml:real>1703294346.7115636</ml:real> <ml:real>5900006640.317605</ml:real> <ml:real>1694028731.6918619</ml:real> <ml:real>5902660334.4926081</ml:real> <ml:real>1684758936.8246658</ml:real> <ml:real>5905299464.4400091</ml:real> <ml:real>1675484984.9822743</ml:real> <ml:real>5907924023.648016</ml:real> <ml:real>1666206899.0472403</ml:real> <ml:real>5910534005.6407909</ml:real> <ml:real>1656924701.9123194</ml:real> <ml:real>5913129403.9784622</ml:real> <ml:real>1647638416.48041</ml:real> <ml:real>5915710212.2571421</ml:real> <ml:real>1638348065.6644983</ml:real> <ml:real>5918276424.108943</ml:real> <ml:real>1629053672.3876016</ml:real> <ml:real>5920828033.201992</ml:real> <ml:real>1619755259.5827107</ml:real> <ml:real>5923365033.240448</ml:real> <ml:real>1610452850.1927357</ml:real> <ml:real>5925887417.9645147</ml:real> <ml:real>1601146467.1704464</ml:real> <ml:real>5928395181.15046</ml:real> <ml:real>1591836133.4784179</ml:real> <ml:real>5930888316.6106262</ml:real> <ml:real>1582521872.0889735</ml:real> <ml:real>5933366818.193449</ml:real> <ml:real>1573203705.9841268</ml:real> <ml:real>5935830679.783474</ml:real> <ml:real>1563881658.1555264</ml:real> <ml:real>5938279895.3013659</ml:real> <ml:real>1554555751.6043992</ml:real> <ml:real>5940714458.7039289</ml:real> <ml:real>1545226009.3414922</ml:real> <ml:real>5943134363.9841223</ml:real> <ml:real>1535892454.3870168</ml:real> <ml:real>5945539605.1710672</ml:real> <ml:real>1526555109.770592</ml:real> <ml:real>5947930176.3300714</ml:real> <ml:real>1517213998.5311878</ml:real> <ml:real>5950306071.5626383</ml:real> <ml:real>1507869143.717067</ml:real> <ml:real>5952667285.0064831</ml:real> <ml:real>1498520568.3857305</ml:real> <ml:real>5955013810.8355455</ml:real> <ml:real>1489168295.6038582</ml:real> <ml:real>5957345643.2600079</ml:real> <ml:real>1479812348.4472539</ml:real> <ml:real>5959662776.5263023</ml:real> <ml:real>1470452750.0007865</ml:real> <ml:real>5961965204.9171352</ml:real> <ml:real>1461089523.3583355</ml:real> <ml:real>5964252922.7514935</ml:real> <ml:real>1451722691.6227315</ml:real> <ml:real>5966525924.3846588</ml:real> <ml:real>1442352277.9057005</ml:real> <ml:real>5968784204.2082281</ml:real> <ml:real>1432978305.3278072</ml:real> <ml:real>5971027756.65012</ml:real> <ml:real>1423600797.0183969</ml:real> <ml:real>5973256576.17459</ml:real> <ml:real>1414219776.1155391</ml:real> <ml:real>5975470657.2822495</ml:real> <ml:real>1404835265.7659707</ml:real> <ml:real>5977669994.5100718</ml:real> <ml:real>1395447289.1250374</ml:real> <ml:real>5979854582.4314117</ml:real> <ml:real>1386055869.3566394</ml:real> <ml:real>5982024415.6560163</ml:real> <ml:real>1376661029.63317</ml:real> <ml:real>5984179488.8300381</ml:real> <ml:real>1367262793.1354635</ml:real> <ml:real>5986319796.6360464</ml:real> <ml:real>1357861183.0527332</ml:real> <ml:real>5988445333.793045</ml:real> <ml:real>1348456222.5825183</ml:real> <ml:real>5990556095.0564852</ml:real> <ml:real>1339047934.9306235</ml:real> <ml:real>5992652075.2182693</ml:real> <ml:real>1329636343.3110631</ml:real> <ml:real>5994733269.1067772</ml:real> <ml:real>1320221470.9460042</ml:real> <ml:real>5996799671.5868683</ml:real> <ml:real>1310803341.0657082</ml:real> <ml:real>5998851277.5599</ml:real> <ml:real>1301381976.9084742</ml:real> <ml:real>6000888081.9637394</ml:real> <ml:real>1291957401.7205825</ml:real> <ml:real>6002910079.7727737</ml:real> <ml:real>1282529638.7562344</ml:real> <ml:real>6004917265.9979239</ml:real> <ml:real>1273098711.2774983</ml:real> <ml:real>6006909635.68666</ml:real> <ml:real>1263664642.5542502</ml:real> <ml:real>6008887183.9230042</ml:real> <ml:real>1254227455.8641172</ml:real> <ml:real>6010849905.8275557</ml:real> <ml:real>1244787174.492419</ml:real> <ml:real>6012797796.5574913</ml:real> <ml:real>1235343821.7321112</ml:real> <ml:real>6014730851.3065844</ml:real> <ml:real>1225897420.8837283</ml:real> <ml:real>6016649065.3052168</ml:real> <ml:real>1216447995.2553256</ml:real> <ml:real>6018552433.8203831</ml:real> <ml:real>1206995568.162421</ml:real> <ml:real>6020440952.155714</ml:real> <ml:real>1197540162.9279389</ml:real> <ml:real>6022314615.651475</ml:real> <ml:real>1188081802.8821518</ml:real> <ml:real>6024173419.6845894</ml:real> <ml:real>1178620511.362623</ml:real> <ml:real>6026017359.668643</ml:real> <ml:real>1169156311.7141488</ml:real> <ml:real>6027846431.053896</ml:real> <ml:real>1159689227.2887003</ml:real> <ml:real>6029660629.3272991</ml:real> <ml:real>1150219281.4453681</ml:real> <ml:real>6031459950.012496</ml:real> <ml:real>1140746497.550302</ml:real> <ml:real>6033244388.6698427</ml:real> <ml:real>1131270898.9766545</ml:real> <ml:real>6035013940.8964138</ml:real> <ml:real>1121792509.1045229</ml:real> <ml:real>6036768602.3260164</ml:real> <ml:real>1112311351.3208923</ml:real> <ml:real>6038508368.6291952</ml:real> <ml:real>1102827449.0195768</ml:real> <ml:real>6040233235.5132532</ml:real> <ml:real>1093340825.6011627</ml:real> <ml:real>6041943198.7222509</ml:real> <ml:real>1083851504.4729502</ml:real> <ml:real>6043638254.0370235</ml:real> <ml:real>1074359509.0488958</ml:real> <ml:real>6045318397.27519</ml:real> <ml:real>1064864862.7495549</ml:real> <ml:real>6046983624.2911673</ml:real> <ml:real>1055367589.0020231</ml:real> <ml:real>6048633930.9761715</ml:real> <ml:real>1045867711.2398794</ml:real> <ml:real>6050269313.2582331</ml:real> <ml:real>1036365252.9031278</ml:real> <ml:real>6051889767.102212</ml:real> <ml:real>1026860237.4381394</ml:real> <ml:real>6053495288.5097971</ml:real> <ml:real>1017352688.2975954</ml:real> <ml:real>6055085873.5195246</ml:real> <ml:real>1007842628.940428</ml:real> <ml:real>6056661518.2067852</ml:real> <ml:real>998330082.831763</ml:real> <ml:real>6058222218.68383</ml:real> <ml:real>988815073.442863</ml:real> <ml:real>6059767971.0997877</ml:real> <ml:real>979297624.25106692</ml:real> <ml:real>6061298771.640667</ml:real> <ml:real>969777758.73973525</ml:real> <ml:real>6062814616.5293694</ml:real> <ml:real>960255500.39818919</ml:real> <ml:real>6064315502.0257</ml:real> <ml:real>950730872.721655</ml:real> <ml:real>6065801424.4263706</ml:real> <ml:real>941203899.21120477</ml:real> <ml:real>6067272380.0650177</ml:real> <ml:real>931674603.37369835</ml:real> <ml:real>6068728365.3122025</ml:real> <ml:real>922143008.72172606</ml:real> <ml:real>6070169376.5754271</ml:real> <ml:real>912609138.77354991</ml:real> <ml:real>6071595410.2991409</ml:real> <ml:real>903073017.05304635</ml:real> <ml:real>6073006462.9647455</ml:real> <ml:real>893534667.08964789</ml:real> <ml:real>6074402531.09061</ml:real> <ml:real>883994112.418285</ml:real> <ml:real>6075783611.2320719</ml:real> <ml:real>874451376.57932782</ml:real> <ml:real>6077149699.9814577</ml:real> <ml:real>864906483.11852813</ml:real> <ml:real>6078500793.9680758</ml:real> <ml:real>855359455.586962</ml:real> <ml:real>6079836889.8582392</ml:real> <ml:real>845810317.5409708</ml:real> <ml:real>6081157984.3552618</ml:real> <ml:real>836259092.54210329</ml:real> <ml:real>6082464074.1994743</ml:real> <ml:real>826705804.15705764</ml:real> <ml:real>6083755156.168231</ml:real> <ml:real>817150475.95762348</ml:real> <ml:real>6085031227.0759144</ml:real> <ml:real>807593131.52062285</ml:real> <ml:real>6086292283.7739477</ml:real> <ml:real>798033794.42785358</ml:real> <ml:real>6087538323.1507978</ml:real> <ml:real>788472488.26602948</ml:real> <ml:real>6088769342.1319857</ml:real> <ml:real>778909236.62672293</ml:real> <ml:real>6089985337.6800957</ml:real> <ml:real>769344063.10630691</ml:real> <ml:real>6091186306.7947779</ml:real> <ml:real>759776991.305896</ml:real> <ml:real>6092372246.512764</ml:real> <ml:real>750208044.83128893</ml:real> <ml:real>6093543153.9078636</ml:real> <ml:real>740637247.29290986</ml:real> <ml:real>6094699026.0909786</ml:real> <ml:real>731064622.30575013</ml:real> <ml:real>6095839860.2101088</ml:real> <ml:real>721490193.48931074</ml:real> <ml:real>6096965653.4503622</ml:real> <ml:real>711913984.46754277</ml:real> <ml:real>6098076403.0339518</ml:real> <ml:real>702336018.86878979</ml:real> <ml:real>6099172106.2202177</ml:real> <ml:real>692756320.3257302</ml:real> <ml:real>6100252760.3056173</ml:real> <ml:real>683174912.4753176</ml:real> <ml:real>6101318362.6237478</ml:real> <ml:real>673591818.95872343</ml:real> <ml:real>6102368910.5453386</ml:real> <ml:real>664007063.42127836</ml:real> <ml:real>6103404401.4782677</ml:real> <ml:real>654420669.51241386</ml:real> <ml:real>6104424832.8675642</ml:real> <ml:real>644832660.88560414</ml:real> <ml:real>6105430202.1954155</ml:real> <ml:real>635243061.19830692</ml:real> <ml:real>6106420506.9811735</ml:real> <ml:real>625651894.11190641</ml:real> <ml:real>6107395744.7813587</ml:real> <ml:real>616059183.29165411</ml:real> <ml:real>6108355913.1896687</ml:real> <ml:real>606464952.40661013</ml:real> <ml:real>6109301009.8369837</ml:real> <ml:real>596869225.12958539</ml:real> <ml:real>6110231032.3913717</ml:real> <ml:real>587272025.13708317</ml:real> <ml:real>6111145978.558094</ml:real> <ml:real>577673376.10924065</ml:real> <ml:real>6112045846.0796118</ml:real> <ml:real>568073301.72976959</ml:real> <ml:real>6112930632.7355919</ml:real> <ml:real>558471825.68589962</ml:real> <ml:real>6113800336.3429117</ml:real> <ml:real>548868971.66831827</ml:real> <ml:real>6114654954.7556629</ml:real> <ml:real>539264763.37111342</ml:real> <ml:real>6115494485.86516</ml:real> <ml:real>529659224.49171388</ml:real> <ml:real>6116318927.5999432</ml:real> <ml:real>520052378.73083228</ml:real> <ml:real>6117128277.925786</ml:real> <ml:real>510444249.79240555</ml:real> <ml:real>6117922534.8456955</ml:real> <ml:real>500834861.38353658</ml:real> <ml:real>6118701696.3999224</ml:real> <ml:real>491224237.21443605</ml:real> <ml:real>6119465760.6659613</ml:real> <ml:real>481612400.99836385</ml:real> <ml:real>6120214725.7585611</ml:real> <ml:real>471999376.45157027</ml:real> <ml:real>6120948589.8297243</ml:real> <ml:real>462385187.29323775</ml:real> <ml:real>6121667351.0687141</ml:real> <ml:real>452769857.24542236</ml:real> <ml:real>6122371007.7020607</ml:real> <ml:real>443153410.0329951</ml:real> <ml:real>6123059557.9935579</ml:real> <ml:real>433535869.38358349</ml:real> <ml:real>6123733000.24428</ml:real> <ml:real>423917259.027513</ml:real> <ml:real>6124391332.792572</ml:real> <ml:real>414297602.69774866</ml:real> <ml:real>6125034554.0140648</ml:real> <ml:real>404676924.12983614</ml:real> <ml:real>6125662662.3216753</ml:real> <ml:real>395055247.06184334</ml:real> <ml:real>6126275656.1656065</ml:real> <ml:real>385432595.234302</ml:real> <ml:real>6126873534.0333586</ml:real> <ml:real>375808992.39014894</ml:real> <ml:real>6127456294.449728</ml:real> <ml:real>366184462.27466756</ml:real> <ml:real>6128023935.9768095</ml:real> <ml:real>356559028.6354292</ml:real> <ml:real>6128576457.2140045</ml:real> <ml:real>346932715.22223431</ml:real> <ml:real>6129113856.7980223</ml:real> <ml:real>337305545.78705454</ml:real> <ml:real>6129636133.4028835</ml:real> <ml:real>327677544.08397335</ml:real> <ml:real>6130143285.7399206</ml:real> <ml:real>318048733.86912787</ml:real> <ml:real>6130635312.557786</ml:real> <ml:real>308419138.90065</ml:real> <ml:real>6131112212.6424551</ml:real> <ml:real>298788782.93860823</ml:real> <ml:real>6131573984.8172216</ml:real> <ml:real>289157689.74494857</ml:real> <ml:real>6132020627.942709</ml:real> <ml:real>279525883.08343589</ml:real> <ml:real>6132452140.91687</ml:real> <ml:real>269893386.71959585</ml:real> <ml:real>6132868522.67499</ml:real> <ml:real>260260224.42065552</ml:real> <ml:real>6133269772.1896868</ml:real> <ml:real>250626419.95548534</ml:real> <ml:real>6133655888.47092</ml:real> <ml:real>240991997.09454018</ml:real> <ml:real>6134026870.5659828</ml:real> <ml:real>231356979.60980064</ml:real> <ml:real>6134382717.559516</ml:real> <ml:real>221721391.27471459</ml:real> <ml:real>6134723428.5735</ml:real> <ml:real>212085255.86413834</ml:real> <ml:real>6135049002.7672672</ml:real> <ml:real>202448597.15427819</ml:real> <ml:real>6135359439.3374939</ml:real> <ml:real>192811438.92263147</ml:real> <ml:real>6135654737.5182085</ml:real> <ml:real>183173804.94792822</ml:real> <ml:real>6135934896.5807953</ml:real> <ml:real>173535719.01007214</ml:real> <ml:real>6136199915.8339844</ml:real> <ml:real>163897204.89008218</ml:real> <ml:real>6136449794.62387</ml:real> <ml:real>154258286.37003374</ml:real> <ml:real>6136684532.3339033</ml:real> <ml:real>144618987.23300016</ml:real> <ml:real>6136904128.3848877</ml:real> <ml:real>134979331.26299381</ml:real> <ml:real>6137108582.2349949</ml:real> <ml:real>125339342.24490754</ml:real> <ml:real>6137297893.379755</ml:real> <ml:real>115699043.96445595</ml:real> <ml:real>6137472061.35206</ml:real> <ml:real>106058460.20811673</ml:real> <ml:real>6137631085.7221689</ml:real> <ml:real>96417614.763071939</ml:real> <ml:real>6137774966.0977049</ml:real> <ml:real>86776531.41714935</ml:real> <ml:real>6137903702.1236572</ml:real> <ml:real>77135233.958763689</ml:real> <ml:real>6138017293.4823828</ml:real> <ml:real>67493746.176858038</ml:real> <ml:real>6138115739.8936062</ml:real> <ml:real>57852091.860845044</ml:real> <ml:real>6138199041.11442</ml:real> <ml:real>48210294.800548263</ml:real> <ml:real>6138267196.9392881</ml:real> <ml:real>38568378.786143504</ml:real> <ml:real>6138320207.20004</ml:real> <ml:real>28926367.608100023</ml:real> <ml:real>6138358071.7658825</ml:real> <ml:real>19284285.057121918</ml:real> <ml:real>6138380790.5433855</ml:real> <ml:real>9642154.9240893759</ml:real> <ml:real>6138388363.4764938</ml:real> <ml:real>1</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <table item-idref="153"/> </resultFormat> </math> <rendering item-idref="154"/> </region> <region region-id="1890" left="42" top="5616.75" width="424.5" height="27" align-x="42" align-y="5628" 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">Вывод: проведенный анализ показывает, что для указанных краевых условий дифференциальное уравнение решения не имеет.</f> </text> </region> </area> <rendering item-idref="155"/> </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">iVBORw0KGgoAAAANSUhEUgAAAXUAAAAXCAYAAAD0tt8tAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAATcSURBVHhe7ZsNsqQqDIV7Xb0g1+Nq ejN3MV5CQPmXRATazvfKmpoRIZwTj9pV77UJgiAIj0FCXRAE4UFIqAuCIDwICXVBEIQHIaEu CILwILxQ/yyv7fVKH+/1z4z6MT6L2v97G7H97/bjsy2JuvHoq+fz+7qktTqWjxnXB8mRAjpP HE3e6/an/lsX+LMNQagvqj1cTLN0boqZsA06ohmf4Mff+jaNa1EN/AZN+wX7r/S11vrl7xX/ DfQONbgPyZE0mCVB3/+t27uxP06oq5ttDazQRfRrhvmAZly2BXTwgqkHs/oBoVxfQxzqCtPI fR6U39zXDK1T+7Jvh116+FdyhOPNa0s/1zBnWumT/03dNMIvfy6BEXr/A3+C2ZnGjwahrpt4 0F6+qq8bhboi+ZbYg8fmCMUb86VSeKj+rWu1z2dkQh0KThWBxdV9RVHGFtBvdefNCI1Tc9QD Gth1cyHUS4+cH4A5B/sjvYlx66E0M9gXhzqGj+vpDDoqKnvN50o9ZzC0zoQ6nrN1TqJ3a7r6 R/CG9GV63ZtkysU3HRVjJrsZDOYpX1MLjjs/qoG1neKvfUJe06PkB9Rlm0WPq1rgSj2EZlbY MPGP+XSk9NpBoz7PwtE6M571xnyj3q3p7h/BG5b2Z+Rrj1Ou2e+duOj1ZoenUafGcICw9Go3 xvD3w9Sj5Ic+5zYWaFUbAvX14AOtcBQm0Td28k2d22M36LjD6bVWfY5c1jrjv9WcXuederfm Xv/Y3twS6kC69iDUcVD+c4kimrsgXGc2Hs6tNlwWlGPURUxDeobZwyu2oR52TW/+Ez+gWbxz aZPTVPoTAdfVPjhgW3Go7/vaA2iwjjuUOixcHWtgaJ0JdQwku7fReuM8y8eM268/5ucFIGVf Fq5/FG/MvJ5GOSh7yNSuzxmwKRITKuPW3QDOgmrJJXNdo1DXm6k4agAdUk2FN4Y18iY9HMp+ mPOeeP4aZej1IHAdMWgSN8gRMuN1PKDcUBaujjUwtE6FunlTxF4Zrbdd36nBPhhs7dHLSi09 /aN54z9UY0Cz4yFHqSGu/Ug5I2w6zOwinKeIv3DEbKGudciYFWl0gx6WCj/0zeNNVDm3hljP DownBk1wg+JNr/zYFx2r48GVUKDqWAND66B3d629fx+tdzhXUE/pHizS0z8YT6kR5wcvwjUg 8Ftmikm5Y8H0YYuHcbQF/esRfGpljkhVjlFMTENiLcGa3jl16KBqo0dMpR8Nfn7x5qsCrqsZ D765NQeHVyTMOVDHHX4opOcDzPndp/DvJWDsda3jgIV5R+qN444WCHR3Qv3+rKDszwWuo4xH jofscfjbgHmveVP3e8QOfUEoWBsTGWBo9KY+hhv0oBC+0ZDecG6oh81gHXf4oTCHjrWM1vuY E8mHOo0n+Hfdmy6hjmK7Jjr8YKgX9SACZto3MXgLSH32prmnHh7jdUQ4vTaTjrWM1tudEwh0 HxTqc/h33RtSqOungbrQ/0zBycLPyWMsFIiL67+Hn52lUNfm2nlGix1zix5knLmSAvWuh84U Op722vw61jJa7+ycuh5TBxyUG/4h/jXxxpy/TMv/zfUJzKbHt/ojOvZF9jcvtbU3CHV8QtR/ 9j+d2fT4Vn9Ex77I/uaFVnuzN3VBEARhPBLqgiAIj2Hb/gFov51KNas+YQAAAABJRU5ErkJg gg==</item> <item item-id="3">iVBORw0KGgoAAAANSUhEUgAAAFYAAAAVCAYAAADcmhk1AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEkSURBVFhH7ZfRDcMgDAWZi4GYh2lY JsO4YKAh1CVRywuK5JOQ6n5gcyZOa0iBoGJBqFgQKhaEigXRiQ3kjCEXSghk85ZMzJXWHfmw bORtPIv18VNmjdjgolAXs3FwWzMx5Pr5knwXewe5uweRSXRT1BPhJ3Cp2M2TNZZ8a1H67mGc iB0/lnUmnq0hhzFQmTAOeN/UnDLvUi28YR9jGIjdZ8XjxPKNr/nLzec8fYx7KsY3thQIbKws dkbefg8xlsUGt18KcV0obL1Y6YCDQ19GFDmIJ/OXWLGbwhrz+augL+onVGwkjYN3ERNeXInF YnmcyGL3lxdyyFe4wyWffNj+30wft7S1x/18lijHs892zF33v3C9lF9QsSBULAgVC0LFQiB6 AaFUVyocArRmAAAAAElFTkSuQmCC</item> <item item-id="4">iVBORw0KGgoAAAANSUhEUgAAAFsAAAAVCAYAAAApZJKFAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFUSURBVFhH7ZbbFYMgDECdi4Gch2lc xmFSIIIkRkULaT9yz8mH0APJ5VEmMNQw2YqYbEVMtiImWxEme4F5mmBetk9lVu9gCvPH+DaH ZcZxSjgPK3aQdudT6wBW8K6aN1DJ3jpDAj+RnSTMYbnTR59FXz24wzhY59gaMX+yyAG6s8Xk NBAERPlVoq8Q6ok7Xqu+dFL/Tnaa1wE50VLbU0g9Gjua8kg2ufdOsiz9N3EJuUIyHa6SUo++ 6MhD2fc7SxIrxSWDZeccxv0ZyjTKVn6VSLLZwr+iGiOf0lbhh9cMj4bEmmTnAdVkp3lH39nP hX9L8zWSfthQbFnpm7jmeKfyRF/BZEc0hTfLjmBi/C6lcKlncQt56o18Z+sJT/OIsrfEUA7u aNzdue1aeg/q+WTReAL2Avj3ThZagi2k3NcLPgf6bNhyRi9MtiImWxGTrYjJVgPgA4r/uPi0 Reu8AAAAAElFTkSuQmCC</item> <item item-id="5">iVBORw0KGgoAAAANSUhEUgAAABwAAAAXCAYAAAAYyi9XAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADjSURBVEhL7ZTrDcMgDISZi4GYx9Ow DMM4GGwFEG55if7pSUgoOPp8FweDl/UHHtdvgd4ZNKa/LASu2lMDdOh5n+XREdDVT3dUAAMC NLjkuG1iT/o39O5olCIFGN3a6M5C3JXKEY8l3K/tAgPY6M7iujlueAgYAO2RKDP0C1CLUkQx jTovgTzttNIZS40yugYvMa0AaQbzey/wQ5RSvOawBjNQuteW/ItUNwes31emVNc8kJylC4Qt XgHK0NB+Cvhe7uV1xxPYTPZbSw0W8fL5tgJA0YSuA8Dc/ehFcczhqC4DER9/1TkNA903ZgAA AABJRU5ErkJggg==</item> <item item-id="6">iVBORw0KGgoAAAANSUhEUgAAAHYAAAAVCAYAAACTxxrlAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAH7SURBVGhD7ZWLrcMgDEUzFwNlnkzD MhmGggnlE8cYcNUk4kpI6XuAOb42LGbqlZrGvlTT2JdqGvtSTWNfqrqxejXLshpdfotoN5ta 7J7IWKko2qzVc3Dm3EN6jdw5dj/nn409BPsqs+3pbwuqNmt9oZYz7JtR6b43lDNVHQcEgwPz IGfdWLcoBEu/SblObCiA0lgrX8WlKR1dCNA/KEYROZ6yS53GORlvrDbbN7vpN6VxY/dN2b/l 0Gl1twj2Iq/2PwnMOBsrwRmNDddfOrqT8QtjXRWXHZy+0e5/vgNOnc7p2gb+07yLQSnwxRHO LMOZGKsjOEA2GHPSoLFHJWdvLHEmSNIxV6/YHJ8Isk4b+HNDrkdVWMcKcSLRGUlA5N9EYlAb Akwxv3jLfYVfJTtWNB7GM/Gutz7+LiHGSnGejAWDhqkGOxYRDWwFSbraAzE23AoFqww/U83G WjE5c2MrVxBf8sbSZ7NAtsP1ZVKYXcjkz24WYlSFGCvFmUQ/w2v77vTpB8bC+bA5eSy04yCB tfPw+TETsVEVZqwQ5ze6vwKKw5UL2eIa6+bxYzqY/J2M62HZkSjYJ3mjga3CIsvPEBQzHkuC k1FWd9JVNVNyazhFdieNcz7MWCuoVi60gy2vuodokPN5xoI4XciZc3f1cz7U2KmaprGvlDEf WBaKrjy24gwAAAAASUVORK5CYII=</item> <item item-id="7">iVBORw0KGgoAAAANSUhEUgAAAGAAAAAXCAYAAAD0v0pBAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIySURBVGhD7ZkNrsMgCMc9Vw/keTxN L9PD8MTaTREos9rtLfslJu9DFPgDLpmDH2/lsgBbCLDmn8exQghb/vm7uSTAFhZYJiVq5tmf RL8AWwA/OUFb8PDtGnQKsEFY/ITRQ1nBLyHe9r1UAqzegXP8qsZBrP7Ft+lv7Q+RYiLLvzO2 PCj0clsXmOMfCBGAVnVOHEmYOp9RnOQ0PasvmXe+Bdb4R1IIEBMUyPWpIrhEOlB9yiKUicNE dsWxenC3jCFr/GOR3wAMnG09rIrzSsaEu2NfPKu7ipMfc5PAIsY/FkGAvcrZykvVbRkl+Qy1 hYs9UpUb7kv2hmVHid/is0hry3pVVS/FLACiz1Bs8aPC0p3cvjcIoMVv8lmAs229YuZ3RWpN iwCodhwduZUbP9M95WhBsZhRk/15Ic5raPFbfeYQbIkAWutl0kHnAqz+uYd9zFCY6p79bl4o i+AjOInf6jOHYFsJILZeTMLjA4IhIXhO7VQ7itr27ReAjhppnXEWv9lnBsn26VUKlG+9spqP ZEqXthft7MFp81MTQG9zmmhpqRjinyhA/oU4/FxlAqRLyRnFhiP5j4WtaG3nZt8MjPHPHkFW MKHiI22FVrZQ6UPuGoXRZxbBtkuAZDygKunHMq39PwWLzxKcbZ8AqX2MyqsUrc/2cXxvpo+f VzH4jP9j/W5tOwWIxC74fR8gY/2msF+AyNQE3SDwHPYqt46mSwLsl02Y0YPemP/ARQF+XAPg D+uQfCoDk0SVAAAAAElFTkSuQmCC</item> <item item-id="8">iVBORw0KGgoAAAANSUhEUgAAAkEAAAAvCAYAAADkZR6uAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAivSURBVHhe7Z1RsqsqEEXPuDKgjCcT eNPw680kg8mlQaMoICAY0LWqrLpJjDS9tdmg5+bvAwAAAHBDMEEAAABwSzBBAAAAcEswQQAA AHBLMEEAAABwSzBBAAAAcEswQQAAAHBLMEEAAABwSzBBAAAAcEswQQAtMDw/f39/9vYctp9N 70UxfJ7qO0lfgeOg5XUIaflFtHl8Xu/x5S5o2RKYIIAWGAZVGkd04X2a1+/X5zFVS/m3Kp6P qGr7/rwepmhTbEeyDUgiPi1l8Pu2mzIQouWGn2s5MzwljlgThJZ+Us1kGTBBAE1hD45vVYSX NeH9enz+Hi/rPT+m4FJsFdlm8ggro/N+W7rJ4BmvDVrO5JrJI3jaUcboqa7RtMEbLV2kmcly YIIAGkIXglB1lNlolgkyRVzPnKO/fx2Omck8Qlrq9pNGQbT8cshM5uHWUumg3ztigm6u5USW mSwDJgigFTzL7Utk8IxfwbBnnMPz/ALTLElmMgOvlkaT9Ns4aOki3Uxm4NFyeC5ucx5YCULL XDNZBkwQnM779doUlDYZPq/TrkgzI1zW80HNjGzUPkkD91Rs7aKbyhX1SjOTqURomXxLDi1t TB7SzWQqHi31ysX4ht4nxwShpZBvJsuACYJTqTv4lOesePWMVgr6cltVx7lYxLIYKHZWmHxc U69UM5lGjJaC3i96BERLJ5Wf73Jr+d9CC3uLkxMtvxwyk2XABMF5qIL17OjCnXi/nj9frpYi Ej1efplnmrvPGrm4qF7pZrIScpslWhO09KGNSmo+ipK7EnR3LZdm0N7OlBMTBCchJ3wjg08y dVcOdlGDpTWLsmZPIeZiawp1SnG5pl55ZrIGkt+8gRMtVySZyRqIHmi5z56WqXksg2WCtCsd ndh6O2/pTRKxJ3LMPtAUsmz900J1hNQBqxx6lru5Htfnvimk6wd95+tZYjeFV7+OMXRX1Cvb TJbB1tJ3PqGlzd6197trc8Y3eKOlzZ5WvjzWZWWCPMX1rKSLo481N3Iy/CBhkIcMAD3dw17T Q/wlH5S8ml62AZm2didSaDkT1rL9MQAtZ8Lx/9wEKZf2sqUyjvWsQiEJSGxLG6F2C1k9xFH3 1G8z2+l2AiOIQY+ZqWnO1sfkt1xxvJteIdDy56DlCFrOlNPS/0yQXpU57zaYGK6ctvSsoOuz IoezL+aj/MbhF0VfD7E5702fNXfTKwRa/hy0HEHLmeomSBr48zi28TNZikxydCKgz8W6xF20 oz8z398sf0asBs1Lp+EtyGgKre3bmRo5CZFwAgTjVmTdVkyM29tGpMaH2Gsjsi9JeUrQp0Vu p1cItMwHLYuClgvKaekc+c09V3egyxWb+FWYOYHO3QPuULcxGgv3n7buJ98It78FGfw/pFcl J0ESToBA3Oa1xJByUmbEvXPi72t8HHcbCX1JungT9GmR2+kVAi2PgpaFQMsF5bTcjvw6SM+t Kf3ZsmExILGBmES5kqQT6z3OXoKNCTrrtt3U3jeWSjlZM/9FgWfbPYjPLMr7qSdlfNwabbZC bexpbDiWA18bkX0Zrwvffkdic+5feQtyA71CoOUWtDxnC4KW21iXW85BFausjx0cnd4GEcH6 LLLjmuW+ZkDWgavj/R80QQqdOJ/45lhnmSAtxLLDlXIS7o18L9ZoGTZxfzlqghxxjyf6t72g fiMx+xzF2UakBknxpevzU26vVwi0LAJapoOWAcppaZkgsyLjCFAFLn84pj+fBNEsO76Hva/1 o3Ha4fo6pBKqEjl4jZJJeCgGLUbEtosjzmo5CZJ4AuzlN/mkTIx798Tf07gEvjYi+5J08Sbq 0xq30ysEWh4HLYuAlgvKaTmP/Do494rK1KEyA77rOyqxzsTYHXWuZui4w8lwGR7XFkZitOOW H9Krl5MQdl7CuOOe8eU+RGrc2xhm7L74V6yOEGojsi8R59mM3V5/3E2vEGh5DLQsB1rOlNNy HPlN4C5jYLaxsQK3fqzjLZCE2gZs3l8fXydv/P4ihq0JqYNuZ2p/2qTdijnxI9+L298b95d8 ExQfty8n83H0Zx6Nj7HXRmRfNjqHkGOm6Nkad9MrBFrmg5ZlQcuZVC3H+L5tz68j7gEt0B1f NLx+HcQ0Kgl0u9ScwVi+8+OTumpOziDfBKXELWbsvIfXU4jrS7vx1wG9rgNaXge0LE+aCVJI B6dOpHVoTpI6intZTxuI2AHZc4wfUDUn1TlmgqLjFm2LzUpKEtcX7z3uq4Je1wEtrwNaFifZ BE2d1cterl6OCVgveWl3KO/rAXdxjI2g8v29lZSYfc6kdk4qoU3nFIPrpC0Zt+zXkmaGuL6o PJyliZdRi3HbaCXLzMlmNgR61QMthWtoucB1qwctm9cywwTFUfJH465CrzkpFrcyXc8Op3Tv 17NgEcvBLnyy2rgZPHWxdc++skGvCogBWmu5GtTQ8kvbWi4Zja3TBKGl0KqWFUyQcYGt3ff7 Lb3mpHzc/RS1kRYKzvBa5WycaS0ra/EZpwG9CqNmyXZ0MniudENLQ0eDvfzvyS8xtNVXggxo WY5qK0EAbmQAL18UqqAu3Dbvv0ttXZkgibVCsUWvykjM62UCtOxLS2V0REK9qreOGS2b1xIT BNAdZiXIGjt1sW3vWQEI4Bsc0LIjhs9zvBD9JggtWwYTBNAbzsHTftYE2mZ6rstsa93QsheW P1TqNEFo2TyYIIDOcP+ZqSq2DS85g5vJDNnP3aFlF6jJiPyc1ITXBKFl02CCADpCCu36ERLD +/N6Umz7w9zatE0QWvbA/Gfh222+RtGydTBBAL0wPO3BcjUTtX8TDnpBBtO1sUXL/nCvBKFl 62CCAHpA/6ntesbJswbd43y+C3rEZ4KgbTBBAI0zPTey2RbLB9M+7ltl0AxrM+sYNNGyT1wm CC3bBxMEAAAAtwQTBAAAALcEEwQAAAC3BBMEAAAAtwQTBAAAADfk8/kHk3t/oWuyf+gAAAAA SUVORK5CYII=</item> <item item-id="9">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADfSURBVDhP7ZLRDcQgCECdy4Gch2lc xmE4EC0FsU1z1797iU208AQ14Qv8pb9nI61YUqHvhOcJ0xjl+OHjhFVaCyWeAxtC1nmDbMUN MKeM0MaccNJg5womQTahirXcIdY8I60lYbaGEI4zUqJ3MNZOUq7SthEjlTqnqValy1lu4OQM pPbIZfJmh1Qu4F5ay64bkfLxPZJyzNL2QSC9bZ/+m0ukYwATHLQvi5vW+ob6+GW4AsKLIqIn NR/7Mtw5bJ4Uc1HtJZynlTsp0dt4ItaznKzSjt15Txy3kX7HC1LED7TLM62eiHWrAAAAAElF TkSuQmCC</item> <item item-id="10" content-encoding="gzip">H4sIAAAAAAAA/+xZfWhTVxQ/774kzZcmqW39mNPXbGrrYq0yhcE6mqbRFta0tN0HDlbT+KzP NB82qabuj3U6RAZS2R8bDAb7+GMwB8O5v4ZgN5h/yNiUDRwIQxnuA2S4LQNx2O6c+z6SvKgk bWUIPel5795zT+45595zfve2dQOAgBxFdvK2BZ+uUO+o3JmKdWflBHBailxTInEhO/akYv3y iJJKily2E9meiPUO75djWVVtN5+U4dOW2ZfuSOVU8S6aDwX9huJLyDSYxqmeQ5feFQt9ols2 9d0ATOQu1xrGg9nsmDI8npVVjS5kDxSTpb3LX9xnYG3vKlWxlanUmFXsZSoOs4qzTMVlVnGX qSwxqywtU/GYVbxlKj6zSm2ZyjKzSl2ZSr1ZpaFMZblZZUWZSsMK4Gklqi/9idKL3/muvn96 1TUw0TOoOzPrAFuRTDC+jeQFnkTUn5mdndXFs4v0UNEdZKu2h4Q0Nq1dg287sgNUHJr5n/1c pAdD/ZDCTxYkCEMS32MwYYaC+1IDWI2ap/wRv2VcPq0O7yjWfe/Nl+t6Ri4JhELTbh1TemEU 5KpsFpMTmEC2aU56V/q9Ou0dhgMwjqdtFhRchySuQ0TrHazIKwlRsHg9K7FNmHlF0NshtJuA NK7DMOyv1H2Daudgn+pa0dpU17RjtH60f4QFhAFU/62g1j/p0O2CtmwJqHcPOnG8yD7uA8Ay UNe0HignAJYDP15gJfIq5EeQVyM/irwGeS3Q2gE0ItNh9Rjy48jrkNcjb0BuQm5G3oj8BHIA eRNyC/Jm5C2ab1thEZ/mSoJ6jJfQi7gzIQhCJ747MTtjWCEJrAbCBwe8gkW9Dcc7sHZCfE8Z /PHlOZxoEC4CnB/kc7ixbRXAZu8c6BncjvnxgpIMjo52RDNKLJTaI/dFR+QM+KyDSkLOSBH5 kNSfSkST4BMHJhLDqVEcCqXGxxR5jAbBZ+kZlMK57FgUs83euDk81bk52Jf3enYOBfv+WrsG 2/WeIOTD+XX5qY4hbHk9IXpNhfMbh7ryU1zSju9Xu7AR3DjUORTO00/Q4xawCgWGhJEIggCi eut20jX56C7sYvK6qHO8FR9HAiSOY+kK4MRuE3VzNNAMzHKsDdpE8KaBpnGpV+2jh4vmOKqY 5tDscDFVA87xtf9y0cSWY7X+TbxZNEvBfjOKV5NY0OYBzaqiucP9VkURLGAU+vzX+VfRCwEr R3Sq2GnGbqrjnmh23+BEWpa2t7RK4QPj0Sze7zkSGCPhHRwN9MEW2vEnIf/UZwdKsiqE+TKA n17ohyHkMDwP3apdDXsIEqmvJ+RVdOBTHHjdQWP4EL+ykOYtPkpIxWj9eEtg+EXeahFWajIX 0/XcrN0yXUcYtt7mQe9139EGRy+SrtLOD0K1aWydQ55ESCP3CDFvMxXl+BYREgnq3HVMYh/V UGsZtj50UMtBlpk6ekH43E5V8i/za+h8UsV+Bl5z9v92+u9DfyJL7f8cOuHae0q1w2OHrU7Q 1igwcVZQ5/6ZbRDmNzfTzt8+PPllyCDmt3Lcr5RWaHvAoPLzlwI571Db8z//oerzb6ZCvUqp WvsLTfOxz3jl3SQsAT3HaC9bAznQs+yGeNE23wxWrTBTJrcGdBuT7AhTbUzOzM1GIZJ6wwZZ a2puag5IUiQBfcLbttviTXgLduPnHQaiavsT8Qv7/GzfK77GgG7jNvSWraEwx/hKbUSMNbwg 7C1DmupsFOIozQYlftLIhh+E35c+mEiUeAHXrpXh2sJEEo9fcxXy+o71QUcyIlyqMefWXCMp tXE4rufWJGuH+dkoxLHEsEGSXblc7if2a01DUa1sL6uVhYlHMeK5IT57N7yhG4xXux3CBy7n uPtKbZX70hYv4M3HlrvUfImNKZfz1r1tFOIoXbO2y5vObLM2ML9Nj+dH9r2WZ9N37hPPwerj uR6ftNBtiO4vvwjBdDrTsyMUEoBu48SdckYZSUoDMUVOxuSA1J2MtSxeyx+Cazm8JhmPCH1B 9p/BJv2p36nttxO039+gcD/VSc9QNeu8/Ld5gLOk8Q0uqX9gIsP/b3DCdR9D3I/jW/R1OdJS 9DBo7ynyqBHe4I6QR09fr9Xsi0aFiHB3igQj3dWOLNJC0n8AAAD//wMAhQmbonAaAAA=</item> <item item-id="11">iVBORw0KGgoAAAANSUhEUgAAAN0AAAAtCAYAAAAqVm4DAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAV/SURBVHhe7Z2LcYMwDIaZKwMxD9Ow DMNQyQ8CRjJ+kjT83x13oQRjJP+SbGg7rACAW4HoALgZiA6Am4HoDszrOAzra1rc/rJOr2Ed hte6/QiASiC6kGVaX8NI8nMs8zpDcKAhEF3ITNlufGe7hfahOdASiC7AiGwe1+E1kdiovJy2 nAdAEyC6AwslOs5rdi43TtMKzYHWQHR7dvO3ZXqtw35ul4RfeNlvWIQBRyA6D5eULJLRy4zn dplpLlh0mWlumNsE+H0guk5AcEADousABAdiQHSN0QVH872RV0T32Dng+2H8E5Hs8ttAdA05 CW6mOZ77qDJPWGh5GI8VnV2dDFca0zYpM4nt7RTIgrTP/o7M40ja5EWcZ65yanb5ZZ6d6fyK JW9Jjg/fzcyArnUuO6m0migbUkZ8LKJdfhtRdCb6+MF42nKfXWnwAE5pK/V7heyFl3KdZVrH AtGZjOY+b5j3PFvN6TrbqZh4v0S7ZGED4ebDk4KD41+QVQXRUSfFMog73agEMgM9w9hmcHYs v9zgt465ug7ZJzs0y+cs00jXarCQkGvPu1H9V2JLDbsoxT6UmuTyX7sUH7tzMessOjJQ+OqT n6+0sQ9HnoIBYhzXc2Bxv1KFl4nLpt6xJoCRMX2U9/tlFNrzbiT/BXapg4MXlarKr2LFRMds c/I2gzzK9ZzOZYFWkYAHWGlbxjBdjfKOlrz1utTVAMihxp5309d/vmLwwfMo8GSb++lGxzL0 QnTuBpoZitsTsoi/0f0x6ea7ZzvmKLzvHtCV9iyhpu2u/vOi4482UezHbXag821I/TX3y/e/ Gyum8XBfJiI610BLxZvO6kb3kVCPiDYISIfsnDOyRYwgUVfy3US1Pcspa1v3Xz070fEe94uu 5YMm7+dd1yWcXRuGTYy8ucATBqJNlOaME6ro7CBuG5WsISJtuhvSs4s1RP/sQ9fpWF60otae VYHq0lcSPf13FB3j749vI1l0sQzncd/Z2hP3M0VnnamfVMrlIGHDUXbVjXOH6LgP+fd+GrAN tg0/EALD1NuzhpK27xWd7yPbaLoSnc9WKcE2SXS6bc6icxc/GYYa8s+nrLM149kbFY9dlkPj Oo7Utmod6zTpcKvykttJ/OrnqbZnOXLbEd8bdP/VI4mO8AErcl0znnM61VR0voPht83PXfTn z+74TEYX7au+T8hG184ZrbO4fRdt7HMse9hg+hGL7HWw8fUB841U2rOUWNuxd0m7+o9soWUp E5wait3cRxPR2Sh0yA77bTPuLk174wfE3ifkTLI/x2fNt9B9SXCOmNkRKQfub6+2O1Jjz1xS 2o75/tJ/brDGS+YzW7/cJl2Cv6NdOjz/tB1OPOqE/6SH7bO0LwdEcU4X4xAtyUjnV6LIEdH3 CSPROQqf94EoKUGDKjZ27qXUnj2I+T7Dfz/+mxcForvIdC5aRaOq+U7OQGGH6em6Do7WeYNW LatzyLZBhJZt1aD6PtV/9nv/seLIIVt0xrDOKNLgs5mQBrI0qT2QGvkyImQBuQsnthQpKX+C c0wJ1jKQ9LVTCrLvP9+vbyNfdIRfKXzX8e/o1OZ9wnu4rOXVrcEgai66z/OffP9JikQXcig5 /wtu0BdtOfM/jW8pCcHtNBEd0HBzFNpOQQmieywQXXd4oUYoR43oMNd5IhBdb3YLT0coC7Yo U8G/A6IzXK+2+kWX6KMQAT5PPgeieyoQXQoXj0l0Ys8A6Rj+O8kjgegIs8QdyTqH1VnphQAV 94wKf9sS7IDoGBJS7JHH9atvCv6xhNT4Dz6nA2lAdIR9qMuloHsO5zeX/cozHQBnIDouAY2i dNGVz+kAOAPRuTLvKnuFr74BUApEB8DNQHQA3AxEB8CtrOsfDjXdWF5NvG0AAAAASUVORK5C YII=</item> <item item-id="12" content-encoding="gzip">H4sIAAAAAAAA/+xYb2xTVRQ/7962W/9Au7KNP/LnMQUZG9ui7IOJ03VdYSQwljHiAiGlWx+s 0K6s66QFEwETYwzJiB+IRmNATDQxMeJnYtAYTXSZfjB+MSESJVH8YrRolLh5zr3vvbavQ1s2 4p/sbOfd++79vfu7f84592weAFBQI6guUbfh0x3cHde6k8M70loChCxFrSpqcaM6o8nhfu1w LDnKRdt21OrE8O6hI9pwWsIOikEZPh3jI8e6khnZvI/Gw4Z+E7gftQ1VxQkEcEo7bfl3IVWy qAfGxZT9JnkgnU7FhibSmkT0oHqhUGydPQ2F7wzsnT3FEEcJpMoKqS6BOK0QVwnEbYV4SiBL rJClJRCvFeIrgdRYIf4SyDIrpLYEUmeF1JdAllshK0og9StAmJVNFsYTWz//rObri5dXXQeL PAYcZmad4ChoU8yvUXwgjIjeZ2ZnZ43m2UX5T8kfqHb9DMk6HHqdnLsa1QkyDs38w/NclHsj /ZDEnzSoEIJRLFOQtYaCv5R6sJs+T/bDp5lovyq7txViT/3aeGDHL9MK3U2dHiOm7IY4aBVx FooLmELcNCaV5X5Xq5chGIMJvG3TEMN9GMV96NXfnixrVipGwcL9LIebYqbKjHoQeRNwDPdh CI6UO31T/HfBT34d0+vk1zQV2j86P4oFFAPI/zeC9H/CUHZBR7YEZO5BN44PtUbMAWAZyD2t A7IJgOUgrhdYiboK9T7U1ahrUNeirqM9QF2PSpfV/agPoG5A3YT6oM7biOVm1CbUZtQtqC2o rSCzkcW4ND9R5DVeJIN4MkEIQDeW3Widw+ghCfQGig9OOIlO3Y79Xeg7QXGmDHLv23CU17/z i+/PwqfwFNbtCthZ955dA+1oH0/ERgPxeFdkPDYcTEa1vshhbRxq7AOxhDau9mrH1f5kIjIK NXxPNjGUjGNXMDmRimkp6oQa264BNZRJpyJobdXrW0OT3a2BvpzPuz0c6Ptp3Vqs13kDkAvl NuQmu8JY83mDVEyGcpvDPblJ0dKJ5dM9WAlsDneHQzn6DXg9CnqhwlBwJYqiAJdZt4vS5GdO 4Csar1u8xPBxpplqR9F1FXAx27Md0MEp+RaAKKJXE1rR8WCME6VHZo5ucHHgXH6+r4DsubYS MjizSY6CtUba9/P76XEACueIvWJSOh22e5T8IMQtRqKBT6tIOzPLXTJ2WmM3+fGuSHpkIHtM U9tb2tTQ2EQkjfm9iARmT2ibiAZGZwud+FbIPfLuWKFRMWcgFYvE1WA2NaU38apH6wQv5DNT ejcM8nHcqrPY8Uk19WEk4pqNkEtEEkqRitGKRE1h+KGotSgr9TY3M3AeptourKQYtdHhxRMg FsBITxHsKtbfQD2In33M5d9RhPKYK6QdoZj5O5NxjohpvlsUOXot62Qvcqotw9prdqo5iZvJ Xs5bFfKT26xBj8/nZBrNwGe1/8HLPx+PoKqdt45fdB8akzyK2PGHXGLXKBK2Nb+305GBK4pk uMC+rJYMp2YqY2D6/duHN78G4xhT20RcLVdW6GfAoPz7l5bhccr6/O9/qPj+mykTV65Uyr/Q Mh9+w8KY8MAf8SzphpeWRi2bGpvVPuUwPw8HYQ4Lm6rEhiUDszB88+0N9RX4CN5E05bW/AKf 9kiusOkvwpzL5sqvxmly0QhHs126xzDlus3qk5Vx5NdTzBHLGl7J+XWYH0d+HV6Tg8aOHUWB c/ChI+ystRt8Kt9ov9drGuRx90KtyWVyUPTIZJhisLyt3OJWa1uYlUQzhpVdYDtLLPpuV+I3 OShvPrEvgzICPY5r7GTVF3gnvMoM1in+zoKtrHj/opmrpgcN8mslpwQyRfHp+RW85Ha54l/5 K/SgjoxxRi+zm/Y5IkIRx1tu1+07c9xpJd//Nm3Ln9IhVhwvOi5dalrj62QfmHvayG/ai0f4 4TaNQHkC3eQ+Ztzke/fa2L8rK8Uk7GHMnU9vpUe7TeRk+czNrUBRrhltuGRkeEZ1TlwTNOH7 CPy9LGbFc2XF9/pU8jmm/jeYECPHNMTwROllPv0f7lcIMYUn07AnOy7++08eRZnQenheDEVj Xrnh17/npifzO9hAb6B3Rxmmsij/Q/kTAAD//wMA/DFbXHAaAAA=</item> <item item-id="13">iVBORw0KGgoAAAANSUhEUgAAAREAAAAsCAYAAABCB4xJAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAY/SURBVHhe7Z2JtaQgEEU7nImhAzKP ycBoTKaDcapYFJClFFxw3j2HmW6bz1JQjwL9/T8zAABUABEBAFQBEQEAVAERAQBU8VIR+c3j MNK/AICzQSQCAKjilSIyDZ/580UkAsAV9C8i0zB/PoFo0LVhMq8BAKfyikjkN37n77jGHdMw zNAQAK7hBSLym8fvd141ZJoHhCEAXMYLRIREI9jK8PbGjUwAAOfRpYiog1N7DsKigcgDgNvo TEQo6mDxsKLxG+cvvYeGAHAfHYkIn304AqLga0cPUY0gBalXQVqiMzdBXcEF9CMi6qwjEIyq rczbD2BxwAyuoRsRUSut6xTVWxmICAAt6FNEWEBoGzPwVoZej4d8BSICQAv62c6YyEPt9dUt XXKS5fURZE4WPWtYUquH2rgvkrKk+RiICKjF+Bil3CMTHR2stkbiZJQnIlJaWNwH3CqInfXk UGIqqRsicgb8dPSZB9Znl7+f8GHOLf+xiPyd//z5a14niGyV1CCTMrcZZ1b6A9GMEpLSzwn6 B8TYcT/Lwc8uf4vwzibPtUK0DxHZg9lStXoaliOao2WVVyyISAvsdvasJ6DPLj+NTER4npXa FoiIeRaDFXFJjcL2x7HXycz+sNlKweUlbGse3fdsb6/ZVaEYjTxMRIwA+3PLRnTGtpvk2sef m8mJLbFdkbWuXcMtrvtA+U365SITERY53cZ0m30R+U3z5LRmLaAeq7jJ1KoiMXuczBjw0GAl UBMgP4g22ohHHdrx0mZ7YiQStJmEZVg9wjl/CvvG9necxwhSuu8l2xVYHPbY/C/WXVF+Vb88 JCLC48B5VvtzvaGAJ7czLQXkmcidTAtgWbX3oCZBqczs9kk7WjrU7EBEPDIi4jidm7JhdtZ2 cuzit6ucHXXvLr+iX7sXcrY7XZsGK+CBmBuiIvIEAYl2skFakTmZdvat4WoRiYgatIzTUX/S k6kzEWHnWD6IiMjuKDBnu/3o8ZI67/665eW36heXk59/SgcG5wu+eIwi47ARkbSAUKWbLz/W HZIYdrcKno7AycwKuOkfGXMNw/ltagJk7KPKzg/ib6QBpFUgbpuMQyo6ExGyx2qniIjsjATj tpPP1xRqrNNGV+THLU+p/Hb94p/J2ZTHgLcuaw5uW6wOT0Q2AjJRKGNeJpnG5qt0W8hY0W9+ LziZCRs3A6quB/tzk2cN+xyS9tGDlLSddSpH/XkCefVmHasvEfG/jS7Mp53Ei0Y80QnI2e7s +Voatxqa9qsgIk4dGjtfp3kMKlpExK6mXnJGW0USXqEaNfjUuTNC/nPJOZmexBt72OTYge22 mCkysXP2YZuG+ZdxWAo1DkTX3LylFesyEVFixu3LCRqx5OMU2ELZx362Jt82wZhE+i6xnWS+ Rn3BTQfrtuwtv1W/fPIiwnV67c6Mc/RMJAo1cGs7agiFOxNFLE8lJX6tnCyMDtxtTtk+Vt3N WzH8cwWnvToSObrCq8kZ78smMq7m+fP1GPf2SywifrhpMOoUKu2jiIofQ47YYIayYi/FUF0x 9c7aR+XZIyR6RS43vU3/yuj2xFZnERvhdaDPnC15PT3M1yPc3C+hiMQnpF6FSQWv/mtzKmxL RRg+UfFTNHIyHkBTTngmIrcPO2IpsmCk+ZhG/XsRt83Xk7m7XzIRMU5rlU5tEWiCWge1769k s2eLknOkdk6m+v8w+4T9W9qgxjItRNJ8PXLveJzH3f2Sn4k4eCH8LZDqFn6zUBGIn895K/X9 9mG2/ZtYeAUNk+YDgDkkIvdDDiLYyuQ5T0SewbZ/6yEwizCtWrwltMm742TzMS1sDd5MNyKi QjU72TnCYAcxkYZ3W8teK058cg7rQE7qVVcW+7jJ68ykojd9KScibj6G8jY93QRvowMRMc5u Z7U5iXb9g7cP/Ln9HwQom/G+WdsyeZYUy0fXxkm/h2lBjIeLiFkxvdnL14IDPyMs5YNWsBcl zC87YAVtebaIxO4Q2K2MhxYbrJStIbvybUO2Oc5FQIJHi8jmllVkK8PwQeDRX3gCANTRj4iw gNA2ZvNnImiVtHv35r/wBAAo8uztjIk81rsH5pCVXvOzDP4dCHN+QtdwNgLAdTz8YBUA8HQg IgCAKiAiAIAK5vkfvw6FaTTS/iMAAAAASUVORK5CYII=</item> <item item-id="14">iVBORw0KGgoAAAANSUhEUgAAAc4AAAAvCAYAAABqiSojAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAdaSURBVHhe7Z3tkaM6EEUnLgfkeEjg peFfLxMH41VLYBDoq0FgAedUUbWzC6bVF/q2BOv5+wAAAEAxGCcAAIACjBMAAEABxgkAAKAA 4wQAAFCAcQIAACjAOAEAABRgnAAAAAowTgAAAAUYJ0ALvJ6fv78/f3u+lv82/F0Rr8/THKM6 BLaT0vKLaPP4dO/+xyxo2RIYJ0ALvF6mNPbYwvvsfzYF81stNcXz/ekermhTbHtWNyBKolqO vJ4SR6lxouWCo7SMgHECNMXMHN9vUzZHpOCW1wlXcCm2hnf3eQyJkD+bHD/Kp3sriTQ6pug/ jbnqZpxoObK2mawHxgnQEHYmEqkC7+6h7K6nxdYVGNuhPzrPjO/A2xjVdMw2lzvnIazlUPS3 GOe9tdzWTNYB4wRohciy3lA09ctS/izl9dQU6osjud7TdKJLtJMl+A0zTrR06JvJOmCccDjv rguYQ4u8Pt1h1cnNIqY14GVmSR7qJcah2PpFV8sV9ZKCu99SbURLu0Tb/4XdZ41xoqXD5YFn nHAL9i1Y9TkqXts5SxGYboGCoOuwJ8UlOJPNc029jGntONsMa/nfRAt/K5MTLYMc9rzaB+OE 4zAX+fNEN+7Au3u2sywmS4BK45TdU89Oo1xUr3G59JesX6pFSx/bqGjzsRGMEw5CbvwWCtYa 9p2hlCM5XPtcbLl8mOaaekmRPbjGRlhvnGg5Q9VM1sEzTtvJ2KWA5XbcVFguipzIJftAU8iS ShsVawVaw6qHv+wXi8EV0vnLLuP9LMe5wmt/LmkCrqiXKbBeHfOeOR6NaBbSEy19cvfeb+7N mXHOzagX8aikS+dQaohyMag6NvglZ3u+MucM8dd88eNqevkNyLC123yj5Uhay994wMQ4jXN3 vlSuyznq4loxi7Tm2e7Fvx/SZZ1p3K5DPm3TK0hTV9LdW47Wx+W3XnG8m14p0PLnNKhl/Bmn nf0dt0QrJr3mXLb7OPVVsYajb+atxJalToRmNeR0+sy5m14p0PLnNKhlxDjlBGa2GXP5Vcuk btk37HEhcfsYvtNxd/xial4w6xyn9ektSd9IeNt0MNVzkkJxAaTinv6bKghl3NHcFGq8idw5 Csei0lehT4vcTq8UaLme62oZdAu3hhwJ9FtsNQMZExhMUqKjsLH0Bh5+jTyffBdvfkuS+uLm PXKSRHEBxOKWi3E4sb0wS2f8K+LOXPh5jbcTPodiLKqbV6FPi9xOrxRouZUrarl0CxtkroiK WWkH4hIVSpJNbHTWmEuwM86jlpSH8y1jqZuTOak3nu2W/RA/7m3f3Vket8Uadio3OY0d23IQ O0fhWPr7IrbfltiC+++8JbmBXinQcskdtUwxy3o/wGwB3WoSrojbwM25/k8apyHZcbjPOvJZ bDjZdXOS/hg5Ttc5xePukRtslXEG4u4v9O/5kvr1lOyzleA5CjVQxafX56fcXq8UaFmFi2np Gaeb+QUCNIH7L9zKILUDmSbJfML0S4qnS4gLzLlMIl9Rc3UJHz43hBWjYMuSi7NmTpIoL4Bk 3A7Rvrz5UMadvfBzGtcgdo7CsahuXqU+rXE7vVKg5Xaup+XoFja48MxtOSCTCPVAhiT5yXLE Ps8faHDWZONOJyNkkqEtjcTox+1/CXftnKTw85ImF7dg9jEXdnno2riXMYz4Y8nOjFeROkfh WAqusxH/fOfjbnqlQMttXFPL3i1c4CEzcdv8ZCLGOpMIf55LqG/a4/42ob2x2+MnRd7OkquL vcTNxof4+807b/2cxCm/APJxS+61F5M2brf/UqYyjbeRO0fhWNRL2dqctsTd9EqBlus5u5Z9 fN9zjz8XrE+GWG8SksBwZ7PmM+WYVi7qPXKyP2Ks+tPq49YtBR9J2VjajX8f0Os6oGV9fmKc 7vjhzxNsR1L6uZHP+Bk75WRPTCfnXZDm57Lzr4hbtK3WydakbCzZ57hXA72uA1pWR2+c0+l2 cKAuAfOpte0o7DGSBJewcco+RY7PzSJL9jmQ3XNSH+nihnjHbZ7TmnHLfg1p1lM2FpOHAzRJ 02vRb4trTJaz1I1bCvTaD7QUzqzlyhlnnvP8pvHjOGtOqsVtGgx+H+ca/MI3ND1ewbXFNtS0 bQC9dkBMc67lzNTQ8kurWu5gnK5z4PnClLPmpH7cbRe1AC0UnFc3y1nfnU8ra/VZigO9KmNm Vn50YqQz3dDS0bCWu804AcJI0a9fFHbB3LhtPhuS2jozTol1h2KLXjsjMc+nlmjZvJYYJ8Dp cDNOr97aYtvecyxIEDMHtGwejBPgbAQLrv/sDNrGfzlvrhtatg7GCXAywq/nt/n2IaQZDNR/ jwAtWwfjBDgRUmjDb1u+P92TYns+3LK7b5xo2ToYJ8BZeM2+sOLt//KF5XcQwxmQF73mzRBa tg3GCXAG+v/b5288Bzs9sReEoGkwToDG8V8kmWyTacqwT3gZF5ph3gAFTBMt2wfjBAAAUIBx AgAAKMA4AQAAFGCcAAAACjBOAACAYj6ff1i8qHzx6P6cAAAAAElFTkSuQmCC</item> <item item-id="15">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADXSURBVDhP7ZPtDcQgCECZy4Gcx2lc xmE48AsVSNvc9d+9pE20+MpHC/gCf+nvcaQZI0S6D3gNCP2K88EZ19DSHOngKZR1SWF/XhIG CJhKXxOH1HhzKbjEExyzS5pYzm3SHAHDFm3AAql/Uivo+4vUyOCEhSEdmXeWbEWqernTejmG ZcVxUm2IU6oG4DDkuk1NyvuPpRSJKdyUXpW/wgPVszLKb5sXg2K8YZmDIsxPqlYgfxM403c+ KeZmtgo+J607pEQt44lYejnQ0sr+Zh87zpF+xwtSxA8UVD9qV25w4gAAAABJRU5ErkJg gg==</item> <item item-id="16">iVBORw0KGgoAAAANSUhEUgAAAW4AAABDCAYAAAC85+/TAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAnESURBVHhe7Z3psas4EEYdzqsJwRlM Is5jMnA0/vUycTAedUsYIbS0VpD5ThXz5l5jFnXrqBH4+vYBAAAwFRA3AABMBsQNAACTAXED AMBkQNwAADAZEDcAAEwGxA0AAJMBcQMQ5fV53G6fx+v9ed5vn5v6//vzbV4D4BggbgCCrLK+ 3e4f9vXrof7/oXTeCz1Q6H1ul0e/nYIT8nr48+CmEgHiBiCKlvdXmu/n595d3D23D6aGCgeI G4AUEDc4ERA3ABIgbnAiIO4xrPNUj8/z+USHnI65xR2cJ1ULbrJOCMQ9ANXJH9/OgUpqRlbx 0c1JiqH5+f5USu9Ba3G72zLn8B2JwFRA3APg6gyVDcihpbjV1cLT0TYPRCggpgXiHoSRNy5N gYyOV2bU6ZGHcwNxd8KIenclajoNrlBBnF7i1nP1+ykePXUiy8ucdUEXIO4OGDl/Bb2Z46Yf 70h6kKCPuCn3vh8iKsKIH+IW0mmQg7g7YVfc79fn+aAOoxOeGhyAOB3E3exei/OEDRgPxN2J 0FQJACJaizs0RbJA+5NW4ra4dUXJBUm3J2zADoi7Hb5nZSFuUEZbcQenSFSB8fz+4awScVPe 10y9/Do5A6JG9JkPiLsN3NhWxbE0fqm4v1WMs/zyQOAb+HgZdNJabp79Fy81Qmso7sgUySrd kop7K/AevKf4sNpLCdbXcLkDokLFSvSZD4i7AdwxnOBUTpU0n9+cFZOgo9jJu2TfJvbnEPci j9Cy7IPWyxP39v3toVjM8shi+FgzK+7IILsB4q5Hd3YngSHuNgwWN9FO3mcQt5R8cVOz8FVS j/io9rOfxJqB9/Phab+1XYNXlLTYbfgd+CMCh7gbQI2IirsPB4ibaCHvurnfOcStj7M8z/3Q 9mfMf9UWuxu0Oe3qwF4JtK1P3LGRYcyliyRpRyd2DJ28m6q7s7iPj1GIxrE7SNzEro1zj+P1 nEbc67na+zR57choXZeEpCXOP7d6qoT6zkExr8Mn6UxxO1caVEB4m8IvbjdhTABHNCaPMsKE ZTkWjmbNMW3kWUqaLS3uA2MUokfsDhQ34cp73KD43+fP7Y/67/GMvkEYni8+P+6x+wfECNLP fLz+Va+rxfyoUCPEYX+QpqDKYAGMOLaxxNvhyBiF6BS7g8VNHCPvgvZsjq6mx0pU7/PgkJdD +TrkeXadH+E5bq6ixgSPOkjJfng+ctpI+8nqtANjFKJb7E4gbmK8vM8g7iOg8z7LVXQB3BdH xC0qbj36tRtBaGeh0dQXMLN/7iz0mn6//0ZgvLHsThdbzoK808ZiZLVfVgxjcfLRMXYCcdvx iy21jJU3tdcFxR2cQhPmUxUN9hE8/tbo/PBmNVdDzQ5ibRRvP4yMVHwcRjz7uV1CN3Csfy+d LbWcBWmnjcXIroLlVyWJOPnoGbsTiZsYJ2/dMaUh+BkS4kvnUz1V+zhc3HwArRNTS8HXD7WA Qo2Ukonu/P0vX8ch6rSxGPFr9jZyRBCOk4+usROIezRbeUvbNJd0vNZjmGuJwkVATHyywsId YHdLNKdk+/Bi+mT/lPWK2xx45PJ6bZic71C0haA7LG9D7edvtPMroiNZovNPSFqyiRhRB9i8 Zrd9inCceHsmOZfkj4tbURO7E4qb0PnfS9qE7pjnO/PGOLkUzxWDZJ1aAvtIem/EsTE6Pzbi 1h3Rs3N1UPwwg/q37DsUt/LYfECBR9rQdtQ+lDReQUHozh/r37qx00sM3/otF5tUm6ZixK9v GqRU3E6cfPSMnUDcvrb0Lc3g8+3dOXP61Q+RFF8qn1oQ2IfEe8njb4Xe/5rVvGN/BfTtwJF1 4ixC8EmEDsR3wrTu2kA84rkdmY8nHkRfR/YtZyHaaQUxaiNu6Xs6xu5s4i7O/VzO8xz3WCiX QjknyKdqIvuQxF7goiZsn+PWHdWX9HqxDsicBP1ensT29vcnR4203da6PredtU97GmAvqfkJ i1sYIxKe1UbL+2TNFI+Tj26xE4h7HOachhxPoKL7eUJ5KsunOgT7SHlv1+86YfpFeTlCG1hO NMkaFP9oGarcYvxmglefEyeYtQ335yipOPnoFLsTiZvbYkSnZK4qbkrVCT45GfDesGMvEreS gOjz9Dvs0ZQS0yN8FoxUAIFt/AAtOq1dBecllCBOPnrE7iTi5iuDoSK9rrg5j4YNkBkIvFf3 h8UyKBN36vP0ulO61QlXLPweOrn1smRfxUiSdv7EXttjf4e6zblZbeyVX22cfDSO3RnEzdXV oA75pSS/3ffo+PZvvsSxZrcf5VzuuQ9A4r1RA06RuIXM8e0VB7EZvfeJn99pyzl1nI4WN19F 5NzHaUVChi4sR3f9UeJWxK62+Ngyj8OpbmfA//e4O9FH3LpKO/081ZEkhDBG3BPE6VBxm6uN iv2XXzrniDtT8r3gnPYcB4s7vx2GirCW0QNNH3EDEUbeVI248uQpDM9ymMMGsE7ROMtBJ83H U3XpWyNU+XvpOM8y+PK9ADdenOclAxgNnKUD30Do/EZNkSxA3CeAK5LflvJstLgZydso7tBS cdN6IbnRa+3zSrfNMrA6x+irun2/A3VA3I0xVXSys6j1yp7MAd0pvLRfMVMsJLbioArFzcfq W09Lu3lB4FSX+/sjvsFCeC5ADsTdEFM5izpL8g41OAQz8H7jUrsUx1Umu+iVQaSICE5LLUvo uJf2CZ6XFvd26kb9bvRUwq8DcTcm0lnA2bEq5UZL+dxzX3FXYQ9uu437xK3a9QFxNwXibgzE PS3buds2S3keyMStr/IGi3vBXGFut6/F7e7z9ep1EBcF4q7Hd9m5/IEm/TPNl+qEHv9BDjAn QnHzeoGc6iFutU376053T7TwPiXHDaqAuOtwHxlbJL50Fq7izOu9vrED/CJSceuc20/JLIVC 42LBDAZLgeJOlXC++36n1m06gFwdiLsCTmKnU+yqnLXyRuICOXJx63XPcCWXc8ygCoi7HO+N oZ24FT7BAxAlU4KH55iu8FGcDALiroAaL1lxq4S+e75NA4AoJdXrURXvUfu9MBB3DbrK2Ah5 I26aJllf4/lvlCRAxJJb+wUpdC2W+2a7BeKuIdzB7v/of7mjGaHza/gwwgnRcYQUwUxA3AAA MBkQNwAATAbEDS4OTZW0fSpjnZvcf8MRAC2AuMGFWZ6194s7eHNoWXwT4+/4NxwB0AKIG1yc xhW3uRld/kemAEgDcYOLQ1V34w+wWE8SQeCgBxA3uDhhcRdNldjwB7XwqCFoD8QNLk7jinsz x00/4huOQHsgbnBp7CdAmvgV33AEBgBxAwDAZEDcAAAwGRA3AABMBsQNAABT8fn8D9G12u2C xXfwAAAAAElFTkSuQmCC</item> <item item-id="17">iVBORw0KGgoAAAANSUhEUgAAAIgAAAAXCAYAAADQigfEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJpSURBVGhD7ZhrkoQgDIQ9lwfyPJzG y3gYlgQYHsaQqDg7Fl8VP3wMNOkW2J3sYMAwAjJgGQEZsIyADFhGQAYsRUDWZbLTRLfZbOGt 3ySf27KGm13YrJnL2n3axYG/4U8VkMWWU1jtAgL6VrQ7UNhYQCzybJyNnVkXZ9xsP77h9bWx v+FPFhCXfFMNj4mtRf0avoiPZ7wOiMPXs7wn5zv+HJ9BQuJ/fWuxm7HzPwnIZmas6S1aHvLn ICBhH6WWw7hUQlPNVPclf8ZoNI5oSGpg2EMrSjMgV3Qw/sRnMF/VdkbrISvsJ0IshfA1xh7C lylLcBItLUgylW9NihVEr+M0dUCCDm/aNR2H/jjy8xa+JxrgWM++wozx27q6rhIoQJxSL6K7 MTVFQAC5Dr/HM43rJF9pYytqdbIe3IeJz/IzCawK0jMKracKSEiS1HQowqmA+OVsX7QOsAHp qIPYYkoaOoLuMoQNf3Z+5GO0ONCDzwLc1lIdoBF4X35IKsWuC1e8XlsMoNNxGlVAZDpa/uy3 lLMBSXpShUMhKcNp8S5lqq8uCpCJpsJAtSaHAdEU7wTigAh1CPy5JyDlb0KF/U3KAN/2+9j+ nzYt8jH6/u3+AU3K5oGz7q2DqCXpkEaH0J8btpiiP4fgE9wDSZUNmpPE4uFP38FNvFgHrjJZ 2OprFlqPPiAupcUy565lc0sC3I/wEHRHTfS8WweYG/05f0ZMelQB8YckWILyVifUd16ftDGV +D7sl14MXqvOMdd5v46sLzJxSn/C89vZjKmCM/hPSP3pEBCfPvnSNngWnT/dVpDBOxgBGTBY +wfKqf21WAdDgAAAAABJRU5ErkJggg==</item> <item item-id="18">iVBORw0KGgoAAAANSUhEUgAAANQAAAAXCAYAAABzomECAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMYSURBVHhe7ZkLkoMgEERzLg/keTxN LuNhWIaPIA4w/CKu86qo2sQEmh4aMfsRDMN0gwPFMB3hQDFMRzhQDNMRDhTDdOQUqO/6EZ8P 3pZtN596Jue5reJr3h/LLrbFH9drq6fgu8r36jU9u25Ejyq4w5cgUGFRv2IFAY0Tuxsw1hpo i/fTGanALOKooXotdSybXE72dUug/kHdch5VcIcvXqDkTrEFw6uE1xd6DrSJh4f7JpaGIlUR LhaJ9ta816Tpn9Qt51Ex9/gSf4YyO8TTj3pqsfqBknZuv54Tslj2bVH+al0dNT21blmPGvmR L5FAmXMttmsaYaoVzTS4U2Q4xsi0FLYgroW7XZmmaooWS4umRN3sNfCh6G44i0ejfJGoTTdc GzlwPeiK1BPBBpCdHD2UTNAVk2qIDkC+ZbncoSzlmqoJF4vRdC1wm6Z43UCC253V50gDzOLR OF/0uNB35DpKXM91RZqJoLfGHabmgCLRJ6hFDC9MSDRQAF2TPn8nWqqTo2hei94lKn1K1g2u +c8OsBlSnyVm8WiALwfgR0mgAFxPECj9oXixHfRdzuIL0He3q2kDIAdqoKZw902S0WTmc/Y+ UzcY/3TNHyPHLB4N8OUA+msJlKdHXTNEb41SrPvBxIi8iM/hCwD/0hNQ/RNaFnKg8pqqqQ4U TVOubtfN7zxGmlk86u+LozVQTo9bkWbhYbdGVHzi8zhWAK2YWHiwloUUKJqmaqoCRdREqFuf QN3tUX9fHC2BOusxK1K/iS1Y3fDz9rVQKfwxfvQ/ElUkbx4XraM1Ib7mV0KBJmLdwIfGI9+p v65QPRrgy0F9oML+CFt8AihUYaDg4+rhlfy9kbxEk9qtvUUUvk4yi0cjdbQd+Xw9DYGCDktE OAF6AvbvO3mPJii6Pf7AyaL8qA5/3+nRSB3QX32gfD1FgdIPeTKNqsUE6M7DX1ZUio/vaTHq de9fiwp4lyavL3Qlzl23YTrMs5buGwtpoS/menf2bZNSmKfBdcOh+jIgUDqt9CMFMwdcN5wy X4bdoRjmjXCgGKYbQvwBifRufUBW1LUAAAAASUVORK5CYII=</item> <item item-id="19">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADUSURBVDhP7ZPREYMwCECZKwMxT6bJ Mg6DgFFIA7G91r++O70TwwsQBXqAv/T3JNJGCMj3gIYEpdJ2PITrZqkkZUKVgJMyW6UCheoV mKSLCpmGSLWWUSqo2PIGaUOg4rf0cAfIWVskZTQuCxgnlSrHNgx+1xMyqa/WpItZSttnPJVq UaDdXFJdHEm5guqCd1IZ361U5gxy4sHVJ9IJpKv2PR+1fwSzgzJSaXhQzPKT6mRSjc+flPBe tTOSZ6N7kTLBb7fGZnkyS5Vx55x4XSL9jgekRDsttzrruTv1qwAAAABJRU5ErkJggg==</item> <item item-id="20">iVBORw0KGgoAAAANSUhEUgAAAXEAAAAXCAYAAAD9XX9XAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAATdSURBVHhe7Z0LkoMgDIb3XD2Q5/E0 XqaHcQmgBuSRgKDYfDPMtLuKyZ8HaDu7f6sgCIIwLNLEBUG4nO88r4t9LVzFss7z174+kCYu CMKlfOfP+gk0G6GekLbSxAVBuI7vvE7SwJvynacVSyxNXBCEi/iu82eSxyjNWdbpMyu1DU4T X6a/9e8vPEa/PXJ9s4m2TMfr5kCCYxvQmJAF2KZK+94RT5WwyG4s1ZkCjQsYW1eiRiWoXfgn MwfWrvZyadr5eX/8wbfPvhv3mrif2LaA2qrdHBB9E3cLrPaoaxO36GseATDvlU3byoptqm42 o8cTkvXwAZ4HglZZ8zkaF/CKOslpVEDuWTiuQ90IK65FpoGfT4g/1ho1cVUws2eaXnHKk/0Z GIF3fWG3sAUQv+6Fn1QKo7P92WX2vSCey+zopH2CRThXLByN2bykTnIasTGxiYfGq8NetPDz CfEHv2wOx5+Ja+dHuu2OAAXrJA/+mk74KztNCSSVu8NsZN9L4qkLpqCJxzWuZFRdsxpxgSad aIynOuzE5X563BV/fV2zcESauN3xJHcrmaCd4K3EIAxlpNiCdYyUvZ12CsVJVWNfKp72d6AP a3faSS+H3G7PwtK4la4K3bg4NQI8JQ+ZdiR8DdfhoH463FhXSO9gFzROhgOywbslORyiinUE PD2ykHYAfPuK8ZPK2pcOdJ19qXhCHLddhD6OdIGOemFAK0pBkDVup6uxAeam1gjwlDwssEOf n/DVzm/mG9hPxK11hfQ+d0HrZPL2QAkzLbBiJIJ2whjYPGg+TvKkoNtnFrDESE2yFzcalMZU ql8qnvp3+FkexJT6bK+TXohlIuYbS+MGuu5wawR4Sh4ydfGbpc+pDgf1c+PuukJ6ek3cTJBu KsogfYWaJg7nhgRtwCl5YnSyL5fsUTL2WT/dhM7EE2xxfoevkaNvPGE3E7Qr5DdL4wa67sB8 NU38zjxk6qLfJ+azxx8yDuqnJhP/HnWF9HaaePT2QJ2wfSB7fL0GLpASx8d1JLer0oYTRpZT 8sTg2VcMq8Fg+Pbl4nm+zStNtoZ6AUozZ8eD8jEIS+PrdT3g1gjwlDxk2qHrLHHMqQ4H9VPx iLpCeh9d0Iocuj3YJ1KCHIaUNnGaQ6GGHRpZTskTg2dfMawGg2HaR4jnNcnWQy8/7plbU5bG 1+t6UNPEe+iaso1rh9k1Ro871eGgfj6lrrQdpg5sFzQnnItlG3Bw/BiOceYc6vOhSvwGkDS0 tX0B/WjCWTj2xWNlhj0f9Km87XPmuxiz48F22xHP7AKNG+i6U97Ew/NdAVUjrh3m+OBUwToc 0c/AnM6w5/eoK3QNwlY2RulOHK6vDKR51JEftA+t5hr/fZKn60WlpR81O/G7deXbAYtuaIca Zlw/s3SoK6z1LU3cnLu9fgq/aR8kypYMpUX4TL2otPQD5itv4vfqWmAHNCv/A7goA/tJoHVd 4Ud3DZq4ubD/aapeVeDn+hxjqH5PDnpbftc+NFcwe8eMJ5Vmfujd1zZ3qBCfrWuZHXAcbcc5 tp8U0FyX15U6F72vaOJp5D97vAuJZxtep6tavOTvidMpiX+HvyduVg/67YPwbCSebXivrn6T EUIUxj+wSDbbiQuC8KtAg4LHAfatcA2RzxykiQuCIAzLuv4DGH+Eok+EYakAAAAASUVORK5C YII=</item> <item item-id="21">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADYSURBVDhP7ZLZDcMgDECZi4GYh2lY hmEcHxCDMSo98tcnUakcz1cCPMBf+ns20gIpJPwdqBliCBD6SnTq3ENWaUn4aL1Yc1QhLnbK AQaLkGv7jxipH5n3b4sDi/XdJC0pQBxDdjh7k6GBK2mHg5SynMsQKuSoZfPyzEO2Kt30ckYD rF5KSvZvqQzilVSgNq3ZipTa95GUqzqRnpXfwLtH5cumNygDDSRm7K7BHRTiflJ8eZi8J0Q2 nxRxmO0CvdPWGSnCmb0j1l52VikzR97j39tIv+MBKcAF7UUz+Fv7LyAAAAAASUVORK5C YII=</item> <item item-id="22" content-encoding="gzip">H4sIAAAAAAAA/+xYTWxbRRCety92/Jf6Jz9NS9M6KaCmyo8VEaEeAnZstylVEitJRRUOqeO8 NG7in8QOcQABChJCqFJ66AE4oCAhcUBClHMO4YA4UBWkCvUAQnBAQuKCiuEAImZmd59/nlPq NBWiKJPM29mdb3fe7JuZ3cQBAApyFNnG5Tp82oOjC1ooFTub1RLA6QByfcWIHdk6k4qNaZfi qaTKx84gWxKx0enLWiwrYBf5ogyf5sxcejCVE8OTtB4OjBWBzyFfRW41AzyJrxQyl/pElnrR tgBT+St7isYD2exSfHo5qwnEELITyqnOP9RR3mdg8g9VQsxVkHojxFIFsRohtiqI3QhxVEEa jJADVRCnEeKqgriNEE8VpNEIaaqCNBshLVWQg0ZIaxWkpQl4WJlEoz9x9Ksv3d+/d/3wD2Cg p0CF7YIVzGVjSnE2kgt4EFF/u1Ao6MOFfXqo6C9kk/yGVGnMUqbktkh5n/6/NAYp/MmCF8KQ xHYJVo2l4B+pBWuKvhadOepNxse3hPp0OTbd1mkZ/v2mQji/Va8po7AA2q5slpMNmFLuT63z mmQbhkVYxtM2C3HchyTuw4jsPV/TW3nRPuXNbuxTzfxY0eUg2k1AGvdhGi7X+vpF8qB9WorJ d6hlDuV1XMqU3zSXvgn5QbWAakC91FllS7cLB3IDiLsHnTguZDd/B4BGEHvaDBQTAAeRW5EP IR9GfgT5CHIb8lHkY0B7B9COTIfVceRHYb/e/NukiNCpoAv4ZYIQgBC2IYzOGGZIArOB6oMV XsSk7kf9IOZOkH9TBvlPr+FC7//k4fOvwBfwEsomBUwsND480Y/x8Ww8GVhYGIxm4rFgakaL RC9pGXCbJuIJLeMd0Va8Y6lENAludXw1MZ1aQFUwtbwU15ZICe664QlvOJddimK0Wdp7w+uh 3kAk73KemQpE7hw7inKzMwD5cP6x/PrgFEouZ5Ca9XD+5NRQfp2P+LF9ZQiFwMmp0FQ4T78B p0PBLFQYEnqiYDap4tZto2vya7PYxeC18848JqwCNlb3uqejG/uRnZWfddzG/mSZ8g0fPta6 KmEDMKDStZ3PnkH0EUIrHN9HG2mTGnzkdlDjIve0AmsnxHSUOneoBQpmnGoTtcNYuymPh6PZ uYnVtObt7/F5w4vL0Sze73klKGrCp3k10JU99MWfgPypTxbLDSXnh6NpIfaCvEfWS7uy9tAY 9fWAPIXF5QoqXjaTDiuR+rRKyK+5liqVqH38VstwIpd6lENyzM50nIN56zacVKMeNztxH8kK YKWnCraF8gfIF9GJz1XxdxShHEUPaUeoZv7BRJ0jw/S+3fJG3cT87JaFpEaUDthJspJtJrRM OW6jPPmTdcj6fFVUfwYuY/xfuP7rShTZ6/9t5V377DvCDvce+mwgd6lvdVMRa6vqHdNe1mby /I3gya9BBnz8p3ZqxRXK60ktc8iNLfmHxd7Pf9i1/e0acbXSbu0/aNqL/W6F8dz7BWOMznYR YzTi6/J15eCWKQd6rHnVuT3HsbDF7hrPG+ytBmHj1e37s1Hyx1a0Qcl4ojOCpV3PmgIYPVHu 05PKXZtH+pAx9ZxZ9+gjxWc1erQ7WyWPKndtplP3Z4Otwd5slPxxFm3Q2rORyckcvMCc7Jz5 O6bbu6H+bHlQPlV+pZncFpS8+lbZIRbopHPJWwK02W3PpL/x3NMrR9EKnTbdtwcm3mZdKqh0 llC131D0an/+/DVl/+by37u5lM5leW/lpJ/LOunRJeLGBeKflJuEuIE71TG+muH/MaUYodOj Hd7kS9Gamz965Hy1GJ0q7EwjgZGzd1E9VPQ3AAAA//8DADtjQF9wFgAA</item> <item item-id="23">iVBORw0KGgoAAAANSUhEUgAAAKcAAAAsCAYAAAAAYaj3AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQ3SURBVHhe7ZsBkoMgDEV7Lg/EeTyN l+lh3CSAi5ggKiLFvBlnu9YKxs9PoPUzK0qjqDiVZlFxKs2i4lSaRcX5c0yz+XzmD2zD+HX7 +kTF+WN8xxHkiaBIjXvdJyrOH2Yyw9yzeao4W2cylMI/wzjHOpzARXtO7CrOH+A7Dtv6EkRr es7pgIqzeb7zOETpG920d2UCKs7mgYlPkNLRRSnNu61njao4G2QyTnwoype4JIeKsyncGqYX 43ech87dMYWKsxmwtgyESeC+vtcyU6g4W4GWjCIhvjilIyrORqA6MxTiy1M6ouJshJU4UZiQ zg2mdHg9vlSgmeKs8GMDSmu2jfV2reZaZr7s1lA955yS+kVLRy7mzDdDZ6kTi9zv/PePyxAn nsQtAqOACgZrwyaVuUnC6Tah78xn7U3q+3vpLRViwdXNKeh+y23vihM7X+2nWczF2UXnk6Oa SYl+Eft1tdztsch1zAgSKP+5tDiPjoSL0CiOIkX7Srm1c+befweZReFYXDExGiTMCBHE6dIp dL5sPZICR956FJcf2Vvxv5PSscDzCel5mUsE7/t93nQE90w6J+dkt7FcRLiVGhRXa9d9KFab /gdbM4PihlhkZFjvjrxLbo0JSYiT/8AeZ29S0fQdYftUrzxpmTtiYTPczjmTZYTVWvyeLM5E oVoevnNZuIuWRG8D197MnB24BTeOu2KRJU7n2PxtOihOanDjZLaBs4WvCAmMC9rF9lypsPk8 tGeCfTa4XDv57Tef1i/HAhHikZXWzWwMnJuNw6G0nrgp01h85NGNlW7e2fYkR40HAv7vjmGf ybnhesthb6osJkepWCBsPLAfwvEIiJf6h+d3hodiXbXLiFvy/3WnAyYDJ6GRkuhMLtSODS5t TM15rr3/m8ZuQTvoFMs980EMKHq9hcl7ErNcLBApHmgw8fHehf8HhTU93BceS8fFAwdgxSkd TCcfJ+gcH4by3N9ePILDFFf/es9T4knMdCyQVDx23FNEHliLOBdBChZLOKfjRtQtVGgv6Ra1 r/cCJZ7ETMYC2YsHvX88w7E+CPw7J1k1Wq6UHrBtHFkwesz1QORQpT0MqItO7D61r3fB3wum zGGB46UbfIhELJC8eKRKjJD944QJEQ/VG/Q3rCPuo1Z7fqbtHcG3V/t6Q9DFshwbhVywb1Is 7Ou68TgkzrewSm+PAO4UPw7MQKUYZTu73dHnJ2Oh4mwSSHm5Kb1jVJyN4NMp1Zk+VS/zgMBF j9ajP4yK83HsjHWp4dyMOEyllL5hh//7FlScj4K1ZSBMAvdFs9i9JZxOUXE+CaXoSIjs7NuK +EWmSag4H2SzJMOkdATXF+UfTfSLivNBVuJEYXKPA4OTUjqn9+0kyC6G27d7RsX5JM4p/2ff bnIErye/hrm4patPYd9bak8Vp9IsKk6lWVScSqPM8x9Y7gaJHeAcYwAAAABJRU5ErkJg gg==</item> <item item-id="24">iVBORw0KGgoAAAANSUhEUgAAAF0AAAAXCAYAAABpskPJAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAF6SURBVGhD7ZSJDcMgDEWZi4GYh2lY JsNQm6PhCEcChFbyk5CahBD/VwzTxOuQ9A2Q9A2Q9A2Q9A2Q9KUoLRjTQrlLB0lfhhXOSPoo h5ZcgM5ODqk5SR9lqnRczLYCY1zLw7cG/sbn12fTbUwRfs0yto72KLMqz1PpQT3w0ajyQ3LN uISloSzhFz9fGJKuRCDB3Stg57VHi/l5nkn/ZjYOoCb71FMqyN4fkm7AHdaWPo/xPErY94uj tkh6vLhOz7fL5REQFulbFYbbRV/gn6wHeVs6MJInA98bONPddSIdCoAPK2xLFi4e7wwlCuIm SY92UmW0GcyTMV16vKBpq3O2KzIuNuOnpE/IkxGv2aQu3X4cg5gJ/iEO03Ln83jHuDB+bjqy NH3Sx3mep84d6ZjVfwMyq6AGN6OBLRIDxDsm4RfP9Es68yzitnT/D17W+YfSq3kW0SX9PEJQ mC34bNWAmvSwxV8OmdKdZxGdO52YCUnfAEnfAEl/Ha0/arsAGk4nD7QAAAAASUVORK5C YII=</item> <item item-id="25">iVBORw0KGgoAAAANSUhEUgAAAOgAAAAXCAYAAAABbQO0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANmSURBVHhe7ZoLlqQgDEVdlwtyPa6m NlOLsUkA+WP4KWXnzuH0TImQPPKA6jPLwTDMtLBBGWZi2KAMMzFsUIaZGDYow0yMY9DPthzL Em/r/lW9/jmfTeixHr3k+G3NP8cWiVu2do1eVY9YN1YO6358xZ99g59pPINuQnIbtQCb++l/ RhdNrwJ5g+bffVUFpxGFt4JObSZ9Sz3KmvG0+O7HCrksfo4ulkGFqLsnBw6cH+B/AQWyHRvo 4hRkLbNqDgajxxAaVKAKsH4je5E2Qof4niLrKTdW+juoOpL5amsAsVGPztfck2k072BQLL6O ufykNurEz2zm332vMSgEkRpYPbuYOEQG23w7wZ352hwYH6HRgbz1vKnia8lxJs1hvjaDypPD XqdR2giINeFygzZFt4h4PNEKDcU1wDVDT4j9SBmaAqtbIMX5RfsBg8LcVvDhdastx7k0LyhC gYzdaCrbPdqU1IThJm3Ip346nrBCc67HZ3Zw4HrqQsogahbIBeYsWYw+gEmc2JX4bj6VOU6g udxwMi0zCBooeoLaOQ3Q5qSmJm7QhmxQIB6PZ1DZKXmVgAmdZyWi233lcY7J+XOJOfLjPWBQ VSTOoujmBHuRox4n8s6jmgfAe9RNANIKDXrmdW4mF7HUaHNSUxN3aKPGJS1WIh58pkheJYR4 8As1fB4RkDS/1/ezJQTtZFBMjtAoQN6xXTB1zb3M0WIKzQPgvVaDan30nP21MbQadJw2rgYh kKOMIR6PqVC1g8ULUXbuUywX78xmUNQlsSCBZsQcNbNoHgD92wwqzSU0PictjIWgjaHFoGO1 0fOAFv4cYN6r2lEVagaJNxVQh+uWM54ie8cPBq9ZjEpUkchYvDmdZ6KhLukcQ57VPA+8R+kP a2HH7DUnyAHanNQbND5eDqo2LueGZTV3DePx0O54GixKKzj/31lkABAUGjJVYZ1O0Gcg5ljC HZrfwshYWk7QGbQB4vGUGVQAL+tjGXaF2BUkjglACqr/7vESg2ZzLGS45rcwMpaamphJGyAe T7FB9UB4FEczkoP730lwV4DPUUhrDK9f1qDetfJZQUPIORYzWPMbGBbLZU3Mrw2QjEc9787V f2Fi+sOap/lVbQYYVLqffg1j2mHN0/y2NsNOUIZh2mGDMsy0HMcfejEIpekIjKcAAAAASUVO RK5CYII=</item> <item item-id="26">iVBORw0KGgoAAAANSUhEUgAAAOYAAAAXCAYAAAAfpDMHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAN8SURBVHhe7ZjtlaUgDIZvXRZkPTaw bfhrO7EYhxBQgfAVxME7ec7h7MwoJnnNC7ifXRCE4RBjCsKAiDEFYUDEmIIwIGJMQRgQx5jr /Nk/H3pMy2bu+ius+0zocIx5NffxebfeGX2mZedW8E19uC2Tk79um3XGfxN4xpyV3FeM+Dc0 4VtBYV1dTrF9ver4Br21FoEJt32Z+Np8Rx+CBmGP2EWnwpjqQYsnh35IW/O9HcqYGrXqaXOy d4ZR9a4zFW3MFr5Il8+0kxu86p3czh//xjSN9/eOsC5RYyqwYSLi1zKM3u3GXJcbjfpKXdp3 +IgxIYnEbrAt+1TdkJhs82mkMLbezQpGjpQx8ZqtqaW+lN7mGuRbtTNx82k1porr/95FF8Wj fVihi1lMymLQ+ZCdiQ0X34axqWsEOZuL94IMFbHxvvzIkTLmuZr/b6ovpTfsyna30PcVBWjR m2FMo+UxDiO1vfex+rBcF6tJEEMvJEYjGPO/aD5hZ5rJ6aMDuLxGEABF4bwgF05sPigy/ULc F8CsL6W3vnaNDbWXmqY8HzySJ0biIVqD5I7ZQZeDvn3I1uVYsKnEMP45l87HM6aZFDs6HLQK AvNNcX4sVVRaNE5sPiljut+YmfrsaukUl9EbXjC7yQv1DoB5peaHsnxjqmjON2YHXQ44vfCA LrYm8pmmtqPeSD76mgGbkChUBXL/o6xVEPWEOTL/JmPq4gpGjqgx7VGKFDhR34Wc3vq6I4Yb I019PgjMazMmsu6LDni/Licd+zCgThe724bvCuPn+ubsTONyavsNk28RxE0k4AXGxL/B/Ovf C+uzFOh9jzFr5gBwf6sxrzEr8xilDwPg/nJdMDfsMTcGxg2N6eZjOtPcbB4UDj8hviDU85Jn +UA5TmwOp7DUCBsnXl9Iod43HGWd5xUB80ruT+tzxuygy8G9fZimVBeXcxG/DOKd+vnktwwS viDQVNqIse66acd8nsL6atC7x6UZ/N+TdMiHRc88OvbhY9D5/Ioxcb792eMLjJmsrxJ4WXZ3 htWXOuLR9Mmnnp55cHphFF0sdD71xjTfAHZbDovCh/vfHXo10HNASEwm3NYVKWNmY/8exfVV c3kWWXCj3p3plkfvPnyIaD7m+u1sy6KkEZ5C9KZ5qy4djImuLz9yCW2I3jTv1qXbjikIAh8x piAMx77/AO+YSndAD+1PAAAAAElFTkSuQmCC</item> <item item-id="27">iVBORw0KGgoAAAANSUhEUgAAAFsAAAAVCAYAAAApZJKFAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFUSURBVFhH7ZbbFYMgDECdi4Gch2lc xmFSIIIkRkULaT9yz8mH0APJ5VEmMNQw2YqYbEVMtiImWxEme4F5mmBetk9lVu9gCvPH+DaH ZcZxSjgPK3aQdudT6wBW8K6aN1DJ3jpDAj+RnSTMYbnTR59FXz24wzhY59gaMX+yyAG6s8Xk NBAERPlVoq8Q6ok7Xqu+dFL/Tnaa1wE50VLbU0g9Gjua8kg2ufdOsiz9N3EJuUIyHa6SUo++ 6MhD2fc7SxIrxSWDZeccxv0ZyjTKVn6VSLLZwr+iGiOf0lbhh9cMj4bEmmTnAdVkp3lH39nP hX9L8zWSfthQbFnpm7jmeKfyRF/BZEc0hTfLjmBi/C6lcKlncQt56o18Z+sJT/OIsrfEUA7u aNzdue1aeg/q+WTReAL2Avj3ThZagi2k3NcLPgf6bNhyRi9MtiImWxGTrYjJVgPgA4r/uPi0 Reu8AAAAAElFTkSuQmCC</item> <item item-id="28">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADaSURBVDhP7ZLbDcMwCACZi4E8D9Nk GQ9DwZD6BWnVNn89KZXq4OMRgG/gL/09ifTgAkV+dyohA4A8+j6O26VH8QsrKjhlA5UYAZmq /xcWaVahC0tUu9DE/d4kPQowjikdPY+r77SxeNJBqtXMbRhWJRJ5+0mCodouzWbZzkWK5O8q E0ZiS67FPqX2VTPpcu6J5hGfHdUPpS54KU3bjwTBGo1xb3yovYu2DXOZnshiBqkFRyul2Fr5 swqFZKWUvNpr9F7vZJEK4byu2Ge+Sxtz5pw4LpF+xw1S5gcn1iXt2BPxGgAAAABJRU5ErkJg gg==</item> <item item-id="29">iVBORw0KGgoAAAANSUhEUgAAATgAAAA0CAYAAAAeyiSlAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAZ7SURBVHhe7Z0NlqsgDIW7rlmQ63E1 bqaLcQhoGxCUH5E0yXcO74x9c5QbwiVo23mtiqIoTFGDUxSFLWpwiqKwRQ1OURS2qMFRZJnW 1+vl2rRsLzJHouYoyzq9/tb5vR0qBRxjpwZHjfe8/u0THH42E/6PfbabxPyYGiTpa5XqccsE Jq8GV0MsdmpwxHgvy4pz+z3/ra+/2XuNHe+3pw8SVaTBmSp2MuOvFVwFidipwVEHtm7cDQ5h DV2mu21VrBpcOenYqcERByY8/y0q8F7nP7n34JZpMtPT/qQGV8hZ7NTgSGMGTFD1ZhFz3xFh t1fbz2pwZVzETg2OMN+VSRaytqmocg2awEK2kOvYqcERBSa52ASH+45yxWsFV41WcESAgThZ oc0E97ZoXhn+q1xo/gCrMscJnqtfDe5IfezU4B7HDRYuozF2e7b9/7f9+la1RDNfc0vp9zlO Utm0xU4NbgTbjfTrAWOERM0Y6fpbaIidGtwI1ODkoQZnCqzKj+Opwf0YnwET9N4viZoxqr/+ I4gNsVODG8E2YJ/7TXZlY37fRaJmjHD9TR9BbIidGtwIPisSPmae7BI1Y6TrDwGTKjS4mtip wY0gOmDomCMSNWOI6n/P83pfF5Z1znRsqODKt6iJ4xPU4EZANNm7IlEzhqD+IpPJJO+cS9lH EBtipwY3AoLJ3h2JmjHU9JvrTzeb2857nk63j8UfQWyInRrc43zfuGhvlC5usD7HfXJuMBI1 Y6jph6eRPd88nq7QoMIrM/W22J0bHNknPdvj4i7ftIEeRYdt2HLbg0ydNge4fOi/QjMr/RtQ AR1y+c68h3NFfMPE8umPIJ4anPsKYGpfXYMcvYvBbdjERoNkjztfcwRXOu0xswleopmh/tP7 ZFexySS8Bhzb83itf1xPDA6MxDgsmBzBSW0D1rNf4UAbWH5f/pVOWO0Jjn8TJZp/Qj9UTLlm 4Sq1ZOV0V97DeQjELWlwHweOCKbACIPbV6HeZfWjXOrMf/T/MxRp/gX9JQYHhcvJfL4r7+15 xle+CYPDe2i3JTyWtO71XNGuJL1uuYw3uDL9ZClKaImaMVT1FxicfQLpa/e4K++vrvMQcUcB kUiBK1FxAF2Ze50QX+B3c1oujxucHTDTR3vNcv1kOdWJkagZQ1l/R4Orzfur6zxE1FHA0DwB VnQoyokdNdg5BueM+aSddX7T7DXveuX6D+crbCn66sRI1IxhoD80sJC78n4zxpJYhRz6Udjs Oey/mN2xY83rLRbqylb7O1mJ0s7jFdyBC/17HFtG+AkudWIkasZQ1Q/96rdF9cmc91fXCekU u4PBgXHEHiG7FeO4Td37s0znYmwQMloutAzuWj9Zqg1OimYMVf3QrxEGdxKDUoPrhO8otlOJ QG0O+zW/XagvOEXMzGItF2u4JAwuTz9ZqgxOkmYMVf3Qn0yD26quZN/vyvszL3mQr6NsBuaM JhDo/d9uLE6ge+1JIagstq0mUc/AurYWHcVR+u8iVydGomYMVf3Qr9z+OA1H2bmxyYwBGGXP AiST/JLpwDdQtpoqShQOSNSvY85Bf+o2VB55MWi7xn3cYnBG6nnZyxKJ+nXMWeiHHVl1dZUX Ayr3J6sNzrq3Eee2iE60PSZQlj5Bu36XHO4ckSSpvk/UD4maMbfmfGwL95h+6HvdFjsvBmac a2KSS0HsGio4pR4/wewT4XDC2wGLr46/CZhbqDmYZOw0p9iMPjpJH9JvqrhR3wfXRlns1OBG sMxBAmwrIR6dxIr0s5jV3pcCiRro46Y5AXzh4xx7m9PD+rsYUUfjBEpjpwZHBFv6Y4OzT64Z T3bQFy633DUDZiKC7Oj7OB/XDwvrjdeD/oea7qQidmpwJHAVnDff7YDV3SchT2oicNZsMVXr NsjpScpZfwt1sVODo0B0wsMWjl+yu3tvplq1LdTHU/MO/lsE0UnKXH8LtbFTgyNA/JG6GbDD IPJhNzr/vVKMNZtFbEazLzlJGY95NQ2xU4MbDAyWtzX9YLatE+dkd9ty3+D4av6+veLYvuPP fczraImdGtxIluCPcAQr1bJEnY8NkLihuXPXvBOvQuTob6Ekdmpwo7CPtcMVSdD9l+h9Rzmk JqlyTUns1OAGYAfoYG6moXJm/5349vUHCQ09kqDsNJ8Qm6SS9LdQEjs1OEVR2KIGpygKW9Tg FEVhixqcoihsUYNTFIUp6/oPqNddEKLLFiAAAAAASUVORK5CYII=</item> <item item-id="30">iVBORw0KGgoAAAANSUhEUgAAALQAAAA0CAYAAAAjfRLqAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQPSURBVHhe7ZyJcawwEESJi4CIh2hI hmBYnehAYsRy6OpXpSpjf681Pa3RIPbvsAHQEDA0aAoYGjQFDA2aAoYuiWXahmGQY1rUN0Gc ZZuGcZtXdcmAoYuBJWc3MU/UsMHT5ywTX/wwdJms62blRSQLhj6B7WbTggpdBes8ouU4Re9m MHThrNs8ooemWKaJWVl8BUNXwTpvIzP1aGcKSESrob6GoesBbUcIawfzhpYKhi4VfoQHQxOg QmeGJyDl9IJXIjdRfZGqEwydEZkke3u0ES2G+rl/ttoX5zq5wNB5UTd76CQIbugEQ38JDJ0G DF0Je6Jw3nzKDZ1g6C9Ridp7ZPFmpJ775Qg3dIKhv8TfSsU1DH3ghk4w9JcEE2VdA8kNnWDo L4Gh04ChKwGGTgOGrgHzwEDc4CwySXiQ4nNPJ2Vo+0X8UYrYco7vVbP4G1/aPFpzc34eYqI2 4jRCv7UzD06FFo9fx5lNX6MDyW1qI/7r3vKPiMQ1+9uOLrXD82qMpx+7k9pS2pRvaIbqX7K/ N/erftNPGiP0f9eqhm3jbiyqcFHiUtrwHGVe+LShVXXs2dDJFaxihDH/MLSrzbLNmX1CGlpO 2A7iWi8rtqSEQbIb2urn3nBYQtLe7eVzIDUlY7q02PPodDQ0N4oz7J7ImCl1osfXCw8SZehd 0IC4j+C/rv67YqFfj78KUluFU21s8umUWKHtliNxNT/NXqHt67ChZV93Ms4mL5Lm/XtHk+vx H17v4ohxK06LZUosDKQ2Nnl0Ig2tJ2YqtT1Rc/oQD+whgoa+JlgSZOUn4tdV6/GJvQPPeXCq oThIbWzy6JRgaB4Hn4wOxF151OrWq4caJEUamo6/aFiszs0+03Q+0/NvQ3+nE2lo3XKYlaQn 6k44hm/c2CApztBp8ReLiNPPA3GG/Jehv9VJOcnaEkLDmY2coPzZV4fo9vyYoK88NrbjUiOY hRzxP8tepPwRdV2qNjZ5dEoojT5yojyepLPL5ug9/lTy6HTL0Lpy9pXT3uNPJY9Olw1tjor4 Vi8nLa7fPuUohPvxu+3dIcmX+tRyedQnXBP/9yI6/VGhwf9wM5t+UvayXn+pbtZQ9TWqAAQN fdQJhv4S7zOgZbK8KtNIhX4K/kmjc+g4GRW6QPjRo19ixHEkDC1gpuXyBJ+PRHSCoXPBExLq J0Wi6jwOfBa2e6nFHjf0UScYOgPuObCfFLfP7hXzoeYRQ0d0gqEzoo3tvtecJSpUuXuCVV/7 EXzU0AGdYOisyOMs19Dse1PfhjZHfsdhbjnCOsHQmeHJ8+8Ll8XfSPsmXKHDOsHQOYndGAKH mKFDwNBfoh4G7COQJN1X+1W7Z0KGjukEQ4OmgKFBU8DQoClgaNAUMDRoiG37AYBQxGqRkDVz AAAAAElFTkSuQmCC</item> <item item-id="31">iVBORw0KGgoAAAANSUhEUgAAAQ0AAAA0CAYAAACQEG3ZAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAW+SURBVHhe7Z0LkqwgDEV7XbMg1+Nq 3IyLcQigBkQF8ZvcU0XV9PxebgyXgO283wAAAAXANAAARcA0AABFwDQAAEXANNbomuH3+7nR dP6TwtCgMUk3NL+/oe39S7DBMlcwjRR9O/yNk4g+NpPqT1yFmWKYjIIK4zdo8Y2uIaOEaeSQ yhVMI0HfdQOvp779G35/bfC5z9P3gR4qDhWmYbqrxlxfdBoZrOQKppEDtfHSTINhTVGHY/ju Cqaxz3quYBoZ0KSStz0h+qH903Om0TWNmQL2I5jGDlu5gmnsYpImuMuwiD23YdhW238M09hm J1cwjR1mx5WN7C0K66iioaDBKmQ/VzCNDWgiqSkqOrfRIxadRjboNBiUjI2VxkyioF0PWrav sKNxglYXCZMoVy9MoyZXSk3DJYy3XBzbqvuvz+Nr25QSjXIMY01vyHIi6KIuV3o7DX/4t5+0 D6NBI0eb3hoqcgXTgGnIAaaRD0zjAFPSBL9XQYNGjja9NVTkSr1pTPt5unsgbZ+rQSNHm94a KnKFTmM0V/taWIFp0MjRpreGilzBNIKksdcS0KCRo01vDRW5gmlILjANGjna9NZQkSuYhuQC 06CRo01vDRW5Umoa85tb7OFP5xI2vRaxB9agkaNNbw11uUqbhj1JHX+JGfYpz35om3c87en+ mpAbklYRrut770DNI6nR1pt8vfm1ym6DxuMFBb8wDScychvfurzhwlJ84zMhNlYhj61zXWPB SJtEqxqFmkZ1rca3QcfF/OGaD0xjfB4hbWbU0jx9YV1b9f7uglaKklxFusikX2+GJ2r8hN5S TqjV2DQM1nwythBXwkzDidxysb5tC4rkAgoOa56lcEItdHVD+2RVZHGmxi/oLeSMWk2YxvbC fg+zaXiRwePgq5S5qG2pMsYWyydPKZknuPkl5E+otC7/RYsGjZy36s3ntFrdNY1ncjXPVL9f 2jcNKhaXjNxg5+Rtj10C9y6P4z5qV+ERDRo5b9ZbyBm1GpuG/53TjYmHcnXANAgX8O0XdlF4 5XGQxpqxhttrboytIDcnlAaNHKl6D8wZPyeDERwfPJMrljHX6uTd0uHB+p+jcfVh1uaFSMTh v//+21QU11mrsAaNnLfqLWSh94CuxPYk5JlcBTa7dzJL+yn37/Ng6ee2hOW72y6bF2I/jvug uK4wDakaOW/VW8gZtVpkGvflKpqpLgiawPHFJUOZty5jsGHQa8TmsDZ2Wb0QeXHcB8VztmlI 1sh5q95CzqjVbNO4N1fJmbo8/Y0DckG6rxUUTg3x/s4G9EAcWVBcmfEkdXE0aOS8VW8B1bXK v9ePZM6eyVXG8p7CBUs67JZmswiu5C1xXIkGjRypeq/Q9Uyuqk3DhGsPYG6KN+ItcVyJBo0c qXqv0PVMrg6ZhnU1E6Dbb7nA7evx1PYm6uNwiXa/I5Hw3T3l9WjQyDm1tkhb/HMP6b1izjyV q4OdhgQoyfM+MHynnccm7R73vgYyjFhjtPf9vMY1vFkmJ4JEvTWU5UqvaXRt5KDeqXmGVpz2 M5jVJwydiiPS83WNK9D/wduSSWaunpopzZXiTmOJbfe4adjbZoIKjPTEy4Y0jYQpdpJpO6t4 IkjUW8OBXME0JlynEcwpm7T7bmVdCmmJi4KQpNFiuil/EdcngiS9NRzLFUxjJDmpqJ3/foG5 swzTRdkR65GhcYRa7VFLciII01vD0VzBNDzpt+CapC0S+V1G8wgfShSk0Rh/yyp8dSIIuqaH qcgVTMNACQu2JRNmy/KSv4t6Dm4LFpqGHI3zLcjlmK+vtGt6jJpcwTS6JpxEkQN3XdJNPgsV S2yQ0jSOpFdPuXprKMmVbtOwt5RipxW8302e28hlbSKAJSW5UmsaNkkLwzCDLcPj96S3Lh8g NsVEUXxe4wapiSBZbw0lucL2BABQBEwDAFAETAMAUARMAwBQBEwDAFDAMPwDVndngMdaQIUA AAAASUVORK5CYII=</item> <item item-id="32">iVBORw0KGgoAAAANSUhEUgAAAE8AAAAxCAYAAACbHPQ3AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAI3SURBVGhD7ZjRkYQgDECti4Kox2r4 uk4shhNiNCBoNOqKkzeTD2/vWPJIAK/zymlUngCVJ0DlCVB5AlSeAJUnQOUJUHkC2pY39N50 nbduen6YduU567tRXAiVdwatPAEq7xjOQqvSUHkMojjT+4E+qzwGsUWN79FcQNuWx9Cbscqs TzypPCbxavLKynPejpPIN+I5fjW7BJwjqb6r5JUWhkFSeaXWgJ9lk/4Z9UWWCMSDxxy0tysv grd5ctJ9h7Ag1tvsJOfAkzcCq3O8tN9OyDlW3InWZcvD9oX2gPbhtgq21l48z+B7g8Igp3Xr 1nNly8PWNf3f+IWQbPPyQk4kCegumn+QC3MTyUsrDwblynsrQVaSw1QgaV71XNny0j2PDkhO wJYOlOmaE+edR2KqnitPHp6286Dpaji7vdEmE9uILUq/z40SIdfS1aTWuqVcd+Vhu5YHTAeu kSdTi8eIVVfuMPiMHhz1XKcZk3IsxHqFYCD4vDKJt5K0a9YxeSvHbaie68nlXlYhlvle6TVN PVexPKza7/qr53pKHmyqIULZk7L+4OvbVq4P7tLfo2150wa/bBnPbiHtysO75yxruTGoPA55 5a0q8V5UnoDm5C2n3xJreeRUvNFkU/KiOHIdQpG5vPnNIe6L2VvEhbQjL4opv05V27b0NxfS jLzif3xY8sjzxbRTeaUWVHlc8B5Hqk/lHWG5COdhHf1srFAH4ubnG/a9xuS9C5UnQOUJUHkC VN5pvP8HRUD4628u2x4AAAAASUVORK5CYII=</item> <item item-id="33">iVBORw0KGgoAAAANSUhEUgAAAEsAAAAxCAYAAACS91RNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIRSURBVGhD7ZkBjoMgEEU9lwfiPJyG y3gYqiAywAwwG5eAmZeQrO3W9j8/qO1mhW5EFgORxUBkMRBZDEQWA5HFQGQxEFkM1pR1aLtv m1Xm3h7EerKMstsp6hoiqwdpFgORVccoP/XgEFkITtSu7QG3RRaCm3K71cHUhUxDnEPvZ4uU TbyILAJ3qTBVs4xV55vnC+gzwHoxnvDZQLvYsmr5sgNRIWmWq3wh5rB6z6bBcOiwnHaV+a5s 1376hHXI+g5ovrule4etpiyjvyMPL4Nv7Quyzh3l24zqY9MGG6PAZLnHkmlIZyxlZUHizsP8 XlxW8f5wPa5nZDbL74yzqM4E3Sw4DemMDVmnrmTNgjvydXVHJ3vNrGD5QqbYMDpjU5bHWO3M p9aNqp9yfc3bowb2/70jh8rn7zVDFjpjhyz44vB3ukMKLAA2RoHlc49dn+MJQ2e8PymoGzrS iqaPrUAjX3LU6YzMwxptu+q2qrUkdMY/ywpH63u+6IwsWeFLN78YgrqiJ4U1qWUct7p+gDVl FV/RjFkS1pNV/G4Yz3QiCyNv1qBvTkUWg2VkxbNUHKUscPb6B3NLyHKiwOVJEJfLeu7vsB85 XmB+WU5EFrw1DbHXvMD0svyNbnYf2iULbL/E/M3q+d1QZAXCdRRol8iqES8886EMfO5soPGi nu0X161FZM2ByGIgshiILAYiqxtrfy9j7V9LK8GbAAAAAElFTkSuQmCC</item> <item item-id="34">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAxCAYAAAB03p8JAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAI5SURBVGhD7ZjrkYQgDICty4Kohwau DZuxGI6nBCSC2fWRnXwz+eHsqeQziXiTEUiIOCIijoiIIyLiiIg4IiKOiIgjIuKI8Ba3ajNP k1FLPL4RvuIWZSYrzYWIO4tUHBERN86iQnvCEHEdvLRZmxUei7gOvi1no5M1h7Rqn1XPtrqU KRyJuAH89uPlFReebjV87cKfWGBmMcqvB1Tdp+LAXtCHn5+r0SrPUYxKnD1prhZneXIIlyR5 +zi7tpBTu4J3I6FBIS5UWnWxhH06c/MHfqSOast2D+eUuPg0ny+ri4l5gm1Nzar1CXGx38e8 hZuPOoYtdRS3ENtxrHvwPLfVouW79X0M9RfnIFNxsUD64tK874g7vmC8yHaFcDwq7lUMi3Pg eWZxqbKavX8kLs4M9Ny3cWaW43kW/YFvO47EufOQN3HE32wgjmj9/WjUNLciADe2Qm54ntVV s9VSHiauvDBGnQgW9xHzsfes1+6k5jbG82yutv5y8FG0Yb7xyGbxrbTybBZMI0/iY85PwJd9 r+TYguf5sbjU3r/pDs+TJC69RMKABeXM4q06zlGed07kn4K3uN2/le4bG3zFxS8AF3AG5eNr +a2K21XgdYg4IuzE5Tddjr048Aa8yCIrcV4a2PIkibW47TvUz0H8m/QT+IjzUioJvVZtnfMl 2IgL35XVd/GQOHD8RfhUXKvtRNwIaZ8Gqk7EjZI3uXWoBf5mK3MJ0rbjL885ZuLeg4gjIuKI iDgiIo6EMf+SH1imm4MRmAAAAABJRU5ErkJggg==</item> <item item-id="35">iVBORw0KGgoAAAANSUhEUgAAANMAAAAYCAYAAABgKMiuAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAALnSURBVHhe7ZiLsYQgDEWty4Ksh2ps xmJYwkf5Svio6ObMMPN2ngvJvQngTpwgiC5QMxFEJ6iZCKIT1EwE0QlqJoLoBDUTQXTCaaZ1 mfg0xcfMNv0U8RY+4+e6ePEvfNX/GgmvmfwgV75A8MuIoRM5PuGnbiQ7ZLVJjNdQVjNtnDFP +kGDJjCM6qeIa8bHsLE5bP6N8Xma+WiHa/qdSe8I/3i9s69Hxkdp6sxEKbyUYfwsaybphd9M kMuAXiSaCRIWSQQBq2sC7pZQ8uwJyF3IFH9u5JDm7XmDDrC20iMsxHH1cEn5qane6fW8oC26 uOE7Nc2kr6jJtZ73IlpdchduOkYPkZsC3l8887Go5/LjnJjIK2fi3aPtWnG/HjanflbOCUCh mw0meh2LUttMFk3XvOu8CKtLBtrjOqCCbgpYAgVeK1whCZPc06qWh/RA+VmhsZzXbgqYI94k Uj9ZeIlxIkq0mQRt1+5rvPCaSXdtMsgS0e2A4XtauGIBKoyuJSgQQGsSVX4gPXTTuHHm/DRU aBy8t9j5nQHPNZ5MgDwZ/GZ+1gunmZLXAWEUW7UxVQFD7oVm7eBE2ne5zDgnslZyZx9bD+Dc T/23BD+nIbzWufmlgefam8k9mcbw4qiuZNHYi5WIbgLGipwCt2ascWIjh2ueNmkRxSeGCkHE s/9/XD1wfhpK8lDc2kx+Hjo3d63nvdDVpSb1C+8YJnl4rixg9/sKI1B0BJmVG92KE5/Z/aIv 6qPqgfXTUKHxzdc8dcoeOYTrPO9Ffqt2KA8Y1jeC1HF/M+H5ih4Vc8rTwSpE/3Mn8Fo978Ut zaQWje0mGL7XTOPpUTcnFKK5fsHJEbtStnJ1M/X0oqiZZGLyyLN3IBWM/0vI8SwspoKXn0t+ MdF3Y3PM1iV8HZ/QIztnPB+Flccl5qj5MU06gheFJ1OajTErCeJrerw5n7ti79BM+N3jP/ia Hm/O597Yu51MBPHvUDMRRBc4/wE3KBOoO9anoQAAAABJRU5ErkJggg==</item> <item item-id="36">iVBORw0KGgoAAAANSUhEUgAAADgAAAAVCAYAAAATtC32AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADXSURBVFhH7ZbRDYQgDEA7VwdiHqZh GYbpFdAIWOFy9o7D8JIm4gftawoK9HCW4OwswdmpBB0ZADJuW34Rb5GAc4XQy+fJIu+Jlp8S YwSdYTHD2eJCKWfaJzbtWvAXpC4XQkE4K+oOcTKGCnpLCEg2t5HefUhHsD0u+5npRZNiPHf0 jkZD8JjhhwoycVR0El0iCSrmHS849Ax2BKVxlKLN+Rati7rDHwgyxWdB7/wFnOEaZMHjkgGl cWkRO73lk+Xqv5LzX0pJXn+I5PBGu+dmCc7OEpwbohfXPRiS52xcDQAAAABJRU5ErkJg gg==</item> <item item-id="37">iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADPSURBVDhP7ZPbEQIxCEWpKwVRT6pJ MykGeUw2L8jq6P55ZtYPJQcuWYEe4C/9PYG0EALyp1FzIgBYnkS5znWNXVqQD4yFcnAV8pMy Vfm5ZkraQIuVRep0LmWbRBqn0aLifm6SFoS5OKDgPJmgK0LTDlKZci/e4boWfWSYtku3XQas 0S9s9zLsJbUbvpd60Q2TSsMPpUF0xZG+FT+MLjjx7cvzRcXRGfeimPMrdYoevlLC/bQ+cq6v bpEyzt/uTN9lY5cqc+cYvy6QfscDUqIX+iJHL61yjXAAAAAASUVORK5CYII=</item> <item item-id="38">iVBORw0KGgoAAAANSUhEUgAAAKMAAAAYCAYAAACWYU02AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKuSURBVGhD7ZeNkYQgDIWty4Ksh2ps xmI4EsIKGJQ/V9zLN8PM7cma5PEI7KQFYRDEjMIwiBmFYRAzCsMgZhSGQcwoDENgxnWZ9DTx Y1YbzRJy+Rk91yXKf9ErPepJZMY4yKoXCL7cEfr3+Qk9yYh+ynaT9TekZ8ZNKxVJd1PQ/8Go epq85vwcNjUfN8+m9DzNundzT98ZaUe88Xj2j0enI4o6K7MUDzGMnmVmRC1jM0ItN2iZMCMk bJI4BLTHTN4pUzLXJELmuRpXoHifvKEO2MG2nqMR7qsnJKUnUd1p6L2gTbY54Ds1ZqQrRjJW u5bs6mIXaWrDu0i5i+fMdjXO4YpctTJ3t7Zjpbwen1M9Pz8OyvMDo7gNxh6nLLVm9Gg6ptNa HlcXA/U4TmzQmsWrJiFS2C1rqawnS0/YRIWLi+/1TQXv4E2G9aPhE+OkKNaMhrZrD69lZEZy bTJIiWh+QNuxsPBmU5xwWCCAamIF71gPmS6Mc6WnoyQP4nBv8/M7A+Y1dkYAO3q8GRq1xGdE 8jgxQquVhK0KCLmff++zSy/GOYwgyc50bz3AuZ70N1JuxuOxHOaXBua1mzHsjH203Fc3uWi+ 8DXuzxOJMx43rgjFI5EWs/hm2LRNDZ/n99WTp6djcDPGdVBtYax2LWl17T/jhd+HSx7mlQUM v/8dnIA43O5lfyjcVU+uno5yM2I9XzymbZffazjGadfyutUElAeEpFOt/nlGqafCjNidPFPF nzuRX2u7ll8xoxWb201PM0o9FWY0wEK64xM6F3claOVuM/paFpkRE4taq3tZ/ItxnwsJ2uD4 OZr3JEPUQ/cv+27O4Hw+Fi+PfjvDw74/x+RdtKTnzWxKeUm8n9HqebO+ubl3MGP+7nkHo9Xz Zn3Lcu/WGQWhFTGjMAha/wHj+u1H0mlsygAAAABJRU5ErkJggg==</item> <item item-id="39">iVBORw0KGgoAAAANSUhEUgAAACAAAAAWCAYAAAChWZ5EAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEDSURBVEhL7ZThDcQgCIWdy4GYh2lc xmE4UfGA2rvatLkf15eYprHgB48a6Md6AB6APwBIQCEEtYBS32LdC9APB3ViAgtxK0DGSEGf zspIMUTC3F43AI2wLYmtiSJSjzmsmssDcFdULgNQA8ZmJoxMys9AUZAX9AZIBDIDrhAF0D6y wIkQwLRsRdMO7FrgNkS2K2uaAhRpSx2A/UWaDfMkR7QHUDbGn+AscB2oUOf8Z611oMgGSPVY 5kAsKJAL3aj5fAG9KEljAFgSZCZ23GazYZQJ9/b1XOWkWrHkLEvXsAE4q4wwH+AvHbsIgO3a 78AnXQAgF1Z/HTp2gV1mwVn9GIDoBQWtIr+UpuN0AAAAAElFTkSuQmCC</item> <item item-id="40">iVBORw0KGgoAAAANSUhEUgAAAP0AAAAYCAYAAAAxvPvNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMmSURBVHhe7ZiNcYQgEIWty4Koh2ps xmIIy48Cgi4CJ4T9ZphJLney7y0PuCyCIIipoNATxGRQ6AliMij0BDEZFHqCmAwKPUFMxtyh 35hYllXw3fxOdMIm2LLI3sQG9auUqUO/Mb2QVlpFXbLzVSwrF2d3dsFXCn4pE4ceThMmGATf W1hEOyC0TDqP4xp6yc7FSht1EZfQ29MPBjPdiZo/OKBJLZzOrvj/2/8KoTdX/69DP3KfvNAr IUfR0CAIg75SxU221y33cxh046xZT1hznwYeqw1+Ti2ivBqTqJMJt6n06n+SDG0aqLcs9Oo1 b84R+iTJ9gpoo81JSmyCTXDGksWCeCtSNQNV3blQsWLcYN8NNHC6O5PrXdtdjPk1RlG3CHgO ptn9+h8lS5sF5s4MvZrDHeP16b1XbbSdSUnsRP6u5qDe7zYAzMA2VAsqElMAaPLmNsb49dSq EXxBNHtI/5+16Q31ZtwUkT7p3RO18z4dIJ/v0UZbEPpw0ehJo42BoHgicwp03wsFmQVwa1ol lE4zXzi84mvVmGi2rcPOOaT/CW1JYF7sxgSWXEN/eHJ41VhLaZ8Ocr0C2mgLrvdBUUZw7HvK 9TrpFviE/96N3ZuhhCIGBqg7pkefSG4z82pMg212v/6nwWqzwLyloYd6oVd23r77dJLrFdBG m5cUZeaxavSEC+Py+4o1Xn7Y/L3OosN9Jhbw2HgkuksbLo3LqzENvtm9+p8mdyHDfGWhV69B vwOfeu3TSa5XQBttl6ToXdQMa3jsHxEVrpf6mfhFUIQJ9UUH4P1NDqUrXaPnUTgKm/21/y21 6Xkx/YbnRua3w6uj8z4d5HoFtNGGuxPHCE/Nu1P0wrlAVfGXInugVo1vmo2gC/8bactiFC3v Q19b2/vQS6AQex2Ga9f9dxqXU4wuyP7cE7VqbLeYvve/nTY8o2h58/w22opCb4uKXykAXah/ DZWvwq4Fr6tCnGcE7/uSKjUGXxveNeyOD/1vrg3HEFoen//bPhWGHsfOuZRFfAX5Pwa/6lPj 0OvdCX/tJOpC/o/Bb/v0k5OeIIh+oNATxFQI8QfSGKy4komDyQAAAABJRU5ErkJggg==</item> <item item-id="41">iVBORw0KGgoAAAANSUhEUgAAAS4AAAAYCAYAAABEFBBHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOxSURBVHhe7ZoNkqQgDIU9lwfyPJ6m L9OHYUgA5VeDwhjsfFvUbM+4kLxHAk7tpARBEAZDGpcgCMMhjUsQhOGQxiUIwnBI4xIEYTik cQmCMBxp4/osapombyzqY3/0KjDPWa1f+5kDv6J9kY9agvz9wcSrn/coItZjXtVX/1kX+NqP sHHZIBbPic/yTnNMXpOauXSuH9L+jO862wJw6EKYQYuHm5d4FGByjzz5rmqGBtZZk6Bx4Ybx XQEwEGY3k9vAyb6oBYQPCuQ53q09NB76Rk4bl8YWxJMHjXi0g1pETXzH1Bd1risEjQs7aBwJ nDJMirsVIDoWAJ6gPDbdu7Vv0LiwGJ5tXOKRw77SH+T9XdcnGpf3u4ZicO76fpxAipk736lT cH7CoANxu2ZVKoa6GItUnMYctS9Sfcu437jMCe+vyd0jzaXb2AAe4dzUQ6RPPuc3roIA8KwL HDcVKbK94KiJ4OYgDDJwQnqLY87BtbY+xix4m4N5aovC42Hts1TmZbjQuHANf4zl0XWd/j8v Q4VHdv7zxtUvn/PGpUlOQDTLTxK6KnVjmmRuJXIDyDFY24oSxtMqRtDlRlFoeGp/nhfmg5ut MA6CSHLWuGa2Fwtjjzboc+8M4BG5cQF98iE1LhOoVxzwOTCqJjj/WQjGipQ1vjFY9Ha9eATB t4qxsHlcHN6aY2lfyKsIrEttriBPrhGY2HctGHu0UasTMIJHNq6cFgl98rl048LPwXN+cGeE z36WY3ExScKgAHHnTglz8vim1cVYhr55OGpfpmdRpDk7jE9uXb4e7dTqBIzhUehFCmhicuiT T9q4dBMIituePL5fbYqH9m/iBlUapySvWB42x/Q1pCavHJVFEcSgeVj7Mn2LItcI8Hvg9Rb0 /+dC9WinVidgDI9cnKBHHCPo1LuWsjeubZPYkSzW4HXFzF0j1A3s5jJrRmYGP9MD8yrH6DZv dqRC1RXFg9r3yssA61K8hnkz67sRxMHYo41anQDuHoXEWsAIQ+mTD+lVMQGL3Qsi/nyISQSW Ia/377SKsb4oTmGh/ZWCbA1jjzau6PQmj4A++VxrXBp41l0HoesG1+dD9kRMMO7vnGgVI33z jKU9Pa9+8PbIcEWnN3kE9MnHa1xmgdoiyF/rABNk/LsKNB++j0F4c0TPPUmTGKNX0GOzBtK+ Kq9+sPfodO73ewT0yofwW+179P6v/0IZ0Z4/4tE1OjauyhNKaIhozx/x6A7db1yCIAitkcYl CMJgKPUHeQOOiU7RIIIAAAAASUVORK5CYII=</item> <item item-id="42">iVBORw0KGgoAAAANSUhEUgAAAPsAAAAYCAYAAAA8oouKAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMmSURBVHhe7ZlrkqQgEIQ9lwfyPJzG X3sTD8NSlKigPIqX9FhfBLHTTiuVWaTi7CQZhvkEHHaG+Qgcdob5CBx2hvkIHHaG+Qgcdob5 CB8J+yqXaZKTbyzr/j3mfSK9moXc9m8yND71ZN/ErBbMopbTCR6DhWQfZ95F9+UW7E2KmfuU y+fDrlkXfmo0hxbU57AzJdzCvi7nlsnsbv+K8d6wK1D3LMWLIv+y9zXCvor3ffjlHllh10KO oqE5sPjh30nOvhRsQs7kkOB7WeqrsjE3NmKEwo6/MzXR6vNC8IbuPf5OaycttP7aEKi3JOyq bvfz8D1SdMiHF2fuS0KeJlilWBZ/sWb7S246LtJUMThHfMQIhd1omcU/cn2PkLyhew8Lzyww rSupWLr3j2T3nRh2PcdlWEHDYyP3KN+nNtrOhHjuQPbd7AkwgSIGQEFFYjIIhd0sLqypVn2J 3lC919+/6oB5UoPUT5uuXy84zwgUofvhPsmtz4P36CDx+hZttDlhdxcMThp+apSKgfP35gdN KycUdlyYRket+jzeaK/V9YyvVO/hrp298Btr8wLzpt6QwBI37GpG65198B4dUH0C2mhztvFO Ubtg7/uIplSMusISPl8LTRgxvGE3W56jabT6/KR6Q/Ne67AWmF1vmN7aDDBvWdgRtXXWk47d oxOqT0AbbVZC9NPtWDE44bQI9V5iTFcn31ZUiRhblA831L4R4ynseAzOvx6n1ecn3RuK93XC 3k8bAvOVhv1ac38do+bDjz33LSG4nd2HMTv4h4Z8MfeQtQJqNPPdx/3O7K/P8scdhY1O9r7C Nh6v2U8bzpvS63CvzpoH79EB1Segjbb44zBKvhioTReftko7Uqu+HG8ScN8fH98nfQyuLZlf 0fFmPuy5Xw87nm9+HoVa9eV4kwYsgut/vYXfG6+Mry2NX9GRc/022srCvv+Bwmwj7gVhoe67 l75b6XOgEBSmPzvfe4sq9UW9KeVS1+PFG3rfXFucn9DxZj4e5q7wZI+zCaFkMW/A3o9Prx41 DjveldK3mEw92Pvx6dujLk92hmHeh8POMJ9Ayv/SNvxokdF1dQAAAABJRU5ErkJggg==</item> <item item-id="43">iVBORw0KGgoAAAANSUhEUgAAASwAAAAYCAYAAABA4cB6AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAO6SURBVHhe7ZhrsqQgDIV7XS7I9biB 2Ya/Zie9GAYItCDPKAF08lVRdb2tkpxjAvoRDMMwD4EbFsMwj4EbFsMwj4EbFsMwj4EbFsMw j4EbFsMwjyFsWPsqPp+PM1axm5+eyS5WL5/TWCfJ7nW6Yyn4tGzia84cwn/vj893Wzw9dBlJ jajLyW9YxhR30n19hzkgsJ/HIfrg/F6sOxbtSdCcvmJbBmrB/jgoL8LcQQ9fIwq8hqUflvOM 300sn0VsQ5e3+8QalsaunANX8DfrLhNBNZt4wxoL+3MAdZTIW9bSQiyI17B0lzwbowp6sgfo CsmGJYHVYdzD92bdLxXEKe99G6sD+2Mxr+1nLTqSaFjO94ScKZdWGbh3bc46hopRItew4Dcb Ey6+JAhtcLrbLXnunBj98wLuNiwZ9/l4an8kHeoiCaU/5m2kLkaafMo7rJQAJnjczuQottpE YI7yKJFrWDaXZfuLji8KUhuM7upcu+3WOVUFitc9ymXPkQ1Lz+GMX3MYk8eMdRGF2B9/YXfQ WkD8eqx/yPIpNyxJuOpZVBfFiKMAc24lcoFcw/KNaBVfvTbVuusHw81BzVHbDPrlpfOxD29s ZIIInzU5n3c8sT8/6u998AB/TAOJf6eC+I9rafKpalgQaKww7hqjrjciRY1vR65hgYE2j1bx JbSxq5Gjc7Xu6vhy8RLnlUTNW9tUlTxhE/C/YU3szw+sRooH+GO1icYE8R860eQzfIe1r/nr dZIVo0SyYZlVIy50Ob409drU6q6PvfP8WPP0zwtQ895rWMAuNj3pvP4c0NdFGlp/tBayXkI5 IH7qOgoblgzG2/KZrhrxS3LHGD+hFLYhlUaJWMOC/6nr3f/j4kuDLAgZR0n3Ng2rX16Amu9u w3Jj7p/HjHWRhtYfuD/o4ccIcYcNq20+0R3WUcixwFyuGwP3xgh1lUPg2Ajfx9Px2Qc3OgKR 6rWp1r3BKyHcu09egJq3xue8T0fME/vzA6uRYnZ/fM5a6BF5NuG3dvlUvRKmuW6MmgY/Xw9a xYcviCJ6VXfMPx9n6Z8XDRP782NkXYz2x0KTz9CGBdfbv2ehVXz12mB0V+faXaFa5cIdYor+ edEwtz/AFY3e4o+FJh+nYcEE1QVg3uHtVi4MBoI8f4/Q5utrVBAwpz6OfrzsT5P4itq4IHU3 5+t7R29MqDsqLxqm92dkXUzgj4Uqn/LX6pt8t01axPSGdZ8b9ucahA0LuTIxjWDd54b9uQP5 DothGKYV3LAYhnkIQvwD9cvIY2wmmWAAAAAASUVORK5CYII=</item> <item item-id="44">iVBORw0KGgoAAAANSUhEUgAAAFEAAAAcCAYAAAAZSVOEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE+SURBVGhD7ZjhDYQgDEaZi4GYh2lY hmF6RU9FRSy0//xe0sS7eFYfbTHnCKiBRAMg0QBINAASDYBEDSlQSJCoIgUHiRpy9OScW+P/ HRgk50TRoxKVZEhsUWbc3qLXKLZOQKIBIxJ5G3cu0LIO9fHngUQT9vb/f34mR/I+svfLcZey St+RLZiJvJXHTVt93OOrEpdWrXaj5o4kZUDiQN7beQ/xzjrPtvO9qDCeqSSm46HVs29Eojxv LaoXfcq9edq9lRHFv5muF6aRMVGYuGj3HavE6wXn8g7TqnwOTTXeJC4y1E8yPhNt8gooEkWb o5yzRHUbbwxKFOZtVVArupg940GV8d5OiefVHCMS5XlbwlrRp9wbn1dXI4s1aefTXztbTLeX XKJtXinrwlnle1s2IAASDYBEAyDRAEhUQ/QDIlu/arRqD6QAAAAASUVORK5CYII=</item> <item item-id="45">iVBORw0KGgoAAAANSUhEUgAAADoAAAAVCAYAAAAXQf3LAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE1SURBVFhH7ZWLEYMgDIaZi4GYh2lY xmHSEFQQAg1cfVT97uh5vsjHH6mCh/CK3o1X9G4MiDowyuBvZLIalFI0zHqhvO84JrAa69EW jwJ9os6gTFb85pyXS2QnC1ppsMtshxBqoIUfE+USCisXU0S8eDJBkD0+WeqyEVFnFOg8Gi4x 5hxNulmN/amLUgvOkS9jLc6nybQg18p0b5ayINVi7sqQ0hB1sZBcgBVCpKLsuS2cFDekCFq3 LIoekopSerxo0fo78lXUf4v591QVFX6j1xPtalFPuevmEwQu1bplMQ6/2/kIrzGbkccvwvrC itAJmxF1Jica2jN7cVIx+/cykz7LpUbXW3H+lLDY0SMEJF+iVqpN/HPtNI+gQxRhN5oWlVY+ gT5RQprQNZJcGBD9Tx4iCvABtmxjZKjTstEAAAAASUVORK5CYII=</item> <item item-id="46">iVBORw0KGgoAAAANSUhEUgAAAEcAAAAuCAYAAAB6SwSNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJ8SURBVGhD7ZnhlYMgDIBZ4PboDG5x S7hHN2Aaft0mDsMRhIqImgQRtH7vee95d7TykYTQCv2wSp4c1Wsheq3cLYtB6k50Wg7uviHY clQvtOiztAQMWnZCd40ZYskBMYd5CRhk15QguhxIpRJmHKXEcyDKUbrPrTG7nPEeOEhyIOzP WNVW0osg58wVbSN68HIK15qYFmoPWg7pYW3/Y7b65IXsacxr1E4tpBzoQ5CTgqbOWjRjeml+ Aow0gdfp/Pg6IOVwakAkhzzR+nUHJ4e1imZyPg9Z4yFaryKHWh3DMcwUUX3dMxdODmenCgvq IydkPEh+hoAcVz8GKdGpck858P9RMbWneLOVU7bn+6bVAZwnB3bGqRfzU33kRLsinOu8IJyc 90uL19vdnMf79aN//9xNKZSMFmCslxAMT+QksPVxJscW0Snv7OWFNCpn8bwrF41ppw3kqGl3 saKC3eab5AQ9WWLkWLlnLpByUg+2de1RI63C91w8oc+3GY1GztHEn3TO5cTp5PmGtDJznDWo Jr2Ckct0UqYOWRrdylMiUtcuNijiceZ37s+f5md2eVM3TqvkvN3ccTF3YzlbPHI2KCgnfZij cFM564c5CteQA10jZWYbhzk8MOYqchgfc4Ykm8tNriIH6keWnOkwhwdqVqIhPRGknMxV5ETe AdGaC1LOmBbUguphFVazCVzk62ADs9eJD3NYchbjKPByODUgXn2TKhL1AvXrDUCQM64mOtQh 0oImcLxwE4Zoq51SAEkOdkW3DnP7tBE1AFGOm3jBYtBCrfGQ5QClJtBKOnlYcoCjBbUmBmDL AUAQtsiuAs2eqUetiQGy5Nwbrf8B6ehFKLgc+d4AAAAASUVORK5CYII=</item> <item item-id="47">iVBORw0KGgoAAAANSUhEUgAAADAAAAAXCAYAAABNq8wJAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEbSURBVFhH7ZSNDYQgDIWZi4GYh2lY hmF6/Q2gxMOox5H4EhIhQPuVVx0srhdgtl6A2VoKIEcPzjkeIcnaOgApYOIBJO8EQSEWAcgQ fak6i4B8fApAApaKXVSO4J2HmHVO0jUFsIA0aKM8kXzLjmYPktd3Pa7GPibNUWcsbhJNLoX2 QAoOvNLwvuY9j0Vnrfm649tdowB1lZs7+bnqC+jwTfYYUQ+Ac9oBoHp+04YpS52melLfe8CE lcVEE/9vC/HeMucALluoE8/sXgHQppI0B9UTVwFuUeMC8T/FVwBJiKrBSZm/aNCh0xay++7t Ey6k5mWx9z3QEwNVyWznEzUGgNr+Ru17toYBii1w/NT8xzoB8J96AWZrcQCAD7T3KwavSnZS AAAAAElFTkSuQmCC</item> <item item-id="48">iVBORw0KGgoAAAANSUhEUgAAADIAAAAuCAYAAABqK0pRAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFUSURBVGhD7ZiNDYQgDEaZi4GYp9Ow jMP0Wn5UUDxzyZmvhpdgjLlLeNCvEh2/hCmCxhRBY4qgMUXQwBaJgZ1zg+GZlvI7AVdkIfYh 6g1TILkqkYMLcj1ioLQ6EV/vWwyIyOTTzgi6S2ZF1hIr92ZFJPC+ptquiOTDO64bkkRK2Bei JvTYIqn9tl0qhtx+110qtCLJeLcChthEioTa2hZRXrEjyk8iOZB9LT/NQKRO7nimQeVUZD/5 3CXur3btKsPxp7q9UVp6UHs2N6cLcDHSf9K1ciHS9200voukZ/dzAlpaJfRP1tWPtCLCQr5Z we8lhdh+DTNFniN3zVrqo7iCi2j+tuzV/J7JYItE6tr+uIuay0h6T9kXyTtir7R69IVt97vW Rgzjo5IZEe1Yo9ar2BDZf9tSpMSok8IXOf0ifzzXQYv0B9h1vOE9MmKKoDFFsGD+AInsisun HRm1AAAAAElFTkSuQmCC</item> <item item-id="49">iVBORw0KGgoAAAANSUhEUgAAACkAAAAVCAYAAADb2McgAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACuSURBVEhL7ZThDcQgCEaZi4GYh2lc xmE4qmdqL7a1yXcXLvElJBJ/+IAg2R+wJFEsSRQBJbMpkxGrnyrBJJMJueAWcSUrWRkl+R4L ideP5VKyXLZ2byHo5+c4l8xqTGzabpK4aJffkKQrbhQPCp4a9/7gvCSSqXGXoh92Esm5ZJHq liDiuGsXd6nP/JeUgsfj7j5SDxbxRarncRO+8QUdHVqThosTjSWJYkliMHsBmHOr44mFG8cA AAAASUVORK5CYII=</item> <item item-id="50">iVBORw0KGgoAAAANSUhEUgAAADIAAAAVCAYAAAAElr0/AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAD5SURBVFhH7ZWBCcQgDEWdKwM5j9O4 jMPkotEaPVsstJg7/BC4QEv/+4mewT/RBtGmDaJNkyAerTFofW6Xir2YXMXTBEhAB+1L6xS9 WELJnYPD19xEgkPQAOIdupB/J+WQydjLIGWaNcWn5e0ApIzqqOK8A0kv988sEQcVLVSQZBbq 6Lwlo7n/AhHP3VATwKjuhhJ9gSOckzNSP9iDaLq92kCHq5WMDiZSktMAEr1KHxUkGReH8mS1 GHbxapE3kAbI3wHSG2x6ARLFht67iS6VAu4CIC9itdp/TLBELXouBisryHUF9Oz1235XFCU8 POy/qA2iTRtElxA/YlgtgwUD2WUAAAAASUVORK5CYII=</item> <item item-id="51">iVBORw0KGgoAAAANSUhEUgAAAEcAAAAXCAYAAABZPlLoAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHySURBVFhH7ZgBjoQgDEU5FwfiPJyG y3gYltKqVVoHmbIkm/2JyYxCaZ+/6IzL/1JlCmeLMSf6PK6UY9zo81qZwdmiz96oKMtY38gG zhZzMC5miyGv5mMAZ8vRB4N2uivl4GOJvk7fwymu8cEeDUL3S93zNZyZ+8PqvacTDtxFl1uD aOeNlEJ2C1urE07pfydBgPMTrQ9w3Iz9rE8EBx3gCoAzGQSC5/jBkoX9RoTD48H1PRYfy8Zo 7lDjn7rmph+fBC18mVOcwGa1LZICJVaTFJzzIfm6IBWewtUBKbhjP6njpN78LTj3dapjS070 FXXpcfYo1eBQED350x2XuTUehwXOEtpHW3ei4KYh0Dsc7p5S+JGUluSduCRpzOUmgFrXVvXE N9LeVnvtAhwaVF7qAn+xG4aD7kt14TNe20bjcPa2+XQ8qsJg9WpwakEQkGeqwaGx7XkQFHwu WO1KA9/BEdqNSQIhHU9C15w3Yf8uzmp/12DyuBBPVimKja/XCG6dD+3U21bNuFkiQ9Dhy8Oj 5ktXmbAVehMCyq/fYu+OUBwyFNtQDRxIqHXCg6Cwgbt7f5RLEI5XiUU64GCfFSu9IgOClnje F2SxVhXXfOfgGXreqXpV3PP/f86DTIuZAHtEZnCwTQz2iME9bIYM4fw15fwDZS5cUjZTlv0A AAAASUVORK5CYII=</item> <item item-id="52">iVBORw0KGgoAAAANSUhEUgAAAEkAAAAVCAYAAAAKP8NQAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAG6SURBVFhH7ZaNjcMgDIWZi4GYh2my TIbhwGBijDHkLv05iSdRNZEx9seD1oStqTakBW1IC9qQFrQhLehBSEdwxsXPotMHa0xw9QUV i/24Uj2jWp+CdLhgBEBGWTjH2ODP8vwxncFbvdZFSDnRLVeoTiqCmC9w1KTWRUhjOx7OBCvZ YQVS1OltMLOgV2sN0mW569hkMPkdHXTnU8zgyNSFaW4hdsFNfQ3ymAk2hM5BKgxS2ngaQzL3 R+pwpakRaX4XUZU5FExenMfrl2ZS05gyVEE9ZJOgdrm/2ndRmzlNtD7igofg8PsAUt4ZHVI7 RwKS34lH9kW6nMIhyRvG8BM3RWA1+GFILZD3QcLjhv1xSOhI3mfnUUhkI6A4auwAUl7oBiR4 11oZIXW5ibD42VDFaxUgpRoySO24gXLRzS/OCBLE8qaLujnlAudJIG4AukgCIg1NvPnmmdXK 704x8+kda1z69csa/gWIQnvjkOIgpqf/ApXNx1qcAzC0PoTW1h0dVzIQxWT18l6R4qap0lzd Rd+gDlKieHtjwa53QeWdfYuJ/qgKqVrs11XfccX/cBBKv+22QBvSVCH8APIMorJFBuZRAAAA AElFTkSuQmCC</item> <item item-id="53">iVBORw0KGgoAAAANSUhEUgAAATgAAAA/CAYAAAB0DdRmAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAd4SURBVHhe7Z3rtasqFEbTwO1j17C7 uE3Yx+7Aavx1O0kxXhagQVwoIBAe3xzDcU4So8BaTMHHzmsFAIBOgeAAiGGZ1tdrWhf9slve 8/r7+l3nt37dGBAcAIEs02t9Td2rzeC9zr+v9bdBy0FwAARAchvKbQbv+bc5yUFwAPhC09JR 7aZpTfAQHABeLOs0wjm3W9pqBwgOAA9oejb44G2npakqBAfALRi9HWmnPSA4AO7o+NybvCL8 shaPurZyLg6CA+CGbq+cvud1oqmm/jdo6imk38I0FYID4BK6B6zdG129EIKbhcCDzjPSDcC/ s2iduoHgALikrfNv7JRzW1z2EqMx+ijsQkob7QLBAXBFIyOVJ7znSY5QwwRHI1sIDoC2IcH5 9/oG+UzBleDEa5qverBM9U/dITgAruj96QWq3zZCJZmLqaxvdSE4AFqnd8E9AIIDoHUgOCcQ HACtA8E5geAAaB0IzgkEB0Dr/P2sr58//QKY/P38s/77n35RKRAcAFdgBOcEIzgAWqchwbFP LzxY7oDgOmW78xs8QD//WD0YwTmB4KpE/YDGfnNjKCLhW/zxjRop30EiYg/BOYHgqoMeENZD 8CjBie8j2RMihDOVes4zMvYQnBMIrlLombsYwYU9jAy8EAIp2abBsYfgnEBwlRInOJre4M9W p0eMrKJG03EMLTiqyzaKTVAnCK5SogRX4q9KFB7N1AEdOMp1lGEFZ+avfqj+6blkCK5SYgRH 38l9caHbP419Q4m23RhVcO9lOdQ5pg/YQHCVEhNckk/OTijLFHMSvANk3QtJZFTBnaB6QXB9 Ei44dXtBzjx/v5fs+6iWBJ3Nl+DYd/qoFrXD0wM2HtWqlHDB0S0GuY9W+SVaLfKcUJkLOBjB EWku7GAEVynyhzlCAiw7YHgww34AZHTBlekswbHvUHDLlOZgAsFVh3Gzp1w8A1SkA0Jweds3 MvadCY5GsKmqM5jgKIG4I4Pr/YagJIfgLngYeym4SuseIzj6ToIpYHJEuQ7n3cTrJ20eLzh1 sInbd1iupRGcFMBFIhecgmRB1i9/+fcpbY2dw0WK2HclONV5a4uhPPdI5TosHgefC4oLLiLX PAV3NbrgzMmsL3f+rEG/RnWCpvatoS0TxT6ofQvXncoW0BPp/NYcfBGrRSgOJftEXK55Cs5t XP7+MH59eRS5TRZV6KdHl6RAcCzJYl+74HxlJUYYVMXgK7VNUlZwsbmmBbdJxRSL+vL1sJbW sStpf89Y37JrO3D1NDHbL+8NwYrQTn4s31E01mdWxzxObTLFPigvQuv+FFEnL1mJ9XS75hVc 6VxzQbG+jwOfPypPVHNt/zfqZRtLrhOXa8YITu3A3PY+x5ZfOJuSjljHpNe41teFOr/vZj8v 5VpCNhbNuW0+0GdG4zvrnhLa531yKayyy5ht5VWffTqJer13TqqL0VHf8/zZZ8rY07a8hRBS 9xTQ/uzOdca89SKf4KyyFMk1B1ZusLD58xHTtJiS0vU65KfmQa4dp6iHRBMrbf93bEjZOXzH pY86ByE6ljv4IbJANv55e6nrGC36K3lwiWPGTv+f23bS2FM5XOUXPDnIsetbyx20/4tdyDqb f534TnCPYsmsX7o/SURZbvfryh8mx/ZV5Ouj4J7kmhVddQSXXxAVOO70vKFWBBeMLr8ZGFnX c4VU0l0kcx78RzFXnY2PnxWjrS249kgUe9qWf05kHsExsZcx5mKvuRLWxdfC+Uqu8bDS59qO yx8zR+x8sV8LnuTa6fClOoSQm5lErg1Rg0fs+Py+mydH76RQnbjkcrVBVgI6+VX55Gd2PBwx stdNGPuw2w0yC46Fyu6/T9WHMojoK7nGEdYeEjN/zByx84XLnwe5xozP1YechfkNMcnpWl++ X0OAYnB1LHpftJeZ0CIgeUepIZ2cj+cky6fLbsTk0DnFeubUiw42n3qlir3YTpAMviE4u+7X ZBPcFq+iuXaG6ue1T1f+mDli5wubP/G5xp6AOP9q1NYRjp2B4APPry8DfyqNzbnTVYNIJr74 WiLbclvHp4R2cqt8h85nxsr6TCfQ/plVrySxD+6goXVPBbWh337zCY4onWs2/u3A549V/n0R AlvM9Y9Ci801fgQXFBwqMGPXEwENUy2iQYv9SEoLPI99qge/S+B3gO4bEs13miAu19hzcMEV kKa+2jnt9FsNkxhR1yZ+z7MUT2LvHBHXy/c6+PchN4SNthMTkWu74OTRiYZ60dE7mvOD6/1v oBpgGxbHVrWFv6JQlojYU7IWNUWa2BMjSu7rctsJyzX2HFyfHM/dbEIfLVHHJH3sSXJVnidO jRw1+V9gqY1xBLeIqeUhRvoEJQzXP4j9sAw0gjsjj8JI8iFB7MdgYMGpozhyfEQQ+1EYV3B0 biHbvUqgahD7YRhWcLgSOi6I/TgMKTi6iobpyZgg9mMxnuDsR4PEdAU37g4CYj8cYwlOJPh2 o+dnGeBeJoDYD8owgttu7jwtmK90D2I/LsNeZAAA9A8EBwDoFggOANAtEBwAoFsgOABAp6zr /50idZoGV9yVAAAAAElFTkSuQmCC</item> <item item-id="54">iVBORw0KGgoAAAANSUhEUgAAAFEAAAAXCAYAAABzjqNHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHZSURBVFhH7ZgBroMgDIY5FwfiPJyG y3AYHi3oipQ9gaIu25+YGGW1/fjbuanw07REIXprg8vn43LBWp/PP0NiEL3VQQsVLxnrCslA 9DYY4aK9NeFTOApA9MFqI9DGR7lgtI3Rn695iNGF2sgjTJujL3YjPFMF1bl50xBXzq9rZ2N0 vooA4VgDMe1QbbjWdSE5013QrGDjFkFMu1TDgusLWw4gqhXztq0JiHkWoJ23pIm9i4MUBfOQ hUjjwf0tFl1L1rSSbsZfp0kn1q3pTC4Ai2Gc+E+RNCFnSkc5o/Z5h+u4mXASIsQqN/pwdMyb +XYuZlB0z3begojt9q7Il9uKz2I8ChWcyrRt67kLNQ8xF41JR0B78q1izjiFW1N9YdRdgDoT X1gCELcgESB9gR6GmNzsICZxWt2+cxCf1c6o/CVAH9yCmNfyOQKYFzgsNC/sg8i0+UJhnvMQ Iffj79ZUZNpZWlSjeLIe7+VNwM9DgmfbuVq3Utk8+3F+jPBO7EgcXNX9q+LosIbjhmLfIHYm 1s56IwAw4JbjKw4Ha3/Ferh2iDinwMZdBEHQiiNzi4wI9pl9HXGn2JnYrejG3/+JAhItesGm rJQYxNSeAjNscMbeKUGI36oQ/gCgAUHW0m0mjgAAAABJRU5ErkJggg==</item> <item item-id="55">iVBORw0KGgoAAAANSUhEUgAAAEoAAAAVCAYAAADhCHhTAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGfSURBVFhH7ZYBrgQRDIady4Gcx2lc Zg7jVRlTlKm3VrKJL7HZnRTt769Z5Q8ijlBCjlBCjlBCjlBCFgrlvFEGPhOX9Vopb/IDShW7 jbCv8ioNPjeeNUI5Axu3Ig2TwRjt7ZV+f53LW/3keFk9JZZQqLDJpDuGjkpgzCZnOVsdSqxJ CZUSChUty63pjPKas4VEKABPVpjsakLuk0IldaGwp4XKfn4GdUCI6bRPFoquzcTudFXBqEta iKPaic6kwnruqO8mSppDxcETbOL7bqXEuYMhrfgm5KctVC2jbL1QeJ4MBdzfO0LFC3EsVDmH EyU+Y9v3i2QTCKnuKOIqEC0XtFioUpT9QoW861reaC5zLB5eo4a8SntCoQNnhMJn9UlyLmtZ 1nqQc3EokJMVTG2EuhMvNu4JhbEdCzdz0qVeL4JxHbFXgwdLxMUh25sRKuRuquLpm6tcuPv3 AIit+STFxWGM1A0fUOeSh3Bv3lETb4Ohq14Jcze56UPYO2r6gNm7543Y4hvMtIQsVLbmvzOf ccfvOOmGvaMOLUcoEd7/AVUNmBqLt+GDAAAAAElFTkSuQmCC</item> <item item-id="56">iVBORw0KGgoAAAANSUhEUgAAAD8AAAAVCAYAAADxaDaPAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFBSURBVFhH7ZWJDcMgDEWZi4GYh2lY JsNQH6FxKHGARjlEvkTVKuDy/G3HxIH1wo+qF35UzfBT9NZEYwrLBd5SVIjOOPjUVLPnDM2M 1sM31tr54ADYRp+e0u/1ga/oWSXU5KOVcU8XGjCbWQ0PCg4P5RfvcJMScG0FTN62wdMByJis fkyI7bCRYqlthEoteHyiDoBH1/NKkDMDn6Uyy/Zd7H4bPF0WIGTPK70ugwdX2sNJ2TVfiNtO WQ3BKuCz4BIcxJWw5d5SAeU7MXxPyxyhNucL0uFB6mR/ODzv2YIHOAgeNhN0+7LfgSeA0h4s +QWYLp1f7OKBR3f6hZfTel5KRn9fdVmvp0GJS/wZZX7XqRTryCRxxS18bN7a+Wptua8Jz1zn ekmd8CB1sOVq7/Uz1A9PqnHzfo4n/Qn/bA0MH+MHtT8frTz0fVEAAAAASUVORK5CYII=</item> <item item-id="57">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAcCAYAAAD2izi6AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAG2SURBVGhD7ZaLkYMgEIapy4Ko40qg GpqxGG53QeX9EHOMuf1mmGhCEvj4WRGGmYIFTsICJ2GBk7DASVjgJCxwEhbYxW7UJowQ2Daj dm2ku2aBA2gJ0jYFOvEaRXICB7mSKLV9518LpETRVsy0w1DMrswGn7PAW0Dtwy2sJUiWcHcK 9Itkrtn9noLF1P5QmZ4+byCcx1EPwwSS2VTWrmQq0FuFJhT70iK8gaj2uW1M4bIdHAWBKTdS RX/6DUkMaQgE8yqdMsZ3uxGnXcG5qVScT47VfofshkBIWjJhTF+cUr+G4mfY57h2XZBlKQxr /J3FL5EReP0RtVhgpfZRws6DZq6PFdsMoUf1qIGtK9HeQkbHkFmGE0iSiim6Vjo/QCvwyQQ0 yYXiwTEM18C6QKD6xF0k0O2KT9AQmIH6lASCIBisLkpesIWr451nXCBJyPXB7XsNlCYeT27J Q8SVFT+FMM+Ht/BVu3pWNj3GRLXPFWr6HW/g644xNvk9cxslTGA3pRTWwO/8dfo+zylQ/IQu W/f1h0XMeO17C2QF5fiCeu4tPan6zuQdnALvvDLgwpeB1yP3jDG//HLokx8UGbAAAAAASUVO RK5CYII=</item> <item item-id="58">iVBORw0KGgoAAAANSUhEUgAAAHgAAAA7CAYAAACwqE4QAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAM7SURBVHhe7ZoBlqsgDEVdzyzBBbke V+NmXIwDAaZIAoLaFjPvnuOfP9OKkJsA2g4bUA0EKweClQPByoFg5UCwciBYORCsHAhWDgTf wrJNw7BNi/+1IyBYORCsHAi+BTtFj9u8+l87AoIvs27zOGwDBGsGFawcCNbDOm8juyWCYB0s k1lr7XoLwXpBBSsHgvWxTG5ajg8ueDL/9gcEH0Byx9nc7Ua/B8G+mrnwfoDgEiQwmXrFKbpf ILjAOo+mOpOpF4IVQbdFCis43lTsByJsJm4ZcK+bFNsvG4eob6fHG55Z547cLrwmNvn3MMFW 7uivtNtgUDYLjdyV0dROj7caQTI/To1ZmhUM6zzxsediLpGJXyLYDYZ3vCaLboA6+YHrfJOM YM6JmAvx2wvOVGNc1e+GNjaHpRGmuwcmAxNsxjLzUZyNeRq/P8FuxxhPQaETNpMKGZdJCk68 Btn2wtSXtK29iplgEwcWPCnm5+J3XMGldcC/3170WLCDEsmv68sktes6XtueJd4UikdLY++G 4nnQv0LMW+N3KNhVdkawRUqKIq9MlM9xHfzUkvBxKiq4HPO2+H1BsIHOSaegwH8TzNfgupjX xe/aFG1pFmw6YKaYJTsI18GWhLk6RYvn3HQwmGCBYszb4ncsmE4odKhJsJ1eXp0iMemJ1F4h oZ5OjeBszNvj9xJMF46yLzqxuGXPJoVtJxaVrB3+PLpWeJhCfzaZmXaaEdrqORH2lRSPX4px Co/5ufgJc4hEoYrpQvJr4tOZIvY6iqu3iULMs/D4VQo25ETS3yUp++nkmDTjQal4OHL86gUT UYZEUzqXYuW2ZB/PvOdjx9RagRI1scm/p1EwqCOsl3cIvgYEv427KvgaEPw2IFg5EPws/H1n /S4fgp9D8Y4hBwQ/C1Swck4J/v69PQQXkD6lmpb4mbKtUCsy/N+c5BPBvde1800gOAPJjR7i B9lBGj3U96/L36zoAwiWkJ4Bsyk6+XSnUyBYQPxGhbQGS4nQGRAsIX0ozwSbtbf4zYo+gGCR sHGKxO0E7z8KpfW503kagrMEyfwYf9xPcurF02vRpqwXIFg5EKwcCFYOBCsHglWzbb94fEs4 po4mHQAAAABJRU5ErkJggg==</item> <item item-id="59">iVBORw0KGgoAAAANSUhEUgAAAFIAAAAVCAYAAADVcblPAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFFSURBVFhH7ZXbEYQgDEWpi4Ksh2ps xmKyPISF8DKYYfzImfFDct3FQ0AFAgsikgkRyYSIZEJEMpFEnocCpbJLG7hCoRjXxo+S83u5 wOhsTojL6DS/47wHM1bqZUdeBnT1cJhU6wfJ+S2ccNwv2RTpF/qwKX/js8VcF+tTka7zulKo +Y34rqlENhbZiUm59fpA5IPOouYrwjP/FeajKdLPV0Nx2uRjL+odkQ+lUPMbaYostmUk274v 6k2R8SCdfiio+QnVBwxfhJX6hEj3UHypoRxqfiOPRWbv8KY+/NhM5VDzG/nIGXnfW4ZyqPkJ 8dnulf/RhKZIe4fP8jK3Xp+KdHTlUPMb8XOoRFrc9kzj2fkXWawnkVU3oDCuGWI+1DBhhesD /A34/9FWtPguuuu4CRwr9bIjhWVEJBMikgkRyYSIZAHgByd1XuV+QR4TAAAAAElFTkSuQmCC</item> <item item-id="60">iVBORw0KGgoAAAANSUhEUgAAADwAAAAVCAYAAAAaX42MAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEPSURBVFhH7ZbtDcQgCIady4Gcx2lc psNwwGHFfqS5ylnT9k38oY3AI6B18DC9wHfXC3x3rYGnCN45CEnmnTRFDw790rDxnSCIPW1z DOAUMKiAIfKEA23zP0H02V45TLI5QElTcAtAOgAf8ctJpQix2vz14dDJCWDZPGekUVxRvg5w a61RKewB9y7pqpyzLMpaq1RRDSywv1wcfHKyZ3McGeoBTFzSImNm2DiGFEp7XA/M/v7Xw3RD a5Zm4OaSVv2Vxc9Iyy2dhdXj9akh2/UZJlXPkFH/cqssE4Br8rnoENj4WRId/2mJ3/lglvMi basaaHgH2PYNHEk7wLbZG0kFWNV81/7trHWGb66HAQN8AEA6hW6HDrb8AAAAAElFTkSuQmCC</item> <item item-id="61">iVBORw0KGgoAAAANSUhEUgAAAE8AAAAvCAYAAACiwJfcAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHrSURBVGhD7ZmJrYQgEECpi4Ksh2po xmL43JeAg/ATYOclbsLuROQ5A+gSgXwG5Q2A8gZAeQOgvAHWlXczQQkRF7ftBVlTnhVHUN5H MPMGQHkDeHm3YNSUMCFUsNv+PoX83Fxcj36iGMpkK7C8vHgg/FLtS8xOxptRL4Zf6flVn9Re gI6LSmGzsjWZUSplI7ZxNOs/ZFcSpq8hlqn6D+0t5blMmIruL5sW+JWVqpHsrmkveaUBTkHe FCmJq7KMMisv043l2dJKBjMDdd4gTJe/7WNfeRJ98VKgO+aXq70h7ibZG6b7U+W6bdmugJYZ LRhZG+W9kG9V4uzP5NW3Ar9LKO18vo3kGXG+/pFX0sx7rHBIi0F5LqWjSfWHqMir1zkSKMrz D+Nqn9Oxox97vtyPdtnq9n88DtUpSl/w0NeqPx1FebiA1JgqD8tWDhIzD0YkL2yS9SLBjTjf Ls57uFVBPoLyBthS3mNhcu/c9L40fO/egPTGQ9k384qLWfqyMqE3HsBR8lSGVUX0xgM4RB4g g3rjARwgDyiiNx7A9vLAk31vPIAjytatpk0hvfEAjlkwXoX0xgM4Rp6iKaQ3HsBR8hRVIb3x ALaU5wbsD/+vfvxyI/zGOuOhGvfNvAVAeQOgvAFQ3gAo7zNC/AG5ib92PBRmPQAAAABJRU5E rkJggg==</item> <item item-id="62">iVBORw0KGgoAAAANSUhEUgAAAIYAAAAcCAYAAACkhMe0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJxSURBVGhD7ZgBkoMgDEU9lwfyPJ7G y3gYloQUAwQIrWW33bwZZqoiJOEnYBdnGAImDEPEhGGImDAMERPGt3NsblmW0LaDbvYxYXw1 h9uiGPxvLw6tNkwY38x5upN+AsdmwjAyzn21rcTgnG5f7Yxh1Dh3t3pxrDvfXOqYMD4MOCfE r4y8dSrCyHZiwvhPwKfrc8IY+6S5F9oL1z05SVeh0ihlC2YGf4ZtdbyK8j6Sv0lmviUgbX97 9o0D86UxaMGEEURxnyEjXHNrhZEv/mUzG4s3Pi7+6bP5nnhRJAOKgvXH61uD0vG3Y5+WNEZ6 UQBpxaAsnC+MADqiEoYPVs3I46CAMnygr0NXyNTkdViIOG94nhzSkuf3Ifvbs28OnykMzKiQ CRpbj41lC/qYZU9yryzxYJd8modsfmQ2A8ZT+CH627VvDhVhUHAg+BNVohMGs+3Rmjb6xeNj oqjyxczKNcUhjJu9X5CJQykKQPRXY98ERGHE/QiNbCu1+fkEbcAbdcWIXCKpTuN9KLYFTeCx H4wtVIQCEseAKICPE0Y0AK/nlbBxYQRah8NkGwGkwOd+o+CgT1gQtTgGbVcLo7Dv/SiEMc+g Z4WBwRSNFBZLEnt2D4TGq0z+lVJyY8VQ2DeDl4Xxu1sJ4YUh6yLbRpCw/fD+6bxS2aaFp6uU 7NmAOGR/e/bN4U9VjH5mCjQWothGHkCFie/kQqBzCx8z6c+pCEYpjqq/TfvmwIQRDAiZ7gN6 BFHE656XL8HnzufLForEGvtWF8CP2VgczEIaoww6zdmd41la/gba9r2ftGIYBmHCMERMGIaI CcMQMWEYAs79AC4Of1SRr8NWAAAAAElFTkSuQmCC</item> <item item-id="63">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAVCAYAAADRhGlyAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFISURBVFhH7ZdbFoUgCEUdlwNqPI6m yTQYbj6oNDQMu/5w1vIjJYMNPjKgEkkBCqUAhVKAQilAoQqAKyzGwLKmx4nanAWz++Kb1J91 ifMczTrY4kDWb13o7bK/ANzA2TgwHWBwdNnTGR7GJHVzYG/zxJjJuZn2eQWSL/1bRFAeKFbB WxGx+Uqrxsq0HwAQKxcrRqjgg4W0mqKovl5lsTUqD8W0bwLM9oLm1wYqW76oAcv4iI0Bz4tp /wCwP+u3DbhsT55/DBD9wAOjKqZ9BeDE05gCWCT2lS5zYJKbEJn2JECkPgVg8OHrPZABkWlf XcLxHjZhCRMbdvDlo1PY+0RCZNozDpFBp2uPsmvLl/fABkSm/QkwvRCqJFXe9W+gDjJWzGjQ z38i6bsH6PL5FAZ9tCI55ZjrsQ/9qtdSgEIpQKEUoFAKUCSAH8bQKNE9y2uwAAAAAElFTkSu QmCC</item> <item item-id="64">iVBORw0KGgoAAAANSUhEUgAAAF4AAAAXCAYAAACChfjKAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGsSURBVGhD7ZaBrYUgDEWZi4GYx2lY xmH4FFopClqUJyafm5CItNgeWqJyU0M0wQ/SBD9IE/wgTfCDNMGLZZ1RyhmLU7HKfhO8SKtb tHKqGXyEXvL7x+ABpvFohFoXp+9UfMXvR+CpQhoSe12fAJ9aSSntlpVaBJ5h/e791kNXsYGY jV78TKJn4K2hmPw4A7P5sRi9fVbx66K3wK2hoJLDXfBZkKUh2LgcWxTsr/EUgp0o0Kfg+cGf CP22QrEmPO+umhrk+P4u+D6qxBYS4wChI8pAHxXABr6x+3cHFucH8F64kJ8mB0+t7oe4rTup FBtUUBaHtEjArr3i6ZCK+5MNX8R3OXhvg1OUh+qTsNCuWdXkyYjbDNXjqqnFdrxafgse9g3f PBRnRdfg80ACrGSNyUiT6q16bCPAg2IxCfzPwcdgofqCAS3CCG2c1mW/iGTfkFhVF7G9cdXw b2Klx6qnd7V92LUMfpbtgxYXSsnknfABBSgs8f38o2oGT6f4JfZQDPx3kp6/LBH4eJ9hu6yp 9V//q6mKxfSlijiRsOKnemuCH6QJfpAm+CFy7g+w64ibU+zakQAAAABJRU5ErkJggg==</item> <item item-id="65">iVBORw0KGgoAAAANSUhEUgAAAHwAAAA7CAYAAAC5Q+5qAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANbSURBVHhe7ZoLmqsgDEa7nrsEF+R6 XI2b6WK8EEB5BArUOmj+833OTNsRNScJPvragCggXBgQLgwIFwaECwPChQHhwoBwYUC4MCD8 J6zb/Hpt82pfDgSECwPChQHhP0G39Glb3vblQED46by3ZXptLwiXBCpcGBD+XN7LNiWXYBD+ TNZZzdV6voZwOaDChQHhz2edTRv3l1T4rH6OB4Q3QrKnRV1te6+dcFvtaQKMA4S3QEKjVs22 9HGB8Abey6SqN2rVEP5g6DJMdIUzJyenBGDUkx69X3qO9vat+3jdPXdmKQ5WE5v8//QLp2xn Bj0r42mcES9tnPR06TrmuGu4mzneieFOLuYcmfh1Cr+oAmmnL9jOX8JME+bMP5bVEXMmfl3C 9Q5NF5UenSh9LB3XHm+YHIxwc3IYdozemMfxC4Xv7difX7hMS1vFzj6GfZ0l3oZrldHYT6/y KuFczPvidwh3c0e0kmkvXsBL84iVHe5sGTo4O1+tMzeuOZDa8TTuZkh2aRns18TCXQz9ObwQ 89b4ZSrcvtZE75nsywjXcGMUOTKVX8fs8FVTyOUEhWaX6IStHPO2+H0WHq1wvnAFrRO3LIcE 4bljN9TFvC5+1cL390otXdMsXI2vMnrNHlS0/Qq+bensOictCRXCyzFvix8r3A8IBS9oMXqA wg42Cdft6NhJ2la8Io1XSLC7UyM8G/P2+LHCp0lni8nIeD7R6IGzLZYVbrIszMBo7rHrxduk dvYxe9xYIydGWGn+8e9L4TjTmPfFr6KlcxSqnMbgP3sv84dMjtHbeXB1N1GIeZY0fp3CFTmx 9D4nKWw/n4krApSKKYWP3yHcynbtpS7QXgbRXJRbV8tuyc40M++PPqbWCuWoiU3+f8IKBz/C zbdnCP8OCL+Msyr8OyD8MiBcGBB+b1quaAgIvy/FK5IcEH5vUOHC6BL+9/cWILwBejhhW/nR 0v174rqCtVj3t1rJu6FVnxy/A8IrIdneQwkn30mkhxT2c/6bJ2MA4TVQlUbzb9LSo6dXgwLh FbDfOOHmcC4xBgPCa+C+pJAIV3O3aun5b56MAYRX4U7EPJGB8PDRL83vg/Z1CK/GSU+X6Z/5 TY5tItBn3kneKEC4MCBcGBAuDAgXBoSLYtv+AxEtz+9svk72AAAAAElFTkSuQmCC</item> <item item-id="66">iVBORw0KGgoAAAANSUhEUgAAAGMAAAAXCAYAAAAfiPFCAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHHSURBVGhD7ZaLkcQgCIZTlwWlnlRj M1uMh/jEKJrE3ThzfDPOnEoA+ZXbzQjLIGIshIixECLGQogYCyFisGizb5vZtZ82+BzKbGBn R8/WUfcrYjT5mEMNFFjvYLNDeXEyIJ6zqfn9Z2LYAofCDfA5jGKL6wQj+1YcdcAOQ8OviMHR EwP3lTnyytfWSngx0pPc0FF4SrnTzKajvPPTH23m5pN4JobeQ04w7CJpUYGBVhX9ZmeAD0hF 8B+RP5jeaRCbiPKVQDsmWky4M3rMyifxVIzixj8UI14u9ANncLuBpBRxhh/nQW3AC4e6zfN8 yG2uDa5qUYxGgWtiFAJWKW1wfhID8BunG0BagSsSG3AWU/O59zKCcCf/tdzKteAj/9ivUTHA xk89cAPgkBp/N6ekz22APzy5eczoMyefxD0xrF+MWRa+EjdvrU36YtBE8Xl763fEmJdPgvrs UhTNtbzie/JKG+2shBfDHcYWCA3Cph020M/b1LfyuSBGHtO/CPc6wlryk6/3c3CCRb86i+Mt eDCx7BDl/Nesls8kxsQAyp+S4e+3WC2fGQyLAUeOrYP267dYLZ/nXBBD+DYixkKIGAshYiyD MX+phc467Z/1vwAAAABJRU5ErkJggg==</item> <item item-id="67">iVBORw0KGgoAAAANSUhEUgAAAF8AAAAXCAYAAABtR5P0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGkSURBVGhD7ZaBscMgCIady4GcJ9O4 TIbxiUKiVCF9udSk9b/jrhYt8ElITZgapgl/oCb8gZrwB2rCH6ga/roEa0xwHtc/JR+cWLvm l9Q+u8NH8OYn4a9hsVLtml9SBt86+8WdD8BcLP2gtNrPsOmcnfBJ94G/P2bG2LCs6G8o79Gt Lx6LHtMybrHHLnF1ROfge0c5RYMvNb+kFtd4pgm/LDwH6RexJaCYpnWxG1jv6niQg8WE0j6t 2KSz8FnTaX5JnKt36fOBsXPmLf+O9q6oYqWcSoiQTxtq1Y0tk4rYau/Uq/klca5p/QZ86rxL hUlVoaBLqlGTL0kv/n+dTxfVg9/1k2hfuYFzpT24zOKbQOm7/iNGyWimK15yhOxhrBSd/Tpm roUPv5ti8po1vyTOFdcKfBwFQqUt0C2TVYNK4wNjjoAPennXaX5Jh+BH5VvNwMCuHzd4wZQc JQYG4+YTY6eMiR3NOezW8ktx8tjezvoiFu64rxIY3oEHod5c94cfxf9qfuTl/wE9An5Evo0m 6f3zND0E/ndqwh+oCX+gJvxhCuEP/jV1hlrX+vgAAAAASUVORK5CYII=</item> <item item-id="68">iVBORw0KGgoAAAANSUhEUgAAAG0AAAAvCAYAAADpaEQxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANpSURBVHhe7ZrhsaQgDIBt4PrYGuzi mrCP18FW46/rZIvhDBCEAJKA+taZfDPOHOpT8CMJujcZ5XGotFHWxUzTYlbfHObzNvM0m/fH twuotAHWZTLTcpquiI95z5OZK+ZUWicg7BJfEZ/3XBSn0nqAlHi1MU9pcqg0MatZzqxhTfL7 qTQhkLJuCrIATZMqTcTdUYak91VpEm6sZZS4tqk0AbwVo1uuTxNs8L4FUYL/9qfE58zvrcVg mzCYIlUaG3jQxy+9MVCHUMi6pCkV5KMAex4neuGl219PpbGR1rM9mhIn9otHfB3udffzVBqX aKazKX2SgrqYXMfJ5aVdlSYDBHDSWGCLjE3OCukviqQ8HXKlgW83AVQaF9HKcY8KAGoY/q1K uxO2NCch1DKbIqOVYnd6VGlyRJF2AF2I0PYBKk3KWdI26JK/9CW/REWaexFs9c3mZR/yJ42j C1srMPVc3ZcTpWFKtP0WXLMgjeTiGtD5EM48yVewz9b1Hmk/LzO9fnzjd/h5/TF//9FI80Wz PvhC0cwK6x2QydLs9wmcGml9lNNja/D2uPvDQGlfAkYwr9iyoP1Uafvgk5oBO5PUiNybIuN6 6rZtICuVFtUM2LJMcHA8PAM3rjDe50gjEXSCNLp4yDbOhQ4jzQnZV2ReUBBzcNyOD/tCxvn9 0ioiStLoA7yDI2mtPraO18bDlJZMQOHW4lAaXiTroz1Ooq+072rog43aLn2WswFEV+t4dm3k +yMNB09luFQS992eJ1g9Xp4ebSTRhx5ljtbxJ0sD3AMmsxI6HyRV0ujVHEnDGhX1O51YjeM1 aV/5nuY762a8M+qiDfeRQfr9bWH5QxrCR0rYlsVOHNfGzID39FuWCWrH3STE/cnYvjbSlDoq 7YGotAcyJO2c2q/SpHRL2+ukSrsbWKj1PvXailQELJ5Umgx48NkqlIlK+y22NDcsLXrVEBuE NOtem1Qam32mi/HSwnsk1Efpp78o0lWaAPhC1JXiaHq0baG0TTT+MqHSJPSuIIvSZBMgnjAq TcReV0QMS0vvq9KEwIzff0BlMigNvvXG91RpYqTRBuf7FSPUMf9fI0K76T+/n0rrwP7Kwc9t Q5QWPyqtk+6VpACaFhGVNsCV4mrCAJU2CIg77QdewC9SjhY7Ku1xGPMfbe20U12u1p4AAAAA SUVORK5CYII=</item> <item item-id="69">iVBORw0KGgoAAAANSUhEUgAAADkAAAAVCAYAAAD8dkbIAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADoSURBVFhH7VZdGsQQDHSuHMh5nMZl HCbrp3ZRLSv0ITXf54FopjPSlMAXYIvkgi2SCwqRGqUQKPUxvYBRgMLuc6O1dyZGeRORBhV0 JNDS7pHWDj/pMmUKCLz5SRqFcPtwMCKLO3JQNrISNN7/RPo4oEoz19Zmg8h7K1LLUL5+uMWs ZCIeKFkib0Nk4dQgWWZWbbTedI3IiwQ1ssKYJSDyVkVGh08JfJzRNxn+SWWSc5fz+xpdjlyu g7wRHY2nKBNXOt/kDzSdCALvT+QhMLgbTjC9YaRiR28eVIzy5ifJFFskF2yRPID4AbEGbkA1 DSJTAAAAAElFTkSuQmCC</item> <item item-id="70">iVBORw0KGgoAAAANSUhEUgAAAIkAAAAvCAYAAADXYek6AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOxSURBVHhe7ZrruaMgEIZtYPtIDeli m7CP00Gq8dd2kmJYh4vggNyM45L93ufxhyFHUV5mBnImBUABSPIJlllN06wWezoU75d6Tk/1 etvzBJDkJMs8qWkeUo+At3o9J/U8MAWSnIAEGd6PgPfrmRQFkvRCKeabDLGkxIckXSxqrqlB dL4fLdrEzwZJOqCwXBx4K8g0nCRx2oEkzVRGEWLISELsnxGStNJSiwwrCT2m7zckaaRpRbNJ YpaYlHqmwp5EO/zaFAX4fYLvPF/rWQXrZHApB5I0QS+7YZC3usT/jd5XuWDjjeoIJ8Ay769P 93QDrr9XYzn13V4PkjTRUI8QyXRjZnpqnIxAmSM7uD5a7L6m+xD2ufYZ/PcgSQvB7KoiI8nR 7uYp9P1YpKMaatdnI1PWNw19D5K0Q4NQfruelCSpgfwIq3yrDAulkyBSxOmlVhLyy/QTkrTQ ussaSWJTQss1qvCzntBpy94DkkjTsRWvB2kVxR2fTzNWPCejFVPfj9JMd7qBJH10SHI7Wpqg UOXnGSBJDyNKssKXwLXR7ECS4+WZodQuD182Xtq3QSVxKUa/o4b+JyRhuS2i1C6PnyGLjCQ/ DzU9fuzJ9/Pz+KV+/+GRJKrGGaV2UVhUk+jbsJGkj3S6uUwSF4XqCqYqeF8gycepkmSX7+nD UrsQfFmpfxtZuCRBHqYj2inNtG/PaaLVJjckWYkkMF/aKLVXwovN6KgZCNaX/bkRwFfxVohN hEw7ibD1hUU+SLLCZlD0PkrtkuQk0QPNBrilnV/bUSnJTvh/+CiRlcRdJHofpXZJ+EAG5yYd 8frHiE3Ro9QeXduBSLISvejjdJNsr+TydKMjBR/kIPqV2iGJpigJYQYzmHGldklykrgaI+ib lprVJIftR5L89/sk9sWY2WwMMtHCfRYeqfacLPGgnMJGgu2YZx0FzLmLbu6e9ghXL5qjdhNR 3Oc7URBJQBFIAopAElBEXJKgmL4BSNKDqCS+NoIkI0HFveSIHa2yRKDCHpK0Q4MWrZIuBJKM yJoCbpEkWK6LpjuzZQFJmvCzSwQrybb3QzVR5y53M0HUhCSN0C6z2GTm6UafC0myCul+JYck rUiucJKSyEgaTgZI0ozP1ZdzmyT7Z4QkHdAs8/+wdCE3SUK/yYXPB0m6kIgmdA+7oqE6xP57 5nZ+maPxs0GSTvQv4NfHfXFShTkkOYHoSkcAnmYckOQk3yLKkSAEJPkAJMpt/6F3FlsM5wpx SAIKKPUX0HNihgas2DAAAAAASUVORK5CYII=</item> <item item-id="71">iVBORw0KGgoAAAANSUhEUgAAAEoAAAAVCAYAAADhCHhTAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEjSURBVFhH7ZbhCcQgDEady4Gcx2m6 TIfJeWqvSTUmECwc5IE/zg/UvJr2AjgqXJQSF6XERSlxUUoeog5IIUA6+s8BKd/PkQKEcobv iPnsszfWnAOJOiHHtsBchJTvpxb527w9NFysNV9Bb9SZIa5ESPlO6t6plIc4Unlwfc6aC/yP qFlR+DzWXGApCvdzvbJSvpNaaATSKYMIQy4giFovPOQLiNTZEE/b3ikh5vK27JDirfkaRlRb dDi7lO+m708lo3ay5gumoq5FOFFs/irtK8x/taw5hW29M8cig2+9ab7A3nqUuj9uowfW/Ini ZT5eXTZ/hev/HLevNZ9ziyJt1W5KuzXXHB6zfLMwdL5pu1hzAXqjHBYXpcRFKXFRSlyUCoAP 1B9CM3rpqYcAAAAASUVORK5CYII=</item> <item item-id="72">iVBORw0KGgoAAAANSUhEUgAAAFUAAAAVCAYAAAA3raI2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGwSURBVFhH7ZWLjcMgDECZi4GYJ9Ow TIbhwBiw+cVcS3sn8SSkJiFgv9hUucPbOVI3cKRu4EjdwJG6AS71vpxWyhmL1x/ndpdWTunL /xKA8ao0SOD3pcv9PLS7yMJ0Ti9na8i7C1KKVBLgd6RaZ1ICQqm1uBI3WYsOuq41/p7xM+EC 5tO8QSiZD9dCMX+sUlGUSKoXMQrUWpRF8BJ1LtPYEez1IDnvG5+X+R72fM7/lQqVFitQEq81 pPUhT34U8HvtMRTiYpInDKTiohB0tflmZFJpfDimZn1V0zVZ6yeqIwBdxHWr9x/oSqUi42Fd B8BhB3pvLJS+vP0TRfBwG9b6HonUQO6Gef41gvbvbLaRdamR2R8Ja/1AT2qTe/hYYU7Mf0Ws WKr0PHmV30oFUV2pndaFPGdnaliO5wwfTRjXs9ReABXfbX/ES+07rVofiEcGnc/37XVnuCer 1gepeF4tSHmVlYrIhLgH7zStnwiVPZSIedM12fw5XKoHvliqMD8+1fYpsbI3lVEliR8/zx0m 22l9As21rRvc83GPlkbq4XWO1A0cqRs4UjdwpL4d534ABI7aoPmNyLMAAAAASUVORK5C YII=</item> <item item-id="73">iVBORw0KGgoAAAANSUhEUgAAAEkAAAAXCAYAAABH92JbAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGPSURBVFhH7ZaNrcMgDIQzFwMxD9Nk mQzDMwaKARMoP69VwychtSF14LhzeuhNlS1SA1ukBrZIDWyRGniJdMpDHwcZ8nQz6ZzUYeYZ xE66lBYghFCXuxAwQnHXn0Aet1OCW4SO9DDiEWc9DaYnXVoJiJVQ8Ml/T0T7GtxaF7cAvnG7 2KF5wFl8zPwCqaAtnFr62iy9dedwKWGf7QcslBcJwGYNDhKFU6I9Cgs3xTEIULq9r64lfsEw o1YLzUFS41pPUSTvJtZFOEfFM+5otbwVil3vUN25BMHvRMIFFjZjFI6icLPxDHqvfQYuxtQb qjsHHzd8ZtVJNyLlMegVyawj2HusrqnlT78waoVQFOLcz4uU/2ZUpFGsi5JDK4lkJ29OYELc bO2k37xd19ea1bdI/GEICW9289nNvkfaYLOGe0fYOMaDKjBUdx19IgHpq5r/L8VB3ZFHur/u OrpF8ptl44g460bxce4x1zH7pMbrvlrd/2dApDYupT4el1EWimQd8Q1xGWW5k36BLVIVrf8A Jbt3MDc/tKYAAAAASUVORK5CYII=</item> <item item-id="74">iVBORw0KGgoAAAANSUhEUgAAAFcAAAAXCAYAAAB+kNMAAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHZSURBVGhD7ZeLkYQgDIati4Koh2ps xmK4hIckGCTrHY638s8ws0hgw5fHuoufGqYJd6Am3IGacAdqwh2oHe5qF78sZNg1rdRr1peV t2v1FpgQVEw8czfnDRgbt6UHRQhYev5ebd6ZmHA6uKjVwgbjGUeE3jrhzUrJqIebI2IcfMrz CvajlTPqhvb1OVwQ3QSZLLeDUhYlED3FHrX377CvPkdjc682Z4o/ODLNCi77bYKHMlxQMISM NY0MoD04fHkrfILC2cR+tcfK0NhoxC4sjZ7fASD5bto2D3C5j024eaOYtWGNQsds05chAwfO SvfT2NytEqgarvzW0IabylO8FEaPlWcsWy2AHRw619iksblLuS0EN4TMzVVQu3kJ7rENXICL Leekf2psNCrZ1hg9pwNMUpUCXDwiBkDbFu6Ae3I5jc0dqqGxOYGLioEsgRDhxgPQMI36cn/Z FuD81p+Wno2s/Gah/w04V0yyzMJYeHsi8zgibM4NGKUTPlO4MHG+nne0g4uT4Mwxfn2bp+sa XBBenr6K6TOrAgeqSw+lsXm6LsOF66by4xCKUjmx9sFLLK8FkPQ5HaLN/4D8C7g6bc6p28W3 aSDcmNmftItv0/DMfbMm3GHy/gfMMttHKL1QtwAAAABJRU5ErkJggg==</item> <item item-id="75">iVBORw0KGgoAAAANSUhEUgAAAGEAAAAXCAYAAAAbfSF/AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIUSURBVGhD7ZaNresgDIUzFwNlHqZh mQ7DBWMHG4zlPClqqscnIbV1+PE52OmRN19nm/ACtgkvYJvwArYJL+DHTfjkGI58hFg+OfjE HI7yPI0zYUDyiQGfOTN/Ip19bojjjimftG4Zi6VVftgElrTThC7uSihaU4pfAQOuCe25bkS9 DH0O7eM14ufbESTsMqEIZ6qCBmjPQAUNxqSzm5ViloWBFep04f8xAURbVUAN6xUAcMEJbG0r nWXl2KAJ6BwcMhRXqSzr5xpv3/U1rdjz+Ezg+eEQB245hBgx7zqY6GACaYGYJrT9vJqISuAJ pZMO0ROYF7Via/gLTh03FvO3I0I5M1ZJKOvInEkDvJR8H80Yohp040xDO1qJ2n7XtbFiz3Pf hIZoF1q7QWOuvMZ/VjCGOUg6F+YsmN8JsNm4CBeaWlUZkLwVe55/NQFEtkzAXC4TBC3n+W9q O48+Z81gQtm4JJRqYuJQ8rZLp62YznfbEVKE79sogquXsbHcs6wpjClrREcqzIQqZhdevt1J aCl4w4o9D5zzrglKzwZh2cWT+RMtR7UNYfuSQ3lOAU2gxVFE3v/gsD0+L2zFnoS1PhhzdV7m 8HzqWJgmKpQbwOavWtA1jw/njZzfCSotqbrmfEOs2MbDbRPoBnatrdjGg8uEXqa15LHU6/dS 1tGIaSW/mXFWwuZJtgkvYJvwArYJXyfnP3UtPcrsAjpkAAAAAElFTkSuQmCC</item> <item item-id="76">iVBORw0KGgoAAAANSUhEUgAAADQAAAAXCAYAAABEQGxzAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGuSURBVFhH3ZeLEYMgDIaZi4GYh2lY hmFSwjNgeIhWe/3vvBMrJF8eYAX8mS4DWa3BxPtnZUBrG++LLgFZLUEyiz4lzv4+kNWgXoRJ sloBdWMTyIKW6qVSa2VASe08CtoDctmRaoCDvwsBo1fuEwZX5ixtAU1751Gg2p8NIIzIc84u ySgQsew2gFzNipLinxACidDTNVAulZAF4e5F67x/ZwK0XHKtHQwWtRnG03WITwXIUx4hjMIx 2dFmQBEG11ktS+yBVDJGJVsFdg8IxUW2febBB0Aobp2hes4v9iuxNweKac+7mn/nbiAndl0K lMrRXeTc8SJzl4Hys68AORvOSYOlR8u7yZBRHbszIEE88T1URWShUU8BodMFwtvLExPQpPS8 vcEuJ93JGzYHJr1N1FixQKlkjhnIvZMCmu2W3+t5jbrn0GJk174U+PJoPybHKsGrM1er/6Ww COTfO2SOyK/DRRQdHET6IFoN/VKnvVWAIkwqtTFUxzFylh3n45zJZtIonIF44bwA58dtT5Nx naEzcgH4o/9DQef64QtignoJaKeMblOnjy8C/ZoAPhP1AXUCXRn3AAAAAElFTkSuQmCC</item> <item item-id="77">iVBORw0KGgoAAAANSUhEUgAAADAAAAAXCAYAAABNq8wJAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGfSURBVFhH1ZfrkcMgDIRdFwVRD9Xw 6zqhGB0SLwHidZfYyc54xpkEs5+0sp0LvlzHAM4YsPH8XlkwxsXzoiMAZxQo4SJ3Sdp/H8AZ 0A+aT3JGA7exCeDAKP1QdFpZ0Mp4R0EigNUXXFc4NLr21Vd0MhB+n377dmExVe5CB4DmU84I xNP+rLJ/KwBuV/w0AL49nREkvs/clqymwiJCDSBWEqFKyz5CCHCFmcwA2JaU+3BE0wS1ANiO UOhmuX7oeN5LTIAg5mndgRVAXJMHfkNUrBgBq9PdrcC9FoDaNQFASeumGpndnDe23/87gDoG 8BKvywFSvPzB7vsktvYhAG/Om7I0d/wBWXfA6sG+RwA7g3UEgCaLaXrW5IUJYBEl2q+5C4Ws x5bh0V00fpQ0AZcqnLMf15WYlO/rdY2Gz4GBlm+hZERud/vyNVcpVt2ZWpMn8UBosB0kLtbS WmhoUslOvNvj6PLZ2AMYGWGx6zfCNYvhb1ReInFdgCnxSgo3gPR5E8DLV/mL/w8EneX5DRKK eATwl1i8TIM5PAT4NAH8AkB9quP41P6gAAAAAElFTkSuQmCC</item> <item item-id="78">iVBORw0KGgoAAAANSUhEUgAAAeYAAAA0CAYAAABfEptfAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAjXSURBVHhe7Z0LkqsgEEVnXVlQ1pPV uJksJmODH1BAEBHUc6p89ZIQ1NtNX8Qk8/cDAACAZsCYAQAAGgJjBgAAaAiMGQAAoCEwZrg3 3fv39/ent3c3PAmngf6N0P3ef6/f5zs8hIZYxwZjhvvy/fxeoxnI/3tzeFGZTqQvOJMZS/H5 ++HNdejeMjnCmFvEFRuMGW7Lt+t+Zh36fl6/v9fHeg4K8v1aWksBwpgr0L173blibhJPbDBm eA6yrIoxV0FNinDlCoyrFhhze/hjgzHDYxBzYCn7bL6/z4t7zLXo3u++7Kv/YcyNEYoNxgwP oU9+rpbrwT3+81HLpMP/Mea22IgNxgyPYJ6dQi1Yzj4TY6VisRGC2mzHBmOG2yOGQDFqALnH TyAqwRVzu3DFDLdDkjpwFdCbgbV8ai0hQT4b+k/IVQLGcDyx+mPM57M/NhgzXBid+OYSkIla Oh1enzeWtI8jRX9M4XjC+tusiz+UJC82GDNcm+FDRdvJD0VA/7qgf7tkxAZjhmtDYaoL+tcF /csjn43oNVZbitAYMzyWKfn5vmwV0L8u6F8W0XfUc9A6+it/GbHBmOHaDMk/3cNUs1vupZ0G +tcF/YuS9bO+GbHBmOHaTLNS8zGF6TTQvy7ofy5ironGvCc2GPPD+X4+v7jFlZJ0v8/eSuJM fuNx46B/XdC/LlfTX66Y05eyPY8DYMwPJinJCrP7WC5cmNC/Luhfl+vp36X9rG9GbDDmp9In ybuRQTHy/bzTl+CuWpjQvy7oX5cL6p/8s74ZscGYH4l8SrDFH9pInJFK+z7R1acd5d5NpxN/ etzWuDdA/7qgf12up79cUadNdvJiEzbmlE/4JX0aUA7aDIw+ibxZnq+P5b5qMXxkPmngFUJm bgGxJQl1Ap098xaNWi4oB7Ghf71cQf+xjpD/Bbla/em9zVrm7h+XPq6gMXdvLU7MfYDotsrA TaMcilBWEObB5OxDLSHUTHhjsDdgzMH7KVZ8fJOdcsTd67k24XOsmyvP1l9q0VybpF1eXUrn 8fnfWP0Zc8Deyl/oBYxZROlnBmK4mwUitq1utzopZZyZAdjqQ71eXtAQKsjVjVlPhNw6OV6T gXLmMZ+9v9MJ6T9TLVeerH/3WUzeddtTf7CjKf3l/I+umaH8d7z20PrjNeZp5iAHunG1GdtW rqqdM6UzjLlHFbvNnQyDsYCJt2HMMjnyxEhpuHjN9VxJVA7VnUCVJaC/QVVjRv8JtRKYVZgS aUr/EsZM/YnBY8wSkFEMETK0RB3bdisgs6mOy+Jqix0UUx+jsTreq9rUE714sXVpkJLozqTU Md0Ow3Kf+n3z/iP7CR1f6+Tqb5CeK+h/pP4a3U9cCbqj/nJOCfUyV3/qz4TbmEUg4wy0UXoC FNs2NBOZAqofdu8dwgx9TIFQ+1v2ExvkGWuS4NoSOitqzOp8x+Oaz3sVj2IDQ2Oe4/z1gnnQ bPbTyMBI5gj9DfbmCvofo79C2ibG4F76y3Eb2oWg/hyK05hFTOsEBtFdJxXbVgm2En1AiSHv STfOiakP8/FSYN2//+q/LDHFVidyYAuJs9RAWD6n4pMwMFx9BvENAv38Zj+R+1vpkrj5qKq/ QUyuuEF/q8lO/YVdFwjov1//C9WfECvNEjfVh/rXZDgw1xtWQUloG2PM43t3ibIU1Clw+8ac Rcw5qzaegeF6LdTeh/M95sDQx6TivdTDewzrnGqO4Th362+QlSvob7Bf/92nexv95Zg9NdtF rv7ec9+Ol4XzPRn6h1Dtj4/NypglIV3GpWdSdpBS2jpnQyPDycm5qYKUGgjB6MP5WKEDkqJh 1gxyQVaxjSHmnFUbn75m8mrSj7nfX9++U3E042337b0aCR5f42TrP7M/V9A/W/++Vll1rX/P x+ozxJ30l2P21GwX2fpTf0ZsY1YH5QnEILo984lsq5AAhcQwRRPTS0gIYdHH6rEQOuYTUOe1 q9hGMpyzOVlY73MxUJbIBGpqv9F2hT2Q1b7ngAwDYz34LCrHKIsj9B/Ylyvof0j+Sx/WFqvH 3fS3z2eTo/Sn/hjGPIqqtoWBWq8tt422RlBEqNUVtmO/+qp5fM4USQdqPVDG54c+PD9/pvrd jLIOXPLEIIh5fPYxHcqg5etl6Lcq7huJ2WPq727nisOo2/AeM67qGObXg9paA/NiHKJ/TK6g v5NM/e26Y2yrxk/RX445cKxLDsl/6Yb6s77HXBQRNN+Udv3Yu9p3QpJdkSEZQ0kvSOK7bkGk khaHeUDaM1mbo46tCuhfF/SvC/ofxsnG3KOCl2POInCqweoZ1lbCXJ7IgaHaZc8KU+MwD4xQ PPZ9ErYR0L8u6F8X9D+M841ZIcKkmqsg4qYKt3dfF2MYFOEloJHUpF6SHgc1S1XHJu/Tg2Re ZhrpY7VrwOqB5j13WZ4qdftgBP39547+hfU3cC3Fov95+odIiE0lY4bq9APpFn+PdjHIZSlq VRhU8m8Vi5O5jf5iykv9F0UX/aPYp7/JMEFyFn/03yJf/xBpscGYH0zZRExk70CN+cMDnllp bW6hf3/1Yb9LCtBCa/Tf5gCjkl+6+sjEKPKqrDZ30z9Eamww5keTviRUhH5Q5N9zmll9uEP6 b7Aw3VJ/6Ws5/Uf/MEfo3xd4kV2tWCz7Qv8wR+a/ix2xwZjhZugrZssbVPLn3NOCKHwFDv0L 0/3eQ8L7iz/612FfbDBmuBdOc5DlVQpTSfS95b9hW2qN/iWZ/1iDp/ijfzX2xgZjhlvh/rpD n/yrAQElGA3a/i4o+hejn4iaPxfqLf7ofz4ZscGY4TZI4ltL2BPf3+dNYToHfSvBNmb0L8X8 NaD1No8F9K9BTmwwZrgHXfgPD3Sd07GhAFKQlhMk9D8H91UZ+rdASmwwZrg+6isHy1kp99Sq 4LzHD2fhK/5Qn5TYYMxwaVSyr0y534xLtrGNe5kbslhOihyFB/3Pw1X80b8NUmKDMQMAADQE xgwAANAQGDMAAEBDYMwAAAANgTEDAAA0w+/3DxQh6jB8YuzqAAAAAElFTkSuQmCC</item> <item item-id="79">iVBORw0KGgoAAAANSUhEUgAAAJsAAAAxCAYAAADN5tsEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANLSURBVHhe7ZvhkYQgDEa3LguyHqux mS2GEyIKMUhAhuPO783wQ2XRhAe43N7HANAJyAa6AdlANyAb6AZkA92AbKAbkA10A7KBbkA2 0A3I1oLvYqbPx8zrfgxEINtT1tl8NtFsgWz3QLYWYGZTAdlaANlUQLZK1pmWzrBAtnsgWwVO tGkx3/AYsmWBbKW4JXMyizfNgmVUBWQr5LtM2yw2m8gryKYCspXitjows9Wwy7aaeUsWf+E9 SjaL9vPhaKf2niU/1Qa/V298roJnaCWbJHKKkrqXnP1O/0Qzm7RE0DmW3BAXdHjta5aJJK0P xndoog3pvakr5/Px8qQD/ReNSRGYuu5A/ZOVzeEeeGs8+AZGJCxuMdJzbbjriQHwJ6Fczuyb roy27lj9o5Ntg0ZSbKs9J46sHsFsuOfN3sSP5LHFtLG4XCqWR23d0fpHLRtdCxu3oyYRKHsQ P+W7oo3waOOc9i+fdXXGlkiHjdHn0ub1bnnU1h2vf9Sy0SgKAru8CwRcgkmPviR7G8fIFUcx JVubH0uUWKmUNNYKG1twX3rGm37Q1B2wf6pntlsxj2DKZThgCaFjOZj0LPA3sMJEOXIdJ+dN W3fE/ql+Z9ME42eLdsHwtv6BbCxXUeGJK6g7Yv/oZNtHTxSQcpqmNrnxCgqCic/dQ4PmpmQa Ez+jLBI2P9JgkZbHkroj9k9WNjonBOMaSjwku7GYjByaYNy5wnZH4u7593gPuUrqOsbrn102 MpCPRF+k0WSxD3m5tt+UPkvBnsLaEgbl78sDDZ9na2O9tmlx7UbRSQy69SHk6SC6xkumLvs1 ykj9I8/tauxNWfAVfJe5og1778EEGo6x+uehbBtupDwJyM48pdLQyMpOamCo/nkum6N2lgk3 KLXU3uvNjNE/jWQDIA9ka8H+0n0uG/Iy8nYg21P8HuQhF4l2HgMPZGsBn9kuMx2wQLYWQDYV kK0S2nWPy1U2v6G8FZgH2Wpwot393+gu27Gb7t7rnux1/Q8gWylOJCZObhmVPvNCIFsh9HdE tmmpki04fimQrRRpSYRsKiBbMX4fLZjdIJsKyFbFuXHLi/+pNR1vM2Di5zdvBLKBbkA20A3I BroB2UA3IBvohDE/jHILJhj8V9EAAAAASUVORK5CYII=</item> <item item-id="80">iVBORw0KGgoAAAANSUhEUgAAAe8AAAA0CAYAAACjB7CVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAjpSURBVHhe7Z1rsqsgEITPurIg15PV +OvuJIvxMgMqICjDy1d/VZ46MQShHaYR8/ibAAAAAHArYN4AAADAzYB5AwAAADcD5g0AAADc DJg3aM84TH9/f3obRrMTNAN6n8Q4DX+f6fszDwGoxja2YN6gLb/v9JkNhP5XhvJBdmuIGuSL YdOA/5vg330YB5owwbxBfUKxBfMGTfmN42Tnst/3M/19vs4+UJHfz9GWBj3MuwPjoHTGlTdo QCS2YN6gL7SkC/PuAk+U4NwdmFc7YN6gNvHYgnmDrpChYNm8Nb/p+8E9716Mw6BSK/8H8wZV 2YstmDfoiApAXHX3A+8xaA8vaZr/Yd6gJgexBfMG3VhnkaAXWDpvibXC4W2QHJRxHFswb9AF MhEktBOg9xhA+E7gyhu0AlfeoAkUWDtXG8pAnKVbZzkIyDnQe4Fm7zCTclL1hnkDKfmxBfMG hejgs5dzbHjZ1jy/blg+z0eiN4yknH29XbYJFoA4ZbEF8wblmDdGHQcgqAL07gv0Bq0oiC2Y NygHya0v0Lsv0Bu0AuYNTmUJQHy+uAvQuy/QG7SiILZg3qAcE4DLPVZ6hzPu/bUDevcFeoNW FMQWzBuUs8we7cdIbs2A3n2B3qAVBbEF874Av+93Slsoack4fXOzUTAArccXA3r3BXr35fZ6 C3hzbMG8T+ZK3/Wd3ZYbJTfo3Rfo3ZdH6J3I22ML5n0m6kQNFwm+md93kC8H3iW5Qe++QO++ PEXvFBBbMO/zoHcXXvHLSkbhj4esXzTAb7QYdfAtjy8zvqB3X6B3X56idwqILSJs3vyOt7kS tXGDlGBDoGGSsgw12BZed6BsFhurwz/WeYzDqhG3k2ZYO52mZRinfDdoYFwpKeUh1Vv3W5Wv nmiOeKPedtJCfOfw6nyC3MlszFsHhdcAEovFcI1QUpZho7f3m4RZJPKaCIJ1cHvOHayk03w/ hDVTBvFv7x6Jo1ONyY2MK91LykGstxVD/c37bXrTmF9zwJxoEd/piOP7Yflkt74X5U7HvPcH EgmROujcsprQPoUx+yKBj+rg5wPH7kIogPSkJdzewHMUkD1NpffxdnGT/TFSvVc4ps/o95v0 Hr/eRFqX7fqlJ5fSW8rb88mb+rqPZd46KPYOvL4tX1JWY88WHXqYt4IT8+FBTCKpafTBtpF+ kdUALh9azei4ekABeNpkx4fOiaAtUr0tTjXvF+o9w1ePh2OzIpfSW8jr8wly58xq3iYoki75 JWWZI8HXYOSBrB7zljqglzpm8w28lsv0HbDz6sS6GQ24LRE9gief9PMHbAir/1y/ft16ayOx nr32dSfdTLL0tpCbN/Qu0VujNUwb6k/UO53H5xMuR/X5xzXPE0/pawVW8+aOJxqypCwRFNWw nDD9cBwyOm7qWITm4/n1pJ7EFWciEdpSKvP6xzQLQI1tQuMw17UG52E9HQPwGGp3JHZCSPW2 kJu3Bnrn6c1QWaHmz9JbiFTvu+QT4yl6W8vqHGy1/wl9rUQX82ZBDs1bbq4LSx32Y19AXX/6 akEl/LYRrJ8gAEN17BILNr3/sJ7E4+mBlr/FKJo0SfW2sAeuDOidozeRNVmH3ul63yifBMv5 +x7SV+d8Z2xcB/9ltLklXU2KylJ/js17blRilS6+YEEBL2TevC8SgKHn9srHCL7GDkBzDmnz DSvahvRzXg9qcyR2Qph2JuttkW/eCui9ItA7u3uP0VuIVO9oX4/Pj0PwNZX1NvvcU+Dl7b22 R49zwb5WwJke6hlhvKP2YJOUDc6IZkzHqKw2eaHQhFVH8DGjBXf37VM0Q54JtYX3xfppB4lG biqqr6r8yHraurt1R696dtvXG2rz1c0beov1VjnBmUir13yTD/okvYWI9XY1IS6bT0J9o2Pb +57S1wp4azu6gWRMroDUWP+qVVKWTsBeZ21RqE5B8iD8kx4KAt4nrLcGobawHlvdFmiyswTc QdkNdF7WfrKeqzAmAN1A3HCWVkHc/hySo7eBtRINdAJ6Z8W3et7dUo/5NL2F5Op9h3xi+mZf FG3H5EP6WoHgjRl9Bawabm2xxqaWJSE2S9bzyeJNm7tbny2CPhHbQT7vN3VEvmKO6z08i/rE iCcPMfwktQkE8zCArUO4XEiPuf3mNba+HNDr87t9dAbA2VCbE89Htt52DNEWmmhC7w0Zeofy hfvambfoLSA7vl3dw+UuoLep//OxYmTzuof0tQJB824DCRa5+haQ90X3dOwdwU+AAmwzmclA psca+O6s0qVW264E9O4L9O7LI/Q2hhmpZgGxpelo3go+OSUGTgJKTVjPso4CojukRfEMTarH GoB7ukTv59wZ6N0X6N2XJ+jN/hCuwwGxxfQ1b4Y6LhFthsSTCpN7rB5Ig8dHrgfPGFXQ6WVh HYzrstCM0ixrYOiA1vUHApuX/PoF9hbo3Zen6W0RWhqF3mV6G+PW9R0Z+M37uocgtk4wb7Cg AvYZv7/rDiZaOtoMQA7Ao0HZmMfoTcbt6+0lM+gdJE9vGzNpCiZY6O1TrncExBbM+2yaBXcO uQMi5ccmIrPH3jxCbzXzd19Fg97TFnpvqZDw6Vu3vjRZSrw66s3T9N7j7bEF8z4d+RJOE1Tw ld9HWuFlJtu8qf4LJLdH6k11+dNy6O1SQ2+VRElmXunw64LeLjXjO8q7YwvmDRpAg8pb5uEA LLlPBYLEEgf0rsw4DSag4wkWeoMc8mIL5g3qEzQUWtpFcquJvtf9ZzZfW+hdk/VHKiIJFnqD THJjC+YNqhP+uIQKwE1QghrMJu5+vhR6V0NNRu2vbo0mWOgNpBTEFswbVIWCz1kuX/hN3wHJ rQ36NoVr3tC7FuvHhLbbGuvQG8gpiS2YN6jHuP9jE+MYdHVQAUoC/qQJerchfHUEvUE5ktiC eYM68McZ/Nkj7gF2IfgeA9CKWIIFoBRJbMG8QTEccBvjVpt1KTiXCS+pAxH+RCkw2KF3O0IJ FnqDGkhiC+YNAAAA3AyYNwAAAHAzYN4AAADAzYB5AwAAADcD5g0AAADcimn6D4pRYqOEKU/O AAAAAElFTkSuQmCC</item> <item item-id="81">iVBORw0KGgoAAAANSUhEUgAAAKUAAAAxCAYAAAC73GmPAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOISURBVHhe7ZtrloMgDEa7LhfkelxN N+NiGEhAkYeQOtL0+N1z+OE0IoRrcOzMywCgDEgJ1AEpgTogJVAHpATqgJRAHZASqANSAnVA SqAOSDmadTHT62Xmtz8GGZByJO/ZvKyQrkHKOpByNKiUTSDlaCBlE0g5gPfMW3bcIGUdSHkz JOS0mDU+hpSnQMo7oa16Mksw0oHtuwmkvJF1mWxVnM3BP0jZBFLeCb0CQqWUUpSS7/Dkodwm uJRISSzzNvOherjjq4tU6yO91mh4XIdqeVXK6F0nNXpeXc0y78+tG5JYQsfaJFLaAU9uAsfg 8sO5JNZDSYrjQx9XJh4WvtJH6bluKPv40iadM+e2XHnL69AXSyham4OUXPUqC2gHPUUfSGKZ yp1xtXI4Wn3Q54Vr/xBhRyrP8ZhbSSyja20iKb3VXSOQxDLuzs1FtYyYuIUWqnmRcvX/Pj7f 0aullHVZ/JglsYy2tdml9M8fXQOQxBIuUZWqmgw6bP/Uei+w9bFvOdm5FKNNtk78/IripEhi CX1rs0lZLfm+03gwklgie16JyCZeSdAZ23X9uXS9tB+uINmYTzgsQqlJOruCLwJdokliHQrX JquU5cl4y/fR9cdaWOLWxOXSbCTJ4+PyxPsriCIkokliLRrXZpfSn1x+FklEk8RaeibuEuna /0087euHpfRj76vMklidaxP9omM/8ttVfvFcNEks373tLYIT9PkWsV3yZOL5eOtc3b6L53S2 FB5LPTcud2E4kliNa5PM3t9l2UkF0cSxlQklg+SEVpJUo2fi9DNhv6rwec3yzTk77gCSWH1r k9+SFr4reFJbq7xi6I3Nk2HxA+TzODHH/uIEhJsgTcp+c1Af77xPB/WbrlBGWEy98pbyXZtW b6y2tSlKeQ8nd6SAdZk/6MNdW69o30fX2gyU0kJ335XJu0omlYvv1maRfDqK1maslMSnVctN Wpq0T6/1VHSszRekBOAcSDka/wvEvmWVt7AnAylH4r9tcY0lZCH3Y+CAlKNJK2VWOQGkHA2k bAIpB8DfhBxbLmV4cW/bww2FlDdDQkbfcAVBUym3bzjoufPK+8LfB1LeCQmXCNbavkvnPAxI eSP8XXHygrhLyuj4gUDKOyltxZCyCaS8lfAeMqqWkLIJpLyd/QV52sK/GfCxraiVP+16GpAS qANSAnVASqAOSAnUASmBMoz5A3sDatY2PlScAAAAAElFTkSuQmCC</item> <item item-id="82">iVBORw0KGgoAAAANSUhEUgAAAR8AAAA0CAYAAACzSzwMAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAZtSURBVHhe7ZwLkoMgEERzrhzI83ga L5PDuMyA8hEEhBXQflVWbVyDMD00n5h8VgAAaADMBwDQBJgPAKAJMB8AQBNgPmAclmn9fD7y mBZ1EozBsk6f7zr/1EsBzAcMgkje3XAokT8r/GcclokGDZgPGJHfbzXylpMZ5jMIYsY6LZj5 gAfwm79Ydg3DNmOF+YCh+a3zF3s+I7FMk7Ad/gvmAx7Ab16/woC+ZiaD/uDllvob5gOeApZe vWPMUp1jkw3mA8aEPnaH+QwEZj6gayhBUz7FolHVTmTQilTNYD6gW2QSm9NyE15mqf+7z4uA VpxrZgPzAT2jNpKxmhqIAs1gPqAfYD7jAfMBj2BPZDzPMwwFmsF8QD+oRN73dPiLpNjf6ZoC zWA+oB/cKTy/hvl0TYFmMJ8H8Zvntf0iZVnnq27hTWTj9QN5s2Ywn4dAH0X38nWDy3V5mfm8 XTOYzxMQgk+dJPHGb57yl0tvMh9oBvMZH/qUYfvmcE8s6/Sdrd/gOUc/sMYblotM4mc+VAjN CGU+ZiHuESuE3msGUpZVNlqFynDv1YIa7asIjTQnlTGfDL63zqN/BULq/C+xi2gmYyfum2UE NbhXM2vmw4lqNVgFIWRA/LGaaQbb9SViadG9ZfC0rlVSR+rWgNO1uqXP/abZ055GHpTHOq83 A68Vu/O4GKZ3u/ncq1nEfARqDXesEAXJMwvJWPMFiZXB/280A6rRvmpIs/fXxfM/MqM7E/ru +9VCLB/sdFeDahXRzzTTePviHdyoWdx8lBO75kO/oet1yDvMR8B1jd5EJU1No+rKfEibwCyQ 6+n8z3fuPznMjMeFfwC9iugnmhk0NZ+bNIuaD587BCuW9Lpzyl+tV0eqeHsZm3l43svXNEjs lLrVwHefHDPxJpEcSOLVde8p36fvn1jOWf2GQsYjrb0Fmhnkm894mh3NhytsHp4OfuaOuwDy 5TJdaIgqYw8c388tJ7UjaSwj9B0phSXVrRAuc6uXLlvW34j7WaIUmY/E7AD6t3h1kveUyP8K tSNmBDU0M8g3H8lImiXOfOwlljznJraCK0+NzDeHnb0M87UbEFn+XZtjO0l1kxSZnXsfwj13 Znw+8/GVeUooaeX5aDmJ9zvEJfMIUWWwESQPoKWaGVw1n00bap/dvP40i5qPboxO5BTz2W4S bawPNwDegPRkPhfbeUZKm/maQCL7/nd2fQjve8xElnVivd3cCdZBXFs9YP8D5bq3qr52qHOX NTO4bj4C7z360yzBfERVeQQxKuSd0isMAaRJxQN9wCjD+5qRAcyJR5WRMKluFUhpM18Tiu9x pMtPaHE/cf3COpp622UHZwan9RsAkefW4CbaM1t6OBRrprluPuNolrzssjsmBfSs8mYjqWMH jCqEK6JPVD6XWW4NUupWA1WuGXeOpaWPk9guNEjs10euPUDJquPL99aNVol8NDiLVhrVgAdY yl3ziLSlhmaK4/tSGEszZT4yIMdgq8NTU2rYYcmzBZ8PaU67efFhNmq7p9tQsy6ijMAj21xu TEEV8GzzC5JWtyqoWH6/RvwOyRhJJIEZf/91Ph22uKn3mLpyHfT/T2Nrmd842DlrHLF8q6KZ 2xd9efUMzayZTx4UgPIOd+nLbHzvWobSKSp54vle54nUPB10B7JHV5tadRsGaJZFgfkIONgl BkQByTUR6foxgYcnMZH5uuKRKlcHnchnelx6zGJkoFkWZebDXJ2FUDByG/qCGQ+hknibep8n c24SuuTrwCMn143eJ5NaT+83hFaXOpjsGMG2815Mh6b2as0MfMu2gGYVzAc0RyT+I34bho1H d0q59+J0Uk7kWOcegMdoZqIGDq/5HDWD+TyE8sSpyNWOJUZk+12UzM6I2evM5wKP0MyAnqie acDAzOdt5E/F/wVafpRO3TeoLHe4pHMPMZ9HaSYMhqTi2apbVkAzmA/ok1CH4ER+wb7fUIgZ qhokwuZz1AzmA7pD7vVsG6Ru0tr7QqA9+gusAfMJaAbzAd2ymZD93IlI5NIlAqiHmNWYXzkJ mo9HM5gP6Bj5kbBtPuLcBPPpBf0R/vHQ23V+zWA+oGsoud0952VxJ/CgF/wzH79mMB/QL6FN Z9AtIfPxAfMB/aAeRtsPTxJv+0DubAj0gc98QprBfAAATYD5AACaAPMBADQB5gMAaALMBwDQ gHX9A1Ch50gTPX1VAAAAAElFTkSuQmCC</item> <item item-id="83">iVBORw0KGgoAAAANSUhEUgAAAIwAAAAxCAYAAAAIlEGVAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMFSURBVHhe7ZphcoQgDIX3XB7I83ga L7OHoUBEIISFYLuD9n0z/NCugTwfQakvA4ACGAaogGGAChgGqIBhgAoYBqiAYYAKGAaogGGA ChjmCu/NLK+XWffj+B8Aw4yyr+ZlzeIaDAP6QIUBKmAY0GJfaRlKGwwDRLxZls2802MYBoj4 5WcxW3CLA0sSqPHeFltNVpN5A4YBVfxrNCrMYZjdrDZx/jB3tmTdznHXpbOO4lwTsBaD9/Vt gkbJGNSGCTGkxsxYwPOv6aShFoP3FckqjC+7hTneZluEi/2MS8+731Hy40lEQcUY0nPEV4nj 402Tc6lz0K6S20RadxhGouLA3yjRrRj+77L774Ko85H3UjhmLq2bhtm30kDudbJMzPKNJCx+ nM1Owiycz1zyxKQZz3WdTeuGYWwSYmKV0skGkG1y9WZ2xohlt7jW/+a+VUYyjD9X6Dqf1qVh QqehccMU62lCkUQl2U8cMU7xpLcTL2Tsp4dMUKlpgl1E1FnSdEKt1RWGkm0lob+hJ0wIOpaT EEv1DSh1DrrmOc2otfoZpieJMGt+Lwke63mGsWeLZ64ZtW4ahtjNFm5OZ5mkZMfLZE8S+bnP XF2SxGs6G6emM40x0WxCrTsMQ86PQVyAyuBYhyRAJeEaPUn4c8q4EyHpTDfd6pUlOp/Wh2HI RXxmxJYPxA2uWA6Ozuj3lOQpQhEj9McTTMdhY+xlTIePm2UlMeNrdUNnIafZtC7rZReusxh0 lPe2DsRwfc9kgr9mLq0HDWPxLr+SiKsA2htPs6JZXJ7GRFqPG8YzOttdAloBRvt6CnNofdEw 4L8Bw1zhePiMZVsu408ChhnF75HQWwUZhMwSj58JDHMFXmGKivM8YJgrwDCgBe2o5q00TNg0 tO1h7oFhFHizJFv6wTzcMOdOqfi5wL2BYXrxZmA3v7UkSdfcHBimE/pfDdvM6jJMcvwAYJhe pOUFhgF1wj5LUmVgGPCZuDnHW/hUko5tJap8LnB3YBigAoYBKmAYoAKGASpgGKDAmB8LxgL4 dHlneQAAAABJRU5ErkJggg==</item> <item item-id="84">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAYCAYAAABDX1s+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFwSURBVFhH7ZZRssIgDEVZFwtiPayG zbAYHpBECOQpY1qrU85MP6ykhcMNatKGsYUMbCEDW8jAFjKwhQzcWkj0Nhlj6uUC3LuvkOCy CJfAQ0gOpdxUSEzetlRUiiDrZyHBQYT6GNVo5cERPl4ALKDtqJLokzU2+X5BeI8JqTIeCy+T KEUwGcuqCZpoX7eKplYJaxcC2qYT0vqoEZJ3braJFIEkqqaIFz9FW0spFq9Xz1oSIsUow1PT Ucf3Dy0PXIy0pvYIJCF1TpOQcVIYa8k4HkJNFIxd2mhN7RFIm4/3hpaRBsnnxxzz9UVpagvq lhHeRz8c86H6GAVFxvl8jtBuZmn4/ZVCDoGlFM6P8n4mpMDsU0HtuXKvS9BHWwY35+Bzpm4M rpXePQlZZjxzxDPoHzS1J/O+kExJU//TKf9XkdHUnolKSF4KRjlfYt6hN3l7EK9qr0EpZI3o /Ve0wwonC4EUfEs7rPCRhPwSWwgjpT+zCf0k8Zr6kwAAAABJRU5ErkJggg==</item> <item item-id="85">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAYCAYAAABDX1s+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFQSURBVFhH7ZWNEYMgDEaZi4GYJ9Ow DMPQBEgLUVBaivbKu+OuPyrw+BKVXxQsIYIlRLCECJYQwRIi+HMhzoNWXmnAT5E/FmK9USiD xhLywoFuC7EmWcNhbPxN3jSfFG1l8FzH0hQSZDz/pEVoDy4uRkNFhwOvFV2Xvp+GN5nPOZ+G kFhTnIqI9WBMfcPWpDT1CyH5LDksqpy4SZ7i3dHxrLqQykmXqdmDRHYKCXPl8adnjC+HMxwI kYtKsW4af0MIJauQHOfpONhhHJSM2FiQ1OgfgX4h2xLpEzKnZJAw0fNhnA7APsI34OY3k80X MhLZEgohRGGfL2w2zxklkw5naJ+hdWd7TXvYCOnnDSGyX+32r2u4RghCScxfu+0+NY/PhKSm y7HbRj7FsigPhssAxxXNo8KAhBzjAG5RDmf4spCYgruUwxmmJOSXWEIKvH8AJrUp1yTTDfMA AAAASUVORK5CYII=</item> <item item-id="86">iVBORw0KGgoAAAANSUhEUgAAAEIAAAAYCAYAAABOQSt5AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFOSURBVFhH7ZXtEYMgDIaZi4GYh2lc hmFSCOEavpQ2olfLc8cPq7Hw8AYVLJAlglgiiCWCWCKIJYKoRWwGlFJsGNjo1pPJRZAEw1a+ mf+QkYlwVoPiFgLOglYarKPrh5KJwN0vRYSUaAv3eXBg9fxUdkRsYNIZ0ZWQJrj3TA9JrRxM flpfGH7Nx4notEZ4VtOPzZbaQVqbLaIcR+8q14Pnop8DXSJNER6cLN85fBmPakjQYHQltSfz ljooIlpjk63OjRj1oY2V1J5Eag38T0ki6jiPL0ZSGxC3RmtTmyL8y1L/IhjlfKJ3ipCC/8/O iHTdTES8+bZcTfLS1oj3z/t8si+iH9oY3OixM6KkPPCqA3AHSe1EvhPhCc/yT2DWTgdIamfB RMQIjk8qRbYnjyKYtUHiqPZ6skTMwFl7e+xHmCji04Tdy/RE/ApLBALwAilUK3sF9KgOAAAA AElFTkSuQmCC</item> <item item-id="87">iVBORw0KGgoAAAANSUhEUgAAAEMAAAAYCAYAAAChg0BHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFbSURBVFhH7ZXhEYMgDEaZi4GYh2lc hmFSExIvaLBoRdse784fSgvk+QUdDBaGDMWQoRgyFEOGYshQbGVMAZxz6gow8dA/kaJfagxc YCmDRcggMoU/FEJ1Sk0TBK65kEG2tAkkRfDOQ0x8//MkiL584STHx1IGpWAtg3/4nIu8+cvS ab1cflaRkaNDPbUn4nRqpMA38/egaBGB6+U7wkxGrWA+X9wJGbiO5z+ZrblDPsN2rndzfSRj hjZsvkGc5KAMkqs3g3Nc1AItWDJoT40ybJvICRk4VyHWONB6YiWdn92ejG1bHJPxcZsY60l9 WxnzhNLPBEfIXuN+GZdQpBNryOubyaANi+mqCOSONsnjl31aGV2jrN12ZlQ5IWN9gK7vH+R+ GTO4jv60Fm35IEpGjmPzxvgsqbdS7kX74JXoH5XflyIZPUgxfkULtNBRxsGkfQHdk/FLDBkL AC+t4ZTBTAyObAAAAABJRU5ErkJggg==</item> <item item-id="88">iVBORw0KGgoAAAANSUhEUgAAALMAAAAYCAYAAACxz8zeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKjSURBVHhe7ZgLkqwgDEVdlwtyPazG zbgYXhLB5i8fQYeXU0XVTEskuX0JzCySYSaBzcxMA5uZmQY2MzMNbGZmGtjMzDRcZt63RS6L MbZdPXGfbfL3hGllSt33zch7XO52Zz6EXGHxVRzqgx8obOhz5gFm0l0Z2diTalP2N7R/zaBk Vmnph2Kb2THP81ndDynWfCMeYrVOF4I2q1NbBwJ3ZkwedtIq4Cf9e/9ERmAe21pvEv+q9U2+ qnuZmUlj18y4UQdoHP4DUB17lBMkEj7mlPhojuJE82O1+e7GHSSyZ5Qzjzfrs8jSHajudDV5 YUyNmXe54TrJtZ7VOOqC88tfQbRwIfhcix08WhKUxFKyGSPNKay9zC7FBoaJmGJUfS53usME VXO5mevyqjWzQWTzPa1x3AWqS+gAC3pmFohmySy4JbaWhJjBjvBmfRQf0f0C31lo5oK8SBfa MJGRMF3QzAAZztS6g8aJloYT3G6m8O5AZ8vP2lgtsbV4xSPqmAot3LM+Zda4IRK6X+CcQjNX 14TzMk0GxMxM65vfQQeNq8zsHwn5iZTGBjtDYKQJfPnKVKEOOLI+nz5mrs8L57WbmdY3DNhD 4//EzK7IqvhNwL1ZCwz1qucj6/OZwMyQv9UkVOMw1+qhcdAFNFmZhIa7QocjIiu2ES00DZ0D HX/4mWGOl+q71f2i3Mz1eeG88s7s1uKt00Hj+5YWwr2DBu+kEVpiR/H5+irMPCSvn5lvackn EltnZgCTNv81kv7r26YldhTfrq/CzMAI3XGNLDMDT2tcbWZ4xdnao8fhefezjwPNXewX+Gh9 1IXUu2H4r39T9/P9+aZ8VuMGM+dxCAEpzctX65tJ99xaOpq5dJf+Nb5a30y6l9XSvTMzzCjY zMwkSPkPJsSq0OV+jC4AAAAASUVORK5CYII=</item> <item item-id="89">iVBORw0KGgoAAAANSUhEUgAAALMAAAAYCAYAAACxz8zeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJ1SURBVHhe7ZgBcq0gDEVdlwtyPazG zbgYSiJUQIKCiCnNmWGm//kKuddL4HfSgjAIEmZhGCTMwjBImIVhkDALwyBhFobhN8zrMulp 8say2ifxs0UfT4SnDOn7unh196s97Myb0rNZfFab/eAAjE19LjRgJN9tkL09aTfl+4E+XzOw mFkH/oHZfnVCe9j6vmk13w/ipubgdEFws0baXiBxZ4bizU6alfnJ/fv9QnrgH9vObzT/V+uX cPW9LMzocRxm2KgdPE7/B9Aee1iTKYQ85qp3nH1xEKwLkS58V+MKNPkUlL2OL/UFMPL9AH6n JsyrXuy7ya7VUAuZgv3lz2YhQggeizBZeSEwt3tRyWPJY1/jeuTZjQ2XWbVaTGCo+jvpi+Hi +0FtmD2owDbWQqfAdgmyOyAQksJCcF7fHJjjvllVEGbuwcl1qA/0MfAdfcGQESOzCZJhNtDX uXZaMi0NvhB3s5iKQmA3BqL24yK/zkNO4gF7TGUXfkGfDSu9LjffG3RmALtwap52WrqH+Xy8 5U1NdobEyJOo86UOWKrvDA/fD9qEuWVnprT8kzDHJlvxizL3Zmew0XIqomdoHDx8P4DvFYbZ 1B80Cds40mu105JMAX7ZhgQHqbi8EOqIuDb1Oc5oHK4GPP7gs5SOvvp4+l4RZjNprIVep52W 65aWpaKQ+P6avM9ygas+vr5T1wyadlr6h9kAgv0/q+TvrV/CVR9f37uE2ZDSUh9m3A25YwSK NM+C48BhjwV4XiS8I1z1sfZ9n//2Jmms5WFnvmZTypQ0Llz1jeT7XS0vhrlwl/45uOobyfcy La93ZkHohYRZGAStfwDOq+w0ososGgAAAABJRU5ErkJggg==</item> <item item-id="90">iVBORw0KGgoAAAANSUhEUgAAAXoAAACuCAYAAAA4eMYdAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABBgSURBVHhe7d2LkaM6EIXhiWsDcjxE 42QmGC+tBwjRAgmEB7f/r4qqOx4QD7UOMrN1+XkBAEz7yKD/+flxCwBgH0EPAMYR9ABgHEEP AMYR9ABgHEH/4X6Hf9P1eDzDhwCQIOg/2fMxXofHy+f78/Ug7AEoCPq/8Du8/p1O5N/X8C8L dgn+f8P4GwCYrdLy+fAhKksMEfd4oCpAfPjMs8xr7AX9uXO4mIT8z7/XcPZAtHZ6tQ3AlEVa uoCcwlBCW0LDh/e/G6XHVtC3n0O8OaXb1Wrc1gXxuG6P5yuLxzYRj28ArCVpqYXE8zU8Hodn ienMWl0OJlLcfq39HOQY4w3AzfobjqlpWxfM43H3+lZB0AOoNKdl4Wv/coZ8D8Wgbz0Ht34a lhKUlY+dWraNIX9gKX6T0oI+fGMg6AGksqDPgyo8mrhZcsQQXGk9BwnLxQ3Ar1t1uq3bTmFf uBm0cuea3dS0zwB8vSQtZUaqBcfx5/N/8+im/hzWj1vqg/7QtuFY+tw41/u7zR+cAdzKIi1d ME/J4YPk5zG8hnHx4TEGaZeQOqcc9G3n8PagFz1n3YtvFXKTqzt2AN9llZaLWXgMkemxw15A hWDt9XiiYCvoRfU5tD5+SZ3ZVsK+UyK7G044V0IegKacljcWg+00N7tObkr5z1vObAsAb/Td QT+S2X/6TyRb/h5xZlsAeJevD/oxosPjpnFRn334Z9/LxzTR3rYA8PcI+kq/w8BjGQAfiaDf 5WftPJYB8KkIegAwjqAHAOMIegAwjqAHAOMIegAwjqAHAOMIegAwjqAHAOMIegAwjqAHAOMI egAwjqAHAOMIegAwjqAHAOMIegAwjqD/eOEtV+obsACAoP9w4TWHshD0AAoI+r/wO7z+dXzH rLyYnKAHUGIy6J+PMMsdl5intwlDCfmff6+ebyYk6AFsMRf0LuSn0JPn1xKqO+99PRy+4fm4 HE9N0Lr9jOt2nM0Lgh7AFmNB759ZL3P0+Roej3KQPx+hvfagl5tKvHm4sN0K8LifCwKZoAew xVbQF2bmy1m+Rm4QjUHv9vUYt4ykjfTnxHQzaV+K30ISBD2ALQaDPg/b8Hhl83HJgaCX8F6E q99PcTdT2BduBicQ9AC22Ap6LbDDc/HtmXF70K8f1ewEveAZPYA/YCzoZeKcBmmczQ+vYVx8 EI6hvgraNwW9KDxeOmP/0RSAb2Yu6IULvrDOFICbf3R9w6OblIR91Yp75LiTc+18AwFgg8mg b3cg6PO/B+Q/A8BNEPTOgaAf5f+8suZfyADAuxH08Q+kYVk/UQmPR9Rn4OFvAPL7Lo9iAKA/ gr7S7zDwWAbARyLod/lZO49lAHwqgh4AjCPoAcA4gh4AjCPoAcA4gh4AjCPoAcA4gh4AjCPo AcA4gh4AjCPoAcA4gh4AjCPoAcA4gh4AjCPoAcA480Gfvj/22neD+BeUXP3+EfdS8k7ns3i3 riyr9+v6Jf4vmlvX7y+86EV9CQyAEtNBn77qz4XUZQExv2nq0qB3gRrfS9vpxhLesLVsZ+NF 563rdxPe9CULQQ80MRz075lhT9QA7EkJUwn+s6GnHLfcFIvn0bp+Z+4bDUEPNLEb9JcHb+bI /sI28Xz8EmfsGbdu9gJz7bNWi+OumJm3rt8ZQQ+0Mxn06XNsv8Qw9ME0fZ4GxhRg8RFBIXBL FgHoZ7nTfrQkbJ2NLx7bRB2+tUzHXRnaret3RtAD7b5oRu+Daf5DYQh9CY3FHxMbAz5aBf3W THvc96MxrC4O+nj+u39IbV2/M4IeaPc9Qa8FZbpOvn6rafua8I3fGrSlcKPZO/6jkjbit5DN 8G5dP7H4lqMtFSdC0APtvibo/eMcfUbsgupsaIbt47FttzPutzWsXPtXP6OvCO/W9Tsj6IF2 XzajzwM4mX3n67dKtvc3lZ1HN/9aA3r9TLxL6CnnvRneret3RtAD7b4n6ENQprP6RWh0DHrh w6/wGEaoz9x3yDZTyNU8IqpQOO9ieLeu35nbD0EPNLEZ9GH2Pi1TKsWwD0sWmvHz5vAM4ee3 9zN1P6uPnxUCPT/OrXWDtF39OMM5TueW/zyL4TwthesRfzc0rp/v75x8HycfWQFfxO6MHgDg EPQAYBxBDwDGEfQAYBxBDwDGEfQAYBxBDwDGEfQAYBxBDwDGEfQAYBxBDwDGEfQAYBxBDwDG EfQKbiQALCHoFQQ9AEsIegVBD8ASgl5B0AOwhKBXEPQALCHoFQT9RdyrEytfAdiyrnvNYPoK Rv/aweZXQi6U2sj39U3y1zmmy15f0Ud/iaBXXN3+t2p5gXj1uu6GkA7q+b3Ax0NkDjS1DfeO 4O99Z+3ipfpOvOaFa0If/TmCXnF1+7cng+T4CCzws6yHBPjui8Nr1y3M3MLL2k+dwl4b7vdW Zo0SvPXnsg76Ubhe6xszfXQHBL1ir/0425QlFpla/J/IDY7+MyG5Pi4EKh7J1K4r/aDO+N8R IiPX55U7uXfNdAh6F+jr/qCP7oGgV2y174ph6ngZIBJE/quoWtBunVBATQXjB86pgSBagjsM nNqBUS9eJ/lvPRBmtevK7wrnlQVAOoCrz21qI+m/fFu3zn5A3r9mZH/ngt59tuoPy300cm0X zq/oaB+dQ9Aryu1rnfR8DY9HscOlgGKh1M8u5sI9VRBuRiztVBRjXLcpWCpJ28mJ+EFdGHy1 67rjLbSxCpHWwTgKbUzXzu0vb6dm0H5Czci2jUHvrk26fFcf+X0l+67SaVwfQNAriu0X7uDL 2UDCrZ8WuhRU7YDyRXG+IGSfO8U4FW37UpztJOT6LM4j7E87t9p1fdjshUjNIC/Igkjve9/+ 5jW4ac24/Y/HXlw2GnHXXp3RL6+F2T6aSNs7Y2ul17huQ9Ariu2vBqEId2mt5ySkFoXS0snp ur5Y3XHlhTfuY7u9ymKcwr42VCqFwRiv6WLJD7xh3ZoQidvWXe9MaGPaNv/ZUUIk7juu6H6+ Wc2syHb1/a4F/XROybma7aNJ5dhaONpH5xD0inL7SseGotFmDK7QF4WSdvKe5brFr7a9gl7k A6ADuQbatfEzyuXgalnXBeJOiMhp+LBpHYyjpA31Z8cP1Obr/9c1syLbFa6lwh2jEky+n5J9 Gu2jWcPYmhzto3MIesVW+66Y58pynfbzGF7DuPj+Gjs//L7PoN3ZpmfQC1fgnYrPtbU90KeB 1LKus3FeYf14XdQbxZ6sjdXPYuuYE7ermRVZv/76aEHvwzo9T2Gzj2aNY8s52kfnEPSKvfZ9 UYYlFrybvchnScfLZ4sB0dK5odhcm8tCXew/X3oUowyOsxUYBp0/rmz/i9/ly866yfWU67Ca cSn7nULILem1lGuTfybi56GNp34u61Au++ua2Sbb1ayfXhdlUQ7SZB9N5Bi0z7cc7aNzCHpF t/ZdQSedmf+8aR7grgBLxToW4nYdHynGT9Hn3H6Hx4E2ZN8XDNR31MxbGeyjyZFz+5s+IugV PdtPZzQyu1jNbormgvAFVZjVfXXQj1wQnjk/uc6tYbDRHx1cXjPvZrCPvCNj62/6iKBX9G3f d6xrU+1R39nLr+vjp3K3d8chhZS0ka23GfRugMV2bjLoLyHX8MjMTa5r60A9uq8WF9fMnzDW R7tj6159RNArrm5f8zsM1xYmzKFm7u8ufUTQK94b9P6uXv/1HKBm7u9efUTQK94b9ABwLYJe QdADsISgVxD0ACwh6BUEPQBLCHoFQQ/AEoJeQdADsISgVxD0ACwh6BUEPQBLCHoFQQ/AEoJe QdADsISgVxD0ACwh6BUEPQBLCHoFQQ/AEoJeQdADsISgVxD0ACwh6BUE/Vnh7TqlZfdVV/kb gnx7596QVWoj39c32emn4luP6J9PQ9Arrm7/W/g3+y8H6fy2/8LgdW/dT383v27teJDMgaa2 cfqdpp/N9ckq1OW6K31E/3wkgl5xdfu3JwPr+KidaEHvuLAYr/EqXAqzt/B+zlOHtNeG+72y 749UCOkCPeg19M+nIugVe+3PL/idC7N+sNycG1B9Zk/FoB/5a7jcj3ymvnrtHUEycsdbuZN7 18D5oH8O6/Ogfz4XQa/Yat8V0FQsMqDmt7kX3w95KDz919lTg0e07DsMttrBtMcNrELQ+9+l 5yfnWzjOLATSQVx9rFMb86OG1bZunf2AbK+BZJ9NQXO0BmR/Z4J+3O/qOC33z8i1XTlOJp3G 6BsQ9Ipy+1rHPl/D41EukviYoqmI5mI/VUQt+y4+TjluK+jj/qaB534urLsKktYBOQptTNfC 7S9vp2bgtteABE88T3dNqjr1TA3Ito1B765NsuR1YLh//L6SfVfpNEbfhKBXFNsv3PWXMwiN FF9LEQlfSOeLqGLfU6G3L8UZ0mgr6GO4xPPbvClMQVIz0AuyMPI/59fFt791Tvp2GzXg1k/P S/ZRG8L1NbCYRWvLRiPu2i+OfTzG7FzM9s9E2t4ZJyu9xuj1CHpFsf3VoBXhzr7Z22eLyBe4 O668WMeQ3i60yn1PYV8bQvu2wsEH03xcNUES++XQwFKDJG9LCZK477hiaw3IdV30WUs4VNbA imxX34/roB/3lj2jN9s/k8pxsnC0f96PoFeU21eKIRTa5izjdBGNLZS+DvcKepEPmpOK4RBv Kul+3GfbQSKr+zZbr+UoaUP92fGDdfv022rAHe+iwWW/bqusgRXZ7lzQe8/XEHdotH9mDeNk crR/3o+gV2y172aiczW6jv55DK9hXHwfjwWzqsQzRbQsppWeQS/coOhTsFrQ+8/k+uahsXGc 2aD33wbqg8ypCRL32X67LTXQJ+hbthGyfv310YM+36fN/pk1jhPnaP+8H0Gv2GvfF3JY4gCJ s1S1WI4XkW9zWdyL/edLjwKWAXWqamWfyrGFpTSzkvNa/S4MeL+tP4/5ZiFLem3ifvMwSI9n bOO5blOsQ7msugbks0WItoRCuQa2yXY162/3k1Z35vpnIsegfb7laP+8H0Gv6N/+8SKSunZF Wyrw3jP6P9XnWH+Hx4E2ZN8XDNZ8Flo5K/Uqa+BtDPbP5Mi53a1/ygh6xd2C3m9fmAWaCvqR C8IzxyvXrTUQNq5vB+lMWGal28+KU5U18E4G+8c7Mk5u2D8FBL2ia/uLr7ZaIfgCyZ+Rzl89 pfh8Qbmfs/U2g35333cl1+TI7E2uU+tgPbqvFkn/qZ1wsgbezlj/XD1Gb4CgV1zdvuZ3GK4t ZtweNXBvn9w/BL3ivUHvZwL1X+dhDzVwb5/fPwS94r1BDwDXIugBwDiCHgCMI+gBwDiCHgCM I+gBwDiCHgCMI+gBwDiCHgCMI+gBwDiCHgCMI+gBwDiCHgCMI+gBwDiCHgCMI+gBwDiCHgCM I+gBwDiTQT+/tHd+0a+8ff+OL+0FgKuZC3oX8lOgx7fO805OAN/LWNA/X49kFu89X8Pj8fr3 I4EfPgKAL2Ir6H8HNdCXs3wA+C4Gg/4xzuFT/rHNz3KaDwBfw1bQu0c32YzehT/P5wF8L2NB Hx7TTLP3OJsfXsO4+KgfbwbM7gF8EXNBL9J/Xjk9m38+wmf8URbAdzEZ9ACAGUEPAMYR9ABg HEEPAMaRlgBg2uv1HwGhJhh2+HzhAAAAAElFTkSuQmCC</item> <item item-id="91">iVBORw0KGgoAAAANSUhEUgAAAcQAAACuCAYAAACoR32XAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABI+SURBVHhe7d0LkrMst4bhHpcDcjyO JpPJYGyOBpaA4CHxcF+7rL/yNkFxgU+0+9v5GwEAwHi5QPz7+zMbAAB7IhABAFAIRAAAFAIR AACFQAQAQJkny6ufQsdu/fhyPzqDxUA8+fEDAM4pThYXJn2QIK/+XKHigy7pAscPADinKFne Qzf+hWmivYex++vG4e1e/1gpEE9//PpY5PEBAE4hShZzNyUv2PquqxvG5Tx5j0N3/N1YKRC3 Hf/BTvbBAgAQywTia+xd8JwiTAJ1gVhz/D7AS21yGt9rwlC13enu0NwJ+/Ht2C8APNnyHeLK OxvTV3jRltvKi7h/f0rL8eu2nfvH5KPWgqb3+j/y2euDhRyP6Z87TwDYajkQFXPRP8mdYnMg KrPjN6ESPtrVd5SVj3pb3uvDcMXmA7fEjNe0JxABYKuqQLQX9mN/N1jLB0ZK9fHr11HA20eg pRu9Set7p1Dc7/z5R6Zmn6Z/AhEAtjrsDvFz95LZqtJnzr8/pfb4zeuoXX0grnqvuatcP+ZI KtwJRADYbB6I6sIdPa5zF/M9ruV7WAzEiuP/eiBq5ji2B5fZf9CPfA0AWCd5h2gvsjZc9FYT FD4YzvCfXSwef+tjz9CW9+pQrDuZBcFf0Kqt63t795kaJwCgWjIQz8wHQUr18Zu7tSC45euS Le8FAJzWMwNR0W3D/3Si5q86vS3vBQCcU5As9tHf2S/u+UBsPX7/iDcXou7RZPKPiZbeCwC4 mvSt1onlA/EY72HgcSgAPACBmHWNO2YAwD4IRAAAFAIRAACFQAQAQCEQAQBQCEQAABQCEQAA hUAEAEAhEAEAUAhEAAAUAhEAAIVABABAIRABAFAIRAAAFAIRAACFQAQAQLlfIL76qY3d+lt+ we976KYx8qX9ALDdvQLRhWEYEK/+hqFoxunH9Bp7QhEANrtVIJq7JpkM72Hs/rrxFF98r49l c3LZb/KPutEB2Q3qJwCAtW4ViOZuUAbOWcJir2BO9XOm0AeAi7ppINrHiKZtKQxXB4m9S1vs 3zP78ce2UfS41OOxKQBsdf87xFzoud83/q0IRL2fzr0p+Zg25Pez110qgQgAh7h/IComtJKB pIOkMRBNwIaBpPvI/NHOFLrtmw/cmVQgujtQAhEA1ntEIKbvqrQVgaj7isI18UcuoSkUM6HZ KnXHm7sLBgBU4w6xMUjmj0gXAlFzd3DFR6vV5vvLjw8AUOt+gah+Fj1uLD5O/FIganvexUV3 qXoMFfsHABTd8g7RhJZrp7d8WHzhkWlIh+JOyRWOkTAEgO1uGYj1VgSiudMLfh8oXwMALolA XPEYU+8n/M8usn8RCgC4jBsFon10WR1O7neLvr95jtrfzaX/WMXuy7yX55UAcAu3ukM8wnsY eBwKAA9AIGY13nECAC6NQAQAQCEQAQBQCEQAABQCEQAAhUAEAEAhEAEAUAhEAAAUAhEAAIVA BABAIRABAFAIRAAAFAIRAACFQAQAQCEQAQBQbh2I5hv0Xftjv8fXfpnw0d8VrL+df6/xhOfG bP6LkF999O/+669a2+/PfSlz8gubAWC72waivoBHF/PDLqSfb88/NBBN8PTuy4p3CuD3MHaz fux4kn23tt+NHa+pPYEI4CA3DcTv3LFNkkGxp0To6IDcGg6J49YfHrLjaG2/M3OHTCACOMg9 A/HwgBLW7M+9x4/Hbv4OUDBtuzF6Gpn6t1bRcVfc6bW23xmBCOBItwvE8PdsdvOhYS/g07+H F9bpQu8fzWWCKScKCnvXNO0nlRitd3fR41Jvh7vg6bgrw621/c4IRABHesgdor2Af/7gw4Wj vrhGfxTSGITeLBBLd25q333jRf3gQPTjX/yDmNb2OyMQARzpGYGYCpSwjWzfanp/TUj5u9DU lgnkpeNfK+jD39UWQ661fSC6a05tFQMhEAEc6RGBaB+jpu+wzAV9a7i49/tjK/ej9tt6UTf9 H/07xIqQa22/MwIRwJEedIcogyq4m5PtWwXvt+G78Mi0aw2y+e/sdgmHxLiLIdfafmcEIoAj PSMQXaCEd4nRxXXHQNRsSGQef2rJ3wku0O+ZwqDm0WyFzLizIdfafmdmPwQigIPcLxDd3eC0 TVdvH4puE+Hi/705ZFxI2PfbOz97l+j/LRN88jhLbZ2w3/RxujFOY5OvP3yITVvmfPifDY3t 5f62kfvY+KgYABLueYcIAEAjAhEAAIVABABAIRABAFAIRAAAFAIRAACFQAQAQCEQAQBQCEQA ABQCEQAAhUAEAEAhEAEAUAhEAAAUAlEgcAHgmQhEgUAEgGciEAUCEQCeiUAUCEQAeCYCUSAQ AeCZCERhsf9XP7WxWz++3I+QYc5ZNw5v97qkpa068310/vXrv7HfVJBcH3JflS4/X+z5iMfg t6U6UZ+vk+PphvGt/m/o9f8KLW2NC9RzIwJRKPbvJlBYvFev2198ER3MnqO/satIueq2phbh eVcLubPvXb9A7eLM9vEexq46rJUbzZf30LkLpufPd+Z8UJ+vs8cuxm/OyXxMLW2NK9RzBwSi UOrfXBRk5X5QtMPosayf3Rn2k16vF2B0QU2pbWvbzY7ULehNQ1jqw/y87oJ57vmiL2h149Dm gai4czX/8EJ9tltRn+x5ievR0ta6Rj33QCAKpf7NpypZOf3JafFCfwEHXQj04jMXTPMJs9x/ bVtdh+Qd5DcWqJK8kCace77sEIjmQjmvBfXZQ0t9bB1Kx/0eBtdXS1vrKvXcA4Eo1AWim1R6 y06szyOFtgVm+95cfzPRKgPOTcr9J50+B/4Y0hfPj9q2+meZcYnFZeqlx9UytqmPoH7yvabN 8sXq3PNF729bIJp/m9XirvVRTL+ZsWV9oT7unOTXVqClrXGdeu6BQBRK/X8WUMAUaz5hdFs/ 6eo/4XwmRe18SjJ3WLqfisXr2zZdhCvpvoOB2AWTmdi1bc3xZvqYLdDWi5fi+pjOndmf7Kfu Infu+dJwwVVs+Nl9fbbn1MfuJ9hvlS/Vxx1bVci1tNUuVM89EIhCqf/kAlJmn55NkcNJpAta ObndItpe/MInO29a5O1bzYLS5ysah9tfamy1be2FeWmBblhAYpHb1+kFunQOzjZfzPGo485u hU5mx6z4kAzPwy3rM9H9LqypmS/Ux62VqpBraatcqZ57IBCFUv+5BWQnWTBp9OtoQbWEXNjW TgRzTHKBqn2U+6tcvG6BZCf9Wm6i+/MZbfLAG9rWLFD/3rrzLSQXqOwrsUD9voOGp5ovM/p9 9TVPh4TddziWW9ZnUrmmIt+oj+s3NZaZlrb6tJ20ngchEIVS/7WfKM3rqF24KJbEbbOPIfYK RC1xsdhKn4PUBLafguMF1tJWj3tpgeph2IXcevFSGhbo0uk61XyZabngzo/ZszUK9nnD+nw0 rKnJd+ozq4Ogx/Q5hvq2V6rnHghEYTEQ1c9SnzzDYpnJEVVvzQVu4T17BqJmxrFiQqeYvsqL aDqHLW2Nwrhce39ebL3qLyqG6GP2Wisdc+BU82VGt68/N+YYRUjYi6AaY7TT+9XnY0sgHlsf vx89HrkPPc54DbW0vU4990AgCqX+TcFVpaYLgdvkpFINxcWjZTF8JqucXH4BJ7f5QbQvXj3x 6g4yz01oe1xi/9HP5LbQNjif80WrJPYb1yk8l/rcyH/T/L+7Pl7pscwDLO3X86VMv6+mfXhO ElviIG9Xn4ne/2c/dY6uT0yOpTSe2rZXqeceCESh1L9fQIvMZAmKL18XfS6Gxf3tfYd4KfuM 7T30K/rQ+66r5anmy1fdrD6TNeM6Y31aXaOeeyAQhV0CUdFt/acq/Qln9gkr67OA7GRIf2pT O3hwIComNLaMb80n8EI9Ek41X77tZvWx1qypk9an1QXquQcCUcj3byd264XK9JesqC22/L2M WaTmGPTkC/oQ7YqBaCav7+eiC7CKPodrPj3q89q6uFv3dbL58hM3qs/imrpifVqduZ77IBCF o/uX5P+bJKCE+XJu1OfaCEThe4HY+AkVD8d8OTfqcwcEovC9QAQAnAmBKBCIAPBMBKJAIALA MxGIAoEIAM9EIAoEIgA8E4EoEIgA8EwEokAgAsAzEYgCgQgAz0QgCgQiADwTgSgQiADwTASi QCACwDMRiAKBCADPRCAKBCIAPBOBKBCIAPBMBKJAIALAMxGIwmL/r35qY7fvf6vzeblvDc9t i1/dL78l2/a37Rv/c32s/Ebuy9d/oUbZb3KnNt/2HrpoPOY8qTGmznlLW+sC9fwBAlEo9u8W XFjwV6/bX3vh7c0uzvicfBZs5lyZcxv+zH7hqjzfbewCzfbxHsburxurv9P1RvU39ZiFnz7n ibFQmy/z5zc+djseeb5a2jpXqOePEIhCqX9zEZHVvkihq+ixrF8Rk1QgGu6iNb8QZz5BmnO7 ZZEqS32Ynyf2nXDu+mfCLCMdiCnUZrsVtckdt1pD4bfyt7S1rlHPXyEQhVL/5lOXrLa+yFdd WE5ux4uHXaTpiW8/ucb70f82X7jKNxapkryYJpy7/tsD8TXMx0Ft9tBSG3enVXViW9paV6nn rxCIQl0guomot9KCMxOkNWRs35vnTMu+3UTea6KWAtH+LByfHm/mOMUCM+dfH2fLsU59fB4L zd5r2ixfsNrqH+yv6aK8tv5bA1Htd3acd62NYvr91tpsqI0O8dp9tLQ1rlPPXyEQhVL/n0UX yC0sN1mzjzOSPhOpfpIntOzbt226aJeVAtHvb/qUal5n2s4WaesFTHF9TOfC7E/2U3eha6m/ buvHWP+peEv9Gy66iv9gEm1yDty0NnY/wX6rfKc28w+MznSu3KYatLQ1LlTPXyEQhVL/yUWn mImZDJTCJ7Isu/C2T5iKfU8XhvYt+djFsQs1vfDkIi619Qusf21YRGKh29fpRVoak1Zdf7OP cEy6/7oLonpzdf3N8ajjzm6FTuZzVh2jmMO3rM1E93vc2lxdG7cm0+N1oezf29JWuVI9f4VA FEr95xadnZipibZ10dnJY45JLmq1z/Kkrdz3FIq1F+xlpYVnLxSf46pZpL4m+y1S2Vdikfp9 Bw2r669fR/Wqv5DGbQv1n9Hvq69hKijk7xBvWZtJ5fqIfKE2fmzJPu3+p3G2tFVOW88TIRCF Uv+5RZe6uFhbF53eZ+b9ewWi5hdDucNq2YXnwzfcT/aCpQQLyvbZei6VhkW6NPza+pvXUbu4 pmWV9Z/R76u86CqlOTv4Hd6wNh8Hrs2ZttqYsSTHbPcfjrOl7ZXq+SsEolDq30++1KfVdIG3 LLp48c3sGYiaGceKRZBgF1S88Oy/6fMnF2ThOMW5tee//sJi1CxS82/L/dbW34w13kG5lpHK +s/o9vXnJh0Ucp/3q83HgWtzpq029tjseOJ92P3Gc6u17TXq+SsEolDq30wSVd3Pxd1uUcEj 6xed7TueOH7RJ7fZQazYt56s+cFU+CzO1JZ7TKLHNfuZW0z2vXYc8XkPz43fr1xo4fGoPl7z PrV5gKVV119/Eo/CpuUCmq9/mX5fTftyjVJz7la1mej9f/ZT5+jaxORYzJa8261ve5V6/gqB KJT694uu3vpFp3dT3N/ed4g/tc+xvod+RR9633UXq+r6y0/B8nVRZf2/5ma1mawZ19lqs8Y1 6vkrBKJwpkC07898yr1VIComNLYc75pP4YXzm9BSf93WfxLXn4pzd8dzlfX/ppvVxlqzPk5Y mzUuUM9fIRCFfP92MVRf2Myks33pbT4R7ASRjzXMwjbv0RPW7tO8lo8/SoG4uO+z0udkzSdI fZ5aF3jrvhrr79qbGiQLsLH+X3ej2hy9Ni/hzPX8HQJROLp/6T0Ml5goOAb1Py9q8zwEovC9 QGz8VIubof7nRW2eikAUvheIAIAzIRABAFAIRAAAFAIRAACFQAQAQCEQAQBQCEQAABQCEQAA hUAEAEAhEAEAUAhEAAAUAhEAAIVABABAIRABAFAIRAAAlPsF4quf2tjtGt/UDAD4rXsFogvD PkjAV08oAgCW3SoQ30M3/oVpqL2HsfvrRr78GgBQcqtANHeDMhD1XWM3jOQhAKDkpoH4GnvX jjAEANS4/x0ij0wBABXuH4iK+d0id4oAgIJHBKL5PSJ/aQoAKOAOEQAA5X6BqH7Whb8wNL9D jP/bRAAApFveIZo7QtdOb4QhAGDJLQMRAIBWBCIAAMqNAvE9Dp34/SEAAJVudYcIAMBaJAsA AOM4/gOdQxl1GKbHagAAAABJRU5ErkJggg==</item> <item item-id="92">iVBORw0KGgoAAAANSUhEUgAAAHkAAAAYCAYAAADeUlK2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJ+SURBVGhD7ZjRkcQgCIZTlwWlnlST ZlKMp4hZQFTMnXMzG/8ZHzYiIh+SzG5+6eu1IL9AC/ILtCC/QAvyC7Qgv0Al5HP327aRsfsT p96m63B3HvaBJHzW8dy1/Z1+x7nafuf+mXfHhU/74pARMN0gOX4haMhFPncC0AedQSn5avqL vz9rUjFwH8DhXpDWW0EzyOBcnuQ6vNucHyicL9DlDyegRkjuCDM1IWC1Ejr+rkv4jb5IzoGB KBxWNG0xyLxaUN3DfaG0wu4Ue7PjjfqLc5SDBhTWW7pLFTJWZRxVwKk62zZSxO+9Tvqx2EyW ektSXHpS05w7DhI7WT/iL8KTZ4T1WpH8CjJRpeKibX4nqG2+IbnPuev+ezY1wdo72croxToK GexDPgKcNJ2LEn0Y/dEPM26fbFmBa+Ar6kMOgs3pBgBeBiEPURfbJwSrJc5iM00alNbN0ezh GdoP+suw2YcV2n+KIA5bzk2QiyDjb9ZSlA+Lhu59YuCVRRabaYKEau2xcnM0iOHXfVNH/WE+ 61/PvXmuRze5bM8PIDtXvnuILDY1wdqi6snoBlqep+hmTEorZxBH/aUz1MLsrZUqIYdgtTZR BMhP9AxyI+EWm6li3UqBKAQ5IbcZ4qcLRvzFnKsQU56tbTpLvckp4OgsjSKYv2zXwb/Wdiw2 s0XzwM+GyRYgIGa01wqz6g/aPVkrAWMO4tyTPNjeyVKwKakm+bsjtg8eUG5rsVmy6RnkoGib qypW6EiFyX1ShfOPEIvNkk0EcmpBdlj5/VArjPTe4a0Hn+WBcwCUPqdDtVmwR8Ru8gxdR/6D YOm/NBHyaGdYmqXpN3np/7Ugf728/wE/T+ncb9P/4wAAAABJRU5ErkJggg==</item> <item item-id="93">iVBORw0KGgoAAAANSUhEUgAAAIIAAAAYCAYAAAA2/iXYAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJmSURBVGhD7ZhhkoUgCMc7lwfqPJ6m y3QYN4FeoJi41fR2lt+MH14iKvyhdqfkOBsuBAdwITiAC8EBXAgO4EJwgFoIy5ymaWJjTgtN OTVrDJ9YzQOBOtbJ+J77W9JMc639lvmYD3Glp32kEEgEfAN07GJQgXjtscEk9cWwJ1OJ6am/ /PtYg4KRPiBXnwW43ioGIQRwXt5kjSlMIQ2I65+wphiKxOdEhrjNtCARqGrp+FvXwm/2xfIC eSrEJYR1jhCCVBTRvdw/RSuQTtGcdtdRf3mO50pLOqy3dKmmEEi5eZyJoHPxGub34xsr4fht sfkC1GrDs+uBx7kQI7sfWz/iL8e9jAOs14R0SQiMVrJh43yZESEg5T7LXPuw2LTAyjsZlsj0 GBUCxSsnEKd3cZMPoz/+MSnt0VYUiiaOBn0hbMDmaiXmzS8KYTusFjiLzVOYhKQl7qwCNXt4 RvaD/nZBiI9BshdnrcSlYxKCekjgohDywdWo2WxeBYJe3F17tqPGkFX8qD/qKO2/Cnrzkvc6 Qgj1e45hsWkBa6vKYOMWYWGguat2nDIs6Tsi0aP+8J6tq/TWltRC2A6rtRt9w4tCOEmKxeZ1 cpV/gq0kugDb+dEV4I58wYi/nBc10cW3hxG1I+CBszMc7ctdEEJ2SiLT2pfF5hvgsZJxooQU yYJ7kb0m8KY/eLWwtaUIKE557jexsn0jNLkoBPxRX3rDYuPcx/tC2MAqkH4sNs59MCGMfWXy VqRXK77jZAujZ/ugOUg6f86HauOCuBvREZ5gjfs/UJxv5kEhDHYY51Ue7wjO38CF4Gyk9AOx UkPX0ZtoSAAAAABJRU5ErkJggg==</item> <item item-id="94">iVBORw0KGgoAAAANSUhEUgAAAFYAAAAYCAYAAABgBArrAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGXSURBVGhD7ZaNzYQgDECdi4GYh2lY hmH4SgFTKnpVfj5zx0tITq+iPNrq5hdDWGIHscQOYokdxBI7iCV2EEvsR5w3avObMvBLzhJ7 ifV6A6lhLLH9cUa1i7U67RAMbeO5JxN/E81iUeo+QegtyhsXe4wytWlT/7lVKqS89uv4PJKY eTSKjYvJWRqx3mjt1RYEp1OEsBFZON68vPgS3EQSb/XxHpKYM2jlVceNZ20T60xVYJnFBIzX oD4TNoYeX1NIs5ptaEQSM4MOYrmYVH71VbObxVjp4ndp4b4nF0liZtChFbCMRdn1/nos/Qdi oYeriweWxJyB1/Lyp+PGRjWKJRmC5Gw10GfzpCA//d9N7MUiJTEziM/RIDZQ7HSeLJQ9niMZ 3bMVwNy1qpDEjIV9nZy8xGscxIrBxZKezI8/sEuLB/jgfFMkMW/luVggLJx+bt3JqEIagK2F ZYQk5q00iYWlxj4cyqSaSqmUipbByiv9hxLpeTqqMe8W3ChWhjNG3CK+hcFiY0bPf+n8P1My 9hdZYofg/R/YpVJYjFLxVAAAAABJRU5ErkJggg==</item> <item item-id="95">iVBORw0KGgoAAAANSUhEUgAAAKsAAAAeCAYAAABT7+7fAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANCSURBVHhe7ZiLsYQgDACty4Ksh2ps xmI4EoLyCRD11HMuO+PM88kJJEtQB6soL0FlVV6Dyqq8BpVVeQ0qq3Idi7HjMFqz0PnKYs04 2GFwx2jcmQyVVbmGefIyMrLO02BH+udiRjtMM/7dQ2VVLmS2Uy4rVtvJXQlAm/i8jsqqXAgj K1TcZOv3jwSS4qqyKhdSylpu+yqr8hOorMoDwEuRf2Fijqpp+higvAZG1vwFq3jhqqOyNoFg bxVEsvoDuN3h7/JE0DdG9vvi8f7ktPqPx/2N/hlZHfmnq/B3D5W1CiR1Ey0ksZ/AIBxXLSIZ C1ngWt6frOLIafXvwG+joU/f9rCwWDGpr+I+tGDg2o4OVNYas8kqAgW4GVySoZMAFDGXZVkY ecuq9A3Y/ml+ydCL58tnKWSNH6TDwPnJ/R8Ym4aIPnb9aiiKJ1Smal9pFV6B3wjyxC8WqITc 8+U1C+YIiawY7HUSsNJgoH7FVZ8rdk8o2orgwP6ibQHPJW3uhqk8CX7MozHR2Hlxu7KKpMuE FYoKsP0njwABP6fG+ryVSFZuYLM101SXEScISdm/+vIqNU/lPSRtavgq1zj2ZqAnA8UC2vg7 h8VVCtuSFa+t4+Rl3yBhd4gKvF/WSoVMqy0HTOikrC5QXEAkbe6iu1C4ZJPA+bi7ldURpO2/ Kbv47xAVEMuKTvysrPnKourQHO1JWaHfyv0lbe4Aktvtnks2xuaYrCH2bVnh/q5PiM8OYdn+ Mf9ZHrn/PUj2GMANVhKwg7K6Z+JWkCVtauBv3dirh1R+J2EyfxcTw/6UEbOSbJmsfg71YZKo dIZ9CePE918+k0vHeRflC9Y62lBVXXLc4QfsAlRE76SsDXEkbS6FtvH0yKvnBiY3up7Gc8PP qyNBU75M1IBQ2Gr/MN/1/8zie5hEVgAnEhITBr4mjZPyhKwQCaw+fPWWtLkKLx7FIT7W7NFi zpKexK/ItBdgu18Ut3xhCKTbT6N/Ip73L4kKFLLu56Ss/oQNjqSN8j/8hqwOv6LT+0jaKP/D OVlpe65vG7TtJFtathXRtWT7zA+2jUr7b3yhsvZZTPhQrijHuVhWybdCRZFxS2VVlG+gsiov wdoPxZIO3cGBXL8AAAAASUVORK5CYII=</item> <item item-id="96">iVBORw0KGgoAAAANSUhEUgAAAEgAAAAYCAYAAABZY7uwAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHBSURBVFhH7ZaJjcQgDEWpi4Koh2rS TIrxYgOBYBMg125WfCkajSDm83zMKJg61ATU0ATU0ATU0ATU0ATU0HcALQaUUtljYAlLT+ob gAIckxFZzDuQPgFotRpUTge1WtBKg13D94fEAPnM+Cd6IoPawsNeqiJPJSCsqhc87QCRke3Q FazGDOGnAs1StYApyr6ukb1cCZCPQwmswvF+j/dIkj1mgKQNC1hjLpZyMnwdUKZKi+HemEyx NUXVPSZABwdeL2Vv4FZATqz16Q754Mak9w5y2WMBqAwWyIo3w8N7Kys/vKdN9qoBcgsuTuaZ zaWRxFQ80hpJuDBBk+ZPAHcKEN6j9z2v3griLXUWUPLIh/QWLUAw1s2haMJB3NbPVNCI4STy VSYqJC+PdQ+g/Ts7QKhoZtcC27/YHAgGGgPkY9RmQixrvh4TRwCiN/ewi9/QYqVHBqhf44DQ aK1dolZrWMzWO5vKOSrO1Zpkj68DcsdTpcj3xX31CuoR7s1/5vn8rEn2eBoQmS7KMQYuf53S XgTqjdB31g4ScL9/9KIUX4Q66DGs36rVWlYFf029Hm8GNJrt39CYx0cq6D9pAjoUwA8V/g20 FcReKAAAAABJRU5ErkJggg==</item> <item item-id="97">iVBORw0KGgoAAAANSUhEUgAAACIAAAAYCAYAAACfpi8JAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADvSURBVEhL7ZThDYQgDIWZi4GYp9Ow DMP0hIJXEDiB9OSHLzHRIPTr61OFm+gFKfWClNoYxBpUSrHLoI1LkspBIoRhla35D0wG4kCj 4hReDlArjeDis5AykNB9CeJd0oDCHC0QiyZlpAcx5RadXfb725FWsTPUIyAOQVOD4yCHQnaq zvjuRh0hmCkQ6r725ayCsAiEtagnHLGG9l9BDjrNTw4ZuVpJWgHJgaqOBAeSZU0Ir3kQOvs7 7nsZaWptNLzeoyC0n+4ZCL2Q5aOnmJ32+KhIGfKUQ/r/sDHFdTE5gDMHPQmCjDks7shdbQKC +AE+WsWz/WGJrQAAAABJRU5ErkJggg==</item> <item item-id="98">iVBORw0KGgoAAAANSUhEUgAAAHAAAAAYCAYAAAAiR3l8AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJWSURBVGhD7ZcBroMgDIY9FwfyPJzG y3gYHqUFS2kRZ0yeG39CsgkU+L8WtyVMvVoT4Ms1Ab5cE+DLNQG+XBPgy9UC3NawLAtra9io 69e0e1d8WE9N2MLKfNPGb+vR7/xOT1sd60rv9+BdfO58/ISqARI8vjgu+oMQkxf53AjHhgj9 h0cIoPYs+VgCYLwWYk4CzW+WIBbAtLDc5e6DW1zoJMwXCjO9sgKAMuMq7bt4DmYzz5KHAkqV ICACZGdJUmJkAayzhNTb+LdKS9oriQxjuY8NrKgU70iS0ZtuEKBero2uHCqJxS2x6V4v30fG 2CrzTlpXmuG0r5MCQU/kHlM8LSFyPIztvGdn12Fer0ALUtoULHQFIEqus61tjJExmjikXuvq Q4D47str8PmUlBwsh0peAnickxO2hXgdYJScdAg2dhNg3LxmysiYx6QBFFdeTxlk9SOF5h+A odEa2noEVa73EUB1gaSbAOFQhiMjYx6Tdutoz0xhBdl/FUS/6q9e8f+nAp1r3xVMI2M01Rlu t77QYG6F7YEu2L+Vd20sBZaRMOcAYyCt9PXN3AQIZhqnHBmjSYKy2qmgKopRejWYAs9U2Cfv NvY8nV9ZEH3pAYyTMBgeFJq98RsAISglh3bVjIx5WtyH2gMCkY2k91VpEh6dAfp650hnzjEa 0zGJSj/5PnSF2roJEL+kDcllR8ZM/QeAUZjpdZyRMVMVwLNfTkLsWtCrg0q+uk7ENUB9CRZ/ zps6ZoLMGnib39Pu85/TqSf0IMCLFT31kR6vwKlnNQG+WiH8AVX8d5lzSZO9AAAAAElFTkSu QmCC</item> <item item-id="99">iVBORw0KGgoAAAANSUhEUgAAAIoAAAAYCAYAAAAlKWUsAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKISURBVGhD7ZgNcoQgDEY9FwfyPJ7G y3gYakLEAInGtWztbt4MM60iPx8PtB2i4xhwURwTLopjwkVxTLgojgkXxTHRijKPcRgGVsY4 061vY5lCzmE8DWGOI8tNqj+P+/0wLXS1Ze+3zn6JU1ivh2n9qSdtP6UoJAmfZJrcF8qCWWzz ThLossD9PaO00GVmmGNuILXXyrLJJuXNROwqitxPIQpOsE5jmWIYQjzYAB9I2lFFFCCOtkDL Ul2HsFlmmGG1+IWIAC2QbiOCa9T9RGn7KUQprSeOAvpUpM1xZcNAXZ5jI8UKtrfLaD25HyaK 8Zi7Eh7C2s1t0/sw/26po5OfOymHSAtL4zrZ8CmTeozYniTe1l5qO0wTm7sszXNPFE0GnDxM 6IooibqfeWzbsNSR4DIclUNeFAXDzX3w50l+vsBcHsoSBEvPbBujleW5oqzog4MAboqyhiSF b6nTDUmU6lVxxCZM8bFKz+8iQaE+pP5Inro/iyiYXdMXK4ZJvCSKOBHkpigQnjJoS51uSKeo dE0lnQj6n8DVfTFf+QSziPIbvCSKPrgbooTQvssZljoS4g4SyjFpIXkUVxcIxq/53bYlSKGI +RxR1gFLR6Y86ZuiwKIpaVrqSNRCaOUU2OU5KHl3q0Bm4mKefHuw6zh/ocOUS39R6n7EEyUN GiaUih7QDVGgUZJQOqItdXrDcygzoAXfgqTviVzqhaQ5wL2jeeCctzaa0JOs+f4LuduQ+zG9 enRuipJ+wQHV3VrqOO/j70VZSTu3bMdSx3kfTJSzL/UKdpzKu52OsOIYro41uodS8Ou8iHVc mHdj+Kq7xzJt/0Ry/jMdRbl4QjmPpvuJ4nwGLopjIMYff27eoB/QJuoAAAAASUVORK5C YII=</item> <item item-id="100">iVBORw0KGgoAAAANSUhEUgAAAIoAAAAYCAYAAAAlKWUsAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKrSURBVGhD7ZiBcYYgDIWdi4Gch2lc xmEsCUFDCBrrYdu/eXfctYBAXj6i7bS5XAY5KC6THBSXSQ6KyyQHxWWSg+IyqQVlmbdpmlib t4WG/pvWGHYf5ksTlm1mvmnzl/kYD3Gl3lbHvtL7dYsh9YeYfholPY4aFIKEB5mD+4ewoBcl 7mxeHxYYPzzKia49Qx/3BfJ6LSwlSZrfLIHDQAEQZRw57goUHJBurHELU9hOLsAHKt/cygoA p5egdRX9kFTmGXookl+BCCIQ+jSiMEejQFmiyDNVsHSmCpSaetKZQZ8q7XLcuTAwl/vYQJGE 6x0wWiv3UFAUFSY6oBjL3B3zUGzdfW2idv/dMqev/bmLdiotsXQueY8agSfyjLieBl5ZL68d YmSx69C8C8pRWa8rSg8GDB4CugNKltxnmds1LHM0cRjO2qm+CUp5p+fGnyf4eYI5POQlAJaf KRejheVVUBj016Ak9Q8HBjwEJZmkmW+ZM0waKFUFOFcBpvpYpecPkKDRHtp+BI/czwIKetfs xZrRTH45TaCogaAeggLmdQ5tmTNMmFQRl9bXVa4I/T+Bxbjqr17B3qoosA/f++cqSgjtu5zJ MkeTeoOUdq7j3Vx0N0Fw/h7f7VoKFB0wXwElgSurYQtKOrBWMvWgH4ICSeu4aZmjSQLRa5eC W74nRL/dXYFnajIvvj1YP8avbJh9GQgKvfLqlvpoGFUOlw99TOwb9AAUWJQg1Eq0Zc5ocR9q DyjhJWHSXJlIigHGzuLAmMsajekZ1n38G75fSeZ9b+kspldPXw9Byb/gYeS2ljmu9/TzoCRl kut1LHNc74mBcvWlLsTKqX7bqVRWZViUTxpDKHg/b+ocB+ZtGb7qnmmN5Z9Irr+sgaDcrFCu X63hFcX1GXJQXAZt2xfzlsyAakWJJwAAAABJRU5ErkJggg==</item> <item item-id="101">iVBORw0KGgoAAAANSUhEUgAAAGYAAAAXCAYAAAD5oToGAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIfSURBVGhD7VaLrcMgDMxcGSjzZBqW 6TA8sPmcCaZOn16E+jgJqYHDwB023fzClFjGTIplzKRYxkyKZcyk+EJjXv7cN7/tZ/hlwOv0 +xb4uR0uDcShvfaXtvsTAiMHpha4A+b2CAq+zBjnjyyC0ZhW/KodxMKGcd0R+o7ApA/io/Zk CvDp22jOV5YyEttkTBBTE8q5JDggGLGXdOHMFNOjUWVdHq/8ADE+xv82hm48Z4LlIrsDyhiV QFnWZN+1pMZ9CaMGSMakILTJGDinMf5OjRYCPn1bOM/BZgyeObWhO+GMGFOUsQzWoYTJ7xd1 NPPfQGQMHsgdctG2Porbk2DhaBCPZK8NRZOwl7KMapK6jChjARZjIkpWttwxmlKmb1CIHhbr HcDCeQL3jWG0FwtxuWQ9Y1KG1BBRz8jJFcVuzvWN6dXOgLLpOK5u/j3nCXxqDInd3XenDPV0 avqiHphlpI9xX40xvAEXD9a4y0HD4zUIbOFooLl0q5R2w+jfGNP3pSljBK4uyJfrdsoa9dmy BozJaccgoSBqEX0gkoXzBHgfN42Jt12Zo76VMcNUI9KzgDEFf4xkTPO2UErydw5UjEpjvb99 Fs7fgsWpmYaCNkLhGWNTBeMqop2EsiTFuN7Fqut4jSuub4yCIjp/dDdi4SzY8JkxAXxTZIpb OAs2GIxpygOWNuzH1uUsg+7AnDELz2IZMymWMZNiGTMlvP8BFunuNamCCeoAAAAASUVORK5C YII=</item> <item item-id="102">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAXCAYAAACcTMh5AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFpSURBVFhH7ZaBkYMgEEWti4Koh2ps xmLIsmhYATnCx9NheDPOJNGs+vy7uNgJxBQIMgWCTIEgUyDIV+CqF7ssYtPrvifep23YMxKb NYruTxn6VM85gZuxiiQpk5ZwEnO/j8Fq9REQSKBj1VRI2ZMrJ1YkclQ2ozoITKLsvkdCB6WT QGJvZQ4dJTLfurvon2Pv2+U60K11cfoJJHjhoOSpi0VDzkQ+cVWLBzlXh/9a97zAZbaq6/J0 FXikMJs+3ifFulTVrs5eYva+oLo4fQXyxV/cqFtoTicqSEmQx0arH1QX598Epq3VKtA9i7BA tdR9bwvfLjD9D1YXx8/9DgL5RkpPsUML+9rRfHushcUo4a3+ta2QwALxsE+Gf4kghZ+4tAPV fYY2gUT8upF/V8whU5WOifa6z9As8BCRbXFmb4topoSh79pE1Pge91fddwEIrGMz5tUtiHKj QJ+kt7cgyu0JHJ0pEMLaDwNKDfnzvM8HAAAAAElFTkSuQmCC</item> <item item-id="103">iVBORw0KGgoAAAANSUhEUgAAAFUAAAAXCAYAAAB6ZQM9AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAG1SURBVFhH7ZaLsYQgDEWti4Koh2po xmLYJAICAgZWfD6XM8PMCpElNx9czORypqgDmKIOYIo6gCnqALyoWi5mWYIhtV1J16TZV96M NjLQI5DjlDhTV2UEbCDUaid2UNjc/DtZjRJ78qxKNAl7LH8tYQNhIv1Q7JZQ/Xe0iv0nkSFj mRpkeqrdQCj45Z4TkX8QaoH9ogK2DdAekLn5srfiY8/xATgj7lPbe+k+HJu72f6/v/wtFBnI UFG4mMIeSz2noT2kUdfyWAkcmxL0bhiYdDSclcAkawhmUVSXrdkspbVQbMwu/ldBJBhUQs5H js1dtAQUKYtqyzDrDF5mUeTaysMLVrkAOTZ3gFXY+vddoh7LvUNUbC2VkuLYlKB3XannBv+g caVCgBXj1b8VteIgx2YoWI0uCH7wWlxWVPex60fq1JXlD/vn+jbHZhQH/91gOljJ1ArkaBC1 9PkEL9j2QAdOz8uxeSp9ogLodPhJ1ZJJkWDAlhnxDcuxeSrdooKbVPLlsrAf8VGbsHNu2DUS MJwPR9bm2eJ+ISqPVSl2W3gLA0XdMvnOC+YpDM/UX2SKejnGfABcNInsD/zykwAAAABJRU5E rkJggg==</item> <item item-id="104">iVBORw0KGgoAAAANSUhEUgAAAEoAAAAVCAYAAADhCHhTAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEjSURBVFhH7ZbhCcQgDEady4Gcx2m6 TIfJeWqvSTUmECwc5IE/zg/UvJr2AjgqXJQSF6XERSlxUUoeog5IIUA6+s8BKd/PkQKEcobv iPnsszfWnAOJOiHHtsBchJTvpxb527w9NFysNV9Bb9SZIa5ESPlO6t6plIc4Unlwfc6aC/yP qFlR+DzWXGApCvdzvbJSvpNaaATSKYMIQy4giFovPOQLiNTZEE/b3ikh5vK27JDirfkaRlRb dDi7lO+m708lo3ay5gumoq5FOFFs/irtK8x/taw5hW29M8cig2+9ab7A3nqUuj9uowfW/Ini ZT5eXTZ/hev/HLevNZ9ziyJt1W5KuzXXHB6zfLMwdL5pu1hzAXqjHBYXpcRFKXFRSlyUCoAP 1B9CM3rpqYcAAAAASUVORK5CYII=</item> <item item-id="105">iVBORw0KGgoAAAANSUhEUgAAAGcAAAAcCAYAAAB8pKH7AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHASURBVGhD7ZdbroQgDEBZFwtyPazG zbAYLkUwgjza0Xr70ZOQjDNN1R4KjAmKWFSOYFSOYFSOYFTOF+xbMMYcY9vzl2tUDjt72E4h 8XMUhPWjcrjxPvj8Edg3lSMS76wua/LwwVndc2TjXbBRkHXXhW6MyvkYytKmcr4GjtVUOXCK OM/iMKw7ThnXM3ocpSWp8fzkdb08x+vM86eOyO88rj3ksAFbkrpz8ppYJz8eqntDajwbx/+H VBwWOYv8aUJuMSpdVP9lrtKMwYsBlnKm53JqPDOpEGydM8rfmYwg64XnmMhBdAA1npm1HJjV ZYZfgPdAFLObP9Wg6Yjedz8wkIMsNDWeGVznNIKQYoBu/mpJK9RL26905ZQ1crmZU+M73A4W 7SC8IU4OkAURxAAi5EDSUrRpwanxzODlALGABDEAWs6lLk+YHgiWBafGM/MvnZNq8Omek68j 04JT4zuU+OEgTD+cnCwmX6V3QArq57/vt/hJMmcpBxgWnBrPTLrvtCiNmAJS0DB/dXR+Z78B Tjm3GdzcrP3NEeNXL/6M9p7Pl5Sadf7ULfn3N8QAdecoolA5glE5glE5glE5YgnhD18YkkIB 6fF2AAAAAElFTkSuQmCC</item> <item item-id="106">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAXCAYAAACcTMh5AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGVSURBVFhH7ZfhEYMgDIWdi4Gch2lc hmEoBC0hhAhS2urx3fVHjY3wkhfsYiddTAE7mQJ2MgXsZArYyVvAbV3ssqDPuu0RGlttjDwH o9V7j2jrp6QdaLRVLoHSZr8Q8SJy1x/BtqLG2OzaIGJuYUimbKKVF7alLLfCWK2IYF4DpV3k HGYGhoQxgf9OBH0S4DqmYei1AvwhslsZquKqwVt3F9rPjcpqBSSLtNnnIyT2PahfBy+gAw4O 13mqcGjgmQgDuGrXUfT8dilWJjv86Ocs2SgBjy5kuw9i+KH+gbzQOUEofnFSbBCcgNiBJ5QF lKqQDdmWjeN7wzOgUyCfFBsEN++4awUuCZhb9qqAvhZ4oVKMp9vCzNphf5VF+6GA3G+k2EAS RwnOY2AFxG/lbBU/YOGQm85NKTYWvOeWwgkdKEAPkexQkYhig/2S1Uqx/+SagA76GlP/Nw93 K7WLFPtPLgt4bJa1OBAEoMM4Dn1/QKAc7j4txGrL8206BKzDaF1p7XsyUMDQQfXWvifDO/Dp TAG7sPYFQiTp4cIk240AAAAASUVORK5CYII=</item> <item item-id="107">iVBORw0KGgoAAAANSUhEUgAAAKsAAAAzCAYAAADo3fg3AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQvSURBVHhe7ZyBkYMgEEVTlwVZj9XY TIrx2AUMrEBWjwjqfzPcXBR1kMeyEievBYCLAFnBZYCs4DJAVnAZICu4DJAVXIbHyjqPr+X1 Cso4uz1y37h89tyMeQza2X9bnx1Z39MymE4aprfb8IGETW2/DU7UYIy6QdqvsEgDuNOGJfKS JA578Ya8pyGaTRgevOJedARkXd7LNJiIMkzmP/+53w6rBUdRKSsN3PU+9AdkJVw6wH1nOiw9 /TupKbdTd+i8jJwLhsfJ82jq1Ocja3D97LX6aDtkdXDnmYg6ZHK2MIdNTqEFZBSbx23k1tSp ibwek0kDemk7ZPUUHrbsvlBiigj6B5GoM0zkTvW1po6EjwkjkyyFk0hBPCxjGNE6ajtkXbFT UvJGmRsYT0l2qsrdVMnaGdTxmYM0dWqSk5XbGsrYUdsh60pe1u3Ud6DDKMUQOViIpk5NcrLK yNpT2yHrygmyFqZmTZ2a8PXMtaK0h6f8uF09tR2yGrhD6Eb5Im9YzanQnD+VF2vq1MRfT7Z9 06aO2g5ZNfBNDPI4+fkLa2fYD0kpNHVqEl2vREdth6xK6Ib6EU/RaE/kk2LYaBYvz2jq1ERe r0QvbV9l5QOM0WsJDo736UfVvbDTn7w3H2zOG0+Zbpsvbt/mXoclWae2tLYteun6aHscWQs5 A51gz4h6Ku9peuhg/n3bt2kA5wxiJJPEyREFPuyNVnfinLYnclYX8teQTp9rT0N78FPQU9MP 4Ek/YLl0gIOpibTZEcP1jojsBQwHBQBl0rIaOMnlhdpMRHNLDEeS/zD/5Se/HSlGMUGngnTl tmRl9dG1nIfQE99OWfm84QCgc5w7xSclR+m6cL/x3yR26aEcqA7IShE5mvptSoCACL5xuqzb aX+frEgDnsvlZAXPJSmr/bpLE63OSAP8ygGWrp5OIbJqOCCrfMDaPHABkOZ8WQ1y6erX33yA e3BcVre05VOF7TRuc970or+f2k1BsgqU/DOyfufJL3aAuvxQVhs9McWDWvw8sgJQC8jakPAL Dp+687IhXu5JAlkbwaKuUlLKRKsqpdQpeChVy+wecn3h4+R5NHX6ALI2wQoSL4TMyzSOS+6V S7nct2cVhQdGUL+Hny86AmRtAS/7ZYRJRbJ/vqkWiTjX+/mis4GsLUh+a+em3rRJQmJbVyvU KiJdN3OQpk5rIGsTKDKKyMoCp/PV/778YyP20NXPFx0BsjYimnadfK9xMnmrl8UI7fZXk5Ue mDIHaeq0BrI2hAUhOaj4iEZTPm8LIm/NNMCcOxW9NXVaA1mvAAt0/E21VUT7gQeDFF1TpzWQ 9SKQTOHS1Z7IF4lo4LRC5MyaOq2BrJfB5bWUIiRDnlvcj9IFt80Xt4/FDLeHJVmnD2kh6824 81tukPU22Mjb44NRLSAruAyQFVyEZfkDxEoFXOnbDYsAAAAASUVORK5CYII=</item> <item item-id="108">iVBORw0KGgoAAAANSUhEUgAAAKgAAAAzCAYAAAAD6kM0AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAPrSURBVHhe7ZyBsasgEEVTlwVZj9XY TIrxwQIKCEgEZJ/cM8OfbyQ6hMOyoPM+GwCMgaCANRAUsAaCAtZAUMAaCApYM5Sg6/zZPh+r zKs+45+bt+PMy1hnq5382zpeBP0u2yQ6Zlq++oMDKWno89eg5bTGpR6YfCUdc4qnjpo2x0Up rt1zL+S7TM6sQdCA9X4LRgyag363ZRKRY1rE/8wx306qBUVLX1A5WPffgR/jLpL0VE/9JTop OrX/HGHWbd7zOzMI9IDYj3Pq1OcQ1Lp/6l4M2j6uoALqMBE5p1gOti8ofo+ufrRa5/M1curU JBhBYxIyafvQgpooml4YyRFf2Emis30vJDl1fOg7JE6kJC7iS2Gg3DQYSfu3fWxB9XQT+3EU hZ0kB0HkBjl1ahITVAoSXsn3bzsEbSmoTB+CkUmRU6cmMUGbRNBKbYegrQVNTLs5dWpC9xP3 clIaneaEb9+/7cMKSlFD/jimRH+kgk6S19QCxB4MXNWpibmf3/a4H/3bPngEzaGwk9RBUISc OjVx7pdF/7ZD0EsqdJJARS33Ojl1atJFUEFJ23dB6QvC4r1YX3bPvfhFCh89/Zi2n/tWdqA4 5yT6+jNT9LnT72uXYJ3aoqrN8Ow0gknb3Qh6kTO0zpH+K99lGWfQerRu+3mKp3zAG71S3PMQ Ar9GpVfxTNsDOah+LrqHbnlce7oBII/wIklP9RQ0RUSNjhKqd0dePQisHCTGkZekC3gn0Z6l pJU2Utu8SGGkp9VbIn3wRYwV8E7iPZtYMB3c2Iag69rSy2u03xkISY3Cu1C/0b9B1JZBem10 Q1AZeZ1pXU33WIOBEI8Lep7S04KGRlaogHcCQQFrgj2rHjtZAkQtxRQP2lIYem4I6i+STosm AA6eF1TgbzO1fhoB/i/3BdXbUCYNOE/RKocNb8RbG/WY20GC5quLkV+kAOU0FFRFSUzfoITm ERSAEiDow9gv5pr0m7b1Ll6aGRUI+iDqBRwjokyB5A7IRSpEi9Ffdkr04tQUup+1KKXjnDo8 gKCPoaRwNy3WbZnnuICFb4zZOyQc/vTOHSDoU0QioRtVQ9zfa97lE6K7A0ORU6c3EPQpgk/M 9LSaNKNQUHnfyPVz6vQGgj5GQDSStsE7twIVmSdWf3rnDhD0QZwpdY+ei8hDjSBCxlMkKxRU 5rCpCHpRpzcQ9GFIClr4SDm0mMnFUIUpXlw7FKVz6vQGgrKnUFB1QAPAD5I5dXoDQdlTQVCB esfXvU5Ond5AUM7oqdekBOfoJuUV55xFjv7MFH2OZLQ/t0uwDg9RIegLePMbYxD0X3PxmPQF QFDAGggKGLNtf8jnqTdpEGF3AAAAAElFTkSuQmCC</item> <item item-id="109">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAVCAYAAADRhGlyAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFISURBVFhH7ZdbFoUgCEUdlwNqPI6m yTQYbj6oNDQMu/5w1vIjJYMNPjKgEkkBCqUAhVKAQilAoQqAKyzGwLKmx4nanAWz++Kb1J91 ifMczTrY4kDWb13o7bK/ANzA2TgwHWBwdNnTGR7GJHVzYG/zxJjJuZn2eQWSL/1bRFAeKFbB WxGx+Uqrxsq0HwAQKxcrRqjgg4W0mqKovl5lsTUqD8W0bwLM9oLm1wYqW76oAcv4iI0Bz4tp /wCwP+u3DbhsT55/DBD9wAOjKqZ9BeDE05gCWCT2lS5zYJKbEJn2JECkPgVg8OHrPZABkWlf XcLxHjZhCRMbdvDlo1PY+0RCZNozDpFBp2uPsmvLl/fABkSm/QkwvRCqJFXe9W+gDjJWzGjQ z38i6bsH6PL5FAZ9tCI55ZjrsQ/9qtdSgEIpQKEUoFAKUCSAH8bQKNE9y2uwAAAAAElFTkSu QmCC</item> <item item-id="110">iVBORw0KGgoAAAANSUhEUgAAALYAAAAYCAYAAABX5geaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAK+SURBVHhe7ZgBkqwgDEQ9lwfyPJzG y3gYfhJAEQMDKMry86qmalccSXcacHfSgjAgEmxhSCTYwpBIsIUhkWALQyLBFoZkD/a6THqa vM+y2pFwbNHHiPAkQ/ZgXby636v9vGNvSs8w+aw2e+EAjeWuCw8zUg9sqL31aRdo+3BfX0Wo mFmf/EOz/eqEtnTbg02rOT+Um5pPpw5BCzfQ1gDmHRuLh1U1K/jJ/d6+kDi2nodXuX+0O++p EbvuL+mtBw6sI78P5HEYbFy0L3jM//Foj0OqCQrhjz8XOL8BOax6CY6ntyHDL6ExerrRmtUD oHoHrNGE36kJtvEhPdezHvPBBkzzZzCNF4Ljzmz2yGE5iq9qNkB1OZO4z88Hc0asWi0QnkhA PtWa6AHcYHWXB7te080dO7IQn/Y4GmxTQGQHozFfIIYlV7ApprbZt0kYy+4UX2pN9WAH6ykM doEm8oUWT+STEMcGG7i88jXwOB5senikKZf3pJIG+veaOcigouPnBhcTEVMT26SWWm1w4+FI 9GAH7ykMdrUmvC83cDhNwlO/By08pjGWuKnXo6K2ENRU1pQ7O4iBCUJiZ/xSa6oHB+XBrteE 990Pdrhjt/D4w2CXfOdZzoabOqZFwXu2Mxu02/FvtQ4Q7HDDsJuIP1cLj9lg00QweXQXfODo MM/OMcndn29oDqed32mhIxKveUF5VevBzx7slAe7XhPeV75jh1ou8zTwOLFjJwjfU9n31hhH 0bGjqiu611oR7Fua8snW3MDjumAD+BD/3zPpv9x9/NWYc9R+T99aK4IN1GvKJzvYwNMeVwfb PTB+TJpJzkeMFYvXqRneM4L7+qJTrbSzuTm4RcPXZfil6S7m+aUBjddT6LEdb8amFJT0f9Cr 1pF6kKulYbBLV+xfpletI/WgTEvzHVsQvkCCLQyI1v8AqVrqwoLa8/sAAAAASUVORK5C YII=</item> <item item-id="111">iVBORw0KGgoAAAANSUhEUgAAALYAAAAYCAYAAABX5geaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKYSURBVHhe7ZiBkYQgDEWty4Koh2ps xmI4CLAiBheBIMvlzThzu66S/PxEuUUxzISwsZkpYWMzU8LGZqaEjc1MCRubmZKPsTexqGUJ DrG5M/E5oY4zTEumrMEmgrj7xX6e2LtUq158lbv74sAIi33PNGamGjhTB/3pGpTe3NdXEQhm VSf9jNhhdAwtw9ZgV3LNN+Uu19NTB4DGjXIjAHnHNsHrrlql/st/pg8kjYuncZeHj3avPRTi k/ebjFYDj4kjvw6gcWxs07QdNMY3j+5xCDHpQJKPv6Lu25SIHk+9AcEvprFmGiZX0hoYXPPo NfKNVmpsq8PXtRpqjBtbY4u/6oUSicDj0gT7JJBDzFJjh5MWPb7eGBNiU1Jo86RyeTPX5jWw mHv7ZkFfGVBKjR2QMm9jjZPG9hPjfrNiTPJUVBtMabGrSQhrTXQ3uV7IlaoGcN/QoOYeuGFr BglqbE36la+dxmljwyLfilIbiF0DBMp+HFZyKarBdf5tsgS5OuOm1yWqgZmOJ71zG9D8rnJi G2A6Y/dpqDGcQyESNRJxE8+ur5kgFiRmqslYmatds30Nrq8efY1NObG9xi8aO1fM9pwFt3Es Qur3bC+2zusS2Bu50tSgq7HjgeGGCL5WO41RY0PievHvU7A8EHvvHJH87/MFzeE0+f30uN3A 9Mj1gLQGnV9F4lzS67TT+GZi51DTYUfiv8GouRbEFe8z0H1HPc9zbqfxq8a219918EiMmmtJ XPoqbYLw3333+4syehs71Ljc2H5H745r/HaReJMAycI1JgEbFHxGNxODMGquhXFZgniuFzbA 3j+7YVpr7M6TsUupQ/ofjJrrTDXIzYXQ2A879qcZNdeZavAsF/KJzTBvwMZmJkSpP/PnLDWi sgPlAAAAAElFTkSuQmCC</item> <item item-id="112">iVBORw0KGgoAAAANSUhEUgAAAIIAAAAXCAYAAADHqJcNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJkSURBVGhD7ZhtsoMgDEVdlwtyPa7G zbgYHvlAARMItR37pjkz/lBChOQm2E7BcSIuBAdxITiIC8FBXAgOcghhW6YwTdm1bDxSjy3h HHH2dT5ik4WsyzmvjGfb3xYWHtPel+dqXnd+2qfsCPsaZsUBvGDE8U+wLTHgKZGUpL4YUjKF gmr6g/tzDgmm9IEiOCbQfGvOrkcDLmYOxXwQSH+HP8Ye1rlKPMRuXuOIBotAjGXH375XfsFX lics4kpchbDaCN8ItKBzQ3BfCcPhwAsFUz/LoLatJGbUH4zlqpGSjvMtXUr7WMwdxBeo7aW1 UBGuiHSh2Fh4x73F5gsQq43WLgeexuZ1zfaXzR/xB3Gv44DzJSHdEUIE1Rs7waXdJPDFsJkR IRDlWQb3Vx8WGw2qvMZliUyPUSFwvCCBNJzEzT6M/vKPydKebItCkcShoAohqan9sQEvvymE uFgpcBabT2ESkpS4VgVK9viM7Qf9JUEU+WH7Yq0XccnoQsAkK5s6uCkEWLjyAovNo2DQq71L zxJSovMYj/rjjqIXam+85DkhwLHTOO8tNhqmir4NBTp3hVWqrleIZ5HoUX+0T20rvbk1zwqh kRSLzeNAlR/B7seL2vnZFXCP+YQRfyAiMdHVt4cRUQjp/OlX0A0hgE+sCLl9WWy+gTxWZZg4 IVWycF9sL8VV9cffE8dVi4DjBGOvxKrRESzcFALdXDcdsdg47+N5IUSoCko/FhvnfbwuhKwV ydVKZ1zZwvhZunisaJf1Jdq4IN7NzY7QZ1/THyjON/NBIYz9jnWe5eMdwfkfuBCcSAh/sRVZ b9Z2zL0AAAAASUVORK5CYII=</item> <item item-id="113" content-encoding="gzip">H4sIAAAAAAAA/+xWz2sTURCeTSfpD1LaRKkaiy6m59ImDVS7bVPXICKSYIrXauOiKZuG1oUq ePGu4F8gerFnPfofCEIj3jxZEFRQBBFvZv3m7WuahqKp9SLNF+a9ycz3vdm3eRlelIgM2DVY n/JDGNlbdZyjJMjCeiql/OKSU/JUhK7CLCNIdSl+r32lmFu54DkVQzGisEhzoF+NrMhRkO1q ZbEq6WDFQVg3wtuRAamBB5rCXIsTfcY6afi+L2xQ865ju2Vn2VMaZCN6J3qEtrYRe/fkWWKT WjCDp677vUqxBaOhDh4npL/XfakYwO/gv8JPWL3JOjhYuExVfDwyKUfLmFfpTmsr+C2GKNz4 z0sveNG9VEhZkdyjY/e+fP1GH5u5hZXkSP+HN0YX/KxuJDaqS11Hjbf2VFsQp5DRvJ92daeN P3Paxd/U/5fYT315DdLH5TdhCnp5BwcHcu14myLKhYPz0LfjZDT8iD4meVgsiMW1e70sZ2dA a1kryttiSd2Gffd3Hs+HQYVXMlwqmsWbjuua59wbcp7n36+vPd9cX/s0NHFXrho/2tXuAkuG +fsvx0u12NMH9HhkI/x66yrT07LR3TZPRkjvXt7CYR3kM2yzxRme5rN8kZNUpAL61wIN8yE+ xUkVOc5jPM4znMU8Bp5402Bn2KSszonapFl4Jp3nSZ7jKbWq8CzEpIYoJ8C31KomJziNjp1Q 62Y4xUcwS170w4p/ErlJnkVsTmlSNIq74ShUJ1B1EDXSiqk2+gsAAP//AwAuzBTH4QoA AA==</item> <item item-id="114">iVBORw0KGgoAAAANSUhEUgAAAiQAAAA1CAYAAABx5vBnAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAl+SURBVHhe7Z1LduowEERZVQashhFb yTT7YJ5lZAPZxNuBn8s/yaZlUGGRtlX3nDoJMpjourEb88mpEUIIIYT4Y1w1JKfTSVEURVEU 5ymBu4bk379/L2er9dQWeeMjd3zkjo/c8ZE7PnBXAjUkyhR54yN3fOSOj9zxkTs+cFcCNSTK FHnjI3d85I6P3PGROz5wVwI1JG/K7RK9/na5mdf563j01ufWXE6X5mYu8xHVHB/v7i43+zoe 4tHdGDj8+Pwxl3mIP3fYz0WP2dNH8/ljXe/vg7+vBGpI3pGfz+bj47P56S7/NJ8fPgvNnbfO 1fjgVEOSk5/Pj6gJ6T16PbC6q7vbpTlNj1ffzbC/x+wQ7PPav00NSU78P/EaA3clUEPyjmAH Fz1DxTMHjwcHtzs3nSF5OWhQvB4cfLvz+wQC8emud3a5+K05xJ272RNX34G7EqgheUOWBwOv BwefOzdEDclr0RkSOt0zfZ0hycrwBMxzE4y4czecVcLfhXh3VwI1JG+IGpJXo4bklaDewksQ /uLVXeet/dv0HpKchMeqGpLMzF4q9P8kogRqSN4QNSSvRg0JG+/NCOK37hCdXcpJvG9TQ/Ja PPuDuxKoIXlH9B6SF6OGhMkemhHEb9318X5gsMb/Jn3zhr8pjtxxUUPyx2xVIO4KTZ+yeTFq SLKDJti5szHe3HWNnD6h9HI8H1AR33WHfZ4+9vunbFUgHh+ke/hOCI/e+qghyc2s3obomerz if3poMpFDUl+9lR3JVBDokyRNz5yx0fu+MgdH7njA3clmNb6fQ2dWZfr97BkuezahCXbgvVb k8/NVuupLfLGR+74yB0fueMjd3zgrgTztf5+Nef2js5fv8NAAE2JNb4lWxWICo2LvPGROz5y x0fu+MgdH7grwf1av6/tnZ2bWe+BRiU6Y1KKrQpEhcZF3vjIHR+54yN3fOSOD9yVwFjrb/N1 PjWn81f723h50aAUApNUFEVRFMV3SmCvdXjppjsp8n0t/lLNCCZpdWO5KSXr6Mgbj9zxyB2P 3PHIHU8pd8m1dm9kPZ/bxuT5N7HevTF2mQcv++A6VoORG6xH5CNvPHLHI3c8cscjdzyl3KXX uvIG11JgklaDkRsVGoe88cgdj9zxyB2P3PGUcrey1u/m2t7pG97LOoFJWg0GkvPFYiq0FNim 6TNe+/K2PpfZ2brUR9hfGF+C5fthW3cjWM58Qq9qd92HCDLGF2D5ftjW3e/XeRqP6ys1vgTL 9w/ntCd12/V1glLuVtaKPyqvIZlN3sqDleE6VoOR+9XrWI+IGd6o3G2HdKHtw9sTc8HZPetN 2Ynxbgc21Wa/flxMjVvU6m4idUY1NR5Rr7v5Phb7z95Tavyeat11dTWuC74ejBvsw12KF5wm b/vEOgdKuVtZa35D8iqYpNVg5P5zulKy9g+2abrQ9uVtZS54dhkVLnbo3cXU+AI0ItYBIDUO 6nbX7+yu16Wf1Picat1hfDpgRKTGDap1NzvYPjFucIzjBOF0InXblXUOlHJnrjU+5dUltUU3 BvdlNRjL/4nw6H8klJK1f9YLbV/e0nNZNg7j5dT4nP5Zwn3Jp8Z7qnY37PjufKbGF9TqDj+t fWtq3KLeuuub3X5RvN7U+D3HOE7kOw2kbrvuDZRy52qLYJJWg6GGZCuO9ADNfyA+foD2Y9az 09T4SL3uwrrm10mN31Oru+7n9dq9pAUHYxOSGreo+jHbvTwDR4uXZVLjC/blLkW+00Dqtul1 jpRy52qLYJJWg6GGZCvWC63qnVsLLjPNCKjVXTz+zO8WNbsLdRXOwKXGLap9zKbeH5EaNzjG cSLfaSB12/Q6R0q5c7VFMEmrwdB7SLZivdCOsnNLvna68poqHqxsMwLqdNcfLDH3OOev78S4 bRHL9sOGddeOmweM1LhBre6WTsbLqXGLfblLQTidSN12ZZ0Dpdy52iKYpNVg6FM2W7FeaIfZ ueU+e8ID11pXatygWncRqZ3/2kEB1OsuXhfGxwNGavyeqh+zs/GogbHGDY5xnCCcTqRuu7LO gVLuXG0RTNJqMBB9D8kWrBfavrwt5zK/jGcDU71EeyRrfDY2BAfQ1LgFlu2H7dzF1NmQvOiu a3ozxhdg+X7Y1l226wVYvn84pz3L246kxgOl3LnaIpik1WDk5hiF9n7kjUfueOSOR+545I6n lDtXWwSTtBqM3KjQOOSNR+545I5H7njkjqeUO1dbBJO0GozcqNA45I1H7njkjkfueOSOp5Q7 V1sEk1QURVEUxXdK4K4hsc545KaUrKMjbzxyxyN3PHLHI3c8pdy52iKYpNVg5EaFxiFvPHLH I3c8cscjdzyl3LnaIpik1WDkRoXGIW88cscjdzxyxyN3PKXcudoimKTVYITcmsvp0tzMZSH7 KrT1z3zHnyOPP0aeGm8XTOPPf+68B7fZD368Adxu/7zTaQDL94/c8cgdz7HcudoimKTVYPTf zjoKPEpD0n+LYD+nREGhOKZv2osKLzXe/R4KDEXXfyHVE/fVIm/dhWxvYB/uUrzT6T1ytxjv fpe7DrlLcEx3rrYIJmk1GCH1nSEJoAD7r/5dfvMlLndFNCs0i/X7krcUj+9rX+5SvNNpQO56 5O4RcnfPsdy52iKYpNVghFTckOD/EozXmxUOCq3vZFFYa6fZHt2XvKV4fF9V7dw2cRqQu26B 3A2XksidwbHcudoimKTVYITU2ZB0hdLOKa4VnE7D2OnUdrfXvuPF9c7Xa1t4w7K74lq/L3nj vIF9uUvxTqcBuZM7uWM5ljtXWwSTtBqMkNpfspkX1QiKayyoZec7v/76fckbyPcG9uUuxTud BuSuR+4eIXf3HMudqy2CSVoNRkjNDUlbIm3BoHDmRIXz3Xa30fL766/fl7z15HoDde3ctnAa kDsgd3LHcCx3rrYIJmk1GCF1NSQoiHDaLBTObLwtovAu63hdUaFNrBevvIF8b+DoO7ftnQbk rkXu5I7iWO5cbRFM0mowQmpoSOaXcToN80HibjUenxVNV2DDsrtqShcvwG32gx9vALfbP+90 GsDy/SN3PHLHcyx3rrYIJmk1GLkpJevoyBuP3PHIHY/c8cgdTyl3rrYIJmk1GLlRoXHIG4/c 8cgdj9zxyB1PKXeutggmaTUYuVGhccgbj9zxyB2P3PHIHU8pd662CCZpNRi5UaFxyBuP3PHI HY/c8cgdTyl3rrYIJqkoiqIoit+UQi2iEEIIIf6YpvkPmgt/ZQpNJZ8AAAAASUVORK5C YII=</item> <item item-id="115" content-encoding="gzip">H4sIAAAAAAAA/2xTTW8SYRCedxd2gfJRKEoRKlgBuwgViF8Xk7FptIlGk97UQ93C2qKpIF0N 3ognD8abZy/+BOPdePef+BMMzjvvUHvoS2bzzOwzz3zwbhIAFJlPlmBs0zMWvNkNDoaj1xHQ Z4ssPhj1Tczm2H1NO+o/3n8Z9EOOwHPOt+jpHB+Ot0ZTE35K5lJg94T4jOw22ccVgE9U/U7+ v6/PH8c0ZYFlM8idFL8bhpPh/tswMMwdsgycPhHcWT/tWxBliUg4CYJVDiFZaszQQSz+BJhF XcSvBNCJCXDjAmIJAfElRIuKhbQnW1ndDiQRvzwA+JCAlHn1PUmjKqe7eetG7ybJp03qLJ5B 1H1imoLLBs/S3EEWMfGLvFgOMfKXKNkVozXIUfPqCeSFkDsn5fM6rjpw3vjf2H9FUgXE3G9i ZldFoUCNWu9DKCJ+pnlnBbggOUWdY/6NkvTolmXO0pqA8kXDfrcmFSvG/7HwoSq55UsyX5UE 12W+KstfFq/EXk0SnLrUqDUE1K/IeA0Wvw4bstLGopgnufWmFPNI8KrIeyzfkl3V2rLM1qas oq1VpnBN5m/Lzjritxb76PL9zQx6ewcTf3y492I0OfLDqBlFfwYc3vZD31yvjZNrRseWj6km t1Kxl/Cnw+N7rGM+nSbZIyVcc+b0A9U8O/rwjOhC3A0nfj/obXN98IRYUcugPEW8Eu1OefR2 XlGW8mzKrShbeZG5jkSIBHMCUeLMkF45mqMFXOYQiGmOJse1jk5PEIfTl4jD6UnicHqKaxFI M4dARnM0Wbr/BwAA//8DACYFlmVxBAAA</item> <item item-id="116">iVBORw0KGgoAAAANSUhEUgAAAVQAAAC1CAYAAAAA/QcmAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAx5SURBVHhe7d0NeqJKFIThWRcLYj2s hs24GKabAqtV0BNtUeF783AvYTJ/FU6lQSf+GwAAVVCoAFAJhQoAlVCoAFAJhQoAlVCoAFAJ hQoAlVCoAFAJhQoAlVCoAFAJhQoAlVCoAFDJbxTqqRuaf83Qnab3z05D1/wb/v1LW9Ol9wDg c76/UPtWhblQqH37b2img6euGf61/bgPAJ/wI5f8/dBeF+q4am3Tj8zyx5TvA8C2frdQ88r1 4jJfl/8sUgF8ys8W6u0l/nKh6nYBGxsb2/2thkMUKvInmhxmZCHkYIcv1OglP4UqDI+RhZCD UajXD0rdPEglFKowPEYWQg5GoSbXT5ua90sUqjA8RhZCDnacQh1XnulTP22Xl/TFE/uvr/Un FKowPEYWQg52nEJ9EYUqDI+RhZCDUahBFKowPEYWQg5GoQZRqMLwGFkIORiFGkShCsNjZCHk YBRqEIUqDI+RhZCDUahBFKowPEYWQg5GoQZRqMLwGFkIORiFGkShCsNjZCHkYBRqEIUqDI+R hZCDUahBFKowPEYWQg5GoQZRqMLwGFkIORiFGkShCsNjZCHkYBRqEIUqDI+RhZCDUahBFKow PEYWQg5GoQZRqMLwGFkIORiFGkShCsNjZCHkYBRqEIUqDI+RhZCDUahBFKowPEYWQg5GoQZR qMLwGFkIORiFGkShCsNjZCHkYBRqEIUqDI+RhZCDUahBFKowPEYWQg5GoQZRqMLwGFkIORiF GkShCsNjZCHkYBRqEIUqDI+RhZCDUahBFKowPEYWQg5GoQZRqMLwGFkIORiFGkShCsNjZCHk YBRqEIUqDI+RhZCDUahBFKowPEYWQg5GoU5OXTOGMW5NN5ym4zMKVRgeIwshB6NQR/3Qtv20 v4xCFYbHyELIwTYr1L5NsefVX97OK8BUZDfHPqDvhu7Bb06hSvpMTXsgCyEH26xQR32bfsM2 1Wjh1A3tozZ7q9PQNY9LnUIVhsfIQsjBti3UZFypni+vU5m1H1yZXtEqullcrY6FyxtvvPF2 723rQs0r0mZepaYV64Nbl5sbH5xa+EOxQpV80kDIQsjBti/UJK8Em65fXp2OhZubfnmleKEs 51ryr8mj/KsYHiMLIQf7SKHOpXm7EMwPUk1F+rAs5we03lCorFBXMTxGFkIO9plCzfdOm4UV aH7Qqry/2iyVbuENK9S+Xb+HCoanRBZCDvZVhXp9/1K3BhbabVYU6vmJ+X99+tW0Wh5/btrW CpxCFYbHyELIwb6uUMsC/UuhRp5L+goKVRgeIwshB9u+UO+sCJ8r1PRz8vNI794beB2FKgyP kYWQg21fqPc8dQ+1Gdo2Xe6/+V9aUajC8BhZCDnYdxXq+Mh98Sj/o5IsLvkfrmZfRKEKw2Nk IeRgX1aoyfmWwPU91ulpUlcr2PwXGI+N/6w1v1/5aVQTClVSwtMeyELIwb6vUB/ou/de2q+h UIXhMbIQcrAfKtTAPdU3olCF4TGyEHKwn1uhfgqFKgyPkYWQg1GoQRSqMDxGFkIORqEGUajC 8BhZCDkYhRpEoQrDY2Qh5GAUahCFKgyPkYWQg21TqPk3+cRWEYUqDI+RhZCDvb9Qy4LbequI QhWGx8hCyMG2WaHuAIUqDI+RhZCDUahBFKowPEYWQg5GoQYdrlDz3/fXto1RJEIORqEG7aJQ y/J5sOX/LR3LW3ksb/NueSxv8255LG/zbnksb/NueSxv8255LG/zrne2lf4E096xkYNRqEFf X6hzqaxs8255LG/zbnlMB5Z95fAUf+a1P/7a8VdQJEIORqEGfbxQ50YIbPNueUwHXren4VmL JRoVRSLkYBRq0CaFOk/4wjbvlsfyNu9u5QjDs5TnUs4UiZCDUahBVQt1ns6Vbd4tj30Lhse+ 7FPzMZwT9hOFev3ifaV7P1bTU0HNE7eyzbve+X4Mj61l8UOfzio4J+x7CrVvF7959Ph6+9c/ cPWx7349qexuUPME3dnmXf3ndzE89pcszp//HeKcsK8p1FyKN4V68SqotvSxiz+/ojGohS3/ b/XYDjE8ViOL+bT5ZZwTtlGhTi+wN27Ti+idX4yvHbq8Cp1//PxKp8sveTKuWG8+Nom8SuoL 0m+n/xTb+diBpL/1tId3ZTGfYr+Cc8JyL9Xw+FcZC/TylUxPXSrT9P7p1N+WZ/ES0aXFjx0V L0H9BgfrzVUMj22dxbcWLeeEbVeoyeX90LQCbe+sRvPl/uKKc+3F+t77In61gvp1DI99Qxbf ULKcE7ZpoV6sIi8eWKJQfwXDY9+axdanKueEbVyoqfbyKrVJZZo2dx+F+isYHqNQhXPCNi9U rVKvn+a0UIYr91DXi/OVe6j6NXMYyyVeL6hfx/DYL2XxztOXc8I+UKi5K/VgVCk/7emy0NZX nLcfm7zwKH/+9eaCX3zea0KhCsNjv5xFPp1rndKcE/aBQk1F2S205JLVy/5bTz8P9WYlnFe6 tytjClUYHttbFs+WLOeEbV+oFw9GPba2YiyVK8w/uynt5ZUxhSoMjx0hi0jJck7YZoV6vkx/ ZhmZSm+tMHPhvvLPTm8Le71QeeONt/Q2lWxxhLf5batC/VZ/KVRoiCBkIXMOjEi9nvjdKLnk /xNKxMhCKFSjUK8flFp5uhaFKpSIkYWs5ZBH5mhjQ6Em10+bWronS6EKJWJkIX/JYe8lS6GO dJmfw1h70IxCFUrEyEJezWFPJfv2Ql0L693Ha6NQhRIxspB35LDVXNfGCjWIQhVKxMhCtsrh F0qWQg2iUIUSMbKQT+fwTUVLoQZRqEKJGFnIN+bwqZKlUIMoVKFEjCzkV3LYomQp1CAKVSgR Iwv59RxqFi2FGkShCiViZCF7zOHZkqVQgyhUoUSMLOQoOayVbHmcQg2iUIUSMbIQcjAKNYhC FYbHyELIwSjUIApVGB4jCyEHo1CDKFRheIwshByMQg2iUIXhMbIQcjAKNYhCFYbHyELIwSjU IApVGB4jCyEHo1CDKFRheIwshByMQg2iUIXhMbIQcjAKNYhCFYbHyELIwSjUIApVGB4jCyEH o1CDKFRheIwshByMQg2iUIXhMbIQcjAKNYhCFYbHyELIwSjUIApVGB4jCyEHo1CDKFRheIws hByMQg2iUIXhMbIQcjAKNYhCFYbHyELIwSjUIApVGB4jCyEHo1CDKFRheIwshByMQg2iUIXh MbIQcjAKNYhCFYbHyELIwSjU5NQ1YxDj1nTDaTpeolCF4TGyEHIwCnXoh7btp/11FKowPEYW Qg5Gofbd0C0tSa9QqMLwGFkIOdjBC/U0dE06HVIIa5f6MwpVGB4jCyEHO0ShjoW5sJX6Nh9r VlerSz+fjY2N7XqrYRdfosYHpwL3UwHgnXZRqKlRh+bBpT8AvNt+CpUVKoAP20Wh9u36PVQA 2MpvFmpekRY3k1mcAvgG+7jkfyj+NKvdG78YsaJPlzXnL8iHfkCTHBb0Q/vkjByiUPNTq5op nUM/I+A8PAcv1PKe+3S1M58fx1L+a8NcIlztZY+einnP/gt1HJg2nS6zfOKU7x/N81999+LU 9xdXKeMX2SNeuZxOF3/nXCSHL9S06GjT+cEKdU1elV0Miy7/j3viUKg3bs6R4+G53FmajTED CnXV7YlCoVKol/I5csxL/qx4fOHghdq385UrhbqKQr1GoV5KefCPQvKgHPhecjJe6k/7FOod XPJfoVBLXpXguJf9xSr9avtrHMd7UOrmQaqjoVBnuUCO+4V1QV58EEjCCvWu66dNHfd+WUah jlJ5XJwHF5d8R5RXaZwXQqE+wI330XSf7NnLmb0YL22LHLQd76rlMgfK1ChUAPg4ChUAKqFQ AaASChUAKqFQAaASChUAKqFQAaASChUAKqFQAaASChUAKqFQAaASChUAKqFQAaASChV45PDf 2g9RFCrwAK8GiigKFTtRvoxF/l6W+Xtavv59Pi++ZyivPYUHKFTsSl5NzsXXt0WZPvnSN6dU zMd+DTL8BYWKnfFK1SU4r1af+a78+vUoVERQqNif6aVeLkrw6RdnpFARR6FiZ9JqNF/y51fw LAu0KNTzfdHQPVEKFXEUKnYkX9q7RMv7qRcr1L77wwNVFCriKFTsxNW90+my/7wSHd9vhiZ/ zGI7TvdZF1atYzGHV7Q4MgoVxzAVatumy/07xXjquvMKF/grChXHUFzy5xVnc3PNrxXu7XEg jkLFAfh2wHi5Pz5gld8vHrQCKqBQAaASChUAKqFQAaASChUAqhiG/zoWKga8v7xfAAAAAElF TkSuQmCC</item> <item item-id="117">iVBORw0KGgoAAAANSUhEUgAAAIwAAAAeCAYAAAD+bvZ2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKfSURBVHhe7ZiBsYMgDIady4Gcx2lY xmF4BFBDCJC8a7Wt+e64q5ViEv4k2MkbhgITjKHCBGOoMMEYKkwwT8UtfpqmNBaXvxxjgnkk zi+HSMLnIBqpZkwwT2Tb/JY/Am4xwRhCtnW2lmRI2Pw62xnG0LKtfg6imVfcpNqYYH4EOIcc bz10DCqIpi2ZYIz0iv07gsm9dl6Lk32TXGK57IqZhO/FMXtcjfEcLoZFJguDrKPv78g+PfC8 MgY9Plww6T+CGCChYKgozqCitfDA68Y/s5YwM15U/09EsaD58fqlohn4O7BPShkjuViAr2hJ 0UGRYEIQWxF0LgcaETbgPOylzC5+Dht0PDfdLw6Hxf3Xwfs7su8afkswMQNT5kgyzy0ou2Ir I9lWfFe3CrCLf7uA7N8rAQLWE/jB+ju07xqyYHIwjhK1l8b7DQRkgsE+5NFVTfARrxnFRjeZ lP3o/74u+X0FEY1QLADrr8S+CygqDDbULcS4I3tlgum+5sFQeCkTDOYUT/MxwZ+qvUg25IgD ncuRRaMQC/A1ghkHGgz81ApT0zuUFu0I4DYkV5RzCYgPzEkbJRaN0naxYCr73k99holGtETx XYKJQWajyWwi5zf5DgSIqxJ9a6qBeIVNhnUU9rP+Cuy7AiKYFEgHBrPZIxfMvS0pEwTD64W0 o0iqrnh++VzwnWZzFkS+KiH3FKLh/R3Zdw1IMHu5TfDlXC6YVzLOZIbOBlXtaAcq0vEbKpDc rvGaxXxMQ0hC0TT97dp3DVkwORi7AbHUpevS8KsFk4JyVib8bLKB2GYYzY0JazbvwTJQXdMa 9Wacceo/47/0/E307Xs/9Rmmy9WCMT4NE4yhQi4YUvLvKIfG/SgrjPF0TDCGChOMocIEYyjw /g+pgXDnA68iTAAAAABJRU5ErkJggg==</item> <item item-id="118">iVBORw0KGgoAAAANSUhEUgAAAG0AAAAXCAYAAAABQcHxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIGSURBVGhD7ZYNcsQgCIVzLg/keTyN l8lhLKJmwaCYdNNdO34zmWn35Qd4QLKFxXQs0yZkmTYhy7QJWaZNyGGat1vYNnJYn5Vas+Gl zMYenIEcjIO/dHZnjrxJOQ76ug82a/f0NnzSdhcM3MC4c0rROOn3eSBFGjHNWzi3NGi6lhW2 q8fmeDV3MXdc73NejxiMCcyfaOaVVvhisECqaWkiTyYd1ym6d7x++fxje2m6gvBOyzdgAVYm TsyQabhxhMYtv2m6AL5iOqZoOkX+EMEAcidBB8lrMZsL5+mdK6Ak+RRDprHVVyArUNNPpFq1 PdF0jmwagM7DhJnGhwd9x2EhRp8YwaSj4WOmYSx4fuO48OyPmBYbtPdMTa9omoY3giDEKUON Bh0Dls1tE6+ZaNJyPZqmUb3C236eml7TNg2L2uicGDRL/Np4J77YNDSgio3+pumE+LxeXTRd 4pZpmDgTnjXtz9ejkA+/TtMz0NxsU4Gxjoaq6Q2mMO2dpHe1ZhrAtolQixG9NNVxkJWq6R1E 09AUerPaDRZwZAbTUmFfedFnp/hrM2kdpNxa+ql+5cgnabpGZ9I64P4mXVH/P8RnJu0/cM80 oP7kF78yuyzT7nLbNLAqrZTmWOd1JL0/cDLztXAMboVF5hemjbE7d3FtLjQeNC1N4vW1udB4 fNIW72eZNh0h/ADxYJNYnzS2dwAAAABJRU5ErkJggg==</item> <item item-id="119">iVBORw0KGgoAAAANSUhEUgAAAGgAAAAXCAYAAADnaAq1AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIbSURBVGhD7ZaJjYQwDEWpi4KoJ9XQ zBSTja+Jc2CH1S6KUJ6EBHxy+due2eJiapZBk7MMmpxl0OQsgybnxQZ9Yti3uO0h3fl8wh63 LX2fruPkl4rzIA2uPbQzerqQ1zliZ5mGlxp0xoODNWTQeaiA0VhtEgb/+4J0bYKnE7KnMWOE V7c4zFbXIKq0omrAMBn3CXGvg6oN9XSEzemVpsMyCAO8xyLh9bsm2AnU2VRPT1D7q74ZhA3i fo0lCBuTcpSNaz1fOSGU3gTE0v6XIYN6AeaMzwb0DBzUea49BI4pXONmFRWkD3QeapIzlBvA RbMOGSI9F+fIzplaD8o243LGa/7EIL4v5ilMcXS8TzFIOq0hCTtmUtXicrabcYBF5QPMFr2Y Ms/SHuDXBlUtSp6LRNFjLL03P5s2kmvtbxAuVpVsBWT5d3JYrAgCmYy6pT3AkEG985oxoDNc /5Wu9J5B6SlXqE1lUBoIpQgHayYVyipo21Y2wdKueLzFdfZkjfPmbPWOGQNFICiDYKM58Bio XjAgI9R7ywRLewI8g2tQoqj0q+ymvV8n7rWOcVDvL2PbgQ2SyXljuqdWByzaGzBli6Mg58rT 2cpnrc5FQaTvi/2pWHTbmqczRWe4EYD2N8ikbG8IblC908+WthjinkFVexMgO/RfaZ1Jlrbw uWVQ096+5BbZGmhpC4+bLW7xNMugyVkGTc4yaGpi/AH2LZT5y5rzVAAAAABJRU5ErkJg gg==</item> <item item-id="120">iVBORw0KGgoAAAANSUhEUgAAAHsAAAAXCAYAAAAr8TBeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKHSURBVGhD7VZRssMgCOy5cqCcx9Pk MjmMT1ATUERj7bxOdWfy0ags7gLpyy5Mg2X2RFhmT4Rl9kRYZk+Ey+xjf9nXizz7EVbStd3e KzPgsDvRhchSxGk2dT/TM9tQ56PnN3OGt3Xwzj6N3QoBgOBJ4N/Aac12F3c0UTX82N2eeMYb R/ejUZtxkcnva0Odj+/38Vt9ycc4JrtZdh6KQL3hj+IwXAc0g4qdwq+zZdDzMtevM3Poeo0P mzGZrKy4dAjf7EDAEkzMnxi8sxKgGUKjXO9SbWF5UzuT8UnGhmlcrD8C+Q8aDeAI5GRC4m4f Tb4Oco48d7Ja3F7OUfD8RWHFLktGedDWG+jW1HskfBhfKiYlJwLZbAf/bXFVVxgRsB6LAL8t LWyAbFSBGDeHFvcpJ94BhC09rTlHgLCaOS1mA3Af5CBreyHj87FYoUsFUEDRbCRygcWuxjWa KDfsESDZqIQWdyRnJ469IqpkdtDxNhu6FfYE45Q7iHwhHi/cNh3KZodkxOKHS7GKq4w3BdB9 1zkt7kDOHsAkqXKhEdKYvd/R6QTA6cPu5dHEFzQQG1JAl9n5CO0VnnenFreHc9gYd4XGBHUG GvFonhPmfZkpaco1QDTy8dh1/K/Z0K3k0GizhwBypAWCjzI22QRKNfQ5M4PYfocmvhCncXxH iGajsJQsVTRNMJA/FZ6NcIAWdxDnE2Q6ZHoI5jnQc3l+0ajwkLNVPvK9bh3dFEpnK0BSUlXp 7yYI40uLO4RzbvSZ7UD/aEBFPq406FShLbW4b3NOjm6zndz3OBJnqf9epSMuIhvhF7S4Nc4F DW+Y3YbTmDVqvwQfNNt34Rq134OPd/bC92CZPQ2s/QN1o/L1DgeGkAAAAABJRU5ErkJg gg==</item> <item item-id="121">iVBORw0KGgoAAAANSUhEUgAAAIcAAAAvCAYAAADJqNmJAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOYSURBVHhe7Zr9kbMgEIdt4PpIDXbx NmEf6SDV+NfbSYrhXD4UV0CWBAy53zPjzHlmFOFhdyEZFAARIMerzJMahknN9rQbng81DqN6 PO15AMjxAvM0qGHqTguPp3qMgxojhkCOQkiMrr3weD7GoCCQowRKJd9ihiUkO+QQM6spu8Yw YXsYH8tfn87xvSCHEArBeUGDOnsRg44u5DimF8ghQhI1DNThvcjB3w9ySCioNfqSg15xqz0g h4CSFUo9OWw9o1MX7Ve4NObvXXifyW3DMgFcaoEc2VBHpzeNQtSOHP7952mf8khmN9D6czlm 0+aYvR/kyEZebxA5ctAgmggQOZKDukWH3cf0Dqjf3tz2b5+DHLl4M0pC7cihCW2FU320e66R 6Dx40OcghwwaAGnBsVBfjmWmL/ef6TleZDimkVw5yCsjGuTIpXBXVKeManJss5zQz7JthBwt EcvhVg/ukBezacxgr7WGTi32WSRjcVqBHHIKI8dl8IKUnyeAHFJ6k2OBL2VD37yGiMhhQuF5 H9iQVrXQOocvAauOXYdyrONE/SNoe0AOlsOieLn0Qjm2WTG3keN+U8Ptbk++m/vtR/37zyOH LWpyOrnJ+j0Ki3CCdhfTZeQoI5xWqsjhIlJeMZQFbyfkeCtZcuxyOuuYqyKHfq5rkz6WF5m5 HF6upePQzsT1tQ9c+rRSQw4uh/lQiFI5eBF5OHIGIBk5zMBvlbkVYW1r4joJsLaFRTrIsZ81 qb64tOZIyaEHmA2s5Dq/tyNTjp3oH3qckZTD3STVF58qh0k7vL4xslO0OLt+uLcDkYN3codp RUcGPrheJDy7DjnO5SDMQPJZZtDXPjGtuBrCa/de5JPrMTn+9D6H7RQzg405Jnq4/7nONLNs +388uhiOg/ESduavxzR57XFtcc+0x0Hi2PX9u+0E+fORA8SBHCAK5ABRmsvhFcmNgRxSmsqx 1T6QoweoYG85UrFVU3WoWIccMmiwWi7dIUdPLKH+Ejm8ZXcTUyilmW0HyJHNNqOaYOVY926o 5jndU3oDXoSEHAJoV7hZmOdpRZ83kGOR0H1jDTkktFyxBOWoL6c/ASCHiC0fV+cSOfbvBzmE 0MzafihUkQvkoO/S/HeDHGJaRA96hl2hUJ1hfwa5nldx8/hekKMA/W113fjenFCxDTkKabpy qQxPJw7I8QLfIEhMDAJyvAgJ8rYfMrXEFrip4hpygAhK/QIqVTfSvUYTnAAAAABJRU5ErkJg gg==</item> <item item-id="122">iVBORw0KGgoAAAANSUhEUgAAAEkAAAAVCAYAAAAKP8NQAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFeSURBVFhH7ZSBjcUgCIady4Gcx2m6 jMPwVPSsHCgmF/Mu4U9MWiuV/wN1YNrKIClkkBQySAoZJIUIpAeCcxCe9ioqQfQOnI/56b5S 9OByns6FnHEX5o7zaw98vKwXpGZ8s8GUzHVIfW9qrsyPOYTAAZDi15o7KUXwW0iomshVSM0g l1xKJI+y1kOcJhfxG/0bSE846IDig5g4iidaQsIft0E2vQsJu8DH2I7LwnDx8Cuvg3hGG0i0 ZYdOIE2wubFr3SfUdcU8ruz352wU76L+39c3ZbwkARKSX+V+tZOqSWKoGedy7LB8r/BhPBUL CSvx5ZDym1xI7JQlpGX8LPG4YTW+5Lhxhmqucn5lz7H+PP4txcXNn9v67VYnZWHRRi51fwlu 8UFyO4onGpAaIKwuEsYf97m+AVZlzOuq8RfCorXxNtjul58hFE+M32juJBMrg6SQQVLIIClk kLYC+AAqDCfX0DBX8gAAAABJRU5ErkJggg==</item> <item item-id="123">iVBORw0KGgoAAAANSUhEUgAAAFkAAAAXCAYAAABgWeOzAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGpSURBVGhD7ZYBjoQgDAB9Fw/iPb6G z/gYjpYqLRZw01sSs0xicrGc206husXF11mSJ7AkT2BJnsCSPIFXSz52F7dtw8sHutkh+LwW LrcfdLdgjbd4r+TgU7E+Zrch+lR4TzQKuhbk9VyUNd7jpZKPuLtKKkh3e4ooHHt0V0MI3iRr fMA7JWPRLoqNpN070YTgemqUNT6AJOedkecNJJqPQ/4b4uPj2C3yv1F3USdHXK81hUs0xAeI nYwvEjpywZ9FlAY0H4hJ8Kb04S8Q9Rpl/qlkiolxIsRZ432qcdESqszAG5DIsx81o0ke7SyK y4ayZ1jjHe4zGR9Wy+KSqatwiRfNRMlajmreLXI97a8Da1xSSU6ikriA35+8S3InB68V81yy eVxU+QB81I0YrbXGa5hkSLyIld+FZ1H34goTdzIAI+MqNJ+uYW+ojvYxt8Z1SPL5z5Qonz9Y SIm3f2Cy5ATuKMpTCqZ8zyawetQjbo0PuM9klZw0FCJ3OGe+5LfwseT20VySWzySXF5UIJGN DuU4wqVu9B/m4U5eWFiSJ7AkT2BJ/jox/gHJEaWv2UOP8gAAAABJRU5ErkJggg==</item> <item item-id="124">iVBORw0KGgoAAAANSUhEUgAAAHQAAAAXCAYAAADa+mvTAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJmSURBVGhD7ZcBjoQgDEU9lwfyPJzG y3gYlpaipbSIruNkCC8xWQdGfvvbOjv5QVcMQztjGNoZw9DOGIZ2xm7oukx+mti1rLQi1xZ/ rPTC6hcWOwvdZHNz2/518dPs/Ea3CZ7T2RWrl/Uk8g7dnJ/VA6IA7fPfZ/NuPoo0GXVq0l7Y Mfn6fjJGGIpm7l+Ie47c3tDDKEcuip195h0YfaVMfonV5bFiQnnCJXE9Wza7cPEODOFr2DRi yvECuawnR3mH0gN2EXAvDO6cvIMEaIhS8PKzYBI8AjuMG5p1N0GT0Tqyqkeg/yjiBwQB+qgl 45WRUqc2oggtQa+hdCBHM6SIKdzTjW6oVhDWmSd6BLqhAayK0JnFeCD4OxVFN514FIG5HQOG PW2Gok7cb1ytmUhAcmsF2mAojNq0XhhKe09NTpzpEZiGpqpRuxPXeFAgUje+pKXi4Hnf6dB1 OTlXM5R3WPjbscXS0ADtz4tPz9+pHoFtKCbVSDwElYm8Mhb4XqpWuIoqft9QSP5pDGiG0MY+ q00M/dkxH1rjNOkR3DK0HLF3DYUEaMa1G/rYyA1FmiVVdNpBGavahURtDTDXm/XkfNHQ2nde 7lAco7IYKq+QbELZeQJsQ2P86jlX9TBUQ1EEf5hUmwUEXDe0LvI9Q4tY07UHQ3qFKfx7tbgL Q9n70xqzuwZ+tSW31qEVUBQzQ95XOczHcakKfblDO+KeoQH5b4tWbTq8m61xNQy9y21DkzH2 OIhmyVF1/IgBw9gz0j42kuBSHz0w+YehbWzONY7iwRN80NDYfe2jePAEH+/QwbsMQ7vC+z8G FLsU43zplgAAAABJRU5ErkJggg==</item> <item item-id="125">iVBORw0KGgoAAAANSUhEUgAAAOsAAAAtCAYAAABPu5x8AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAT6SURBVHhe7ZyNkYMgEIVTVwqyHqux mRTjsfwo4IJAgAv4vhlmYhSBxz5AzN1rBwAMAcwKwCDArAAMAswKwCDArDd81mVfP/oA1OWz 7uumP4NbJjfrZ1/fr/31XsWnArZlf8OpTdmWNwbDRCY267YvL2FUSkVmFfkXDPvtEQPqUjiY Pozpl8Gf9V1kVsoHr3ZCrGCg9T0wKwstnxcxt4I+iFVM6aPKg4BZOT7r/sZQ3xEaHPHsegfM ykB5sLHUF2h+D8zKsC2vhoGjd6jl5hfNJmYj7Nkzi+wnrGaiwKwXlJlaxw0NCKZeeH0h2Jb8 x5WHAbNeoJmuh3nOGRYTioD2CV7Y1IsxvVntGSwJGTT5ZpXlmPe6fgq5UZYFs0oKdX8SE5vV +lGETImB0C1o9OsKWv5hRoFZEyg0KxnhLsBSrvlBpHlaB42rTfbs/zNUjIMmqwwq2x6w7fRN H6v7ltW1XLN8s+bMBCOOls3N6j2r6iCVATSSYWvHQROzKq77FqYPSvu50KxfapZp1pRRwUMW mpnnP0kJrH+DguwXtGwQB1m65+nAbjLK8lq+ovP5XrMss5a+fxzqHRrMekuTOOhtVmmefmat oZk2q1kWUDIiqMa4x76Ydj46Z/J413kjBIe6x31qD9dOG7vNPUdmItesbl1do3jnvGCWQWLO OX3XKA4SYuQkTwfOrKp9sX5W8Dqo9ik5zWdLg8uAVEczK/pVZrsc52V9ZL1ti7Et3DV243hO QeKpPVcdTuicpYkUMt6uulD5qUHqtcN5FlfnzoFGHR8BTe2ygvuzrmeZreKA7usZKkyODrpe VgyplJCf1cGYitpxfj60dXTWVNLMjX5HMHGRU1FqcKiBurP1Ta+oAnvMQmdnhNMdwSWLFP16 v5btkjvFTJlHCo0UseDngsceePRn7t7N4oDqFGqLoFgHgW0IgzFwtO9COjBaHZfIY9estTTz IldllJmEeHbmeIECppIn/cyaDdMhsq2ccjEDdCF9RuEC1MD3pddHRhdOmwZxQPdNj490HQhe C2MS6z5MLBzf2d/r7+Sh/ZnwjwW1NLtMM6phwqi+GNxofCBuKMTYgpVSBdoN8JFiJKQukHhc oEc16EFGkMbqKs/5/RHoI//aRnGQ9/voGmalMimmEsu1dcg0ay3NmOhXJ68zC33PNcwVTgrg 55UNiItrzHiX+hAKBj0a2x0vOqLfiiEnSJl+FP2wyLrqdlh94gS0uM7+R2buY0GLOBD3ZMwU JkcHr20aNdsxdbQJ6SDbkWHWSpqx0R/6j35upxGm092KSxEscaQwfiV+HWFCvsraBCZ1bVde kF7q6gTs2XeXc3Y/UvLaWD0Osge8VB289vvpru9YHUL3FGbc7Otdc9bQjJ9ZnU61oYpyI0QM ypMTYL+CEBP/yCtA3Tjgd0Fn43vNLmYlJ0cHHDkCpBZKhflLgoEQbcX/tQ1QKw6CK5gJ+VKz w6xJa/gD1/E8Kde0RDVWLUnKBwz8YXiML+OAgvcxTjWUa9Zrx6Yz7jONGYgeFxdgKuY0q3jQ d2dD/TAPt4KBmXRmvcJuiwMwEA8xq5pZ4VUwMs8wK21kBF9HATAGjzArdnTBDExv1tv3xgAM wtxm9X/Ghh85gIGZ16zCqOYHEWe6exkNwO8ypVmPX2P5CethMDCP2GACYAZgVgAGAWYFYBBg VgAGAWYFYAj2/Q/8aUdv8EtYbAAAAABJRU5ErkJggg==</item> <item item-id="126">iVBORw0KGgoAAAANSUhEUgAAAPcAAAAtCAYAAAByKf0aAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAUrSURBVHhe7ZwJDoMgEEV7rh7I83ga L9PDWIZFYRwoIFiX/xKSGjfmMx8QTV8zAOCWwNwA3BSYG4CbAnMDcFNg7sZ8xmEeP3YD7OMz zuNkf4NiYO6Azzy+X/PrPapfFUzD/IazmzINb3SWlcDcC9M8vJSxqVSZW50/YJhpj+pwh8rO 9uHA3IzP+K4yN50Hb3dCzYigbTkwN6PO3DSdH9TYDfqgZkW1j0oPBuZmVJn7M85vDC0doc4T z96lwNyMGnPTOVhI6ws0LgfmZtSYexpeHRPPruDrxT4avdzC37NGMt0umB0VAXMzys1tzNc7 76gDcfV65OuhaSh/XHo4MDej3Nw0kh5htnUEf+QARusaLyxalgBzM/wRMguddOXm1vdx79V5 iblX3+vJ5n7gjGUHMPeC9xGLLpmJdFjS2ddBND194ggGcxeTZ+5kQpEpfiVbzjEXRWvTO+lC /YpnF7swnV7dbKFhbnSZtZjYglnTUs7SkdRruM/cJaPIXXve7uZmz9o2yXUCHmJwY4BiU7XO jS7mNmzXWZzmf87XnRrmmZtO3CRSZo/roytQeM7ZyUnMv0FJ+g+9O+RGkc5lcYuLqPp+PV9x /mK/hpnP3NM8siBr3+3e7n0lzL2hS24cbW51Ns1Y/mXuFhpac7tpCBUniglOnhbQPi60fw3a 585nx7HeRcJc43c5B5IWPr4uRydLRZIv+oZ5YPLF/fZi2pixU25k5M1KRdzM3EaLVLs6wvYN 9WD7xHu4/X5922joOcSc7Nct+rFE4lnAF2oapGNcgthNgTXgdDkHW91WaJ+noRY+HXtb6P6Z SU5185LvM47qPJdAVOf195JQ0npDr9yg6zJzxCmIWxGazJWc81nbB3qYfWtnbraXGES9LY00 DB0SCKgOiohpxIgFb4OwN9hibt57BEu+R6ZiKyfuY+UX0SmUbqTt9XrGnhv3BtvxbPb7HRLv nPR2aO5uuUFaxuquqI5b4RvG4QyfbKvALwzJoIKWUr1aacgy15yoT1KVi+mRvrlCaPSVY8zd DaFRtB6SWKnGPwRqz0Q7cVxsfnxCQi6h8m1Fr9yg6+bnTFncus6bdnIm8q7j9LEBy+cZZB1Y fO563jWJVhpuhiVTYWXslDhSr7SgLq4CnqIVNDf3E4Kjg80op4HElho5qdMRFJrboestGNr/ TfBtolNulH1P38LcdE/Ks8R9U7H6Gi5E4uPHNtJQcIjZKY5EC3SMFHQoqhaHX0cnRFp4Z95f 5TzEksn2/n7iqIY7btZSkOSqXfw/I1weNUrN3SU3TELnq1YQt0Iytxk9hToGCF5RMQw6eNv2 XjzBfdRxot5mq4mGokNy/sEzrAzhggkTQQvkCacDTAp2UZRp5bBsArhyaOwFSe6311JPVvel qMSb/OPDRGyeG8UdYm7csfhsyWordo2gk1jj3uwT9V5poaE8cgcVjEFBSb1LCjonM9kuhxIf f+RnaZsb8qrw3dmv4cbc5PysDovQvUduBejGfAp3M5Qe+J9tS6vciM6IHsBODRdz6+Gchvhi JcPeQibnmH9jxHHTpNqEwv9s++zMDUruxzrbUa/hmVal/kj4jOY6usfnFbg0MDcxqel0MNra xQu4G1wYmDuC+JoBgAsBc4uYkRveBlcG5paghZys14EAnBeYWwAr3uAOwNyMovf8AJwYmNuH f+aIj1LAhYG5HcrY7gOWtfz6eACA8wJzK5av83jB/BxcGJgbgJsCcwNwU2BuAG4KzA3ATYG5 Abgl8/wFVvSLS/xEDqUAAAAASUVORK5CYII=</item> <item item-id="127">iVBORw0KGgoAAAANSUhEUgAAAMUAAAA/CAYAAABQMQyPAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAWrSURBVHhe7Z3h0dsgDEC9QPfIDNmi S3iPbOBp/KubeBiKMDhA7AAyRiLWu/P18vVLgkEPCUyvgxIEIUCk4MY8qmEY1Wxf/izLpJ7D U02Lfc0IkYIR8zioYfx5HTwWNT0H9WRmhkjBBBDiVj54LNOTlRgiBQegZLqrERZOk4JIQc6s xjusIZLw6QeRghgoHW6eJDa4lFEiBSmSJUJ49IdIQQnBWsLscA3RxShVcVhbiBSENA+AZVIj lCf2T267PgY9UVC3SaQgA/boiR5eaSkmLSPL9Qw81HtOunfoECnIqFM/75ZD7jqKeD0bw1/x XOTTrytECioIZ8RlGk2G4ikFZFCR4p6AFCQR+S7bVin0a6ilGDGPtGeiRAoqqJ5iw/e6DAVi 6jKLW7YQKe4KlRQdIFLcFZHiEJHirogUh/yWFDDQZ7fTTJ1L2ylNECkO+RkpzH55tUHm+Y9P qvJ6qOHxsi8En9fjj/r7z74goIoUVx1XYHkMoRaSKQ7pP1NcPLgcDohdQoV+232KfeLiQudS tHgk/6PHqyVTHNK1FK2OCfAvo9Y10PZQLAeR4pCOpWg5g3POFtA2W4KIFFXoV4rGg8p9bQHZ TKSoQ7dSFAUpBIC3oAuvzA7Qn8G5hGIphd/vHQnYqRTvk5ZJttOg+j2jCxpEOUR41DoHdlL4 p3Dtwb9etrc7lQJT40dSFAc453UFPymWeQ7aUtw+QvqUAjVr66D2Z67i90N2aieFeUK/lXg7 VxTQ7NcU8H0iRRZ4KUoHNE7niAGi7qxvFEvR+JgHtK+X8qnPYx6YWU6/ZxsUkQLXh2gw5Sod fWaK4gFdH25tbwEp7PpgmabskoizFKbcYirFPPJdi+1xDyng96NFsqvZS1I6TylgA8BbaxRs MbeQAjJYI/eq0YcUcVA3nOV8OGeKYlr0of6OYNLRr2kEWSuF3EzacpxN2WsnNNc3IgUVF/eh P9jvi6KM8jIpNymCuF7bCUOSJ0W8MCb6BzLUuxJV8XfjugK3NZ6/EQGf30KKaJ0LgCS6jZlr illNURqWTHES5A4cPfylgO9KrlXNZk/0PfZnVorVmjDFurS30wFMpQhLheOLB7nbpP7YcDiq cbUUEHflnw+4kjGrj4LSyWFj3r7SrJ3vx/phEIoUFciZEaPfMTNZlPKbc7EUiAyK2cnMlEID v7g16MtMlilFHIypK0Wr8mmvbZgrRfKksRm4z89tnS1Kj7zskS2Fvufc+3PtQk0Se1LYSSca OS9b6DcdflmmFLXpek3hOtzvt1Q/wt8XzprXc22mSE4UDtefWCnM+6N4sj/7mM7Wxmshvt04 UymC2evLxYdE/Qz9jKyvr+NKKXDrCVT5ZO4jFMq1cSdCbF31LeiZbsnGwX90cQIG9Hgw14EL gkmL0rp8CsFJYQI3IQUE5Zl7M0Gtxzf7M4JMvMY9hP1uhLj/v+AQppmiT1Kzo52k3EXQ7yGl UkTtPzwGk+qHfErkciLB5bp2P1Ok0pxIURUzMOTBTkv2WqIBH1LAACUbJ1JUh1NQtKZkZm/B JsWWRnJGBiVFmEYxAUAvxfl7+MYdxeAmBIBbdRZLEdahTsDSAKCVos49pDALUnY7Thdgt1S5 CQHgpIAbKomGeYqC2e6qFItFKEWVexB6AC9FajGewMyIPUmxQ/k9CD2AkwJq61NSrLNsWTzV 27KrA+YehB5ASnFy1sZkmgrZqSrc2iNUAynFWjpgZ0nUglkv7jktyn55e/juoKWAIMXU07Br g5GJ03Yl9h6EPsBLganx49lelyB5/9k/o/UE+h6EXjghxTp7Z5c0kFnsQ6/3lRfobB7wnLgH oR9OSZE7g7sHXR9XVg3CI0ucuwehJ05KYYPlwsDgtJYQ7sFpKYCrApdN2STciipSALXFECEE KqpJAYAYpxee8FBM1+oihEBFVSkEoX+U+g+QjzslJjR6xwAAAABJRU5ErkJggg==</item> <item item-id="128">iVBORw0KGgoAAAANSUhEUgAAAQIAAAAtCAYAAABFwmUHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAXwSURBVHhe7ZyNlasgEIVTzqshHbxG 7ON1YDU2k2J8DKgBnCEMAhuX+53jnvwYYIY7VzRuHisAYHhgBCeWdXo81gezTcu2CwA3ZJl4 XT+MsGEEJ8gIJvMXgAFYJhgBD4wADASMQKK/EbzmaZ1f2xNQxmteZ7i3HhiBhNYIXuv8NOdZ z9k8KsBMxBMuUIVlesJQtcAIJDRGQPtuF1yKjMB83kwCqIUx5anQkEcFRiChPzV4zc8iI6DP wQcqY4SNnCqAEUj0MgI6peh7LWIMzPyVnqaNCIxAopMRvOb12frQNeTRkQwW1wqygRFI9DEC +kzri4R0A8l4RtAnt78GGIFEHyOgIm0pVjumSxcy74uNfUQHLAFGINHDCNxXji21+notzfv4 Wkjcg5lfMTACiR5GQH20Po9tbzZfC11/Uc7hsMAIJPRGYP+ZQ2MEVqh6IxD/aYS2U8WPbgS4 YJgFjEBCYwS0r1+QmeLrIlQYAYwgg2tGoD9qOuLC8Td/4krbr0GHvin5MIIE0hxkzo01gtqx 52pXi2u3bKwX80QUG4EV8bVCOZ9TO9EGCf0xV1cksZQuRkDdbEK904WzT/rK0UUTI3BkaVdF oRHUyBNRZgRckeiPPOzFtW3ygq/U7GuNi/JEByPInaRu0Bz2zjNHpr4+6UKVX13s2dptSqU8 ESVGwH/3rXc0/iq7aydu3+77sXGXhKsrFce/9c/jj/nbEBgBi0ZfSV30NgJBu62olidi+Wvq xmzu2V5IfjG5hsPncXL3feLPpuGSaV/jJi/H1apCMbXuj8uljz8fPQSmNYJwfKHQovfYed7f 9/tU6iulC5VmdLGrtBvBx+5idCncH3s5PBVxxTxZ6LNmVbA9M7jO/X6D/++WzklsR2cnShEm hBl8gJ+oPJJfs9GWbMwlRtFdAedcv6H3vLwX5FePphiisVtd7ON1772Nyz0/Codi8YroNc/v PtX6SuiC2oqKVUYTOw1Ho10PNvZ3AU/L+/GRzyC3GzXzZHF6D08NggSaHYKBUwI0A5CxbUUT tSdYWvL0WnbtiUmF8xaAvH2CX94Z7ESf26sdf7FZpoqME6mvj+0x17ZeXwld0DgSgrxyoNBp 10OKncnPsYt9HhpB1TxZnN4jxXpub5LpN6ofgAyXzL3vcx/fZwRqthz5IrA54JKWKrRm5B8V +blz8BqJ5m/PBZcPlb5kXVBb+XopWBHkaJeZ8+M1/3U/vjhWJvaaeXI4vZ8OXS5QYwJxcji3 J8QByPDJpC4oSdFSaAtE0/73nxoYKG9cQUl5boqiGFLjs+/FcyXMX7yvWl+yLnQ/WVbDCKhP 0lZmv37sfnxxrFzsFfPkcHpn1rDug+diodeZQMUByHDJdE7H9Gvbz5+o63T41sAiCXA7uvj5 MZPfdkWkKQZGH2aOJju+bezefAVzbfbzf2CUiucdl1Jfoi5MO5zBilw3AlG7PlLsfnxxrGzs tfK0EX5rECL9qm44cTv75IcCcAOWXhM2JpE2yczrIWcBlkNjrNFOBqbA+dCiPH2M/yq6YjiN LygMXw/Re5tYj/eiuDT6EnWhNs3c2PXaDWBjl9o0hb74+4eFXyVPO7TCMO/zKwLRUWngjBsl uPZT3dRfp6I86NmnmTz82KZHrr7kOVqm3nr5Ca7n6UAyAnKQpLlZZ8s1g1y35aAgmKVOczKS VxOTT/wev8dHfSV0Ia6wfiFX8uQTG0HWec5BTrGQCeQaRkznYgzQ9O2SvS/pSkWI3+OPkeYg MTdUGMO4wE5BnmLkU4PRyU1iuNrZjXQ4LYJ7AyOQyDSCxSzpg6P4drEGTgDuBIxAQrGsiqCr uTACcCtgBBKlRuBWBPABcCtgBBKFRkAXq1Q3sgDwBcAIJMqMAFf+wS2BEUjojeDjvRcAfCsw AgmlEZhEBrd74gYhcCdgBBIKI6AkejcUua3g+gIAPwWMQCLPCI47MeMN5wjgTsAIJMouFgJw S2AEEjACMBAwAgkYARgIGIEEGQFz7m82nP6DO2NvgWd0DSMAABjW9T8NfBMoz4fuCQAAAABJ RU5ErkJggg==</item> <item item-id="129">iVBORw0KGgoAAAANSUhEUgAAALkAAAA/CAYAAAC8RGmZAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAATQSURBVHhe7Z3rsaQgEEZNYPO4MZjF JmEeNwOj8ddmYjAsDTgDDiqMNo34nSpry6syAoemfcxspwBonHoknwbVdYOa3GqzzKPqu16N s1sH7FQh+TR0qhua19tjVmPfqR6mF0FcchL8UX57zGMP0QsgKzmlKE813PHkQV4KQcknNTwh Bz8E7cCNmOQ0VSOCWZC28CIkOaJXCNqDExnJBXJxcwenWy0VTSXIzfkQkbx4h86jGigdcP9W mR7ogY+UhQcByekesdDDEC35qAdXldcD9JCoH3XrgKsRkPya/DOafizLlsE6WtKmOi96kZdz UV5ywYg1j4OZQeqUnGY4SM6BjOQihr3TJCu5XqfcpSKmAe+0cFBecqmnnPS5ywxCA02nNbVF c0jOw3MkvwGQnAdIXhGQnAdIXhGQnAdIXhGQnIfykv/+qO7n160An9+fP+rvP7cCLgORvCIQ yXm4peTRp5wnllqA5DwgklcEJOfhpOT2C7mvhywpQPJNIDkPJySnF4rclA/JLwGS83A6XaH3 QCD5NUByHtqUnD5jmWVuNKAgOQ/tSe6/5ehexLrLN24gOQ/NST5PU3Au2ecnCCTn4UPy3W/c 0LIStPqcnD4Pkj+a8pG88GN9Or+7pCt4rM9DmxeeLyY13CSKE4jkPJyW3KQ3lUo+Dff6ziQk 5+GE5N7DILMkdlAhyWmGKZn6XwEk5+F0JM+mhOT6M4I8XK/LCJ/32kNtkptU1AWxnPZ7HxfO pPvlhUEz9nn+TZGc66zmJPcb8r1IpC35rz1UJTn106vdbF2Ou22pc6S9d8uj9fcxtg/DMozg rwPs8amil5dc7CcpzvLd76KYDkuS/P2TGfLYGSjoJpJ0tx5O8GjfHpQ3z6tyqSyvLcxDvVXb B4NmHxnJEyNbXTxIciPV6lxif/OwqcRG++SWR9v8ERET2hyfMrtISK5PNe22nh39S8ohf6+b W/JwyhYlGiVtpI5LZbf142ijuVm843PKI3nX7WWOjw2SaiVPiVirfTIqxAez5LHOjZD7RPor ciU3+2vJ9fnbzUuAcmUklmdz8aUu/v5236AdY+JvEEj+/oBzyxHUUbt94RptvZSO5lcIlSy5 rnOJ+iXVKSblXqCJ7e/60OyfWd4ie9Aebv/gXD8GThz+SL6cnF8bqnS0tRy0PUWMovBG8sOB XxLTZ7H0YCNyxiTWa69InVueaeu9oHa0PUQgXSGoAXaEiTaaNJySH7SHR5F0xUnkF7Vfj8/U I5Q4tzxbz62qpAaOBSHJbSWORmpQES1+iel8m+8kN1IedAh1mmzdIgSzaUTiFUY8b6CaevsH 5JRHAyTaZs6LzAAoJrmt6N7J2oa4NkKdIVfy1flvTs1H7SCHFdeef9j8kSCkCWaZSH9tlmdm bu/YteBmVrDbvgkGgpK7SovLK8vetAyuQVRy4smdXGWa0iCJkodT79VSPlF0CF6OBMnDXHTJ qzhEr++OCgMuv4Tg5TiWfBpXF0zuogOJJLgJX+XkJupCcnATvpDcRnI4Du5CvuSbN+oBqJNs yfE9RHA3siSnOytIU8DdSJd8/e6ITlsq+w+NAYiSJvn63QKzPOCeNmiCQ8mXhz8fC/IWcBOy LzwBuBuQHDQPJAfNA8lB80By0DhK/QcXj2dJojGQ2QAAAABJRU5ErkJggg==</item> <item item-id="130" content-encoding="gzip">H4sIAAAAAAAA/2xTXW8SURCduwu7sKVQoB9ga9fSCiyofEjVx2vTaJMaTfqoJnULa4tJBelq qi/uL/DNZ1/8CcZnje/+JZw7d5by4CWzOXP2zJlhsjcDAALDx3AIm/hMBe+OgtPh6G0C1NnD SA9Gfc2ZxD1WsvP+s5M3QT8kBl5RvYFP6+JsvDe61PRzDBuJo5nwBUYb49cawGfs/ql0lauz bOmhDDBMAoVZ84dhOBmevA8DrTzAyMH8SciDynxuQJIsEuEkCEpESYzFMUFLyvJvgChpS/kN gbRSDOw0g5TDIL0gpYHNQtyTIcQuZKT8eojFDizqNz8yAKYwOuq/ZHVVlM5JqUaUWSSXNI6y 1DwvpfMHs1RBA5kvSln4i6CwrA0HRdXqI6xI+QUHjoqwyjUra6xYVYoQSjwBpaKr7MvaLCpc Y2lZm62zWRk22Gz9Ois2tNkmm1Eq2jSsy275G6x1tdsWu7lQYbetbVZUtNsOr6kCN9l352pN 6lR5VXaNN12tM6h5uuJDnSdp6PxnnEOTa2u3eM1NNLzNa26S/R3OqpS1uMBqc49Wh0G7y3N3 cDzj5Rju8riduFmPa9u73KyHhvfYvkf293XN95b+7/CA7kNu0D0+nfjjs+PXo8m5HyZJu62u FdH7fujrXdRnny0eky/nJhOCMse/HF48Ih99FRvqcxOs1Td2ij8QjacxC/Psk/+wsbkdTvx+ 0N2n/uCx0BVLIDwxVUgID3tMXWEIz6R3JjJTxSRQA1MESeEZkcRXVqyxSYMgpTRKnEYNdnaF gxoqX1DOqjyDGipfVBpVlSUNglzcnYf/BwAA//8DAPRYmLfABAAA</item> <item item-id="131">iVBORw0KGgoAAAANSUhEUgAAAU8AAAC6CAYAAAAu5c/sAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABFnSURBVHhe7Z0LlqIwEEVnXS7I9bga N+NinBQSDZBACKGoev1un5zRHj95VHI7oOK/NyGEkN1QnoQQ0gDlSQghDVCehBDSAOVJCCEN UJ6EENIA5UkIIQ1QnoQQ0gDlSQghDVCehBDSAOVJCCENUJ6EENIA5UkIIQ1QnoQQ0gDlSQgh DVCehBDSAOWpxL9//9jY2BSaFpSnEppF1SQM1/ESFqi5BOSaUZ6AUJ6+oDz9QXmCQnn6gvL0 B+UJCuXpC8rTH5QnKJSnLyhPf1CeoFCevqA8/UF5gkJ5+oLy9AflCQrl6QvK0x+UJyiUpy8o T39QnqBQnr6gPP1BeYJCefqC8vQH5QkK5ekLytMflCcolKcvKE9/UJ6gUJ6+oDz9QXmCQnn6 gvL0B+UJCuXpC8rTH5QnKJSnLyhPf1CeoFCevqA8/UF5gkJ5+oLy9AflCQrl6QvK0x+UJyiU py8oT39QnqBQnr6gPP1BeYJCeR5Att2R1gDl6Q/KE5Q/Kc9UYEdbK7nHam0gUJ59wNyKBoGS ZyqUreaUhWBy2UrNOJRnHzC3okHcyDOVwFobQZ6ITeS2VdoMQHn2AXMrGsSUPNPJnGs7oDx3 ktvesSlBefah6zO9Hrf37fEarzXwvA/hh3Z/jr/s8LgGuESe8pyl1gnkiahKrkaxdQa5Zi7l KYJLhTcQZDj/VZHX432LN5bLYSOkwnzep9e9cWpR4ySbNwUoz5PJ1TW2RijPPvR5JlkxZiwp wquV5+v5fKdqHGR8e0x+t+fxrNGlqOnESduFUJ4XkRsH0iqgPPuw8UzP9z10Rjr07989XAuM q8Lv9aC3x20ptUF+8b4zCVYhQp7fT5675bEMsKuocttSM0ao7ngJC5e5KscLcs0MyTMwyPL2 TveYX4/77/rw/1GkP16vZ1aqteSPc4rMp33xQrGo6UBPmxMoT+NkxhZyzWzJMzA9nhlWmvdk 9ZdbIQ7kV6R1BEl2f8yLmQ3gSXMM8kSEBGz8pZiU52TFN38R6AR5Pu/LlewHv/KUoqbjdd68 Qnn6Y5ItNxilOURyGZRn0NbwAk4QZ2gTd3WWpzxP+T7e5dlW2JrxHG8zb2eDKhnUXMJmtisG Ugckl0l5flafmbcLFY55NokuiHjy+PNVbroCdkaUp2pxK8Z9zW3W2JyITkHNJezOFgdJ2gwi uYzKUzyZvFD0pSxJeWvRIIzJyvQj4flqdfLq/LfNpAzwanv81wvS3dW2dyI6ATWXcDhbbiAY QHJpzq8dzxQk+SgsI4u77mVej0dmtbqO3fd5fv6ADMIvbIe0qN4EukZpIkrErZjxNjW31aaU C4Hu2eaFvKiYksumPBe70FOmr8iv8RHN3k8LWf6EUdq30naYyxNFoL0momyOtK1Rc5ujdBeM IU7PlhZSo1gjksuUPL+73jVinB+z7IQIyao4h0MJk8MLclhieQx4XlQUgcqAtYZs1rVWg8Vc vVDP1lqEnUguU/IkGywOWeSPAeeKSnnaIp3XlOeJxA2dtg5Qns5Y7qaX5Zn9Kf2eP/Z+krme bfxp+sltzOYfub8Ses8Eyh555hjkqVjw3siARaR3LinxVpnjbWpuewTzNZtviMqNIbkoT08c 2G2PUJ72sJAremNreNTcJsVdzdINsRKW8vTG/AWjwocGPAtyDcrTB6l3cm2NmtuoknY86Zgd ec47qNUcMn+rUu6dAZSnL1BzCb2zzafwvK2x5zalll7hytMdn111KVzpLV2Upy9QcwnINaM8 AaE8fUF5+mJYuMgP5YnHnqIOA8GJbBEnooCaS0DLFufL8KM4b3BHiDH2FjUOCOvIgEUENZeA lC2dJ5JLc87gjhBjtBSV8rwO1FwCSrZUnILkojwBaZWn5mBoAWUizkHNJSBky80NyaU5X3BH iDFai5obJJZAmIg5UHMJCNlyc0JyUZ6AHCmqZYGiSgY1l4BcM7fyPH7quOT9kslHHk2fkq6S o0W1KlAZsIig5hKQa+ZSnssTZAQ2TqA8Z+2kwpZPhlxDj6JSnnpQnv7wKU85OUbGkiK8anlW nFR41+MZo1dRrQmU8vQH5dmHjWcav6xtaKPIBskl1wtnERpWjvG+Nd9vVHN2InnumscySK+i ag6OGkJ1x0tYoOYSvGWLHtlCcmnOj+1nGmQ5/brfybdoFs4i9Ho9s1Itsdztz0nZ91cPI4Iq GdRcgrdstXPHnjwDU7EFqd2T1d9ixRjJr0hL1Mlz32NagvL0BeVpA5k3ruU5WfHNXwTqJM+q 3XbK0xyokkHNJXjJtkecguQyKM+gLVkZ3oI4Q5u4q5c857v/2cMBlKc1UCWDmkvwkG2vOAXJ ZVKen9Vn5u1ChWOeLaLbPqkwj3nmuFLMqJJBzSVYz9YiTkFyGZWnCC15oehLWZIiw2FDTFam 4yv4K6vV4T65BxRRZ+9nnzOLOmyvEx9/jfDM4yUsUHMJlrMdGcuSS3Me7HimILZHYRlZ3HUv 83o8MqvVdfg+zzJHBt0RLE/EI6DmEixnOzKGJZdNec5fKJqxfLW8xGd1uffTQukuvUc0ikp5 9oPy1Ofo+DUnz++ud40Yg2DPEFz++KcvtIqqLVCrE/EoqLkEi9kGxxwcu5JLc/zjjhBjqBZV dQBhDiHUXAJyzShPQLTlqfV8yBMRFeSaUZ6AaBZV0BIo8kREBblmlCcg2vIUNASKPBFRQa4Z 5QnIFfIUKM82KM9zOWNcmpGn9GGtrbHnNmlD5ip5ng3l6Y+rs501F8zIk/SF8vQF5XkOMg8o T7ILytMXqLmEq7KdKU5BclGegFCevkDNJVyR7WxxCpKL8gTEkjx79gVVMqi5BO1sGuIUJBfl CYg1efbqj/ZE1AI1l6CZredY20Jyac4z3BFiDM2i1tBrUGtORE1Qcwla2XqNsVokl+7zERU0 i1oL5VkGNZeglU17zFOeoFiUp3C0X5SnPzSyXTHeXctT/dRxw1eA5L6WIzkjfXKS5itPbWdV nsKRvmlMxCtAzSUg18ylPLMnQ944gfIh5Oz1IseMPOffhZT266qTKluXZ2v/kCciKsg18ydP EVnGkud/bUbmC+EWX0gnt5l+Qd35/VpiWZ5Cq0CRJyIqyDUzJM/xy9qGNgpokFNyfdxFnsto WPHF+572pW0ZeYrIJ8+X6d8FXySnWdRWYr32EO4xXsICNZeAXDPNebb9TJnjipNv0Vys9D68 Xs+sVPuylOfy8EFO7hnpnowHeQp7BYo8EVHpnW3vmDkLyaXZj6pnmgopyOierNoWK71IfkXa l1Z5avRtioXBdQaokkHNJfTMZkWcguQyJ8+JpOYvAnWS5/eL5nKt+CCNu+2UZzdCdcZLWKDm Enpli/PTCpJLsz/VzzSs6G5BnKFNnGNs5bk4jJA9rEB59gJVMqi5hB7ZrIlTkFwm5fkRVeZt PoVjnpfJMzB/q9LyrUn5+52JZ3mu9R1VMqi5hKPZLIpTkFxG5SkiSl4o+lKW5HdXfLIy/Ug4 v1rdwSDt8fFDmz7/p0/D/+U6Jvc9+vw70Sxqb+I2zhH+Z7yEBWou4Ui2tbFwNZJLs287nikI 6VFYRhZ33cu8Ho/MalUHvs9zP6VJc2QiWgY1l9CarTQGrCC5NPtX/0zzF4pmLF/lLvFZFV7x KR8h3aXXxPKgqyU3eVononVQcwkt2XK1t4bk0uzj5jN9d71rxBgEe5UUa8gf/9TB+sCrZT6J ZMAigppLaMnmYfxKLs1+4o4QY6DIU0gFiioZ1FwCcs0oT0CQ5ClEgSJPRFSQa0Z5AoImTyEK FBHK0x+UJyiwkgEV6F+Wp9eaSi7NfuOOEGMgCkZAlQxqLmEtm+dxakae0omjbY29t/cOar5Q ufESFqi5hFw2hDkouTQz4I4QY1CevkDNJcyzIYhTkFyUJyB/SZ4oExGVNBuKOAXJRXkC8pfk KXiflKVcCMRs3ms0R3Jp5sEdIcZAGqQpa5LxPDnXcnknSgZtTMZcWuCOEGOgDdSIDNg1vE7S rVye8VqTLaRmmrlwR4gxEAerUCMZj5O1JpdHhlqgZpMfyhOPvyxPwZtAUQUjoGaTXJQnIH9d nhEvEkUVjICaTXJRnoBQnj88CBRVMAJqNslFeQJCeU6hPM9l7Q+U92wlJBflCQjl6QvPudbE KSDXjPIEhPL0hcdcW9KMINeM8gSE8tymdvJr4E0we7adt2y1SC7N8YO5FQ1iRQq96T0R90jg TLwIJm6vPdvMS7a9SC7NsYO5FQ1iQQhncMZEbBFCb87I1ZvWbeQhWwuSS3PMYG5Fg1wpgjM5 cyK2yqEHlgVzdLtYznYEyaU5XjC3okGuksDZaEzEo7JoAVUwAmo2yUV5AkJ5HiMKVGs7auW6 AtRskovyBITy7IOWRLVz5Tgrp4VsZyC5zh4XKZhb0SCaRdUEeSJeRZTmWWMGuWaUJyCUpy+u yHW2NCPINaM8AaE8z6enfDRz9ex3DZrZNJFcWttQwNyKBtEsqiYWJ2IPGZ2dq0cfWzk721VI Ls3tibkVz+D1eN/+3d6P13j9y+v9uI0T4fYI1/JcMUk0sD4Ro6Biq+WsXC196c1Z2a5Gcmlu V8yt2JvnfRzwS3k+7//et/GXr8ft/e/+HC7PuXKynImniRillbYSnnLtBTWb5FqraW9wR0h3 nu/7XJ7DavQe/icit0mv/9AsqiaeJ2IPeUYJz5tlQg/HS1hILs1tj7kVTyEjT1mRTnbVP7vw ucWn9QnVCuxETES41bwRej1ewkJyadYDcys2MJ8Qsf1YynO5m74uTzY2tvObFpRnNcfkSQjB gvKs5thuOyEEC8qzmow85y8YLV5AIoSgQnlWk5FnYP5WpXiZEIIN5VnDsKL8HZCe7pYnb5Ln /johfwbKU5VEtCufRrJFbZ+T2yXt9/dEVu7j761kL35qbMnw4uCi/1uZL+L7oY7QtjpTc9vv 4qFuW53GnlzCZn3ze5O1UJ6K1H4ayRLVfX4+ZoNQBmY8/vuRTLyrPObl2b8TsWbyhCy5/q5m vggRRuzrKL3yoaQ0l/R9Kf7PH42LpTmw3dcJFfUdxiHl6YBhIKcTy8BE2+JIn2XwxtEtlyer TXkcIxOyph8LSRZIM1/E6/mcrOoH+ZVW+q/X5Pcik0n3BwEZGaNbfc2yUt+Q7R62FVeeHlgI ZLoaM8mBPqeDezmBrWSvmTzJrnlJQiN1E1qZRQ3zLPcqxhrdRaCf/Fayre4BTSjVN/x+uD/l 6YLi4DQyIHO091kGZbJiWaxgPMnzx/pu3iyzEaSG6+8ASf44pAUZ9zpkdfa5GsbC5fkKfS2S r+8z/EH43JvydMGfkqfIMr3R4tjbsUHbj/39WG6TkXlmE4R8FavOgXmNFitW2VZGxutiPJXI 1Dfk+mU4Ng4pTy0Wg9G+PFv7nN19lceSFUNstZP6VBomj0zcTN8t7rL/Vlh1TP4wGB+vxT9i E+b1/WSYjMOxteSiPLUYd4O+NZpft0hTn2XArt/Gjmga5bno/HZmbUQuu7exCDPeaVFrEU/7 Kq07aV+LbNW3of4JlKciIo24qyGDe3u343p293l1UH/+8tvJvX/yPO+Z21dNZEVCfybbOFzf 7t5cjuMqLd5RMprYWxBqRU55AjEOSNlVsDTZVin1efz9bEKt77K3D9TuDCurMVdovz7PchVv 98PSLvuwO5v099PiCnKabXrbXG1ELvPHuIb1vmbGYkXdKE9CCLkAypMQQhqgPAkhpAHKkxBC GqA8CSGkAcqTEEIaoDwJIaQBypMQQhqgPAkhpAHKkxBCGqA8CSGkAcqTEEIaoDwJIaQBypOQ NapO50b+IpQnIStYOt0csQXlSUiByTkkzZwImFiB8iSkwOv1HE6yy5UnyUF5ElLkc4ZyypPk oDwJKUJ5kjKUJyFFKE9ShvIkpAjlScpQnoSsIG9V4qvtJAflSQghDVCehBDSAOVJCCENUJ6E ELKb9/s/Q8uHP15l20AAAAAASUVORK5CYII=</item> <item item-id="132">iVBORw0KGgoAAAANSUhEUgAAAEMAAAAXCAYAAABQ1fKSAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFCSURBVFhH7ZYJDoQgDEU5FwfiPJyG y3iYTtlkEbEKuEx4CYkztYZ+fqsMJitTjIgpRsQUI2KKEbGKoQQDxqIllIvkMQEh8mUWkBzr 4RKvLKkzFgkcC+bShwNakNL/30SB8Ie7K4ZGCbyJQ1K3Filyyr+wSH4gxsY++ncmzq24/Qxo T4IYiGsXYwZ0Srk9/CZTq9Foye0HTQzEDE10BN85kXiGmIeeaKPW3DDMC+vEs8hieHcUXWFi sUh6IBFt3JLbGboYZpOuVXL0kE3sbW1POpSW3M50EWNrbXpBLbmaZ9rkpWL0xM7FAzHMhmtq 39omNt731WoPOtRoPx0qzqiQD8HNUKzQkjuYa2Ig+eux/C1SpiV3JJfFwDKcfXEVPe6smLSE 5yj3GRrEoLFI+YoWoDBQDHv6b2kBCsOd8SWmGCsAP9sIpniGVYh/AAAAAElFTkSuQmCC</item> <item item-id="133">iVBORw0KGgoAAAANSUhEUgAAAE8AAAAXCAYAAABK6RIcAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFnSURBVFhH7ZiBDYQgDEWZi4GYh2lc hmF6pYCCIhY51CgvMTmlIfj4gDkBg9MMeQ0MeQ0MeQ0MeQ3M8iYlQIjoUpNvWbcpWFq+hAEt 8f2lxl+ONHlGg0RBUofmBSsw9/wbTKBCeHblWSaFRRIST1ZqlMSvYrQ8kLeJp71fyXw0fvwd theGPMQvXwobJnF3uVJdjdgo/vMSCC8b7jk198CTh9AhgYmTezNIy9u+UH0qqe/kQNr2wanh kB52matiO2LLC+krHxI2JY3ycBJy4+fUXA1fnl8+5UE3yiscRJyaq3mOPLslFPYvTg0H6ics 0dxVMTHPklcYPKfmatyYDuSR4TAzxcH/Ydli/3sf5Uc1eXp8qrggLU7cOxeSx6FRnruhAa3n h1NzN/fLQ1zS0344NXdzXp5fTiHK21T4qCcb/ir+vo1Exc/jK1vzDImNyTvGaI3K3klHeW7j fvM/Md2T92aGvNMA/AAeLoJ1DBsiVAAAAABJRU5ErkJggg==</item> <item item-id="134">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAYCAYAAABDX1s+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFwSURBVFhH7ZZRssIgDEVZFwtiPayG zbAYHpBECOQpY1qrU85MP6ykhcMNatKGsYUMbCEDW8jAFjKwhQzcWkj0Nhlj6uUC3LuvkOCy CJfAQ0gOpdxUSEzetlRUiiDrZyHBQYT6GNVo5cERPl4ALKDtqJLokzU2+X5BeI8JqTIeCy+T KEUwGcuqCZpoX7eKplYJaxcC2qYT0vqoEZJ3braJFIEkqqaIFz9FW0spFq9Xz1oSIsUow1PT Ucf3Dy0PXIy0pvYIJCF1TpOQcVIYa8k4HkJNFIxd2mhN7RFIm4/3hpaRBsnnxxzz9UVpagvq lhHeRz8c86H6GAVFxvl8jtBuZmn4/ZVCDoGlFM6P8n4mpMDsU0HtuXKvS9BHWwY35+Bzpm4M rpXePQlZZjxzxDPoHzS1J/O+kExJU//TKf9XkdHUnolKSF4KRjlfYt6hN3l7EK9qr0EpZI3o /Ve0wwonC4EUfEs7rPCRhPwSWwgjpT+zCf0k8Zr6kwAAAABJRU5ErkJggg==</item> <item item-id="135">iVBORw0KGgoAAAANSUhEUgAAAEQAAAAYCAYAAABDX1s+AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFQSURBVFhH7ZWNEYMgDEaZi4GYJ9Ow DMPQBEgLUVBaivbKu+OuPyrw+BKVXxQsIYIlRLCECJYQwRIi+HMhzoNWXmnAT5E/FmK9USiD xhLywoFuC7EmWcNhbPxN3jSfFG1l8FzH0hQSZDz/pEVoDy4uRkNFhwOvFV2Xvp+GN5nPOZ+G kFhTnIqI9WBMfcPWpDT1CyH5LDksqpy4SZ7i3dHxrLqQykmXqdmDRHYKCXPl8adnjC+HMxwI kYtKsW4af0MIJauQHOfpONhhHJSM2FiQ1OgfgX4h2xLpEzKnZJAw0fNhnA7APsI34OY3k80X MhLZEgohRGGfL2w2zxklkw5naJ+hdWd7TXvYCOnnDSGyX+32r2u4RghCScxfu+0+NY/PhKSm y7HbRj7FsigPhssAxxXNo8KAhBzjAG5RDmf4spCYgruUwxmmJOSXWEIKvH8AJrUp1yTTDfMA AAAASUVORK5CYII=</item> <item item-id="136">iVBORw0KGgoAAAANSUhEUgAAAEIAAAAYCAYAAABOQSt5AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFOSURBVFhH7ZXtEYMgDIaZi4GYh2lc hmFSCOEavpQ2olfLc8cPq7Hw8AYVLJAlglgiiCWCWCKIJYKoRWwGlFJsGNjo1pPJRZAEw1a+ mf+QkYlwVoPiFgLOglYarKPrh5KJwN0vRYSUaAv3eXBg9fxUdkRsYNIZ0ZWQJrj3TA9JrRxM flpfGH7Nx4notEZ4VtOPzZbaQVqbLaIcR+8q14Pnop8DXSJNER6cLN85fBmPakjQYHQltSfz ljooIlpjk63OjRj1oY2V1J5Eag38T0ki6jiPL0ZSGxC3RmtTmyL8y1L/IhjlfKJ3ipCC/8/O iHTdTES8+bZcTfLS1oj3z/t8si+iH9oY3OixM6KkPPCqA3AHSe1EvhPhCc/yT2DWTgdIamfB RMQIjk8qRbYnjyKYtUHiqPZ6skTMwFl7e+xHmCji04Tdy/RE/ApLBALwAilUK3sF9KgOAAAA AElFTkSuQmCC</item> <item item-id="137">iVBORw0KGgoAAAANSUhEUgAAAEMAAAAYCAYAAAChg0BHAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFbSURBVFhH7ZXhEYMgDEaZi4GYh2lc hmFSExIvaLBoRdse784fSgvk+QUdDBaGDMWQoRgyFEOGYshQbGVMAZxz6gow8dA/kaJfagxc YCmDRcggMoU/FEJ1Sk0TBK65kEG2tAkkRfDOQ0x8//MkiL584STHx1IGpWAtg3/4nIu8+cvS ab1cflaRkaNDPbUn4nRqpMA38/egaBGB6+U7wkxGrWA+X9wJGbiO5z+ZrblDPsN2rndzfSRj hjZsvkGc5KAMkqs3g3Nc1AItWDJoT40ybJvICRk4VyHWONB6YiWdn92ejG1bHJPxcZsY60l9 WxnzhNLPBEfIXuN+GZdQpBNryOubyaANi+mqCOSONsnjl31aGV2jrN12ZlQ5IWN9gK7vH+R+ GTO4jv60Fm35IEpGjmPzxvgsqbdS7kX74JXoH5XflyIZPUgxfkULtNBRxsGkfQHdk/FLDBkL AC+t4ZTBTAyObAAAAABJRU5ErkJggg==</item> <item item-id="138">iVBORw0KGgoAAAANSUhEUgAAAK8AAAAYCAYAAACMXa24AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKnSURBVHhe7ZfrlYUgDISty4Ksh2ps xmLYJEZFeQgoXHDzncOPuxrJjAO4gxaETpHwCt0i4RW6RcIrdIuEV+gWCa/QLafwztOgh8E9 RrXwXcJbfMbvebr0P+mZL5XkEt7rpLOesJmpRiv/j0/4zcE1W14XZfkAG+FdtFIXKys18T9p 1W/oa4zvYVGjvdgWpcdh1KUPD/83L6+oL3wumMfz5jOZPip4VY3QjN9p4SVvr+FFLRW89YQX BUBTzgb4GoYhucH42i1sd+MOMnefC+fHHWHtwx2UOvrOcJ2vJnsny+kHa3LCy588wbne9db5 9mlX8piFzW4v3XlkBEippSYjRpjV0PM0s1bwrekLQy19JiG/4aGsNT28ef3khtfAs9je9tZ+ +zTxceMJumYKw3BECn1Sm0vAROfK/4U+qvP4vYPPSgxvQj/kBy0QzwiEzBlegAJmelzA20t4 eWv2benWt8x6f9QCelKbiyUaYY2uiUvq45Ce5+VefH7vZIQ3WwveFxkqwBdemt/0voC3p/B6 jy8wHv8xtrf6+AZSa507gGOEcbx0DpFrp6upD7nz+yA9vPla8L7n4aX5jcCV8PZ4+4GXOk+r cSUa8NW6guoad5zNZdEThAPGqhSCwddr6ovx+6Dx8F51sDZzrhLe8tvnHxwIe7CYAlt/VO1D NoNpbD3QsYZ/M0JRTV+k3zvtfzZQwAwN1jwFvL3fukxoRRnCrr9DPKmtRbP6MsJbtJ8D32eD xZN+PLVp4QWw2e2IwNXmOvZ8PKmtRZv6MsIL1PAb54gKL/C2t8nhhdLjyHM2jUbDtdM2v3FX 2wKN6aNdhp8Jw37sL/1enx8fwne9zQhvHItS0Mp3aU3fl/yO1VIgvKmrsTda0/clv9O0FNt5 BaE0El6hU7T+A1pbHon4E9p5AAAAAElFTkSuQmCC</item> <item item-id="139">iVBORw0KGgoAAAANSUhEUgAAAK8AAAAYCAYAAACMXa24AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJySURBVHhe7ZfrlYQgDIWty4Ksh2ps xmJYEmBE5CEsMMHJdw4/Zsc1uZfLYxbJMJPC4WWmhcPLTAuHl5kWDi8zLRxeZlou4d23RS5L eKziME8xrXiN3/vm9b/J3XzVEy+8ftFdbtDMNqKV3+MVfpvgui3rRdk/wE54DymEZ+WgJn4T qn6rvtbnPRxivS+2Q8h1WWXvwyN+5zUr6g3XBfd4tj6j6atQU0UEMn6XhRe99cMLWgZ4Gwkv CFBNxRqoXlnmvRCkjDgbttzIgeZ+akF96Fv3EQ3KAH1Xvu/3CfxPTXjNlSdXq6GW4OzjrhQr 8LmclzcAQm1ggseNg66RH2m0odcyuxTqrhk1cJA+Fwp+n9SG1yEW0MZa7rOPhRO7EgKhKGwA 3+uaAu94blIVERPR8ORONFAfAb/RDwxVZCRCHwyvAgMW9LidFi+8mePrQ0UDt3uQrvVoM6jl JhowGpOFO+gzIb3Wpeg3PPdg0Rli4cX6wcXSTsslvNHjSxl//WFc3sD92EqbGdwBAiNNoE8T otY7Xak+gJLfJ23Ci/WDi7KdlnP2E5O6b36xWcLrm2tEbyocauj2lZZbEwPCQszvE3iuMLy+ DqMtXKt5eM0HE4j78MWUN6BUVh5j/8cajMP2gMca/C2ko7c+yn7Dc+U7LwbM0RCv005LfusK UtEArkbHFP8zKajpo+t37NoQp52WceFVgFB7vMBKTd87vwk1fXT9HhJeRUhLeXgx9anjAZpT 3122eYtzXBYJHgg1faT91u9/vCgaa6ncefMcQqhW3gs1fW/y+6mWDuEtXI3TQU3fm/wu09Jt 52WY3nB4mUmR8g9+yV/t0XL16AAAAABJRU5ErkJggg==</item> <item item-id="140">iVBORw0KGgoAAAANSUhEUgAAAKsAAAAzCAYAAADo3fg3AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAPzSURBVHhe7ZyLkawgEEUnLgMyHqMx mQnGbZrPAgKi4vDxnipe7YysPuTQNGjtZwOgEyAr6AbICroBsoJugKygGyAr6IbXyrrOn+3z scq8qiP+sXn7PzIY62y1s/22vjuyfpdtok6alq/64h8hbOj7YVCiWmNUDdJ2hUUawJ02bY6X QmK7Fwfku0zObMLw4PXuRUNA1u27LRNFlGmhn/TndjusFBxFfVnFwDX3oT0gq0ClA9x31GHR 6f905Fm32eSDekCowWE+59Qpz7+s1vVT12qg7ZBVwZ1HEXWK5WxmMXI+6vpRbJ3358ipU5Jg ZI0J2UjbIatGRdf0okpEgpsdRh3vOyLIqePDv8MSRUriJL4gGs5lgxG2ftshq0FOSbEbJbnZ YWJARC6QU6ckMVmFLOEdgfpth6yGh2UVKUYwYkly6pQkJusjkbVQ2yGr4QeyJqbmnDol4evR tZy0R6VC4cvXbztkJTiaiBulS/SG3egwcU4lQ+whxFGdkujr+W2Pu1K/7ZD1FDc7TH4ISpFT pyTO9bKo33bIeooCHUbIaOaeJ6dOSarIStxpu5GVf4GMNsX6ZffYwC92pFBTlL4P+34WnUnH nEWC+k4XdWx3r+0SrFNaWrnxnp1qNNJ2N7Ie5BVP51Ej8F2Wdw5m4um279MAzhm8kSwk3g8n 4HAyWg3Fb9oeyFnVs1kT0sXn0tPQGdT/563pBzCEF1gqHeBgSpE2OmK43hWRtYD2oAAgTVhW gpNc3qh95sUOPQB45XcixUgm6KIgXRmWqKw6uqbzkAvbGXxeewCIc/x2ig9KjtJ04X7jf4PI rYd0oLogq4jIztQvUwIERHDEz2XdT/vnZEUa8F66kxW8l6Cs8nFXTrT6RRqgdw6wdfV2EpE1 hwuy+gus3YILgDC/l5Xwt66efvIBxuC6rGprS6cK+2lc5rzhTX89tVNBsgoyuRlZj3nzix2g LA/KKqMnpnhQiscjKwClgKwVsR9w6NSdtw3xck8QyFoJFtVIKVImsatykDrxovbM7ota5OrC 17MWt/w5p04bQNYqSEHcjZB1W+Y5LuPNt9zsXZcW/nzRFSBrDSIR0o22Ia7vaxsRSXp3kEhy 6tQGstYg+NROTb1JS27KKq4bOX9OndpA1ioEpGOBH3h/mJARe2rqzxddAbJWwpl2TVRdKG/V spCYuwh3U1aR86Yi60Gd2kDWirAgvGgSoihJkwupAmkAnTsUvXPq1AaydsVNWeUHHgx+8Myp UxvI2hUFZCXk+8rueXLq1Aay9oKannXasI96QmQ65iyQ1He6qGMspv29XYJ12pAWsg7GyG+5 QdZhOHhUOwCQFXQDZAWdsG1/74hGwCAJw/MAAAAASUVORK5CYII=</item> <item item-id="141">iVBORw0KGgoAAAANSUhEUgAAAJQAAAAeCAYAAADKFzdqAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAMwSURBVHhe7ZhrsoMgDIVdlwtyPazG zbgYLnmoPAJEpZ06N9+MP6wthORwgp28YQzEBGUMxQRlDMUEZQzFBGVUWP0yTX6Ca3Z+4097 mKAMgc27efLLSnfrEkS133QwQRkl65K5ErjV7J3CpkxQRsHm5kxQqWO1MEEZJeBQ0xJ8accE ZTxhc34Oh/H56HHW8oynoEvxW96FNz0TlNEF3vKUL3mnoPDVMFZkNEL6LO6t7wQPnaq10NlB 3p3R/zThkhKe5K1VkeKtahSt+OM81ARDvz9bX5/UoYreeQLJuTLwb7KLQLMpWn/swbNzDCpM OiaKKfod3otV43mGC6oVfyA5eNN3j/COdqc7N8WULQ8HywYCobV22CvgBF9cR/kKHdg2QWBx zoSdXXGhdVm8k+YYhBg/x5ekYpBLCmeo3Cbh/rpSfw1qPxpnSpELklFsuDyHNE7h8KGI8LP2 HCBWIW6YUyEAeUNAJxJM44Yj5ciHchycFRwWXW11t4PghNfseDjkTrNz5FJ46cTVFVStsJxD csQwf/Gd8BmLsC/aTFS1OQXEsbEL5eunHCX74gayoAJ0Bgi7qpZ4DAoKc11Q8XkMF9xZBblL 4+plgWOFItA3d0H3RdUqNj474hDGOnJUPoNWt3/WFxTAorogJuBnBBUiwR3WPohDEBcFhePG i8l23yeQEsjF7iVQU+xdWGmuQLQwJxUqmT/kwEXz6gQFhLEuiAlQC4rr/TlBcSLaE9wQFCwm WSC5xdOFNHmwI3XFpjXEgopdGCDHp3FajluPB+INaxjhUCierG7SZzf4uqBwgcmgfUE9bnnS WpQJ1LoHxHiOL+WOBcF3Mf05st9eEJU8dplz7Tp7vEJQI8B5o6KgSBWTxs5SpSgwrSn5XeHM J+1iVoSoFFU1/iQeTa11iIKi5IdA9qs603VBlYn9jqCAxOmSCQUBcJLPPETrxBYaPRMLy2M2 v0OMcoeURvxMXOdR+W84lIYbgsJWk9l3pRUY7+P7ggqAU8R/G7TfJI03cV9Q6CynpZaWyZbb awff6HXG13joUH02t/+ZaPwHPigociFrZ/+LjzuU8b8wQRkD8f4PdXvB8ZjF4xsAAAAASUVO RK5CYII=</item> <item item-id="142">iVBORw0KGgoAAAANSUhEUgAAAFYAAAAYCAYAAABgBArrAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAGXSURBVGhD7ZaNzYQgDECdi4GYh2lY hmH4SgFTKnpVfj5zx0tITq+iPNrq5hdDWGIHscQOYokdxBI7iCV2EEvsR5w3avObMvBLzhJ7 ifV6A6lhLLH9cUa1i7U67RAMbeO5JxN/E81iUeo+QegtyhsXe4wytWlT/7lVKqS89uv4PJKY eTSKjYvJWRqx3mjt1RYEp1OEsBFZON68vPgS3EQSb/XxHpKYM2jlVceNZ20T60xVYJnFBIzX oD4TNoYeX1NIs5ptaEQSM4MOYrmYVH71VbObxVjp4ndp4b4nF0liZtChFbCMRdn1/nos/Qdi oYeriweWxJyB1/Lyp+PGRjWKJRmC5Gw10GfzpCA//d9N7MUiJTEziM/RIDZQ7HSeLJQ9niMZ 3bMVwNy1qpDEjIV9nZy8xGscxIrBxZKezI8/sEuLB/jgfFMkMW/luVggLJx+bt3JqEIagK2F ZYQk5q00iYWlxj4cyqSaSqmUipbByiv9hxLpeTqqMe8W3ChWhjNG3CK+hcFiY0bPf+n8P1My 9hdZYofg/R/YpVJYjFLxVAAAAABJRU5ErkJggg==</item> <item item-id="143">iVBORw0KGgoAAAANSUhEUgAAAKsAAAAeCAYAAABT7+7fAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAANCSURBVHhe7ZiLsYQgDACty4Ksh2ps xmI4EoLyCRD11HMuO+PM88kJJEtQB6soL0FlVV6Dyqq8BpVVeQ0qq3Idi7HjMFqz0PnKYs04 2GFwx2jcmQyVVbmGefIyMrLO02BH+udiRjtMM/7dQ2VVLmS2Uy4rVtvJXQlAm/i8jsqqXAgj K1TcZOv3jwSS4qqyKhdSylpu+yqr8hOorMoDwEuRf2Fijqpp+higvAZG1vwFq3jhqqOyNoFg bxVEsvoDuN3h7/JE0DdG9vvi8f7ktPqPx/2N/hlZHfmnq/B3D5W1CiR1Ey0ksZ/AIBxXLSIZ C1ngWt6frOLIafXvwG+joU/f9rCwWDGpr+I+tGDg2o4OVNYas8kqAgW4GVySoZMAFDGXZVkY ecuq9A3Y/ml+ydCL58tnKWSNH6TDwPnJ/R8Ym4aIPnb9aiiKJ1Smal9pFV6B3wjyxC8WqITc 8+U1C+YIiawY7HUSsNJgoH7FVZ8rdk8o2orgwP6ibQHPJW3uhqk8CX7MozHR2Hlxu7KKpMuE FYoKsP0njwABP6fG+ryVSFZuYLM101SXEScISdm/+vIqNU/lPSRtavgq1zj2ZqAnA8UC2vg7 h8VVCtuSFa+t4+Rl3yBhd4gKvF/WSoVMqy0HTOikrC5QXEAkbe6iu1C4ZJPA+bi7ldURpO2/ Kbv47xAVEMuKTvysrPnKourQHO1JWaHfyv0lbe4Aktvtnks2xuaYrCH2bVnh/q5PiM8OYdn+ Mf9ZHrn/PUj2GMANVhKwg7K6Z+JWkCVtauBv3dirh1R+J2EyfxcTw/6UEbOSbJmsfg71YZKo dIZ9CePE918+k0vHeRflC9Y62lBVXXLc4QfsAlRE76SsDXEkbS6FtvH0yKvnBiY3up7Gc8PP qyNBU75M1IBQ2Gr/MN/1/8zie5hEVgAnEhITBr4mjZPyhKwQCaw+fPWWtLkKLx7FIT7W7NFi zpKexK/ItBdgu18Ut3xhCKTbT6N/Ip73L4kKFLLu56Ss/oQNjqSN8j/8hqwOv6LT+0jaKP/D OVlpe65vG7TtJFtathXRtWT7zA+2jUr7b3yhsvZZTPhQrijHuVhWybdCRZFxS2VVlG+gsiov wdoPxZIO3cGBXL8AAAAASUVORK5CYII=</item> <item item-id="144">iVBORw0KGgoAAAANSUhEUgAAAHkAAAAYCAYAAADeUlK2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJ+SURBVGhD7ZjRkcQgCIZTlwWlnlST ZlKMp4hZQFTMnXMzG/8ZHzYiIh+SzG5+6eu1IL9AC/ILtCC/QAvyC7Qgv0Al5HP327aRsfsT p96m63B3HvaBJHzW8dy1/Z1+x7nafuf+mXfHhU/74pARMN0gOX4haMhFPncC0AedQSn5avqL vz9rUjFwH8DhXpDWW0EzyOBcnuQ6vNucHyicL9DlDyegRkjuCDM1IWC1Ejr+rkv4jb5IzoGB KBxWNG0xyLxaUN3DfaG0wu4Ue7PjjfqLc5SDBhTWW7pLFTJWZRxVwKk62zZSxO+9Tvqx2EyW ektSXHpS05w7DhI7WT/iL8KTZ4T1WpH8CjJRpeKibX4nqG2+IbnPuev+ezY1wdo72croxToK GexDPgKcNJ2LEn0Y/dEPM26fbFmBa+Ar6kMOgs3pBgBeBiEPURfbJwSrJc5iM00alNbN0ezh GdoP+suw2YcV2n+KIA5bzk2QiyDjb9ZSlA+Lhu59YuCVRRabaYKEau2xcnM0iOHXfVNH/WE+ 61/PvXmuRze5bM8PIDtXvnuILDY1wdqi6snoBlqep+hmTEorZxBH/aUz1MLsrZUqIYdgtTZR BMhP9AxyI+EWm6li3UqBKAQ5IbcZ4qcLRvzFnKsQU56tbTpLvckp4OgsjSKYv2zXwb/Wdiw2 s0XzwM+GyRYgIGa01wqz6g/aPVkrAWMO4tyTPNjeyVKwKakm+bsjtg8eUG5rsVmy6RnkoGib qypW6EiFyX1ShfOPEIvNkk0EcmpBdlj5/VArjPTe4a0Hn+WBcwCUPqdDtVmwR8Ru8gxdR/6D YOm/NBHyaGdYmqXpN3np/7Ugf728/wE/T+ncb9P/4wAAAABJRU5ErkJggg==</item> <item item-id="145">iVBORw0KGgoAAAANSUhEUgAAAIIAAAAYCAYAAAA2/iXYAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJmSURBVGhD7ZhhkoUgCMc7lwfqPJ6m y3QYN4FeoJi41fR2lt+MH14iKvyhdqfkOBsuBAdwITiAC8EBXAgO4EJwgFoIy5ymaWJjTgtN OTVrDJ9YzQOBOtbJ+J77W9JMc639lvmYD3Glp32kEEgEfAN07GJQgXjtscEk9cWwJ1OJ6am/ /PtYg4KRPiBXnwW43ioGIQRwXt5kjSlMIQ2I65+wphiKxOdEhrjNtCARqGrp+FvXwm/2xfIC eSrEJYR1jhCCVBTRvdw/RSuQTtGcdtdRf3mO50pLOqy3dKmmEEi5eZyJoHPxGub34xsr4fht sfkC1GrDs+uBx7kQI7sfWz/iL8e9jAOs14R0SQiMVrJh43yZESEg5T7LXPuw2LTAyjsZlsj0 GBUCxSsnEKd3cZMPoz/+MSnt0VYUiiaOBn0hbMDmaiXmzS8KYTusFjiLzVOYhKQl7qwCNXt4 RvaD/nZBiI9BshdnrcSlYxKCekjgohDywdWo2WxeBYJe3F17tqPGkFX8qD/qKO2/Cnrzkvc6 Qgj1e45hsWkBa6vKYOMWYWGguat2nDIs6Tsi0aP+8J6tq/TWltRC2A6rtRt9w4tCOEmKxeZ1 cpV/gq0kugDb+dEV4I58wYi/nBc10cW3hxG1I+CBszMc7ctdEEJ2SiLT2pfF5hvgsZJxooQU yYJ7kb0m8KY/eLWwtaUIKE557jexsn0jNLkoBPxRX3rDYuPcx/tC2MAqkH4sNs59MCGMfWXy VqRXK77jZAujZ/ugOUg6f86HauOCuBvREZ5gjfs/UJxv5kEhDHYY51Ue7wjO38CF4Gyk9AOx UkPX0ZtoSAAAAABJRU5ErkJggg==</item> <item item-id="146">iVBORw0KGgoAAAANSUhEUgAAAFAAAAAVCAYAAADRhGlyAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFISURBVFhH7ZdbFoUgCEUdlwNqPI6m yTQYbj6oNDQMu/5w1vIjJYMNPjKgEkkBCqUAhVKAQilAoQqAKyzGwLKmx4nanAWz++Kb1J91 ifMczTrY4kDWb13o7bK/ANzA2TgwHWBwdNnTGR7GJHVzYG/zxJjJuZn2eQWSL/1bRFAeKFbB WxGx+Uqrxsq0HwAQKxcrRqjgg4W0mqKovl5lsTUqD8W0bwLM9oLm1wYqW76oAcv4iI0Bz4tp /wCwP+u3DbhsT55/DBD9wAOjKqZ9BeDE05gCWCT2lS5zYJKbEJn2JECkPgVg8OHrPZABkWlf XcLxHjZhCRMbdvDlo1PY+0RCZNozDpFBp2uPsmvLl/fABkSm/QkwvRCqJFXe9W+gDjJWzGjQ z38i6bsH6PL5FAZ9tCI55ZjrsQ/9qtdSgEIpQKEUoFAKUCSAH8bQKNE9y2uwAAAAAElFTkSu QmCC</item> <item item-id="147">iVBORw0KGgoAAAANSUhEUgAAALYAAAAYCAYAAABX5geaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAK+SURBVHhe7ZgBkqwgDEQ9lwfyPJzG y3gYfhJAEQMDKMry86qmalccSXcacHfSgjAgEmxhSCTYwpBIsIUhkWALQyLBFoZkD/a6THqa vM+y2pFwbNHHiPAkQ/ZgXby636v9vGNvSs8w+aw2e+EAjeWuCw8zUg9sqL31aRdo+3BfX0Wo mFmf/EOz/eqEtnTbg02rOT+Um5pPpw5BCzfQ1gDmHRuLh1U1K/jJ/d6+kDi2nodXuX+0O++p EbvuL+mtBw6sI78P5HEYbFy0L3jM//Foj0OqCQrhjz8XOL8BOax6CY6ntyHDL6ExerrRmtUD oHoHrNGE36kJtvEhPdezHvPBBkzzZzCNF4Ljzmz2yGE5iq9qNkB1OZO4z88Hc0asWi0QnkhA PtWa6AHcYHWXB7te080dO7IQn/Y4GmxTQGQHozFfIIYlV7ApprbZt0kYy+4UX2pN9WAH6ykM doEm8oUWT+STEMcGG7i88jXwOB5senikKZf3pJIG+veaOcigouPnBhcTEVMT26SWWm1w4+FI 9GAH7ykMdrUmvC83cDhNwlO/By08pjGWuKnXo6K2ENRU1pQ7O4iBCUJiZ/xSa6oHB+XBrteE 990Pdrhjt/D4w2CXfOdZzoabOqZFwXu2Mxu02/FvtQ4Q7HDDsJuIP1cLj9lg00QweXQXfODo MM/OMcndn29oDqed32mhIxKveUF5VevBzx7slAe7XhPeV75jh1ou8zTwOLFjJwjfU9n31hhH 0bGjqiu611oR7Fua8snW3MDjumAD+BD/3zPpv9x9/NWYc9R+T99aK4IN1GvKJzvYwNMeVwfb PTB+TJpJzkeMFYvXqRneM4L7+qJTrbSzuTm4RcPXZfil6S7m+aUBjddT6LEdb8amFJT0f9Cr 1pF6kKulYbBLV+xfpletI/WgTEvzHVsQvkCCLQyI1v8AqVrqwoLa8/sAAAAASUVORK5C YII=</item> <item item-id="148">iVBORw0KGgoAAAANSUhEUgAAALYAAAAYCAYAAABX5geaAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKYSURBVHhe7ZiBkYQgDEWty4Koh2ps xmI4CLAiBheBIMvlzThzu66S/PxEuUUxzISwsZkpYWMzU8LGZqaEjc1MCRubmZKPsTexqGUJ DrG5M/E5oY4zTEumrMEmgrj7xX6e2LtUq158lbv74sAIi33PNGamGjhTB/3pGpTe3NdXEQhm VSf9jNhhdAwtw9ZgV3LNN+Uu19NTB4DGjXIjAHnHNsHrrlql/st/pg8kjYuncZeHj3avPRTi k/ebjFYDj4kjvw6gcWxs07QdNMY3j+5xCDHpQJKPv6Lu25SIHk+9AcEvprFmGiZX0hoYXPPo NfKNVmpsq8PXtRpqjBtbY4u/6oUSicDj0gT7JJBDzFJjh5MWPb7eGBNiU1Jo86RyeTPX5jWw mHv7ZkFfGVBKjR2QMm9jjZPG9hPjfrNiTPJUVBtMabGrSQhrTXQ3uV7IlaoGcN/QoOYeuGFr BglqbE36la+dxmljwyLfilIbiF0DBMp+HFZyKarBdf5tsgS5OuOm1yWqgZmOJ71zG9D8rnJi G2A6Y/dpqDGcQyESNRJxE8+ur5kgFiRmqslYmatds30Nrq8efY1NObG9xi8aO1fM9pwFt3Es Qur3bC+2zusS2Bu50tSgq7HjgeGGCL5WO41RY0PievHvU7A8EHvvHJH87/MFzeE0+f30uN3A 9Mj1gLQGnV9F4lzS67TT+GZi51DTYUfiv8GouRbEFe8z0H1HPc9zbqfxq8a219918EiMmmtJ XPoqbYLw3333+4syehs71Ljc2H5H745r/HaReJMAycI1JgEbFHxGNxODMGquhXFZgniuFzbA 3j+7YVpr7M6TsUupQ/ofjJrrTDXIzYXQ2A879qcZNdeZavAsF/KJzTBvwMZmJkSpP/PnLDWi sgPlAAAAAElFTkSuQmCC</item> <item item-id="149">iVBORw0KGgoAAAANSUhEUgAAALAAAAAeCAYAAACMoZTAAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAOKSURBVHhe7ZkLkoMgDEA9lwfyPJzG y/QwLIGgfAIJamvd5s04s61UQngE2p2sojwYFVh5NCqw8mhUYOXRqMDKd/Eydp4mO02zNS98 r4MKrHwNLzOLxY2owMp3sC5O3sWu+FKKCqx8AS9r5skuC0gMxwf3t9BkFVi5H3/uXZy0wdpw lJBVYxVYuR84PszG1eHIahdhFVaBlfupBMYjhQqsPAI8Quy+gsCDP6OtSzg8b1eif35v/Jvi r5LmbR74bSicATu5rioWELbd2F9dvbj7VxAqZx1bYB9X2T9+Lr5Jjo8mr8D4IzKVbJiMkUn4 dby82ywFefj8Rcl6RQLbVFvu/pkoyi4Jd/8KkgVCyZf9TBba5v0nnx8okvURwndUlG8Q+9rR /m+qLdGRTSAFTiCT53VZrAEBU0lWU2y3ZUVj7l+IXxyVwKG/rLuBKtuDOAPj4LaHw+ux/478 PJSsuLu1nAnHDabyuOfC52lJcvIdoKZ9HxYSEQfELxCOjM2PnSiKg/91o6C/xKXJdklrbn3D QaTbhLv8QHHBbK8lbQ5wUcJEeIGpCWsJHMY8G5OMvZTItcEP8wITFS+Du19IDLEL807GRi1o 30cvBhm0wA6/Ql3lrbbCiA8KEj0uRbn616V+hqSNmMFYfd+bSMTFZh0XYTqRlNQRjA8kCU+O C3bPPRwd4t+swJxwIiFR4gF5ga8R2A8SktqdcQjipMBucNQgJG3GOBbrYTB/ufy9YlDcQ6n9 uN2zTHKTE5hb7PJi4HI2IC8gFhjzc3Ze2wL7Cec6OCkwDKLRgaTNGB8WOCNU1GYxoCY4yX9v RyhTAwL10sXd34H+XUyQ/7MV2Mta5J567wD3CQzHk24V4duMIY+1J4y/ZAZscBUzxFbkujPB zee5hZAtEveMtHKz9zdQXnzlYxHOAx1bfebmcyLjXoE7MkjajHEs1nPUZ9kWfkKTdn78jXGT k49HjvxK+uXubxTyRoQSh3kj2kH/2/sSt2SQAodkJgNt9nRCYHimrzL01ipuk8aZXlXMHxQY Y4Y46GMDil1MdDaezuyWAlfzVTyDu38NQcr9+XWu0ziu6rpTgSWcFDi8IAckaTPGBwVWPsb9 AjvCysyfI2kzhgr8HzkucLJN0tURt5Rsm8T34oX3sq2zvMg2gyKysSpP5WQF5nmZ+OO8olzP GwVmfvtUlAt4ewVWlHeiAisPxto/cdDwJTzcls8AAAAASUVORK5CYII=</item> <item item-id="150">iVBORw0KGgoAAAANSUhEUgAAAFUAAAAXCAYAAAB6ZQM9AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFmSURBVFhH7ZiBsYMgDECdi4GYh2lc xmHyQwALCjR+grWFd8ddlcjJI4GzC0zEmVI7MKV2YErtwJTagV3qqhdYlqjp1fcc+zS8en6d DYzCOSuDv/ikmboZUChOmfMQVmzu/u+ygg6J1CTVsmocSEHiz8qOMnckNqMEpJ5S3l4fJA+E kFTEbwOUnJi5xbKnuCvCo5Lay8ov4n7NibkPOakIHU6Yoap0MNE2YSd6PYtp7OQgPI/BiSmR HqyZdmErE5UasrV+ONmsapSKi5ObIyfmDmSl+jKsT6ZRauUA5MTcwXdJtVtL5WU5MSXo2VDq uXZhkb5PamWCnJg7cO8hIJVWJ6xqdVIC5Y/jlz423sX0xSXVywN/npVM5dAo1V3QSx/XjRPz VD4vFXGVkY7DiXkq/5fqyzKUxzmLfPkk+9GhpHwfCYzvxy0b82y5jZn6ns0YVDkWHaW6T8ux /tlydM/UEZlSxQH4A/mMstkCSVCkAAAAAElFTkSuQmCC</item> <item item-id="151" content-encoding="gzip">H4sIAAAAAAAA/2xTTXMSQRDt2W8WCBHEEBJAEwUWFCFVlh7HVEpzSBkrN/UQN7AmaEVws1oc +SdePPgDLO+Wf8vUpqenwRwyVG+9frx+3TM7mwMAgRFi+IRNfHrRl6PodDz5bIFauxiZ0WSo OZO4l0p2Pjw8+RgNE2LgPdUb+HQuzqa7k5mm32K4SBwthe8wXmP83AA4wO6Hm/9ztdYcPZQB hkmguGz+PEni8cnXJNLKfYwCXF+W3N+6nhtgk4WVxFFUIUpi5KcEHSnX/wDMbVfK7wik4zFw Mww8n0EmK6X9D4Gfk9LArkkWwBTGoA95TfxaErDCDJ6pIQQSBe0yz6xKqUaWauxbGs/1FopS +n8x80pSWpcoKd7WLqOScnkDZRaU7vAAZXZf0/kPyj+hVUU7zIvr7FDRDlV2qGywQ5UcBrDJ DtWFA0CNJ3brfAC1BoP6Xa3+1uD+93T+e5HDFtfWt3m36p3c593q9/OAsxplTS5wWtyj2WbQ CrhZG6+RcAa9J0/7z6DDHduLjl02aD3kjl10fcQ9utSjx4fSfMyH0lPFM+jz3nuLvQ/oEhdG O8encTg9O/4wic/DxCaTbfUtEL0XJqG+Y+3lXcNl8hdVVteesMr8cDa+eEE++vvpYLwSrNUr xR+Izs3swQ3swtxN4nAY7exRfwhY2BCrIAKRKiREgG3ThjAUSJExRWClirFQAykCWwTGXOJf DokRuKRB4CmNEmdQQ+U+aqg8ixoqz6GGyvNKo6pWSIOgoDRKzMNfAQAA//8DALq9G8J1BAAA</item> <item item-id="152">iVBORw0KGgoAAAANSUhEUgAAAPwAAACnCAYAAAA14jFTAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAApuSURBVHhe7d0NdqIwFEBh1+WCXI+r cTNdjMNDwoTw8wKEkJfcr4czbae2CtwSwMrjC6AZBA80hOCBhhA80BCCBxpC8EBDCB5oCMED DSH4wN/7+X28PsNHg7/39/l4fB+P5/f9N3wOMIjgPX3sEvYk+M/35ULvw391nwFsIvjAbAv/ eXkf/33fz8c3HAAAVhB8IAw+/PjzenyfjOthFMEHloL3Ayd4WEbwAYJHzQg+EAbPPjxqYiP4 /uj4zlNiq7f5RdsfjX++u4+mZsGHR+kXbgNYUX7wsoXdew584zb+kHxxa97frpv8z3MeHpUw MqT3trLRFm4zO48uX8N5dbSjreBlCz4ZkrNPjrY0Ffx8//z64LsdAd54O/2WSiXBDwfiJuUW Erw7JsDEdHJKgSF9huCxrVudh/ewhuBVC7cJD9rNDuKlR/A6gtcRvGr5NuFpuaufNUfwOoLX tRP8eA78N0UNvzdvM+zvy/9dOZYfyM/Btm5JDO9hTar1iDl9MYLXEbyO4I0geB3B6wjeCILX EbyO4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbyO4I0geB3B 6wjeCILXEbyO4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbyO 4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbyO4I0geB3B6wjeCILXEbwuW/By4Qb5Yf00 XqZJLvIQfg5LCF7XrUXDe1iTLfieXJMtvCTT3/v7uviqLTUgeB3B6/IG3+m39OOVWv6+7xdb 9hgEryN4XfbgJxde7Lb4Ga7SVAWC1xG8Ln/wnd+FGD/LW/fxem4RF330f3lUjuB1BK+7JXgX 9Xzr7l2pVY3ZHfAjePwQvO6e4GXf/bmwBZeDev7+/VO5yitbeHgIXldU8HKddf/Sy/412Bd5 wfe3lS1+paf3CF5H8LrigvcD3xP89/PW9/kNI3gdwevyBz/sv/db427yh+zHgu9u0w39/ZFB jQheR/C6/MFvObQP//y+Xt1wvvJn6hG8juB1ZQXfH3n3jtJrEXtDenU0UIjxWEM37RmUyHKK nVp1a/BLC2JpullhwXfGIX+4jz+chgtGAH088rn+abvyccFH7f1fYt4vqxixC0q+bGlqQbf0 h/cutDRz3WRAecErPm+7Q/fdxyg8qRZUzZIH78fsT4YZCj5in75w/XDeewB3B++vwxd8++xO Bx/OkBpmSsDcFt604K8FS9rC++u4m6w5FLz1B70TwWcmkctM/00LzzZccXXwIflx/mRBdPAW H1wiBH+XySlIXe7gfVba2AzefxClP5ALEfzAP10WfU6/P9K+tJX2ziAsfa9gaB/jzuCdAu7C psXg5U67CcnWI+Nz8/N97T0aOJ4GnAfv75tPDtS52xx4klAJwZduErzMLzdhRPDi8PPwvScK ObPz6/I1558bUHLwxXTl7kjB8+pu1wfvL4ScUzRl+L1pIXjZik++T5rTiRa28Idmfwq3/WB7 2MJ7fkfQ44+cLwUfnmtPGbyZN68/77PJ3/wfxFvkm8yvBNJ8lwLMg3WGkcDk//IGb43XY1or 31hWaGwj+JD/fHcVQ/oYC20e477RyjcjeB3BhyT46DoXgg8P2s0O4h1jOXhno9Vt7obKjQle R/CBz+vcPrwIT8vFPn12Sw3Bi90PIyJ0h+B1BN9vgbtVZZiiN+6btxv29+X/zo7lB/K9miKP d+dj7ub28B7WpFqPmNMXqz348eG50A88XoLXEbwRLQTfP8QTj5PgddmCn/yV2HgUW/aBw89h SdXBy2Pr14Px3UO67zC8hzXZgu8t/dFIty/M1WN1VQa/UvjCp6IQvC5v8J1+Sz8eyPrj6rGR qgs+ouqIL5kgeF324CfnpbstfqKD2NWrJnhXceTj2fGlBB8hf/Cd33nqlavHdtaf3hpI9KQW C6oIfk+9gZibErzuluDdOeylpvvYu//Tg3cH/Ai+eHLf3XSC9i0IXndP8LLvvnT12AFb+Dmz wWuVJkTwumqCH0cGlZ7eMxe8Cz3j/SZ4XT1beK4eW47MoTsEr8sf/LD/3m+Nu2l1Pz46eK4e Wwy5j27KrP+xBK/KH3yEvcFz9dgC3BS643586bPpbhUE/xvS+3+SWqOigy+kNNnCF3JXilVe 8O6lnGWaRD+chhs/F/wJ6ni7Oo/ap1pQScl9clMBuqX/+7ecu1ScVOtRttlr+eqxZxQXfIFV ueCFu3ulzba7GQr+t0WPGenXqKjgCy3JD94p9K7extwWvlVFBO/qKbSgpeBFwXc5O4I34vbg DVSzFrwwcPezIHgjbg3eSC1bweOH4I24LXgjsQuC1xG8EdmDNxS6Q/A6gjcia/AGYxdHgjf6 UA+7PHg3Q89MW/Z+vVXZgjc8E49u4Wteb0Js4Y24PHi31hte888M6Y0/9GgEb8SlwVeytp/d h69kNmwieCMuC76itTzVQbuKZskMwRtxSfCVrdmpgheVzZoRwRuRPPgK1+iUwYsKZ1Gy9aiy 2VKeZMG7tbi2NbmTOnhR26wieCOSLKja1t7AFcHXhuCNOL2gKo9dELyO4I04taAaiF0QvI7g jTi8oBqJXeQK3vIsJXgjdi8oy2vlQTm38FZnL8EbsWtBWV0bT8o9pLc4mwneiOgFZXEtTOSO fXg3u63McoI3ImpBWVrzLnDnQTsrs57gjVAXlJU17kJ3Bi8sLAKCN2JzQVlY0zK4O3hR+qIg eCMWF1Tpa1dmJQQvSl4sBG/EbEGVvFbdpJTgS0bwRfCuk7dyFdzJgiL2RQSvI/gC+Fe+Xbty 7rigiH0VwesI/m7eJa9/5Cq58yvg9guK2DeVHnwJi47g7yaXuZ4M41cumknsKrbwOoK/2XwI vxy8LCgmphRTCgR/UGzwQEkI/qjYIT1QEII/KjxoNzuIB5SH4E8IT8u594FSEfwp3hNvGMvD AILPwvvFsPKMPHT63aLnl4HSCjlu5I7aH9zAEHwGMc/Ia964MhP8Ivll6Nab/hfj/3VqD4K/ 2uxg3vIz8iBk3hD8kr/PZzIy7DccB0aLBH81Tt/tQPDRZutVHIK/GE/Q2YPgYx09K0TwFyP4 PQg+TjefDh78JfirMaTfgeBjfF7HjwER/NXCg3azg3j4j+A1MmI8s7Eg+Ax4Rl4sgt/UjRYn 60738d74CT4L74k3jOWXDeeW3RNLmE1T/bEgb/78pv0jRYIHGkLwQEMIHmgIwQMNIXigIQQP NITggYYQPNAQggcaQvBAQwgeaAjBAw0heKAhBA80hOCBhhA8MvNeG6B/sQt50Qv3/vAluAzB 4xbyKkDutf4+Ly92XgLsUgSPm/zf0v9/dRu3tSf4qxA87jO8rNXk5azYwl+K4HGTbmsuQ3p5 GW8/cC/48XXcDr4GO+YIHjeQofv/yP39+ckW/vPmQF5iBI/Mgn33YVg/bsn7j5/fp3wNL12b HMGjLEPwr9exq6NiG8GjLN6Q3r+AB9IgeBQkuGBHf0BPPvYO6uEUggcaQvBAQwgeaAjBA834 fv8ByE4t/QJoKV4AAAAASUVORK5CYII=</item> <item item-id="153" content-encoding="gzip">H4sIAAAAAAAA/+xWz2sTURCeTSdJW1LaVKkag66259omDVbdtqlrKEWkxRSvauOiKZtG60IV vHhX8C8QvdizHv0LFIRWvHi0IKgHKRTxZtZv3j7TbSgaf1yk+cK8N5n5vjf7Ni/DSxCRAbsM 61R+BCN7S46znwR5WHulNDO/4JQ8FaFLMMsIUm2K32FfKBZuTHtOxVCMBCwWDnSpkRU5AbJd rcxXJR2s2AOLI7wV6ZYaeKAi5rdpohdYJwvf94UN6ozr2G7ZWfSUBtm43okeoV1bTb57/DS1 Tg0Yx1PX/A6KhWJGXR08TkR/r/lSMYDfwn+Fb7BayFrYXThPVXw8MqlAi5iX6HZjK/gp+iha /89LL3geX5jNWLHCwwN3P29s0scw9/rU8YGuD2+MNvh53UhsVJe6jhpv/lZtQS9FjPB+mtWd MH7NaRZ/Uv9f4m/qy2uQPi6/CVPQy1vYPZBrx5FjRIVocB46t52Muh/Tx2Qalgxivdq9Upaz 0621rBXlLbGkbsG++NuP54OgwisZzhXN4jXHdc0z7lU5z3PvV5afra8sf+obuSNXja/NaneA JcPcvZfDpbXkk/v0aGA1+vrHVaa9YaM7bZ6MiN69vIW9Osgn2WaLczzGp/ks9+MWNov+dZHS vIePcr+KHOQhHuZxzmMeAk+8MbBzbFJe50Rt0gQ8k6Z4lCf5lFpVeBZiUkOUI+BbalWTU5xF x06pdXOc4X2YJS/6tOIfRm6UJxCbVJoMDeJuOAjVIVTtQY2sYqqNfgcAAP//AwD83Xtt4QoA AA==</item> <item item-id="154">iVBORw0KGgoAAAANSUhEUgAAAgAAAAA1CAYAAAA3UFPNAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAvQSURBVHhe7Z1NduI6EIVZVQZZDSO2 kmn2kXmWkQ30Jt4OeL4SRj+uUkkGJQXce8493QhbVn0q/eA29OFMURRFUdTLydUG4HA40DRN 0zRdeYbcbQD++++/m32vep7V5GObjGyTkW0ysk1GtsFohrgBeEGTj20ysk1GtsnINhnZBqMZ 4gbgBU0+tsnINhnZJiPbZGQbjGaIG4CJ/jpm/4Zz/BKP+Qt74RP9dT4ejucv8b2/M3PItkdG xy/5mL+yF0arwert40d876/sgxHmoWysHd7OHz/ScX9jtGmGuAGY5Z+P89vbx/knvP45f7z5 SSgXfAKTdbBxAyD55+MtW/QjL08LnIs8+jqeD9dx5m8z6WOsXYw5aWkPNwCSfX4QWQ1GM8QN wCxjYso+sWHn7WXydjUp8Q5At7Eh8DR5+2Pka6MN+2EU2RyPvnIIdsGo+MDmz2A0Q9wATHI9 WXuavP1MSjA3AH3mHQDT4RMu7wCIvnwg8baJhF0wutwdQVtgj4xmiBuASeYGoNfcAPQY+ZNu dfuwJ0aBz9IePgMgOY0xbgAUF/+U5HOzPUPcAEwyNwC95gbAssfFH/aVRzDvkkjO5x5uAPrs jRMYzRA3ALPMZwA6zQ1Ay14Xf9hXHkV7nLil8t9z3BShHbnJqG1uAP5A90oEFwnFbwF0mhsA 1dhEOmSz2gOjsEHiNyW67W1hg/3lEeYkfg3w13WvRPAy6Lx+h9sLn2huADQX+XMxP7ltnXPi 4tY2NwC6vefRDHED8IImH9tkZJuMbJORbTKyDUYzdK31+5R2P8Gn78s79Xunc3rnvkL9UvCj vlc9z2rysU1GtsnINhnZJiPbYDRDZa3/Ps/vy4XeP/9dCpKwCZDK76l7JQITqm3ysU1GtsnI NhnZJiPbYDRD21q/T8vF3s/FWo+NQXZHYJbulQhMqLbJxzYZ2SYj22Rkm4xsg9EMCbX+O3++ H86H98/lb+vrakMwSQiSpmmapunSMyTXevmngPCh//s0/db/KgQp7X5GPQvWs4h8bJGRLTKy RUa2yMjWLEZqreHBv+WT//vAQ3+bBwlrG/+MgGOkBX3UqIfSRT62yMgWGdkiI1tkZGsWI73W xgOBs4QgpQV91Eyotl6aT3jGxd6Qviqjf5/vic/V8ocAMiIjTWRkywOjRq3f59Ny0V949u8q BCkt6PDIj+rMgvU4Qt/pd25u4ZPf5VFzw1hk62+UFHeOsuO18q228crnljldtyMXzrtN7T7I 25eHpsWcTxZSm1uxRPUyqtR4ABjn7VXPtbWYR9ktb8jlG/llpF9aYhTzfC0vHupWWFj5leSL kSW0TYunJ7+28bTHddTjMGrUGpNIa6ukIkjJRmU4RlrQR39WF/W8pi4PcAbeepLu5oPJ4/pw qDYQyrzZDMDqzlIYhNe8iO3HS628lBIvriE9xFq0v639OdTRBwpHNebAbK0Lxwvf0smYlhpk VOn7pD8AvJdRV99qMY+yC8ek+uUFwR8jLc5Cal4ox4dygYVaTy6HjCyFuJRxocSs55ESf6HH Y9SotUyW3xCClBb00f9YZ1pCPYy0CSBqLx8Mjnww4fUmP5qLbEz+05Lo8mK1vcYqrTyqihdt yBqGiQ4vy8Hd1u05pPdBF8dF1+OKCSTFE2UzjepjVKi6bq17jTOxb5WYh9k187GWV0bKoqHl hdYmjYVWjyi/eVTKGBedMW9zUx/XSY/CaKn38mchBI0LXi2RmSBcS1rQ69+vtn7Pehasx1E7 SXfzKSYQDLDt7jrkjpYvl4GwHVSrYp3b07XyVWW8df3r6/Dn6RQ+FVh5fXsONfqgg2MZM/6+ LgDy5KIzXdXHKBfKGojuNM5afS7EPMgOMfTPX04ZYXEQc0lhFI5P8/faZp2FUo8or3lUqWuu sWJOeZRk8YEehNGiObXuFIKUFnRuAEbVTtJb+GD3ivPx74rS7jokt7jIpjZpgxLl0ieUslyK rW/AlfVIgzvp9hxq90EPx4LFdVJfJy1IY7qfUVK7/dDtjIQ4c4kxj7ELcRn5mOSPUYhlqUNd HCRGwiYJ5+ssFhn5leSP0Vbpmtv2ZFLya1Vgv8nNOp5HZRQ1p9adQpDSgs4NwKjaCXUvPpiI 68FVDppq8rkcux0A9XlJWnmpzgG3TIxiuaDbGdmDelXNcRMzJqqCaZyw8va3Yokam5Ts+m5n hGuofavEXMtiV75ub/o8MopS2t3JaG2nyqKzniivjJLya6rXN2LGeXJu9oxr/4xWzal1pxCk tKDzGYBRtZN06qQkLrLf4VhcN/d6nDbYtPKtqngvt/9WYZGIL/PjlPZfdDujnokCKtshxVxP ED1Mt+plBFmLQNQtjKy+lWOuj7bZyfmoXdUXo1xSu/sYZeUKi956ovwyioo5sY6H1XU8rZjx dz03e8a1d0ZJc2rdKQQpLej8FsCo2km6l08YGGvmIqnFa+TXLifoVcXg0+pR65dUxdva3Yd6 LxND3bBMt+eQ3gcqxxaLIh6DqahBRg02q3Yz0uLMpcQ8zK6IW2aX5IdREafW7h5GIaa13QoL pR5ZjvKoQ+q40GJGuZhHq6r4RT0Oo3nkdwhBSgs6zN8BGFE7SW/hg93r2g8pb6vrhUF0OU5I 7nxQ5vWtxntauaxtvMX5HQOsFs67TXWbytcSx1bMVjzqRHeVH0Z6nDqjvH15eQ+75c1U3ozT Vx7l1059O86oyAuFRX+cvhhZKseFza4ou7jgJ8S/1eMwmkd+hxCktKCPehasZxH52CIjW2Rk i4xskZGtWYxckUeQ0oI+aiZUW+Rji4xskZEtMrJFRrZmMXJFHkFKC/qomVBtkY8tMrJFRrbI yBYZ2ZrFyBV5BEnTNE3TdOkZcrcBkD7Rj3oWrGcR+dgiI1tkZIuMbJGRrVmMXJFHkNKCPmom VFvkY4uMbJGRLTKyRUa2ZjFyRR5BSgv6qF85ofKvm2jfNiGfNh+IjMioJTKyRUa2/pqRK/II UlrQk7/Ox8Px/CW+l3wTrDt9Zzg/Nfwwx6W8/E5pFM6TypM6v1eKtl9/cEL/virO2a0X4APh vN0iI1u/yEg7fisyqo/fioyCb7jWrzNqaE6tO4UgpQU9/vrfCnDmBgCdkJIBnbadVOOvRsW2 ZB2mdSZ+Bep6HMqzX4GCwvva5K1cS/llKSRuXg9eS3lKPlEaH4iMoh6eUdckS0Zk1GaE9qdF P9a5jccjo7bm1LpTCFJa0JMn3wEoksKSNlCg1Mll5+MSeeLE4+72f7kX7Y/JKNVLPpDOByIj 6FkYrcqOF0VGZNTDCIe1xpsjRobm1LpTCFJa0JPnbgDKXZ6lRkIhia7v5QNKTox2MkHledLO cX2N5EL82n+VCpFPmw9ERk/EaFVxvCQyIqMORuEYeWMQ5YeRpTm17hSClBb05PkbAPX/y95I To6QlMu5xakhwWInp/5N55cJItXbn1C5kFxSOflEaXwgMop6fEZR2+PJiIykmBc1GEHhnOsn d9+MLM2pdacQpLSgJ//CHYDqloyeU3JCRWXnIpmKOmNS5UmgJUTSnoTS208+ULv9ZAQ9PqNS Y9ciI0mvzai8piY/jCzNqXWnEKS0oCfPfwbA7qhVrYRK58qdP+f/ckfd13Ico7SPfELhUqfe PjIKhUudj8xoW+fQtchI0OsyCjGZiz/kiJGhObXuFIKUFvTkyRuAouPGdpRFZ+bnomONXWqd dFtVCdXYpSK5ED+stZ182nwgMnoORurxosho9FqvwiiU53E35YlRW3Nq3SkEKS3oybM3AItC R1865dojVYcGbcvyzswn47w81ZmEZByavBdZdbaEc3brBfhAOG+3yMjWLzLSjt+KjOrjt3pN RkXZxTonZ4wamlPrTiFIaUEf9SxYzyLysUVGtsjIFhnZIiNbsxi5Io8gpQV91EyotsjHFhnZ IiNbZGSLjGzNYuSKPIKUFvRRM6HaIh9bZGSLjGyRkS0ysjWLkSvyCFJa0EfNhGqLfGyRkS0y skVGtsjI1ixGrsgjSJqmaZqmk2eJWy+KoiiKejmdz/8DKe9rIKesyO8AAAAASUVORK5C YII=</item> <item item-id="155">iVBORw0KGgoAAAANSUhEUgAAArgAAAAMCAYAAACJBM5lAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACOSURBVHhe7dZRCoMwEEVRl56dpyMS a2mK+XM6nAMPQ+IC7hb66natNTMzMzOztItuPcL1zup/AADwJIELAEApAhcAgFIELgAApZyB u39/bbwDAEB20a3vcB1Be91wPQMAQFbRrZ/hOsJ2dg8AANlFt36H6+odAABkMw3cGYELAMA/ ELgAAJQicAEAKKT3FxC5eGveBBmbAAAAAElFTkSuQmCC</item> </binaryContent> </worksheet>