Mathcad Professional 14.0 <description/> <author>Academic Computing Services</author> <company/> <keywords/> <revisedBy>Academic Computing Services</revisedBy> </userData> <identityInfo> <revision>1</revision> <documentID>3C07B4BD-CF79-4445-B72D-9C24956AF619</documentID> <versionID>03FF7040-DA7A-416C-B459-1A7E7B425058</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="0" text-align="left" list-style-type="none" 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="0" text-align="left" list-style-type="none" 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="0" text-align="left" list-style-type="none" 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="0" text-align="left" list-style-type="none" 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="none" 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="none" 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="0" text-align="left" list-style-type="none" 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="0" text-align="center" list-style-type="none" 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="0" text-align="center" list-style-type="none" 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="small" 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="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="10" 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="System" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Script" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 5" font-family="Roman" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Modern" font-charset="255" 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="10" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="charge" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance" display="false"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="86.4" right="86.4" top="86.4" bottom="86.4"/> <header use-full-page-width="true"/> <footer use-full-page-width="true"> <center>{n}</center> </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="false" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="158" 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="2" left="6" top="2.25" width="62.25" height="12" align-x="6" align-y="12" 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"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">hw 2 solutions</p> </text> </region> <region region-id="3" left="6" top="27" width="12.75" height="12.75" align-x="11.25" align-y="36" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:real xmlns:ml="http://schemas.mathsoft.com/math30">4.2</ml:real> </math> <rendering item-idref="1"/> </region> <region region-id="4" left="18" top="45" width="56.25" height="12.75" align-x="39.75" align-y="54" 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/math30"> <ml:id xml:space="preserve">T_a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>4448</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="5" left="90" top="38.25" width="85.5" height="27.75" align-x="131.25" align-y="54" 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/math30"> <ml:id xml:space="preserve">m_dot_a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1.474</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kg</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="10" left="204" top="38.25" width="59.25" height="33.75" align-x="225" align-y="54" 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/math30"> <ml:id xml:space="preserve">g_c</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>9.81</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">s</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="6" left="36" top="62.25" width="90.75" height="27.75" align-x="63.75" align-y="78" 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/math30"> <ml:id xml:space="preserve">Isp_a</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">T_a</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m_dot_a</ml:id> <ml:id xml:space="preserve">g_c</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="29" left="330" top="75" width="77.25" height="12.75" align-x="357.75" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Isp_a</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>307.60846863818244</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="6"/> </region> <region region-id="11" left="18" top="105" width="63" height="12.75" align-x="40.5" align-y="114" 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/math30"> <ml:id xml:space="preserve">T_b</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="12" left="108" top="98.25" width="79.5" height="27.75" align-x="150" align-y="114" 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/math30"> <ml:id xml:space="preserve">m_dot_b</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>3.25</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lb</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="13" left="36" top="128.25" width="75" height="27.75" align-x="64.5" align-y="144" 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/math30"> <ml:id xml:space="preserve">Isp_b</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">T_b</ml:id> <ml:id xml:space="preserve">m_dot_b</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="16" left="330" top="152.25" width="92.25" height="27.75" align-x="358.5" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Isp_b</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">s</ml:id> <ml:id xml:space="preserve">lb</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>307.69230769230768</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound" power-numerator="-1"/> <unitReference unit="pound_force"/> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="10"/> </region> <region region-id="19" left="18" top="177" width="54.75" height="12.75" align-x="45.75" align-y="186" 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/math30"> <ml:id xml:space="preserve">Isp_c</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>350</ml:real> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="20" left="108" top="170.25" width="85.5" height="27.75" align-x="149.25" align-y="186" 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/math30"> <ml:id xml:space="preserve">m_dot_c</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1.474</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kg</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="21" left="36" top="207" width="105.75" height="12.75" align-x="57.75" align-y="216" 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/math30"> <ml:id xml:space="preserve">T_c</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Isp_c</ml:id> <ml:id xml:space="preserve">m_dot_c</ml:id> </ml:apply> <ml:id xml:space="preserve">g_c</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="22" left="330" top="207" width="75" height="18.75" align-x="351" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">T_c</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">N</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5060.979</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="14"/> </region> <region region-id="23" left="6" top="249" width="12.75" height="12.75" align-x="11.25" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:real xmlns:ml="http://schemas.mathsoft.com/math30">4.4</ml:real> </math> <rendering item-idref="15"/> </region> <region region-id="24" left="18" top="267" width="45.75" height="12.75" align-x="36.75" align-y="276" 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/math30"> <ml:id xml:space="preserve">Isp</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>225</ml:real> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="25" left="90" top="260.25" width="54" height="27.75" align-x="108.75" align-y="276" 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/math30"> <ml:id xml:space="preserve">dV</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>200</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="26" left="162" top="267" width="57" height="12.75" align-x="186" align-y="276" 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/math30"> <ml:id xml:space="preserve">m_f</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>950</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="27" left="36" top="290.25" width="136.5" height="27.75" align-x="60" align-y="306" 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/math30"> <ml:id xml:space="preserve">m_p</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m_f</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">exp</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">dV</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">g_c</ml:id> <ml:id xml:space="preserve">Isp</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="31" left="330" top="309" width="63.75" height="12.75" align-x="352.5" align-y="318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">m_p</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>90.10034468868119</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="20"/> </region> <region region-id="44" left="18" top="332.25" width="249.75" height="12" align-x="18" align-y="342" 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"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">part b; the initial mass is the final mass after the first burn</p> </text> </region> <region region-id="37" left="18" top="351" width="47.25" height="12.75" align-x="39.75" align-y="360" 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/math30"> <ml:id xml:space="preserve">m_i</ml:id> <ml:id xml:space="preserve">m_f</ml:id> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="38" left="36" top="368.25" width="134.25" height="27.75" align-x="60" align-y="384" 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/math30"> <ml:id xml:space="preserve">m_p</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m_i</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve">exp</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">dV</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">g_c</ml:id> <ml:id xml:space="preserve">Isp</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="39" left="330" top="393" width="72.75" height="12.75" align-x="352.5" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">m_p</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>82.295259194310944</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="45" left="6" top="417" width="12.75" height="12.75" align-x="11.25" align-y="426" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:real xmlns:ml="http://schemas.mathsoft.com/math30">4.6</ml:real> </math> <rendering item-idref="24"/> </region> <region region-id="46" left="18" top="435" width="44.25" height="12.75" align-x="30" align-y="444" 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/math30"> <ml:id xml:space="preserve">θ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>60</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="47" left="90" top="435" width="43.5" height="12.75" align-x="111.75" align-y="444" 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/math30"> <ml:id xml:space="preserve">t_m</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>30</ml:real> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="48" left="150" top="429" width="62.25" height="18.75" align-x="159.75" align-y="444" 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/math30"> <ml:id xml:space="preserve">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>8000</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="49" left="228" top="435" width="37.5" height="12.75" align-x="237.75" align-y="444" 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/math30"> <ml:id xml:space="preserve">r</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2.2</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="58" left="18" top="452.25" width="117" height="12" align-x="18" align-y="462" 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"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">assume no coasting period</p> </text> </region> <region region-id="54" left="36" top="470.25" width="66" height="33.75" align-x="48.75" align-y="486" 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/math30"> <ml:id xml:space="preserve">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real font="0">2</ml:real> <ml:id xml:space="preserve">θ</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">t_m</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">r</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="55" left="330" top="489" width="48.75" height="12.75" align-x="341.25" align-y="498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">N</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>8.462202433911898</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="30"/> </region> <region region-id="83" left="18" top="513" width="44.25" height="12.75" align-x="30" align-y="522" 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/math30"> <ml:id xml:space="preserve">θ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>90</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="84" left="90" top="513" width="48.75" height="12.75" align-x="111.75" align-y="522" 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/math30"> <ml:id xml:space="preserve">t_m</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>100</ml:real> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="98" left="18" top="530.25" width="379.5" height="24" align-x="18" align-y="540" 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"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">assume the thrust is the same from part a, and we now have coasting, we need to solve</p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">the following nonlinear equation (4.37) for t_b, my inital guess is:</p> </text> </region> <region region-id="99" left="306" top="543" width="41.25" height="12.75" align-x="325.5" align-y="552" 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/math30"> <ml:id xml:space="preserve">t_b</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>30</ml:real> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="105" left="30" top="561" width="24.75" height="12.75" align-x="41.25" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> <rendering item-idref="34"/> </region> <region region-id="101" left="30" top="572.25" width="142.5" height="33.75" align-x="160.5" align-y="594" 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/math30"> <ml:equal/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">T</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">r</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">t_b</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">t_b</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">t_m</ml:id> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">t_b</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">I</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">θ</ml:id> </ml:apply> </math> <rendering item-idref="35"/> </region> <region region-id="104" left="330" top="591" width="80.25" height="12.75" align-x="374.25" align-y="600" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:Find auto-method="false" method="levenberg" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:id xml:space="preserve">t_b</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>7.2799812734123455</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="106" left="6" top="639" width="12.75" height="12.75" align-x="11.25" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:real xmlns:ml="http://schemas.mathsoft.com/math30">4.8</ml:real> </math> <rendering item-idref="37"/> </region> <region region-id="107" left="18" top="657" width="54.75" height="12.75" align-x="39.75" align-y="666" 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/math30"> <ml:id xml:space="preserve">m_i</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>962</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="108" left="96" top="657" width="66" height="12.75" align-x="117" align-y="666" 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/math30"> <ml:id xml:space="preserve">h_a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>41756</ml:real> <ml:id xml:space="preserve">km</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="109" left="192" top="657" width="45.75" height="12.75" align-x="207.75" align-y="666" 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/math30"> <ml:id xml:space="preserve">ec</ml:id> <ml:real>.0661</ml:real> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="110" left="258" top="657" width="81.75" height="12.75" align-x="294.75" align-y="666" 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/math30"> <ml:id xml:space="preserve">h_GEO</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>35786</ml:real> <ml:id xml:space="preserve">km</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="111" left="348" top="657" width="45.75" height="12.75" align-x="366.75" align-y="666" 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/math30"> <ml:id xml:space="preserve">Isp</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>225</ml:real> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="112" left="18" top="681" width="87" height="12.75" align-x="52.5" align-y="690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">r_earth</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>6378.14</ml:real> <ml:id xml:space="preserve">km</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="121" left="138" top="668.25" width="102" height="39.75" align-x="181.5" align-y="690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">mu_earth</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>398600</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">km</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">s</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="114" left="18" top="711" width="81.75" height="12.75" align-x="37.5" align-y="720" 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/math30"> <ml:id xml:space="preserve">r_a</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">h_a</ml:id> <ml:id xml:space="preserve">r_earth</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="45"/> </region> <region region-id="115" left="330" top="711" width="75.75" height="18.75" align-x="348" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">r_a</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">km</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>48134.14</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilometer"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <region region-id="118" left="18" top="728.25" width="46.5" height="27.75" align-x="28.5" align-y="744" 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/math30"> <ml:id xml:space="preserve">a</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">r_a</ml:id> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">ec</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="47"/> </region> <region region-id="119" left="330" top="741" width="67.5" height="18.75" align-x="339.75" align-y="756" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">a</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">km</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>45149.742050464309</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilometer"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="48"/> </region> <region region-id="134" left="18" top="771" width="66.75" height="12.75" align-x="37.5" align-y="780" 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/math30"> <ml:id xml:space="preserve">r_p</ml:id> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">ec</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="135" left="330" top="771" width="76.5" height="18.75" align-x="348.75" align-y="786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">r_p</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">km</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>42165.344100928618</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilometer"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="50"/> </region> <region region-id="128" left="18" top="794.25" width="153.75" height="33.75" align-x="39.75" align-y="816" 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/math30"> <ml:id xml:space="preserve">V_a</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mu_earth</ml:id> <ml:id xml:space="preserve">r_a</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">mu_earth</ml:id> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>.5</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="51"/> </region> <region region-id="129" left="330" top="806.25" width="65.25" height="27.75" align-x="351" align-y="822" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">V_a</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">km</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.7809438907702226</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilometer"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="52"/> </region> <region region-id="140" left="18" top="830.25" width="154.5" height="33.75" align-x="40.5" align-y="852" 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/math30"> <ml:id xml:space="preserve">V_p</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mu_earth</ml:id> <ml:id xml:space="preserve">r_p</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">mu_earth</ml:id> </ml:apply> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>.5</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="53"/> </region> <region region-id="141" left="330" top="842.25" width="66" height="27.75" align-x="351.75" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">V_p</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">km</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.1746057200451165</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilometer"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="54"/> </region> <region region-id="136" left="18" top="873" width="108.75" height="12.75" align-x="50.25" align-y="882" 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/math30"> <ml:id xml:space="preserve">r_GEO</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">h_GEO</ml:id> <ml:id xml:space="preserve">r_earth</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="55"/> </region> <region region-id="137" left="330" top="873" width="89.25" height="18.75" align-x="361.5" align-y="888" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">r_GEO</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">km</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>42164.14</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilometer"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="56"/> </region> <region region-id="138" left="18" top="896.25" width="102" height="33.75" align-x="53.25" align-y="918" 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/math30"> <ml:id xml:space="preserve">V_GEO</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mu_earth</ml:id> <ml:id xml:space="preserve">r_GEO</ml:id> </ml:apply> </ml:parens> <ml:real>.5</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="57"/> </region> <region region-id="139" left="330" top="908.25" width="78.75" height="27.75" align-x="364.5" align-y="924" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">V_GEO</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">km</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.0746594756844638</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilometer"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="58"/> </region> <region region-id="144" left="12" top="944.25" width="255" height="12" align-x="12" align-y="954" 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"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">cheapest transfer is at perigee where the orbits are tangent</p> </text> </region> <region region-id="148" left="18" top="975" width="81.75" height="12.75" align-x="35.25" align-y="984" 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/math30"> <ml:id xml:space="preserve">dV</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">V_GEO</ml:id> <ml:id xml:space="preserve">V_p</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="59"/> </region> <region region-id="146" left="330" top="980.25" width="57" height="27.75" align-x="346.5" align-y="996" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">dV</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">km</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>-0.0999462443606526</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilometer"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="60"/> </region> <region region-id="151" left="18" top="998.25" width="135" height="27.75" align-x="41.25" align-y="1014" 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/math30"> <ml:id xml:space="preserve">m_p</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m_i</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve">exp</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">dV</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">g_c</ml:id> <ml:id xml:space="preserve">Isp</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="61"/> </region> <region region-id="150" left="330" top="1023" width="72.75" height="12.75" align-x="352.5" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">m_p</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>42.5887121487336</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="62"/> </region> <region region-id="153" left="12" top="1047" width="44.25" height="12.75" align-x="30.75" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Isp</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>400</ml:real> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="63"/> </region> <region region-id="156" left="18" top="1076.25" width="135" height="27.75" align-x="41.25" align-y="1092" 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/math30"> <ml:id xml:space="preserve">m_p</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m_i</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve">exp</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">dV</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">g_c</ml:id> <ml:id xml:space="preserve">Isp</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="64"/> </region> <region region-id="158" left="330" top="1107" width="72.75" height="12.75" align-x="352.5" 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:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">m_p</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>24.193207106787675</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="65"/> </region> </regions> <binaryContent> <item item-id="1">iVBORw0KGgoAAAANSUhEUgAAABAAAAARCAYAAADUryzEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AGpJREFUOE+1k1kKACAIBev+h24j42Fqgin0EzZNarWNKJGYgEiUyOFlnwYYZRHZc5+WaoAJ SOHQlcevoSTNgAP/AvDWl8ExJSXpfVaHRABWWCvkntzDVufAaiNauwDYmcsybRK94Ly/4DXo ARyRmp5ozzMAAAAASUVORK5CYII=</item> <item item-id="2">iVBORw0KGgoAAAANSUhEUgAAAEkAAAARCAYAAACRroFGAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AQRJREFUWEftl40OgzAIhN37P7SzizVIOA6p07nQZNnsPx8HzNe8tKmaT6BBquYTmAoQJ1CQ OKN5g7QEZctN5iewz2VT2h2tFumX9vU9ep/cU8/bQZILrd+XkQAHWQathefjXN3kfD0un9Ha jcERr9wJqRuCjGX9DJI7fiYk5OkzVDkKqStOfut7IXWZAY7i21MSky+KeStPWGHDUgE0UIUh Da11/m6/bygpAxk5gIWRpwatGqZGpLafV5JXdY+OaTWjNKDTxi2QRgpApNRbMFjidkMclc1M yGjPegdnQWUhyb8KOn9ZBYfmpKwB/7quXksCng1D8pJk4JxHTwlDerSVg5d/A5tdV4ttKZf9 AAAAAElFTkSuQmCC</item> <item item-id="3">iVBORw0KGgoAAAANSUhEUgAAAG8AAAAlCAYAAABMBrdqAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AfZJREFUeF7tmNGywiAMRPX/P9qrju1gDMkut7RhZvviOE0h2UNI4P54Pjc9ayrwgqdnTQVu a7otr987pmRYVwHBK8LuWXRpT/gv6Cn0QabAC5zgZSoVfi94heFkrrXwbCZu/9tfNSyZoie+ 3+DZDIz+q+adCCiaqlf3BK8IoAze57brx8xul5uBMq8IWFvzdkDBEULwCsD7aUSao0OvWZne sIy0v1dryfjcNhlWZC8OZuwo8/Z5Z4nFHDxHgprhN+sz2iFutWwkTu+b6fB6xfeoFTkDHupz D1rUcKBj9/Txmpavmme3gZEJ29XrtbnRARQFkmXIyApHGgRrE2VFG0sEG43Zhdo6ZIVnJ7Ud U6+DsouCETsa0wboFftsLuY9Ao/xlwXpZt6ouF6m9Vb0f4LythA28J59BC+Kz9ulMvu2FvYW WrQAl4PHQD8687LxojIxY8FNg2edRbIy27JGdwQmKxEfkN3kjMZsh+eJ3dY8NChbN23hbt/b eouKbDPAq3XoWKh/GQxEH8SG8Vs3LIxaxWwFrxgQxh0KXtQRMZNGtmfMcZSvV49DwbvaWc3/ rYDgLbwiBK8oPORcKHgF4aEXEYJXFB5yJhS8gvDQywvBKwhP22ZBKKhLSLPyvudFB5RdPQUE rx4T2CPBg6WqZyh49ZjAHv0BT6Y/AAo6TtwAAAAASUVORK5CYII=</item> <item item-id="4">iVBORw0KGgoAAAANSUhEUgAAAE0AAAAtCAYAAADr/ebqAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AbRJREFUaEPtmduOgzAMRLv//9G7FCXIGF9nKxWF4aVQEhKOx5eEn9/tePHoEXhD49Ej8Oo1 Z+vdM4mhT4DQ+syoNIAZoREaQmD02WqO/ez9K8+tRzKmCVBVcISmlDbVNhU2QUrFERqh4UFN Kso7P9SHD7NOzxn8vZimXfT27qlfyMxmI+OZ8WdkxU+a+NbQLhY2AERtZPlAaIJABtZS338B XpQm3aFjqcyNkMlnQHRZ8BX3rE5SWyrLNqcaR8SfLugIvHcPMVamxJPSPgEtG7B7XyvfSwS6 KI2KU3nP8qzov30cSzUdt/Qm68HxJpTBrCoJNXw2vrsiQKXccc/O5Kpq0e4fXSPjX4SVxZvq IJk6EYNEz9SGstpmMbP6bim0KMijg6zWL0wE3Xi1Ghw3LkeJYLpAlk1WheW5962XUd80RpSF Ca1omVPiKfZ5fDNCAyRAaE1ol/jW7P+45ubOyeMoNF7YWx4yezoQrdr0WAs3wLPpIEClAVIg tKme4ItWuMsBQF+iS3c/kErbzJ7tBVJpgW9U4VFpQ2lHOVH4Ik9owj2rW/KEBqQyQiM0gADQ hUoDoP0BHfGrFayS98EAAAAASUVORK5CYII=</item> <item item-id="5">iVBORw0KGgoAAAANSUhEUgAAAHsAAAAlCAYAAABiQ5b4AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AhxJREFUeF7tW4tuwyAM7P7/o7dmFRNhfhMgJhepUrVgA3f2YVzt6/v9vPA8A4GDbDzPQOD1 jG1il78KDhiegwDIdnL9PtyPGof8OF1NHw6ynZAfRJeH++50OW04yO6Auia7w800U5DdAXWU 7HIMdEwdMgXZIdg+RhGyV0o/yJ5MdgmSFdkNsieTjczuAHylKWR8JfoT567v2t5p23u61z46 /k/GexYfnRx2cxE4ndkRWZq7XMzWgwDI7kGPsL1zO1Ulm5L3ogCR64NmA3W5OPoqdyLZ1DVB Il9bpufakfXHBg2Dle9VsqlMa//mycZRhaAkn3j3oVmV8brjU6IySjYye2VeK2RLP+d5iKOC xKMGayHaZ3bxns1J7hUFGleoIQjGBVeoNw5CxhEy0jPIHonuzXy7yZaq6Ts3FKK476RibrKj oGW00xpA9Z4yBAXIVqLQSqJ13Mqg345s6qbgJaLOaKqn0GZ8pFFkVQ3qaLQEDLWmrchuNyiR xgHW9g+kfkKk11CaVFyDSjoarEHL9kcsUZJpjNQIsuyDymRL59BKRO2LUoiryT75swCQaUwG sj2KED0iKM62knFJIq2ZR8l4XQdwmceNIUFn/qukHWtds2R32k+mrNXWqp3ZVvC8BVoJMqv/ erxUqEWLM24922W2FhCZ3lPB4wmofxmfafNPWyvI7mSckkZJSiPTXTlH64s6AqxFHGQ8wmZS mx85uuuZQPCslwAAAABJRU5ErkJggg==</item> <item item-id="6">iVBORw0KGgoAAAANSUhEUgAAAGcAAAARCAYAAADAOrIlAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AT9JREFUWEftV+0OgyAMdO//0JuaaZD0rr2OJZCUZD+GCO19tPh672OrMScCBzk15kRgmzOs iuqsaAXDvAjc5OxF9+g952+lgeK25tu5SK79GuWsERg+mFiRmBaEK/4+D2/eAhLtca3N7KkS tjQ5fbIKYEyI1rMRhA8nB5WH7xVcLoORcqImccXSqxr979cj97WEMCchUSBHRjGgzrGCY2R5 oLJkWyBH9AYLcG/OElzUjZGWEMn/ESMLGDHs1WNGEmqqHrGR5yOAzJQv5dwIibdQf1ETKxte k0VBWq6JJqSAhMhWyckI9W9ljVnfU7dqa2+/7IVAuQx4hCvkqPnT7xxUgtqAo6pGPUUloHc6 i9FSKHOsFSM6LzJviSfqmtMEGXBUQjJn1DtFztQakJ3DbluomZfTchqQyckdU29lEPgAhDtB BCTciHcAAAAASUVORK5CYII=</item> <item item-id="7">iVBORw0KGgoAAAANSUhEUgAAAE8AAAARCAYAAACcsPEBAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AOxJREFUWEftluEOgCAIhOv9H7qyZTMDOy5ptsHWj1wgfB3ovGw2hXEEErwwjsDEuYXX3rGB gSdwwtuaPs0+8UHCJ19vk/Yocy73Z9az/1MtZ2zJoXR+CnQcODt0T8sJ14Ck9zqX/N5aL79p 1XJhIxXMgGB8rLC14msBWOFlASDKc4UnKaSlFgvAr+HVtdzGWk/lWdqdma9fwtNqcVUeIn2L 2pAZ5922KsieyrO05+jK02oJ5R1kkNZsHSa3+4V2P0JaDfFlT2Utdo91KQay5ns5Q4j/+JuA 9+LnwfC0Ac+24Yuch3GF4Q2T8UCJrI2yoFAVT1ueAAAAAElFTkSuQmCC</item> <item item-id="8">iVBORw0KGgoAAAANSUhEUgAAAGcAAAAlCAYAAABf0feeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AfJJREFUaEPtWOHSwjAI0/d/6E/dOa9DSsJsR+++7JfnOggJ0NL73/O56VmTgZc4etZk4LYm LKHaOppoWJcBiVOgzXOD+3htf1soEudicV5i7IK0vz0YEudicd6nY1VOAe+US6+teVWkyqHo HLvIitPbgyTOWN4pa9GB4PCOsqZFQxmQOEPpHGtM4ozlc5i1feP39h0780zdc6IB62y0M2y2 WDzyvobD96ziYWG+Z2OfJg4asCwhDOCMTcaeRzrC9ZXdzbRvZ5gzGA7+fzUQfc9mObtudPAo dgZXdCxG9tH7Q+V41woMQK8teERm+m0POH31YTIaEYGqCOFBFZf1v/G3f2SJs3dAjHF2uLLC ZRLAtjb0bRsXux+w7TPyjXBRfPYUj457bBbRR8ZElqOezwTNrkEEZ8XpJYr3/6FyomxGINvq Y8T+tXIyLeRM5fTiyfplk6Cb7AyZZ8Tx2iTyxfhZoXJQV2HiYISj9xzWYbRX9Xo+2+N7+6MX KIvXJkyEca94W432f4Z4Zs20OYdxrjUxAxJn4QxJiROdNkbFeIWPUVhn20mJMxuM7B8ZkDgL Z4TEKRYnurWQOIXiwHmpENu/d43mO1XOAinSE0niFIqjtlZIPnIdHQa2KyFkQO/rGJA4ddxD zxIHUlS3QOLUcQ89PwA9DR/nqOR37AAAAABJRU5ErkJggg==</item> <item item-id="9">iVBORw0KGgoAAAANSUhEUgAAAGUAAAAlCAYAAABbJCejAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA Ae1JREFUaEPtWYtuwyAM7P7/o7c1aypq+XE2JoPgSJUqBRtzZxuOfH3/Po965kLgSUo9cyHw mCuciuboXAXDfAgUKX97qvhDKHvaZz653jIju9BXC6r0XwrnJDQz3CKFoBnJ+oiNRmKRkkhK VtUUKUmkeNteVYqj4UdaEbWJ+GhDrEpJqpQPUDtPY0VKkeLoI/8wtNUr3ul7bOlc70rJdKqd 6b2L3XH8R/vq3aDUE8VLNe8IsnfNl5FyXLR1boDexWWN772G8cZhksK1tRNcr1hC7VYlzwu+ 2Oa1oxwniDSSrKAoiRb4UoZa86z+Xq0UqRKiYilqh4KstZlV3h1tHhE9VoZbGX/O4SWlKoXZ iKX7HIsk9EiMkolWyl3GqTpF0i7ohs2BhOih3ckKXbPsDtroiixSRiMc8O8mRWs/V4uswHpD JiM6g+bTTUpoVQsbeQQySp7ls0gBEsYDNuDuGLJdpXCnQxTYVlO1fqie42SBVQGcJuRsblcp dM9rF40SQ/WZpNdoxqP+TztRB6LlttI4TfQi66DgjiJFuk25XaVo2YtmcpGCpK5zTGalcO1Q zPDX9yKEfJV453qnH27tKQhgtOdzALIbtPPrKo31fciYHuUNA7zlnrI6j1uS0rYN+j+L0J45 tiQlC/hRfn4AFac+rNrmihUAAAAASUVORK5CYII=</item> <item item-id="10">iVBORw0KGgoAAAANSUhEUgAAAHsAAAAlCAYAAABiQ5b4AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AiZJREFUeF7tmdtywyAMRNP//+g2ydQdTFfSIhuCzXomD3EwiD26mXx9P6+HrjUUeMHWtYYC jzW2qV2+M7hkWEcBwV6HtSJ7IdaCLdgrKXCzvT7fIV+v0u9Pfalm3wh2CViwbwQWbcWK6G2s IvuGDqA0fkOo/2pyUaeVxm8O3GvOdido0cAzdELedta8KHWhPZX3ohr3+yfRrrO1dGL1i5qo Ug92TlbDXc3uBQOJxhoYjatt3r633rcanlp89N1aC6XZ0j5P7xaniDSCDVpP2Btw1rDsuAi2 By/6rQWqZT8LsQeLMLKtVJiJVtarj4JGjgUbFnDwUD5bp/lesNE6Z6fwXc2OBKpBsR6KatBf WnHEPqO2tkZqaRfaHwM7ish6XkvHaJ5MQLiRXXucBYk1jBErs4lMHWXrZR0EtROiuszUeTa4 orlQUFiBEqZxlK6z0NjnrA0wjsDW7CxsLysxTu9lxEy2ZDShGjQvxWQMY2G3bMCKrGitI7DR s6weU8Auo6muXZZwVpr3YKF1jsK15vTuozVRPUX3kINF6b3MkOw6TKZo0S51Nn62ES0Ga2xe AcHOa3e5J5the2nY6wwvp8yFDKb7hQvtSaYCBcq+KeqhmiNbis+ngCJ7PibdLEKwUZQrsrsh GDex93q4+22cSVqplwL0QU0vAzTvOAUEe5zWH19JsD+OYIwBTcfcY0zSKjMooG58BgqDbBDs QULPsIxgz0BhkA0/rMZ1HtJKjEUAAAAASUVORK5CYII=</item> <item item-id="11">iVBORw0KGgoAAAANSUhEUgAAAEgAAAARCAYAAAB+bOp4AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AQRJREFUWEftllEOhDAIRPX+h3bV2IYiMEybbGzSJn6oKQ6PAbsf59rW8glcgNbyCWwLTkxg AQIOqYDOJrxm0X3NuCL91rtsvg2NmeHIouo82PsmVhR4Ric9f+Uq3eoKBIwC5NmzCGFdh6zN xtNF9PbL5wiQ1Bi2mBU0AoYcF4m0Em2EJuYjmqHl+xEgrRECsiqCKuCBGnUHKkB5j1yEADWQ MjNIV+YfgCz3ZAGPAJKQbw3Z6f+ynjgO9AjP7sm6BhU6O4PcFvNmi9XXspfZRLNzggGj3fZy gXG2s/KVP56aIyME9XhPrK/v6To2s675OoRIHw3Is6a2p2f72WDRgGZLcFTvDy2IQaGqKoUN AAAAAElFTkSuQmCC</item> <item item-id="12">iVBORw0KGgoAAAANSUhEUgAAAG8AAAAlCAYAAABMBrdqAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AfdJREFUeF7tmFluwzAMRNP7H7pNjNhQaC5DwQvZjH+CwLI44hMX6ef3+Tz49PTACx6fnh54 9JRN1UvGpBv6eoDwirB7Ft20kvwXaRP8IPLACxzhRV4q/J7wCsOJpI3wZCSu/8dfNiyRRy98 v8KTEej9Z827EJBnyqp7hFcEUATvfdu1GybT5TqAkVcErKx5GyDnCEF4BeDtGpHh6GA1K6c3 LDPt792+zGgemwzpZG0dmbm9yNvsnuWszMFzZlFn6M5qRjvEtZbNrFP75nR4VvE9akeeAQ/V bEHzGg50bss/WtPyUfNkGpgxOO5erc31DqAoEKv7Qop8ZAOJjqvhWZo3eFHRjBYtQWuQxjms 7iqyk/lOK/YRnMx7L6VpGymaO1q7fK9GngYCmViLNCsaMhAs6Iim7BjPwd76tCwVjR9robXR vA34r+EdHXnRfF6ZiFJ9dpMt4JFUhoa7jKao/smoROzMRizqHEQDkk2sxgPVgYyDax66qAiY rIVj6kAEI+NRrbsa8j4cI+luprTM6gobFtRxHFfHA7weq8MirSQFz+uI0paND66wcZTWu+dJ wbtbLO1/eoDwGu8IwisKDzkXEl5BeOhZlvCKwkPOhIRXEN54g+PetRbW/rXSmDYbo0ealeV6 rvEav1464TXeAoRHeI090Fj6H4ASSvRgcR3uAAAAAElFTkSuQmCC</item> <item item-id="13">iVBORw0KGgoAAAANSUhEUgAAAJAAAAARCAYAAAAyqiXFAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AZ5JREFUaEPtWNFuAyEM6/7/o9feSVRcamITGKOnnLSXieDYcUjUn9/X98gvFYgqcBgov1Qg qsAjGphxqcA5vVKGVGBEgbeBXiPw2IXg3wjAaGyd0+hdu8Uf3L79uxiokKmJ7UByhxxmF7o0 hnLvzvxhC+yW8G75KEVXzqi81HMK5uwzUw3Exk1UCBSHsMq5nu6uX10Wh+7v5VRj2NgWJ5aX NQWrA+Lcg3FZdZAje0U5t/FqnrP43l0LCW3HrWco1nVK7vZ+zwgtPIvj4So5sdp5dfA09fT6 4MCSYOKjvUmNUc+1OhV1Xv0/ZmSWu2Jc2zyq+KzpZhjI02KGgU4O/2Gg0RfIPsEtI4wayDNo pMCqIZm5ekzKzvaMLtQsf2IgtXAjLxAyjRVDzUM1Q+tcFMcbgwhLwYlwUeuAjP1hILRLqADM zYoAqOuRMRBWuZ/l0Xp12c5gCx7BY6Zp8erRTuGPpkCkzt//S1bFukdkVay7nkNaRfRLA93V IYTXcgOhJ095KlfVxxu9q3JfgTMTw95VdpwWBhz9qwqcOPdU4AmUZ9LwlxDqjwAAAABJRU5E rkJggg==</item> <item item-id="14">iVBORw0KGgoAAAANSUhEUgAAAGQAAAAZCAYAAADHXotLAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AYBJREFUaEPtWIsOgzAI3P7/ozc10XQVelceWWNossRMoXAHXPX92dar1joI7ITUWgeB1zqh VCTHtCoY1kKgCAniYxOhXYuPn2f5rD07P8i2J8FDShGSUBhFSAKoVpceMkrUragrdqUhwYBG ufN0SWlIFAuNnyIkAVSPyxBC2nN0f+0JzmuLzvfs/TYOFjDpOWk/Fi9JY3p/18hqN9euveBa 7EfgofP/CFAUiwaehVhk84O3FBhbQSgp7310ahkRMkOkFqeFcJQzIloUdSshaHygYFlgzuc0 wM7/NULZ/LIIOd43mk8sKR3CjLl+1qIOmGn1NsneLwKWLQSrHy2PtnCuIosaWWzVRXYJ6hDU SVbCNb8MllLhpnfIqOKkLmFI0gRaAhVVMls8UX5GxN+6mWF1FjA2YcZvP29RctLzCNh/jSyp 026i7hHmGU1AZIzi6Nte2lezZ/Pz2muFrsU61BAEVt3PQ6C+ZeVha/JME6IdWaP1wpTFg4xo Qh6U89KpfAGL6B/ODIb6awAAAABJRU5ErkJggg==</item> <item item-id="15">iVBORw0KGgoAAAANSUhEUgAAABAAAAARCAYAAADUryzEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AGNJREFUOE/dksESABAIRPn/j0ZNTFKaERdd7T47W7m0SZEBQGRSxIzpnwFaLS4bNKoKHxxA 1yyAbtwBuOYugP9qJZCakUAaNICmmQCjGCpRNbA3cwt03udrlIBdH/61ODk+AFRWOo6d3gkJ TAAAAABJRU5ErkJggg==</item> <item item-id="16">iVBORw0KGgoAAAANSUhEUgAAADsAAAARCAYAAABjEtTjAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AN1JREFUWEflllsOhSAMRHX/i1YkYkqdtlDwkZTED28uMqczra5bWkuUdcBGWUsU0JzgkLCp bY/ezdfXS9KiaWzRX5H9BZQWu2ji2qx7ZNjvYLlIyQD6e2siTVgUD1ptLQ0zktICWwqE/kv1 q7C8euc7+dbbFlR1YMds6AFFwDf3UX/QjVK1tH2zBtwM2Aq4RTTvid7h4HHWA1qSh/o+a7Cc leKBIv6Eo9I5vYmrYKVBhCbdkwMKpYDPCqoJ6eZteOn1uGENJM8z39jj+lwKA6vF5g13Rs5w OTty4Jd7d4piQHgDkHGwAAAAAElFTkSuQmCC</item> <item item-id="17">iVBORw0KGgoAAAANSUhEUgAAAEIAAAAlCAYAAAD2pT8KAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AU9JREFUaEPtWe0SgyAMc+//0JNN2ZVC+oHuvKP1zzYOBdIkBPd6l2vLa9s+QORVyJAgHAgk ECcTEogEojWFZEQkRpR0cBhi+aTfKSeWZ0RdvAbG8kBUJtTqV0C69gg5Ai6e5MlkRBSz1Dzi 5x2SNLjBoN93yYtPmuqaOr7WPjMfKA0+MNUZN5qZgfk96Pne9tm5iB6BTOYfQCBgHgMChQ4P I3jfmSrB4EPCUROILr5RaBjBGWCtBloo1TzS/+heCxM9hbEUAgIxoj+qkmUgT5+7gECF4O3f tUr0eoIRWqU1yXgAh2eNkTS0ic0ObJWEtRhXfanbNZBZjrK65A1egEY01vKCx3e0+YSI2BoI nUdYbli1TzLirGwCkUC0Ig/FCGmXCQOElFZD7Rr8tUJ32l11O9QOgmGBSGnU7fH8cwedScKY pWYBCUQGqsCBSpLHDsfwHNF72oaiAAAAAElFTkSuQmCC</item> <item item-id="18">iVBORw0KGgoAAAANSUhEUgAAAEYAAAARCAYAAABgpdrLAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AQFJREFUWEftlusOgzAIhfX9H3rTOQ095Vrpsi008YehpfhxOHF9bGup1RPYwdTqCSwFhSdQ YARlpIPZhnX3rNeTtbScXEzaH6kpr/rDxC8WkSI0gJhn9D3arGlgMtVCcyH8CKhIsxow50FK 15uMylc6480lgXj/WnTMNaVKMVQQ1n+BwbkcheNRSleE4kmWIs77aFM1hXFwuTtYxeBhb6e9 +zzw8OM0A6b1aiAln/kaMBHFaGPFxSww2jg2U2LJTkrEdX2WYqwaRj0Gx7BhQYPoK5wZS2Ng Sd36OCsvxrX7uJjloaL5Ruf+n/ZzSk/9j/lVWLfBSKY501s+BbtGyUn6CZcslT/ysY2ZAAAA AElFTkSuQmCC</item> <item item-id="19">iVBORw0KGgoAAAANSUhEUgAAALYAAAAlCAYAAADvAhPpAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A79JREFUeF7tXItuIzEIbP//o9v0sZFDMAzm4d2ESKfrZTEDw5jFVnWfX7fPR3+agVdj4EfY /ZEZuNW8hKIqnIxkdsQuYdZULIPJIp9VBavCyaRtRw4zzBa2UOmqQlXhZIr68L0jFw6zhT2p dlWBKnAOjJ+/jz//Z6uHf0cJvyInGivFbGG/uLBHIR9iHlPOEGGGT23TtbA1hv5uiQArv8kO nCcBJOValdtsk9ZU0K+BUg9VRcnEoSPHbAbOiiHLrySEEbOFzTBVVZQsnIcC/8/VXGfLwudG norO1MJ+8ZsQbdwYD5OZgsvcOLO477llJnZF31XFyMRpYd/OSVcUX2bMmYLLvo3g5mh6xVd5 31zFJTtmZYrkir6ripGNMzs8trCvqEog5lkHqyz4rsMVQE+oSfTmRfy95YxNbwu4KiLkRVS/ Cici1lUfkTmObyDkyu+tZmyEaMRmtdBVM3ZEfBE+orlE/LEde7wGWrkS4tZHdkVPfOMIIhGE kke7vxQb120QnAhx7fQRnSPi70nYdPbUDh+UMG521QKhYpNeN9740LkWiXl2+zBiaHxoODsF GYUdnSPiT+zYVASIQ0446DqUSNolrQc+Lh76nRaz1Pk1X7P4Z2+12cY/0/fIvGvJb9Uf1cLD jB0tHKtIpI4tbTYNx7IBNF/S80hho5v9zHYal9bYEX9pHdvSlTyJreBYiJnFpm1++lyzt3Jw JXuEb0s+iL8nYY+vt6M73o2YX6SRDoWWzosm5o2PrkeEK9nMBDzmLvGHFAnl5qx2kTla6xd6 3ReZyK5iReZgGVt25ZuJG8klGic7iqCLPd3Oi5G9PrIYLezQvgmVfknY4+tA+hmKIMEoIqYo YWuvzigcD41ajB7f9LDv9YWuXxI26vzKdlWCq8LRapEZR6ZvbWqof1doTG9+XlWMKhyNzsw4 Mn23sLXKkudVxbDgcCMWkhYyanBxcOvur3jwhqxHEaRCxTYW0XlCQ3CoDbKGispyiB1tqZi5 Z1rn9PBjXfsQn3XxO9ij4vFygeBECHuMU/N3dGuam7ZOs/dyhaxvYSssIYJDiNZsUBxkpFgV 1iwGKvAWtlbNizxHRedNR8PRniOjgHcUOUYbdBRZjdnD5dPG8zh75bVVxdFwxm49GxMkcWui 5jozh0Pnban2Wk4ZumlhG1itKpAmvtUxw5CqaopygdqpgAYDDrPvsU8+b7NFS/r/9rxd+Cyi /h2dDBvjbU2rCqYd5MYRgRtRrKMKWtARC5npUb9eO/FN53Xe65uBMzLwDSjBISa/5RvJAAAA AElFTkSuQmCC</item> <item item-id="20">iVBORw0KGgoAAAANSUhEUgAAAFUAAAARCAYAAACsPOAgAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AShJREFUWEftlo0OgzAIhN37P/SmZl2QceWwTFnSJkumoT98HFcfz3Usc+QS2KDOkUtgyV1u rrZ3/sSQT+AvoK6Gt/n+/pMDvdeY9DwLIxPD4i8P1QL5vly/ACNYHjCrYCxAc8+RyVfMHYVq FeBSpbYEZOW8Kut2bElE5vWKcwdUrVxpM4yqP+2v/SkK1vI3BNY6ZC8WFc56f1aFUlC9dRmx HDxVTkD/z6hq1CZ0ESKeitofXXreJVcWakSpSDXIFrKVKu2MAbrHM4emF1OfPew8RskexN5e zDlGu/TAsT14nho5GGPmDEjv0rN8XLc7itFi0neI9FjLfro2yCbHxDHgmXUqxVg5eXmmfvx7 m1WCxZ7l51DRBRNtDzahKnHR/FKVWgXC3ed4ATFBP80VcEqNAAAAAElFTkSuQmCC</item> <item item-id="21">iVBORw0KGgoAAAANSUhEUgAAADoAAAARCAYAAACM0L/dAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA ALRJREFUWEftVdsOgCAItf//6FInDTXGxbQVsfkkCOeibnuM4CESUA8RPIDMrv2BGhiIV91Q NbckzZTX3DbPno6J9wkUGAC5y9cjloWyrtXSI/Oclm2tizcAIG7EocXkULld8zLEVf7oPK1I lXUrT6OHRaqINI8jDfbvnGcpUI2inSKDxC8FKlVyqqLcneBs2dZjUFyt5Y5yZ3Z4tCy/Nf/T /2jlKo1C1GPC2UjTQ5OrmceNogfoZDx8zcjTYQAAAABJRU5ErkJggg==</item> <item item-id="22">iVBORw0KGgoAAAANSUhEUgAAALQAAAAlCAYAAADr98PUAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A49JREFUeF7tnI1u2zAMhLv3f+iuKapAYUgd/2TTMQsMw2aJOh4/0VKw5d/3z89X/7QDn+LA A+j+4R34qfFlrflk7avcrluxzah9MhCbrUsJj/yXnjfQjP3IzJSKbQpyZe3UEpQL97yBJi4i EzdxmBL2aO1jvcfv49ffnezlz5HkUE70eQPdQLt4mwEeEM+BEIjaRVGcBnrhJDJPW4Qzxp2h fV7zDazECzXK7UXHGeZXXRMZV1U31yF3aaVHi7FOA73L8UDcBnptHu3IEsTZPqJ43aH7kw2W 3PlyRy96mnPyfEkM9BVR2yrmc+3sha8aD3WBynkdpR0dKxroQpQcBcWOlI/Szh05EORZ+aIc u0P3x3Uu1qRLoXQ5dC3iOBLeEujVLkcd4MhPEqwQaLRbY1Ybj3K8JdCaS4U0Zu5MVyt2Nb0e PQ200TVkWHdoo6HJw1F92A4931I9N1ZuPpcXErfqkgOsiD6vJq9u9GbgLltSntybYoeuZB7D 4VCOb0APo7xQ0/majjbP4ebPLmTpQ5sFwReuzBSAgkwvVrQWaHymtmqxzEBTACXzLAVHIqym RQu6ykmjFY2xbNC5A2u6Ll3bUh9JV7W/t7BFx7516DOA9gBAu5jmTcDNkQyJmBrZoEhPBGir rorjNc3klwX6Wo8CY+kcVuMyOzQCiNOGTM3Oh+Ybzd+qr9J45P1bh0ZnVBRw7pTcK1TaOFrT ovrofCvQaL42D25dCdzZx2fB/v4xfdRPr96z5iH+2CNHVCxaNBp/5/zq2lf6qmvPqBvKsYEm LiPDMooSidFAr/9zlQto7a04UrjI3JU+FLcy0Oi4U0E70oj8R89Rji6g0aJXfo4Mq5xbFe07 daDYDfTFjhyrDYWKfdRm3KkDxW6gbwo0dyzTAK85UnDQcfOe8DGf2EhaGmhNlW4GNYUCQTLs mcdZLqfcvBXgUZgf8/t7OSYXtQV27JXtUzTaM4CeE0HxBrw0eTQPjV89b6BvBPRvByPfcqTZ aZrNMmJz8SjYDbTG9aQx2uIlLZcaBmlHzzWv/OiRY95U3JEm0p37yMFU0Fv0VDKdwZB274WQ g5ADj+vE3LHDcinU5PRyDHJ699HTkImVk7d00NUxYWeOWn/ROO55n6GFyiEzdxY8GlvSzgKQ +B10Wt0ab9EYMUetiDuOQ6ZW9mQFNb0YckcR6ROKaM6aSynyffkWigrs+e1AJQf+A8QLBTQl xEmJAAAAAElFTkSuQmCC</item> <item item-id="23">iVBORw0KGgoAAAANSUhEUgAAAGEAAAARCAYAAADNJMJiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AUlJREFUWEftVosKhDAM8/7/o+9UFGpN2mzznMIGB4f2taRN/XznM43TF4GFhHH6IjD1TT+y r0o0YOiPwCtImAV72Vvrzx72XLGJfNW4V9H3eBIQ8NvHxIkQD0qtr/dDcTObEoJeS0IGOAJh B46Rs5OrAKzYqEQcSLBFsoKjwMhfLUSNy+wUUBQS9vhZPPveS6WVMySjpwaySa2D/5+BiXSU XQQVWXLplilQpQzZ+V2jxMrudfo68uyqXcHslAIycu1FI1KzONFSV+Iy/6whFAygHHmGlUBK V6CpQxOEOq6F6Kj+1nfIP7sTlaMI+BIS2DRlnapqfem0RvXUEnAFVodGU3eCQoRdfIq9Sgzb N363+GlhC5ItS7WDvZ2Nx3KGHx4qEIrdlcAr+Z5ow+RpkHAjW38nAY1azfjdiEmXVEwm6d7r UuVIekDgBy5t1FRsi4DEAAAAAElFTkSuQmCC</item> <item item-id="24">iVBORw0KGgoAAAANSUhEUgAAABAAAAARCAYAAADUryzEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AHRJREFUOE+1k4sKwCAIRev/P7oXKmbeKERhbMx1drpztY0qkZqASJXI4mWfBhixXNmzvw7v KW4igoYfAG4iA3v/C6Dhcq01NzUnA7u1LYNDDQDsC2ULkiqnS2dkSBOM58AL0bOEHxvloU1z J/F1xPP+hVeDDkcfi6DURpzhAAAAAElFTkSuQmCC</item> <item item-id="25">iVBORw0KGgoAAAANSUhEUgAAADkAAAARCAYAAABn5wTeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AORJREFUWEflVtsOhTAI0///6OMlLmGspYqXeOaeNHMthcIcf/Mael+LyN7X0LvA1amfFTm3 6K3aF3zLUd4Vr9pnQTdqClAWUGXH46r3gucTo3jsfiVyL+ERgooMOOQIZzbxKZEZMusQb9Uo EbaCKCEoFmv/9dkT+A+iqjVgrtcQtrXfdkdXFCwBqI89FsNLVTJjV2bLyK5qDw0sWG1llSsr ibiUEBZf1DJe/GPT9Wwlm8DNEIt6nP4MqMGi9ul9tfUsGyDREKH95iY2nBOZ/nrzGZioNwec ie0TIoutK9tmsvVvZyZILLT1EdB8rAAAAABJRU5ErkJggg==</item> <item item-id="26">iVBORw0KGgoAAAANSUhEUgAAADgAAAARCAYAAACIJW/gAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AM1JREFUSEvtVkEOgCAM0/8/WoWIGaOjE01QdIkXAdeu3XBetphGjkBw5JhGJhfd+RPsXIFt PIQZER8Z1nsNNzulP9KZGyS1D8WCrIX10QQLNXYVkZqUoFfy9KGURNqn5oCr7pDnGUHJpUlB XQwvyWSvDADoL6Scl6De10RQ90Et+Z19LF2jB450VobH2siAWaSYFZF67AxqC4b7yIM2ehK2 EmSFq617FczURHcLA8F6EBXIUzSr987cgwU2Rubt69/9VbOGQYvVerpgeAVXt9iw+TFn6SUA AAAASUVORK5CYII=</item> <item item-id="27">iVBORw0KGgoAAAANSUhEUgAAAE4AAAAZCAYAAACfIRhSAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AUxJREFUWEftmIEOwyAIRLv//+itNdVRCtRTtmzNNVnWGEV8HqB9PNdn4YMT2MDxwQks+BCO KFFKDGMECK6T25oEt1pQflQcAE12LQA7x7KbIEBwg3IgOIIbJDAwjMVhAhqrKgCvKm2/or6r qj6nADbDrp7dzPYsXz070tf2rs8nmU7IXao7Jf/rXC1v7IdLpF3Pkel/ZOtwjst24tPgrE34 OXCjUC01ZQHV4OSVqOUicVXy1iB99NSvNwRWnBnvKsROkzghiISkl1KuwlzPYfl2uIPK+2iw LhgcGgrfUJylJE/VUY61FOwWDLQ4IIrLCskeCB48Hb4WCH3UuFLp6Rw3mseiMm5tTBbQSCHI WqbAeeeqHvph2VbfsaQ9Sw2eH1a7brNyVc+6ohznFhQ0Z/1L/568N7OW236PI7gJWehCNmHq NPS2isuEZNl6AeZN3pAIiRlGAAAAAElFTkSuQmCC</item> <item item-id="28">iVBORw0KGgoAAAANSUhEUgAAAC4AAAARCAYAAACilZ5PAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA ALhJREFUSEvtleEOgCAIhO39H7rUZUNEOE1rbrK59QPs4zjqOH24FSOArxhuRejokg1eUcCv T9iheGqB5PDaqYpzWAkeyZEangpeqKSonnK1ydD7MvBUhCjTsxsIFM2hPJztAUd9RvPQmvtf YfbKoeluFM+Z/MAozbcrS2rVan4vmmoF71G81SKS31+DW6ppC1lrQPI1t1cV3PIropoEzSfE 1ZQmmKBhj7eq+Wf+p9/xkY1u8JFqInddT+Z7E6TotS0AAAAASUVORK5CYII=</item> <item item-id="29">iVBORw0KGgoAAAANSUhEUgAAAFUAAAAtCAYAAADfhCf2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AalJREFUaEPtmokOgyAQRO3/f3RvDUVgD2Ztuw5JExtghMcAC/FyvaeFCUvgAZUJS2DBylHt OfOJAU+AUF97yvZDICbUN8UHWFTCKaFa9CUdQg0AT6iEGkAgQJJOJdQAAgGSdCoYalicWgrX z8g+WDuAdBCyHyOtLU4tG997nm1UDUgCtuZL5Wbbha7fDP6P6sToPdYBQIOZ0XNDRYAn1M7Q 9dZiaaSlQWnpSpq/ku926mwHpOk9ym/ljTbaI/O696mSi0qgHqdq9CXos4MaWf9wp1oiizS7 vzaO1LitdoNnnfS8J9KFGm3ep2ooGcsQqhGYpjihDihpl8LdMqchf8YyM9EHnap0jGXDJFRC VRIIKEangqFagHaPqeA2/bWcFSihCsNtOVJ/3If8tY0CG+85Uq/NSbX7e6ZqxLgQagDVNFCt R8ryWnH2irGunwbqc9dVfg5ZD8D636KxrZ+Nb1tPCbWGZ93lpXsBQq0crnX7RwhVzZCUUDVg eu7U1N1d9WWHqoEirakajdOsqQHRkUsy1fR3EQiolBZq65hZhk4BLDfJtFAjoUnaN9Sq/Ap5 DfZCAAAAAElFTkSuQmCC</item> <item item-id="30">iVBORw0KGgoAAAANSUhEUgAAAEEAAAARCAYAAACCecGyAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA APJJREFUWEftVkEOwyAM6/7/6A3WUaWWg0OEehggVWrX1CRObPZ6l3WsvioJq69jdQK+Stgk GBKKLVRvoNcMoix2BK/G42oY7fcIJn7z88Crztsk2E29+0jyLAYLYgXa77zEMab3rN7daowk nS3edkwlhbGjjegRq0ilnqA6lSGlYSpsjLPPqlAvL7b3lEnI+EeUgKZbq19vqmysIgFxL8wn 5OBtHtF4xE9UDJPW45OgkkTHximLkNWTKNt/CgkjvhAhgR2HbNQzpxiTYZcE24WRQlWsh+v5 BBaLDs88yZN26nRQBf3b+/23uXR0k7BJOIX9AUmsoSUFsNXBAAAAAElFTkSuQmCC</item> <item item-id="31">iVBORw0KGgoAAAANSUhEUgAAADkAAAARCAYAAABn5wTeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AOJJREFUWEflVgEKgzAQc/9/9KZi4UyTu5qxgbUguFXTJM1dfb3Xscw+NpGzj2V2gXtSHyty LdGfaN9w2xUXUP8jCZdXp6YBuYDKHcRT66h1mTmjO3ESqYiMgmXPfSvyOAUsKpZIZ5ddkXEH GQbjEuO/36vaGIlHB3bUHLPbERnfQT4419akRqDI7LeVlfASmsIiqMjjswxL4Vlxja6x3azM uCJEmZ6VDHbrv3XXLE4jQjri4ZjLTJMfA1VjqeZVTVbHQ9ZEZBThTKd9oorW3eapUXcTUfF9 hMgW61NsK2dmmP8ALRW09Wm7Uk0AAAAASUVORK5CYII=</item> <item item-id="32">iVBORw0KGgoAAAANSUhEUgAAAD4AAAARCAYAAACFOx+nAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AMxJREFUWEftluEOgCAIhOv9H7qs5YYXJ4xcusytP7qE7w6odUtrmXEd4DOuZUbos8p/8IEV SCPolt2xlx95yPbxguJGLUBvPRgcwl5Duki3xjM8uAcoAyKoC9xbIllSGYwF1lyJVJAF5AWX jCHHUSRZjla7FMFJn976EXqcCVETSJ6dOURdwYuwEiLOsndaOI6z4nXwXo5LY6jjVrniwGHu t3K9leMFvPYNtBK2elwTziOmFpcN3af7/5+b5fLXzqnjbAhFS3Y04aYt9R1pYP+45X18ZgAA AABJRU5ErkJggg==</item> <item item-id="33">iVBORw0KGgoAAAANSUhEUgAAADYAAAARCAYAAACW7F9TAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AMhJREFUSEvtlVESgCAIRO3+hy5ttEFU3ER+KGf6yCngsYseZ1zB40pgHlfwCHW78AdjHYhj adqTFL88NNFonxdTVYcW20u4k5LXUd5H+73cS2D5JN3JIsZSgaESlwpoMklp1AUjMvr/TDHK oFJMStp4nswM2kRueQmM16IC40Nt5U3Eik0TVoub2WKHYj3bz+p93ND7EJmLt2AaNVHFaCMa KyJQVYA8O8jwo3DVIcDuS/R+s71lURKD774Hxu2AHtEGzV8K6VaxCzOFRmQHdm0hAAAAAElF TkSuQmCC</item> <item item-id="34">iVBORw0KGgoAAAANSUhEUgAAACAAAAARCAYAAAC8XK78AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AKdJREFUSEvNVAEKgCAQs/8/ulTymGtXCsolBCLXbW47jzOvFLkKgciVIsGr+r8jkONQMlG/ Ox/GsZ2tJN0pwABIZCUo9jIC3u123HqKQFcMtrBNrJZSD221fQNQN8U8KABFzssNZ6vVTVmg MsKA1pjC7Na9KfA1BWpSFJCHUVXxZFQ/eTbxhGCdt39YgICuX/A+jCjH4DK4u+Z7tO//nuJR 5qvqwhW4APqVEFQb1zbjAAAAAElFTkSuQmCC</item> <item item-id="35">iVBORw0KGgoAAAANSUhEUgAAAMAAAAAtCAYAAAD4BmRbAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A2VJREFUeF7tnOuW2yAMhNv3f+h2s423hACaEUK2yeSc/qlBl08aROvs/v7z9fmljwh8KoGH AFZ+vrg+BPbyZ6U/2b4ngVafPP5u9We5h4wkVkOS/XMIZPSOBHBObeUVICABgJCO8Qks15Ib EZAAjGLVgDKA3ah/bh9qRj23ugJlALt9V90ogYx6SgA3aohPC1UCICueAYwMScsnCGTUc5sJ kAFropba6iCQUdMtBJABylE/bZkkkFHX2wughJQBbLKm2k4QyKjnLQTQA3GVr1l4CuXZQ/SO e2nJ1G2k2tjKFckfWTMb42kCQJM76yXXyviu+v6CiSuCj2XDej7b/I/9lxfAd5CBX4pCbaHr 2Pi8p2FEsVkbIwZRfKJ8sLkd60MEcCSBFpcds6V9BnwLCrJ/VXw9PsyUa7FAcvI0SM9uNJ+R H0/czJ5pAVgwIpKrG2Sm4OhedN0xAcr1bM6or5p1yQW1gTaHZc96Xvqx6sfyQnNA1k0LoHUF mGkG5NRm4JcNWjaQdeoyPuq1vfwjCu2xzeT9czWorp2jHK1Gs/ZGcLFi6D1fIoBa/UhTjxKw ADLJo42NrrMOgJUskIOGYdNr/tX1+2gBII12pgAi47MKzfpaIQDU5rGOjTniwPCIetkEKMcr c1JYV5DaluUHhYIUrHWvt+wj8Y0EgMRV+ygZsjx7taqvS93Gef6Yq8WlnCq9GK2DAfXhWfdz BWrdE6OgegLbdQ/S6LvmzhyQrUkRxeVlyrXufegYRAJSwd8pick/JhYH6znSf62bROm7+Y/g SMetyTK63qAj2JO8d8+K6WhdhxBu3nyi93n41Pn3bETG2vTJjqXIgGRLBGYIsKKRAGZoa+/l CHgE8LaHmQDo2BqNRD17/0VhYjJmEqU8TYAokrJzCQKeCVAG/r2fmQCXyFpBiMCTACuAl//9 eX7V400ApVGRFoEdCTTfA+yYqHISAYtAyJfhLCd6LgJXJSABJFVGV8sk0KQbCYAENrM88g37 TBza+5+ABJDYDRJAImzQlQQAgopYJgFEUIy1IQHE8hxakwASYYOuJAAQVMQyCSCCYqwNCSCW pyZAIs8IVxJABEXQhiYACCpxmQSQBFvvAZJAk24kABKYlu9FQALYq57KhiQgAZDAtHwvAhLA XvVUNiSBvzaxLbFtNDzdAAAAAElFTkSuQmCC</item> <item item-id="36">iVBORw0KGgoAAAANSUhEUgAAAGsAAAARCAYAAADaBlKrAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AWxJREFUWEftV+0OgzAIdO//0JsaaxjycdA626xN9mMbULiDQ1/v9SzzjIHARtY8YyCwjJHm zHJXwAnDOAicZK2ive2uy6eUsv2XOZJfD7GsWiwcqB+1Q37P4PcVl19ifY9eVoppcYcUq7aR tHp4MyENV2wQ3yiOZ50tyZGSoMkjRXsdjwKcBYT7oSrwKFlWh9DENAJ48pZdBpBa4lEyo7nt DwLHykB8NSkVG1/TWj4RnCBtYiw/b/I8ALkURiRH2kMomEhemYn0VOcSU5NBZLKknaH5acAg gGm7KUKWB3hNI6E1S3ah+tGdZXUB8t/TZGUmCwHSaxg0BmR3J1kcIKt7oWTZ64MHVGaaUDzo brL2lFVXWgatRWd1peRHd0tJyJoshCgqhTR+BNwIeZ4SSJggOWrPCEhuuTddJLJgEyElesWd saO53GX/U7K4dLQq6h+I2rFrBVgkjieJlsRkHpEjufVs+whZPQPSc24fX3QxItxEJB0AAAAA SUVORK5CYII=</item> <item item-id="37">iVBORw0KGgoAAAANSUhEUgAAABAAAAARCAYAAADUryzEAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AHFJREFUOE+1UgEKwCAQav9/9FbHLpyc1JAOggpPze66ezWnBoFTzWkO98cIeiwl97jPJR0g AFmYNHAsk6DKgU3wfnloTiFlUWWAzZ8MKntVivzEmQGmy0kn0VYGCszW8ywHCdV4v5yDP9N5 bpR3XdgOHjTdi6CB/DW7AAAAAElFTkSuQmCC</item> <item item-id="38">iVBORw0KGgoAAAANSUhEUgAAAEQAAAARCAYAAABkUAr2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AQZJREFUWEftltsOwzAIQ7v//+j1omZNPENMRx5WJdIeplJiDmD19d7OMs9FYAcyz0VgmTBa AhMITEQqkG0RUwduz1d+LDE+s+IjunIrSMSBRdz97wGlkBNrSE3lAVA6Xsco8UV8MyHlxZpq KJmxMpEcH2GQq9Z2fioc62QdC4i3ZsezWgCCQBHeCCijWe+44g/1faxZBQzqsqZLWTs6IXiR 2mE1Tt0tBMgAsDtZ4XIc68IoIJEJUXRFAVlQms1QLlY7r8apE6IU7HkF86Oe2coe0ivW84Te u8o3Bjaua46n4aIu5pPN5Ea69bRYukJPKzJSz89ALFO8sxIR4SNjv2oaedk/5l4BhSgksDBV lo4AAAAASUVORK5CYII=</item> <item item-id="39">iVBORw0KGgoAAAANSUhEUgAAAFMAAAARCAYAAAChIpBnAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AR5JREFUWEftl+sOwyAIhbv3f+itNdVQxuVgsZmLJv1Roww+DtC93vva1sohcMBcK4fAlmNm WSkVvjDkEbjA3BtHnuUBlrh/0vuxRx/qhrZ/zo1yr64eFu12/aEBDFJMcv8kfxHYkjNaUqKO T6HMGqwHi6tQUiUHpCnwljKr1CXJIxnylN3jHC+5OzCl8qVJsmzT2KQ7bc/KHgog0mt4T4sk IQOmJRopDr7HwV7geqWBqJKqGU0AYteD11uiSNvQkqwJp5zPgDlKmZ6KR8OkKrbaRBPT0zAR RWpnPKUinzVW4i3VhWBSFfSULVcROjUjcK3+ZYHksUlzAumNGiNRmZHA1tlvAr/9l2eyjEEw tUGQObkn4ya6C8H8h0CfiOEDYbSTa5QSz/AAAAAASUVORK5CYII=</item> <item item-id="40">iVBORw0KGgoAAAANSUhEUgAAADkAAAARCAYAAABn5wTeAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AMhJREFUWEftld0OwBAMhe39H3pDWKrrX8zMTJNdDKGn5yvb7sPNHkHk7OFmFxhJXSI7V8Bf DeF+iB8V3Bw1DvcYxkksTPvPRaAKgkV/QqTkLAeb6KSGRM2BFuo55/L4xZ2EtJTv6TZMoFAP +oIbl/oG9hdXGO7s9HbHaas4Ce8CVy4xS5IWt6Q1mpO4B7WeZXFtgSIulHRbWp2k1jURaUH3 rnuviKR6AGIiYVuLNC4m5TykAxfGsn6YJ6QlFXivJfLJ6vbc+xdOHkR78Lmgrt1TAAAAAElF TkSuQmCC</item> <item item-id="41">iVBORw0KGgoAAAANSUhEUgAAAGUAAAARCAYAAADEz2IYAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AWhJREFUWEftV4sOg0AIc///0fMRNYyjUNCZSzwTk+lOrrRQ9PNdjmkcfTGwijKOvhiY+oIz 0GzONWjoj4EfURZjLSNcnz3OfU5tseR9vebYTK8pg3AeRHtrjAizhdXaTnIgecjkdKqgg6WC KDEjYFJ8qxCuFAciSt7X8dlrdp0WMMNlY18VMtAzEfFRFVWwsMlrbN5eXh5Xc0R4TfvKdA1D HgLPkuFVOSuErF6mm9D6A7OVk8UbKgAZR8dsRGHUj0jS/o1mRkUUNIeYQorWsFZq2VhUeJY4 SBh30Ge7AIkVAc5UbrYzMrGjmSEtN2NrkdiNYJkBWE0Qift0p2QtLBLJsjI9KzNrzje/q6Kg gR3ZIAIbvQD8q1OiarZwVQi3CgN2ijcHGCK8uaH/Q54ceX5VMAabztHrbgun5u+s+v37TV/L GM1vhvCx5lkG6p/wz+J81W6UKJb9MFbzKiZvTJYS5cb9RiiCgRnliVjeJgIP+AAAAABJRU5E rkJggg==</item> <item item-id="42">iVBORw0KGgoAAAANSUhEUgAAADsAAAARCAYAAABjEtTjAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AN1JREFUWEflllsOhSAMRHX/i1YkYkqdtlDwkZTED28uMqczra5bWkuUdcBGWUsU0JzgkLCp bY/ezdfXS9KiaWzRX5H9BZQWu2ji2qx7ZNjvYLlIyQD6e2siTVgUD1ptLQ0zktICWwqE/kv1 q7C8euc7+dbbFlR1YMds6AFFwDf3UX/QjVK1tH2zBtwM2Aq4RTTvid7h4HHWA1qSh/o+a7Cc leKBIv6Eo9I5vYmrYKVBhCbdkwMKpYDPCqoJ6eZteOn1uGENJM8z39jj+lwKA6vF5g13Rs5w OTty4Jd7d4piQHgDkHGwAAAAAElFTkSuQmCC</item> <item item-id="43">iVBORw0KGgoAAAANSUhEUgAAAG4AAAARCAYAAAA8L5nvAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AW5JREFUWEftl1EOwyAMQ7f7H3prq1EFy0mcrqpAon+lEZhnnLH3Z3te65mPwG7ceuYj8JpP 8lJ8dMmFYU4Cwxi3/cg8QnBfx67V3r0xpZ4Jz/aD61U3/wwtooqBqoqv1iNM7706jjrQ7Oh7 VuvtcQjjfjfbqg+l+iwBnoYoGdGc3rc2fmvi2KQRHe+0sHE7t9eeGrwrQDKd2dwZ6Da/yiib zzPOskNm9nCdiWMwFRh4UpmgyCgLpHIK7ZyZdjxIrBVmoC2Lu9PrpRBN7IysCkLQXroUWNHa Chy1VzKjlAsF03A1cZGGqHNh0s/O8Y9x2eajBGUwM+OqiVP2WdUUafRSjbq79gc367CdKhu6 apBinHeCM+PUtLFLh9oWq0ZWWEameCnruh1rfSqUKOJZIlj/7no4/N9im1F12osJArM6FfBK vVfD5sdaxg0vVkdNZfOrdhwCy7hxvCgpcY3zWt2dvz0lpau4I7ASN+mB+AK3x37UinodWAAA AABJRU5ErkJggg==</item> <item item-id="44">iVBORw0KGgoAAAANSUhEUgAAAIMAAAA1CAYAAABiDlgOAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AtRJREFUeF7tW+1SxDAI1Pd/aPVurmeMLAGS5nM74w8rSWDZwiatn18/1wcvIvBA4EEGXkTg WRQIAxG4ECAZyIU3AiTDgWR4qIPrJw2fZDiMDLlMTH8nGQ4jQx4uyXA4Ad6CMdtMsjIcSgxq hkMTr4XNNkFS/G4nk1bBNnE4MVgZNiBA9E1Cesbwb5u5AS7HhSCJvxYgsE20QHHAHNHKoIrJ AXFwyQYI/On1r+Pl55vHlyBMq4eVOKwMDRIzYoo06ekhUk4CyQ75SzKMyGSDNZFuyCsGOm2U XCAZGiRmxBToiScZRmRj8JqWpCMbtonByWu5fP49Qn52gERkSUgu2yZKgdWCDz8AQR+GgPu5 uENir3S/Nh7L+GXIgLZSliC9NugDEO99JN6i83jj8NovSYZ0P+0NOGJfEmsoucjPJchQOrDI tzPeY1FtO6QBJJVsyVdxu1T53wCaCJP+hu5Z5tFIFSGxd8y7MiBRkrM76rBH/WrJ13qwFrwk skq6QyJ/ukYJCzR+qcqgEaAEANy2JAJLmqMF8N4nwWov6RVLor1Jt2CLSF17/5lzxHTLk+zp 3egpjK5jAS6PTQLMQgjJ95qy7yWJxccWNlVkkMq5Vhkkde0lw2XvJUMNWKW1vMn12tf47hlr 1gxSqfRUhssWPWWlnp6W5ZyEGilRRfLoC6RTUOW5474nqVHbZbaW0QA5zo4AyWDHanvLZmTQ 1Oz2KE4coEvXTRwHXatEoCR88+mbVYZKvzm8AwIlMU0ydEjCLEuQDLNkYgI/SIYJkjCDCyUi PM+BZnCUPtyLgIUIJMO9OZhidu0dCncTU6SojxPeF3NsE33yssQqJMMSaerjJMnQB+cuq3iO niWHSIYuabp/EY9QRN6QDPfnqcsK6fce0QVJhihyk46rIQXJMGlSvW6xTXgR29i+VjzyBHJj ckRCY5uIoLbpGJJh08RGwiIZIqhtOuYbP4PMwKHoIBgAAAAASUVORK5CYII=</item> <item item-id="45">iVBORw0KGgoAAAANSUhEUgAAAG0AAAARCAYAAADXGCLsAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AThJREFUWEftV1sSgzAItPc/dKuOcSjyWBhTyTT+tYNksw8SX+/1WeYzFgObaPMZi4FlLLgT 7T4ZJw3jMVBStPWAGY/JToglLsqxs4H8Z9Ho3jUuyol23GY7+fa7bUVzcExu0loBuhkvFWgf rhDFEe3hYaJrob3v4kXCxvfKayQuzqS14uhGkGTQ3sg6GnAvfny0ROq1WgSvZgQNjyRU6yEl 7TIyM86jC0Sc7ZFoAY+8a2HSDGSZFTVyM7AmtPS/JJKlyd4jK1rE1ZmkZXBFMCETQjORZSBN YC91qGF/JhqaEhS4NcoiRKMJQuu4ERChtKTREcoNnD7TvFEQcfIFFLn2Z84U9B1EDLSXtAfp guVNHTra+drn72gKZv3zDJT8TnueltoIVNEyt6zeW62AqQSG3kTP/vcz8AHNouZsZ9bEYQAA AABJRU5ErkJggg==</item> <item item-id="46">iVBORw0KGgoAAAANSUhEUgAAAGUAAAAZCAYAAAAonOB1AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AXlJREFUaEPtmOsOwjAIhfX9H1q3xSrruBwQFxbpHxPXUjgf0K33xzJuPWopsELpUUuBWy13 2putc7UM9RRoKAlMlgMpwcrHRK61VNeuYWwF0lAKsRowGkpDKaRAMVdodXSlFIAzQ2goRaCM A57+ZrnWb18JSv5NpUiBapnJrfFkcnS9BiUCrGSlSO/+Wi/n1nh6/7fruYKLfsOUg6K9+1si W1npfW7th3Q+a08WJv3T+zEUzQQtGMsHDzQuNmTvMScbCtWLxjHH9K4UT+/dbjLJfQ/S/xH7 iM15b0R4NHksCKGsf+k0xzYD2kFCgpKyCxEaKXFOaA20BMYSzYKeAYWzwfkl+bJpGoViBTiE o+C0jOXmeUXyQJEOZk0Py75mU4vlUEW/hIJWCSIQUk2WaN7nVlIg8WkVwZ1du0qJtKI5uxEn 0TlqeTPX5Zz/Hv+k+CO6ULG5s2O2eZiDitTzzlOg3HfKeaHX3UmEIh28Vl+uG+p1POtKKcjq CTqHTKH8acdtAAAAAElFTkSuQmCC</item> <item item-id="47">iVBORw0KGgoAAAANSUhEUgAAAD4AAAAlCAYAAAAa0FocAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA ASJJREFUaEPtmNsSgzAIRO3/f3SrjunEKMIqIBPiSztKooddcvt852vKeC3gGa8pI/Tq8gGe LAND8WSCx6vxeWZdNSi/nCBLnDS27iuU1QuEFKSOk7Yp8KHAEaX/AJviqcDTKt4NOFrjpTRu teNGzV6fhxvcvBIdGry2cPv/aYIO4NyCAJ02nn6gVfsdODJKUmpYfah2v6Ti2spe2db72WE/ nlZxBFzbet79XVr9zO7aJeANHHaT4pWI0PO4ZRJeAY9QLu7g3ALJUuXXT2AQxZFYJGnuiqOn LAg45aazbWs34NQahLyP2EMrllPxzq6M2r1R7+pS8d0gth1Xt6J1CS6yvZZ9pf2g52NcWbTq Usvs9v4rikuTZBk3wC2zG7HvtIr/AMQBDsMS+8PIAAAAAElFTkSuQmCC</item> <item item-id="48">iVBORw0KGgoAAAANSUhEUgAAAFoAAAAZCAYAAACxZDnAAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AVxJREFUaEPtmEsOwyAMRNv7H7pNoiIRx2bGBLtSZDZdFPx5DBOS92cbrxrxBHbQNeIJvOJT VIbDNQpDDoECbXDeTHvpDqyNtrS0/wXbIRfoYP4NcIEu0MEEEsL3Ki5FBwGXYAt0IOj2EOx/ V6WrW8cTr3ej42ipyFrDqk5bz6xFtXqVnqZodDcdAdGaYjxUy3nXi1Ef1gakgEZ301Hx3g2Q jSKwzIahmIy6L6Bnd2yUDIFuay2opkqI1+Ro0D2vvk/Z8wk0c4/UnsysnzHqQWC86kLxmJqs nJKXhH4CrwVZpWrUJOO9CAQSB6oBxT8+cYqTY/Gxajnm982ioltSTdUWNHauZR8IhPd/BJ7y 2x/4UayL2r2gmUJmPVWDxtoSm3MlaKl2WtGaYu+AHfnpyb+Mz5L9aegVz1qbtl726O1PxrRO 7MWvvYlq/hyBlHv0XGnPWlWgk/azQCeB/gLkw3s6P9KVMAAAAABJRU5ErkJggg==</item> <item item-id="49">iVBORw0KGgoAAAANSUhEUgAAAFkAAAARCAYAAAC2AACuAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA ASdJREFUWEftltsOwyAMQ7v//+itFzEFFBMnga6a6NNWgY0PIfT13p9tPXMJHJDXM5fANld+ qZ+dYmGYT+DxkPdmWVFo/89HdDlkfB8NWQOcCZvdkKj3YyGjQNGgWcBlfsS/glwEGCE5tjee 0WoBjNazAB9+mmd5H2lZUvMLGQlqC9TGWjDlHMvrTsjSi/nN9OdWR61ka+c1Iwsyo8kcScvH s5klh7domMqu1iHDWwF6Y625nvC/qmSWBZNVFkyqktHx8lQtakdIwwro9WZaBFO5aIPO4qqI gwugBwJdGszR94K0erkXcJtdu4DRhWh5wXZhTWSPk0fHC3qEdkYjcpLC38kRM2+4Ozw8a4qu B0JGF1X73rPIyNhosIhXb05mHeFKHh3in/U+6+6bf4QiVc4AAAAASUVORK5CYII=</item> <item item-id="50">iVBORw0KGgoAAAANSUhEUgAAAGYAAAAZCAYAAADDq1t2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AXhJREFUaEPtmOkOg0AIhO37P3TrkW0QOWaRJpjin17KwnzMon2912Ppo54CG5g+6imw1Eup M9p3sZahpgINJonLOqSSIh1hcqOlpvacYBuUBlOM1wDSYBpMMQUKpkNd0o4pAoiDaDCFwIyh T1+z0uu7siQl/8oxWrFWh0pbDO9si4W0JuIIC0wEWlnHaM8G1t4uXTMzC+5eLwGPPuOUBDPz bDArvLdzefFC3R/4V+AEJiJItCOQ7QQRwROSrpMRD4nBa+O31VxnquH3txEE2Uetc5F5gKzB i0AAouIjonqgkRgaGAkQhXR6jxZldcH+p1vArndjSmtaDeKtJ9XhgdLmCtfVy/UC7ddgqEs8 x8yei4hCXe7NlywwiGP4WqlgZrYdRBSko62CLOeijvYcgsbRGl7TTAXjdbPVBZFkEVBSEZKr vDmJ5qdpMKuNtI3xWcJjjs+jucK3y2ixCIA+56pAgynaFSoYbRDz74vW9fi0wo55fOXFC/gA mOyjSni4Vx0AAAAASUVORK5CYII=</item> <item item-id="51">iVBORw0KGgoAAAANSUhEUgAAAM0AAAAtCAYAAAAN+O/rAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A6hJREFUeF7tnI1OBCEMhPX9H1rvzuwFa6GdAi6FucTEuPy0XztQ2IufX4/PBz8kQAJ+Ak/R 8EMCJOAn8OFvypYkQAKvyowYSIAEMAIUDcaLrQ8l8DjwPM/+Pz+HMqDbJOAm8BRK+aFo3OjY 8FQC1w5z+U/RnJoJ9BsmcO04FA2Mjh1OJpD6TCPrzJMDSd8xAj25k1Y0PU5jeNl6VwLRHEop mqizuwaffsUJoLmU8kyDOhnHuU7PE33upY8wq7V9C6R4P5Py9gyB0Qv+rv6lj/Kq8y6bVp+3 h1kkp9LcnkWcWz3Ymn1/XqSJF2sZfZptcy8zNLeOFI3cep9Bba1W6Ipfa6/9XSsDpC2XfWhw RybrzsxQrseJ5kpcTxKUSecFqyW8JspSCLU+mli8dowWTCl4+fu71pdfN3HuknczQ5mmEA3q lJUwSJBqCVGboxSlVjbI3cYqLaznlq/e59Lulp0efnKhaNmxAjMkxyiaYjW0VnxPAtbgRxPt v0Rj+eaxP2rrCswoGiMD0ASQJZ21amq7k2fOcnUuy8dImWiJAH3usV+2kbtVa3e+mxlF08gI KQBZn2uBR0qN1qG9VgK15tTsQwKMikNrfwIzhOm7PKuBQQYbEaBa0KzV3buqzbKR4+YmgOT5 rzNNtCadjavl0Ko2z2bC8ccSOEo0Eh3ifAS7p8SKjDujz2wWXpszMENYDd1prBIJMSx6+I3O 4U2ATO3Iwh8thNWfK+farY01fe12xTpYyrNU5Eyj3bxY9p7wHEmEE3hY52Ivg2GiKW+NRgfL O551vmmVCdme1QIcKYWy+R61dznR3L3TeIXlXU12aEcm/igirNRvBCADaKVRpH/PKoAI1o8x f8vRcchPpO4BwmqYaGR5phmBGOa9CNC26p2Di/gW5Y3MsUtbhNWR3z3bJdD0YxwBimYcS450 CIEpooncyozijTg0ak6OcxYBJMdYnp2VG/S2QoCiYWqQAEiAogGBoc0vwF7QV2mLzrNr+xV5 eGP5uiXOEhjEqZk+lWc7zzx8h/Sb0oo80NyiaDyZL9rAkJV/OBeYdpsu6MIz23E4nrMNGjU+ 6tioebVxEFtWXFlnsrHGXpEHEs9U5dnLWOe/BLIC1/scsWPFJOn1v6f/ajyQWF5+pynPVhFN pLSQ77h6km6Hvivx2F40qwhnh8SlD/HKJdVO894eFynTmHh5CUR2mJTlWRmiHqdHhlqWGpHy baQ9HMsm0Js7KXcaGwtbkMA8At84cqaoX1vrhgAAAABJRU5ErkJggg==</item> <item item-id="52">iVBORw0KGgoAAAANSUhEUgAAAFcAAAAlCAYAAAA3InWmAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AalJREFUaEPtmNuSgzAMQ7v//9Fd6DSMm/oihYTZHcQjKIl9KmzTn+d2PXStIbDD1bWGwGPN ttr1VRGEYR0BwS3YbsV4mP74yuEj/8/CHazgLvy9BPciuNbJDbp3r4WjsgDWXOvgBrQCLLgA XK809LAPt5oGKLgA3PdX7IdScCfUYgiidauci1GPamtVc49abGtF3/nOznlYCrGqT6JX2ud9 rNnaM+MVk9NHze0PvSoIL2AklkiTrb3SMH8WrufSzDVRbayaEeNEVjsV7kpXVG8R6mIPNgsN 1X+NYnYwRjfpA45AeDWygobCqGZRmwtyJpN7pJ0Gt0FY4d4KRgYWhe45PzIDcv/FI6ptVUJZ TZzpXCSOqvlVz2e41G3KSKdGDs8aCrK+iiODXMGrno/GV61zP38Rt0Qw7CtTHV51//71a3rk h4zimBUfkpv+W0AoDWoEdxAcsgyGm3VI5KA7amC4d4RzNmfBPUswWS+4A3DRiUNwSbjIGHiM jOTet5czn/dy7qBdEMiCS8JVWSCBMXK0me17yrkMWVIruCQwRi64DC1SK7gkMEb+C1CnggZp FDqZAAAAAElFTkSuQmCC</item> <item item-id="53">iVBORw0KGgoAAAANSUhEUgAAAM4AAAAtCAYAAADmz1ToAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A89JREFUeF7tmoFy7CAIRdv//+i+bvvsuCwKF81G9O5MZ7oNGjhwlZh+fn1/PvghARLACDyE ww8JkABG4AMzpzUJkMBPl0YMJEACOAEKB2fGEYcS+H4IepwH/P4cyoBhkwBE4CGW+kPhQPho fCqBstOU+CmcUyuBcYcIlJ2Hwgnh46CTCaR/xpF958nJZOwYgZHaSS2ckcAxxLTelUC0htIK JxrwrgXAuOIE0FpK+4yDBhpHus7IE2MepY8wa9n+iaR6f5P2VA0BMgr/rvF1jPIY9C6fVr/v CLNITaU6VYsEuHrCNf9eXraJl28ZY7ra51FmaG0dKxy5DT8S21u10JW/Za/9XWsJpC/FPzTB Mwt2Z2Yo1yOFU4rXUwh14XnhakWvCbMWQ2uMJhivH7NFU4te/v7X+8t/TXHulnczQ5mmEQ4a mFU0SKJaRdG6Ry1MrYWQu47VZljXrVi916XfPT89/ORi0fNjBWZIjVE4Sos2c/Vs7VjWDtPb 6ZAEe0XjsfOIJSryVkyee2oCjfiBcKVwnMKR7Z21emriQ4ugbiUjLaNHDIiNx39pI3et3i59 NzMKx6gGKYJW7y6fLyCw/8/+pSutdkgrOO0ZCBEwIgrL9gRmUH5rlWsFhExmwR+5bvlxV0GN xMSxaxGwauxp11+xl9Zw9oKK9LNrpYzerEDgOOFo7dCVifC0W1feH5kbKQZkXtQ2AzOE1dPh wMjKXT/IIruDNwFQUM53B957Z7ZDuGWOc4bvCKuXU7XWSU7PMe35wnKitQJ5Tl0sX2ZA3GUO Kw+7xDkjDoTVFOE8nB7ZrTxBe4Oy/Oi1DNmu9RaZyMKULf6Iv7MW3duEE0msJTCvuKx5drpO Jv5sIqzUF6DIBMWtIoT6u99l29Lyqb5u2dp328eCLPy5RFhNFU5p2d59OKDtXn5ce1sixbA3 CTs6hNW0f7lBbmqH8Gpx9fwRnzhmLwJIjVE4e+We0QwQuEQ43hOMAb+7Q5GgrvKB8+5NAKmx aTvO1UiRoK72hfPvSQCpMQpnzxpgVAECFE4AGjqkQPbArm099qgvGe3l64sVYkByk2bHKUfd qwD2Jr5+Niy+IwlaId7ZPqz4zg3NCYUTrAoEtLRFxgbdW36YtqDc6TSaEwonmC0ENIXzDJk7 TrDoRoYhBTtyH2ss4ods65Cxlh8Zr68mnEg+Uu04qzznoG0GDwde5V0zjBTuzAUjcv90wllF PEjiIolB5qdtnEA0NymFk0080eTEy4EjPQRG8pJWOCuJR7Ydre+eZNLmPQRGRPNTe+9xk3ch gb0I/APkFCwx4H+ImwAAAABJRU5ErkJggg==</item> <item item-id="54">iVBORw0KGgoAAAANSUhEUgAAAFgAAAAlCAYAAADGKS4rAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AbVJREFUaEPtmOsOwjAIhfX9H1qdsUtXoRygLJqd/TKT61dK6e6P13PjU0dgA8ynjsCtzjQt v7sDMdQSIGCA76tBA1KySFwz7PK/FDe4BFy8ZgR8IuC+oht46V0LiS0CWJwe5A7u0zosyAQM ApbaRP9O/Q3Yv7yIVMGfG/DOhoATZQJVajfKHeQTfi+h2g6wsddq71tl7/JW086MKCtWYExE sznG2etJsyxqN5vD4ZCTgsw6yOij8WgAe9+orUy8ku5PAx4Dnu0mz3/Z25lnEZYBluZBTyCW rNWqPID7tmj5zf7/NQdrI8nMkdTPtISl3ojAQ2TQ/jxrHVmgX7tO24ZWQtb29eojiVVUqTaC 9dOAVhTW+7eNswFHKhjZ0rMdY+0+ZHGjMuJVOVJ948ERsWElsbqCK2I0W0TbGlays8pfFfhY 7Vrv1GZaKQ5N1psvKr/sY88qqGjg/yJHwMUrBQO2Tswzh/diJkvNw4CXer2QMQIuXmwCDgJG pxECDgCe3f6gOTjg81IqngOdFZwoDQQ0AQcAs0UEoHlU0ANO/JrmcURZmwBbhM0oJUHAKXy2 MgHbjFIST7qCDogEqx6LAAAAAElFTkSuQmCC</item> <item item-id="55">iVBORw0KGgoAAAANSUhEUgAAAJEAAAARCAYAAADdaE77AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AbpJREFUaEPtWAGOwzAI6/7/6Lu1ulSIw+BAtGV3VJqmLgmJjWPQHl/P5+inGagwcIqon2ag wsBRWdxrm4GrkjUNzUCVgZKInmX07Keuz09vdX/LMTlnHFiPV4FY68e5MrF3x5bBtGKNxWla RDqYFoo1LgWkAVUSjgSUjbk7thViYGNILiwzSJczlBy94aw7ZJOOCMnEeye2zHlZMWTneWZw m4IMrstSJTlIUB5RTAJnyJB42AQx81Zis/iPMLJ50q2D5f5IJKjdsDi9y5nuATwgZl00+iMr ZkZEqI9C9orImxWIte/o/VZjkz1lxH2EGwkzEj+DSe99vVdugtfXRAeeLXXR7WTiZUWkE7wS m77xzGVmcKCLp/NticLThOVcLxERK9SIHEQ4W3aj+J4bIOGswsY60cy8DB5U3qQofwmRJcFz HWsDVPIQMCbBs24UEcKKz3Mijd3DHZ2f5YCdl3FQxNn43XUixkYtIaE6arkGstKIlGgclTJp 1bP49PlRedDlYCRudj/WYbJxkbgjd/c4vNdGt6PHm4GIgfSfjVHgHv8/DEARIZvLlJbd6PxL 2HbA0k60m8I/8DzftW6JOrEoqVgAAAAASUVORK5CYII=</item> <item item-id="56">iVBORw0KGgoAAAANSUhEUgAAAHcAAAAZCAYAAAALx7GgAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AchJREFUaEPtWe0SwjAI0/d/aD92bocckFDpOSv7o54tTRMC3Xa9Pa5LX2sy8BS3rzUZuKy5 rd7VVpGbhnUZaHFPpO2j8ZeiqY1WCu2/gj2FbXEX1HwXtcVtcWkGuizTVM0ZKN3azp3D8Vei ajFb3K/IMGfR/RClP6tW67JcxWRBnFM5V2bc6xn1tkUmI2dlq+bYI0xjl/MikplbFmt+tN6+ Nlo3mz/DzrX6RXQ4QAeH6qyVSYYE19iihEAEW+J/2luZhLJwDYnLbJ4Zg0hHREb/Z+4dGfIz yYfiZWIxrvZ4eBOXJYQB5zm1uvS4G3s9ystile1FE8s6aLa4EofUTOt3iMv0hCiL9Hz5G5Vk lJ06FiKZXc8S0hP3k5hIbKZCWcbzOD9aEnuQYMYxbp3t3CyRFh4UAwmdmY8qj0x8hFXjMssy yiRPILRpzymVzs24nNlHVKYzwjDmGDlDRIYaEpcpZ1GWoQxEyZX5nxEw67So+jDJgOabJ1/x OpCtkEM9V5cK3QMZ93g9OSMcM9YiwsJn7Um7DfX6o9cZr+90f2Swe5g8/BLf9j2zSI/9LQZa 3N/SK4XWFdcrrSP9IoWoB5cx0M4to/J8ge50F1jp1y7L5gAAAABJRU5ErkJggg==</item> <item item-id="57">iVBORw0KGgoAAAANSUhEUgAAAIgAAAAtCAYAAAB1ayMPAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A0FJREFUeF7tmYlywzAIRNP//+g2R5VRMMeuDieKyExn2hjLsDwDUn9+r59LflIBS4EbIPlJ BSwFLilNKuApkIAkH64CCUgCclDgOo7c5tLHT+qTCtQK3KB4+TvlSQUkIDUkWUGSD1WBAkkC koCYCuQM8jgk/GpEeuLbHpAe8VaiqjXOrQFpFW0lMLzdSRTH1jPIN8HBxGLZPmGozj8KQN/d gI3XhBE1etPOvv6yBf1PKOpDS9zbAdIiEpqAM+wOB1nkkM3Gn4AoWZUl92bivbnlWBoFxLLX vtfKv/Sl+IckH7HZ+iQ1EqgkCYGkZQjUkqsBWCfdukcDA4kPBfm+PmO8um0k3nMwq8o2klCZ YE+nGkCtXcgqErWU6LrmC6pDAgIMsTMAiZIWVQyvciHJR2y23MWgwiBQaDMJsn7L2hoQdQtk Wx3iZwLiVI+6zFu/y/5PiW5sT2X7kfOQ9kzNv8iX6Lo6pFrDGbWYOGipKdeCl+Rrgoyce5hY Rj7309ZidHgZUlsGHm2wQ6Zrr88yQx8jPiMMs+5qtowOQwCxHhhBEIHABIIkafR61rBptQrE xzNsGB2mAmINTwg4HjxMgOwAd0aC3v0MRr/DOYg1HXtBaQ/0ZppeQOq2Fs02Ccgxcx8BiKwA FhSes0wgyFsZrWe1hhW/Z19oy35aBfEAQd/q1oSawZL/2EKgW9Em0vUlP9agxQZutRlrl1MD FN3L+pKA+Iq9BZCScDl7aN8XG1lJtHtHAewNvaMAXGWdbkBWCZT1kxGGXXsle0aH/G/uSpkd 5OsUQLxJfpDf05dhhBnljLbdn9F2GX8ZHbKCMMqStjIRcvbSriNDPenGwTwBMRRkhJmVBOSQ cPbZEKNDVhCShCJuJHJ0Xe6qEHBG7cQQ356VjNRneXNGHBksug23EqnNI9axgCV0j/8tgG1V QVoE0iBB3hIrkValOKuCsIAlIEi2KxtUYBaQ2o2ZMwjq/7YtpreKMAJrtlGl8GYc5tka9y33 b1dBegBhZpB6u2rNGfX35XdZSVqeOXJ+2RKQHkjIjvQx5i3V467Tx0TwBkdaRXuDq12P7Ilz a0B6K4nWIrRW0ZXdzpt74Ni+gnRqv8XtfwFsxwEalMZYAAAAAElFTkSuQmCC</item> <item item-id="58">iVBORw0KGgoAAAANSUhEUgAAAGkAAAAlCAYAAABBGMctAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA Af1JREFUaEPtmOmygyAMhXvf/6F7W6c4KSY5AZWlnP7qKJDlyyZ/z9fvwd/YHnhD4m9sDzzG Vo/abZWObhjfA4TUiNGr6VVLqt9ZLXK9jW9AhDQBd0KaDJLMrARPe5bMYrlrBFjC2J3/KYMI FCE1hKSVPPnM/N9Ix+XFaJn0ue3ZfUNIncMklDFiTP9a31n3JcSnoSDvPdbzlGH7etTESkZH TagUKN/n53rvzpLM9dLO09bkOnk6n9XR2/81OGhKRIVbBsggkGdZ6W+tj+qRr4vYZK1Be0sC uFb/Lcgtx+VNzSVtXHkgEEjGHU5AE5alEwrCMxDQ3lshRTLHA3E1JOs8lDFeMF2to1qKrfJQ ItyKzlTTtb4UKWueU1G/0Oy6AxKqBihLIu8PH7P7RFFwaxsx3ip9LTOppJR5bcDre2gg0oLL e3boSdKIs5mUOyQCEjV9mX2lmeRlLip3yBfofSRb3J6v1sCCLIoa7zXsSDM/a2hUTy3bWmf7 IVivgoT6Dor8/P2VUOTZ3jAjeyiCqq29SucQpLuE8dw6D/AWvM5vTXeFIaEJpKnWiwkLQ1rM L0OZS0hD4dCVIaSOkKypk9NdRyje+F/8MTuIHT+tRsl3Fstd51CIwCKkTpCsC2f1BqiTjsuL jQ4N23Xb8t6awAGEREgTeGACFZlJE0D6BydI6B4BuPBLAAAAAElFTkSuQmCC</item> <item item-id="59">iVBORw0KGgoAAAANSUhEUgAAAG0AAAARCAYAAADXGCLsAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AUlJREFUWEftVgsOgzAIdfc/9KZmTRChwJM2NsFkWeba8j58+vnuz1bPWgocptWzlgLbWnAL 7dkZS4b1FOiatjf6k9Hx3T7S7wzaGTGkMzhevqZhp+8b77fw4jhU06hJjTjdnEmMCofG4Hgi +CUumfwkbE8SwlVpbzdNE5i+96y5ZfS/0zwReIR2N9N4G0SqAM1SNCM98TQDe3s953oMRXlR wy++aO2Itxd+gBcsnxWWEHSOemJImWzNYU8Faud6MWlVa/Hnfkht/lJpVkYggkZJIjE8rS+z 0qREtMxAeGmtdahps8hFTfNediwjIgk5xTQquJdkhERvLSKWtMdqgz0hEQwWf+RMsz3SWdCb FSPAZSQGr2x6ibJmq7bX4hr5HzXt5kskaK2dr4DYQebDqIgRBZY2TbvUIC0nItrotT1e6r1i NKg6P1+BH6DUuZm0YgSiAAAAAElFTkSuQmCC</item> <item item-id="60">iVBORw0KGgoAAAANSUhEUgAAAEwAAAAlCAYAAADobA+5AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AW1JREFUaEPtmOEOgyAMhLf3f+hNiZqma+FODNvk/DdzSPm4lrLna3keenACKzA9OIEHLpWy ZKMwcASmBLYULI6SUZ8feXrK7w5cYQkYuQcC1gHMOm4HGb3bp5guJbe+s6zfOm2H1II2LbAo LT3Aw1XmkJgWmHdY5DgB2whATrKumtlhWa1q1bCjttUOGF8As9/kIUXJ/UKywT2tAhNQWsN8 g+cDGhEgOmdvM3oJsFoRjAomMymqRYGNiie8fGdNGxM8CqSlY+Yc4fgPYFEjZxdla1ir9tna czZl/gpYrU+5cjcjsNnG1OZtNaL7erL5kPdVh/UAq0FopWHk6KiB9N+5chOr2ZMFmB3nowJr deI/AczaNjt5RgLzacRuLuNmVDvlXRKFE+kEjKQnYAJGEiDlcpiAkQQ2OfyvyLnP32uUvxLC jeu9MOCrYe66qmGGKwJOwBZgSkk8G4sSLfhFS357ermAkRYQMAEjCZDyN0sTopE0i3idAAAA AElFTkSuQmCC</item> <item item-id="61">iVBORw0KGgoAAAANSUhEUgAAALQAAAAlCAYAAADr98PUAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A4dJREFUeF7tXIFOQzEI1P//aHXZahijPUrhlW4sMU5focdxZdBEv3/+Xl/1KgbehYGboOsl M/CX42OpeWfso9jOzViw1N5ZEMHUubhH/Peel6AF+hGZLhkLcnIydk4JikV6XoJmLCISg3To 4vYK7G2P2/f29ZjDnn52Ceg+3w1d8ecl6BK0WntUwE3E1BiJT70RWYh8lqAHrCLyLAm5yuYq 7HSfFzEFDdEotidMVxF+wj6IuMwxRGLnrUXjoQSdWRGKfi0z/ChB84rcE3HU/lJrMxoeq4d+ sBOZkOiDEIkdVWE6JEbGiWL8xxEJ4iTfiLDMsURiL0FnznwNhNPZkVoOJPLpTRQG6NBWha7r OoWM7kt6Q2FvOFQ7nlhYghbIGpGCCNMMJxP5cV2qwe664QZnKMaq0JMVmlapDfkcbomSnQ2v BQ+KsQQ9Keiq0BYZ+tmYBE2vYCzXMZK9FBIC16PBC58VkxX3KK288vN+ledB+qSIwOUnRR9P KMaXCt2IsoqG22sqGrWR7CkVXvjQYUHi80nP3QtNkvSe5wKt98SWzde0oDUEoyD5pggE8sef rya0Z685fJo1Mwe0+esdZMTlKBaJtx62TL9fKSYvFXqHoC0CaEHPJFSyGR2WlSo+c0hHB95T 0DOYsq5FxTFM0BahaUn0rNDZBD1qOWg1XznQWp4zrpsWNOpRkUNa4Zsvz0q3ik/To6OPPBSX RQjcJ/2Zv5eErWmFLLiy2SD9iRV6NQi06ar/SPvs2Gfak0iedvlG+SlBs8wgwnYl0qv/341/ dX+UH5OgtRPxKnir/Qgf8okIQ/aRz1fbpUhs9MBFtGSaA/3U7l4R7Al7ZBY04i8L9kgcyLep QiNiT36OCMscWxbskTiQ7xL0YT00uoHRHjipLdPYorand9si2f2L7/GvELT7azioP8EiLKEq oCF+1xoNdr5GY8OFOnPbQtdyEUvPetwhnE++diUg476IuIyYtUOTVEG18fbWoQPSGxKRHecZ 4SxBd5SJiDtd0E3UPaFZKyQ6VHy/EvSFSnpnUVtj07YHI6FyH1afqHpXD/1Bw6F1IKSVfVTF pUosfRrMDIXoEL4coguL3zFbIRIzBzIztPVuJqLj0/KL1knPq0J/UD8tCiDo/9FprthW1nQH 1ejTeLJ/VCEyxza6maCtBx8UeVviHSPfW/KPeB9+CnkDLn/FwE4GfgG4XBciH7OJxAAAAABJ RU5ErkJggg==</item> <item item-id="62">iVBORw0KGgoAAAANSUhEUgAAAGEAAAARCAYAAADNJMJiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AUdJREFUWEftVgEOwyAIbP//6K1dZkMZcIfVOBObLFlaRLjjTvfX8WzrGYvAScJ6xiKwjd1+ 7f5xogXDeASmI+Ew7wu183/5RVBacd7aTM5W9E1FggRckvG9XLiYoNjyHcWVDRjiMwRNQ4IH lATGatwCzAObJQGRniHg50yQjaKmvYZLgbqhbGE6HtWD9mOAryVBEy0tjVHNpQTthZH0o4nT no1iGQ9GOREBnloQ6FFe1sKY2m525DXLJLIkyq5Dh6r8buVk97H6s4iwBsOL8xSLbPLWk9cg mr7IjlABllw9IFEsS4AcEqQAxvMje2TU3ZWEGvIy50WtWqO6GFKiiX/aM30mMBMnp4OJz4Cv 1WUpJIqxQCw5sldPPekyT1SX12/TK2ov4GvIGrWm5sxaJDRmqzsJ3iGp3zfua7p0WTyaKmE6 tP6k4DdxY85ampQu3QAAAABJRU5ErkJggg==</item> <item item-id="63">iVBORw0KGgoAAAANSUhEUgAAADsAAAARCAYAAABjEtTjAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA ANNJREFUWEftVlsOgCAMw/sfWoFIMsYevCRL5hJ/NEC7tsPrjhW8VCLrpYIXotnBLsnG2Kbs 5sdSQTwcxl7sFTOLRAsmjE17Twlmliwmc4QsZREIRHLDilN2kYX4RWVxXt47ucm2Rqo6sGM2 cOdCa/bYuMk7tUF5xw0szlI7BtuoXSUsGH9XZptFaGLvVJZzwWgTsIh5X01ZqDKnuEZ2RXHN rpqyFWZMoPE5cfeeGFBSkymCVOTwcJ36g/hSyRUXaGt/slKHqHtX66iV71PKWgE/iuMBfFcf mT42MZsAAAAASUVORK5CYII=</item> <item item-id="64">iVBORw0KGgoAAAANSUhEUgAAALQAAAAlCAYAAADr98PUAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A4dJREFUeF7tXIFOQzEI1P//aHXZahijPUrhlW4sMU5focdxZdBEv3/+Xl/1KgbehYGboOsl M/CX42OpeWfso9jOzViw1N5ZEMHUubhH/Peel6AF+hGZLhkLcnIydk4JikV6XoJmLCISg3To 4vYK7G2P2/f29ZjDnn52Ceg+3w1d8ecl6BK0WntUwE3E1BiJT70RWYh8lqAHrCLyLAm5yuYq 7HSfFzEFDdEotidMVxF+wj6IuMwxRGLnrUXjoQSdWRGKfi0z/ChB84rcE3HU/lJrMxoeq4d+ sBOZkOiDEIkdVWE6JEbGiWL8xxEJ4iTfiLDMsURiL0FnznwNhNPZkVoOJPLpTRQG6NBWha7r OoWM7kt6Q2FvOFQ7nlhYghbIGpGCCNMMJxP5cV2qwe664QZnKMaq0JMVmlapDfkcbomSnQ2v BQ+KsQQ9Keiq0BYZ+tmYBE2vYCzXMZK9FBIC16PBC58VkxX3KK288vN+ledB+qSIwOUnRR9P KMaXCt2IsoqG22sqGrWR7CkVXvjQYUHi80nP3QtNkvSe5wKt98SWzde0oDUEoyD5pggE8sef rya0Z685fJo1Mwe0+esdZMTlKBaJtx62TL9fKSYvFXqHoC0CaEHPJFSyGR2WlSo+c0hHB95T 0DOYsq5FxTFM0BahaUn0rNDZBD1qOWg1XznQWp4zrpsWNOpRkUNa4Zsvz0q3ik/To6OPPBSX RQjcJ/2Zv5eErWmFLLiy2SD9iRV6NQi06ar/SPvs2Gfak0iedvlG+SlBs8wgwnYl0qv/341/ dX+UH5OgtRPxKnir/Qgf8okIQ/aRz1fbpUhs9MBFtGSaA/3U7l4R7Al7ZBY04i8L9kgcyLep QiNiT36OCMscWxbskTiQ7xL0YT00uoHRHjipLdPYorand9si2f2L7/GvELT7azioP8EiLKEq oCF+1xoNdr5GY8OFOnPbQtdyEUvPetwhnE++diUg476IuIyYtUOTVEG18fbWoQPSGxKRHecZ 4SxBd5SJiDtd0E3UPaFZKyQ6VHy/EvSFSnpnUVtj07YHI6FyH1afqHpXD/1Bw6F1IKSVfVTF pUosfRrMDIXoEL4coguL3zFbIRIzBzIztPVuJqLj0/KL1knPq0J/UD8tCiDo/9FprthW1nQH 1ejTeLJ/VCEyxza6maCtBx8UeVviHSPfW/KPeB9+CnkDLn/FwE4GfgG4XBciH7OJxAAAAABJ RU5ErkJggg==</item> <item item-id="65">iVBORw0KGgoAAAANSUhEUgAAAGEAAAARCAYAAADNJMJiAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AUpJREFUWEftWO0OhCAM897/oe/UiBlzHy1HAiaQ3C+Qbe3a6X2++9rWGovAQcJaYxHYxoZf 0U8nWjCMR+AVJOyGfcyt8+ctds+7E4l1zdFu7E1PggbXAjsiyNrz7kRiFQIi0ll2pidBF4QC KJ/LwPUAZdXFgl/OVySUoLJ7GMat51sTQ21HxmSfuUEwbC6rW+5rtUlLy2y0GszaC1kiLC+N OoxN1PJhDUQvEiDgLuJaVVYp1ZMtWiAj+39VEeXEWoduAiu3LJ4VMyPFjDOCBEsFjPzlcGTB zGZM1FTWnkcEoqZwJmjpZwBJb21RUKYQ5E5WCchrJnonkl9U4z2Ys5mAEFHOMF2AEMB2uwZF 5+Plh8TRKtSvrE2zLgOB2UeIYu5741lkTjwssWehi4TzH+kHpBku1MeaN1BRGfckfOa7WDwo EmYu/M25/QCcoN1Lo4vnWgAAAABJRU5ErkJggg==</item> </binaryContent> </worksheet>