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style="Title" layout="Title">Robot Arm Writing &quot;Maplesoft&quot; in Handwritten Cursive Script</Text-field>
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<Input><Text-field style="Text" layout="Normal">This application models a 3 DoF robot arm, with the motion of the tip writing &quot;Maplesoft&quot; in handwritten cursive script. </Text-field><Text-field style="Text" layout="Normal"></Text-field><Text-field style="Text" layout="Normal">To model the arm, the worksheet </Text-field><Text-field style="Text" layout="Normal"></Text-field><Text-field style="Text" layout="Normal" leftmargin="35" bullet="dot">Analytically derives the Denavit &amp; Hartenberg transformation matrix for each of the three joints</Text-field><Text-field style="Text" layout="Normal" leftmargin="35" bullet="dot">Lets the user specify a parametric path for the tip of the robot to follow. The default equations in the worksheet writes &quot;Maplesoft&quot; in cursive script</Text-field><Text-field style="Text" layout="Normal" leftmargin="35" bullet="dot">Animates the robot arm following the specified path</Text-field><Text-field style="Text" layout="Normal"></Text-field><Text-field style="Text" layout="Normal">Reference: </Text-field><Text-field style="Text" layout="Normal">Adapted from <Hyperlink linktarget="https://www.maplesoft.com/applications/view.aspx?SID=6850" hyperlink="true"><Font style="Hyperlink">Robot Arm Modeling</Font></Hyperlink><Font encoding="UTF-8"> by Dr. Laczik B\303\241lint</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"></Text-field><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSI6RidGMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkkvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lK2V4ZWN1dGFibGVHRjFGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSI6RidGMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkkvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lK2V4ZWN1dGFibGVHRjFGMg==</Equation><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSZwbG90c0YnRi9GMkYyRjItSSNtb0dGJDYtUSI6RidGMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlFGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSZwbG90c0YnRi9GMkYyRjItSSNtb0dGJDYtUSI6RidGMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlFGMg==</Equation><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSpwbG90dG9vbHNGJ0YvRjJGMkYyLUkjbW9HRiQ2LVEiOkYnRjIvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRRistRjY2JC1GIzYkLUYsNiVRK0NvbG9yVG9vbHNGJ0YvRjJGMkYyRj1GMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSpwbG90dG9vbHNGJ0YvRjJGMkYyLUkjbW9HRiQ2LVEiOkYnRjIvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRRistRjY2JC1GIzYkLUYsNiVRK0NvbG9yVG9vbHNGJ0YvRjJGMkYyRj1GMg==</Equation></Text-field>
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</Group>
</Section>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field bookmark="bkmrk1" style="Heading 1" layout="Heading 1">Transformation Matrix for One Joint</Text-field></Title>
<Group hide-input="false" hide-output="false" labelreference="L6" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
</Section>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field bookmark="bkmrk2" style="Heading 1" layout="Heading 1">Transformation Matrix of Tip wrt Base</Text-field></Title>
<Group labelreference="L103" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Next, use parameters for a robot with a sequence of three arms and compute the transformation matrix for the tip of the robot with respect to its base.</Text-field>
</Input>
</Group>
<Group hide-input="false" hide-output="false" labelreference="L10" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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</Input>
</Group>
</Section>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field bookmark="bkmrk4" style="Heading 1" layout="Heading 1">Deriving Joint Angles</Text-field></Title>
<Group hide-input="false" hide-output="false" labelreference="L20" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">First angle</Text-field><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYxLUkjbWlHRiQ2I1EhRictSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuMGVtRicvJSZkZXB0aEdGNC8lKmxpbmVicmVha0dRKG5ld2xpbmVGJy1GMDYmRjJGNUY4L0Y7USVhdXRvRictRiw2JVEkZXExRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnRkcvJSZmZW5jZUdGRi8lKnNlcGFyYXRvckdGRi8lKXN0cmV0Y2h5R0ZGLyUqc3ltbWV0cmljR0ZGLyUobGFyZ2VvcEdGRi8lLm1vdmFibGVsaW1pdHNHRkYvJSdhY2NlbnRHRkYvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0Zobi1JJm1mcmFjR0YkNigtSSVtc3ViR0YkNiUtRiw2JVEid0YnRkRGRy1JI21uR0YkNiRRIjFGJ0ZHLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRl9vNiVGYW8tRmVvNiRRIjJGJ0ZHRmhvLyUubGluZXRoaWNrbmVzc0dGZ28vJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGZHAvJSliZXZlbGxlZEdGRi1GSzYtUSkmZXF1YWxzO0YnRkdGTkZQRlJGVEZWRlhGWkZmbkZpbi1GXG82KC1GIzYkLUYsNiVRInhGJ0ZERkdGRy1GIzYkLUYsNiVRInlGJ0ZERkdGR0ZgcEZicEZlcEZncC1GSzYtUSI6RidGR0ZORlBGUkZURlZGWEZaRmZuRmluRi9GPUYrLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJStleGVjdXRhYmxlR0ZGRkc=">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</Equation><Equation executable="true" style="2D Input" input-equation="" 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</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSdUaGV0YTFHRigtSSdhcmN0YW5HRiU2IyomSSJ5R0YoIiIiSSJ4R0YoISIiNyNGLg==</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal">Second angle</Text-field><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSdUaGV0YTJHRigtSSdhcmNjb3NHRiU2IywkKiojIiIiIiIjRjQsNCokKUkieEdGKEY1RjRGNCokKUkieUdGKEY1RjRGNCokKUkiekdGKEY1RjRGNCooRjVGNEY/RjRJK2xlbmd0aEFybTFHRihGNCEiIiokKUZBRjVGNEY0KiQpSStsZW5ndGhBcm0yR0YoRjVGNEZCKiQpSStsZW5ndGhBcm0zR0YoRjVGNEZCKihGNUY0RkpGNEkqbGVuZ3RoVGlwR0YoRjRGQiokKUZMRjVGNEZCRjRGR0ZCLCZGSkY0RkxGNEZCRjQ3I0Yu</Equation></Text-field>
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<Group hide-input="false" hide-output="false" labelreference="L138" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Third angle</Text-field><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
</Section>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Parametric Path for Tip of Robot Arm</Text-field></Title>
<Group labelreference="L10821" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">This list contains three parametric equations (one each for the x, y and z coordinates for the tip of the robot arm). When plotted, you see the word &quot;Maplesoft&quot; in cursive handwritten script.</Text-field><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" 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<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field bookmark="bkmrk9" style="Heading 1" layout="Heading 1">Animation</Text-field></Title>
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executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" 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</Input>
</Group>
<Group labelreference="L245" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EhRictSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuMGVtRicvJSZkZXB0aEdGNC8lKmxpbmVicmVha0dRKG5ld2xpbmVGJy1GMDYmRjJGNUY4L0Y7USVhdXRvRidGKy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EhRictSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuMGVtRicvJSZkZXB0aEdGNC8lKmxpbmVicmVha0dRKG5ld2xpbmVGJy1GMDYmRjJGNUY4L0Y7USVhdXRvRidGKy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn</Equation></Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" 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<Group hide-input="false" hide-output="false" labelreference="L311" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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</Section>
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