add hw pdfs, fix error in hw2
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HW1/hw1.pdf
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HW1/hw1.pdf
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HW2/2_2_3.png
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HW2/2_2_3.png
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@ -1000,13 +1000,14 @@ hue-6-2: #e6c07b
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</li>
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</li>
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<li>
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<li>
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<ol start="2">
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<ol start="2">
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<li>Wrong, counter example, c is the smallese angle but c is not a part of convex hull.
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<li>Wrong, counter example, c is the smallest angle but c is not a part of convex hull.
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<img src="file:////home/renge/Documents/CSE 355/HW2/2_2_2.png" alt="2_2_2"></li>
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<img src="file:////home/renge/Documents/CSE 355/HW2/2_2_2.png" alt="2_2_2"></li>
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</ol>
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</ol>
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</li>
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</li>
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<li>
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<li>
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<ol start="3">
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<ol start="3">
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<li>Correct, base on Akl–Toussaint heuristic, for a set of points, the one with the highest y coordinate must be a part of the convex hull.</li>
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<li>Wrong, counter example, c is the highest point but if we include c this is not a conven hull.<br>
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<img src="file:////home/renge/Documents/CSE 355/HW2/2_2_3.png" alt="2_2_3"></li>
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</ol>
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</ol>
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</li>
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</li>
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<li>
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<li>
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@ -65,8 +65,9 @@
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- QuickHull(p7 , p3 , {p1})
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- QuickHull(p7 , p3 , {p1})
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- 2.
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- 2.
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- 1. Correct, this is basically the same as Graham scan.
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- 1. Correct, this is basically the same as Graham scan.
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- 2. Wrong, counter example, c is the smallese angle but c is not a part of convex hull.
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- 2. Wrong, counter example, c is the smallest angle but c is not a part of convex hull.
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![2_2_2](2_2_2.png)
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![2_2_2](2_2_2.png)
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- 3. Correct, base on Akl–Toussaint heuristic, for a set of points, the one with the highest y coordinate must be a part of the convex hull.
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- 3. Wrong, counter example, c is the highest point but if we include c this is not a conven hull.
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![2_2_3](2_2_3.png)
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- 4. Correct, this is a Ellipse with same focuses but different axis. The one with longer axis must contain the one with shorter axis but not vise versa. Thus, the point with highest sum must be a part of convex hull.
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- 4. Correct, this is a Ellipse with same focuses but different axis. The one with longer axis must contain the one with shorter axis but not vise versa. Thus, the point with highest sum must be a part of convex hull.
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- 5. Wrong, same graph as question 2, C is the one with minimal distance sum however it is not a part of convex hull.
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- 5. Wrong, same graph as question 2, C is the one with minimal distance sum however it is not a part of convex hull.
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HW2/HW2.pdf
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HW2/HW2.pdf
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@ -1,7 +1,7 @@
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<?xml version="1.0"?>
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<?xml version="1.0"?>
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<!DOCTYPE ipe SYSTEM "ipe.dtd">
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<!DOCTYPE ipe SYSTEM "ipe.dtd">
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<ipe version="70212" creator="Ipe 7.2.13">
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<ipe version="70218" creator="Ipe 7.2.26">
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@ -180,29 +180,16 @@ h
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h
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@ -210,44 +197,57 @@ h
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@ -280,5 +280,26 @@ h
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144 720 m
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128 640
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128 640 c
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128 640 m
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64 752 l
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<path stroke="black">
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64 752 m
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96 736 l
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</path>
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<path stroke="black">
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96 736 m
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144 720 l
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</ipe>
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</ipe>
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305
HW2/hw2-quickhull.ipe.autosave.ipe
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HW2/hw2-quickhull.ipe.autosave.ipe
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|
-0.6 -0.6 m
|
||||||
|
0.6 -0.6 l
|
||||||
|
0.6 0.6 l
|
||||||
|
-0.6 0.6 l
|
||||||
|
h
|
||||||
|
-0.4 -0.4 m
|
||||||
|
0.4 -0.4 l
|
||||||
|
0.4 0.4 l
|
||||||
|
-0.4 0.4 l
|
||||||
|
h
|
||||||
|
</path>
|
||||||
|
</group>
|
||||||
|
</symbol>
|
||||||
|
<symbol name="mark/cross(sx)" transformations="translations">
|
||||||
|
<group>
|
||||||
|
<path fill="sym-stroke">
|
||||||
|
-0.43 -0.57 m
|
||||||
|
0.57 0.43 l
|
||||||
|
0.43 0.57 l
|
||||||
|
-0.57 -0.43 l
|
||||||
|
h
|
||||||
|
</path>
|
||||||
|
<path fill="sym-stroke">
|
||||||
|
-0.43 0.57 m
|
||||||
|
0.57 -0.43 l
|
||||||
|
0.43 -0.57 l
|
||||||
|
-0.57 0.43 l
|
||||||
|
h
|
||||||
|
</path>
|
||||||
|
</group>
|
||||||
|
</symbol>
|
||||||
|
<symbol name="arrow/fnormal(spx)">
|
||||||
|
<path stroke="sym-stroke" fill="white" pen="sym-pen">
|
||||||
|
0 0 m
|
||||||
|
-1 0.333 l
|
||||||
|
-1 -0.333 l
|
||||||
|
h
|
||||||
|
</path>
|
||||||
|
</symbol>
|
||||||
|
<symbol name="arrow/pointed(spx)">
|
||||||
|
<path stroke="sym-stroke" fill="sym-stroke" pen="sym-pen">
|
||||||
|
0 0 m
|
||||||
|
-1 0.333 l
|
||||||
|
-0.8 0 l
|
||||||
|
-1 -0.333 l
|
||||||
|
h
|
||||||
|
</path>
|
||||||
|
</symbol>
|
||||||
|
<symbol name="arrow/fpointed(spx)">
|
||||||
|
<path stroke="sym-stroke" fill="white" pen="sym-pen">
|
||||||
|
0 0 m
|
||||||
|
-1 0.333 l
|
||||||
|
-0.8 0 l
|
||||||
|
-1 -0.333 l
|
||||||
|
h
|
||||||
|
</path>
|
||||||
|
</symbol>
|
||||||
|
<symbol name="arrow/linear(spx)">
|
||||||
|
<path stroke="sym-stroke" pen="sym-pen">
|
||||||
|
-1 0.333 m
|
||||||
|
0 0 l
|
||||||
|
-1 -0.333 l
|
||||||
|
</path>
|
||||||
|
</symbol>
|
||||||
|
<symbol name="arrow/fdouble(spx)">
|
||||||
|
<path stroke="sym-stroke" fill="white" pen="sym-pen">
|
||||||
|
0 0 m
|
||||||
|
-1 0.333 l
|
||||||
|
-1 -0.333 l
|
||||||
|
h
|
||||||
|
-1 0 m
|
||||||
|
-2 0.333 l
|
||||||
|
-2 -0.333 l
|
||||||
|
h
|
||||||
|
</path>
|
||||||
|
</symbol>
|
||||||
|
<symbol name="arrow/double(spx)">
|
||||||
|
<path stroke="sym-stroke" fill="sym-stroke" pen="sym-pen">
|
||||||
|
0 0 m
|
||||||
|
-1 0.333 l
|
||||||
|
-1 -0.333 l
|
||||||
|
h
|
||||||
|
-1 0 m
|
||||||
|
-2 0.333 l
|
||||||
|
-2 -0.333 l
|
||||||
|
h
|
||||||
|
</path>
|
||||||
|
</symbol>
|
||||||
|
<anglesize name="22.5 deg" value="22.5"/>
|
||||||
|
<anglesize name="30 deg" value="30"/>
|
||||||
|
<anglesize name="45 deg" value="45"/>
|
||||||
|
<anglesize name="60 deg" value="60"/>
|
||||||
|
<anglesize name="90 deg" value="90"/>
|
||||||
|
<arrowsize name="large" value="10"/>
|
||||||
|
<arrowsize name="small" value="5"/>
|
||||||
|
<arrowsize name="tiny" value="3"/>
|
||||||
|
<color name="blue" value="0 0 1"/>
|
||||||
|
<color name="brown" value="0.647 0.165 0.165"/>
|
||||||
|
<color name="darkblue" value="0 0 0.545"/>
|
||||||
|
<color name="darkcyan" value="0 0.545 0.545"/>
|
||||||
|
<color name="darkgray" value="0.663"/>
|
||||||
|
<color name="darkgreen" value="0 0.392 0"/>
|
||||||
|
<color name="darkmagenta" value="0.545 0 0.545"/>
|
||||||
|
<color name="darkorange" value="1 0.549 0"/>
|
||||||
|
<color name="darkred" value="0.545 0 0"/>
|
||||||
|
<color name="gold" value="1 0.843 0"/>
|
||||||
|
<color name="gray" value="0.745"/>
|
||||||
|
<color name="green" value="0 1 0"/>
|
||||||
|
<color name="lightblue" value="0.678 0.847 0.902"/>
|
||||||
|
<color name="lightcyan" value="0.878 1 1"/>
|
||||||
|
<color name="lightgray" value="0.827"/>
|
||||||
|
<color name="lightgreen" value="0.565 0.933 0.565"/>
|
||||||
|
<color name="lightyellow" value="1 1 0.878"/>
|
||||||
|
<color name="navy" value="0 0 0.502"/>
|
||||||
|
<color name="orange" value="1 0.647 0"/>
|
||||||
|
<color name="pink" value="1 0.753 0.796"/>
|
||||||
|
<color name="purple" value="0.627 0.125 0.941"/>
|
||||||
|
<color name="red" value="1 0 0"/>
|
||||||
|
<color name="seagreen" value="0.18 0.545 0.341"/>
|
||||||
|
<color name="turquoise" value="0.251 0.878 0.816"/>
|
||||||
|
<color name="violet" value="0.933 0.51 0.933"/>
|
||||||
|
<color name="yellow" value="1 1 0"/>
|
||||||
|
<dashstyle name="dash dot dotted" value="[4 2 1 2 1 2] 0"/>
|
||||||
|
<dashstyle name="dash dotted" value="[4 2 1 2] 0"/>
|
||||||
|
<dashstyle name="dashed" value="[4] 0"/>
|
||||||
|
<dashstyle name="dotted" value="[1 3] 0"/>
|
||||||
|
<gridsize name="10 pts (~3.5 mm)" value="10"/>
|
||||||
|
<gridsize name="14 pts (~5 mm)" value="14"/>
|
||||||
|
<gridsize name="16 pts (~6 mm)" value="16"/>
|
||||||
|
<gridsize name="20 pts (~7 mm)" value="20"/>
|
||||||
|
<gridsize name="28 pts (~10 mm)" value="28"/>
|
||||||
|
<gridsize name="32 pts (~12 mm)" value="32"/>
|
||||||
|
<gridsize name="4 pts" value="4"/>
|
||||||
|
<gridsize name="56 pts (~20 mm)" value="56"/>
|
||||||
|
<gridsize name="8 pts (~3 mm)" value="8"/>
|
||||||
|
<opacity name="10%" value="0.1"/>
|
||||||
|
<opacity name="30%" value="0.3"/>
|
||||||
|
<opacity name="50%" value="0.5"/>
|
||||||
|
<opacity name="75%" value="0.75"/>
|
||||||
|
<pen name="fat" value="1.2"/>
|
||||||
|
<pen name="heavier" value="0.8"/>
|
||||||
|
<pen name="ultrafat" value="2"/>
|
||||||
|
<symbolsize name="large" value="5"/>
|
||||||
|
<symbolsize name="small" value="2"/>
|
||||||
|
<symbolsize name="tiny" value="1.1"/>
|
||||||
|
<textsize name="Huge" value="\Huge"/>
|
||||||
|
<textsize name="LARGE" value="\LARGE"/>
|
||||||
|
<textsize name="Large" value="\Large"/>
|
||||||
|
<textsize name="footnote" value="\footnotesize"/>
|
||||||
|
<textsize name="huge" value="\huge"/>
|
||||||
|
<textsize name="large" value="\large"/>
|
||||||
|
<textsize name="small" value="\small"/>
|
||||||
|
<textsize name="tiny" value="\tiny"/>
|
||||||
|
<textstyle name="center" begin="\begin{center}" end="\end{center}"/>
|
||||||
|
<textstyle name="item" begin="\begin{itemize}\item{}" end="\end{itemize}"/>
|
||||||
|
<textstyle name="itemize" begin="\begin{itemize}" end="\end{itemize}"/>
|
||||||
|
<tiling name="falling" angle="-60" step="4" width="1"/>
|
||||||
|
<tiling name="rising" angle="30" step="4" width="1"/>
|
||||||
|
</ipestyle>
|
||||||
|
<page>
|
||||||
|
<layer name="alpha"/>
|
||||||
|
<view layers="alpha" active="alpha"/>
|
||||||
|
<use layer="alpha" name="mark/disk(sx)" pos="80 400" size="normal" stroke="black"/>
|
||||||
|
<use name="mark/disk(sx)" pos="496 464" size="normal" stroke="black"/>
|
||||||
|
<use name="mark/disk(sx)" pos="276 536" size="normal" stroke="black"/>
|
||||||
|
<use name="mark/disk(sx)" pos="140 476" size="normal" stroke="black"/>
|
||||||
|
<use name="mark/disk(sx)" pos="352 536" size="normal" stroke="black"/>
|
||||||
|
<use name="mark/disk(sx)" pos="100 436" size="normal" stroke="black"/>
|
||||||
|
<use name="mark/disk(sx)" pos="212 520" size="normal" stroke="black"/>
|
||||||
|
<use name="mark/disk(sx)" pos="468 492" size="normal" stroke="black"/>
|
||||||
|
<use name="mark/disk(sx)" pos="160 472" size="normal" stroke="black"/>
|
||||||
|
<use name="mark/disk(sx)" pos="340 528" size="normal" stroke="black"/>
|
||||||
|
<use matrix="1 0 0 1 24 0" name="mark/disk(sx)" pos="216 472" size="normal" stroke="black"/>
|
||||||
|
<use matrix="1 0 0 1 24 0" name="mark/disk(sx)" pos="352 472" size="normal" stroke="black"/>
|
||||||
|
<text matrix="1 0 0 1 184 152" transformations="translations" pos="82.4696 392.737" stroke="black" type="label" width="7.024" height="9.245" depth="0" valign="baseline" size="Large">5</text>
|
||||||
|
<text matrix="1 0 0 1 -336 4" transformations="translations" pos="501.225 455.954" stroke="black" type="label" width="7.024" height="9.245" depth="0" valign="baseline" size="Large">8</text>
|
||||||
|
<text matrix="1 0 0 1 -220 -128" transformations="translations" pos="282.965 525.631" stroke="black" type="label" width="7.024" height="9.245" depth="0" valign="baseline" size="Large">9</text>
|
||||||
|
<text transformations="translations" pos="360.486 468.182" stroke="black" type="label" width="7.024" height="9.245" depth="0" valign="baseline" size="Large">0</text>
|
||||||
|
<text transformations="translations" pos="224.362 469.797" stroke="black" type="label" width="7.024" height="9.245" depth="0" valign="baseline" size="Large">2</text>
|
||||||
|
<text transformations="translations" pos="461.541 482.717" stroke="black" type="label" width="7.024" height="9.245" depth="0" valign="baseline" size="Large">1</text>
|
||||||
|
<text matrix="1 0 0 1 324 -24" transformations="translations" pos="165.759 473.258" stroke="black" type="label" width="7.024" height="9.245" depth="0" valign="baseline" size="Large">3</text>
|
||||||
|
<text transformations="translations" pos="106.464 432.421" stroke="black" type="label" width="7.024" height="9.245" depth="0" valign="baseline" size="Large">4</text>
|
||||||
|
<text transformations="translations" pos="215.364 513.403" stroke="black" type="label" width="14.047" height="9.245" depth="0" valign="baseline" size="Large">10</text>
|
||||||
|
<text matrix="1 0 0 1 0 -2.99935" transformations="translations" pos="335.338 518.017" stroke="black" type="label" width="7.024" height="9.245" depth="0" valign="baseline" size="Large">6</text>
|
||||||
|
<text transformations="translations" pos="352.873 525.631" stroke="black" type="label" width="7.024" height="9.245" depth="0" valign="baseline" size="Large">7</text>
|
||||||
|
<text transformations="translations" pos="141.534 465.413" stroke="black" type="label" width="14.047" height="9.245" depth="0" valign="baseline" size="Large">11</text>
|
||||||
|
<use matrix="1 0 0 1 -64 -24" name="mark/disk(sx)" pos="352 472" size="normal" stroke="black"/>
|
||||||
|
<text matrix="1 0 0 1 144 -32" transformations="translations" pos="141.534 465.413" stroke="black" type="label" width="14.047" height="9.245" depth="0" valign="baseline" size="Large">12</text>
|
||||||
|
<text transformations="translations" pos="64 752" stroke="black" type="label" width="7.472" height="6.808" depth="0" valign="baseline">A</text>
|
||||||
|
<text transformations="translations" pos="128 640" stroke="black" type="label" width="7.057" height="6.808" depth="0" valign="baseline">B</text>
|
||||||
|
<text transformations="translations" pos="96 736" stroke="black" type="label" width="7.195" height="6.808" depth="0" valign="baseline">C</text>
|
||||||
|
<path stroke="black">
|
||||||
|
144 720 m
|
||||||
|
128 640
|
||||||
|
128 640 c
|
||||||
|
</path>
|
||||||
|
<path stroke="black">
|
||||||
|
128 640 m
|
||||||
|
64 752 l
|
||||||
|
</path>
|
||||||
|
<path stroke="black">
|
||||||
|
64 752 m
|
||||||
|
96 736 l
|
||||||
|
</path>
|
||||||
|
<path stroke="black">
|
||||||
|
96 736 m
|
||||||
|
144 720 l
|
||||||
|
</path>
|
||||||
|
<text transformations="translations" pos="144 720" stroke="black" type="label" width="7.61" height="6.808" depth="0" valign="baseline">D</text>
|
||||||
|
</page>
|
||||||
|
</ipe>
|
BIN
HW2/hw2.pdf
Normal file
BIN
HW2/hw2.pdf
Normal file
Binary file not shown.
Loading…
Reference in New Issue
Block a user