Difference between revisions of "AoPS Wiki:Sandbox"

(Solution)
(Reset sandbox)
 
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{{AoPSWiki:Sandbox/header}} <!-- Please do not delete this line -->
+
<noinclude>{{shortcut|[[A:SAND]]}}{{Template:Sandbox}}[[Category:AoPS Wiki]]<!-- Please do not delete this line --></noinclude>
<nowiki>
 
sss <br /> yyy
 
</nowiki>
 
<pre>dddd</pre>
 
<asy>
 
size(10cm);
 
draw(circle((0,0), 0.75));
 
label("A", (0,0.75))
 
draw(circle((6,0), 0.75));
 
draw(circle((12,0), 0.75));
 
draw(circle((18,0), 0.75));
 
draw(circle((0,3.5), 0.75));
 
draw(circle((6,3.5), 0.75));
 
draw(circle((12,3.5), 0.75));
 
draw(circle((18,3.5), 0.75));
 
draw(circle((0,7), 0.75));
 
draw(circle((6,7), 0.75));
 
draw(circle((12,7), 0.75));
 
draw(circle((18,7), 0.75));
 
draw(circle((0,10.5), 0.75));
 
draw(circle((6, 10.5), 0.75));
 
draw(circle((12, 10.5), 0.75));
 
draw(circle((18,10.5), 0.75));
 
draw(circle((0,14), 0.75));
 
draw(circle((6,14), 0.75));
 
draw(circle((12,14), 0.75));
 
draw(circle((18,14), 0.75));
 
draw(circle((0,17.5), 0.75));
 
draw(circle((6,17.5), 0.75));
 
draw(circle((12,17.5), 0.75));
 
draw(circle((18,17.5), 0.75));
 
<\asy>
 
<asy>
 
unitsize(0.15inch);
 
draw((0,0)--(2,0)--(2,1)--(0,1)--cycle);
 
draw((1,0)--(1,1));
 
label("2",(0.5,-0.3),N);
 
label("4",(1.5,-0.3),N);
 
draw((0,1.5)--(1,1.5)--(1,3.5)--(0,3.5)--cycle);
 
draw((0,2.5)--(1,2.5));
 
label("5",(0.5,1.2),N);
 
label("7",(0.5,2.2),N);
 
draw((3,-1)--(4,-1)--(4,-2)--(3,-2)--cycle);
 
label("7",(3.5,-0.7),S);
 
draw((4,1)--(4,2)--(6,2)--(6,1)--cycle);
 
draw((5,1)--(5,2));
 
label("4",(4.5,0.7),N);
 
label("7",(5.5,0.7),N);
 
draw((3,3)--(3,4)--(6,4)--(6,3)--cycle);
 
draw((4,3)--(4,4));
 
draw((5,3)--(5,4));
 
label("4",(3.5,2.7),N);
 
label("5",(4.5,2.7),N);
 
label("6",(5.5,2.7),N);
 
draw((7,0)--(7,3)--(8,3)--(8,0)--cycle);
 
draw((7,1)--(8,1));
 
draw((7,2)--(8,2));
 
label("2",(7.5,-0.3),N);
 
label("5",(7.5,0.7),N);
 
label("4",(7.5,1.7),N);
 
draw((8.5,0)--(9.5,0)--(9.5,3)--(8.5,3)--cycle);
 
draw((8.5,1)--(9.5,1));
 
draw((8.5,2)--(9.5,2));
 
label("5",(9,-0.3),N);
 
label("4",(9,0.7),N);
 
label("7",(9,1.7),N);
 
draw((10,0)--(14,0)--(14,4)--(10,4)--cycle);
 
draw((12,0)--(12,4));
 
draw((13,0)--(13,4));
 
draw((11,0)--(11,4));
 
draw((10,1)--(14,1));
 
draw((10,2)--(14,2));
 
draw((10,3)--(14,3));
 
label("ROW 1",(14,3.5),E);
 
label("ROW 2",(14,2.5),E);
 
</asy>
 
 
 
 
 
 
 
<aops>sdfvsdfv</aops>
 
 
 
[[file:Bold button.jpeg|25px]]
 
 
 
<a href="www.aops.com">Aops</a>
 
 
 
123\\456
 
222\\ 1
 
222 \\ w
 
)\\)
 
Hmmm
 
<pre class="python" style="font-family:monospace;">print(3)</pre>
 
=Solution=
 
 
 
 
 
 
 
 
 
 
 
<asy>draw((1/10,10)..(1/3,3)..(1/2,2)..(1,1)..(2, 1/2)..(3,1/3)..(4,1/4)..(5,1/5)..(6,1/6)..(7,1/7));</asy>
 
<asy>
 
real f(real x) {
 
    return 2x/(x-2);
 
}
 
xaxis(-10,10, Arrows(5));
 
yaxis(-10,10, Arrows(5));
 
 
 
path g = graph(f,2.5,10);
 
path h = graph(f, -6, 1.5);
 
draw(h, arrow=Arrows(5), p=blue);
 
draw(g, arrow=Arrows(5), p=blue);
 
draw((2,-10)--(2,10), gray+dashed);
 
</asy>
 
[https://www.google.com/?gws_rd=ssl Google]
 
 
 
{{MAA Notice}}
 
{{solution}}
 

Latest revision as of 17:36, 3 October 2025

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