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AoPS Wiki - User contributions [en]
2021-12-05T18:26:38Z
User contributions
MediaWiki 1.31.1
https://artofproblemsolving.com/wiki/index.php?title=2019_AIME_II_Problems/Problem_4&diff=104746
2019 AIME II Problems/Problem 4
2019-03-22T19:55:31Z
<p>Thothdragonfly2: </p>
<hr />
<div>A standard six-sided fair die is rolled four times. The probability that the product of all four numbers rolled is a perfect square is <math>\dfrac{m}{n}</math>, where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m+n</math>.</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=2019_AIME_II_Problems/Problem_3&diff=104745
2019 AIME II Problems/Problem 3
2019-03-22T19:54:28Z
<p>Thothdragonfly2: </p>
<hr />
<div>Find the number of <math>7</math>-tuples of positive integers <math>(a,b,c,d,e,f,g)</math> that satisfy the following systems of equations:<br />
\begin{align*}<br />
abc&=70,\\<br />
cde&=71,\\<br />
efg&=72.<br />
\end{align*}</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=2019_AIME_II_Problems/Problem_3&diff=104744
2019 AIME II Problems/Problem 3
2019-03-22T19:53:38Z
<p>Thothdragonfly2: </p>
<hr />
<div>Find the number of <math>7</math>-tuples of positive integers <math>(a,b,c,d,e,f,g)</math> that satisfy the following systems of equations:<br />
<math>\begin{align*}<br />
abc&=70,\\<br />
cde&=71,\\<br />
efg&=72.<br />
\end{align*}</math></div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=2019_AIME_II_Problems/Problem_3&diff=104743
2019 AIME II Problems/Problem 3
2019-03-22T19:53:11Z
<p>Thothdragonfly2: </p>
<hr />
<div>Find the number of <math>7</math>-tuples of positive integers <math>(a,b,c,d,e,f,g)</math> that satisfy the following systems of equations:<br />
\begin{align*}<br />
abc&=70,\\<br />
cde&=71,\\<br />
efg&=72.<br />
\end{align*}</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=2019_AIME_II_Problems/Problem_2&diff=104742
2019 AIME II Problems/Problem 2
2019-03-22T19:52:26Z
<p>Thothdragonfly2: </p>
<hr />
<div>Lily pads <math>1,2,3,\ldots</math> lie in a row on a pond. A frog makes a sequence of jumps starting on pad <math>1</math>. From any pad <math>k</math> the frog jumps to either pad <math>k+1</math> or pad <math>k+2</math> chosen randomly with probability <math>\tfrac12</math> and independently of other jumps. The probability that the frog visits pad <math>7</math> is <math>\tfrac pq</math>, where <math>p</math> and <math>q</math> are relatively prime positive integers. Find <math>p+q</math>.</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=2019_AIME_II_Problems/Problem_1&diff=104741
2019 AIME II Problems/Problem 1
2019-03-22T19:50:22Z
<p>Thothdragonfly2: </p>
<hr />
<div>Two different points, <math>C</math> and <math>D</math>, lie on the same side of line <math>AB</math> so that <math>\triangle ABC</math> and <math>\triangle BAD</math> are congruent with <math>AB = 9</math>, <math>BC=AD=10</math>, and <math>CA=DB=17</math>. The intersection of these two triangular regions has area <math>\tfrac mn</math>, where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m+n</math>.</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=2019_AIME_II_Answer_Key&diff=104740
2019 AIME II Answer Key
2019-03-22T19:47:02Z
<p>Thothdragonfly2: </p>
<hr />
<div>The 2019 AIME II took place on March 21, 2019.<br />
# 059<br />
# 107<br />
# 096<br />
# 187<br />
# 520<br />
# 216<br />
# 715<br />
# 053<br />
# 472<br />
# 547<br />
#<br />
#<br />
#<br />
#<br />
#</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=2019_AIME_II_Problems&diff=104739
2019 AIME II Problems
2019-03-22T19:44:59Z
<p>Thothdragonfly2: </p>
<hr />
<div>The 2019 Aime II took place on March 21, 2019.</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=Missouri_ARML&diff=94865
Missouri ARML
2018-06-02T04:48:46Z
<p>Thothdragonfly2: One coach is longer involved</p>
<hr />
<div>The '''Missouri ARML''' team competes at the [[American Regions Mathematics League]]. The team was started about a decade ago by then [[Washington University in St. Louis]] student [[Tim Sanders]] and was initially co-coached by [[user:MCrawford | Mathew Crawford]]. As of 2018, it is coached by Chip Day, Rick Armstrong, Sonya Land, Kevin Hopkins, Sam Heil, Steve Emge, and Joe Walegir.<br />
<br />
== Resources ==<br />
* [[Missouri mathematics competitions]]<br />
* [[Mathematics competition resources]]<br />
[[Category:ARML teams]]</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=Missouri_ARML&diff=94460
Missouri ARML
2018-05-13T19:34:16Z
<p>Thothdragonfly2: </p>
<hr />
<div>The '''Missouri ARML''' team competes at the [[American Regions Mathematics League]]. The team was started about a decade ago by then [[Washington University in St. Louis]] student [[Tim Sanders]] and was initially co-coached by [[user:MCrawford | Mathew Crawford]]. As of 2018, it is coached by Chip Day, Rick Armstrong, Sonya Land, Kevin Hopkins, Sam Heil, Steve Emge, Joe Walegir, and Yungchen Cheng.<br />
<br />
== Resources ==<br />
* [[Missouri mathematics competitions]]<br />
* [[Mathematics competition resources]]<br />
[[Category:ARML teams]]</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=Missouri_Mathcounts&diff=94031
Missouri Mathcounts
2018-04-19T13:38:19Z
<p>Thothdragonfly2: </p>
<hr />
<div>Missouri's Mathcounts performance at nationals can be described as spastic. Reaching a high of 2nd, with a people coming in second or making the semifinals of the countdown, to team places in the late 20s, Missouri has an equal shot of coming in first or tenth (or more likely, 20th :/).<br />
<br />
== National Team Awards and Placement ==<br />
* 2017 18th<br />
<br />
* 2015 18th<br />
* 2014 24th<br />
* 2013 20th<br />
* 2012 16th<br />
* 2011 15th<br />
* 2010 18th<br />
* 2009 2nd<br />
* 2008 8th<br />
<br />
* 2005 7th<br />
<br />
* 2003 2nd<br />
<br />
* 2000 14th<br />
<br />
== MO State Team Champions ==<br />
* 2018 - Ladue Middle School, St. Louis (all 4 students from Ladue)<br />
* 2017 - Ladue Middle School, St. Louis<br />
* 2016 - Ladue Middle School, St. Louis<br />
* 2015 - Ladue Middle School, St. Louis<br />
* 2014 - Crestview Middle School, Ballwin<br />
* 2013 - Ladue Middle School, St. Louis<br />
* 2012 - West Jr. High School, Columbia<br />
* 2011 - Ladue Middle School, St. Louis<br />
* 2010 - Ladue Middle School, St. Louis (all 4 students from the same school, again)<br />
* 2009 - Ladue Middle School, St. Louis (all 4 students on 2009's national team were from this school, the first time in this state's history)<br />
* 2008 - Ladue Middle School, St. Louis<br />
* 2007 - Ladue Middle School, St. Louis<br />
* 2006 - West Jr. High School, Columbia<br />
* 2005 - West Jr. High School, Columbia<br />
* 2004 - West Jr. High School, Columbia<br />
* 2003 - Smithton Middle School, Columbia<br />
* 2002 - Ladue Middle School, St. Louis<br />
<br />
== MO State Team Members and Written Place (CD place if unknown) ==<br />
* 2018 - William Bender, Anthony Wang, Nicole Li, Samuel Chen, Coach: Paul Turney<br />
<br />
* 2017 - Stephen Jiang, Anthony Wang, Jason Ding, Sri Jaladi, Coach: Paul Turney<br />
<br />
* 2016 - William Bender, Bhavya Perma, Rohan Bansal, Jeremy Ouyang, Coach: Nancy Chambers<br />
<br />
* 2015 - Lenny Chen (49), Kevin Jiang, Moses Schindler (54), Jason Zhou, Coach: Nancy Chambers<br />
<br />
* 2014 - Alan Peng (12), Eric Chien, Alex Donovan, Lenny Chen (99), Coach: Kelley Garbero<br />
<br />
* 2013 - Alan Peng (29), Nathan Soedjak, Stephanie Zhang, Ryan Soedjak, Coach: Chris Hysong<br />
<br />
* 2012 - Spencer Chen (35), Rachel Zhang (42), Hannah Chen (?), Victoria Yi (?), Coach: Chris Hysong<br />
<br />
* 2011- Yang Liu (4), Amanda Cao (68), Michael Huang (87), Spencer Chen (109), Coach : Joe Kleine<br />
<br />
* 2010- Yang Liu (24), Jialin Ding (46), Enze Chen (47), Stella Schindler (54), Coach: Joe Kleine<br />
<br />
* 2009- Maximilian Schindler (2), Victor Wang (7), Runpeng Liu (23), Stella Schindler, Coaches: Paul Turney, Joe Kleine (assistant coach)<br />
<br />
* 2008- Runpeng Liu (16), Skyler Wright (42), Maximilian Schindler, Katie Zhang, Coach: Paul Turney<br />
<br />
* 2007 - Michael Zhao (10), Samuel Lite, Owen Hill, Shuyang Li, Coach: Mike Rowson (subbed for Paul Turney)<br />
<br />
* 2006 - George Yu (11), Amadeus Zhu, Michael Zhao, Owen Hill, Coach: Mike Rowson<br />
<br />
* 2005 - Jack Chen, Mike Jin (8), Tom Morrell, George Yu, Coach: Mike Rowson<br />
<br />
* 2004 - Mike Jin, Andrew Liu, Daniel Ni, Kevin Zhang, Coach: Mike Rowson<br />
<br />
* 2003- Mario DiDonna (3), Kevin Zhang, Mike Jin, Jacob Bayer, Coach: Dorina Mitrea<br />
<br />
* 2002 - Mario DiDonna, Gerardo Flores, Timothy Kim, William Gilbert, Coach: Theresa Barry<br />
<br />
<br />
<br />
* 2000 - Taige Hou (36), Daniel Berry (47), ???, ???, Coach: ???<br />
<br />
==2018 State Tournament==<br />
Top 10 Seeds:<br />
*1. William Bender<br />
*2. Anthony Wang<br />
*3. Nicole Li<br />
*4. Samuel Chen<br />
*5. Iris Zhou<br />
*6. Benjamin Xu<br />
*7. Alex Chen<br />
*8. Maggie Lin<br />
*9. William Young<br />
*10. Samuel Garvin<br />
<br />
==Countdown Round==<br />
<br />
* 2014 - Alan Peng: S (4th)<br />
<br />
* 2011 - Yang Liu: 2 (2nd)<br />
<br />
* 2009 - Victor Wang: P (10th), Maximilian Schindler: S (3rd)<br />
<br />
* 2007 - Michael Zhao: P (12th)<br />
<br />
* 2006 - George Yu: P (12th)<br />
<br />
* 2005 - Mike Jin: Q (8th)<br />
<br />
* 2003 - Mario DiDonna: S (3rd)<br />
<br />
==Masters Round==<br />
<br />
Note: The Masters Round was replaced by the Math Video Challenge after 2011<br />
<br />
* 2011- Yang Liu (won and participated)<br />
<br />
* 2009 - Maximilian Schindler (won and participated)</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=Missouri_Mathcounts&diff=94030
Missouri Mathcounts
2018-04-19T13:37:32Z
<p>Thothdragonfly2: </p>
<hr />
<div>Missouri's Mathcounts performance at nationals can be described as spastic. Reaching a high of 2nd, with a people coming in second or making the semifinals of the countdown, to team places in the late 20s, Missouri has an equal shot of coming in first or tenth (or more likely, 20th :/).<br />
<br />
== National Team Awards and Placement ==<br />
* 2017 18th<br />
<br />
* 2015 18th<br />
* 2014 24th<br />
* 2013 20th<br />
* 2012 16th<br />
* 2011 15th<br />
* 2010 18th<br />
* 2009 2nd<br />
* 2008 8th<br />
<br />
* 2005 7th<br />
<br />
* 2003 2nd<br />
<br />
* 2000 14th<br />
<br />
== MO State Team Champions ==<br />
* 2018 - Ladue Middle School, St. Louis (all 4 students from Ladue)<br />
* 2017 - Ladue Middle School, St. Louis<br />
* 2016 - Ladue Middle School, St. Louis<br />
* 2015 - Ladue Middle School, St. Louis<br />
* 2014 - Crestview Middle School, Ballwin<br />
* 2013 - Ladue Middle School, St. Louis<br />
* 2012 - West Jr. High School, Columbia<br />
* 2011 - Ladue Middle School, St. Louis<br />
* 2010 - Ladue Middle School, St. Louis (all 4 students from the same school, again)<br />
* 2009 - Ladue Middle School, St. Louis (all 4 students on 2009's national team were from this school, the first time in this state's history)<br />
* 2008 - Ladue Middle School, St. Louis<br />
* 2007 - Ladue Middle School, St. Louis<br />
* 2006 - West Jr. High School, Columbia<br />
* 2005 - West Jr. High School, Columbia<br />
* 2004 - West Jr. High School, Columbia<br />
* 2003 - Smithton Middle School, Columbia<br />
* 2002 - Ladue Middle School, St. Louis<br />
<br />
== MO State Team Members and Written Place (CD place if unknown) ==<br />
* 2018 - William Bender, Anthony Wang, Nicole Li, Samuel Chen, Coach: Paul Turney<br />
<br />
* 2017 - Stephen Jiang, Anthony Wang, Jason Ding, Sri Jaladi, Coach: Paul Turney<br />
<br />
* 2016 - William Bender, Bhavya Perma, Rohan Bansal, Jeremy Ouyang, Coach: Nancy Chambers<br />
<br />
* 2015 - Lenny Chen (49), Kevin Jiang, Moses Schindler (54), Jason Zhou, Coach: Nancy Chambers<br />
<br />
* 2014 - Alan Peng (12), Eric Chien, Alex Donovan, Lenny Chen (99), Coach: Kelley Garbero<br />
<br />
* 2013 - Alan Peng (29), Nathan Soedjak, Stephanie Zhang, Ryan Soedjak, Coach: Chris Hysong<br />
<br />
* 2012 - Spencer Chen (35), Rachel Zhang (42), Hannah Chen (?), Victoria Yi (?), Coach: Chris Hysong<br />
<br />
* 2011- Yang Liu (4), Amanda Cao (68), Michael Huang (87), Spencer Chen (109), Coach : Joe Kleine<br />
<br />
* 2010- Yang Liu (24), Jialin Ding (46), Enze Chen (47), Stella Schindler (54), Coach: Joe Kleine<br />
<br />
* 2009- Maximilian Schindler (2), Victor Wang (7), Runpeng Liu (23), Stella Schindler, Coaches: Paul Turney, Joe Kleine (assistant coach)<br />
<br />
* 2008- Runpeng Liu (16), Skyler Wright (42), Maximilian Schindler, Katie Zhang, Coach: Paul Turney<br />
<br />
* 2007 - Michael Zhao (10), Samuel Lite, Owen Hill, Shuyang Li, Coach: Mike Rowson (subbed for Paul Turney)<br />
<br />
* 2006 - George Yu (11), Amadeus Zhu, Michael Zhao, Owen Hill, Coach: Mike Rowson<br />
<br />
* 2005 - Jack Chen, Mike Jin (8), Tom Morrell, George Yu, Coach: Mike Rowson<br />
<br />
* 2004 - Mike Jin, Andrew Liu, Daniel Ni, Kevin Zhang, Coach: Mike Rowson<br />
<br />
* 2003- Mario DiDonna (3), Kevin Zhang, Mike Jin, Jacob Bayer, Coach: Dorina Mitrea<br />
<br />
* 2002 - Mario DiDonna, Gerardo Flores, Timothy Kim, William Gilbert, Coach: Theresa Barry<br />
<br />
<br />
<br />
* 2000 - Taige Hou (36), Daniel Berry (47), ???, ???, Coach: ???<br />
<br />
==2018 State Tournament==<br />
Top 10 Seeds:<br />
1. William Bender<br />
2. Anthony Wang<br />
3. Nicole Li<br />
4. Samuel Chen<br />
5. Iris Zhou<br />
6. Benjamin Xu<br />
7. Alex Chen<br />
8. Maggie Lin<br />
9. William Young<br />
10. Samuel Garvin<br />
<br />
==Countdown Round==<br />
<br />
* 2014 - Alan Peng: S (4th)<br />
<br />
* 2011 - Yang Liu: 2 (2nd)<br />
<br />
* 2009 - Victor Wang: P (10th), Maximilian Schindler: S (3rd)<br />
<br />
* 2007 - Michael Zhao: P (12th)<br />
<br />
* 2006 - George Yu: P (12th)<br />
<br />
* 2005 - Mike Jin: Q (8th)<br />
<br />
* 2003 - Mario DiDonna: S (3rd)<br />
<br />
==Masters Round==<br />
<br />
Note: The Masters Round was replaced by the Math Video Challenge after 2011<br />
<br />
* 2011- Yang Liu (won and participated)<br />
<br />
* 2009 - Maximilian Schindler (won and participated)</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=User:Thothdragonfly2&diff=93897
User:Thothdragonfly2
2018-04-12T14:09:14Z
<p>Thothdragonfly2: Created page with "This is a user page which was created by the user that it is supposed to detail. So far, this user has created this user page: https://artofproblemsolving.com/wiki/index.php?t..."</p>
<hr />
<div>This is a user page which was created by the user that it is supposed to detail. So far, this user has created this user page: https://artofproblemsolving.com/wiki/index.php?title=User:Thothdragonfly2.</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=AIME_Problems_and_Solutions&diff=92735
AIME Problems and Solutions
2018-03-05T18:15:16Z
<p>Thothdragonfly2: </p>
<hr />
<div>This is a list of all [[AIME]] exams in the AoPSWiki. Some of them contain complete questions and solutions, others complete questions, and others are lacking both questions and solutions. Many of these problems and solutions are also available in the [http://www.artofproblemsolving.com/Forum/resources.php?c=182 AoPS Resources] section. If you find problems that are in the Resources section which are not in the AoPSWiki, please consider adding them. Also, if you notice that a problem in the Wiki differs from the original wording, feel free to correct it. Finally, additions to and improvements on the solutions in the AoPSWiki are always welcome.<br />
<br />
{| class="wikitable" style="text-align:center"<br />
|-<br />
!Year<br />
!Test I<br />
!Test II<br />
|-<br />
| 2018 || [[2018 AIME I | AIME I]] || [[2018 AIME II | AIME II]]<br />
|-<br />
| 2017 || [[2017 AIME I | AIME I]] || [[2017 AIME II | AIME II]]<br />
|-<br />
| 2016 || [[2016 AIME I | AIME I]] || [[2016 AIME II | AIME II]]<br />
|-<br />
| 2015 || [[2015 AIME I | AIME I]] || [[2015 AIME II | AIME II]]<br />
|-<br />
| 2014 || [[2014 AIME I | AIME I]] || [[2014 AIME II | AIME II]]<br />
|-<br />
| 2013 || [[2013 AIME I | AIME I]] || [[2013 AIME II | AIME II]]<br />
|-<br />
| 2012 || [[2012 AIME I | AIME I]] || [[2012 AIME II | AIME II]]<br />
|-<br />
| 2011 || [[2011 AIME I | AIME I]] || [[2011 AIME II | AIME II]]<br />
|-<br />
| 2010 || [[2010 AIME I | AIME I]] || [[2010 AIME II | AIME II]]<br />
|-<br />
| 2009 || [[2009 AIME I | AIME I]] || [[2009 AIME II | AIME II]]<br />
|-<br />
| 2008 || [[2008 AIME I | AIME I]] || [[2008 AIME II | AIME II]]<br />
|-<br />
| 2007 || [[2007 AIME I | AIME I]] || [[2007 AIME II | AIME II]]<br />
|-<br />
| 2006 || [[2006 AIME I | AIME I]] || [[2006 AIME II | AIME II]]<br />
|-<br />
| 2005 || [[2005 AIME I | AIME I]] || [[2005 AIME II | AIME II]]<br />
|-<br />
| 2004 || [[2004 AIME I | AIME I]] || [[2004 AIME II | AIME II]]<br />
|-<br />
| 2003 || [[2003 AIME I | AIME I]] || [[2003 AIME II | AIME II]]<br />
|-<br />
| 2002 || [[2002 AIME I | AIME I]] || [[2002 AIME II | AIME II]]<br />
|-<br />
| 2001 || [[2001 AIME I | AIME I]] || [[2001 AIME II | AIME II]]<br />
|-<br />
| 2000 || [[2000 AIME I | AIME I]] || [[2000 AIME II | AIME II]]<br />
|-<br />
| 1999<br />
| colspan="2"| [[1999 AIME | AIME]]<br />
|-<br />
| 1998<br />
| colspan="2"| [[1998 AIME | AIME]]<br />
|-<br />
| 1997<br />
| colspan="2"| [[1997 AIME | AIME]] <br />
|-<br />
| 1996<br />
| colspan="2"| [[1996 AIME | AIME]]<br />
|-<br />
| 1995<br />
| colspan="2"| [[1995 AIME | AIME]]<br />
|-<br />
| 1994<br />
| colspan="2"| [[1994 AIME | AIME]]<br />
|-<br />
| 1993<br />
| colspan="2"| [[1993 AIME | AIME]]<br />
|-<br />
| 1992<br />
| colspan="2"| [[1992 AIME | AIME]]<br />
|-<br />
| 1991<br />
| colspan="2"| [[1991 AIME | AIME]]<br />
|-<br />
| 1990<br />
| colspan="2"| [[1990 AIME | AIME]]<br />
|-<br />
| 1989<br />
| colspan="2"| [[1989 AIME | AIME]]<br />
|-<br />
| 1988 <br />
| colspan="2"| [[1988 AIME | AIME]]<br />
|-<br />
| 1987<br />
| colspan="2"| [[1987 AIME | AIME]]<br />
|-<br />
| 1986<br />
| colspan="2"| [[1986 AIME | AIME]]<br />
|-<br />
| 1985<br />
| colspan="2"| [[1985 AIME | AIME]] <br />
|-<br />
| 1984 <br />
| colspan="2"| [[1984 AIME | AIME]] <br />
|-<br />
| 1983<br />
| colspan="2"| [[1983 AIME | AIME]]<br />
|}<br />
<br />
== Resources ==<br />
* [[American Mathematics Competitions]]<br />
* [[AMC Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
<br />
<br />
<br />
[[Category:Math Contest Problems]]</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=AIME_Problems_and_Solutions&diff=92734
AIME Problems and Solutions
2018-03-05T18:14:55Z
<p>Thothdragonfly2: </p>
<hr />
<div>This is a list of all [[AIME]] exams in the AoPSWiki. Some of them contain complete questions and solutions, others complete questions, and others are lacking both questions and solutions. Many of these problems and solutions are also available in the [http://www.artofproblemsolving.com/Forum/resources.php?c=182 AoPS Resources] section. If you find problems that are in the Resources section which are not in the AoPSWiki, please consider adding them. Also, if you notice that a problem in the Wiki differs from the original wording, feel free to correct it. Finally, additions to and improvements on the solutions in the AoPSWiki are always welcome.<br />
<br />
{| class="wikitable" style="text-align:center"<br />
|-<br />
!Year<br />
!Test I<br />
!Test II<br />
<br />
| 2018 || [[2018 AIME I | AIME I]] || [[2018 AIME II | AIME II]]<br />
|-<br />
| 2017 || [[2017 AIME I | AIME I]] || [[2017 AIME II | AIME II]]<br />
|-<br />
| 2016 || [[2016 AIME I | AIME I]] || [[2016 AIME II | AIME II]]<br />
|-<br />
| 2015 || [[2015 AIME I | AIME I]] || [[2015 AIME II | AIME II]]<br />
|-<br />
| 2014 || [[2014 AIME I | AIME I]] || [[2014 AIME II | AIME II]]<br />
|-<br />
| 2013 || [[2013 AIME I | AIME I]] || [[2013 AIME II | AIME II]]<br />
|-<br />
| 2012 || [[2012 AIME I | AIME I]] || [[2012 AIME II | AIME II]]<br />
|-<br />
| 2011 || [[2011 AIME I | AIME I]] || [[2011 AIME II | AIME II]]<br />
|-<br />
| 2010 || [[2010 AIME I | AIME I]] || [[2010 AIME II | AIME II]]<br />
|-<br />
| 2009 || [[2009 AIME I | AIME I]] || [[2009 AIME II | AIME II]]<br />
|-<br />
| 2008 || [[2008 AIME I | AIME I]] || [[2008 AIME II | AIME II]]<br />
|-<br />
| 2007 || [[2007 AIME I | AIME I]] || [[2007 AIME II | AIME II]]<br />
|-<br />
| 2006 || [[2006 AIME I | AIME I]] || [[2006 AIME II | AIME II]]<br />
|-<br />
| 2005 || [[2005 AIME I | AIME I]] || [[2005 AIME II | AIME II]]<br />
|-<br />
| 2004 || [[2004 AIME I | AIME I]] || [[2004 AIME II | AIME II]]<br />
|-<br />
| 2003 || [[2003 AIME I | AIME I]] || [[2003 AIME II | AIME II]]<br />
|-<br />
| 2002 || [[2002 AIME I | AIME I]] || [[2002 AIME II | AIME II]]<br />
|-<br />
| 2001 || [[2001 AIME I | AIME I]] || [[2001 AIME II | AIME II]]<br />
|-<br />
| 2000 || [[2000 AIME I | AIME I]] || [[2000 AIME II | AIME II]]<br />
|-<br />
| 1999<br />
| colspan="2"| [[1999 AIME | AIME]]<br />
|-<br />
| 1998<br />
| colspan="2"| [[1998 AIME | AIME]]<br />
|-<br />
| 1997<br />
| colspan="2"| [[1997 AIME | AIME]] <br />
|-<br />
| 1996<br />
| colspan="2"| [[1996 AIME | AIME]]<br />
|-<br />
| 1995<br />
| colspan="2"| [[1995 AIME | AIME]]<br />
|-<br />
| 1994<br />
| colspan="2"| [[1994 AIME | AIME]]<br />
|-<br />
| 1993<br />
| colspan="2"| [[1993 AIME | AIME]]<br />
|-<br />
| 1992<br />
| colspan="2"| [[1992 AIME | AIME]]<br />
|-<br />
| 1991<br />
| colspan="2"| [[1991 AIME | AIME]]<br />
|-<br />
| 1990<br />
| colspan="2"| [[1990 AIME | AIME]]<br />
|-<br />
| 1989<br />
| colspan="2"| [[1989 AIME | AIME]]<br />
|-<br />
| 1988 <br />
| colspan="2"| [[1988 AIME | AIME]]<br />
|-<br />
| 1987<br />
| colspan="2"| [[1987 AIME | AIME]]<br />
|-<br />
| 1986<br />
| colspan="2"| [[1986 AIME | AIME]]<br />
|-<br />
| 1985<br />
| colspan="2"| [[1985 AIME | AIME]] <br />
|-<br />
| 1984 <br />
| colspan="2"| [[1984 AIME | AIME]] <br />
|-<br />
| 1983<br />
| colspan="2"| [[1983 AIME | AIME]]<br />
|}<br />
<br />
== Resources ==<br />
* [[American Mathematics Competitions]]<br />
* [[AMC Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
<br />
<br />
<br />
[[Category:Math Contest Problems]]</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=85918
Gmaas
2017-06-01T15:18:02Z
<p>Thothdragonfly2: /* Known Facts About gmaas */</p>
<hr />
<div>Editing Gmaas (section)<br />
<br />
=== Known Facts About gmaas === <br />
-Gmaas once slept on sseraj's private water bed, so sseraj locked him in the bathroom <br />
<br />
-Gmaas has superpowers that allow him to overcome the horrors of Mr. Toilet (while he was locked in the bathroom)<br />
<br />
- Gmaas once sat on an orange on a pile of AoPS books, causing an orange flavored equation explosion.<br />
<br />
-Gmaas once conquered the moon and imprinted his face on it until asteroids came.<br />
<br />
-Gmaas is a supreme overlord who must be given a gallon of milk and 4 cans of tuna.<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- themoocow is gmaas's cousin.<br />
<br />
- Gmaas is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=1}^{267795} [k(k+1)]+GMAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas. <br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
- He is distant relative of Mathcat1234<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1164. (Year: 2015) (gmaas code: 6666)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Number Theory 1229 (AGAIN)<br />
~Calculus 1226<br />
~Gallifrey Meeting #123456, 1888.<br />
~On his account of course.<br />
~On FEFF once<br />
~On Mt. Everest at 13:37 in the year 1337 on 1/3 37<br />
~Everywhere in outer space<br />
~Dalekanium Scrapland #5 1729<br />
~Pretty much every class message board. He names the thread "Student Survey"<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (Especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas once snuck into sseraj's email so he could give pianoman24 an extension in Introduction to Number Theory 1204. This was 1204 minutes after his sighting on 7/27/16.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
-Aha!! An impostor!! <br />
http://www.salford.ac.uk/environment-life-sciences/research/applied-archaeology/greater-manchester-archaeological-advisory-service<br />
(look at the acronym).<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99999}{100000}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
--This above fact is incorrect. math101010 has done this and commented with screenshot proof at the below link, and Gmaas was not summoned.<br />
https://artofproblemsolving.com/community/c287916h1291232<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmaas rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
-Gmaas highly enjoys destroying squeaky toys until he finds the squeaky part, then destroys the squeaky part<br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
-Gmaas has a secret hidden garden full of turnips under sseraj's house.<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance in the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything on sight? Nobody knows. (Except him.)<br />
<br />
-Gmaas lives on Gallifrey.<br />
<br />
-Gmaas is an excellent driver.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
-Donald Trump once sang "All Hail the Chief" to Gmaas, 3 days after being sworn in as US President.<br />
<br />
- Gmaas like to talk with rrusczyk from time to time.<br />
<br />
- gmaas can shoot fire from his paws.<br />
<br />
- Gmass is the reason why the USF has the longest thread<br />
<br />
- He (or she) is an avid watcher of the popular T.V. show "Bernie Sanders and the Gauntlet of DOOM"<br />
<br />
Summary: <br />
/* Known Facts About gmaas */ <br />
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© 2017<br />
AoPS Incorporated=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles<br />
<br />
- gmaas was an un-credited actor in the Doctor Who story Knock Knock, playing a Dryad. How he shrunk, we will never know.<br />
<br />
-oadaegan is also writing a story about him. He is continuing the book that was started by JpusheenS. when he is done he will post it here</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=85884
Gmaas
2017-05-29T15:34:53Z
<p>Thothdragonfly2: /* Known Facts About gmaas */</p>
<hr />
<div>Editing Gmaas (section)<br />
<br />
=== Known Facts About gmaas === <br />
-Gmaas once slept on sseraj's private water bed, so sseraj locked him in the bathroom <br />
<br />
-Gmaas has superpowers that allow him to overcome the horrors of Mr. Toilet (while he was locked in the bathroom)<br />
<br />
- Gmaas once sat on an orange on a pile of AoPS books, causing an orange flavored equation explosion.<br />
<br />
-Gmaas once conquered the moon and imprinted his face on it until asteroids came.<br />
<br />
-Gmaas is a supreme overlord who must be given a gallon of milk and 4 cans of tuna.<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- themoocow is gmaas's cousin.<br />
<br />
- Gmaas is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=1}^{267795} [k(k+1)]+GMAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas. <br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
- He is distant relative of Mathcat1234<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1164. (Year: 2015) (gmaas code: 6666)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Number Theory 1229 (AGAIN)<br />
~Calculus 1226<br />
~Gallifrey Meeting #123456, 1888.<br />
~On his account of course.<br />
~On FEFF once<br />
~On Mt. Everest at 13:37 in the year 1337 on 1/3 37<br />
~Everywhere in outer space<br />
~Dalekanium Scrapland #5 1729<br />
~Pretty much every class message board. He names the thread "Student Survey"<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (Especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas once snuck into sseraj's email so he could give pianoman24 an extension in Introduction to Number Theory 1204. This was 1204 minutes after his sighting on 7/27/16.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99999}{100000}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
--This above fact is incorrect. math101010 has done this and commented with screenshot proof at the below link, and Gmaas was not summoned.<br />
https://artofproblemsolving.com/community/c287916h1291232<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmaas rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
-Gmaas highly enjoys destroying squeaky toys until he finds the squeaky part, then destroys the squeaky part<br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
-Gmaas has a secret hidden garden full of turnips under sseraj's house.<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance in the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything on sight? Nobody knows. (Except him.)<br />
<br />
-Gmaas lives on Gallifrey.<br />
<br />
-Gmaas is an excellent driver.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
-Donald Trump once sang "All Hail the Chief" to Gmaas, 3 days after being sworn in as US President.<br />
<br />
- Gmaas like to talk with rrusczyk from time to time.<br />
<br />
- gmaas can shoot fire from his paws.<br />
<br />
- Gmass is the reason why the USF has the longest thread<br />
<br />
- He (or she) is an avid watcher of the popular T.V. show "Bernie Sanders and the Gauntlet of DOOM"<br />
<br />
Summary: <br />
/* Known Facts About gmaas */ <br />
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AoPS Incorporated=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles<br />
<br />
- gmaas was an un-credited actor in the Doctor Who story Knock Knock, playing a Dryad. How he shrunk, we will never know.<br />
<br />
-oadaegan is also writing a story about him. He is continuing the book that was started by JpusheenS. when he is done he will post it here</div>
Thothdragonfly2
https://artofproblemsolving.com/wiki/index.php?title=2004_AMC_8_Problems/Problem_17&diff=72838
2004 AMC 8 Problems/Problem 17
2015-11-08T20:37:09Z
<p>Thothdragonfly2: /* Solution */</p>
<hr />
<div>==Problem==<br />
Three friends have a total of <math>6</math> identical pencils, and each one has at least one pencil. In how many ways can this happen?<br />
<br />
<math>\textbf{(A)}\ 1\qquad \textbf{(B)}\ 3\qquad \textbf{(C)}\ 6\qquad \textbf{(D)}\ 10 \qquad \textbf{(E)}\ 12</math><br />
<br />
==Solution==<br />
For each person to have at least one pencil, assign one of the pencil to each of the three friends so that you have <math>3</math> left. In partitioning the remaining <math>3</math> pencils into <math>3</math> distinct groups, use [[Ball-and-urn]] to find the number of possibilities is <math>_{3+3-1} C _{3-1} = _10 C _2 = \boxed{\textbf{(D)}\ 10}</math>.<br />
<br />
==See Also==<br />
{{AMC8 box|year=2004|num-b=16|num-a=18}}<br />
{{MAA Notice}}</div>
Thothdragonfly2