View source for User:Cxsmi

==Welcome==
Welcome to my user page! Here, I compile lists of solutions I write on this wiki and post original problems I come up with for the world to see. Please add one to the visit count below if this is your first time on my user page (I got the idea from [https://artofproblemsolving.com/wiki/index.php/User:MRENTHUSIASM MRENTHUSIASM]). Thanks for visiting my user page, and enjoy your stay!

==Visit Count==

</font></div><center><font size="100px">21</font></center>

==About Me==
Hi! I'm just another guy who happens to enjoy math. I often pop onto the AOPS wiki and look for problems to solve, and I sometimes even write solutions for them! I've starred ⭐ a few of my favorite solutions below; please feel free to take a look at any of them.

==Solutions==

===AIME===

# [https://artofproblemsolving.com/wiki/index.php?title=1987_AIME_Problems/Problem_11#Solution_3 1987 AIME Problem 11 Solution 3 ⭐]
# [https://artofproblemsolving.com/wiki/index.php/2012_AIME_I_Problems/Problem_2#Solution_3 2012 AIME I Problem 2 Solution 3]
# [https://artofproblemsolving.com/wiki/index.php/2024_AIME_I_Problems/Problem_6#Solution_5 2024 AIME I Problem 6 Solution 5]
# [https://artofproblemsolving.com/wiki/index.php/2000_AIME_II_Problems/Problem_1#Solution_4 2000 AIME II Problem 1 Solution 4]
# [https://artofproblemsolving.com/wiki/index.php/1985_AIME_Problems/Problem_12#Solution_9 1985 AIME Problem 12 Solution 9 ⭐]
# [https://artofproblemsolving.com/wiki/index.php/2012_AIME_I_Problems/Problem_8#Solution_7 2012 AIME I Problem 8 Solution 7]
# [https://artofproblemsolving.com/wiki/index.php/1987_AIME_Problems/Problem_14#Solution_4 1987 AIME Problem 14 Solution 4]
# [https://artofproblemsolving.com/wiki/index.php/1988_AIME_Problems/Problem_10#Solution_5 1988 AIME Problem 10 Solution 5]

===AMC 8===

# [https://artofproblemsolving.com/wiki/index.php/2012_AMC_8_Problems/Problem_19#Solution_6 2012 AMC 8 Problem 19 Solution 6]
# [https://artofproblemsolving.com/wiki/index.php/2002_AMC_8_Problems/Problem_17#Solution_3 2002 AMC 8 Problem 17 Solution 3]
# [https://artofproblemsolving.com/wiki/index.php/2007_AMC_8_Problems/Problem_20#Solution_8_.28Answer_Choices.29 2007 AMC 8 Problem 20 Solution 8]
# [https://artofproblemsolving.com/wiki/index.php/2018_AMC_8_Problems/Problem_23#Solution_5_.28Casework.29 2018 AMC 8 Problem 23 Solution 5 ⭐]
# [https://artofproblemsolving.com/wiki/index.php/2016_AMC_8_Problems/Problem_13#Solution_3_.28Casework.29 2016 AMC 8 Problem 13 Solution 3]
# [https://artofproblemsolving.com/wiki/index.php/2017_AMC_8_Problems/Problem_9#Solution_2 2017 AMC 8 Problem 9 Solution 2]
# [https://artofproblemsolving.com/wiki/index.php/2012_AMC_8_Problems/Problem_20#Solution_7 2012 AMC 8 Problem 20 Solution 7]
# [https://artofproblemsolving.com/wiki/index.php/2010_AMC_8_Problems/Problem_25#Solution_3_.28Recursion.29 2010 AMC 8 Problem 25 Solution 3]
# [https://artofproblemsolving.com/wiki/index.php/2024_AMC_8_Problems/Problem_11#Solution_3 2024 AMC 8 Problem 11 Solution 3 ⭐]
# [https://artofproblemsolving.com/wiki/index.php/2024_AMC_8_Problems/Problem_18#Solution_4 2024 AMC 8 Problem 18 Solution 4]
# [https://artofproblemsolving.com/wiki/index.php/2024_AMC_8_Problems/Problem_11#Solution_4 2024 AMC 8 Problem 11 Solution 4]
# [https://artofproblemsolving.com/wiki/index.php/2019_AMC_8_Problems/Problem_15#Solution_2 2019 AMC 8 Problem 15 Solution 2 ⭐]

===AJHSME===

# [https://artofproblemsolving.com/wiki/index.php/1997_AJHSME_Problems/Problem_22 1997 AJHSME Problem 22 Solution 1]
# [https://artofproblemsolving.com/wiki/index.php/1985_AJHSME_Problems/Problem_1#Solution_2 1985 AJHSME Problem 1 Solution 2]
# [https://artofproblemsolving.com/wiki/index.php/1985_AJHSME_Problem_24#Solution_2 1985 AJHSME Problem 24 Solution 2 ⭐]
# [https://artofproblemsolving.com/wiki/index.php/1985_AJHSME_Problems/Problem_2#Solution_5 1985 AJHSME Problem 2 Solution 5]

===AHSME===

# [https://artofproblemsolving.com/wiki/index.php/1950_AHSME_Problems/Problem_40#Solution_2 1950 AHSME Problem 40 Solution 2]
# [https://artofproblemsolving.com/wiki/index.php/1950_AHSME_Problems/Problem_41#Solution_2 1950 AHSME Problem 41 Solution 2]
# [https://artofproblemsolving.com/wiki/index.php/1972_AHSME_Problems/Problem_16#Solution_2 1972 AHSME Problem 16 Solution 2] 
# [https://artofproblemsolving.com/wiki/index.php/1950_AHSME_Problems/Problem_45#Solution_3 1950 AHSME Problem 45 Solution 3]
# [https://artofproblemsolving.com/wiki/index.php/1956_AHSME_Problems/Problem_23#Solution 1956 AHSME Problem 23 Solution 1]
# [https://artofproblemsolving.com/wiki/index.php/1982_AHSME_Problems/Problem_13#Solution_2 1982 AHSME Problem 13 Solution 2]
# [https://artofproblemsolving.com/wiki/index.php/1974_AHSME_Problems/Problem_4# 1974 AHSME Problem 4 Solution 2]

===AMC 10/12===

#[https://artofproblemsolving.com/wiki/index.php/2021_Fall_AMC_12B_Problems/Problem_12#Solution_6 2021 Fall AMC 12B Problem 12 Solution 6]
#[https://artofproblemsolving.com/wiki/index.php/2021_Fall_AMC_12B_Problems/Problem_1#Solution_4_.28Brute_Force.29 2021 Fall AMC 10B Problem 1/AMC 12B Problem 1 Solution 4]
#[https://artofproblemsolving.com/wiki/index.php/2003_AMC_10A_Problems/Problem_17#Solution_2 2003 AMC 10A Problem 17 Solution 2]
#[https://artofproblemsolving.com/wiki/index.php/2015_AMC_12B_Problems/Problem_8#Solution_3 2015 AMC 12B Problem 8 Solution 3]
#[https://artofproblemsolving.com/wiki/index.php/2003_AMC_12B_Problems/Problem_17#Solution_4 2003 AMC 12B Problem 17 Solution 4]
#[https://artofproblemsolving.com/wiki/index.php/2020_AMC_10A_Problems/Problem_18#Solution_6 2020 AMC 10A Problem 18 Solution 6]
#[https://artofproblemsolving.com/wiki/index.php/2021_AMC_10B_Problems/Problem_13#Solution_4 2021 AMC 10B Problem 13 Solution 4]
#[https://artofproblemsolving.com/wiki/index.php/2007_AMC_10B_Problems/Problem_23#Solution_4 2007 AMC 10B Problem 23 Solution 4]
#[https://artofproblemsolving.com/wiki/index.php/2005_AMC_10A_Problems/Problem_24#Solution_3 2005 AMC 10B Problem 24 Solution 3 ⭐]
#[https://artofproblemsolving.com/wiki/index.php/2008_AMC_12B_Problems/Problem_24#Solution_4_.28Pattern_Observation.29 2008 AMC 12B Problem 24 Solution 4 ⭐]
#[https://artofproblemsolving.com/wiki/index.php/2023_AMC_10B_Problems/Problem_24#Solution_2 2023 AMC 10B Problem 24 Solution 2 ⭐]
#[https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_9#Solution_5_.28Desperate.29 2023 AMC 10B Problem 13/AMC 12B Problem 9 Solution 5]
#[https://artofproblemsolving.com/wiki/index.php/2007_AMC_10B_Problems/Problem_5 2007 AMC 10B Problem 5 Solution 2]

==Significant Problems==
Here are some problems that, to me, have been significant on my math journey. This section is mainly for myself, but please please feel free to look at the problems if you're interested. Any referenced "difficulties" are from [https://artofproblemsolving.com/wiki/index.php/AoPS_Wiki:Competition_ratings this page].

# [https://artofproblemsolving.com/wiki/index.php/2017_AMC_10A_Problems/Problem_19 2017 AMC 10A Problem 19 - First AMC 10 Solution of Difficulty 2 or Higher]
# [https://artofproblemsolving.com/wiki/index.php/2007_AMC_8_Problems/Problem_25 2007 AMC 8 Problem 25 - First AMC 8 Final Five Solution]
# [https://artofproblemsolving.com/wiki/index.php/1984_AIME_Problems/Problem_1 1984 AIME Problem 1 - First AIME Solution]
# [https://artofproblemsolving.com/wiki/index.php/2005_AMC_12B_Problems/Problem_16 2005 AMC 12B Problem 16 - First AMC 12 Solution of Difficulty 2.5 or Higher]
# [https://artofproblemsolving.com/wiki/index.php/2016_AMC_10A_Problems/Problem_22 2016 AMC 10A Problem 21 - First AMC 10 Final Five Solution]
# [https://artofproblemsolving.com/wiki/index.php/1987_AIME_Problems/Problem_11 1987 AIME Problem 11 - First AIME Solution of Difficulty 4 or Higher; First AIME Solution of Difficulty 5 or Higher]
# [https://artofproblemsolving.com/wiki/index.php/2017_AMC_12A_Problems/Problem_23 2017 AMC 12A Problem 23 - First AMC 12 Final Five Solution]
# [https://artofproblemsolving.com/wiki/index.php/2001_AIME_I_Problems/Problem_14 2001 AIME I Problem 14 - First AIME Solution of Difficulty 6 or Higher]
# [https://artofproblemsolving.com/wiki/index.php/1984_USAMO_Problems/Problem_1 1984 USAMO Problem 1 - First USAMO Solution]
# [https://artofproblemsolving.com/wiki/index.php/2011_USAJMO_Problems/Problem_1 2011 USAJMO Problem 1 - First USAJMO Solution]

==Other Major Contributions==
# [https://artofproblemsolving.com/wiki/index.php/Titu%27s_Lemma Titu's Lemma (all examples and problems)] 

==Some Problems I Wrote==
All problems and solutions have been moved to [https://www.dropbox.com/scl/fi/v947aqcm4cvnrcqys8jzj/Problem_Collection-1.pdf?rlkey=7olfeq431g81rxoc89q51pavb&st=iscedhjf&dl=0 this page].

Last Updated: May 25, 2024


If you find an issue or have an alternate solution, please put it below! I'll add it to the document.