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AOPS Contributions

AJHSME

  1. 1994 AJHSME Problem 25 Solution 2 (Number Theory)

AHSME

  1. 1991 AHSME Problem 30 Solution 2 (Combinatorics)
  2. 1994 AHSME Problem 28 Solution 2 (Analytic Geometry)
  3. 1994 AHSME Problem 29 Solution 2 (Geometry, Trigonometry)
  4. 1995 AHSME Problem 30 Solution 2 (3D Geometry)
  5. 1996 AHSME Problem 27 Solution 3 (3D Geometry)
  6. 1996 AHSME Problem 30 Solution 4 (Geometry, Trigonometry)
  7. 1996 AHSME Problem 30 Solution 5 (Geometry, Trigonometry)
  8. 1996 AHSME Problem 30 Solution 6 (Geometry)
  9. 1997 AHSME Problem 30 Solution 3 (Combinatorics)
  10. 1998 AHSME Problem 28 Solution 4 (Geometry, Trigonometry)
  11. 1999 AHSME Problem 25 Solution 4 (Number Theory)
  12. 1999 AHSME Problem 27 Supplement (Trigonometry)
  13. 1999 AHSME Problem 28 Solution 2 (Algebra)
  14. 1999 AHSME Problem 29 Solution 2 (3D Geometry)

AMC 8

  1. 2004 AMC8 Problem 14 Solution 1 (Geometry)
  2. 2022 AMC8 Problem 25 Solution 4 (Probability)
  3. 2022 AMC8 Problem 25 Remark (Probability)

AMC 10

  1. 2013 AMC10A Problem 24 Graph Theory Insight (Graph Theory)
  2. 2013 AMC10A Problem 25 Solution 5 (Discrete Geometry)
  3. 2013 AMC10B Problem 22 Remark (Number Theory)
  4. 2014 AMC10A Problem 18 Solution 2 (Analytic Geometry)
  5. 2014 AMC10A Problem 18 Solution 3 (Analytic Geometry)
  6. 2014 AMC10A Problem 22 Solution 6 (Geometry)
  7. 2014 AMC10A Problem 22 Solution 7 (Geometry)
  8. 2015 AMC10A Problem 21 Solution 3 (3D Geometry)
  9. 2015 AMC10A Problem 22 Solution 4 (Combinatorics)
  10. 2015 AMC10A Problem 24 Solution 3 (Geometry)
  11. 2015 AMC10B Problem 19 Solution 3 (Geometry)
  12. 2016 AMC10A Problem 20 Solution 3 (Combinatorics)
  13. 2016 AMC10B Problem 19 Solution 4 (Geometry)
  14. 2016 AMC10B Problem 19 Solution 5 (Geometry)
  15. 2016 AMC10B Problem 22 Solution 4 (Graph Theory)
  16. 2016 AMC10B Problem 25 Solution 1 Supplement (Number Theory)
  17. 2016 AMC10B Problem 25 Solution 3 (Number Theory)
  18. 2016 AMC10B Problem 25 Solution 4 (Number Theory)
  19. 2016 AMC10B Problem 25 Remark (Number Theory)
  20. 2017 AMC10B Problem 17 Solution 4 (Combinatorics)
  21. 2017 AMC10B Problem 25 Solution 4 (Number Theory)
  22. 2018 AMC10A Problem 10 Solution 8 (Analytic Geometry)
  23. 2018 AMC10A Problem 22 Solution 6 (Number Theory)
  24. 2018 AMC10B Problem 18 Solution 6 (Combinatorics)
  25. 2018 AMC10B Problem 24 Solution 4 (Geometry)
  26. 2018 AMC10B Problem 25 Solution 6 (Algebra)
  27. 2019 AMC10A Problem 22 Solution 3 (Probability)
  28. 2019 AMC10A Problem 24 Solution 2 (Algebra)
  29. 2019 AMC10B Problem 22 Solution 4 (Probability, Markov Chain)
  30. 2019 AMC10B Problem 25 Solution 6 (Combinatorics)
  31. 2020 AMC10A Problem 20 Solution 7 (Geometry)
  32. 2020 AMC10A Problem 24 Solution 9 (Number Theory)
  33. 2020 AMC10A Problem 24 Solution 10 (Number Theory)
  34. 2020 AMC10A Problem 24 Solution 11 (Number Theory)
  35. 2020 AMC10B Problem 13 Solution 3 (Combinatorics)
  36. 2020 AMC10B Problem 21 Solution 6 (Geometry)
  37. 2020 AMC10B Problem 23 Solution 5 (Group Theory)
  38. 2020 AMC10B Problem 24 Solution 8 (Algebra)
  39. 2020 AMC10B Problem 25 Solution 7 (Combinatorics)
  40. 2021 Spring AMC10A Problem 23 Solution 8 (Probability, Markov Chain)
  41. 2021 Spring AMC10A Problem 24 Solution 3 (Analytic Geometry)
  42. 2021 Spring AMC10A Problem 25 Solution 4 (Combinatorics)
  43. 2021 Spring AMC10B Problem 25 Solution 4 (Analytic Geometry)
  44. 2021 Spring AMC10B Problem 25 Solution 5 (Analytic Geometry)
  45. 2021 Spring AMC10B Problem 25 Remark (Analytic Geometry)
  46. 2021 Fall AMC10A Problem 24 Solution 4 (Graph Theory)
  47. 2021 Fall AMC10B Problem 12 Solution 1 (Algebra)
  48. 2021 Fall AMC10B Problem 20 Remark (Probability)
  49. 2021 Fall AMC10B Problem 23 Solution 2 (Graph Theory)
  50. 2021 Fall AMC10B Problem 24 Solution 1 (Graph Theory)

AMC 12

  1. 2000 AMC12 Problem 25 Solution 5 (Graph Theory)
  2. 2001 AMC12 Problem 22 Solution 5 (Geometry)
  3. 2001 AMC12 Problem 24 Solution 5 (Geometry, Trigonometry)
  4. 2002 AMC12A Problem 23 Solution 4 (Geometry)
  5. 2002 AMC12A Problem 23 Solution 5 (Geometry, Trigonometry)
  6. 2003 AMC12A Problem 17 Solution 8 (Geometry)
  7. 2003 AMC12B Problem 21 Solution 2 (Analytic Geometry)
  8. 2003 AMC12B Problem 25 Solution 3 (Probability)
  9. 2007 AMC12B Problem 23 Solution 3 (Geometry)
  10. 2009 AMC12B Problem 24 Solution 4 (Trigonometry)
  11. 2010 AMC12A Problem 23 Remark (Number Theory)
  12. 2010 AMC12B Problem 23 Solution 4 (Algebra)
  13. 2011 AMC12B Problem 20 Solution 6 (Geometry, Trigonometry)
  14. 2012 AMC12B Problem 17 Solution 6 (Geometry, Trigonometry)
  15. 2012 AMC12B Problem 18 Solution 5 (Combinatorics)
  16. 2012 AMC12B Problem 19 Solution 3 (3D Geometry)
  17. 2012 AMC12B Problem 20 Solution 2 (Geometry)
  18. 2012 AMC12B Problem 21 Solution 4 (Geometry, Trigonometry)
  19. 2013 AMC12A Problem 16 Solution 4 (Algebra)
  20. 2013 AMC12A Problem 18 Solution 3 (3D Geometry)
  21. 2013 AMC12B Problem 24 Solution 6 (Geometry)
  22. 2013 AMC12B Problem 25 Solution 3 (Algebra)
  23. 2014 AMC12A Problem 20 Remark (Geometry)
  24. 2014 AMC12A Problem 22 Solution 2 (Number Theory)
  25. 2014 AMC12B Problem 21 Solution 6 (Geometry)
  26. 2014 AMC12B Problem 22 Remark (Probability, Markov Chain)
  27. 2014 AMC12B Problem 24 Solution 4 (Geometry)
  28. 2016 AMC12A Problem 20 Solution 5 (Algebra)
  29. 2016 AMC12A Problem 21 Remark (Geometry)
  30. 2016 AMC12B Problem 15 Solution 4 (Combinatorics)
  31. 2017 AMC12A Problem 22 Remark (Probability, Markov Chain)
  32. 2017 AMC12A Problem 24 Solution 4 (Geometry, Trigonometry)
  33. 2017 AMC12A Problem 25 Solution 6 (Algebra & Probability)
  34. 2017 AMC12B Problem 22 Solution 5 (Probability)
  35. 2017 AMC12B Problem 24 Solution 3 (Geometry)
  36. 2018 AMC12A Problem 21 Solution 4 (Algebra)
  37. 2018 AMC12A Problem 21 Solution 5 (Algebra)
  38. 2018 AMC12A Problem 21 Solution 6 (Algebra)
  39. 2018 AMC12B Problem 25 Solution 6 (Geometry, Trigonometry)
  40. 2019 AMC12A Problem 20 Solution 4 (Probability)
  41. 2020 AMC12A Problem 24 Solution 9 (Geometry, Trigonometry)
  42. 2020 AMC12B Problem 25 Solution 2 (Trigonometry)
  43. 2020 AMC12B Problem 25 Solution 4 (Calculus)
  44. 2021 Spring AMC12A Problem 24 Solution 5 (Geometry, Trigonometry)
  45. 2021 Spring AMC12B Problem 18 Solution 2 (Algebra)
  46. 2021 Spring AMC12B Problem 20 Solution 7 (Algebra)
  47. 2021 Spring AMC12B Problem 24 Solution 6 (Geometry)
  48. 2021 Fall AMC12B Problem 24 Solution 1 (Geometry, Trigonometry)
  49. 2022 AMC12A Problem 20 Solution 5 (Geometry, Trigonometry)
  50. 2022 AMC12A Problem 23 Solution 5 (Calculus)
  51. 2022 AMC12A Problem 25 Solution 3 (Geometry, Number Theory)
  52. 2022 AMC12B Problem 19 Solution 3 (Geometry, Trigonometry)
  53. 2022 AMC12B Problem 24 Supplement (Trigonometry)
  54. 2022 AMC12B Problem 25 Solution 3 (Geometry)
  55. 2023 AMC12A Problem 20 Solution 3 (Combinatorics)
  56. 2023 AMC12A Problem 21 Solution 6 (Probability)
  57. 2023 AMC12A Problem 25 Solution 1 (Trigonometry)
  58. 2023 AMC12B Problem 16 Solution 3 (Number Theory)
  59. 2023 AMC12B Problem 17 Solution 2 (Geometry, Trigonometry)
  60. 2023 AMC12B Problem 17 Solution 3 (Geometry, Trigonometry)
  61. 2023 AMC12B Problem 18 Solution 3 (Algebra)
  62. 2023 AMC12B Problem 20 Solution 1 (Geometry, Trigonometry)
  63. 2023 AMC12B Problem 25 Supplement (Geometry, Trigonometry)

AIME

  1. 1983 AIME Problem 4 Solution 6 (Geometry, Trigonometry)
  2. 1983 AIME Problem 7 Solution 7 (Combinatorics)
  3. 1985 AIME Problem 12 Solution 5 (Probability)
  4. 1997 AIME Problem 9 Solution 4 (Algebra)
  5. 2001 AIME II Problem 9 Solution 3 (Combinatorics)
  6. 2021 AIME I Problem 12 Solution 2 (Probability, Markov Chain)
  7. 2021 AIME I Problem 12 Remark (Probability, Markov Chain)
  8. 2021 AIME II Problem 8 Solution 2 (Probability, Markov Chain)
  9. 2021 AIME II Problem 8 Remark (Probability, Markov Chain)
  10. 2022 AIME I Problem 8 Solution 2 (Geometry)
  11. 2022 AIME II Problem 2 Solution (Probability)
  12. 2022 AIME II Problem 5 Solution 1 (Number Theory)
  13. 2022 AIME II Problem 6 Solution 1 (Algebra)
  14. 2022 AIME II Problem 7 Solution 1 (Geometry)
  15. 2022 AIME II Problem 8 Solution 2 Supplement (Number Theory)
  16. 2022 AIME II Problem 8 Solution 3 Supplement (Number Theory)
  17. 2022 AIME II Problem 14 Solution (Algebra)