User contributions
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- 17:45, 16 March 2023 (diff | hist) . . (-1) . . 2023 AIME II Problems/Problem 13 (→Solution)
- 18:53, 16 February 2023 (diff | hist) . . (+1,844) . . N 2023 AIME II Problems/Problem 9 (Created page with "==Solution== Denote by <math>O_1</math> and <math>O_2</math> the centers of <math>\omega_1</math> and <math>\omega_2</math>, respectively. Let <math>XY</math> and <math>AO_1<...")
- 18:40, 16 February 2023 (diff | hist) . . (+76) . . 2023 AIME II Problems/Problem 14
- 18:39, 16 February 2023 (diff | hist) . . (+4,109) . . N 2023 AIME II Problems/Problem 14 (Created page with "==Solution (3-d vector analysis, analytic geometry) We introduce a Cartesian coordinate system to the diagram. We put the origin at <math>A</math>. We let the <math>z</math>-...")
- 18:05, 16 February 2023 (diff | hist) . . (+2,226) . . N 2023 AIME II Problems/Problem 12 (Created page with "==Solution== Because <math>M</math> is the midpoint of <math>BC</math>, following from the Steward's theorem, <math>AM = 2 \sqrt{37}</math>. Because <math>A</math>, <math>B<...")
- 16:58, 16 February 2023 (diff | hist) . . (+50) . . 2023 AIME II Problems/Problem 15 (→Solution)
- 16:57, 16 February 2023 (diff | hist) . . (+2,542) . . N 2023 AIME II Problems/Problem 15 (Created page with "==Solution== Denote <math>a_n = 23 b_n</math>. Thus, for each <math>n</math>, we need to find smallest positive integer <math>k_n</math>, such that \[ 23 b_n = 2^n k_n + 1 ....")
- 16:55, 16 February 2023 (diff | hist) . . (+2,794) . . N 2023 AIME II Problems/Problem 13 (Created page with "==Solution== Denote <math>a_n = \sec^n A + \tan^n A</math>. For any <math>k</math>, we have <cmath> \begin{align*} a_n & = \sec^n A + \tan^n A \\ & = \left( \sec^{n-k} A + \t...")
- 16:51, 16 February 2023 (diff | hist) . . (+2) . . 2023 AIME II Problems/Problem 11 (→Solution)
- 16:51, 16 February 2023 (diff | hist) . . (+6,139) . . N 2023 AIME II Problems/Problem 11 (Created page with "==Solution== Denote by <math>\mathcal C</math> a collection of 16 distinct subsets of <math>\left\{ 1, 2, 3, 4, 5 \right\}</math>. Denote <math>N = \min \left\{ |S|: S \in \m...")
- 16:48, 16 February 2023 (diff | hist) . . (+3,140) . . 2023 AIME II Problems/Problem 7
- 16:46, 16 February 2023 (diff | hist) . . (+2,175) . . 2023 AIME II Problems/Problem 5
- 16:26, 16 February 2023 (diff | hist) . . (+2,798) . . 2023 AIME II Problems/Problem 6
- 16:14, 16 February 2023 (diff | hist) . . (+1,139) . . N 2023 AIME II Problems/Problem 8 (Created page with "==Solution== For any <math>k\in Z</math>, we have, <cmath> \begin{align*} & \left( \omega^{3k} + \omega^k + 1 \right) \left( \omega^{3\left( 7 - k \right)} + \omega^{\left( 7...")
- 16:11, 16 February 2023 (diff | hist) . . (+2) . . 2023 AIME II Problems/Problem 4 (→Solution 2)
- 16:11, 16 February 2023 (diff | hist) . . (+2,131) . . 2023 AIME II Problems/Problem 4
- 17:09, 8 February 2023 (diff | hist) . . (+2,565) . . 2023 AIME I Problems/Problem 8
- 17:08, 8 February 2023 (diff | hist) . . (+1,444) . . 2023 AIME I Problems/Problem 6
- 14:23, 8 February 2023 (diff | hist) . . (+85) . . 2023 AIME I Problems/Problem 9 (→Solution)
- 14:22, 8 February 2023 (diff | hist) . . (+2,153) . . 2023 AIME I Problems/Problem 9
- 13:49, 8 February 2023 (diff | hist) . . (+1,982) . . 2023 AIME I Problems/Problem 12
- 13:43, 8 February 2023 (diff | hist) . . (+4,087) . . N 2023 AIME I Problems/Problem 13 (Created page with "Each face of two noncongruent parallelepipeds is a rhombus whose diagonals have lengths <math>\sqrt{21}</math> and <math>\sqrt{31}</math>. The ratio of the volume of the large...")
- 13:39, 8 February 2023 (diff | hist) . . (+3,751) . . 2023 AIME I Problems/Problem 7
- 13:38, 8 February 2023 (diff | hist) . . (+72) . . 2023 AIME I Problems/Problem 5 (→Solution 3 (Analytic geometry))
- 13:37, 8 February 2023 (diff | hist) . . (+136) . . 2023 AIME I Problems/Problem 3
- 13:35, 8 February 2023 (diff | hist) . . (+1,146) . . 2023 AIME I Problems/Problem 4
- 13:06, 8 February 2023 (diff | hist) . . (+4,242) . . N 2023 AIME I Problems/Problem 14 (Created page with "==Solution (Matrix analysis, permutation)== Define a <math>12 \times 12</math> matrix <math>X</math>. Each entry <math>x_{i, j}</math> denotes the number of movements the lon...")
- 12:59, 8 February 2023 (diff | hist) . . (+479) . . 2023 AIME I Problems/Problem 2
- 12:39, 8 February 2023 (diff | hist) . . (+2,259) . . 2023 AIME I Problems/Problem 5
- 12:37, 8 February 2023 (diff | hist) . . (+11) . . 2023 AIME I Problems/Problem 10 (→Bounds and Decimal Part Analysis)
- 12:36, 8 February 2023 (diff | hist) . . (+3,255) . . 2023 AIME I Problems/Problem 10
- 12:32, 8 February 2023 (diff | hist) . . (+111) . . 2023 AIME I Problems/Problem 15
- 12:31, 8 February 2023 (diff | hist) . . (+28) . . 2023 AIME I Problems/Problem 15
- 12:31, 8 February 2023 (diff | hist) . . (+130) . . 2023 AIME I Problems/Problem 15 (→Solution)
- 12:29, 8 February 2023 (diff | hist) . . (+6) . . 2023 AIME I Problems/Problem 15 (→Solution)
- 12:28, 8 February 2023 (diff | hist) . . (+11) . . 2023 AIME I Problems/Problem 15 (→Solution)
- 12:28, 8 February 2023 (diff | hist) . . (+5,256) . . 2023 AIME I Problems/Problem 15
- 12:25, 8 February 2023 (diff | hist) . . (+74) . . 2023 AIME I Problems/Problem 11 (→Video Solution)
- 12:25, 8 February 2023 (diff | hist) . . (+2,716) . . 2023 AIME I Problems/Problem 11
- 14:38, 17 November 2022 (diff | hist) . . (+2,427) . . 2022 AMC 12B Problems/Problem 24
- 14:37, 17 November 2022 (diff | hist) . . (+536) . . N 2022 AMC 12B Problems/Problem 25 (Created page with "==Problem== Four regular hexagons surround a square with side length 1, each one sharing an edge with the square, as shown in the figure below. The area of the resulting 12-s...")
- 14:34, 17 November 2022 (diff | hist) . . (+2,706) . . N 2022 AMC 12B Problems/Problem 24 (Created page with "==Problem== The figure below depicts a regular 7-gon inscribed in a unit circle. What is the sum of the 4th powers of the lengths of all 21 of its edges and diagonals? ==So...")
- 14:30, 17 November 2022 (diff | hist) . . (+1,563) . . 2022 AMC 12B Problems/Problem 17
- 14:28, 17 November 2022 (diff | hist) . . (-91) . . 2022 AMC 12B Problems/Problem 17 (→Problem)
- 14:26, 17 November 2022 (diff | hist) . . (+1,643) . . 2022 AMC 12B Problems
- 14:23, 17 November 2022 (diff | hist) . . (-55) . . 2022 AMC 12B Problems
- 14:21, 17 November 2022 (diff | hist) . . (+4,193) . . N 2022 AMC 10B Problems/Problem 18 (Created page with "==Problem== Consider systems of three linear equations with unknowns <math>x</math>, <math>y</math>, and <math>z</math>, <cmath> \begin{align*} a_1 x + b_1 y + c_1 z & = 0 \\...")
- 14:17, 17 November 2022 (diff | hist) . . (-2) . . 2022 AMC 10B Problems/Problem 25 (→Solution (Base-2 Analysis))
- 14:16, 17 November 2022 (diff | hist) . . (+28) . . 2022 AMC 10B Problems/Problem 25 (→Solution (Base-2 Analysis))
- 14:16, 17 November 2022 (diff | hist) . . (+2,159) . . N 2022 AMC 10B Problems/Problem 25 (Created page with "==Problem== Let <math>x_0, x_1, x_2, \cdots</math> be a sequence of numbers, where each <math>x_k</math> is either 0 or 1. For each positive integer <math>n</math>, define <c...")
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