16 March 2023

• 17:4517:45, 16 March 2023 diff hist −1 2023 AIME II Problems/Problem 13 →Solution

16 February 2023

• 18:5318:53, 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<..."
• 18:4018:40, 16 February 2023 diff hist +76 2023 AIME II Problems/Problem 14 No edit summary
• 18:3918:39, 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>-..."
• 18:0518:05, 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<..."
• 16:5816:58, 16 February 2023 diff hist +50 2023 AIME II Problems/Problem 15 →Solution
• 16:5716:57, 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 ...."
• 16:5516:55, 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..."
• 16:5116:51, 16 February 2023 diff hist +2 2023 AIME II Problems/Problem 11 →Solution
• 16:5116:51, 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..."
• 16:4816:48, 16 February 2023 diff hist +3,140 2023 AIME II Problems/Problem 7 No edit summary
• 16:4616:46, 16 February 2023 diff hist +2,175 2023 AIME II Problems/Problem 5 No edit summary
• 16:2616:26, 16 February 2023 diff hist +2,798 2023 AIME II Problems/Problem 6 No edit summary
• 16:1416:14, 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..."
• 16:1116:11, 16 February 2023 diff hist +2 2023 AIME II Problems/Problem 4 →Solution 2
• 16:1116:11, 16 February 2023 diff hist +2,131 2023 AIME II Problems/Problem 4 No edit summary

8 February 2023

• 17:0917:09, 8 February 2023 diff hist +2,565 2023 AIME I Problems/Problem 8 No edit summary
• 17:0817:08, 8 February 2023 diff hist +1,444 2023 AIME I Problems/Problem 6 No edit summary
• 14:2314:23, 8 February 2023 diff hist +85 2023 AIME I Problems/Problem 9 →Solution
• 14:2214:22, 8 February 2023 diff hist +2,153 2023 AIME I Problems/Problem 9 No edit summary
• 13:4913:49, 8 February 2023 diff hist +1,982 2023 AIME I Problems/Problem 12 No edit summary
• 13:4313:43, 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..."
• 13:3913:39, 8 February 2023 diff hist +3,751 2023 AIME I Problems/Problem 7 No edit summary
• 13:3813:38, 8 February 2023 diff hist +72 2023 AIME I Problems/Problem 5 →Solution 3 (Analytic geometry)
• 13:3713:37, 8 February 2023 diff hist +136 2023 AIME I Problems/Problem 3 No edit summary
• 13:3513:35, 8 February 2023 diff hist +1,146 2023 AIME I Problems/Problem 4 No edit summary
• 13:0613:06, 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..."
• 12:5912:59, 8 February 2023 diff hist +479 2023 AIME I Problems/Problem 2 No edit summary
• 12:3912:39, 8 February 2023 diff hist +2,259 2023 AIME I Problems/Problem 5 No edit summary
• 12:3712:37, 8 February 2023 diff hist +11 2023 AIME I Problems/Problem 10 →Bounds and Decimal Part Analysis
• 12:3612:36, 8 February 2023 diff hist +3,255 2023 AIME I Problems/Problem 10 No edit summary
• 12:3212:32, 8 February 2023 diff hist +111 2023 AIME I Problems/Problem 15 No edit summary
• 12:3112:31, 8 February 2023 diff hist +28 2023 AIME I Problems/Problem 15 No edit summary
• 12:3112:31, 8 February 2023 diff hist +130 2023 AIME I Problems/Problem 15 →Solution
• 12:2912:29, 8 February 2023 diff hist +6 2023 AIME I Problems/Problem 15 →Solution
• 12:2812:28, 8 February 2023 diff hist +11 2023 AIME I Problems/Problem 15 →Solution
• 12:2812:28, 8 February 2023 diff hist +5,256 2023 AIME I Problems/Problem 15 No edit summary
• 12:2512:25, 8 February 2023 diff hist +74 2023 AIME I Problems/Problem 11 →Video Solution
• 12:2512:25, 8 February 2023 diff hist +2,716 2023 AIME I Problems/Problem 11 No edit summary

17 November 2022

• 14:3814:38, 17 November 2022 diff hist +2,427 2022 AMC 12B Problems/Problem 24 No edit summary
• 14:3714:37, 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..."
• 14:3414:34, 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..."
• 14:3014:30, 17 November 2022 diff hist +1,563 2022 AMC 12B Problems/Problem 17 No edit summary
• 14:2814:28, 17 November 2022 diff hist −91 2022 AMC 12B Problems/Problem 17 →Problem
• 14:2614:26, 17 November 2022 diff hist +1,643 2022 AMC 12B Problems No edit summary
• 14:2314:23, 17 November 2022 diff hist −55 2022 AMC 12B Problems No edit summary
• 14:2114:21, 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 \\..."
• 14:1714:17, 17 November 2022 diff hist −2 2022 AMC 10B Problems/Problem 25 →Solution (Base-2 Analysis)
• 14:1614:16, 17 November 2022 diff hist +28 2022 AMC 10B Problems/Problem 25 →Solution (Base-2 Analysis)
• 14:1614:16, 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..."