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Page title matches

• Median of a triangle
  A '''median''' of a [[triangle]] is a [[cevian]] of the triangle that joins one [[vertex]] to the [[midpoint]] of In the following figure, <math>AM</math> is a median of triangle <math>ABC</math>.
  1 KB (185 words) - 20:24, 6 March 2024
• Power of a Point Theorem
  ...e lengths of the [[line segment]]s formed when two [[line]]s [[intersect]] a [[circle]] and each other. ...of the lines is [[tangent line|tangent]] to the circle while the other is a [[secant line|secant]] (middle figure). In this case, we have <math> AB^2 =
  5 KB (827 words) - 17:30, 21 February 2024
• Power of a Point Theorem/Introductory Problem 1
  Applying the [[Power of a Point Theorem]], we get <math> 3\cdot(3+5) = x (x+10) \rightarrow x^2 + 10x ''Back to the [[Power of a Point Theorem]].''
  448 bytes (67 words) - 15:15, 23 March 2020
• Power of a Point Theorem/Introductory Problem 2
  Applying the Power of a Point Theorem gives <math> 6\cdot x = 4\cdot 1 </math>, so <math> x = \frac ''Back to the [[Power of a Point Theorem]].''
  289 bytes (45 words) - 13:14, 16 July 2017
• Power of a Point Theorem/Introductory Problem 4
  ...</math> of a given circle are perpendicular to each other and intersect at a right angle at <math>E</math> . Given that <math> BE = 16, DE = 4, </math> pair A = (3,0);
  1 KB (177 words) - 02:14, 26 November 2020
• 2006 AIME A Problems/Problem 3
  44 bytes (5 words) - 12:21, 14 June 2009
• 2006 AIME A Problems/Problem 4
  44 bytes (5 words) - 12:03, 28 June 2009
• 2006 AIME A Problems/Problem 5
  44 bytes (5 words) - 18:41, 26 June 2009
• 2006 AIME A Problems/Problem 6
  44 bytes (5 words) - 12:05, 28 June 2009
• 2006 AIME A Problems/Problem 7
  44 bytes (5 words) - 13:37, 2 July 2009
• 2006 AIME A Problems/Problem 8
  44 bytes (5 words) - 13:38, 2 July 2009
• 2006 AIME A Problems/Problem 10
  45 bytes (5 words) - 11:33, 22 August 2009
• 2006 AIME A Problems/Problem 11
  45 bytes (5 words) - 15:15, 23 August 2009
• 2006 AIME A Problems/Problem 12
  45 bytes (5 words) - 11:15, 28 June 2009
• 2006 AIME A Problems/Problem 13
  45 bytes (5 words) - 12:14, 28 June 2009
• Graph of a function
  A '''graph''' is a visual representation of a [[function]]. If <math>f(x) = y</math> then the [[point]] <math>(x,y)</mat ...is the simplest thing to graph. The graph of <math>(2,5)</math> would be a dot 2 units to the right of <math>y</math>-axis and 5 units above the <math
  3 KB (497 words) - 05:11, 8 June 2023
• A:NOT
  64 bytes (10 words) - 17:30, 29 July 2020
• A:T
  52 bytes (7 words) - 15:40, 8 December 2020
• A:SAND
  51 bytes (7 words) - 07:44, 15 July 2020
• A:CP
  59 bytes (7 words) - 23:22, 11 July 2011
• A:PORT
  59 bytes (7 words) - 23:17, 11 July 2011
• A:DB
  39 bytes (5 words) - 18:26, 8 June 2020
• A:WL
  #REDIRECT [[A:AL]]
  18 bytes (3 words) - 18:07, 16 January 2024
• A:AL
  56 bytes (7 words) - 18:07, 16 January 2024
• Cycle of a permutation
  32 bytes (3 words) - 16:50, 31 October 2010
• A:FAQ
  26 bytes (3 words) - 23:58, 17 June 2011
• A:CR
  66 bytes (6 words) - 12:56, 19 August 2011
• If I have four boxes arranged in a $2 \times 2$ grid, in how many distinct ways can I place the digits $1$, $2$, and $3$ in the boxes, using each digit exactly once, such that each box contains at most one digit? (I only have one of each digit, so one box
  We can think of placing a <math>0</math> in the fourth box that will necessarily be empty. Now the pr
  328 bytes (60 words) - 17:19, 12 June 2022
• The perfect squares from $1$ through $2500,$ inclusive, are printed in a sequence of digits $1491625\ldots2500.$ How many digits are in the sequence?
  ...ts is <math>4^{2},</math> and the largest is <math>9^{2},</math> so that's a total of <math>6</math> perfect squares with <math>2</math> digits. ...s is <math>10^{2},</math> and the largest is <math>31^{2},</math> yielding a total of <math>22.</math>
  939 bytes (140 words) - 17:27, 12 June 2022
• A-Star Summer Math Camp
  #REDIRECT [[A* Summer Math Camp]]
  33 bytes (5 words) - 16:05, 28 November 2019
• A-Star Winter Math Camp
  A* Winter Math Camp has programs for 4th - 12th graders in Bay Area. The prog You can find more information about the A* Winter/Summer Math Camps here:
  629 bytes (95 words) - 00:49, 5 January 2018
• Creating a forum
  #REDIRECT [[AoPSWiki:FAQ#How do I create a forum%3F]]
  53 bytes (10 words) - 20:35, 17 September 2016
• A* Summer Math Camp
  ...an expert faculty via utilizing national and international competitions in a fun and challenging environment. You can find more information about the A* Summer Math Camp here:
  1 KB (177 words) - 19:31, 15 December 2017
• A* Winter Math Camp
  A* Winter Math Camp has programs for 4th - 12th graders in Bay Area. The prog You can find more information about the A* Winter/Summer Math Camps here:
  629 bytes (95 words) - 00:58, 5 January 2018
• Ali-A
  ...econd channel, More Ali-A, has a YouTube subscriber count of 5 million and a total of over 880 million video views. Ali-A plays only first-person shooter games on his main channel, but he plays a wide variety of games on his second channel, including Roblox, Pokemon GO,
  912 bytes (148 words) - 21:41, 17 July 2021
• 2008 AMC 12 A
  37 bytes (7 words) - 10:39, 5 May 2019
• Power of a Point
  #REDIRECT [[Power of a Point Theorem]]
  38 bytes (6 words) - 16:53, 15 April 2019
• Points $A$, $B$, $C$, and $D$ lie on a line, in that order. If $AB=2$ units, $BC=5$ units and $AD=14$ units, what is the ratio of $AC$ to $BD$? Express your answer as a common fraction.
  119 bytes (19 words) - 11:01, 20 March 2019
• A stock loses $10\%$ of its value on Monday. On Tuesday it loses $20\%$ of the value it had at the end of the day on Monday. What is the overall percent loss in value from the beginning of Monday to the end of Tuesday? Enter the answer as a percent.
  189 bytes (27 words) - 15:42, 15 April 2021
• Adopt a Page
  Adopt a page is an AoPS Wiki Charity devoted to adopting orphans.<br/> To adopt a page just go to the link below and pick out your favorite.<br/>
  354 bytes (57 words) - 15:52, 21 May 2019
• A choose b
  ...om{a}{b}=\frac{a!}{b!(a-b)!}</math>. This is assuming that of course <math>a \ge b </math>. a choose b counts the number of ways you can pick b things from a set of a things. For example <math>\binom{8}{2}=\frac{8!}{2!(8-2)!}=\frac{8(7)}{2}=\
  3 KB (407 words) - 20:03, 25 July 2021
• Let a and b be nonzero real numbers such that (2 - 7i)(a + bi)is pure imaginary. Find a/b.
  37 bytes (3 words) - 22:18, 7 September 2019
• In the diagram, the equilateral triangle has a base of $8$ m. What is the perimeter of the triangle?
  In the diagram, the equilateral triangle has a base of <math>8</math> m. What is the perimeter of the triangle?
  111 bytes (20 words) - 04:34, 11 May 2021
• The figure shows a square of side $y$ units divided into a square of side $x$ units and four congruent rectangles. What is the perimeter, in units, of one of the four congruent rectangles? Express your answer in terms of $y$.
  0 bytes (0 words) - 22:13, 4 March 2020
• Median of a Triangle in LaTeX
  The [[median]] of a [[triangle]] can be depicted using <math>\LaTeX</math>. We begin by drawing a basic triangle:
  865 bytes (142 words) - 14:06, 25 March 2020
• AoPS Online School/Introduction to Algebra A
  Please look [https://artofproblemsolving.com/school/course/algebra-a?gtmlist=Schedule_Side here]
  96 bytes (12 words) - 13:45, 25 September 2020
• Four fair coins are to be flipped. What is the probability that all four will be heads or all four will be tails? Express your answer as a common fraction.
  ...he deck is randomly arranged. What is the probability that the top card is a 5?
  527 bytes (81 words) - 21:02, 23 December 2020
• A:B
  28 bytes (4 words) - 12:49, 31 March 2021
• The local theater has one ticket window. In how many ways can six people line up to buy a ticket?
  ...ater has one ticket window. In how many ways can six people line up to buy a ticket?
  97 bytes (20 words) - 16:49, 28 February 2021
• Suppose that a and b are positive integers for which a has 3 factors and b has a factors. If b is divisible by a, then what is the least possible value of b?
  .../math> has <math>a</math> factors. If <math>b</math> is divisible by <math>a</math>, then what is the least possible value of $b?
  262 bytes (49 words) - 13:14, 3 August 2021

Page text matches

• Pythagorean Theorem
  ...n [[geometry]], and is one of the many tools in a good geometer's arsenal. A very large number of geometry problems can be solved by building right tria In these proofs, we will let <math>ABC </math> be any right triangle with a right angle at <math>{} C </math>.
  5 KB (886 words) - 13:51, 15 May 2024
• 2005 AMC 12A Problems/Problem 16
  ...and the third is tangent to the first circle and the <math>y</math>-axis. A circle of radius <math>r > s</math> is tangent to both axes and to the seco <math> (\mathrm {A}) \ 5 \qquad (\mathrm {B}) \ 6 \qquad (\mathrm {C})\ 8 \qquad (\mathrm {D})
  2 KB (307 words) - 15:30, 30 March 2024
• Main Page
  If you don't know much about how to edit a wiki, you might want to read the [[AoPS_Wiki:Tutorial|tutorial]] and the [[
  2 KB (258 words) - 14:05, 15 November 2023
• 2016 AMC 10A Problems/Problem 2
  <math>\textbf{(A)}\ 1 \qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 3\qquad\textbf{(D)}\ 4\qquad\ {{AMC10 box|year=2016|ab=A|num-b=1|num-a=3}}
  1 KB (190 words) - 10:58, 16 June 2023
• 2016 AMC 10A Problems/Problem 3
  <math>\textbf{(A)}\ \$37.50 \qquad\textbf{(B)}\ \$50.00\qquad\textbf{(C)}\ \$87.50\qquad\tex {{AMC10 box|year=2016|ab=A|num-b=2|num-a=4}}
  1 KB (176 words) - 10:58, 16 June 2023
• 2016 AMC 10A Problems/Problem 4
  <math>\textbf{(A) } -\frac{3}{8} \qquad \textbf{(B) } -\frac{1}{40} \qquad \textbf{(C) } 0 \ Do note that the denominator of the answer will be a multiple of 5 and 8 (40) and that the answer will also be negative. The onl
  2 KB (257 words) - 10:57, 16 June 2023
• 2016 AMC 10A Problems/Problem 5
  A rectangular box has integer side lengths in the ratio <math>1: 3: 4</math>. <math>\textbf{(A)}\ 48\qquad\textbf{(B)}\ 56\qquad\textbf{(C)}\ 64\qquad\textbf{(D)}\ 96\qqu
  1 KB (184 words) - 13:58, 22 August 2023
• 2016 AMC 10A Problems/Problem 6
  <math>\textbf{(A)}\ 13\qquad\textbf{(B)}\ 26\qquad\textbf{(C)}\ 102\qquad\textbf{(D)}\ 103\q ...act 1. Because 2 appears 10 times as a tens digit and 2 appears 3 times as a units digit, the answer is <math>10\cdot 10+1\cdot 3=\boxed{\textbf{(D) }10
  967 bytes (143 words) - 03:18, 27 June 2023
• 2016 AMC 10A Problems/Problem 7
  <math>\textbf{(A)}\ 50 \qquad\textbf{(B)}\ 60 \qquad\textbf{(C)}\ 75 \qquad\textbf{(D)}\ 90 Note: if the mean of a set is in the set, it can be discarded and the mean of the remaining number
  2 KB (268 words) - 18:19, 27 September 2023
• 2016 AMC 10A Problems/Problem 8
  <math>\textbf{(A)}\ 20 \qquad\textbf{(B)}\ 30\qquad\textbf{(C)}\ 35\qquad\textbf{(D)}\ 40\qq {{AMC10 box|year=2016|ab=A|num-b=7|num-a=9}}
  1 KB (169 words) - 14:59, 8 August 2021
• 2016 AMC 10A Problems/Problem 9
  A triangular array of <math>2016</math> coins has <math>1</math> coin in the <math>\textbf{(A)}\ 6\qquad\textbf{(B)}\ 7\qquad\textbf{(C)}\ 8\qquad\textbf{(D)}\ 9\qquad\t
  2 KB (315 words) - 15:34, 18 June 2022
• 2016 AMC 10A Problems/Problem 10
  A rug is made with three different colors as shown. The areas of the three di <math>\textbf{(A) } 1 \qquad \textbf{(B) } 2 \qquad \textbf{(C) } 4 \qquad \textbf{(D) } 6 \
  2 KB (337 words) - 14:56, 25 June 2023
• 2016 AMC 10A Problems/Problem 11
  <math>\textbf{(A)}\ 4\dfrac{3}{5} \qquad \textbf{(B)}\ 5\qquad \textbf{(C)}\ 5\dfrac{1}{4} \ ...{2}</math>, and slide the left and right pieces next to each other to form a parallelogram with base <math>1</math> and height <math>\frac{8}{2}</math>.
  8 KB (1,016 words) - 00:17, 31 December 2023
• 2016 AMC 10A Problems/Problem 16
  .../math>. Which of the following transformations will return <math>\triangle A''B''C''</math> to <math>\triangle ABC</math>? <math>\textbf{(A)}</math> counterclockwise rotation about the origin by <math>90^{\circ}</ma
  1 KB (235 words) - 14:52, 25 June 2023
• 2016 AMC 10A Problems/Problem 12
  ...<math>1</math> and <math>2016</math>, inclusive. Which of the following is a correct statement about the probability <math>p</math> that the product of <math>\textbf{(A)}\ p<\dfrac{1}{8}\qquad\textbf{(B)}\ p=\dfrac{1}{8}\qquad\textbf{(C)}\ \dfr
  2 KB (297 words) - 14:54, 25 June 2023
• 2016 AMC 10A Problems/Problem 13
  Five friends sat in a movie theater in a row containing <math>5</math> seats, numbered <math>1</math> to <math>5</ma <math>\textbf{(A) }1 \qquad \textbf{(B) } 2 \qquad \textbf{(C) } 3 \qquad \textbf{(D) } 4\qq
  2 KB (402 words) - 14:54, 25 June 2023
• List of United States elementary school mathematics competitions
  * [http://www.mindresearch.org/gameathon/ Game-a-thon] challenges students to design and build math games in this national c * [http://www.mathnasium.com/trimathlon National Trimathlon] is a fun filled Math Competition for kids in grades 3 through 6.
  4 KB (473 words) - 16:14, 1 May 2024
• List of United States middle school mathematics competitions
  ...ath/puzzle competitions for middle schoolers with a focus towards creating a fun and collaborative environment. * [[AMC 8]] hosted by the [[American Mathematics Competitions]] is a very large middle school math contest taken in-school. ([http://www.maa.org
  7 KB (792 words) - 10:14, 23 April 2024
• List of United States high school mathematics competitions
  * [http://homeschoolmathcontests.com Homeschool Math Contests] has a chart of math contests open to individuals (homeschooled and otherwise), an * [[Mu Alpha Theta]] -- hosts both local and a national competition.
  5 KB (583 words) - 17:26, 21 February 2024
• List of mathematics competitions
  This is a directory of internal links to more helpful pages about mathematics competi
  4 KB (406 words) - 11:20, 26 February 2021
• Alabama mathematics competitions
  Alabama's math competition community is fairly large and active and there are a number of quality contests around the state for both middle and high school * [[Mobile Math Olympiad]] -- Winners are invited to a national competition. [http://www.southalabama.edu/mathstat/info/schedules/
  3 KB (411 words) - 21:32, 8 December 2014
• Mathematics summer program
  .... These programs mostly take place during the summer, but some last during a significant portion of the academic year. Selection is important in creatin ...programs listed below offer [[mathematics scholarships]] or financial aid. A few of them are free. When you discover more that do, please add that infor
  14 KB (1,869 words) - 20:06, 18 May 2024
• MathILy (serious mathematics infused with levity)
  '''{MathILy, MathILy-Er}''' are a pair of intensive 5-week-long residential summer math programs for high sch ...ts for about 7 hours a day total, in a morning and evening shift, six days a week. The lead instructors are mathematicians with Ph.D.s and the apprenti
  5 KB (706 words) - 23:49, 29 January 2024
• Mathematics scholarships
  ...generous stipends for up to $90,000 for students training to teach math at a New York City high school. [http://www.mathforamerica.org/home website]
  3 KB (409 words) - 15:02, 28 January 2022
• Mathematics, science, and technology scholarships
  ...t important such competition in the world. The 3 ISEF winners each receive a <dollar/>50,000 scholarship. [http://www.sciserv.org/isef website] ...in exchange for summer internships and a year of work after graduation in a DoD lab. [http://smart.asee.org/ website]
  7 KB (851 words) - 10:54, 29 January 2022
• Proton Energy Scholarship
  * Current high school senior enrolled in a U.S. high school * Declare/Intend to declare a science or technology-related major (pure mathematics does not count)
  894 bytes (123 words) - 15:48, 13 June 2022
• Mathematics competitions
  Math competitions differ widely in difficulty and content. Most test a broader range of mathematics curriculum and some focus on methods of [[math
  698 bytes (88 words) - 14:36, 24 January 2024
• MATHCOUNTS
  ...nals Countdown Round participants in the past decade. '''MATHCOUNTS''' is a large national [[mathematics competition]] and [[mathematics coaching]] pro 8 problems are given 2 at a time. Students have 6 minutes to complete each set of two problems. Studen
  10 KB (1,506 words) - 21:31, 14 May 2024
• California mathematics competitions
  *[http://www.mathnasium.com/trimathlon National Trimathlon] is a fun filled Math Competition for kids in grades 3 through 6. * [[Southern California Mathematics Competition]], a new contest hosted by USC [https://engage.usc.edu/scmathcompetition/home/ w
  4 KB (514 words) - 04:02, 21 September 2023
• Georgia mathematics competitions
  *[[GACS - Dwight Love Math Tournament]]—a large middle and high school tournament [http://www.gacs.pvt.k12.ga.us/facs *[[GACS - Dwight Love Math Tournament]]&mdash;a large middle and high school tournament. [http://www.gacs.pvt.k12.ga.us/fac
  4 KB (565 words) - 13:24, 13 September 2019
• Hawaii mathematics competitions
  * [[Math Matters]] is a local mathematics contest for the county of Maui. *[[Hawaii Mathematics Bowl]] is a statewide mathematics contest for the state of Hawaii.
  989 bytes (123 words) - 15:34, 29 August 2017
• ICTM Math Contest
  ...consists of five members who work together on 20 questions for 25 minutes. A school may field as many five member teams as it wishes. The individual com A school team will qualify by taking first place in a region with four or more schools competing.
  8 KB (1,182 words) - 14:26, 3 April 2024
• Kansas mathematics competitions
  ...vidual competition, where participants take tests on various subjects, and a team competition, Mathletics. The 2006 competition had over 1000 participan ...12). It is divided into three divisions, grades 5-6, 7-9 and 10-12, and is a 40 minute, 5 question test. First, second and third in each division win <m
  3 KB (473 words) - 16:11, 16 June 2020
• Massachusetts mathematics competitions
  *[[Winchester Math Competition]] (WinMaC) is a competition for fourth and fifth (until 2024 where they switched it up to 4 ...yle round, and team is a team round. This test is taken over the course of a day
  5 KB (733 words) - 20:58, 27 April 2024
• Michigan mathematics competitions
  *[[Rapid Rabbit Relays]] (a middle school event at Detroit Country Day School) *[[Michigan Math Meet]], a high school math competition organized by University of Michigan undergradu
  2 KB (305 words) - 01:06, 30 November 2023
• Nebraska mathematics competitions
  ...Nebraska-Omaha Math Contest]]. Consists of two problem solving rounds and a speed round - for grades 9-12.
  2 KB (200 words) - 10:11, 29 December 2020
• Oklahoma mathematics competitions
  ...ed) students from that year's MathCounts state competition will compete as a mixed team. Oklahoma does not participate in the high school contest. *[http://rocketcitymath.org/ Rocket City Math League] is a contest for middle school and high schools students. Jenks and Norman North
  2 KB (279 words) - 19:41, 23 March 2017
• Texas mathematics competitions
  *[[Texas A&M University math Contest]] [http://www.math.tamu.edu/teaching/undergrad/hi *[http://www.math.tamu.edu/outreach/highschoolcontest/ Texas A&M University Math Contest] [http://www.math.tamu.edu/outreach/highschoolcon
  2 KB (255 words) - 07:55, 2 March 2023
• Utah mathematics competitions
  *Mission Math Utah [http://missionmathutah.com/ (website)] is a contest for elementary and middle school students in Utah, run by Utah high
  2 KB (231 words) - 13:07, 14 December 2019
• Washington mathematics competitions
  * The [[Mustang Math Tournament]] a national team-based competition hosted by mathematically inclined high scho
  2 KB (263 words) - 01:25, 11 June 2022
• West Virginia mathematics competitions
  ...ion, a mental math competition (where only exact answers are correct), and a physical estimation competition. Grades 4-9 compete in this format. Grades
  2 KB (216 words) - 16:59, 17 December 2016
• Art of Problem Solving
  For a list of all the current staff at AoPS and some previous staff go to the [[A * [[AoPSWiki:Table of Contents]] -- a basic guide to AoPSWiki content
  5 KB (667 words) - 17:09, 3 July 2023
• Resources for mathematics competitions
  ...itions]] leads to links for many of these competition homepages. Here are a few examples: * [https://brilliant.org/ Brilliant] is a website where one can solve problems to gain points and go to higher levels
  16 KB (2,152 words) - 21:46, 6 May 2024
• Mathematics forums
  ...actice teaching math, and to socialize with other math students. Here are a few popular online math forums. ...x.php AoPS Forums] with thousands of brilliant, active members. Over half a million posts ranging from middle school math all the way up to graduate le
  869 bytes (123 words) - 16:55, 11 January 2020
• Mathematics websites
  ...reat '''Mathematics websites''' around the [[internet]]. Here we organize a list of those sites we feel are best for students with high interest in [[m * [https://www.pims.math.ca/resources/publications/pi-sky Pi in the Sky] is a mathematics magazine for high school students.
  4 KB (516 words) - 03:01, 13 April 2023
• Math books
  ...https://artofproblemsolving.com/community/user/243060 cargeek9], currently a junior in high school. It covers the basics of algebra, geometry, combinato ...3265/ref=sr_1_1?ie=UTF8&s=books&qid=1204029652&sr=1-1 Complex Numbers from A to... Z] by [[Titu Andreescu]]
  24 KB (3,177 words) - 12:53, 20 February 2024
• Richard Rusczyk
  ...os Angeles. He graduated from Princeton University in 1993, and worked as a bond trader for D.E. Shaw & Company for four years.
  2 KB (254 words) - 09:04, 25 January 2019
• Math Olympiads for Elementary and Middle Schools
  '''Math Olympiads for Elementary and Middle Schools''' ('''MOEMS''') is a large and popular [[mathematics competition]] for students in grades 4 thro ...oblemsolving.com/Forum/index.php?f=343 MOEMS Forum] at [[AoPS]] as well as a private [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=38770 MOE
  2 KB (215 words) - 02:54, 18 November 2020
• Math textbooks
  This '''Math textbooks''' page is for compiling a list of [[textbook]]s for mathematics -- not problem books, contest books, ...https://artofproblemsolving.com/community/user/243060 cargeek9], currently a junior in high school. It covers the basics of algebra, geometry, combinato
  7 KB (901 words) - 14:11, 6 January 2022
• Math circles
  ...ca. Inspired by Eastern European teaching models, math circles often take a problem-discussion approach to teaching and learning [[mathematics]]. * The [[Art of Problem Solving Foundation]] runs a local programs initiative to support the establishment of programs includin
  3 KB (436 words) - 18:35, 26 August 2021

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