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  • 22:33, 20 March 2024 (diff | hist) . . (+3,267). . N 2024 USAMO Problems(Created page with "\begin{enumerate} \item[(1)] Find all integers <math>n \geq 3</math> such that the following property holds: if we list the divisors of <math>n !</math> in increasing orde...")
  • 22:33, 20 March 2024 (diff | hist) . . (+266). . N 2024 USAMO Problems/Problem 1(Created page with "Find all integers <math>n \geq 3</math> such that the following property holds: if we list the divisors of <math>n !</math> in increasing order as <math>1=d_1<d_2<\cdots<d_k=n...")
  • 22:32, 20 March 2024 (diff | hist) . . (+377). . N 2024 USAMO Problems/Problem 2(Created page with "Let <math>S_1, S_2, \ldots, S_{100}</math> be finite sets of integers whose intersection is not empty. For each non-empty <math>T \subseteq\left\{S_1, S_2, \ldots, S_{100}\rig...")
  • 22:32, 20 March 2024 (diff | hist) . . (+708). . N 2024 USAMO Problems/Problem 3(Created page with "Let <math>m</math> be a positive integer. A triangulation of a polygon is <math>m</math>-balanced if its triangles can be colored with <math>m</math> colors in such a way that...") (current)
  • 22:32, 20 March 2024 (diff | hist) . . (+386). . N 2024 USAMO Problems/Problem 4(Created page with "Let <math>m</math> and <math>n</math> be positive integers. A circular necklace contains <math>m n</math> beads, each either red or blue. It turned out that no matter how the...")
  • 22:30, 20 March 2024 (diff | hist) . . (+425). . N 2024 USAMO Problems/Problem 5(Created page with "Point <math>D</math> is selected inside acute triangle <math>A B C</math> so that <math>\angle D A C=</math> <math>\angle A C B</math> and <math>\angle B D C=90^{\circ}+\angle...")
  • 22:28, 20 March 2024 (diff | hist) . . (+919). . N 2024 USAMO Problems/Problem 6(Created page with "Let <math>n>2</math> be an integer and let <math>\ell \in\{1,2, \ldots, n\}</math>. A collection <math>A_1, \ldots, A_k</math> of (not necessarily distinct) subsets of <math>\...") (current)