User contributions
- 01:05, 23 September 2020 (diff | hist) . . (-35) . . 2020 IMO Problems/Problem 6
- 01:03, 23 September 2020 (diff | hist) . . (+623) . . N 2020 IMO Problems/Problem 6 (Created page with "Problem 6. Prove that there exists a positive constant c such that the following statement is true: Consider an integer n > 1, and a set S of n points in the plane such that t...")
- 01:02, 23 September 2020 (diff | hist) . . (+329) . . N 2020 IMO Problems/Problem 5 (Created page with "Problem 5. A deck of n > 1 cards is given. A positive integer is written on each card. The deck has the property that the arithmetic mean of the numbers on each pair of cards...")
- 01:02, 23 September 2020 (diff | hist) . . (+803) . . N 2020 IMO Problems/Problem 4 (Created page with "Problem 4. There is an integer n > 1. There are n 2 stations on a slope of a mountain, all at different altitudes. Each of two cable car companies, A and B, operates k cable c...")
- 01:01, 23 September 2020 (diff | hist) . . (+360) . . N 2020 IMO Problems/Problem 3 (Created page with "Problem 3. There are 4n pebbles of weights 1, 2, 3, . . . , 4n. Each pebble is coloured in one of n colours and there are four pebbles of each colour. Show that we can arrange...")
- 01:00, 23 September 2020 (diff | hist) . . (+9) . . 2020 IMO Problems/Problem 2
- 00:56, 23 September 2020 (diff | hist) . . (+139) . . N 2020 IMO Problems/Problem 2 (Created page with "Problem 2. The real numbers a, b, c, d are such that a ≥ b ≥ c ≥ d > 0 and a + b + c + d = 1. Prove that (a+2b+3c+4d)<math>a^a</math>")
- 00:55, 23 September 2020 (diff | hist) . . (+348) . . N 2020 IMO Problems/Problem 1 (Created page with "Problem 1. Consider the convex quadrilateral ABCD. The point P is in the interior of ABCD. The following ratio equalities hold: ∠P AD : ∠P BA : ∠DP A = 1 : 2 : 3 = ∠CB...")
