Art of Problem Solving

User contributions for Sigmundur

A user with 39 edits. Account created on 20 June 2008.
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23 March 2015

  • 15:5315:53, 23 March 2015 diff hist +187 N 1998 IMO Problems/Problem 6 Created page with "Consider all functions f from the set N of all positive integers into itself sat- isfying f (t 2 f (s)) = s(f (t)) 2 for all s and t in N . Determine the least possible value ..."
  • 15:5315:53, 23 March 2015 diff hist +242 N 1998 IMO Problems/Problem 5 Created page with "Let I be the incenter of triangle ABC. Let the incircle of ABC touch the sides BC, CA, and AB at K, L, and M , respectively. The line through B parallel to M K meets the lines..."
  • 15:5215:52, 23 March 2015 diff hist +93 N 1998 IMO Problems/Problem 4 Created page with "Determine all pairs (a, b) of positive integers such that ab 2 + b + 7 divides a 2 b + a + b."
  • 15:5215:52, 23 March 2015 diff hist +181 N 1998 IMO Problems/Problem 3 Created page with "For any positive integer n, let d(n) denote the number of positive divisors of n (including 1 and n itself). Determine all positive integers k such that d(n 2 )/d(n) = k for s..."
  • 15:5115:51, 23 March 2015 diff hist +294 N 1998 IMO Problems/Problem 2 Created page with "In a competition, there are a contestants and b judges, where b ≥ 3 is an odd integer. Each judge rates each contestant as either “pass” or “fail”. Suppose k is a nu..."
  • 15:4815:48, 23 March 2015 diff hist +323 N 1998 IMO Problems/Problem 1 Created page with "In the convex quadrilateral ABCD, the diagonals AC and BD are perpendicular and the opposite sides AB and DC are not parallel. Suppose that the point P , where the perpendicul..."

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