The positive integers from to () inclusive are to be spaced equally around the circumference of a circle so that: (a) no two even numbers are adjacent; (b) no two odd numbers are adjacent; (c) no two numbers differing by are adjacent. What is the smallest value of for which the above is possible?
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
Junior Mathematical Olympiad 2024 (2024)
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →Junior Mathematical Olympiad 2024 (2024)