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2001 Coin Crossed 1-2-3 Value Conclusion (Posted on 2023-05-07) Difficulty: 3 of 5
Each of 2001 coins are assigned the value 1, 2, or 3 and they are arranged in a row.
• Between any two coins assigned the value of 1, there is at least one coin.
• Between any two coins assigned the value of 2, there are at least two coins.
• Between any two coins assigned the value of 3, there are at least three coins.

Determine the maximum number of coins, assigned the value of 3, that could be in the row.

*** Adapted from a problem appearing in a Russian Mathematical Olympiad.

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolution and moreBrian Smith2023-05-07 11:15:32
SolutionsolutionLarry2023-05-07 07:49:18
SolutionSimple (spoiler)Steve Herman2023-05-07 07:27:48
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