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Going Maximum With Arithmetic (Posted on 2008-09-27) Difficulty: 3 of 5
Determine the maximum value of a (base ten) positive integer N (with non leading zeroes) such that each of the digits of N, with the exception of the first digit and the last digit, is less than the arithmetic mean of the two neighboring digits.

Note: Try to solve this problem analytically, although computer program/ spreadsheet solutions are welcome.

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
The required maximum value of N is 96433469.

For an explanation, refer to the explanation submitted by Gamer in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): SolutionDej Mar2008-09-28 07:54:40
re: SolutionCharlie2008-09-28 02:58:58
SolutionSolutionDej Mar2008-09-27 22:12:41
Down and upGamer2008-09-27 19:26:45
Solutioncomputer solutionCharlie2008-09-27 16:40:32
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