perplexus.info :: Just Math : Going Maximum With Arithmetic

Going Maximum With Arithmetic (Posted on 2008-09-27)

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): Solution	Dej Mar	2008-09-28 07:54:40
re: Solution	Charlie	2008-09-28 02:58:58
Solution	Dej Mar	2008-09-27 22:12:41
Down and up	Gamer	2008-09-27 19:26:45
computer solution	Charlie	2008-09-27 16:40:32

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