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Arrange The Disks (Posted on 2006-07-04) Difficulty: 4 of 5
A set of 47 disks are consecutively numbered 1 to 47 and placed in a row as follows: 1, 2, 3, 4, ... 45, 46, 47.

Rearrange the disks so for any two given disks A and B, the disk equal to their arithmetic mean doesn't lie between them. For example, Disk 4 cannot lie between Disk 1 and Disk 7 since the arithmetic mean of 1 and 7 is 4. However, since 7 is not equal to the arithmetic mean of 1 and 4, Disk 7 may lie between Disk 1 and Disk 4.

See The Solution Submitted by K Sengupta    
Rating: 3.6667 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
AcknowledgementK Sengupta2006-08-31 05:09:21
128 ways for 1 through 8Charlie2006-07-06 09:43:42
re: A sampling of the trillions of solutions.Charlie2006-07-06 09:09:24
SolutionA sampling of the trillions of solutions.Charlie2006-07-06 09:04:45
re: solution (if I understood correctly)brianjn2006-07-05 20:42:03
re: solution (if I understood correctly)Charlie2006-07-05 14:05:43
solution (if I understood correctly)atheron2006-07-05 13:57:46
Solutionre(2): solution (with solution/spoiler)Charlie2006-07-05 12:23:15
Left behindbrianjn2006-07-05 06:05:37
re(3): solution (with solution/spoiler)Dej Mar2006-07-05 00:49:16
re(2): solution (with solution/spoiler)Charlie2006-07-04 22:00:56
Solutionre: solution (with solution/spoiler)Dej Mar2006-07-04 13:57:13
re: solutionCharlie2006-07-04 13:43:37
solutionDaniel2006-07-04 11:51:22
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