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Arrange The Disks (Posted on 2006-07-04)

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
Acknowledgement	K Sengupta	2006-08-31 05:09:21
128 ways for 1 through 8	Charlie	2006-07-06 09:43:42
re: A sampling of the trillions of solutions.	Charlie	2006-07-06 09:09:24
A sampling of the trillions of solutions.	Charlie	2006-07-06 09:04:45
re: solution (if I understood correctly)	brianjn	2006-07-05 20:42:03
re: solution (if I understood correctly)	Charlie	2006-07-05 14:05:43
solution (if I understood correctly)	atheron	2006-07-05 13:57:46
re(2): solution (with solution/spoiler)	Charlie	2006-07-05 12:23:15
Left behind	brianjn	2006-07-05 06:05:37
re(3): solution (with solution/spoiler)	Dej Mar	2006-07-05 00:49:16
re(2): solution (with solution/spoiler)	Charlie	2006-07-04 22:00:56
re: solution (with solution/spoiler)	Dej Mar	2006-07-04 13:57:13
re: solution	Charlie	2006-07-04 13:43:37
solution	Daniel	2006-07-04 11:51:22

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