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#891995 - 06/03/13 10:43 PM Moving along...
CanukDenis Offline
Graduate Boomer

Registered: 11/26/00
Posts: 15102
Loc: Ottawa Ontario Canada
W W W - B B B

6 coins are arranged in a row as above:
3 colored White and 3 colored Black,
with 1 empty space between the two sets.

Object is to reverse the positions, moving
all B's to where W's are now, and moving
all W's to where B's are now.

A coin may jump over ONLY ONE adjacent coin
to an adjacent space, or it may be moved
ONLY ONE space to an empty space.

W's can only move to the right
and B's can only move to the left.

What is the least number of moves required
to reverse the positions ?
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#892060 - 06/04/13 09:47 AM Re: Moving along... [Re: CanukDenis]
Flo NS Offline
Addicted Boomer

Registered: 04/11/06
Posts: 4272
Loc: Nova Scotia
Click to reveal..
15

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#892094 - 06/04/13 01:51 PM Re: Moving along... [Re: CanukDenis]
CanukDenis Offline
Graduate Boomer

Registered: 11/26/00
Posts: 15102
Loc: Ottawa Ontario Canada
Correct Flo.

What does your solution show, say, after 7th move?
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#892100 - 06/04/13 02:53 PM Re: Moving along... [Re: CanukDenis]
Cue Offline
Adept Boomer

Registered: 04/07/03
Posts: 12109
Loc: The Outer Limits
I get 15 too.
Click to reveal..


White in spots 1, 2 and 3
A center space 4
Black in spots 5, 6 and 7

Code:
1	3-4
2	5-3
3	6-5
4	4-6
5	2-4
6	1-2
7	3-1
8	5-3
9	7-5
10	6-7
11	4-6
12	2-4
13	3-2
14	5-3
15	4-5

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#892110 - 06/04/13 03:58 PM Re: Moving along... [Re: CanukDenis]
CanukDenis Offline
Graduate Boomer

Registered: 11/26/00
Posts: 15102
Loc: Ottawa Ontario Canada
Right!

W's = 1,2,3 ; B's = A,B,C ; empty = -

00 1 2 3 - A B C
01 1 2 3 A - B C
02 1 2 - A 3 B C
03 1 - 2 A 3 B C
04 1 A 2 - 3 B C
05 1 A 2 B 3 - C
06 1 A 2 B 3 C -
07 1 A 2 B - C 3
08 1 A - B 2 C 3
09 - A 1 B 2 C 3
10 A - 1 B 2 C 3
11 A B 1 - 2 C 3
12 A B 1 C 2 - 3
13 A B 1 C - 2 3
14 A B - C 1 2 3
15 A B C - 1 2 3
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