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

Registered: 11/26/00
Posts: 17476
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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A true friend steps in when the rest of the world steps out.

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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: 4858
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: 17476
Loc: Ottawa Ontario Canada
Correct Flo.

What does your solution show, say, after 7th move?
_________________________
A true friend steps in when the rest of the world steps out.

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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: 14403
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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Did you ever stop to think and then forget to start again?

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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: 17476
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
_________________________
A true friend steps in when the rest of the world steps out.

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