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

Registered: 11/26/00
Posts: 17597
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 ?
_________________________
A true friend is a friend in spite of, not because of.

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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: 4884
Loc: Nova Scotia
Click to reveal..
15

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

Registered: 11/26/00
Posts: 17597
Loc: Ottawa Ontario Canada
Correct Flo.

What does your solution show, say, after 7th move?
_________________________
A true friend is a friend in spite of, not because of.

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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: 14595
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

_________________________
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 Online   content
Graduate Boomer

Registered: 11/26/00
Posts: 17597
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 is a friend in spite of, not because of.

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