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Mancala (Posted on 2003-01-21) Difficulty: 2 of 5
In the game of mancala there is a board with 2 rows of 6 holes.(To make this easier imagine these rows travelling from left to right)

In each of these holes there are 4 gems. Also, At the end of each row is a special cup. (this cup is not included as one of the 6 holes) Everytime you drop a stone into this cup you guarantee yourself that gem.

In order to get gems into that cup you must pick up all the gems in any 1 hole and drop 1 gem in every hole ahead of it in order from left to right. If you drop it in your rightmost hole you then drop 1 in your cup and proceed dropping along your opponents cups from right to left.(still from your point of view.) For those who are still confused you are pretty much picking up all the gems in one hole and dropping them one at a time counter-clockwise in every hole and cup you come across.

If the last gem you drop lands in your cup you get to go again.

So the question I ask you is this: What is the maximum number of gems that can be on your side that can be sunk on 1 turn(including everytime you get to go again)? Also, how would they have to be set up?

(Still not clear on the rules? Play it here)

  Submitted by Alan    
Rating: 3.6667 (9 votes)
Solution: (Hide)
(your cups from left to right):

5 3 1 2 0 14

(how to sink them all):

You must sink in order from right to left every hole of beads that will allow you to go another turn.

Please note there may be larger combinations than this.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: There's an error in the solutionTristan2005-03-05 03:02:24
Mancala?Hugo2005-03-04 23:18:16
There's an error in the solutionErik O.2005-03-04 19:19:18
Gems?Rawlyn2004-02-06 19:50:55
actually..me2003-06-04 00:12:05
Solution?Ryan2003-05-07 07:00:44
re(2): Mistake in questionfwaff2003-01-22 21:00:11
re: Mistake in questionAlan2003-01-22 08:00:20
Mistake in questionAlan2003-01-22 07:49:21
Some ThoughtsNo theory, just trial and error and an unlikely answerfwaff2003-01-21 22:24:37
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