Czech Federation of Mancala Games

Competition, part 3

Now we are able to sow and capture. It this part we will show how the game ends and how to count amount of moves. But at first, we have to show one exception in sowing.

What will happen if there is just one seed in a cup? We have few option, like:

  • One seed cannot be sown. So the game finish, if all the cups are either emptry or have just one seed.
  • We can move the seed to the next cup.
  • We do not touch cups with one seed until there are cups just with one seed and empty ones. Only in this situation we can play cups with one seed - we put in into following empty cup.
Even more possibilities can be found. All the above mentioned can be used. Toguz kumalak/korgool uses second rule. One seed can be sown to the next cup. For example, we can move seed from B2 to B3. Or seed from B5 to T1. Or seed from T4 to T5.

T5T4T3T2T1


B1B2B3B4B5

If we play B5, we finish in T1, all the condition to make a capture are fulfilled so we can capture 2 seeds. (And the top player cannot do the similar move, T4 cannot capture opposite seed in T2, as the following cup in direction of sowing after T4 is T5).

Now let's take a look to the end of the game. The game finish where one side has empty cups. Near the end of the game, when there is not many seeds left on the board, the players are trying not to put any seed on the opponent's side of the board. The player with less moves will end up in the situation, when he will be forced to put some pieces to opponent's side of the board and will not get any to his side. In the next move he will put his last seed to the opponent's side and the game will be finished. The player with empty cups is usually the one who lost the game.


First practical example:



T5T4T3T2T1


B1B2B3B4B5

The best, what can both players do, is to put all the seeds to their fifth cup. The top player can do in four moves, for example: T3, T3, T4, T4. After this sequence of moves he will have all three seeds in cup T5. Then he has no choice. He has to play T5, and he put seed to the bottom side.
It is better for bottom player. If he playes best, he has 6 moves without putting seeds on the opponent's side of the board. For example: B4, B2, B3, B3, B4, B4.


Both players made 4 moves. It is top player's turn. What will happen if he playes T5?

T5T4T3T2T1


B1B2B3B4B5

He sow, after his move will be one seed in T5, B1 and B2, bottom player will play B1, top has just one move, T5 and bottom can play again B1. At the end it will look like this:

T5T4T3T2T1


B1B2B3B4B5

Now it is top player's turn, but he has nothingh in his cup. Game is finished. Bottom player will move the rest of the seed to his treasury cup. Now both players can count seeds in tresury cups. We let them count and we will show, how to count moves.



Let's get back to this situation:

T5T4T3T2T1


B1B2B3B4B5


How many moves has bottom player? We did count 6 moves for him. But what will happen, if we add one more seed to B1? How many moves has this player now?

T5T4T3T2T1


B1B2B3B4B5


He has 10 moves. How did we count this? We can simply add up 1 + 2 + 3 + 4. Why this way? Let's start with B1. We take a look to the opposite cup - there is T5 and we move one place to the right. We are in (H)4. So the seed in B1 needs 4 moves to get to B5. What about seed in B3? Opposite to B3 is T3, one to the right is (H)2. So this seed needs 2 moves to get to last cup, B5. This works in cups with one or two seeds. We will show more in other part of this competition.

Third block of

questions

T5T4T3T2T1


B1B2B3B4B5

How many moves have both players before they are forced to put seed on the opponent's side of the board?



T5T4T3T2T1
18
18
B1B2B3B4B5

Count the number of moves and decide, which answer is true:



T9T8T7T6T5T4T3T2T1
 
 
B1B2B3B4B5B6B7B8B9

How many moves have both players before they are forced to put seed on the opponent's side of the board?



T9T8T7T6T5T4T3T2T1
 
 
B1B2B3B4B5B6B7B8B9

How many moves have both players before they are forced to put seed on the opponent's side of the board?

That is all.

Now, please, fill in this form and submit your answers.

Name and surname
School - street, town
Class (year) Elementary school Junior high school High school Adult
Email (where we can write if you win or send the solution)
Please, send me the correct solution
Let me know about events in this game