World
Game
Of
Sprouts
Association


Strategy for N = 9, 15, …

 

 

Let's look at the game: n=3(2k+1),k=1,2,3... (9,15,21,27...spots)

 

 

n+

 

1) 1(n+1)2 1(n+2)3 2(n+3)2[4-(n-1)]

 

2) 1(n+1)2 3(n+2)n+1 1(n+3)1[4-(n-1)]

 

3) 1(n+1)2 3(n+2)3 3(n+3)n+2[1,n]

 

4) 1(n+1)2 3(n+2)3[4] 3(n+3)n+2[1,n]

1(n+1)2 3(n+2)3[4-5] 3(n+3)n+2[1,n]

……………………………………..

1(n+1)2 3(n+2)3[4-(n-1)] 3(n+3)n+2[1,n]

 

5) 1(n+1)2 3(n+2)3[1] 4(n+3)4[3]

 

6) 1(n+1)2 3(n+2)4 1(n+3)1[3-(n-4)]

 

 

Puzzle

 

9+ 1(10)2 3(11)3[1] ???

 

Try to solve this problem without using (5)!



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