World
Game
Of
Sprouts
Association


 

Strategy for N = 10, 16,

 

 

 

Let's look at the game: n=2(3k+2), k=1,2,3... (10,16,22,28...spots)

 

 

n+

 

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

 

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

 

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

 

4) 1(n+1)1[2] 3(n+2)3[4-m] m=2(3s+2), s=0,1,2

 

4.1) n=m

3((n+3)@1)n+2

 

4.2) n>m

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

 

5) 1(n+1)1[2] 3(n+2)3[4-m] m=6s+5, s=0,1,2

3((n+3)@4)n+2

 

6) 1(n+1)1[2] 3(n+2)3[4-m] m=6s, s=1,2,3

 

6.1) n-m=4

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

 

6.2) n-m>4

3((n+3)@4)n+2

 

7) 1(n+1)1[2] 3(n+2)3[4-m] m=6s+1, s=1,2,3

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

 

8) 1(n+1)1[2] 3(n+2)3[4-m] m=2(3s+1), s=1,2,3

3((n+3)@4)n+2

 

9) 1(n+1)1[2] 3(n+2)3[4-m] m=3(2s+1), s=1,2,3

 

9.1) n=m+1

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

 

9.2) n>m+1

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

 

 

 

 

 



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