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)!