一个“碰手游戏”，是不是有必胜法

lulijie

f(0,1,0,5)=1
f(0,1,0,6)=1
f(0,1,0,8)=1
f(0,1,1,9)=1
f(0,1,4,4)=1
f(0,1,6,9)=1
f(0,1,7,9)=1
f(0,1,8,8)=1
f(0,1,9,9)=1
f(0,2,0,1)=1
f(0,2,0,3)=1
f(0,2,0,6)=1
f(0,2,1,7)=1
f(0,2,2,2)=1
f(0,2,2,6)=1
f(0,2,2,8)=1
f(0,2,3,8)=1
f(0,2,4,4)=1
f(0,2,4,6)=1
f(0,2,5,8)=1
f(0,2,6,6)=1
f(0,2,6,7)=1
f(0,2,7,7)=1
f(0,2,7,9)=1
f(0,2,8,8)=1
f(0,2,9,9)=1
f(0,3,0,4)=1
f(0,3,0,5)=1
f(0,3,0,8)=1
f(0,3,1,7)=1
f(0,3,2,2)=1
f(0,3,3,7)=1
f(0,3,4,4)=1
f(0,3,7,7)=1
f(0,3,7,8)=1
f(0,4,0,1)=1
f(0,4,0,2)=1
f(0,4,0,7)=1
f(0,4,1,6)=1
f(0,4,2,2)=1
f(0,4,2,4)=1
f(0,4,2,8)=1
f(0,4,2,9)=1
f(0,4,3,3)=1
f(0,4,3,9)=1
f(0,4,4,4)=1
f(0,4,4,6)=1
f(0,4,5,6)=1
f(0,4,6,6)=1
f(0,4,7,9)=1
f(0,4,8,8)=1
f(0,4,9,9)=1
f(0,5,0,1)=1
f(0,5,0,3)=1
f(0,5,0,7)=1
f(0,5,0,9)=1
f(0,5,1,9)=1
f(0,5,2,5)=1
f(0,5,2,8)=1
f(0,5,3,7)=1
f(0,5,4,5)=1
f(0,5,4,6)=1
f(0,5,5,5)=1
f(0,5,5,6)=1
f(0,5,5,8)=1
f(0,6,0,3)=1
f(0,6,0,8)=1
f(0,6,0,9)=1
f(0,6,1,1)=1
f(0,6,1,3)=1
f(0,6,1,7)=1
f(0,6,1,8)=1
f(0,6,2,2)=1
f(0,6,2,8)=1
f(0,6,4,4)=1
f(0,6,4,5)=1
f(0,6,4,6)=1
f(0,6,4,9)=1
f(0,6,6,6)=1
f(0,6,6,8)=1
f(0,6,7,7)=1
f(0,6,8,8)=1
f(0,7,0,2)=1
f(0,7,0,5)=1
f(0,7,0,6)=1
f(0,7,2,3)=1
f(0,7,3,3)=1
f(0,7,3,7)=1
f(0,7,3,9)=1
f(0,7,6,6)=1
f(0,7,8,8)=1
f(0,8,0,4)=1
f(0,8,0,7)=1
f(0,8,0,9)=1
f(0,8,1,1)=1
f(0,8,1,3)=1
f(0,8,2,2)=1
f(0,8,2,5)=1
f(0,8,2,7)=1
f(0,8,2,8)=1
f(0,8,3,3)=1
f(0,8,3,4)=1
f(0,8,3,9)=1
f(0,8,4,4)=1
f(0,8,4,6)=1
f(0,8,4,8)=1
f(0,8,6,6)=1
f(0,8,8,8)=1
f(0,9,0,2)=1
f(0,9,0,4)=1
f(0,9,0,5)=1
f(0,9,1,1)=1
f(0,9,1,3)=1
f(0,9,1,4)=1
f(0,9,1,9)=1
f(0,9,2,2)=1
f(0,9,6,6)=1
f(1,1,0,3)=1
f(1,5,0,4)=1
f(3,3,0,9)=1
f(3,5,0,2)=1
f(5,7,0,8)=1
f(5,9,0,6)=1
f(7,7,0,1)=1
f(9,9,0,7)=1

lulijie

f(0,1,0,1)=2
f(0,1,0,3)=2
f(0,1,0,4)=2
f(0,1,0,9)=2
f(0,1,2,9)=2
f(0,1,4,9)=2
f(0,1,5,9)=2
f(0,1,6,7)=2
f(0,2,0,2)=2
f(0,2,0,5)=2
f(0,2,0,7)=2
f(0,2,0,8)=2
f(0,2,1,5)=2
f(0,2,3,3)=2
f(0,2,4,8)=2
f(0,2,7,8)=2
f(0,2,8,9)=2
f(0,3,0,2)=2
f(0,3,0,3)=2
f(0,3,0,7)=2
f(0,3,0,9)=2
f(0,3,1,8)=2
f(0,3,2,7)=2
f(0,3,5,7)=2
f(0,3,6,7)=2
f(0,4,0,4)=2
f(0,4,0,5)=2
f(0,4,0,6)=2
f(0,4,0,9)=2
f(0,4,1,1)=2
f(0,4,3,6)=2
f(0,4,5,7)=2
f(0,4,6,8)=2
f(0,4,6,9)=2
f(0,5,0,2)=2
f(0,5,0,4)=2
f(0,5,0,5)=2
f(0,5,0,6)=2
f(0,5,0,8)=2
f(0,5,1,5)=2
f(0,5,3,5)=2
f(0,5,5,7)=2
f(0,5,5,9)=2
f(0,6,0,1)=2
f(0,6,0,4)=2
f(0,6,0,5)=2
f(0,6,0,6)=2
f(0,6,1,4)=2
f(0,6,2,4)=2
f(0,6,3,5)=2
f(0,6,4,7)=2
f(0,6,9,9)=2
f(0,7,0,1)=2
f(0,7,0,3)=2
f(0,7,0,7)=2
f(0,7,0,8)=2
f(0,7,2,9)=2
f(0,7,3,4)=2
f(0,7,3,5)=2
f(0,7,3,8)=2
f(0,8,0,2)=2
f(0,8,0,3)=2
f(0,8,0,5)=2
f(0,8,0,8)=2
f(0,8,1,2)=2
f(0,8,2,3)=2
f(0,8,2,6)=2
f(0,8,5,9)=2
f(0,8,7,7)=2
f(0,9,0,1)=2
f(0,9,0,6)=2
f(0,9,0,7)=2
f(0,9,0,9)=2
f(0,9,1,5)=2
f(0,9,1,6)=2
f(0,9,1,8)=2
f(0,9,3,4)=2
f(1,1,0,5)=2
f(1,1,0,7)=2
f(1,1,0,8)=2
f(1,1,0,9)=2
f(1,1,6,9)=2
f(1,1,8,9)=2
f(1,1,9,9)=2
f(1,2,0,8)=2
f(1,2,0,9)=2
f(1,3,0,3)=2
f(1,3,0,5)=2
f(1,3,0,6)=2
f(1,3,0,7)=2
f(1,3,0,8)=2
f(1,3,0,9)=2
f(1,3,6,7)=2
f(1,3,6,9)=2
f(1,3,7,8)=2
f(1,3,7,9)=2
f(1,3,8,9)=2
f(1,3,9,9)=2
f(1,4,0,5)=2
f(1,4,0,6)=2
f(1,4,0,8)=2
f(1,4,0,9)=2
f(1,4,6,9)=2
f(1,4,9,9)=2
f(1,5,0,5)=2
f(1,5,0,9)=2
f(1,6,0,3)=2
f(1,6,0,4)=2
f(1,6,0,8)=2
f(1,6,0,9)=2
f(1,6,4,4)=2
f(1,6,4,9)=2
f(1,7,0,1)=2
f(1,7,0,2)=2
f(1,7,0,3)=2
f(1,7,0,5)=2
f(1,7,0,6)=2
f(1,7,0,9)=2
f(1,7,2,3)=2
f(1,7,2,9)=2
f(1,7,3,3)=2
f(1,7,3,6)=2
f(1,7,3,9)=2
f(1,7,6,9)=2
f(1,8,0,2)=2
f(1,8,0,5)=2
f(1,8,0,8)=2
f(1,8,0,9)=2
f(1,8,2,6)=2
f(1,8,6,9)=2
f(1,9,0,1)=2
f(1,9,0,2)=2
f(1,9,0,4)=2
f(1,9,0,6)=2
f(1,9,0,8)=2
f(1,9,0,9)=2
f(1,9,1,1)=2
f(1,9,1,5)=2
f(1,9,1,9)=2
f(1,9,5,9)=2
f(1,9,9,9)=2
f(2,2,0,1)=2
f(2,2,0,2)=2
f(2,2,0,4)=2
f(2,2,0,6)=2
f(2,2,0,7)=2
f(2,2,0,8)=2
f(2,2,2,8)=2
f(2,2,3,8)=2
f(2,2,4,8)=2
f(2,2,6,8)=2
f(2,2,8,8)=2
f(2,2,8,9)=2
f(2,3,0,4)=2
f(2,3,0,5)=2
f(2,3,0,7)=2
f(2,3,0,8)=2
f(2,3,7,7)=2
f(2,3,7,8)=2
f(2,4,0,2)=2
f(2,4,0,6)=2
f(2,4,0,8)=2
f(2,4,4,6)=2
f(2,4,4,8)=2
f(2,5,0,3)=2
f(2,5,0,5)=2
f(2,5,0,6)=2
f(2,5,0,8)=2
f(2,5,5,5)=2
f(2,5,5,8)=2
f(2,5,8,8)=2
f(2,6,0,4)=2
f(2,6,0,6)=2
f(2,6,0,8)=2
f(2,6,2,4)=2
f(2,6,2,8)=2
f(2,7,0,1)=2
f(2,7,0,3)=2
f(2,7,0,6)=2
f(2,7,0,8)=2
f(2,7,3,8)=2
f(2,7,8,8)=2
f(2,8,0,2)=2
f(2,8,0,3)=2
f(2,8,0,4)=2
f(2,8,0,6)=2
f(2,8,0,7)=2
f(2,8,0,8)=2
f(2,8,2,2)=2
f(2,8,2,4)=2
f(2,8,2,5)=2
f(2,8,2,6)=2
f(2,8,2,8)=2
f(2,8,4,8)=2
f(2,8,5,8)=2
f(2,8,6,8)=2
f(2,8,8,8)=2
f(2,9,0,1)=2
f(2,9,0,2)=2
f(2,9,0,5)=2
f(2,9,0,8)=2
f(2,9,1,4)=2
f(2,9,4,8)=2
f(3,3,0,1)=2
f(3,3,0,4)=2
f(3,3,0,5)=2
f(3,3,0,7)=2
f(3,3,4,7)=2
f(3,3,7,7)=2
f(3,3,7,8)=2
f(3,4,0,4)=2
f(3,4,0,5)=2
f(3,4,0,6)=2
f(3,4,0,7)=2
f(3,4,6,8)=2
f(3,4,7,8)=2
f(3,5,0,5)=2
f(3,5,0,7)=2
f(3,6,0,4)=2
f(3,6,0,7)=2
f(3,7,0,2)=2
f(3,7,0,3)=2
f(3,7,0,4)=2
f(3,7,0,6)=2
f(3,7,0,7)=2
f(3,7,0,8)=2
f(3,7,3,3)=2
f(3,7,3,5)=2
f(3,7,3,7)=2
f(3,7,5,7)=2
f(3,7,7,7)=2
f(3,8,0,2)=2
f(3,8,0,4)=2
f(3,8,0,7)=2
f(3,8,0,9)=2
f(3,8,2,2)=2
f(3,8,2,7)=2
f(3,9,0,1)=2
f(3,9,0,4)=2
f(3,9,0,5)=2
f(3,9,0,7)=2
f(3,9,0,8)=2
f(3,9,0,9)=2
f(3,9,1,4)=2
f(3,9,1,7)=2
f(3,9,1,8)=2
f(3,9,4,7)=2
f(3,9,7,7)=2
f(3,9,7,8)=2
f(4,4,0,2)=2
f(4,4,0,4)=2
f(4,4,0,6)=2
f(4,4,0,7)=2
f(4,4,0,8)=2
f(4,4,0,9)=2
f(4,4,1,6)=2
f(4,4,2,6)=2
f(4,4,3,6)=2
f(4,4,4,6)=2
f(4,4,6,6)=2
f(4,4,6,8)=2
f(4,5,0,1)=2
f(4,5,0,2)=2
f(4,5,0,5)=2
f(4,5,0,6)=2
f(4,5,5,5)=2
f(4,5,5,6)=2
f(4,5,6,6)=2
f(4,6,0,1)=2
f(4,6,0,2)=2
f(4,6,0,4)=2
f(4,6,0,6)=2
f(4,6,0,8)=2
f(4,6,0,9)=2
f(4,6,2,4)=2
f(4,6,2,6)=2
f(4,6,4,4)=2
f(4,6,4,5)=2
f(4,6,4,6)=2
f(4,6,4,8)=2
f(4,6,5,6)=2
f(4,6,6,6)=2
f(4,6,6,8)=2
f(4,7,0,3)=2
f(4,7,0,6)=2
f(4,8,0,2)=2
f(4,8,0,4)=2
f(4,8,0,6)=2
f(4,8,2,8)=2
f(4,8,6,8)=2
f(4,9,0,1)=2
f(4,9,0,2)=2
f(4,9,0,6)=2
f(4,9,0,7)=2
f(4,9,1,6)=2
f(4,9,6,6)=2
f(5,5,0,5)=2
f(5,5,5,5)=2
f(5,6,0,4)=2
f(5,6,0,5)=2
f(5,6,0,8)=2
f(5,6,0,9)=2
f(5,6,4,4)=2
f(5,6,4,5)=2
f(5,6,5,5)=2
f(5,7,0,3)=2
f(5,7,0,5)=2
f(5,8,0,2)=2
f(5,8,0,4)=2
f(5,8,0,5)=2
f(5,8,0,7)=2
f(5,8,2,2)=2
f(5,8,2,5)=2
f(5,8,5,5)=2
f(5,9,0,1)=2
f(5,9,0,5)=2
f(6,6,0,1)=2
f(6,6,0,2)=2
f(6,6,0,3)=2
f(6,6,0,4)=2
f(6,6,0,6)=2
f(6,6,0,8)=2
f(6,6,2,4)=2
f(6,6,4,4)=2
f(6,6,4,6)=2
f(6,6,4,7)=2
f(6,6,4,8)=2
f(6,6,4,9)=2
f(6,7,0,3)=2
f(6,7,0,4)=2
f(6,7,0,5)=2
f(6,7,0,6)=2
f(6,7,2,3)=2
f(6,7,2,4)=2
f(6,8,0,2)=2
f(6,8,0,4)=2
f(6,8,0,8)=2
f(6,8,2,6)=2
f(6,8,4,6)=2
f(6,9,0,1)=2
f(6,9,0,2)=2
f(6,9,0,4)=2
f(6,9,0,5)=2
f(6,9,1,1)=2
f(6,9,1,4)=2
f(7,7,0,3)=2
f(7,7,0,5)=2
f(7,7,0,6)=2
f(7,7,0,9)=2
f(7,7,2,3)=2
f(7,7,3,3)=2
f(7,7,3,6)=2
f(7,8,0,2)=2
f(7,8,0,3)=2
f(7,8,0,5)=2
f(7,8,0,6)=2
f(7,8,2,3)=2
f(7,8,3,3)=2
f(7,9,0,1)=2
f(7,9,0,2)=2
f(7,9,0,3)=2
f(7,9,0,4)=2
f(7,9,0,5)=2
f(7,9,0,7)=2
f(7,9,1,1)=2
f(7,9,1,2)=2
f(7,9,1,3)=2
f(7,9,1,4)=2
f(7,9,2,3)=2
f(7,9,3,4)=2
f(8,8,0,2)=2
f(8,8,0,3)=2
f(8,8,0,4)=2
f(8,8,0,6)=2
f(8,8,0,8)=2
f(8,8,0,9)=2
f(8,8,1,2)=2
f(8,8,2,2)=2
f(8,8,2,4)=2
f(8,8,2,6)=2
f(8,8,2,7)=2
f(8,8,2,8)=2
f(8,9,0,1)=2
f(8,9,0,2)=2
f(9,9,0,1)=2
f(9,9,0,2)=2
f(9,9,0,3)=2
f(9,9,0,5)=2
f(9,9,1,1)=2
f(9,9,1,2)=2
f(9,9,1,4)=2

lulijie

f(0,1,0,2)=3
f(0,1,0,7)=3
f(0,1,1,7)=3
f(0,1,2,6)=3
f(0,1,3,5)=3
f(0,1,3,9)=3
f(0,1,8,9)=3
f(0,2,0,4)=3
f(0,2,0,9)=3
f(0,2,1,8)=3
f(0,2,2,4)=3
f(0,2,6,8)=3
f(0,3,0,1)=3
f(0,3,0,6)=3
f(0,3,1,3)=3
f(0,3,4,7)=3
f(0,3,5,9)=3
f(0,3,6,8)=3
f(0,3,7,9)=3
f(0,4,0,3)=3
f(0,4,0,8)=3
f(0,4,2,6)=3
f(0,4,4,8)=3
f(0,4,6,7)=3
f(0,6,0,2)=3
f(0,6,0,7)=3
f(0,6,2,6)=3
f(0,6,3,4)=3
f(0,6,4,8)=3
f(0,7,0,4)=3
f(0,7,0,9)=3
f(0,7,1,3)=3
f(0,7,1,5)=3
f(0,7,2,4)=3
f(0,7,3,6)=3
f(0,7,7,9)=3
f(0,8,0,1)=3
f(0,8,0,6)=3
f(0,8,2,4)=3
f(0,8,2,9)=3
f(0,8,6,8)=3
f(0,9,0,3)=3
f(0,9,0,8)=3
f(0,9,1,2)=3
f(0,9,1,7)=3
f(0,9,3,9)=3
f(0,9,4,8)=3
f(0,9,5,7)=3
f(1,2,0,7)=3
f(1,8,0,1)=3
f(2,2,2,4)=3
f(2,2,6,6)=3
f(2,4,0,4)=3
f(2,4,2,6)=3
f(2,4,2,8)=3
f(2,4,4,4)=3
f(2,4,6,6)=3
f(2,4,6,8)=3
f(2,4,8,8)=3
f(2,6,0,2)=3
f(2,6,2,2)=3
f(2,6,4,4)=3
f(2,6,4,6)=3
f(2,6,4,8)=3
f(2,6,6,8)=3
f(2,6,8,8)=3
f(2,9,0,9)=3
f(3,4,0,3)=3
f(3,6,0,1)=3
f(4,4,2,2)=3
f(4,4,4,8)=3
f(4,7,0,9)=3
f(4,8,0,8)=3
f(4,8,2,2)=3
f(4,8,2,4)=3
f(4,8,2,6)=3
f(4,8,4,6)=3
f(4,8,6,6)=3
f(4,8,8,8)=3
f(6,6,2,6)=3
f(6,6,8,8)=3
f(6,7,0,7)=3
f(6,8,0,6)=3
f(6,8,2,2)=3
f(6,8,2,4)=3
f(6,8,2,8)=3
f(6,8,4,4)=3
f(6,8,4,8)=3
f(6,8,6,6)=3
f(8,8,4,4)=3
f(8,8,6,8)=3
f(8,9,0,3)=3

lulijie

其余的总共有2280个局面无法获取结果，即f()=0。包括f(1,1,1,1)

jimofc

原帖由 lulijie 于 2012-4-10 21:01 发表
其余的总共有2280个局面无法获取结果，即f()=0。包括f(1,1,1,1)

那么就是说1111的初始开局，两个人都可以通过合理选择而达到平局，当有人失误的时候才会输，这个游戏是公平的

phileas

为啥有四种情况？ 0和3有什么不同？

lulijie

3是和，
0表示待定，或1或2或3,不过还没确定。