teoria de jocs: joc peó 4-1

n=5k:
Si ( a = 1r  &  b = 2n ) ==> ( V=a & F=b )
Si ( a = 2n  &  b = 1r ) ==> ( F=a & V=b )


[a_{0}][b_{2}][a_{2}][00][00][b_{1}][00][00][00][b_{0}]
[a_{0}][a_{1}][00][00][00][b_{1}][00][00][00][b_{0}]


9+((-1)+(-4))+((-1)+(-4))+1 = 0
9+((-4)+(-1))+(-4) = 0


n=5k+1:
Si ( a = 1r  &  b = 2n ) ==> ( F=a & V=b )
Si ( a = 2n  &  b = 1r ) ==> ( V=a & F=b )


[a_{0}][a_{1}][a_{2}][00][00][00][b_{1}][00][00][00][b_{0}]
[a_{0}][a_{1}][b_{2}][00][00][00][b_{1}][00][00][00][b_{0}]


10+((-1)+(-4))+((-1)+(-4)) = 0
10+((-4)+(-1))+((-4)+(-1)) = 0


n=5k+2:
Si ( a = 1r  &  b = 2n ) ==> ( V=a & F=b )
Si ( a = 2n  &  b = 1r ) ==> ( F=a & V=b )


[a_{0}][a_{1}][a_{2}][b_{2}][00][00][00][b_{1}][00][00][00][b_{0}]
[a_{0}][a_{1}][a_{2}][a_{3}][00][00][00][b_{3}][00][00][00][b_{0}]


11+((-1)+(-4))+((-1)+(-4))+(-1) = 0
11+((-4)+(-1))+((-4)+(-1))+(4+(-1))+(-4) = 0


n=5k+3:
Si ( a = 1r  &  b = 2n ) ==> ( F=a & V=b )
Si ( a = 2n  &  b = 1r ) ==> ( V=a & F=b )


[a_{0}][a_{1}][a_{2}][a_{3}][a_{4}][00][00][00][b_{3}][00][00][00][b_{0}]
[a_{0}][a_{1}][a_{2}][a_{3}][b_{4}][00][00][00][b_{3}][00][00][00][b_{0}]


12+((-1)+(-4))+((-1)+(-4))+((-1)+4)+((-1)+(-4)) = 0
12+((-4)+(-1))+((-4)+(-1))+(4+(-1))+((-4)+(-1)) = 0


n=5k+4:
Si ( a = 1r  &  b = 2n ) ==> ( F=a & V=b )
Si ( a = 2n  &  b = 1r ) ==> ( V=a & F=b )


[a_{0}][a_{3}][a_{2}][00][00][b_{2}][00][00][00][b_{1}][00][00][00][b_{0}]
[a_{0}][b_{3}][a_{2}][00][00][b_{2}][00][00][00][b_{1}][00][00][00][b_{0}]


13+((-1)+(-4))+((-1)+(-4))+(1+(-4)) = 0
13+((-4)+(-1))+((-4)+(-1))+((-4)+1) = 0