moves can't be made on the tengen. so this is same as one-dimentional 1x8 go with the ends joined. when black's move, the center stone is black. And when it's white's turn, - the center stone is white. ////chinese rules// no komi (thanks to kaf for improving the instruction part)
(;SZ[3]AB[aa]AW[ca]C[can you win?]MA[bb]AB[bb]AP[goproblems]
(;B[ac];W[cc]C[draw]MA[bb])
(;B[cc];W[ac]C[draw]MA[bb])
(;B[ab];W[bc]C[]MA[bb]
(;B[ba]AW[bb];W[ac];B[aa];W[cb]C[w wins by 4])
(;B[cc];W[cb]C[w wins by 2])
(;B[cb]AW[bb];W[cc]AB[bb]
(;B[cb]C[NOTTHIS])
(;B[ac]AW[bb];W[ba]MA[bb])
(;B[ba]AW[bb];W[ac]MA[bb])))
(;B[ba]AW[bb];W[ab]C[FORCE]AB[bb]MA[bb]
(;B[cb]AW[bb];W[cc]AW[bb]MA[bb])
(;B[ba]AW[bb];W[aa]AB[bb]
(;B[cb]AW[bb];W[cc])
(;B[cc];W[ac]C[w wins by 4]AW[bb])
(;B[ba]C[NOTTHIS]))
(;B[cc];W[ba];B[bc]C[w wins by 2]))
(;B[cb]AW[bb];W[cc]AB[bb]MA[bb]
(;B[bc]AW[bb];W[ac]C[white wins by 4])
(;B[ac]C[draw])
(;B[ab];W[bc]C[w wins by 2]
(;B[cb]C[NOTTHIS])
(;B[ac]AW[bb];W[ba]MA[bb])
(;B[ba]AW[bb];W[ac]MA[bb]))
(;B[cb]C[this is a suicide move, - not allowedNOTTHIS]))
(;B[bc]AW[bb]
(;W[cc]C[CHOICE]MA[bb]AB[bb]
(;B[cb]C[FORCE];W[ac]C[]MA[bb];B[ba]AW[bb];W[cc]C[white's whole board victory (black cannot take at b1 because of ko rule)]MA[bb])
(;B[ab]AW[bb];W[ac]MA[bb])
(;B[ac]AW[bb];W[ab]AB[bb]MA[bb]
(;B[ac]C[draw])
(;B[bc]AW[bb];W[ac]AB[bb]MA[bb];B[bc]AW[bb];W[ac]C[white wins by 4]))
(;B[ba]AW[bb];W[ab]MA[bb]AB[bb]
(;B[cb]AW[bb];W[ac]AB[bb]MA[bb]
(;B[ba]AW[bb];W[cc]C[white's whole board victory.])
(;B[aa];W[ac]C[]MA[bb];B[ba]AW[bb];W[cc]C[white's whole board victory (black cannot take at b1 because of ko rule)]MA[bb])
(;B[cc]C[NOTTHIS]))
(;B[aa]AW[bb];W[ac]AB[bb]MA[bb];B[bc]AW[bb];W[ac]C[white wins by 4])
(;B[ba]AW[bb];W[ac]MA[bb];B[cb]C[black's whole board victoryRIGHT]MA[bb]AB[bb])))
(;W[cb];B[ab]C[b wins by 2RIGHT])))