black to win the game. there are no prisoners at the beginning of the problem and white has a 0.5 komi. (sorry, i probably didn't put in all the combinations.)
(;
AW [ab][hb][lb][ac][bc][hc][lc][ad][cd][hd][ld][md][ce][he][ie][je][ke][le][af][bf][cf][df][cg][eg][fg][hg][ch][fh][hh][ih][ci][di][ei][fi][hi][li][dj][gj][hj][ij][jj][kj][lj][mj][hk][lk][kl]
AB [aa][ba][bb][cb][db][eb][fb][gb][dc][gc][dd][gd][de][ge][me][ef][ff][gf][hf][if][jf][kf][lf][mf][ag][bg][gg][ig][bh][gh][jh][lh][mh][bi][gi][ii][ji][ki][mi][cj][ej][fj][bk][dk][fk][gk][el]
SZ [13]
C [black to win the game.]
(;B[hl] ;W[il]
(;B[gl] ;W[hm]
(;B[gm] ;W[ga]
(;B[fa] ;W[im] ;B[ha] ;W[ia] ;B[ga] C[RIGHT black wins: 33 to 32.5.])
(;B[im] ;W[jm]
(;B[fa] ;W[ha] ;B[hm] C[RIGHT black wins: 33 to 32.5.])
(;B[hm] ;W[fa] ;B[ea] ;W[ha] C[white wins: 32.5 to 32.])
)
)
(;B[ha] ;W[ia]
(;B[ga] ;W[gm] ;B[fm] ;W[im] C[white wins: 32.5 to 32.])
(;B[gm] ;W[ga]
(;B[im] ;W[jm]
(;B[fa] ;W[ha] ;B[hm] C[RIGHT black wins: 33 to 32.5.])
(;B[hm] ;W[fa] ;B[ea] ;W[ha] C[white wins: 32.5 to 32.])
)
(;B[fa] ;W[im] ;B[ha] ;W[ck] ;B[cl] ;W[ga] C[white will win the ko as black has no ko threats. white wins: 34.5 to 33.])
)
)
(;B[ga] ;W[gm]
(;B[ha] ;W[ia] ;B[fm] ;W[im] C[white wins: 32.5 to 32.])
(;B[fm] ;W[im] ;B[ha] ;W[ia] C[white wins: 32.5 to 32.])
)
)
(;B[ha] ;W[ia]
(;B[gl] ;W[ga]
(;B[im] ;W[jm]
(;B[hm] ;W[fa] ;B[ea] ;W[ha] C[white wins: 32.5 to 32.])
(;B[fa] ;W[hm] ;B[gm] ;W[im] ;B[ha] ;W[ck] ;B[cl] ;W[ga] C[white will win the ko as black has no ko threats. white wins: 34.5 to 33.])
)
(;B[fa] ;W[hm] ;B[gm] ;W[im] ;B[ha] ;W[ck] ;B[cl] ;W[ga] C[white will win the ko as black has no ko threats. white wins: 34.5 to 33.])
)
(;B[ga] ;W[gl] ;B[fl] ;W[hm] ;B[fm] ;W[gm] C[white wins: 35.5 to 31.])
)
(;B[gm] ;W[im]
(;B[hm] ;W[ga] ;B[fa] ;W[ha] C[white wins: 33.5 to 33.])
(;B[ga] ;W[hm]
(;B[ha] ;W[ia] ;B[gl] C[RIGHT black wins: 33 to 32.5])
(;B[gl] ;W[ha] C[white wins: 33.5 to 33.])
)
(;B[ha] ;W[ia] ;B[ga] ;W[hm] ;B[gl] C[RIGHT black wins: 33 to 32.5.])
)
)
(;B[ha] ;W[ia]
(;B[hl] ;W[il] ;B[gl] ;W[ga]
(;B[im] ;W[jm] ;B[hm] ;W[fa] ;B[ea] ;W[ha] C[white wins: 32.5 to 32.])
(;B[fa] ;W[hm] ;B[gm] ;W[im] ;B[ha] ;W[ck] ;B[cl] ;W[ga] C[white will win the ko as black has no ko threats. white wins: 34.5 to 32.])
)
(;B[ga] ;W[gl] ;B[fl]
(;W[hm] ;B[fm] ;W[gm] ;B[ib] ;W[ja] ;B[jb] ;W[ka] ;B[kb] ;W[la] C[CHOICE white wins: 35.5 to 31.])
(;W[gm] ;B[fm] ;W[hl] ;B[ib] ;W[ja] ;B[jb] ;W[ka] ;B[kb] ;W[la] C[CHOICE white wins: 35.5 to 31.])
)
)
(;B[gl] ;W[hl]
(;B[hm] ;W[im]
(;B[gm] ;W[ga] ;B[fa] ;W[ha] C[white wins: 34.5 to 32.])
(;B[ha] ;W[ia]
(;B[gm] ;W[ga] ;B[fa] ;W[ha] C[white wins: 34.5 to 32.])
(;B[ga] ;W[gm] ;B[fm] ;W[hm] C[white wins: 34.5 to 32.])
)
)
(;B[ha] ;W[ia] ;B[ga] ;W[gm] ;B[fm] ;W[hm] C[white wins: 34.5 to 32.])
(;B[ga] ;W[ha] ;B[hm] ;W[im] ;B[gm] ;W[cc] C[white wins: 34.5 to 33.])
(;B[gm] ;W[ga] ;B[hm] ;W[im] ;B[fa] ;W[ha] C[white wins: 34.5 to 32.])
)
(;B[fl] ;W[hl] C[white wins.])
(;B[gm] ;W[hl] ;B[hm] ;W[im]
(;B[gl] ;W[ga] ;B[fa] ;W[ha] C[white wins: 34.5 to 32.])
(;B[il] ;W[gl]
(;B[jm] ;W[fm] C[white wins.])
(;B[fm] ;W[jm] C[white wins.])
)
)
(;B[hm] ;W[im]
(;B[il] ;W[hl]
(;B[gm] ;W[jm] ;B[gl] ;W[ga] ;B[fa] ;W[ha] C[white wins: 34.5 to 32.])
(;B[jm] ;W[gl]
(;B[gm] ;W[fl] C[white wins.])
(;B[fl] ;W[fm] C[white wins.])
)
)
(;B[hl] ;W[il] ;B[gl] ;W[ga] ;B[fa] ;W[ha] C[white wins: 33.5 to 33.])
(;B[gm] ;W[hl]
(;B[gl] ;W[ga] ;B[fa] ;W[ha] C[white wins: 34.5 to 32.])
(;B[ha] ;W[ia]
(;B[gl] ;W[ga] ;B[fa] ;W[ha] C[white wins: 34.5 to 32.])
(;B[ga] ;W[gl] C[white wins.])
)
)
(;B[gl] ;W[hl] ;B[ha] ;W[ia]
(;B[gm] ;W[ga] ;B[fa] ;W[ha] C[white wins: 34.5 to 32.])
(;B[ga] ;W[gm] ;B[fm] ;W[hm] C[white wins: 34.5 to 32.])
)
)
)