A very easy problem... Fortunately while playing the real game black made a mistake and let me stay alive... I hope I've included all the possible variations.
(;RU[Japanese]SZ[9]KM[0.00]
AW[hf][gg][ig][gh][hi]AB[hd][he][ff][gf][fg][fh]
(;B[ih]CR[ih]
(;W[ii]CR[ii]C[CHOICE]
(;B[ie]CR[ie]
;W[hh]CR[hh]
;B[if]CR[if]C[RIGHT
White has no two eyes])
(;B[hh]CR[hh]C[RIGHT
White can only make one eye.])
(;B[if]CR[if]
;W[ie]CR[ie]
(;B[id]CR[id]
;W[hh]CR[hh]C[Ko, you can do better.])
(;B[hh]CR[hh]C[RIGHT]))
(;B[hg]CR[hg]
;W[hh]CR[hh])
(;B[gi]CR[gi]
;W[hh]CR[hh])
(;B[fi]CR[fi]
;W[hh]CR[hh]))
(;W[hh]CR[hh]C[CHOICE]
(;B[if]CR[if]
;W[ie]CR[ie]
;B[id]CR[id]
;W[ii]CR[ii]C[Ko, you can do better.])
(;B[ie]CR[ie]
;W[ii]CR[ii]
;B[if]CR[if]C[RIGHT])
(;B[fi]CR[fi]
;W[ii]CR[ii])
(;B[id]CR[id]
;W[if]CR[if]C[White has two eyes.])))
(;B[hh]CR[hh]
;W[ih]CR[ih]C[White has 2 eyes])
(;B[hg]CR[hg]
;W[hh]CR[hh]C[White has two eyes.])
(;B[ii]CR[ii]
;W[ih]CR[ih])
(;B[ie]CR[ie]
;W[ih]CR[ih]
(;B[hg]CR[hg]
;W[if]CR[if]C[White has 2 eyes.])
(;B[if]CR[if]
;W[hg]CR[hg]))
(;B[fi]CR[fi]
;W[hh]CR[hh]C[White has two eyes.])
(;B[gi]CR[gi]
;W[ih]CR[ih])
(;B[if]CR[if]
;W[ie]CR[ie]
(;B[ih]CR[ih]
;W[hh]CR[hh]
;B[id]CR[id]
;W[ii]CR[ii]C[Ko; you can do better.])
(;B[hh]CR[hh]
;W[ih]CR[ih])
(;B[id]CR[id]
;W[ih]CR[ih]
(;B[if]CR[if]
;W[hg]CR[hg])
(;B[hg]CR[hg]
;W[if]CR[if]))
(;B[hg]CR[hg]
;W[hh]CR[hh])))