(;AB[an]AB[bn]AB[cn]AB[co]AB[cp]AB[cq]AB[dq]AW[bm]AW[dm]AB[bp]AB[bq]AW[dp]AW[ep]AW[gp]AW[ip]AW[ao]AW[ap]AW[aq]AB[br]AB[fp]AW[cr]AW[dr]AW[er]AW[bs]AW[bk]AW[dn]AW[am]AW[dl]AW[jq]C[black to live]AW[hp]AB[gn]AB[hm]AP[goproblems]
(;B[eq]
(;W[fq]C[CHOICE]
(;B[fr];W[gq]
(;B[es]
(;W[cs]C[CHOICE]
(;B[gr]
(;W[hr]C[CHOICE]
(;B[fs]
(;W[ar]C[CHOICE]
(;B[bo];W[hs];B[as];W[ar];B[aq];W[gs];B[as];W[ds]C[];B[fr]C[Yes, ko is the best black can get hereRIGHT])
(;B[fo];W[do]))
(;W[hs];B[ar];W[gs];B[as];W[ds];B[fr]C[RIGHT]))
(;B[ar];W[gs])
(;B[as];W[ar]
(;B[fs];W[do])
(;B[bo];W[gs]))
(;B[fo];W[do];B[fs];W[ar]))
(;W[fs];B[hr]
(;W[ir];B[ar];W[hq];B[as]C[RIGHT])
(;W[ar];B[bo]
(;W[ir];B[as];W[ar];B[aq]C[koRIGHT]))))
(;B[gs];W[gr])
(;B[fo];W[do])
(;B[fs];W[gr])
(;B[ar];W[gr])
(;B[as];W[ar]
(;B[bo];W[gr])
(;B[gr];W[do])))
(;W[gr];B[cs];W[fs];B[as]C[sekiRIGHT])
(;W[fs];B[gs];W[cs];B[ar];W[gr];B[as];W[fs]C[koRIGHT]))
(;B[gr];W[hr]
(;B[es];W[fs]
(;B[cs];W[ds])
(;B[gs];W[cs])
(;B[ds];W[gs]))
(;B[cs];W[ds])
(;B[fs];W[hs]
(;B[es];W[gs])
(;B[cs];W[ds];B[as];W[ar])
(;B[as];W[ar]
(;B[es];W[gs])
(;B[cs];W[ds])
(;B[bo];W[gs]))))
(;B[fs];W[gr]
(;B[cs];W[ds])
(;B[es];W[gs]))
(;B[gs];W[gr]
(;B[es];W[cs])
(;B[cs];W[ds]))
(;B[cs];W[ds]
(;B[gr];W[hr])
(;B[fs];W[gr])
(;B[as];W[ar]))
(;B[ds];W[fs])
(;B[as];W[ar]
(;B[bo];W[cs])
(;B[cs];W[ds])
(;B[es];W[cs]))
(;B[fo];W[do];B[es];W[cs]
(;B[ar];W[gr])
(;B[gr];W[hr])
(;B[as])))
(;B[cs];W[ds];B[fr];W[gq])
(;B[fo];W[do];B[fr];W[gq])
(;B[as];W[ar];B[fr];W[gq])
(;B[gq];W[fr])
(;B[eo];W[do])
(;B[do];W[eo]))
(;W[fr];B[fo];W[en];B[fq]C[RIGHT]))
(;B[as];W[cs];B[eq];W[fq]
(;B[fr];W[gq]
(;B[gr];W[ar]
(;B[bo];W[hr])
(;B[es]))
(;B[es]))
(;B[fo];W[do];B[fr];W[gq]
(;B[es];W[ar])
(;B[gr];W[ar])
(;B[bo];W[fs])
(;B[fs];W[ar]))
(;B[ar];W[fo])
(;B[do];W[fo]))
(;B[ar];W[eq])
(;B[fq];W[eq])
(;B[fo];W[eq])
(;B[cs];W[ds]
(;B[eq];W[fq])
(;B[as];W[ar]
(;B[eq];W[fq]
(;B[fr];W[gq])
(;B[fo];W[do]))
(;B[do];W[eo];B[eq];W[fq];B[fr];W[gq])
(;B[bo];W[eq])))
(;B[do];W[eo]))