(;AB[aq]AB[br]AB[eq]AB[dq]AB[fq]AB[fr]AB[fs]AW[bp]AW[cp]AW[dp]AW[ep]AW[gp]AW[fp]AW[gq]AW[gr]AW[gs]AW[dr]C[Black to live unconditionally with points]AB[cq]AW[cr]AW[bn]AP[goproblems]
(;B[ds]
(;W[cs]
(;B[bs];W[es]
(;B[bq];W[ap];B[er]C[RIGHT])
(;B[er];W[bq]))
(;B[er];W[es];B[bq];W[bs]
(;B[as];W[ar];B[ds]C[Alive in double ko. White has infinite ko threats now thoughRIGHT])
(;B[ds]C[NOTTHIS])
(;B[ar];W[ap]C[Ko.]))
(;B[bq];W[bs];B[er];W[es];B[as]C[Alive in double ko. White has infinite ko threats now thoughRIGHT])
(;B[es];W[bq]))
(;W[bq];B[cs]C[RIGHT])
(;W[bs]
(;B[er]C[RIGHT])
(;B[bq];W[cs]
(;B[es];W[ap]
(;B[ar]C[Seki])
(;B[as];W[ar]C[Ko]))
(;B[er];W[es]
(;B[as])
(;B[ar];W[ap]C[Ko.]))
(;B[as];W[es]
(;B[er])
(;B[ar];W[ap])))))
(;B[cs];W[ds]
(;B[bs];W[bq])
(;B[bq];W[bs]
(;B[ar]C[Seki])
(;B[as];W[ar]C[Ko.])
(;B[er];W[ap]
(;B[ar]C[Seki])
(;B[as];W[ar]C[Ko])))
(;B[er];W[bs]
(;B[bq];W[ap]
(;B[ar]C[Seki])
(;B[as];W[ar]C[Ko]))
(;B[es];W[bq])
(;B[as];W[bq]))
(;B[es];W[bs]
(;B[er];W[bq])
(;B[bq];W[ap]
(;B[ar]C[Seki])
(;B[as];W[ar]C[Ko]))))
(;B[bq];W[bs]
(;B[ds];W[cs]
(;B[er];W[es];B[as]C[Alive in double ko. White has infinite ko threats now thoughRIGHT])
(;B[as];W[es];B[er]C[Alive in double ko. White has infinite ko threats now thoughRIGHT]))
(;B[ar];W[ds]C[Seki])
(;B[er];W[cs]
(;B[ds];W[es];B[as]C[Alive in double ko. White has infinite ko threats now thoughRIGHT])
(;B[as];W[ar]
(;B[ds];W[es];B[as]C[Alive in double ko.RIGHT])
(;B[es];W[ap]C[Ko.])))
(;B[cs];W[ds]
(;B[ar]C[Seki])
(;B[as];W[ar]C[Ko.])
(;B[er];W[ap]
(;B[ar]C[Seki])
(;B[as];W[ar]C[Ko])))
(;B[as];W[ds]C[Ko. Black can make seki, but either result is unsatisfactory.])
(;B[es];W[cs]
(;B[ar]C[Seki])
(;B[as];W[ap]C[Ko.])
(;B[er];W[ap]
(;B[ar]C[Seki])
(;B[as];W[ar]C[Ko]))
(;B[ds];W[ap]
(;B[ar]C[Seki])
(;B[as];W[ar]C[Ko]))))
(;B[bs];W[bq]
(;B[ds];W[er])
(;B[ar]C[Dead in gote.]))
(;B[as];W[bq])
(;B[ar];W[bq])
(;B[es];W[bs]
(;B[bq];W[cs]
(;B[ar]C[Seki])
(;B[as];W[ap]C[Ko.])
(;B[er];W[ap]
(;B[ar]C[Seki])
(;B[as];W[ar]C[Ko]))
(;B[ds]))
(;B[cs];W[ds]
(;B[er];W[bq])
(;B[bq];W[ap]
(;B[ar]C[Seki])
(;B[as];W[ar]C[Ko]))))
(;B[er];W[bq]))