(;SZ[19]AB[cr]AB[bq]AB[bp]AB[cl]AB[dm]AB[dn]AB[do]AB[ep]AB[eq]AB[es]AB[er]AB[bj]AB[cj]AB[cs]AB[dl]AB[ej]AW[bo]AW[co]AW[cp]AW[dp]AW[dq]AW[dr]AW[ds]AW[cm]AW[cn]AW[ap]AW[bl]C[Can black live in the corner?]FF[4]GM[1]AP[SGFC:1.14]GN[templd31]
(;B[ar];W[bs]
(;B[ao];W[an]
(;B[bm];W[ao]
(;B[am];W[al]
(;B[bk];W[bn]
(;B[bm];W[cq];B[br];W[am];B[ak]C[gote seki. RIGHT])
(;B[am];W[cq];B[br];W[bm];B[ak]C[gote seki. RIGHT])
(;B[ak];W[cq];B[br];W[aq])
(;B[br];W[cq]
(;B[bm];W[am];B[ak]C[gote seki. RIGHT])
(;B[am];W[bm];B[ak]C[gote seki. RIGHT])))
(;B[ak];W[bn]
(;B[am];W[cq];B[br];W[bm];B[bk]C[gote seki. RIGHT])
(;B[bm];W[cq];B[br];W[am];B[bk]C[gote seki. RIGHT])
(;B[bk];W[cq];B[br];W[aq])
(;B[br];W[cq]
(;B[bm];W[am];B[bk]C[gote seki. RIGHT])
(;B[am];W[bm];B[bk]C[gote seki. RIGHT])))
(;B[br];W[cq]
(;B[bk];W[bn]
(;B[bm];W[am];B[ak]C[gote seki. RIGHT])
(;B[am];W[bm];B[ak]C[gote seki. RIGHT]))
(;B[ak];W[bn]
(;B[bm];W[am];B[bk]C[gote seki. RIGHT])
(;B[am];W[bm];B[bk]C[gote seki. RIGHT]))))
(;B[bn];W[cq];B[br];W[am]C[black dies])
(;B[al];W[cq];B[br];W[aq])
(;B[bk];W[cq];B[br];W[aq])
(;B[br];W[cq];B[am];W[al]
(;B[bk];W[bn]
(;B[bm];W[am];B[ak]C[gote seki. RIGHT])
(;B[am];W[bm];B[ak]C[gote seki. RIGHT]))
(;B[ak];W[bn]
(;B[bm];W[am];B[bk]C[gote seki. RIGHT])
(;B[am];W[bm];B[bk]C[gote seki. RIGHT]))))
(;B[aq];W[cq])
(;B[bk];W[cq];B[br];W[ao])
(;B[am];W[bm])
(;B[al];W[cq];B[br];W[ao])
(;B[cq];W[ao])
(;B[br];W[bm];B[al];W[ao]C[white wins])
(;B[ak];W[bm];B[al];W[cq];B[br];W[ao]))
(;B[an];W[ao]
(;B[bm];W[al]
(;B[cq];W[am])
(;B[aq];W[am])
(;B[bk];W[bn])
(;B[ak];W[bn])
(;B[bn];W[am]C[white wins])
(;B[am];W[bn]C[white wins]))
(;B[bn];W[cq];B[br];W[bm])
(;B[br];W[bm]C[white wins]))
(;B[bm];W[ao]
(;B[an];W[al]
(;B[bk];W[bn])
(;B[ak];W[bn])
(;B[bn];W[am]C[white wins])
(;B[am];W[bn]C[white wins])
(;B[cq];W[am])
(;B[aq];W[am]))
(;B[bn];W[am]
(;B[bk];W[an]
(;B[bm];W[bn];B[ak];W[cq])
(;B[bn];W[cq])
(;B[ak];W[cq]))
(;B[ak];W[an]C[white wins]))
(;B[al];W[cq];B[br];W[aq])
(;B[bk];W[cq];B[br];W[aq]))
(;B[bn];W[ao]
(;B[bm];W[am]
(;B[bk];W[an]
(;B[bm];W[bn];B[ak];W[cq])
(;B[bn];W[cq])
(;B[ak];W[cq]))
(;B[ak];W[an]C[white wins]))
(;B[an];W[cq];B[br];W[bm]))
(;B[bk];W[ao])
(;B[cq];W[ao])
(;B[aq];W[ao])
(;B[br];W[ao];B[bm];W[am]
(;B[bn];W[an]C[white wins])
(;B[ak];W[bn]C[white wins])))
(;B[cq];W[ar]
(;B[aq];W[ao]C[white wins])
(;B[bm];W[aq])
(;B[ao];W[aq]))
(;B[bs];W[ar]
(;B[ao];W[aq])
(;B[aq];W[ao]C[white wins])
(;B[an];W[ao]
(;B[aq];W[cq])
(;B[bm];W[al]
(;B[aq];W[am])
(;B[cq];W[aq])
(;B[bk];W[bn])
(;B[ak];W[bn]))
(;B[al];W[aq])))
(;B[aq];W[ao]
(;B[cq];W[ar])
(;B[br];W[as]
(;B[bm];W[am]
(;B[bn];W[an]C[white wins])
(;B[ak];W[bn];B[al];W[cq]C[white wins]))
(;B[an];W[bm]C[white wins])
(;B[bn];W[bm]C[white wins]))
(;B[bm];W[am]
(;B[br];W[as]
(;B[bn];W[an]C[white wins])
(;B[ak];W[bn];B[al];W[ar]C[white wins]))
(;B[as];W[br])
(;B[bn];W[an]C[white wins])
(;B[ak];W[bn]C[white wins]))
(;B[as];W[br]))
(;B[br];W[ao]
(;B[aq];W[as]
(;B[bm];W[am]
(;B[bn];W[an]C[white wins])
(;B[ak];W[bn];B[al];W[ar]C[white wins]))
(;B[an];W[bm]C[white wins])
(;B[bn];W[bm]C[white wins]))
(;B[bm];W[am]
(;B[aq];W[as]
(;B[bn];W[an]C[white wins])
(;B[ak];W[bn];B[al];W[ar]C[white wins]))
(;B[bn];W[aq]C[white wins])
(;B[ak];W[bn]
(;B[al];W[aq]C[white wins])
(;B[aq];W[as]C[white wins];B[al];W[ar]C[white wins]))))
(;B[ao];W[ar]
(;B[br];W[an]
(;B[aq];W[as]
(;B[bm];W[am]
(;B[ak];W[cq];B[ao];W[bn]C[white can play ko if she has enough threats (or she could have chosen sente seki instead by connecting the ko earlier).])
(;B[bk];W[cq];B[ao];W[bn]C[white can play ko if she has enough threats (or she could have chosen sente seki instead by connecting the ko earlier).])
(;B[ao];W[ak];B[bk];W[bn];B[aj];W[cq]C[black cannot win the double ko]))
(;B[ao];W[bm];B[al];W[ak];B[bk];W[am]C[double ko, white wins])
(;B[bk];W[ao])
(;B[am];W[bm])
(;B[al];W[ao])
(;B[ak];W[ao]))
(;B[as];W[bs]C[ko white takes first (white connects at A3 to finish the ko)]))
(;B[aq];W[br]
(;B[cq];W[an]C[ko white takes first (black would play B7 next)])
(;B[bs];W[cq];B[as];W[ar];B[br];W[an]C[ko white takes first (black would play B7 next)])
(;B[as];W[cq];B[bs];W[ar];B[br];W[an]C[ko white takes first (black would play B7 next)])
(;B[bm];W[am]
(;B[cq];W[bn]
(;B[bk];W[ak];B[aj];W[an]C[double ko, white wins])
(;B[ak];W[an]C[ko white takes first (black would play B7 next), A8 instead would have given white a seki])
(;B[bs];W[ak];B[bk];W[an]C[double ko, white wins])
(;B[as];W[ak];B[bk];W[an]C[double ko white wins]))
(;B[bk];W[bn]
(;B[cq];W[ak];B[aj];W[an]C[double ko, white wins])
(;B[bs];W[cq];B[as];W[ar];B[br];W[ak];B[aj];W[an]C[double ko, white wins])
(;B[as];W[cq];B[bs];W[ar];B[br];W[ak];B[aj];W[an]C[double ko, white wins]))
(;B[ak];W[bn]
(;B[cq];W[an]C[ko white takes first, A8 instead would have given white a seki])
(;B[bs];W[cq];B[as];W[ar];B[br];W[an]C[ko white takes first, A8 instead would have given white a seki])
(;B[as];W[cq];B[bs];W[br];B[ar];W[an]C[ko white takes first, A8 instead would have given white a seki]))
(;B[bs];W[ak]
(;B[bk];W[bn]C[double ko, white wins])
(;B[an];W[bn]
(;B[cq];W[ap];B[ao];W[bk])
(;B[bk];W[ap];B[ao];W[an]C[double ko, white wins]))
(;B[cq];W[bn];B[bk];W[an]C[double ko, white wins]))
(;B[as];W[ak]C[white wins through double ko, see variations at B1])
(;B[an];W[bn]
(;B[cq];W[ap];B[ao];W[ak];B[bk];W[an]C[double ko, white wins])
(;B[ak];W[ap];B[ao];W[cq])
(;B[bk];W[ap];B[ao];W[cq])))
(;B[an];W[cq])
(;B[bn];W[bm]
(;B[an];W[cq])
(;B[cq];W[an];B[al];W[ak];B[bk];W[am]C[white wins through double ko]))
(;B[am];W[cq]))
(;B[as];W[an]
(;B[br];W[bs]C[ko white takes first (white connects at A3 to finish the ko)])
(;B[aq];W[bs];B[ao];W[cq]))
(;B[an];W[br]
(;B[bm];W[bs])
(;B[bn];W[bs])
(;B[aq];W[cq])
(;B[cq];W[aq])
(;B[bs];W[cq]))
(;B[bm];W[aq]
(;B[an];W[br])
(;B[br];W[an])
(;B[cq];W[an])
(;B[bn];W[an]))
(;B[bn];W[aq]
(;B[bm];W[an])
(;B[an];W[bm])
(;B[br];W[an])
(;B[cq];W[bm]))
(;B[cq];W[aq])
(;B[bs];W[aq]))
(;B[bm];W[ao]
(;B[al];W[ar]
(;B[aq];W[br])
(;B[br];W[cq]))
(;B[bk];W[ar]
(;B[aq];W[br])
(;B[br];W[cq])
(;))
(;B[an];W[al]
(;B[aq];W[am])
(;B[bk];W[bn])
(;B[ak];W[bn])
(;B[cq];W[am])
(;B[ar];W[bs]
(;B[cq];W[am])
(;B[aq];W[am])
(;B[bk];W[bn])
(;B[ak];W[bn])
(;B[bn];W[am]C[white wins])
(;B[am];W[bn]C[white wins]))
(;B[bn];W[ar])
(;B[am];W[ar])
(;B[br];W[am])
(;B[as];W[am]))
(;B[ar];W[bs]
(;B[al];W[cq];B[br];W[aq])
(;B[bk];W[cq];B[br];W[aq])
(;B[an];W[al]
(;B[bk];W[bn])
(;B[ak];W[bn])
(;B[aq];W[am])
(;B[cq];W[am])
(;B[bn];W[am]C[white wins])
(;B[am];W[bn]C[white wins]))
(;B[bn];W[am]C[white wins]
(;B[bk];W[an]
(;B[bm];W[bn];B[ak];W[cq])
(;B[bn];W[cq])
(;B[ak];W[cq]))
(;B[ak];W[an]C[white wins])))
(;B[aq];W[am]
(;B[bn];W[an]C[white wins])
(;B[br];W[as]C[white wins]
(;B[bn];W[an]C[white wins])
(;B[ak];W[bn];B[al];W[cq]C[white wins]))
(;B[as];W[br]C[white wins])
(;B[ak];W[bn]C[white wins]))
(;B[bn];W[am]C[white wins here])
(;B[br];W[am]
(;B[aq];W[as]
(;B[bn];W[an]C[white wins])
(;B[ak];W[bn]C[white wins];B[al];W[ar]C[white wins]))
(;B[bn];W[an]C[white wins])
(;B[ak];W[bn]C[white wins]
(;B[al];W[aq]C[white wins])
(;B[aq];W[as]C[white wins]))))
(;B[an];W[ao]
(;B[aq];W[bm]C[white wins])
(;B[bm];W[al]
(;B[aq];W[am])
(;B[bk];W[bn])
(;B[ak];W[bn])
(;B[cq];W[am])
(;B[bn];W[am];B[bn];W[ar])
(;B[am];W[bn];B[am];W[ar])
(;B[ar];W[bs]
(;B[bk];W[bn])
(;B[ak];W[bn])
(;B[aq];W[am])
(;B[cq];W[am])
(;B[bn];W[am]C[white wins])
(;B[am];W[bn]C[white wins]))
(;B[as];W[am])
(;B[br];W[am]))
(;B[ar];W[bs]
(;B[bm];W[al]
(;B[bk];W[bn])
(;B[ak];W[bn])
(;B[aq];W[am])
(;B[cq];W[am])
(;B[bn];W[am]C[white wins])
(;B[am];W[bn]C[white wins]))
(;B[bn];W[bm]C[white wins]))
(;B[bn];W[bm]C[white wins])
(;B[br];W[bm]C[white wins here]))
(;B[bk];W[bm]
(;B[an];W[ao]
(;B[al];W[ar]
(;B[br];W[cq])
(;B[aq];W[br])
(;B[am];W[br]))
(;B[ar];W[bs]C[white wins])
(;B[br];W[aq]C[white wins])
(;B[aq];W[cq]C[white wins]))
(;B[aq];W[ao]C[white wins here])
(;B[ar];W[bs]
(;B[ao];W[an];B[al];W[ao]C[white wins])
(;B[an];W[ao]C[white wins])
(;B[br];W[ao])
(;B[al];W[ao]C[white wins]))
(;B[br];W[ao]C[white is ahead])
(;B[ao];W[an]
(;B[al];W[ar]
(;B[aq];W[br])
(;B[br];W[aq]))
(;B[ar];W[bs];B[al];W[ao]C[white wins])
(;B[bs];W[ar];B[al];W[aq]))
(;B[al];W[ao]
(;B[ar];W[bs]C[white wins])
(;B[bs];W[ar])
(;B[aq];W[cq]C[white is ahead])
(;B[br];W[aq]C[white is ahead]))))