(;AB[rf]AB[re]AB[rd]AB[qd]AB[pd]AB[pc]AB[ob]AB[nb]AB[nd]AW[pb]AW[pa]AW[qb]AW[rc]AB[sb]AW[sc]TR[sc]C[black to administer coup de grace]LB[nf:T
]AP[goproblems]
(;B[ne]C[NOTTHIS])
(;B[oe]C[NOTTHIS])
(;B[of]C[NOTTHIS])
(;B[og]C[NOTTHIS])
(;B[ng]C[NOTTHIS])
(;B[mg]C[NOTTHIS])
(;B[mf]C[NOTTHIS])
(;B[me]C[NOTTHIS])
(;B[nf]
(;W[ra]C[CHOICE]
(;B[qc];W[rb])
(;B[sd];W[rb])
(;B[rb];W[sa]
(;B[rb];W[sb])
(;B[qc];W[rb]))
(;B[sa];W[rb]))
(;W[rb]
(;B[ra];W[sa]C[*four* stage ko, white takes first, not bloody likely; also, s18 was white's mistake]LB[oa:1]LB[qc:2]LB[sd:3]LB[sb:4])
(;B[sa];W[ra]))
(;W[qc]
(;B[rb];W[ra])
(;B[ra];W[rb];B[sa];W[qa];B[sa]C[q17 was white's mistake]MA[qc])
(;B[sa];W[ra])))
(;B[rb]
(;W[ra]C[CHOICE];B[sd];W[sa]
(;B[qc];W[rb])
(;B[rb];W[sb]))
(;W[sa];B[ra];W[qc]C[t19 was white's mistake]TR[sa])
(;W[qc];B[ra]C[r17 was white's mistake]TR[qc]))
(;B[sa];W[ra];B[qc];W[rb])
(;B[qa];W[ra])
(;B[ra]
(;W[qa]
(;B[rb];W[sa];B[rb]C[this is what igowin did to me, its live-group algorithm seems weak compared to human logicRIGHT])
(;B[qc];W[rb]
(;B[sd];W[sa])
(;B[oa];W[sa]))
(;B[sa];W[rb];B[sa]C[RIGHT]))
(;W[rb]
(;B[sa];W[qa];B[sa]C[RIGHT])
(;B[qa];W[sa]))
(;W[qc]
(;B[rb]C[RIGHT])
(;B[qa];W[rb]
(;B[sd];W[sa])
(;B[oa];W[sa]))
(;B[sa]C[RIGHT])))
(;B[qc]
(;W[ra]
(;B[rb];W[sa]
(;B[sb];W[rb])
(;B[rb];W[sb])
(;B[sd];W[rb]))
(;B[sd];W[rb]))
(;W[rb]
(;B[ra];W[qa]
(;B[sd];W[sa])
(;B[oa];W[sa]))
(;B[qa];W[ra])))
(;B[sd];W[ra])
(;B[oa];W[ra])
(;B[se]C[NOTTHIS])
(;B[sf]C[NOTTHIS])
(;B[sg]C[NOTTHIS])
(;B[rg]C[NOTTHIS])
(;B[qg]C[NOTTHIS])
(;B[pg]C[NOTTHIS])
(;B[qf]C[NOTTHIS])
(;B[pf]C[NOTTHIS])
(;B[qe]C[NOTTHIS])
(;B[pe]C[NOTTHIS])
(;B[od]C[NOTTHIS])
(;B[md]C[NOTTHIS])
(;B[mc]C[NOTTHIS])
(;B[nc]C[NOTTHIS])
(;B[oc]C[NOTTHIS])
(;B[mb]C[NOTTHIS])
(;B[ma]C[NOTTHIS])
(;B[na]C[NOTTHIS]))