(;AB[rr]AB[rp]AB[qp]AB[op]AB[np]AB[nq]AB[nr]AW[or]AW[oq]AW[pq]AW[qq]AW[rq]AB[qn]AP[goproblems]
(;W[sr]
(;B[qr]
(;W[qs]
(;B[ps]
(;W[rs];B[ss]
(;W[rs];B[qs]
(;W[os];B[ss]
(;W[sq]C[When White captures the Black stones (Q2, S1) a living shape results.RIGHT])
(;W[pr];B[sq])
(;W[sp];B[sq]C[Ko])
(;W[pp];B[po]
(;W[rs]C[Just ko.])
(;W[sq];B[ns]C[Ko])
(;W[pr];B[sq])
(;W[ns];B[sq]C[The white group has no eyes or startegic value; even if it would escape it is just a burden to White. This is in most cases even better for Black than fighting an all-out ko.])
(;W[sp];B[sq]C[Ko]))
(;W[ns];B[sq]C[The white group has no eyes or startegic value; even if it would escape it is just a burden to White. This is in most cases even better for Black than fighting an all-out ko.]))
(;W[pr];B[ss]C[Ko])
(;W[sq];B[os])
(;W[ss];B[sq])
(;W[ns];B[ss]
(;W[os];B[sq]C[The white group has no eyes or startegic value; even if it would escape it is just a burden to White. This is in most cases even better for Black than fighting an all-out ko.])
(;W[pr];B[sq])
(;W[sq];B[os]C[]
(;W[rs]C[Ko])
(;W[pr];B[ms])
(;W[pp];B[ms]C[The white group has no eyes or startegic value; even if it would escape it is just a burden to White. This is in most cases even better for Black than fighting an all-out ko.])
(;W[sp];B[ms])
(;W[ms];B[sp]
(;W[pr];B[pp])
(;W[rs]C[Ko])
(;W[pp];B[mr])))
(;W[ms];B[sq])
(;W[sp];B[os]
(;W[ms];B[mr])
(;W[sq];B[ms])
(;W[pr];B[ms]))))
(;W[sq];B[os])
(;W[qs];B[os]
(;W[sq];B[pr])
(;W[rs];B[ss]
(;W[rs];B[pr])
(;W[pr];B[sq])
(;W[sq];B[pr])
(;W[qs];B[sq]))
(;W[pr]
(;B[rs])
(;B[sq];W[ns];B[ms]))
(;W[ns];B[ms]
(;W[rs];B[ss]
(;W[rs];B[pr])
(;W[pr];B[sq])
(;W[sq];B[pr]))
(;W[pr];B[sq])
(;W[sq];B[pr])))
(;W[pr];B[sq])
(;W[os];B[sq])
(;W[ns];B[sq]))
(;W[pr];B[rs];W[os];B[qs])
(;W[os];B[rs]
(;W[pr];B[qs])
(;W[sq];B[ns]
(;W[pr];B[qs])
(;W[ss];B[pp])))
(;W[sq];B[os]
(;W[rs];B[ss])
(;W[pr];B[rs];W[ss];B[ns];W[qs];B[rr])))
(;B[rs]
(;W[ps]C[RIGHT])
(;W[os];B[ps])))
(;W[rs];B[qs]C[]
(;W[ps];B[ss]C[Ko])
(;W[pr];B[ss]C[Ko])
(;W[os];B[sp]
(;W[sq];B[ss]C[Ko, actually a 10000 year ko. To kill or live either side needs extra threats. Since White should live unconditionally, this is just wrong.])
(;W[pr];B[ss]C[Ko])
(;W[ss];B[sq])
(;W[ps];B[ss]C[Ko]))
(;W[sq];B[ss]
(;W[os]C[10000 year ko. But White could have lived without ko so this is just wrong.])
(;W[pr];B[rs])
(;W[ps];B[rs]))
(;W[ss];B[sq]))
(;W[ps];B[qs]
(;W[pr];B[rs])
(;W[rs];B[ss]C[Ko])
(;W[sq];B[rs]))
(;W[pr];B[rs]
(;W[os];B[qs])
(;W[qs];B[ps];W[os];B[qs]))
(;W[sq];B[rs]
(;W[ps];B[qs])
(;W[qs];B[ps]
(;W[pr];B[qs])
(;W[os];B[ns]
(;W[pr];B[qs])
(;W[ss];B[pp]))
(;W[ss];B[os];W[pr];B[ns];W[qs];B[rr])))
(;W[ss];B[qs])
(;W[os];B[rs]
(;W[ps];B[qs])
(;W[qs];B[ps]
(;W[pr])
(;W[sq]))))
(;B[rs];W[qr]C[Black lets White live easily with points.RIGHT]))
(;W[sq];B[qr]
(;W[os];B[rs]
(;W[sr];B[ps];W[pr];B[qs])
(;W[ps];B[qs])
(;W[qs];B[ns]
(;W[pr];B[pp];W[sr];B[ps]C[Ko])
(;W[ps];B[sr])
(;W[sr];B[ps]
(;W[pr];B[qs])
(;W[ss];B[pp]))
(;W[ss];B[ps]
(;W[pr];B[qs])
(;W[sr];B[pp])))
(;W[ss];B[qs])
(;W[pr];B[qs]))
(;W[sr];B[rs]
(;W[ps];B[qs])
(;W[qs];B[ps]
(;W[pr];B[qs])
(;W[os];B[ns]
(;W[pr];B[qs])
(;W[ss];B[pp]))
(;W[ss];B[os];W[pr])))
(;W[qs]
(;B[rs]
(;W[ps];B[sr])
(;W[pr];B[os])
(;W[os];B[ns]
(;W[pr];B[pp];W[sr];B[ps]C[Ko])
(;W[ps];B[sr])
(;W[sr];B[ps])
(;W[ss];B[ps]
(;W[pr];B[qs])
(;W[sr]))))
(;B[os]
(;W[ss];B[ps]
(;W[pr];B[rs];W[sr];B[ns];W[qs];B[rr])
(;W[sr];B[pr])
(;W[rs];B[sr]))
(;W[rs];B[ps])
(;W[ps];B[ns]
(;W[rs];B[sr])
(;W[sr];B[rs]))
(;W[pr];B[rs])
(;W[sr];B[rs])))
(;W[ps];B[rs]
(;W[qs];B[sr])
(;W[sr];B[qs]))
(;W[rs];B[qs]
(;W[sr];B[ss]
(;W[os]C[10000 year ko. But White could have lived without ko so this is just wrong.])
(;W[pr];B[rs])
(;W[ps];B[rs]))
(;W[ps];B[ss]
(;W[sr];B[rs])
(;W[pr];B[rs]))
(;W[os];B[ss];W[sr]C[10000 year ko. But White could have lived without ko so this is just wrong.]))
(;W[ss];B[os])
(;W[pr];B[os]))
(;W[qr];B[sq])
(;W[rs];B[sq]
(;W[sr];B[ss]C[Ko])
(;W[qr];B[sr])
(;W[ss];B[qr])
(;W[os];B[sr])
(;W[ps];B[sr])
(;W[qs];B[sr]))
(;W[sp];B[so]
(;W[sr];B[sq]C[Ko])
(;W[sq];B[qr]
(;W[ps];B[rs]
(;W[qs];B[sr])
(;W[sr];B[qs]))
(;W[sr];B[rs]
(;W[qs];B[ps])
(;W[ps];B[qs])
(;W[os];B[ps])
(;W[ro];B[qo])
(;W[rn];B[ro])
(;W[qo];B[ro]))
(;W[qs];B[rs]
(;W[ps];B[sr])
(;W[sr];B[ps])
(;W[os];B[ps];W[pr];B[pp];W[qs]C[Ko]))
(;W[rs];B[qs]
(;W[sr];B[ss]
(;W[ps];B[rs])
(;W[pr];B[rs]))
(;W[ps];B[ss]
(;W[pr];B[rs])
(;W[sr];B[rs]))
(;W[pr];B[ss]))
(;W[os];B[qs]))
(;W[qr];B[sq]))
(;W[qs];B[sq])
(;W[ss];B[sq])
(;W[ps];B[sq])
(;W[os];B[sq])
(;W[ns];B[ms];W[os];B[sq];W[mr];B[kr]
(;W[ks]
(;B[mq]
(;W[lr];B[lq];W[ls];B[js];W[ms];B[jq])
(;W[ls];B[jr];W[js];B[hr]))
(;B[js]
(;W[lr];B[kq])
(;W[ls];B[jq]
(;W[lq];B[kp])
(;W[mq];B[lp])
(;W[lr];B[lq])
(;W[mp];B[mq])
(;W[lp];B[mq]))
(;W[mq];B[ls])
(;W[lq];B[ls])
(;W[kq];B[lr]
(;W[mq];B[ls])
(;W[ls];B[mq];W[ms];B[jq])
(;W[lq];B[mq])
(;W[jr];B[mq]))))
(;W[ls];B[kq])
(;W[lr];B[kq])
(;W[lq];B[ls])
(;W[mq];B[ls])
(;W[kq];B[lr]
(;W[mq];B[ls])
(;W[ls];B[lq])
(;W[lq];B[mq]))
(;W[qr];B[ls];W[sr];B[ss];W[qs];B[sr])
(;W[sr];B[ss]))
(;W[pp];B[po]
(;W[sr];B[qr]
(;W[qs];B[ps]
(;W[rs];B[ss]
(;W[rs];B[os])
(;W[sq];B[os])
(;W[pr];B[sq])
(;W[os];B[sq]))
(;W[pr];B[rs])
(;W[os];B[rs]
(;W[pr];B[qs])
(;W[sq];B[ns]
(;W[pr];B[qs])
(;W[ss];B[sp])
(;W[sp];B[ro])))
(;W[sq];B[os]))
(;W[rs];B[qs]
(;W[ps];B[ss]C[Ko])
(;W[os];B[sp]
(;W[sq];B[ns]C[10000 year ko.])
(;W[ps];B[ss]C[Ko])
(;W[pr];B[ss]C[Ko]))
(;W[sq];B[sp]
(;W[ps];B[ss]C[Ko])
(;W[ss];B[os]
(;W[ps];B[pr])
(;W[pr];B[ps])
(;W[ns];B[pr]))
(;W[pr];B[ss]C[Ko])
(;W[os];B[ns]C[10000 year ko.]))
(;W[pr];B[ss]C[Ko]))
(;W[os];B[rs])
(;W[pr];B[rs])
(;W[ps];B[qs]
(;W[pr];B[rs])
(;W[rs];B[ss]C[Ko]))
(;W[sq];B[rs]))
(;W[sq];B[qr]
(;W[os];B[rs]
(;W[ps];B[sr])
(;W[sr];B[ps]
(;W[pr];B[qs])
(;W[ss];B[sp]))
(;W[pr];B[qs])
(;W[qs];B[ps];W[pr];B[qs]))
(;W[ps];B[rs]
(;W[sr];B[qs])
(;W[qs];B[sr]))
(;W[rs];B[qs]
(;W[sr];B[sp]
(;W[ps];B[ss]C[Ko])
(;W[ss];B[os]
(;W[ps];B[pr])
(;W[pr];B[ps])
(;W[ns];B[pr]))
(;W[pr];B[ss]C[Ko])
(;W[os]))
(;W[ps];B[ss])
(;W[os];B[ss])
(;W[pr];B[ss]))
(;W[qs];B[rs]
(;W[ps];B[sr])
(;W[sr];B[ps])))))