(;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])))))