(;AW[qr]AW[qq]AW[pp]AW[qo]AW[oo]AW[no]AW[mp]AW[lp]AW[lq]AW[kq]AW[kr]AW[js]AW[is]AW[hs]AB[gs]AB[hr]AB[gq]AB[jr]AB[jq]AB[jp]AB[jo]AB[lr]AB[mr]AB[mq]AB[nq]AB[np]AB[op]AB[pq]AB[pr]C[White to Kill.]AP[goproblems]
(;W[or];B[os]
(;W[ns]
(;B[ps]
(;W[nr]
(;B[oq]C[Woho! Did Black make a mistake here? If you think Black is still dead after this move play tenuki at T (N5)...]LB[mo:T]
(;W[ks];B[ms];W[nr]C[Well doneRIGHT])
(;W[ms];B[ls]TR[nr]TR[ns]C[black lives, miai for life at marks])
(;W[ls];B[ms];W[nr];B[ks]C[Ko for life, good for black, you can do better])
(;W[qs];B[ms]
(;W[ls];B[nr])
(;W[ks];B[nr])
(;W[nr];B[ks]))
(;W[mo];B[ks]
(;W[ls];B[ms]
(;W[nr];B[ks]C[Black plays a 'thank you' ko...])
(;W[ks];B[nr]))
(;W[ms];B[ls])))
(;B[ms];W[ks]C[One eye.RIGHT]TR[ns]TR[nr]TR[or]))
(;W[ks];B[nr]
(;W[ls];B[ms]C[black lives])
(;W[ms];B[ls]C[black lives])
(;W[qs];B[oq]
(;W[ls];B[ms]C[black lives])
(;W[ms];B[ls]C[black lives])))
(;W[ls];B[nr]
(;W[ms];B[ks]
(;W[ls];B[ms]C[black lives, go proverb: capture three and live])
(;W[ms];B[ls]C[black lives, go proverb: capture three and live])
(;W[ns];B[ms]C[black lives, go proverb: capture three and live]))
(;W[ks];B[ms]C[black lives])
(;W[qs];B[oq]
(;W[ks];B[ms]C[black lives])
(;W[ms];B[ks]
(;W[ls];B[ms]C[black lives, go proverb: capture three and live])
(;W[ms];B[ls]C[black lives, go proverb: capture three and live])
(;W[ns];B[ir]C[black lives, go proverb: capture three and live]))))
(;W[ms];B[ls]
(;W[ks];B[nr]C[black lives])
(;W[nr];B[oq]C[black lives, miai for life at marks]TR[nr]TR[ns])
(;W[oq];B[nr]C[black lives])
(;W[qs];B[nr]C[black lives]))
(;W[oq];B[nr]TR[ls]TR[ms]C[black lives, miai for life at marks])
(;W[qs];B[oq]
(;W[ks];B[nr]
(;W[ls];B[ms]C[black lives])
(;W[ms];B[ls]C[black lives]))
(;W[ls];B[nr]
(;W[ms];B[ks]
(;W[ls];B[ms]C[black lives])
(;W[ms];B[ir]C[black lives])
(;W[ns];B[ir]C[black lives]))
(;W[ks];B[ms]C[black lives]))
(;W[ms];B[ls];W[ks];B[nr]C[black lives])
(;W[nr];B[ks]
(;W[ls];B[ms]
(;W[ks];B[nr]C[black lives])
(;W[nr];B[ks]C[ko, good for black, you can do better]))
(;W[ms];B[ls]C[black live]))))
(;B[ks]C[Black can capture the stones on the left like this, at most.];W[ls];B[ms]
(;W[ps];B[ks]C[]
(;W[oq];B[ir]
(;W[nr]C[RIGHT])
(;W[js];B[is];W[nr]C[RIGHT]))
(;W[nr];B[ir]
(;W[oq]C[RIGHT])
(;W[js];B[is];W[oq]C[RIGHT])))
(;W[ks];B[nr]))
(;B[ms]C[Black can capture the stones on the left like this, at most.]
(;W[ps];B[ks]
(;W[ls];B[hp]C[Assume H4 is a ko threat worth just less than this group. Answer that threat at A (H5) if you think Black is dead anyway.]LB[ho:A]MA[ms]MA[mr]MA[lr]MA[mq]MA[nq]MA[np]MA[op]MA[pq]MA[pr]
(;W[ho];B[ks]
(;W[oq];B[ir]
(;W[nr]C[RIGHT])
(;W[js];B[is];W[nr]C[RIGHT]))
(;W[nr];B[ir]
(;W[oq]C[RIGHT])
(;W[js];B[is];W[oq]C[RIGHT])))
(;W[ks]C[Black got a free move!])
(;W[oq]C[Black got a free move an can still fight a ko for the 3 stones on the left to boot.])
(;W[nr]C[Black got a free move an can still fight a ko for the 3 stones on the left to boot.]))
(;W[oq];B[ir]
(;W[nr]C[RIGHT])
(;W[js];B[is];W[nr]C[RIGHT]))
(;W[nr];B[ir]
(;W[oq]C[RIGHT])
(;W[js];B[is];W[oq]C[RIGHT])))
(;W[ks];B[nr])
(;W[nr];B[oq];W[nr];B[ks]C[Ko])))
(;W[nr];B[ls]
(;W[ks];B[ns]C[Black lives])
(;W[ms];B[ns]C[black lives])
(;W[ns];B[ks]TR[ir]C[black lives])
(;W[oq];B[ns]C[black lives]))
(;W[ks];B[nr]C[black lives, miai at marks]TR[ls]TR[ms])
(;W[ls];B[ms]
(;W[ks];B[nr]C[black lives])
(;W[ns];B[ks]C[good ko for black, you can do better])
(;W[nr];B[ks]C[good ko for black, you can do better])
(;W[oq];B[ks]C[good ko for black, you can do better]))
(;W[ms];B[ls]
(;W[ks];B[ns]C[black lives])
(;W[ns];B[nr]C[black lives])
(;W[nr];B[ns]C[black lives])
(;W[oq];B[nr]C[black lives]))
(;W[oq];B[nr]C[black lives, miai for life at marks]TR[ls]TR[ms])
(;W[qs];B[nr]
(;W[ks];B[ls]
(;W[ps];B[oq]C[black lives])
(;W[ms];B[ps]C[black lives])
(;W[ns];B[ms];W[ps];B[oq]C[black lives]))
(;W[ls];B[ms]C[black lives])
(;W[ms];B[ls]C[black lives])
(;W[ns];B[ms]C[black lives])
(;W[ps];B[oq]TR[ls]TR[ms]C[black lives miai for life at marks]))
(;W[ps];B[qs]C[no!]))
(;W[oq];B[or]C[nope])
(;W[ks];B[or]C[black lives])
(;W[ls];B[or]
(;W[ms];B[ns]
(;W[ks];B[ps]C[black lives])
(;W[ps];B[os]C[black lives])
(;W[os];B[ps]C[black lives]))
(;W[ks];B[ns]
(;W[ms];B[ps]C[black lives])
(;W[os];B[ps]C[black lives])
(;W[ps];B[os]C[black lives]))
(;W[ns];B[ms]
(;W[ks];B[os]C[black lives])
(;W[nr];B[os]C[black lives])
(;W[os];B[nr]
(;W[ks];B[ps]C[black lives])
(;W[ps];B[qs]
(;W[ks];B[ps]C[black lives])
(;W[rs];B[ps]C[black lives])
(;W[ps];B[os]C[black lives])
(;W[os];B[ps]C[black lives])
(;W[ns];B[os]C[black lives])))
(;W[ps];B[os]C[black lives])
(;W[qs];B[ps]C[black lives]))
(;W[os];B[ns]
(;W[ks];B[ms]C[black lives])
(;W[ms];B[ps]C[black lives])
(;W[ps];B[ms]C[black lives])
(;W[qs];B[ps]C[black lives]))
(;W[ps];B[ns]TR[ms]TR[os]C[black lives, miai for life at marks])
(;W[qs];B[ns]C[black lives])
(;W[nr];B[ns]C[black lives]))
(;W[ms];B[or]
(;W[ks];B[ls]
(;W[ns];B[os]C[black lives])
(;W[nr];B[ns]C[black lives])
(;W[os];B[ns]C[black lives])
(;W[ps];B[ns]C[black lives]))
(;W[ls];B[ns]
(;W[ks];B[ps]C[black lives])
(;W[os];B[ps]C[black lives])
(;W[ps];B[os]C[black lives])
(;W[qs];B[ps]C[black lives]))
(;W[ns];B[ls]
(;W[nr];B[os]C[black lives])
(;W[os];B[ps]C[black lives])
(;W[ps];B[os]C[black lives])
(;W[qs];B[ps]C[black lives]))
(;W[nr];B[ns]C[black lives])
(;W[os];B[ls]
(;W[ks];B[ns]C[black lives])
(;W[ns];B[ps]C[black lives])
(;W[nr];B[ns]C[black lives])
(;W[ps];B[ns]C[black lives])
(;W[qs];B[ps]C[black lives]))
(;W[ps];B[ns]C[black lives]))
(;W[nr];B[or]
(;W[ks];B[ns]C[black lives])
(;W[ls];B[ns]C[black lives])
(;W[ms];B[ns]C[black lives])
(;W[ns];B[ms]
(;W[ks];B[os]C[black lives])
(;W[ls];B[os]C[black lives])
(;W[os];B[ps]C[black lives])
(;W[ps];B[os]C[black lives])
(;W[qs];B[os]C[black lives]))
(;W[os];B[ns]C[black lives])
(;W[ps];B[ns]C[black lives]))
(;W[ns];B[or]
(;W[ks];B[ls]
(;W[ms];B[os]C[black lives])
(;W[nr];B[os]C[black lives])
(;W[os];B[ps]C[black lives])
(;W[ps];B[os]C[black lives])
(;W[qs];B[ps]C[black lives]))
(;W[ls];B[ms]
(;W[ks];B[os]C[black lives])
(;W[nr];B[os]C[black lives])
(;W[os];B[ps]C[black lives])
(;W[ps];B[os]C[black lives])
(;W[qs];B[ps]C[black lives]))
(;W[ms];B[ls]
(;W[ks];B[os]C[black lives])
(;W[nr];B[os]C[black lives])
(;W[os];B[ps]C[black lives])
(;W[ps];B[os]C[black lives])
(;W[qs];B[ps]C[black lives]))
(;W[nr];B[ls]
(;W[ks];B[os]C[black lives])
(;W[ms];B[os]C[black lives])
(;W[os];B[ms]
(;W[ks];B[ps]C[black lives])
(;W[ps];B[qs]C[black lives])
(;W[qs];B[ps]C[black lives]))
(;W[ps];B[ms]
(;W[ks];B[os]C[black lives])
(;W[os];B[qs]C[black lives])
(;W[qs];B[os]C[black lives]))
(;W[qs];B[ps]C[black lives]))
(;W[os];B[ps]
(;W[ks];B[ls]C[black lives])
(;W[ls];B[ms]C[black lives])
(;W[nr];B[ms]C[black lives])
(;W[ms];B[ls]C[black lives])
(;W[qs];B[ms]C[black lives]))
(;W[ps];B[os]
(;W[ks];B[ms]C[black lives])
(;W[ls];B[ms]C[black lives])
(;W[ms];B[ls]C[black lives])
(;W[nr];B[ms]C[black lives])
(;W[qs];B[ms]C[black lives]))
(;W[qs];B[ps]
(;W[ks];B[ls]C[black lives])
(;W[ls];B[ms]C[black lives])
(;W[ms];B[ls]C[black lives])
(;W[nr];B[ms]C[black lives])
(;W[os];B[ms]C[black lives])))
(;W[os];B[or]
(;W[ks];B[ns]C[black lives])
(;W[ls];B[ns]C[black lives]
(;W[ks];B[ms]C[black lives])
(;W[ms];B[ps]C[black lives])
(;W[ps];B[ms]C[black lives])
(;W[qs];B[ps]C[black lives]))
(;W[ms];B[ls]
(;W[ks];B[ns]C[black lives])
(;W[ns];B[ps]C[black lives])
(;W[nr];B[ns]C[black lives])
(;W[ps];B[ns]C[black lives])
(;W[qs];B[ps]C[black lives]))
(;W[nr];B[ns]C[black lives])
(;W[ns];B[ps]
(;W[ks];B[ls]C[black lives])
(;W[ls];B[ms]C[black lives])
(;W[ms];B[ls]C[black lives])
(;W[nr];B[ms]C[black lives])
(;W[qs];B[ms]C[black lives]))
(;W[ps];B[ns]C[black lives]))
(;W[ps];B[or]
(;W[ks];B[ns]C[black lives])
(;W[ls];B[ns]C[black lives])
(;W[ms];B[ns]C[black lives])
(;W[ns];B[os]
(;W[ks];B[ls]C[black lives])
(;W[ls];B[ms]C[black lives])
(;W[ms];B[ls]C[black lives])
(;W[nr];B[ms]C[black lives]))
(;W[nr];B[ns]C[black lives])
(;W[os];B[ns]C[black lives])))