(;AB[jr]AB[kr]AB[iq]AB[ip]AB[io]AB[jn]AB[im]AB[ik]AB[ij]AB[il]AB[ji]AB[ki]AB[li]AB[mh]AB[ng]AB[lg]AB[mg]AB[of]AB[pf]AB[od]AB[qd]AB[qc]AB[rc]AW[rd]AW[re]AW[qf]AW[qg]AW[pg]AW[og]AW[nh]AW[oi]AW[mi]AW[ni]AW[mj]AW[lj]AW[kj]AW[jj]AW[jk]AW[jl]AW[km]AW[jm]AW[kn]AW[ko]AW[lp]AW[kq]AW[mo]AW[mm]AB[lm]AB[ll]AB[ml]AB[lq]AB[mq]AB[mp]AB[np]AB[op]AB[pp]AB[qo]AB[ro]AB[qp]AB[ql]AB[rh]AB[pi]AB[pj]AB[oj]AB[nj]AW[ks]AW[lr]AW[mr]AW[nr]AW[nq]AW[oq]AW[pq]AW[qq]AW[rq]AW[rp]C[White just exchanged 1 and 2. Now can white live ? Try to read it out and choose 'Yes' or 'No'FORCE]LB[qc:2]LB[rd:1]LB[ke:Yes]LB[me:No]AB[rj]AP[goproblems]
(;W[ke];B[me]C[then prove it...]
(;W[ln];B[nm]
(;W[mn];B[rg]
(;W[nl];B[nk]
(;W[ol];B[om]
(;W[mk];B[pl]
(;W[kl];B[ok]
(;W[lk]C[RIGHT])
(;W[nl];B[ol];W[lk]C[RIGHT]))
(;W[lk];B[ok]
(;W[kl]C[RIGHT])
(;W[nl];B[ol];W[kl]C[RIGHT])))
(;W[lk];B[mk];W[kl]C[RIGHT])
(;W[kl];B[mk];W[lk]C[RIGHT])
(;W[pl];B[mk]C[Q8 is a greedy move. For me the white dragon can't live here, show me if you think i'm wrong.]))
(;W[lk];B[kl];W[ol];B[mk];W[on]C[RIGHT])
(;W[kl];B[ol];W[lk]C[RIGHT])
(;W[mk];B[ol]))
(;W[lk];B[kl];W[nl];B[nk];W[ol];B[mk];W[on]C[RIGHT])
(;W[kl];B[lk];W[nl];B[nk];W[ol];B[mk];W[on]C[RIGHT])
(;W[nk];B[nl]))
(;W[nn];B[mn]C[ko])
(;W[rg];B[mn]C[white can only have one eye]))
(;W[nm];B[ln]C[CHOICE];W[lo];B[nl]C[CHOICE])
(;W[rg];B[ln]C[M6 was the key move]
(;W[sf];B[sd])
(;W[sd];B[sf]))
(;W[nl];B[ln]))
(;W[me];B[ke]C[See correct variation]))