This problem had a wrong solution, but it was too complex to put that right with a few comments. So, here a fresh try.
(;AB[bq]AB[dq]AB[eq]AB[dr]AB[fr]AB[gr]AB[hr]AB[ir]AB[jq]AB[kq]AB[kp]AB[ko]AB[ip]AB[mq]AB[mp]AB[np]AB[ln]AB[mn]AB[po]AB[qo]AB[ro]AB[ml]AB[ll]AB[lk]AB[kk]AB[jj]AB[ij]AB[hj]AB[fj]AB[el]AB[cl]AW[fq]AW[gq]AW[hq]AW[iq]AW[jp]AW[jo]AW[km]AW[kn]AW[kl]AW[jl]AW[jk]AW[ik]AW[gl]AW[fm]AW[en]AW[eo]AW[ep]AW[cn]AW[jr]AW[kr]AW[lr]AW[mr]AW[nq]AW[oq]AW[pq]AW[qp]AW[rp]AW[kj]AW[lj]AW[mj]AW[mk]AW[nl]AW[nm]AW[pm]AW[rm]AB[jm]TR[ji]AW[ji]C[I took the liberty (sic) of adding the marked stone to the problem in order to reduce variations. For the rest it is the same as Gelyas original problem.]AP[goproblems]
(;B[jn];W[io]
(;B[im]
(;W[in]
(;B[hm]
(;W[hn]
(;B[gn];W[hp]
(;B[go];W[fp]
(;B[gm];W[hk]
(;B[fl];W[gj]
(;B[gi];W[gk]
(;B[hi];W[ho]
(;B[fk];W[fn]
(;B[lm];W[fo]
(;B[hl]C[RIGHT])
(;B[il]C[RIGHT]))
(;B[hl]C[RIGHT])
(;B[il]C[RIGHT]))
(;B[lm];W[fn]
(;B[fk];W[fo]
(;B[hl]C[RIGHT])
(;B[il]C[RIGHT]))
(;B[hl]C[RIGHT])
(;B[il]C[RIGHT]))
(;B[hl]C[RIGHT])
(;B[il]C[RIGHT])
(;B[em];W[fn]MA[fo]MA[gp]MA[fk]MA[lm]C[This creates a temporary seki; if Black defends the cut at P5 then White will create a second eye at the left, causing Black to die at the right anyway.]MA[oo]MA[cp])
(;B[fn];W[em]C[This creates a temporary seki; if Black defends the cut at P5 then White will create a second eye at the left, causing Black to die at the right anyway.]MA[fo]MA[gp]MA[lm]MA[fk]MA[oo]MA[cp]))
(;B[fk];W[hi])
(;B[hh]C[This works too, although White may be able to create complications which would allow the left part to live. That's way too complex for this problem though.RIGHT])
(;B[fi];W[hi])
(;B[gh];W[hi])
(;B[ii];W[ih];B[hi];W[fi]
(;B[ei];W[fh]
(;B[jh];W[hh];B[ki];W[gh];B[ji];W[ej];B[fk]
(;W[dk];B[dj];W[dl];B[ek];W[em];B[ej];W[cj];B[ck];W[dm];B[ci];W[bj];B[eh])
(;W[di]C[Even if Black does kill the group, giving away this much outside strength is unforgivable.]TR[gl]TR[gk]TR[gj]TR[hk]TR[ik]TR[jk]TR[jl]TR[kl]TR[km]TR[kn]))
(;B[hh];W[hg])
(;B[gh];W[gg])
(;B[fk];W[gh])
(;B[ki];W[jh]))
(;B[fh];W[ei]
(;B[gh];W[fk];B[ej];W[ek])
(;B[ej];W[gh])
(;B[gg];W[fk])
(;B[fk];W[gh])
(;B[eh];W[gh]))
(;B[gh];W[fk];B[ej];W[ek];B[dk];W[dj];B[ei];W[fh];B[gg];W[di];B[eh];W[fg];B[ff];W[eg];B[dh];W[gf];B[hf]
(;W[ef];B[ch];W[fe])
(;W[ge];B[hg];W[ch];B[dg];W[ef];B[df];W[fe]))
(;B[fk];W[gh])
(;B[hh];W[hg];B[gh];W[fh]))
(;B[lm];W[hi])
(;B[ho];W[ip];B[hi];W[fn];B[fk];W[fo];B[lm];W[gp]C[Temporary seki. Black cannot live at the right, nor can White on the left. But White has a good chance to beat Black by liberties, Black should avoid this.]))
(;B[ho];W[ip];B[gi];W[gk];B[hi];W[fn];B[fk];W[fo];B[lm];W[gp]C[Temporary seki, both White's left side and Black's right side cannot live on their own. Black should steer away from this kind of complexity.])
(;B[fk];W[gk])
(;B[em]
(;W[fn];B[gi])
(;W[hi]))
(;B[fn];W[hi])
(;B[hl];W[gk])
(;B[gk];W[fk])
(;B[hi];W[gi])
(;B[lm];W[hi]))
(;B[gk];W[fk];B[gj];W[fl];B[hl];W[ek]C[You managed to capture some stones, but letting the left part escape is unnecessary])
(;B[fk];W[fl])
(;B[hl];W[gk];B[fl];W[gj])
(;B[gj];W[fl])
(;B[ho];W[gj];B[gi];W[gk];B[hi];W[fl];B[ip];W[ek];B[fk];W[ej];B[fi];W[dl]C[White gest ample compensation for the lost stones.])
(;B[em];W[fl];B[fn];W[gj];B[gi];W[gk];B[hi];W[ek]
(;B[fk];W[fi];B[ej];W[dk]
(;B[ck];W[dj];B[ei]
(;W[dl];B[dm];W[cm])
(;W[fh]))
(;B[dj];W[ck]
(;B[dl];W[cj])
(;B[bk];W[cj])
(;B[cj];W[bk]))
(;B[dl];W[fh]
(;B[lm];W[dj])
(;B[ih];W[dj])
(;B[dj];W[hh])
(;B[ei];W[hh])
(;B[gh];W[dj]))
(;B[fh];W[dl]))
(;B[ej];W[dk]
(;B[fk];W[dl])
(;B[ck];W[dj])
(;B[dj];W[ck])
(;B[dl];W[ck]))
(;B[dk];W[ej];B[fi];W[fk];B[di]C[This looks like tesuji, but White gets an extra liberty for free, so...];W[oo];B[op];W[no];B[pp];W[mo];B[lo];W[lq];B[lp];W[pn];B[lm];W[ho];B[dj];W[fo];B[ei];W[gp]C[Temporary seki, Black will die.])))
(;B[hk];W[gm]
(;B[hl];W[ho]C[White lives sacrificing only 6 stones.])
(;B[ho];W[ip]
(;B[hl];W[bl]C[White will have no trouble securing a second eye on the side, like this for example. Capturing those 6 stones was not enough.])
(;B[lm];W[bl]C[White will have no trouble securing a second eye on the side, like this for example. Capturing those 6 stones was not enough.]))
(;B[lm];W[ho]C[White lives. Capturing those 6 stones was not enough.])))
(;B[gm];W[go]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[fl];B[lm]C[Nice catch, but White lives in sente with the lagest part])
(;B[fl];W[hl])
(;B[fn];W[hl])
(;B[gk];W[hl]))
(;B[hk];W[hl]
(;B[go];W[gm])
(;B[gm];W[go])
(;B[lm];W[il]))
(;B[lm];W[hl])
(;B[hl];W[hk]
(;B[gk];W[gm])
(;B[gm];W[gj]
(;B[gi];W[gk];B[hi];W[go])
(;B[go];W[fp]
(;B[fl];W[gk])
(;B[gi];W[gk];B[hi];W[fl])
(;B[fn]
(;W[fl])
(;W[gk])))
(;B[fl];W[gk]))
(;B[fl];W[gm])
(;B[go];W[gm]))
(;B[fl];W[gm]))
(;B[hk];W[hl];B[gn];W[hp]
(;B[go];W[gm])
(;B[gm];W[go])
(;B[lm];W[il]))
(;B[hl];W[hk]))
(;W[hl]
(;B[ho];W[hp];B[hn];W[ip];B[fp]C[RIGHT])
(;B[hp];W[ho];B[gp];W[go];B[fp];W[fo])
(;B[fp];W[ho])
(;B[hn];W[ho]
(;B[fp];W[go])
(;B[go];W[hp])))
(;W[gm];B[ho];W[hp];B[hn];W[ip];B[fp]C[RIGHT])
(;W[gn]
(;B[hk];W[hl];B[il]C[RIGHT])
(;B[hl];W[hk];B[gk]C[RIGHT])
(;B[hn];W[ho];B[go];W[hp]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm]))))
(;B[hk];W[hm])
(;B[hn];W[ho]
(;B[go];W[hp]
(;B[hm]
(;W[hl])
(;W[gn];B[hl];W[hk];B[gk];W[gm]))
(;B[gn];W[hm])
(;B[hk];W[hl])
(;B[hl];W[hm]
(;B[gm];W[il];B[hm];W[hk];B[gn];W[gk]
(;B[fp];W[fn])
(;B[fl];W[gj]
(;B[gi];W[hi])
(;B[fp];W[fn])))
(;B[fp];W[il]))
(;B[gm];W[il])
(;B[lm];W[hm]))
(;B[hl];W[hm];B[gm];W[il];B[hm];W[hk])
(;B[hk];W[hm])
(;B[hm];W[hl]
(;B[fp];W[go])
(;B[go];W[hp]))
(;B[lm];W[hm])
(;B[il];W[hm])
(;B[fp];W[hm]))
(;B[hl];W[hm])
(;B[il];W[hm])
(;B[lm];W[hm])
(;B[ho];W[hn]
(;B[hm];W[gn]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm]))
(;B[fp];W[go]
(;B[hm];W[gn]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm]))
(;B[hl];W[hm])
(;B[hk];W[hl]))
(;B[hk];W[hl])
(;B[hl];W[hm]))
(;B[hp];W[go]
(;B[hm];W[hn]
(;B[hk];W[hl])
(;B[gn];W[ho]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm])
(;B[gm];W[fn])
(;B[fo];W[gp]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm])))
(;B[gm];W[gn])
(;B[hl];W[hk]
(;B[gk];W[gm])
(;B[gm];W[gj])
(;B[gn];W[ho]
(;B[gk];W[gm])
(;B[fo];W[gp];B[gk];W[gm]))))
(;B[gn];W[hm])
(;B[hn];W[ho]
(;B[hl];W[hm];B[gm];W[il];B[hm];W[hk])
(;B[hm];W[hl]))
(;B[hl];W[hm]))
(;B[fp];W[go]))
(;W[hm];B[ho];W[hp];B[in];W[ip];B[fp]C[RIGHT])
(;W[hn]C[White should play like this to save the largest part of the group. Even so, the capture makes Blacks left center stones very strong.]
(;B[hk]C[RIGHT])
(;B[hl]
(;W[hm];B[hk]C[RIGHT])
(;W[hk];B[gk];W[fk];B[gj];W[fl];B[ek];W[hm];B[lm]C[RIGHT]))
(;B[hm];W[gm]
(;B[ho];W[hp];B[go];W[hl])
(;B[hk];W[hl])
(;B[hl];W[hk]))))
(;B[ho];W[in]
(;B[im];W[hn]
(;B[hm];W[gn]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm]))
(;B[gn];W[hm])
(;B[hl];W[hm])
(;B[il];W[hl]))
(;B[fp];W[hp];B[gp];W[ip];B[im];W[hn];B[hm];W[gn];B[hl];W[hk];B[gk];W[gm]))
(;B[hp];W[ho])
(;B[hk];W[im])
(;B[in];W[ho]
(;B[hn];W[gn])
(;B[hk];W[hl])
(;B[fp];W[hn])
(;B[go];W[hn])
(;B[hm];W[hn])
(;B[il];W[hn]))
(;B[hm];W[im])
(;B[hn];W[in]
(;B[im];W[ho]
(;B[hm];W[gn]
(;B[hl];W[hk];B[gk];W[gm])
(;B[hk];W[hl])
(;B[go];W[hp];B[hl];W[hk];B[gk];W[gm]))
(;B[go];W[hp]
(;B[gm];W[il])
(;B[hl];W[hm];B[gm];W[il];B[hm];W[hk];B[gn];W[gk]
(;B[fp];W[fn])
(;B[fl];W[gj]
(;B[gi];W[hi])
(;B[fp];W[fn])))
(;B[hm];W[gn];B[hl];W[hk];B[gk];W[gm])
(;B[hk];W[hm]))
(;B[gm];W[il])
(;B[hk];W[hm])
(;B[lm];W[hm]))
(;B[hp];W[ho];B[im];W[go]
(;B[hl];W[hm];B[gm];W[il];B[hm];W[hk])
(;B[hm];W[hl]))
(;B[ho];W[im]))
(;B[hl];W[im])
(;B[il];W[im])
(;B[lm];W[im])
(;B[fp];W[ho]))
(;B[io];W[jn]
(;B[im];W[in])
(;B[in];W[im]))
(;B[fp];W[io]
(;B[ho];W[hn];B[gp]C[White sacrifices a few stones to live with the rest.])
(;B[hp];W[ho];B[gp]C[A small sacrifice to live with the rest.])
(;B[gp];W[hp];B[ho];W[ip]
(;B[in];W[jn])
(;B[jn];W[in];B[im];W[hn];B[hm];W[gn];B[hl];W[hk];B[gk];W[gm])))
(;B[hk];W[im])
(;B[hl];W[im])
(;B[ho];W[io]
(;B[hp];W[fp]
(;B[jn];W[in];B[im];W[hn]
(;B[hm];W[gn]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm]))
(;B[gn];W[hm])
(;B[hk];W[hl]))
(;B[in];W[jn]
(;B[im];W[hl])
(;B[hk];W[hl]))
(;B[hn];W[jn];B[hl];W[hk];B[gk];W[hm])
(;B[im];W[jn];B[hk];W[hl];B[il];W[hm]))
(;B[fp];W[gp]
(;B[jn];W[in]
(;B[im];W[hn]
(;B[hk];W[hl])
(;B[hm];W[gn]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm])
(;B[go];W[fo]
(;B[gm];W[hp]
(;B[hk];W[hl])
(;B[hl];W[hk]))
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm])))
(;B[hp];W[go];B[hk];W[hl]))
(;B[hn];W[im])
(;B[hp];W[go]
(;B[hn];W[im])
(;B[im];W[hn];B[hk];W[hl]))
(;B[fo];W[go])
(;B[go];W[fo]
(;B[hp];W[fp]
(;B[im];W[hn];B[hm];W[gn];B[hk];W[hl])
(;B[hm];W[im])
(;B[hn];W[im]))
(;B[im];W[hn];B[gn];W[hm])))
(;B[hp];W[go]
(;B[hn];W[jn])
(;B[in];W[hn])
(;B[jn];W[hn]))
(;B[go];W[fo]
(;B[jn];W[in]
(;B[im];W[hn]
(;B[hm];W[gn]
(;B[gm];W[hp]
(;B[hk];W[hl])
(;B[hl];W[hk]))
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm]))
(;B[gn];W[hm]))
(;B[hn];W[im])
(;B[hp];W[fp]
(;B[im];W[hn]
(;B[hm];W[gn]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm]))
(;B[gn];W[hm])
(;B[hk];W[hl])
(;B[hl];W[hm]))
(;B[hn];W[im])
(;B[hk];W[im]))
(;B[hk];W[im]))
(;B[hp];W[fp]
(;B[jn];W[in]
(;B[im];W[hn]
(;B[hm];W[gn]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm]))
(;B[gn];W[hm])
(;B[hk];W[hl])
(;B[hl];W[hm]))
(;B[hn];W[im])
(;B[hk];W[im]))
(;B[hk];W[im])
(;B[hl];W[im]))
(;B[in];W[jn]))
(;B[in];W[jn]))
(;B[jn];W[in]
(;B[im];W[hn]
(;B[hm];W[gn]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm]))
(;B[hl];W[hm])
(;B[gn];W[hm]))
(;B[hn];W[im])
(;B[hp];W[fp]
(;B[hn];W[im])
(;B[im];W[hn]
(;B[hm];W[gn]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm]))
(;B[gn];W[hm]))
(;B[hk];W[im]))
(;B[hk];W[im]))
(;B[hk];W[im])
(;B[in];W[jn])
(;B[gp];W[fp]
(;B[in];W[jn]
(;B[hl];W[hk];B[gk];W[hm])
(;B[hk];W[hl])
(;B[gk];W[hl]))
(;B[jn];W[in];B[im];W[hn];B[hm];W[gn]
(;B[hk];W[hl])
(;B[hl];W[hk];B[gk];W[gm]))
(;B[hn];W[im])
(;B[rh];W[hk])))
(;B[im];W[jn])
(;B[on];W[jn];B[nn];W[op];B[lq];W[oo];B[pn];W[qm];B[no];W[lo]C[Blacks right side group cannot live on its own.])
(;B[in];W[jn]))