(;AB[qd]AB[oc]AW[qf]AW[qi]AW[mc]AW[jc]C[This problem is very common in games.Invade!]AP[goproblems] (;W[pc] (;B[pd];W[qc] (;B[ob];W[rd] (;B[re];W[rc];B[qe];W[od]C[he got cut! who will win?];B[nd];W[oe];B[nc] (;W[rf]C[white, of course.RIGHT]) (;W[pe];B[rf];W[qg];B[rg];W[rh];B[pf] (;W[of];B[pg];W[qh];B[og];W[nf];B[ng];W[mf]C[You escaped.Correct!RIGHT]) (;W[pg];B[of];W[ne];B[me];W[nf];B[og];W[oh];B[ng];W[mf];B[lf];W[mg];B[nh];W[ni];B[mh]AB[mi]AW[mj]AW[lg]AB[kg]AW[lh]AB[li]AW[kh]AB[jh]AB[lj]AW[lk]AW[ki]AB[kj];W[ji];B[ii];W[jj];B[kk];W[kl];B[jk];W[ij];B[hj];W[ik];B[jl];W[jm];B[il];W[hk];B[gk];W[hl];B[im];W[in];B[hm];W[gl];B[fl];W[gm];B[hn];W[ho];B[gn];W[fm];B[em];W[fn];B[go];W[gp];B[fo];W[en];B[dn];W[eo];B[fp];W[fq];B[ep];W[do];B[co];W[dp];B[eq];W[er];B[dq];W[cp];B[bp];W[cq];B[dr] (;W[cr];B[ds];W[cs]C[Yay!RIGHT]) (;W[ds];B[cr];W[bq];B[br];W[aq];B[ar]C[Whoops.])))) (;B[rc];W[rb];B[qb];W[sc];B[pb];W[rc];B[oe];W[nd];B[od]C[even if black does this, the group is almost dead.RIGHT])) (;B[od];W[rd];B[re];W[rc];B[qe];W[ob];B[nb] (;W[pb];B[nc]C[RIGHT]) (;W[pa];B[nc]C[white is in a very bad shape. good job!RIGHT]))) (;B[od] (;W[qc];B[pd];W[rd];B[re];W[rc];B[qe];W[ob];B[nb];W[pb];B[nc]C[RIGHT]) (;W[pd];B[qc];W[pb];B[pe];W[ob]C[two cuts, correct.RIGHT] (;B[qe];W[oe]C[RIGHT]) (;B[oe];W[qe]C[this is worse than the one above.RIGHT])))) (;W[qc];B[pd] (;W[pb];B[ob];W[rb];B[rd];W[qa];B[rc]C[You can't live!]) (;W[rc];B[rd];W[ob];B[pb];W[pc];B[nb];W[od];B[nc];W[pe];B[qb];W[rb];B[ra];W[sb];B[sd])) (;W[rc];B[qc];W[rd];B[rb];W[re];B[oe]C[sorry, you can take the whole corner.]) (;W[pd];B[pc]C[sorry, you can take the whole corner.]) (;W[oe];B[od]C[sorry, you can do better.]))