(;AB[fq]AB[fp]AW[eq]AW[ep]AB[dq]AB[dr]AB[er]AW[dp]AW[co]AW[cn]AW[cm]AB[bp]AB[cp]AW[bq]AW[cq]AW[cr]AW[bs]AW[ds]AB[fs]AB[gs]AW[eo]AW[en]C[Black to do what he can. Please don't play useless moves.]AB[bo]AB[bn]AW[bm]AB[ar]AP[goproblems] (;B[aq]C[] (;W[as] (;B[ap];W[an];B[es]C[];W[am];B[cs]C[Ko, white must find the first threat.RIGHT]) (;B[es]C[] (;W[an] (;B[cs]C[Ko, white must find the first threat.RIGHT]) (;B[ap];W[am];B[cs]C[Ko, white must find the first threat.RIGHT])) (;W[ap] (;B[ao];W[am];B[cs]C[Ko, White must find the first threat.RIGHT]) (;B[cs];W[br];B[aq];W[ds];B[ao];W[am] (;B[cs]C[Ko, white must find the first threat.RIGHT]) (;B[ar]C[];W[ap];B[aq];W[an])))) (;B[an];W[ap] (;B[ao];W[am]C[White is alive. White may also tenuki and leave a ko threat for black.]) (;B[es];W[am])) (;B[ao];W[am];B[es];W[an]C[White is alive. White may also tenuki and leave a ko threat for black.])) (;W[ap] (;B[ao] (;W[as];B[es];W[am];B[cs]C[Ko, white must find the first threat.RIGHT]) (;W[am]C[If White tries to approach from the top...];B[br];W[cs];B[es]C[Black wins outright. White cannot play like this.RIGHT])) (;B[es];W[an]TR[bn]TR[bo]TR[bp]TR[cp]C[Whtie is alive.])) (;W[an];B[br];W[cs];B[es]C[RIGHT]) (;W[br];B[ap];W[an];B[es];W[am];B[cs]C[RIGHT])) (;B[es];W[ap] (;B[aq];W[an]TR[bn]TR[bo]TR[bp]TR[cp]C[Whtie is alive.]) (;B[cs];W[an]C[White is alive.]TR[bn]TR[bo]TR[bp]TR[cp]) (;B[br];W[cs]C[White is alive, black cannot push.]) (;B[as];W[aq];B[cs];W[br]C[White is alive, black cannot push.]TR[bn]TR[bo]TR[bp]TR[cp]) (;B[an];W[cs] (;B[aq];W[am]C[White is alive.]) (;B[br];W[am]C[White is alive. White may also tenuki and leave a ko threat for black.]))) (;B[ao];W[am]C[];B[aq];W[an];B[ap];W[as]C[White is alive. White may also tenuki and leave a ko threat for black.]) (;B[an];W[am]C[White is alive.]TR[an]TR[bn]TR[bo]TR[bp]TR[cp]) (;B[ap];W[aq];B[br];W[as]C[White is alive.]) (;B[br];W[ap];B[es];W[cs]C[White is alive, black cannot push.]) (;B[as];W[ap]C[White is alive.]TR[bn]TR[bo]TR[bp]TR[cp]))