(;AB[rj]AB[qj]AB[pj]AB[ok]AB[ol]AB[om]AB[on]AB[oo]AB[op]AB[pn]AB[qn]AB[ql]AW[qk]AW[pk]AW[pl]AW[pm]AW[qm]AW[po]AW[pp]AW[qq]AW[rq]AW[rr]AW[qs]AW[ps]AW[oq]AW[or]C[Save 5 white stones]AB[rh]AP[goproblems]
(;W[rn]
(;B[ro]C[CHOICE]
(;W[rm];B[qo]
(;W[sn];B[so]
(;W[sl]C[CorrectCHOICERIGHT])
(;W[rl];B[sl]
(;W[sk];B[rk])
(;W[rk];B[sk]))
(;W[rk];B[sl]
(;W[rl];B[sk])
(;W[sk];B[rl];W[sm];B[rl])
(;W[sm];B[sk]))
(;W[sk];B[rk]
(;W[rl];B[sl])
(;W[sl];B[rl]))
(;W[sm];B[rk];W[rl]))
(;W[so]
(;B[sp]
(;W[sn];B[rp]
(;W[sl]C[CorrectCHOICERIGHT])
(;W[rl];B[sl]
(;W[rk];B[sk])
(;W[sk];B[rk]))
(;W[rk];B[sl]
(;W[rl];B[sk])
(;W[sk];B[rl];W[sm];B[rl]))
(;W[sm];B[rk];W[rl])
(;W[sk];B[rk]
(;W[rl];B[sl])
(;W[sl];B[rl])))
(;W[rp];B[sn]))
(;B[sn];W[sp]C[RIGHT]))
(;W[rl]
(;B[sn];W[sm];B[so]
(;W[rk];B[sk])
(;W[sk];B[rk]))
(;B[so];W[sn];B[sl]
(;W[rk];B[sk])
(;W[sk];B[rk])))
(;W[sl];B[sn]C[white dies])
(;W[sm]
(;B[so]C[black don't like ko. White dies])
(;B[ni]C[Black tenuki];W[so];B[sp];W[rp];B[sn]C[White can live without ko]))
(;W[rk];B[so]
(;W[sl];B[sn])
(;W[rl];B[sn]
(;W[sm];B[sk])
(;W[sk];B[sm]))))
(;W[rl];B[sn]
(;W[sm];B[rm]C[White can live without ko])
(;W[rk];B[rm])
(;W[rm];B[qo]
(;W[sm];B[so]
(;W[sk];B[rk])
(;W[rk];B[sk]))
(;W[rk];B[so]
(;W[sm];B[sk])
(;W[sk];B[sm]))))
(;W[so];B[rm]
(;W[rl];B[sn])
(;W[sm];B[rk])
(;W[rk];B[sn])
(;W[sn];B[rk]))
(;W[sm];B[rl]
(;W[rm];B[qo];W[so];B[sp];W[rp];B[sn]C[White can live without ko])
(;W[so];B[rm])
(;W[rk];B[qo];W[so];B[sp];W[rp];B[sn]C[White can live without ko])
(;W[qo];B[rm])
(;W[sn];B[rm];W[rk];B[sk])
(;W[sl];B[rk];W[rm];B[sk])
(;W[sk];B[rk];W[rm];B[sl]))
(;W[sn];B[rl]C[CHOICE]
(;W[rm];B[rk]
(;W[so];B[sp];W[rp];B[sm])
(;W[sl];B[so])
(;W[sm];B[so]))
(;W[rk];B[rm]
(;W[sl];B[sk])
(;W[sm];B[sk])
(;W[sk];B[sj]
(;W[sm];B[sl])
(;W[sl];B[sm])))
(;W[sl];B[rm]
(;W[rk];B[sk])
(;W[sm];B[rk]))
(;W[sm];B[rm]C[White dies];W[rk];B[sk])
(;W[sk];B[rm];W[rk];B[sj]
(;W[sm];B[sl])
(;W[sl];B[sm]))
(;W[so];B[rm]))
(;W[sl];B[rm];W[rl];B[sn])
(;W[rk];B[rm]
(;W[rl];B[sn])
(;W[sn];B[so]
(;W[rl];B[sm])
(;W[sm];B[sl])
(;W[sl];B[sm]))
(;W[sm];B[sn];W[rl];B[sl]))
(;W[sk];B[rm];W[rl];B[sn])
(;W[rp];B[rm]
(;W[rl];B[sn])
(;W[sn];B[rk])))
(;B[rl]
(;W[rm];B[ro]
(;W[rp];B[so];W[qo];B[rk]
(;W[sp];B[sm];W[sn]C[RIGHT])
(;W[sn];B[sm])
(;W[sm];B[sl];W[sp];B[sn]))
(;W[so];B[sp]
(;W[sn]
(;B[rp]C[CHOICE]
(;W[rk];B[sl];W[sk];B[sj];W[sm];B[rl];W[qo];B[ql]
(;W[sl];B[ql];W[rl];B[ql])
(;W[qp];B[sl]))
(;W[sl];B[rk]
(;W[qo];B[sm])
(;W[sm];B[sk]))
(;W[sm];B[rk];W[qo];B[sl]))
(;B[qo]))
(;W[qo];B[sn];W[rk]C[Black can't kill now.RIGHT])
(;W[rp];B[sn]
(;W[qo];B[sm]
(;W[so]C[White can live without ko])
(;W[sq];B[rk]))
(;W[sm];B[rk];W[so];B[qo]
(;W[sn];B[sl])
(;W[sq];B[sl]))
(;W[sq];B[sm])
(;W[sl];B[rk]))
(;W[sl];B[rk]
(;W[rp];B[sn])
(;W[qo];B[sn])
(;W[sn];B[sm])
(;W[sm];B[sk]))
(;W[rk]
(;B[sn]
(;W[qo]C[Black can't kill now.RIGHT])
(;W[rp];B[qo]))
(;B[qo];W[sn];B[sl];W[rp];B[sk];W[sq]C[RIGHT])))
(;W[qo];B[so]
(;W[rp];B[rk];W[sp];B[sm];W[sn]C[RIGHT])
(;W[sn];B[rk])
(;W[sl];B[rk]
(;W[rp];B[sn])
(;W[sp];B[sn])
(;W[sm];B[sk]))
(;W[sp]C[RIGHT];B[rk]
(;W[rp]
(;B[sm];W[sn]C[RIGHT])
(;B[sn];W[sm]C[RIGHT]))
(;W[sm];B[sl];W[rp];B[sn])
(;W[sn];B[sm]))
(;W[rk]C[RIGHT];B[sl];W[sk];B[sj]LB[nh:Tenuki?]
(;W[sm]C[You lost chance for tenuki. White still alive without this move])
(;W[sp];B[sn];W[sm]C[Alive, but you lost chance for tenuki])
(;W[rp];B[sn];W[sm]C[Alive, but you lost chance for tenuki])
(;W[sn];B[sm])
(;W[nh];B[sn];W[sm];B[rl]
(;W[rp]C[Yes, aliveRIGHT])
(;W[sp]C[Yes, aliveRIGHT]))))
(;W[rk];B[qo]
(;W[sl];B[sn]C[White can't live])
(;W[sn];B[sl];W[so];B[sp];W[rp];B[sk];W[sq]C[RIGHT])
(;W[sm];B[so]))
(;W[sl];B[rk]
(;W[so];B[sp]
(;W[qo];B[sn])
(;W[rp];B[sn])
(;W[sn];B[sm])
(;W[sm];B[sk]))
(;W[qo];B[sn])
(;W[rp];B[sn])
(;W[sn];B[so]))
(;W[sn];B[rk]
(;W[so];B[sp]
(;W[rp];B[sm])
(;W[qo];B[sm])
(;W[sq];B[sm]))
(;W[qo];B[so])
(;W[rp];B[so]))
(;W[sm];B[rk];W[so];B[sl]))
(;W[ro];B[rm])
(;W[rk];B[rm])))
(;W[rl];B[rn]C[White dies]
(;W[sm];B[sn];W[sk];B[rk])
(;W[rm]
(;B[sm])
(;B[rk];W[sn];B[so];W[sm];B[ro]))
(;W[rk];B[rm])
(;W[sn]
(;B[sm];W[so];B[rm])
(;B[so];W[sm];B[ro];W[sk];B[rk])))
(;W[rk]
(;B[rm];W[rl];B[rn])
(;B[rn]C[White dies]))
(;W[rm];B[rn];W[sn];B[so]
(;W[sm];B[ro]C[White dies])
(;W[ro];B[sm]C[White dies]))
(;W[sm];B[rm];W[rl];B[rn];W[sn];B[so]
(;W[sl];B[ro]C[White dies])
(;W[ro];B[sl]))
(;W[sn];B[rm]
(;W[rn];B[rk])
(;W[sm];B[rk])
(;W[rl];B[rk])
(;W[rk];B[sk];W[rl];B[sl]))
(;W[sl];B[rm]
(;W[rl];B[rn])
(;W[rk];B[rl]
(;W[rn];B[sk])
(;W[sk];B[sm]
(;W[rn];B[sj])
(;W[sj];B[si]))))
(;W[ro];B[rm]
(;W[rn];B[rk])
(;W[rl];B[rn]))
(;W[so];B[rm]
(;W[rn];B[rk])
(;W[rl];B[rn]))
(;W[sk]
(;B[rm];W[rl];B[rn])
(;B[rn])))