(;GM[1]FF[4]CA[UTF-8]AP[CGoban:3]ST[2]
RU[Japanese]SZ[19]KM[0.00]
PW[capturing]PB[race]C[We will learn about capturing races!
]
(;AW[kb][mb][nb][lc][nc][rc][od][pd][qd][rd][ne][oe][re][rf]AB[ob][mc][oc][pc][qc][md][nd][me][mf][nf][pf][qg][rg]C[Black to play

White has 8 liberties. Where is the vital point?

]
;W[]
(;B[pa]C[This is correct!
]
(;W[sb]
;B[qb]
;W[ra]
;B[sc]
;W[sd]
;B[sf]
;W[na]
;B[of]
;W[oa]
;B[pe]
;W[sa]
;B[qe]
;W[sc]
;B[qf])
(;W[qb]
;B[sb]C[Black can live.]))
(;B[sb]
;W[pa]C[This is the vital point to kill.]
(;B[oa]
;W[qb])
(;B[qb]
;W[oa]
;B[sf]
;W[sc]
;B[se]
;W[qa]C[Black has 3 and whtie has 5 liberties.]))
(;B[sc]
;W[pa]
;B[qb]
;W[oa]
;B[of]
;W[qa]
;B[qf]
;W[ra]C[White wins.])
(;B[qa]
;W[sb]
;B[oa]
;W[pb]
(;B[qf]
;W[qb]
;B[pa]
;W[qb]
;B[pb]
;W[sa]
;B[sc]
;W[sd]
;B[of]
;W[sc]
;B[pe]
;W[ra]
;B[sf]
;W[na]C[White wins again.])
(;B[sc]
;W[sd]
;B[sa]
;W[ra]C[There is a ko. But too many steps for black to win it.]))
(;B[oa]
;W[sb]
;B[ra]
;W[sc]
;B[of]
;W[sa]
;B[qb]
;W[pa]C[enough for white]))
(;AW[oa][ob][oc][od][pd][qd][rd][sd]AB[pa][mb][pb][nc][pc][qc][rc][nd][ne][re][pf][qf]C[Black to play

There is one way to win.]
;W[]
(;B[sb]C[Correct move!]
;W[ra]
;B[sc]C[Black has 7 and white has 6 liberties.

3-3
4-5
5-8
6-12

The form - Liberties])
(;B[sc]C[Typical mistake

]
;W[rb]
;B[sb]
(;W[qa]
;B[oe]
;W[sa]C[White can make ko.])
(;W[ra]C[Mistake]
;B[oe]
;W[qa]
;B[pe]
;W[qb]
;B[sa]C[B-5
W-4]))
(;B[rb]
;W[ra]
;B[sc]
;W[qa]
;B[oe]
;W[sb]C[Also ko])
(;B[ra]
;W[sb]
;B[sc]
;W[rb]C[Too easy for W.]))
(;AW[oa][lb][mb][nb][ob][oc][pd][qd][rd][rf]AB[ka][kb][pb][kc][pc][qc][rc][ld][md][nd][od]C[Black to play

]
;W[]
(;B[sb]
;W[ra]
;B[pa]
;W[sd]
;B[sc]C[Black has 7 and white has 6 liberties.])
(;B[pa]C[This looks ok. but...]
;W[sb]C[This is the vital point.]
;B[sc]
;W[rb])
(;B[sc]
;W[pa]
;B[qa]
;W[rb]C[Also does not work for b.])
(;B[rb]
;W[qa]
;B[pa]
;W[sc]
;B[sb]
;W[ra]
;B[sd]
;W[se]
;B[la]
;W[qb]
;B[ma]
;W[sc]
;B[sa]
;W[qa]
;B[na]
;W[qb]
;B[sd]C[Black needs to ignore two threats to win this ko.]))
(;AW[pb][qb][dc][ec][gc][nc][qc][cd][fd][be][ce][fe][ge][he][qe][re][bf][ff][gf][dg][eg][bh][ch][dh][eh][fh][gh][ai][ci][di][fi][ki][bj][cj][gj][hj][ij][ek][fk][ik][kk][dl][el][fl][gl][il][kl][nl][pl][fm][mm][pm][cn][fn][mn][bo][mo][oo][bp][dp][ep][fp][gp][jp][mp][pp][qp][rp][gq][rq][mr]AB[nb][ob][ic][jc][mc][pc][ed][gd][hd][jd][pd][de][ie][af][cf][df][ef][hf][pf][qf][rf][bg][cg][fg][gg][hg][ig][ah][hh][ei][gi][hi][dj][ej][fj][bk][ck][dk][gk][hk][mk][nk][pk][qk][cl][hl][jl][ml][ql][cm][dm][em][hm][im][jm][lm][bn][ln][kp][np][op][eq][fq][kq][pq][qq][dr][gr][hr][nr][rr]TR[ei][dj][ej][fj][bk][ck][dk][cl][cm][dm][em][bn]SQ[ki][gj][hj][ij][ik][kk][il][kl]C[2014.03.20
W- Byon Sang Il 3p 
B- Cheon Yao Ye 9p

Black to play

There is capturing race.
B found a nice move to win.]
;W[]
(;B[al]
(;W[ae]
;B[bm]
;W[an]
;B[lh]
(;W[kj]C[Connecting here gives white most liberties]
;B[jk]
;W[jj]C[White has 8 liberties.]
;B[kh]
;W[ag]
;B[ii]
;W[dn]
;B[ji]
;W[en]
;B[li]
;W[ao]
;B[lj]
;W[am]
;B[km]
;W[ak]
;B[aj]C[Black takes ko first.])
(;W[kh]C[This was the game]
;B[kg]
;W[mj]
;B[lj]
;W[li]
;B[kj]C[Good move to reduce liberties.]
;W[ii]
;B[jh]
;W[lk]
;B[jj]C[This is the game.
Now white has even less liberties.]
;W[ji]C[White needs to connect here]
;B[jk]
;W[mh]C[White can go out..]
;B[lg]C[but black is so strong on the outside. White has nowhere to run and black will win the liberty race.]))
(;W[bm]C[If w cuts here...]
;B[ag]
;W[ae]
;B[aj]
;W[ak]
;B[fc]
;W[fb]
;B[aj]C[White does not have any ko threats.]))
(;B[bm]C[Not good idea.]
;W[al]
;B[ak]
;W[ae]
;B[lh]
;W[kj]
;B[jk]
;W[jj]
;B[kh]
;W[dn]
;B[ii]
;W[en]
;B[li]
;W[an]
;B[lj]
;W[am]
;B[km]
;W[ao]
;B[lk]
;W[bl]C[white wins with one lieberty.]))
(;AW[lb][qb][kc][mc][pc][nd][od][qd][ne][re]AB[nc][oc][ld][md][pd][pe][mf][pf][rf][og]C[Black to play

B has 2 and w has 3 liberties.
]
;W[]
;B[mb]
;W[lc]
;B[pb]
;W[qc]
(;B[nf]C[Just take a liberty now.]
;W[ob]
;B[nb]
;W[pa]
;B[me])
(;B[nb]C[Bad idea.]
;W[ma]
;B[oa]
;W[la]
;B[na]
;W[qa]C[Black loses the capturing race]))
(;AW[ib][kb][lb][pb][qb][ic][jc][mc][nc][oc][rc][nd][rd][ne][re][qf][qg]AB[jb][mb][nb][ob][kc][lc][pc][qc][jd][le][pe][qe][mf][nf][pf][og]C[Black to play

B has 3 and w has 4 liberties.]
;W[]
;B[la]
;W[ja]
;B[pa]
;W[rb]
;B[me]C[Now black can fill]
(;W[qa]
;B[md]
;W[oa]
;B[oe])
(;W[oa]C[White can not throw in]
;B[md]C[Black will just fill]))
(;AW[pb][nc][oc][md][pd][qd][me][nf][pf][qf]AB[jc][lc][mc][pc][qc][rc][ld][nd][od][rd][oe][re]C[Black to play

Black has 3 liberties. There is a really good move for b.]
;W[]
(;B[oa]C[Correct move.]
;W[mb]
;B[na]C[Nice move!]
;W[ma]
;B[qb]
;W[nb]
;B[lb])
(;B[qb]C[Wrong answer.]
;W[mb]
;B[ma]C[Good tesuji.]
(;W[of]C[Good answer.]
;B[nb]
;W[ob]
;B[oa]C[B can make ko but it is not the best way.])
(;W[nb]C[If white answers..]
;B[lb]
;W[oa]
;B[la]
;W[na]
;B[qa]C[B can kill w.])
(;W[lb]
;B[kb]
;W[ob]
;B[pa]
;W[na]
;B[qa]C[Black wins.])))
(;AW[kb][lb][nb][pb][kc][nc][dd][fd][kd][md][be][ce][ke][ne][kf][nf][rf][lg][og][pg][qg][mh][nh][qh][mi][pi][ri][mj][pj][mm][cn][po][dp][mp][op]AB[ma][mb][lc][mc][qc][ld][pd][le][re][bf][cf][df][lf][mf][of][pf][qf][mg][ng][oh][ph][ni][oi][qi][cj][nj][qj][nk][qk][jp][qp][fq][nq][oq][pq]TR[ma][mb][lc][mc][ld][le][lf][mf][mg][ng]SQ[rf][og][pg][qg][qh][ri]C[Professional players game.

Black to play

B has 3 liberties.]
;W[]
(;B[si]
(;W[na]
;B[rh]
;W[rg]
;B[sg]C[The best way for both.]
;W[sh]
;B[kg]
;W[sj]
;B[lh]
;W[mk]
;B[nl]
;W[ml]
;B[od]C[This is the game. ( B won)])
(;W[rj]
;B[rk]
;W[sh]C[Not good idea.]
;B[rg]
;W[rh]
;B[sf]C[B wins without ko.]))
(;B[rj]
;W[na]C[White wins.])
(;B[sg]C[A fake raccoon belly tesuji]
;W[rh]C[White has 4 liberties black 3])
(;B[sh]C[Also not good]
;W[rh]
;B[rj]
;W[sg]
;B[se]
;W[na])))