First move E10 would allow a 1 point win. However, there is another way to achieve this result.
(;SZ[11]
AW[dc][jc][dd][de][ee][fe][ge][he][ie][je][ke][df][ff][kf][dg][eg][bh][ai][bi][ji][aj]
[cj][ij][kj][bk][hk][ik][jk]AB[cb][cc][cd][ce][cf][hf][if][jf][ag][bg][cg][gg][kg][ch][dh][eh][fh][gh][ih][jh][kh][di][hi][dj][gj][hj][dk][gk]LB[eb:X]
C[The 1 space jump (E10) is blocked. No komi, no prisoners yet - Black to win.]
(;B[da]CR[da]
;W[fb]CR[fb]
(;B[fa]CR[fa]
;W[ga]CR[ga]
(;B[eb]CR[eb](
;W[db]CR[db]
(;B[gb]CR[gb]
;W[ea]CR[ea]
(;B[ci]CR[ci]
(;W[ca]CR[ca]
(;B[ck]CR[ck]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]LB[da:K]LB[fa:L]
C[RIGHT You won by 1, the best result. The 17 point threat is just big enough to make first move 'K', better than the large monkey jump 'L'. The smaller ko threat (which must be at least 12 points) is required, to stop white answering the large ko threat and then playing 'C11' (after black takes the ko) which prevents black filling (navigate to see this path). It appears that the only time 'K' is a better move than 'L' into this formation, is when there are 2 ko threats (one 17 point or greater, the other 12 point or greater) to back it up; and even then, playing it costs sente.
------------------TO SUMMARISE: YOU NEED SERIOUS KO THREAT ADVANTAGE TO MAKE FIRST MOVE 'K' BETTER THAN 'L' INTO THIS FORMATION.])
(;B[ba]CR[ba]
;W[ck]CR[ck]
;B[da]CR[da]
;W[ec]CR[ec]
;B[ca]CR[ca]C[You lost by 9 points.]))
(;W[ck]CR[ck]C[NOTTHIS]
;B[fa]CR[fa]
;W[ca]CR[ca]
;B[ba]CR[ba]
;W[ea]CR[ea]
;B[ii]CR[ii]
;W[ca]CR[ca]
;B[ki]CR[ki]
;W[da]CR[da]
;B[bb]CR[bb]C[B +5]))
(;B[ii]CR[ii]
;W[ca]CR[ca]
;B[ki]CR[ki]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo])
(;B[ca]CR[ca]
;W[ec]CR[ec]C[You lost by 8 points.])
(;B[ck]CR[ck]
;W[ca]CR[ca]
;B[ci]CR[ci]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[RIGHT You won by 1, the best result. The 17 point threat is just big enough to make first move 'K', better than the large monkey jump 'L'. The smaller ko threat (which must be at least 12 points) is required, to stop white answering the large ko threat and then playing 'C11' (after black takes the ko) which prevents black filling (navigate to see this path). It appears that the only time 'K' is a better move than 'L' into this formation, is when there are 2 ko threats (one 17 point or greater, the other 12 point or greater) to back it up; and even then, playing it costs sente.
------------------TO SUMMARISE: YOU NEED SERIOUS KO THREAT ADVANTAGE TO MAKE FIRST MOVE 'K' BETTER THAN 'L' INTO THIS FORMATION.])
(;B[ki]CR[ki]
;W[ca]CR[ca]
;B[ii]CR[ii]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo]))
(;B[fc]CR[fc]
;W[ea]CR[ea]
(;B[ci]CR[ci]
;W[ck]CR[ck]
;B[fa]CR[fa]
;W[ca]CR[ca]
(;B[gb]CR[gb]
;W[ea]CR[ea]
(;B[ii]CR[ii]
;W[fb]CR[fb]
;B[ki]CR[ki]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo])
(;B[ha]CR[ha]
;W[da]CR[da]
;B[ib]CR[ib]
;W[hc]CR[hc]C[You are cut off, and cannot form a separate live group.])
(;B[ki]CR[ki]
;W[fb]CR[fb]
;B[ii]CR[ii]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo]))
(;B[ba]CR[ba]
;W[ea]CR[ea]
;B[ca]CR[ca]
;W[ec]CR[ec]C[You lost by 8 points.]))
(;B[ii]CR[ii]
;W[ca]CR[ca]
;B[ki]CR[ki]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo])
(;B[ck]CR[ck]
;W[ci]CR[ci]
;B[fa]CR[fa]
;W[ca]CR[ca]
(;B[gb]CR[gb]
;W[ea]CR[ea]
(;B[ii]CR[ii]
;W[fb]CR[fb]
;B[ki]CR[ki]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo])
(;B[ha]CR[ha]
;W[da]CR[da]
;B[ib]CR[ib]
;W[hc]CR[hc]C[You are cut off, and cannot form a separate live group.])
(;B[ki]CR[ki]
;W[fb]CR[fb]
;B[ii]CR[ii]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo]))
(;B[ba]CR[ba]
;W[ea]CR[ea]
;B[ca]CR[ca]
;W[ec]CR[ec]C[You lost by 8 points.]))
(;B[ki]CR[ki]
;W[ca]CR[ca]
;B[ii]CR[ii]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo]))
(;B[ec]CR[ec]
(;W[ea]CR[ea]
(;B[ci]CR[ci]
;W[ck]CR[ck]
;B[fa]CR[fa]
;W[fc]CR[fc]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[gb]CR[gb]C[Jigo])
(;B[gb]CR[gb]
;W[ea]CR[ea]
(;B[ii]CR[ii]
;W[ki]CR[ki]
;B[fa]CR[fa]
;W[ha]CR[ha]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[hb]CR[hb]
;W[ea]CR[ea]
(;B[ca]CR[ca]
;W[fa]CR[fa]C[You lost by 8 points.])
(;B[ia]CR[ia]
;W[ca]CR[ca]
;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.])))
(;B[ki]CR[ki]
;W[ii]CR[ii]
;B[fa]CR[fa]
;W[ha]CR[ha]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[hb]CR[hb]
;W[ea]CR[ea]
(;B[ca]CR[ca]
;W[fa]CR[fa]C[You lost by 8 points.])
(;B[ia]CR[ia]
;W[ca]CR[ca]
;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.])))))
(;B[ii]CR[ii]
;W[ki]CR[ki]
;B[fa]CR[fa]
;W[fc]CR[fc]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[gb]CR[gb]C[Jigo])
(;B[gb]CR[gb]
;W[ea]CR[ea]
(;B[ci]CR[ci]
;W[ck]CR[ck]
;B[fa]CR[fa]
;W[ha]CR[ha]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[hb]CR[hb]
;W[ea]CR[ea]
(;B[ca]CR[ca]
;W[ed]CR[ed]C[You lost by 8 points.])
(;B[ia]CR[ia]
;W[ca]CR[ca]
(;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.])
(;B[fa]CR[fa]
;W[ga]CR[ga]
;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.]))))
(;B[ck]CR[ck]
;W[ci]CR[ci]
;B[fa]CR[fa]
;W[ha]CR[ha]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[hb]CR[hb]
;W[ea]CR[ea]
(;B[ca]CR[ca]
;W[ed]CR[ed]C[You lost by 8 points.])
(;B[ia]CR[ia]
;W[ca]CR[ca]
(;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.])
(;B[fa]CR[fa]
;W[ga]CR[ga]
;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.]))))))
(;B[ck]CR[ck]
;W[ci]CR[ci]
;B[fa]CR[fa]
;W[fc]CR[fc]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[gb]CR[gb]C[Jigo])
(;B[gb]CR[gb]
;W[ea]CR[ea]
(;B[ii]CR[ii]
;W[ki]CR[ki]
;B[fa]CR[fa]
;W[ha]CR[ha]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[hb]CR[hb]
;W[ea]CR[ea]
(;B[ca]CR[ca]
;W[fa]CR[fa]C[You lost by 8 points.])
(;B[ia]CR[ia]
;W[ca]CR[ca]
;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.])))
(;B[ki]CR[ki]
;W[ii]CR[ii]
;B[fa]CR[fa]
;W[ha]CR[ha]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[hb]CR[hb]
;W[ea]CR[ea]
(;B[ca]CR[ca]
;W[fa]CR[fa]C[You lost by 8 points.])
(;B[ia]CR[ia]
;W[ca]CR[ca]
;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.])))))
(;B[ki]CR[ki]
;W[ii]CR[ii]
;B[fa]CR[fa]
;W[fc]CR[fc]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[gb]CR[gb]C[Jigo])
(;B[gb]CR[gb]
;W[ea]CR[ea]
(;B[ci]CR[ci]
;W[ck]CR[ck]
;B[fa]CR[fa]
;W[ha]CR[ha]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[hb]CR[hb]
;W[ea]CR[ea]
(;B[ca]CR[ca]
;W[ed]CR[ed]C[You lost by 8 points.])
(;B[ia]CR[ia]
;W[ca]CR[ca]
(;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.])
(;B[fa]CR[fa]
;W[ga]CR[ga]
;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.]))))
(;B[ck]CR[ck]
;W[ci]CR[ci]
;B[fa]CR[fa]
;W[ha]CR[ha]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[hb]CR[hb]
;W[ea]CR[ea]
(;B[ca]CR[ca]
;W[ed]CR[ed]C[You lost by 8 points.])
(;B[ia]CR[ia]
;W[ca]CR[ca]
(;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.])
(;B[fa]CR[fa]
;W[ga]CR[ga]
;B[ba]CR[ba]
;W[da]CR[da]
;B[bb]CR[bb]C[You lost by 13 points.])))))))
(;W[fc]CR[fc]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[gb]CR[gb]C[Jigo])
(;B[gb]CR[gb]
;W[ea]CR[ea]
(;B[ci]CR[ci]
;W[ck]CR[ck]
;B[fa]CR[fa]
;W[ha]CR[ha]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[hb]CR[hb]
;W[ea]CR[ea]
(;B[ii]CR[ii]
(;W[ki]CR[ki]
;B[fa]CR[fa]
;W[ia]CR[ia]
;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[ib]CR[ib]C[Jigo])
(;W[ca]CR[ca]
;B[ki]CR[ki]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo]))
(;B[ca]CR[ca]
;W[ed]CR[ed]C[You lost by 8 points.])
(;B[ki]CR[ki]
;W[ii]CR[ii]
;B[fa]CR[fa]
;W[ia]CR[ia]
;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[ib]CR[ib]C[Jigo])))
(;B[ii]CR[ii]
;W[ca]CR[ca]
;B[ki]CR[ki]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo])
(;B[ck]CR[ck]
;W[ci]CR[ci]
;B[fa]CR[fa]
;W[ha]CR[ha]
(;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[hb]CR[hb]
;W[ea]CR[ea]
(;B[ii]CR[ii]
(;W[ki]CR[ki]
;B[fa]CR[fa]
;W[ia]CR[ia]
;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[ib]CR[ib]C[Jigo])
(;W[ca]CR[ca]
;B[ki]CR[ki]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo]))
(;B[ca]CR[ca]
;W[ed]CR[ed]C[You lost by 8 points.])
(;B[ki]CR[ki]
;W[ii]CR[ii]
;B[fa]CR[fa]
;W[ia]CR[ia]
;B[ea]CR[ea]
;W[ed]CR[ed]
;B[ca]CR[ca]
;W[ib]CR[ib]C[Jigo])))
(;B[ki]CR[ki]
;W[ca]CR[ca]
;B[ii]CR[ii]
;W[bb]CR[bb]
;B[bc]CR[bc]
;W[ba]CR[ba]
;B[ab]CR[ab]C[Jigo]))))
(;B[ea]CR[ea]
;W[ec]CR[ec]
;B[ca]CR[ca]
;W[gb]CR[gb]C[You lost by 2 points.])
(;B[ca]CR[ca]
;W[ec]CR[ec]
;B[ea]CR[ea]
;W[gb]CR[gb]C[You lost by 2 points.]))
(;W[ea]CR[ea]C[NOTTHIS];B[gb]CR[gb]
;W[hb]CR[hb];B[fa]CR[fa]
;W[gc]CR[gc];B[fc]CR[fc]
;W[gb]CR[gb]
;B[ec]CR[ec]
;W[db]CR[db]
;B[ea]CR[ea]
;W[fd]CR[fd]C[B +2]))
(;B[ea]CR[ea]
;W[gb]CR[gb]
;B[eb]CR[eb]
;W[ec]CR[ec]
;B[db]CR[bd]C[You lost by 1 point.]))
(;B[eb]CR[eb]
;W[ec]CR[ec]
;B[fa]CR[fa]
;W[gb]CR[gb]
;B[ga]CR[ga]
;W[ha]CR[ha]
(;B[ea]CR[ea]
;W[db]CR[db]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[db]CR[db]
;W[ea]CR[ea]
;B[fa]CR[fa]
;W[ga]CR[ga]
;B[ea]CR[ea]C[You lost by 1 point.])))
(;B[fa]CR[fa]
;W[eb]CR[eb]
(;B[ea]CR[ea]
;W[gb]CR[gb]
(;B[fb]CR[fb]
;W[db]CR[db]
;B[da]CR[da]
;W[fc]CR[fc]
;B[ga]CR[ga]
;W[ha]CR[ha]
;B[ca]CR[ca]
;W[hb]CR[hb]C[Jigo])
(;B[da]CR[da]
;W[ga]CR[ga];B[fb]CR[fb]
;W[fc]CR[fc]
;B[db]CR[db]
;W[ec]CR[ec]C[Jigo])
(;B[ga]CR[ga]
;W[da]CR[da]
(;B[db]CR[db]
;W[ha]CR[ha]
;B[ca]CR[ca]
;W[fb]CR[fb]
;B[da]CR[da]
;W[hb]CR[hb]C[Jigo])
(;B[ha]CR[ha]
;W[db]CR[db]C[You are cut off, and cannot form a separate live group.]))
(;B[db]CR[db]
;W[fb]CR[fb]
;B[ga]CR[ga]
;W[ha]CR[ha]
;B[da]CR[da]
;W[hb]CR[hb]C[Jigo]))
(;B[db]CR[db]
;W[ea]CR[ea]C[You are cut off and cannot form a separate live group.]))
(;B[ea]CR[ea]
;W[fb]CR[fb]
(;B[fa]CR[fa]
;W[ga]CR[ga]
(;B[da]CR[da]
;W[gb]CR[gb]
;B[eb]CR[eb]
;W[ec]CR[ec]
;B[db]CR[db]C[You lost by 1 point.])
(;B[eb]CR[eb]
;W[db]CR[db]
;B[da]CR[da]
;W[ec]CR[ec]
;B[ca]CR[ca]
;W[gb]CR[gb]C[You lost by 2 points.])
(;B[db]CR[db]
;W[eb]CR[eb]
;B[da]CR[da]
;W[gb]CR[gb]C[You lost by 2 points.])
(;B[gb]CR[gb]
;W[da]CR[da]
;B[eb]CR[eb]
;W[db]CR[db]C[You are cut off, and cannot form a separate live group.]))
(;B[eb]CR[eb]
;W[db]CR[db]
;B[da]CR[da]
;W[ec]CR[ec]
;B[fa]CR[fa]
;W[ga]CR[ga]
;B[ca]CR[ca]
;W[gb]CR[gb]C[You lost by 2 points.]))
(;B[db]CR[db]
;W[eb]CR[eb]
(;B[ea]CR[ea]
;W[fb]CR[fb]
;B[fa]CR[fa]
;W[ga]
;B[da]CR[da]
;W[gb]CR[gb]C[You lost by 2 points.])
(;B[fb]CR[fb]
;W[ea]CR[ea]C[You are cut off, and cannot form a separate live group.]))
(;B[eb]CR[eb]C[NOTTHIS]))