There are several interesting ideas contained in the basic shape of problem 1865, but I wasn't clever enough to put them together in one problem. Maybe you would like to take a look at some of them nevertheless? In the position shown here, white can draw with the help of the komi...!
(;GM[1]FF[4]CA[UTF-8]AP[CGoban:2]ST[2]
RU[Japanese]SZ[7]KM[0.50]TM[]
AW[ec][cd][ed][ae][ce][de][ee][fe][ge][bf][ag]AB[ea][eb][gb][bc][cc][dc][fc][bd][dd][fd][gd][be][cf]C[No prisoners, but white received a 3 point komi - that is enough to draw the game! How should white play?]PL[W]
(;W[df]CR[df]
(;B[cg]CR[cg]
;W[ad]CR[ad]
;B[ac]CR[ac]
;W[dg]CR[dg]
;B[af]CR[af]
;W[ae]CR[ae]
;B[ad]CR[ad]
;W[bg]CR[bg]
;B[af]CR[af]
(;W[fb]CR[fb]
;B[fa]CR[fa]
;W[ae]CR[ae]
;B[cf]CR[cf]
;W[cg]CR[cg]
;B[af]CR[af]
(;W[db]CR[db]
;B[cb]CR[cb]
;W[ae]CR[ae]C[White connects the ko - jigo! RIGHT])
(;W[cb]CR[cb]
;B[db]CR[db]
;W[ae]CR[ae]C[White connects the ko - jigo! RIGHT]))
(;W[db]CR[db]
;B[cb]CR[cb]
;W[ae]CR[ae]
;B[cf]CR[cf]
;W[cg]CR[cg]
;B[af]CR[af]
;W[fb]CR[fb]
;B[fa]CR[fa]
;W[ae]CR[ae]C[White connects the ko - jigo! RIGHT])
(;W[cb]CR[cb]
;B[db]CR[db]
;W[ae]CR[ae]
;B[cf]CR[cf]
;W[cg]CR[cg]
;B[af]CR[af]
;W[fb]CR[fb]
;B[fa]CR[fa]
;W[ae]CR[ae]C[White connects the ko - jigo! RIGHT]))
(;B[ad]CR[ad]
;W[cg]CR[cg]
;B[af]CR[af]
;W[fb]CR[fb]
;B[fa]CR[fa]
;W[ae]CR[ae]C[White connects the ko - jigo!]))
(;W[ad]CR[ad]C[This is wrong - please look at the 'supplement 2' problem!])
(;W[cg]CR[cg]
;B[df]CR[df]
;W[ef]CR[ef]
;B[ad]CR[ad]
;W[dg]CR[dg]
;B[af]CR[af]
;W[fb]CR[fb]
;B[fa]CR[fa]
;W[ae]CR[ae]
;B[cf]CR[cf]
;W[df]CR[df]
;B[af]CR[af]C[Black connects the ko and wins by one point!]))