Inspired by sing216's problem 3416. Please flag and/or comment if there is a mistake. Thank you to BartTM for a correction!
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AB [bc][dc][be][de]
AW [cd]
C [White to play. Does white have anything here? (Y = yes: life or ko for life; N = no: unconditionally dead)][FORCE]
LB [gg:Y][hh:N]
(; W [gg]; B [gg] C [Prove it. (Play on the marked spaces for now.)][FORCE] TR [ce]; W [ce]; B [cf] C [FORCE] TR [dd]; W [dd]; B [ed] C [FORCE] TR [ee]; W [ee]; B [df] C [FORCE] TR [ec]; W [ec]; B [fd] C [FORCE] TR [cc]; W [cc]; B [cb] C [Almost there ...][FORCE] TR [db]; W [db]; B [bd] C [FORCE] TR [dc]; W [dc]; B [fc] C [FORCE] TR [fb]; W [fb]; B [gb] C [You're on your own now.]; W [bb]; B [ea] (; W [ca]; B [fa] C [Miai!] SQ [da][ab])(; W [fa]; B [ga])(; W [ab]; B [da]))
(; W [hh]; B [ce] AB [cd] AW [bc][dc][be][de] C [The colors have swapped. Show how you can kill unconditionally.]; W [cf]; B [dd]; W [ed]; B [ee]; W [df]; B [ec]; W [fd]; B [cc]; W [cb]; B [db] (; W [bd]; B [dc]; W [fc]; B [fb] (; W [da]; B [eb]; W [gb]; B [bb]; W [ca]; B [ba]; W [ab]; B [ea]; W [ca]; B [hb] C [Black escapes.] TR [ga][gc])(; W [gb]; B [bb] (; W [fa]; B [ea] C [Ko.])(; W [ab]; B [ca]; W [fa]; B [ea] C [Ko.])(; W [ea]; B [fa]; W [ga]; B [ca]; W [eb]; B [da]; W [ab]; B [ac] (; W [ad]; B [aa] C [Ko.] LB [ac:1][bf:2])(; W [aa]; B [fb]; W [fa]; B [ba]; W [ab] C [Well done!][RIGHT]))))(; W [fc]; B [bb]; W [bd]; B [ca]))
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