[Mbodell]

You are red versus white at IMP and have a keycard auction, showing all the keys and Q, to 6♥ S.

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Opening lead is a heart, plan the play:

[Zelandakh]

Dummy reversal seems to work. Something like ♥9, ♠A, ♠ ruff, ♣K, ♠ ruff, ♣A throwing a ♦, ♣ ruff, ♠ ruff with A, ♥J, ♠ ruff. Hmmm, maybe better to cross back with a trump than a club ruff the first time...whatever.

[bd71]

I'm assuming both followed to the first round heart.

Agree with dummy reversal, which I think by itself is sufficient the vast majority of the time the ♠K drops by the 4th round, establishing the ♠Q as our 12th trick (11 are in the bag...1 ♠, 4 ♥ in North, 3 ♥ ruffs in South, 1 ♦, and 2 ♣). But on the off-chance spades don't cooperate, I think we need to run the ♦9 early (I'll do it at Trick 2) to possibly set up either a ♦ finesse against East or a ♠/♦ squeeze for the 12th trick.

[gszes]

trick 1 win in dummy
trick 2 spade A
trick 3 ruff spade low (odds of rho having 6 spades to KJ and a dia honor and not bidding
2 or 3 spades at favorable kind of slim)
trick 4 small trump to dummy
trick 5 ruff a spade high. we now know if spades will come home even if it takes a ruffing finesse
against rho when lho held Jx spades and 2 or less trumps. if trump 22* if trumps 31**
assuming spades come home
trick 6 low club to king
trick 7 ruff or ruffing finesse (if rho ducks ruff trick 8 then continue as below except skip trick 10)
trick 8 ruff a club
trick 9 pull last trump
trick 10 spade
trick 11 claim 2 of last 3

* sigh nothing is ever easy so here we are with little hope and less entries
assuming someone didnt have the QJ doubleton of clubs we need 2 diamonds
so we are hoping for 33 diamonds or if 42 rho has KQ. The only thing working for us
is the opps cannot return a spade when they get in or the hand is over.

trick 6 low club to K
trick 7 dia toward the J. if it holds the hand is over so
if LHO wins we know rho didnt begin life with KQxx so we need 33 diamonds and the play
proceeds from however lho defends.

If they return a club
trick 8 win A (pitch a dia)
trick 9 dia A
trick 10 ruff a dia
trick 11 ruff a spade
trick 12 dia pitch spade
trick 13 ruff a club

If they return a dia
trick 8 win as cheaply as possible
trick 9 knock out remaining top dia
claim via dia spade ruff club ruff and club A

** Oh great 31 trumps now we have even less options but we still have the
advantage of neither opp being able to play a spade when they win a trick.

Our only chances are: (my brain hurts cant think of any other possibilities)

lho rho
K(any 4 spades) x KQ (any 5 clubs) 2(non K spades) xxx Txxx (any 4 clubs).
K(any 4 spades) xxx KQ (any 3 clubs) 2(non K spades) x Txxx (any 6 clubs).
K(any 4 spades) xxx xxx (any 2 clubs) 2(non K spades) x KQx (any 7 clubs).
K(any 4 spades) x xxx (any 4 clubs) 2(non K spades) xxx KQx (any 5 clubs).

We know who has the 3 card trump suit

We cannot cater to both holdings so it seems we must go for the holding
where rho has KQx in diamonds since that seems way more likely than
lho holding KQ tight.

the LOP are very similar
trick 6 club to K
trick 7 dia toward AJ if it holds the hand is over
trick 8 dia A
trick 9 club A (pitch a dia)
trick 10 ruff a club
trick 11 ruff a spade
trick 12 claim 1 more

so we assume rho inserts a dia honor and we duck trick 7

if rho returns a heart
trick 8 win in dummy
trick 9 another heart(pitch club)
trick 10 dia toward AJ
trick 11 dia
trick 12 dia
trick 12 club A

if rho returns a dia
trick 8 win the J
trick 9 heart to dummy
trick 10 heart (pitch club)
trick 11 dia to A
trick 12 dia
trick 13 club A

if rho returns a club
trick 8 win the A pitch a spade
trick 9 heart to dummy
trick 10 heart (pitch club)
trick 11 dia toward AJ
trick 12 another top dia
trick 13 take last dia

that was wayyyyyyyyyyyyyyyyyyyyy too much work