A nice problem, Frances
I ruff a small
♣ with the
♠7.
Now we get to a lot of branches.
1. East follows. If with the Q, pitch the
♦Q on the
♥K, play K
♠ and run the
♠J. This may lose to 3=6=2=2 or 3=5=3=2 with xxx
♠, but wins on 4-1 breaks and anytime the Q is onside.
If
♣x, then again pitch the
♦, play
♠K,
♠ to Ace and ruff
♣. Making if trump are 3-2
2. East overruffs with the Q.
If he returns a
♦, finesse, ruff
♣ with J, cross with a
♦ to
♦A, ruff
♣ with K, and play
♠, needing east to have begun with Qxx trump (likely shapes 3=5=4=1, or 3=6=3=1: if he is 2=6=4=1, with Qx
♠ I am down.
If he returns a
♠, win the 10, ruff a
♣ with the J, pitch a
♦ , win
♦A, ruff
♣ with the now stiff
♠K, ruff a
♦ and play
♠A: again needs east to have begun with Qxx of
♠. Note, playing a low
♠ on east's trump return destroys your chances should west insert the 9, forcing dummy to win an honour. Now east can overruff your 3rd
♣ ruff.
3. East overruffs with the 9.
If he returns a
♦, finesse, playing him for 3=6=3=1, with Kxx
♦. Hope to score 2 top
♣, 4
♠ in your hand, 3
♦ tricks, 2
♥ tricks and one
♣ ruff.
This means declining any
♠ finesse.
If he returns a
♠, again, take the
♦ finesse and hope to ruff out the
♦K: this may work even if east is 2=6=4=1, since west may have Kxx
♦
4. If he pitches a red card, I would play a weak opp to have neither the
♠9 nor the Q. The problem then is if west has Q9 tight, I do not need the
♦hook, but if he has Q9x, I do

.I hook the
♦, and play a
♠. If he plays the 9, I win the Jack, cross to the
♦A, ruff a
♣ with the K, play the
♠2 to the Ace, dropping the Q, draw trump and concede a
♣.
If he plays low on the trump, play him for Q9x. let your 6 hold the trick. Ruff a
♣, cross to the
♦A, ruff a
♣, ruff a
♦, cash the
♠A, and run the
♣, losing only the
♠Q.
Phew... I am exhausted and probably down at least 1
BTW, east may well have QJx
♣: it costs nothing to split, so we cannot assume that east is short in
♣. My line 1 still works if trump are 3-2 or 2-3, but I am in serious trouble if trump are 4-1, which is quite likely if east is long in
♣
'one of the great markers of the advance of human kindness is the howls you will hear from the Men of God' Johann Hari
2♥ x P 3♥
P 3♠ P 4♠
P 6♣ P 6♠
P P P