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Nice board for a nicer swing
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Playing at a BBO team match against random opponents, you are dealt a pretty good hand.

South
82
A76
A
AKQJ1096

With North dealer, just as you were thinking whether you should open 1 or 2 in a natural 2/1 system, partner surprises you with opening 1. RHO passes and you bid 2 after which LHO preempts to 3, natural, and partner rebids his hearts. Now you key-card in hearts and find out partner has 2 key cards with the Q and K, so you bid 7NT, expecting 13 top tricks. LHO doubles your grand, which you promptly redouble.

LHO leads the K, and partner puts down a slightly unexpected dummy.

North
AK5
KJ98542
J4
2
South
82
A76
A
AKQJ1096
W
N
E
S
1
P
2
3
3
P
4
P
5
P
5
P
6
P
7NT
X
P
P
XX
P
P
P

Partner explained he expected at least a 10-card fit for such a strong bid, so he showed his non-existing Q. While this may not always be true, it seems quite reasonable, and such a heart holding produces a loser only with East having all the remaining hearts, which accounts for only ~11% of the deals. Since, as you probably see so far, the slam is laydown unless East has Q10x, so let's see what we can do about that case.

Try to come up with a plan of your own before continuing.

North
AK5
KJ98542
J4
2
South
82
A76
A
AKQJ1096
W
N
E
S
1
P
2
3
3
P
4
P
5
P
5
P
6
P
7NT
X
P
P
XX
P
P
P

West's lead, 3 bid and double all clearly show that he certainly has the Q. In that case, he holds the only diamond stopper against dummy's J. Under our assumption that East holds the heart stopper (if not, you can just claim), we have a certain double squeeze, with W guarding the diamonds, E guarding the hearts, and both of them guarding spades. Our spade and diamond threats (cards which could be promoted with the squeeze) are obviously 5 and J, but what about hearts? If you decide to keep one of dummy's hearts in order to promote it after squeezing West, the squeeze will simply fail, since you would have to discard before them. Thus, you should simply choose to keep a small heart in your hand.

After winning the A in your hand, you cash the A, hoping to claim the hand if the suit splits 2-1, or W has all 3 hearts. However, when W discards, you should embark on a different campaign. You must now cash your K, a play often called the Vienna Coup, but is simply a fancy-named unblocking play. Had W led a black suit, you would have done the same with your diamonds by cashing the A (which is also necessary for the squeeze to function). Then you cross to the hand with the 2 and draw all of your clubs but one, carefully observing if the Q appears with W, or the Q with E. When neither appears, you lead your last club, squeezing W in spades and diamonds; if they discard a spade, you get rid of your J, squeezing E in the majors. If neither of the honors you were looking for appears, your spades must have been established, so you simply cross to the dummy and take your remaining tricks.

I was south on this deal and making 7NT, redoubled, vulnerable brought me 2980 points, more than I have ever seen in a single board, and a lot of satisfaction for managing to play it correctly (also a high-five from partner for not jumping at him for not having the Q Laughing). At the other table, NS played 7, which cannot be made since one trump trick had to be lost, resulting in a 22-IMP swing, also the highest I have ever experienced.

Even though partner didn't have the Q, he had an equally important card - the 2! Had he not had it, but, say, a small spade instead, I would have to guess whether hearts behaved, in which case you cash the A, or E had all 3 of them, and would have almost certainly gone down.

The full deal:

West
QJ10
KQ108653
854
North
AK5
KJ98542
J4
2
East
97643
Q103
972
73
South
82
A76
A
AKQJ1096
W
N
E
S
 
1
P
2
3
3
P
4
P
5
P
5
P
6
P
7N
X
P
P
XX
P
P
P
D
13
7NTXX South
NS: 0 EW: 0
K
4
2
A
3
1
0
A
3
2
3
3
2
0
7
5
K
10
1
3
0
2
7
9
4
3
4
0
A
5
4
3
3
5
0
K
8
5
3
3
6
0
Q
6
8
4
3
7
0
J
8
9
7
3
8
0
10
10
J
9
3
9
0
6
10
J
6
3
10
0
2
J
K
7
1
11
0
A
9
8
Q
1
12
0
5
Q
6
Q
1
13
0
N/S +2980
13

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