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I played a deal online as South and ended up as 3NT +3 (490 points). The deal analysis page indicates that this deal can be played at 7NT.

I retried several times, went straight for 7NT, but all attempts ended up as 7NT -1. West's ♠K is a serious problem that I failed to avoid.

Anyone suggest how this deal can be done at 7NT, with South as the contractor and West plays ♣Q as the first hand?

Note: All other three players are robots and know all cards, so tricking them into thinking the wrong way is impossible.

image

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There is a pentagonal squeeze on this hand. One line of play:

Win the club lead in dummy, cross to hand with the spade ace, take the diamond finesse, and play on diamonds, pitching spades. Eventually, west has to unguard a round suit to keep the spade control, and now you have a double squeeze, with west controlling spades and one round suit, and east controlling both round suits. Cash your hand's winner in the round suit controlled only by east, then return to dummy with the heart king. Now we've gotten to a standard double squeeze position; cash the last diamond, forcing east to unblock one suit, pitching the suit that east keeps. West will be forced to let go the last guard to one of your suits, and your thirteenth trick has materialized.

I've put together one possible play sequence.

(Thanks to Forget I was ever here for pointing out an error in my initial answer, and Mycroft for pointing out places that I had confused hand and dummy).


Here is the 6 card end position after winning ♣ Ace; coming to hand with ♠ Ace; and running ♢ after a successful finesse of ♢ Q:

         ♠ J
         ♡ K 7
         ♢ 3 2
         ♣ 7

 ♠ K            ♠ T
 ♡ Q 9 5        ♡ J T 6
 ♢ -            ♢ -
 ♣ J T          ♣ 9 8
         ♠ 5
         ♡ A 8 2
         ♢ -
         ♣ K 6

On the ♢ 3 East and South discard their last ♠ and West must unguard a round suit; establishing the double squeeze. Best defense is for West to pitch a ♡, as if South has ♡ J it's either doubleton, or West was always going to be victim of a successful ♠-♡ simple squeeze. (If West was dealt ♢ J or T instead of ♢ Q he should pitch a ♣ instead. Since South cannot see, or likely read, any of these cards, this option selection should be opaque to Declarer.)

On play of ♢ 2 East now discards ♣ 8 and South must guess the situation. If West is believed to be guarding ♣ (best above) then South must discard ♡ 2 and cash ♡ A and ♡ K in order to squeeze West in both black suits.

If West is believed to be guarding ♡ then South must discard ♣ 6 and cash ♣ K and ♡ K in order to complete the major suit squeeze on West.

Declarer's best bet for reading the situation is that East, whose ♣ attitude to the opening lead is known to all once Dummy comes down, probably gave an honest count signal in ♣'s at trick one. If East is astute enough to have seen the double squeeze coming that early, tip your hat to him as the better man/woman on this day.

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  • 1
    So, if West insists to keep the ♠K, I'll have to win the final trick with heart or club, right?
    – iBug
    Jul 9 '18 at 0:10
  • 1
    Yes, that's right
    – ruds
    Jul 9 '18 at 1:18
  • 1
    In your example, how are the entries managed if West discards H9 instead of CJ at trick 10? That is to say, in that case which card does South play on Trick 11? I believe the play is more complex than you suggest here. The round K's must be preserved until after West has been squeezed once, so that the 4-card entry to South, either HA or CK, can be kept in the suit West does NOT release. Jul 13 '18 at 8:46
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    @ruds: Oh! That is awesome :)
    – Aryabhata
    Jul 21 '18 at 0:16
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    I don't want to edit this, because I'll get it wrong :-) But I think you've swapped "hand" and "dummy" in the explanation (and once in the handviewer link). With West on lead, South is declarer, so to start, "win the club lead in dummy, cash the Spade Ace to set up the Jack as the spade threat, and to get to hand to take the diamond finesse, and..." "eventually...both round suits. Cash South's winner in [East's round suit], then return to dummy with the Heart King." It's a beautiful hand, even if deciding which squeeze to play requires looking at the opponents' hands...
    – Mycroft
    May 9 at 18:54

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