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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.

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

Win the club lead in hand, cash 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 dummy's winner in the round suit controlled only by east, then return to hand 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).

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    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
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    Yes, that's right – ruds Jul 9 '18 at 1:18
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    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. – Forget I was ever here Jul 13 '18 at 8:46
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    Oh, that's quite interesting. I'll have to think a bit longer, but I suppose you must avoid cashing round-suit winners (except the CA at trick 1) until the west has committed to the suit in the middle of the double. – ruds Jul 13 '18 at 11:31
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    @ruds: Oh! That is awesome :) – Aryabhata Jul 21 '18 at 0:16

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