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Insufficient Suits- Free Brunch at Denver Nationals - A Bridge Challenge

This is hand 12 from the STAC Game, Saturday afternoon 24 October:

West
KQJ82
94
K954
Q9
North
A643
J75
AQ
AJ102
East
5
AKQ86
763
8743
South
1097
1032
J1082
K65
W
N
E
S
1
1NT
2
P
P
P
D
2 East
NS: 0 EW: 0

The opening lead is the J and the defense proceeds, , , , ruff, trump. Later the defense cashes two black aces and exits a trump, eventually winning all the clubs and coming to 8 tricks. Down 3. Deep Finesse indicates that N/S can make 7 tricks declaring a heart contract. Note that E/W have (at least) 20 points and 7 (+) hearts.

Now define anInsufficient Suit as belonging to a deal where the partnership holds at least 20 points and seven or more cards in that suit. A suit is insufficient if the fewest number of tricks that the natural side can take both as declarer and on defense with perfect play is less than 14. Here E/W can make only 11. (They can do better if W declares, but we are interested only in the extremum, or rather infimum!)

Call the degree of insufficiency the product of declaring shortfall (from 7) with defending shortfall (or 0 if there is none). Here that product is (7-5)(7-6)=2.

I will happily take to brunch at the Denver Nationals the solver who comes up with the most insufficient suit by Thanksgiving. Special credit (an extra mimosa) if there is a provable result.

Cheers.

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