Bridge writer Barry Rigal has told me about this problem.
In a team game some years ago, Brian Senior from Great Britain picked up these nice cards:
A Q 10 4
A K Q 8 4 3 2
Both sides were vulnerable, and Brian opened the bidding first in hand with 1. LHO overcalled 1, Brian's partner Geoff Wolfarth bid 1NT, and RHO surprisingly bid 2. What to do now is not clear, but Brian jumped to 3NT, reasonably enough, and expected it to make.
Three passes followed. The bad news is that North led a club, which meant that 3NT was three down when 6 of a minor would have made.
But there were good news on the deal too. What would your guess be as to the good news?
The deal looked like this (East dealer, both sides vulnerable):
|J 8 7 6 3|
|Q 10 9 7 4|
|Q 8 7 4 3||6|
|K 9 5 2||A Q 10 4|
|J 5||A K Q 8 4 3 2|
|K J 9 5 2|
|10 9 6|
|A K 6 3 2|
South, Vladis Nikolov Isporski, didn't have any extra values, but the cards seemed to fit perfectly (nothing wasted in North's shortness), so he accepted North's slam try. After ruffing the second trick, he drew trumps and finessed the spade ten (that West had at least four spades was guaranteed, so the finesse was heavily odds-on). After that, he recorded +1540 and won 15 IMPs for his team.
An alternative plan is to cash one trump honor only, then cash the spade tops. When East, not so surprisingly, has 1-1 in the black suits, South can establish a third spade trick and then crossruff the rest. That plan fails (compared to the one chosen) if East has two clubs and one spade, but on the other hand it picks up East's queen singleton or doubleton.
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