lamford, on 2019-October-21, 13:43, said:
The winning line is to win the spade and play four rounds of hearts immediately, pitching a club. Both opponents are squeezed in an unusual way. The full layout:
Say both opponents pitch a diamond. Now you lead the nine of clubs and have to guess that East has QJx if he ducks. Say that he splits. You rise, West winning with the ace and playing another spade which you must duck. Now West switches to a diamond, and you cannot afford the queen, but the ace or low works, followed by another club. East will eventually have to give you two more diamonds or access to the South hand! I must confess to not finding this line, and finessed the diamond when West switched to it.
The initial lead of a small diamond beats the contract by breaking up the endplay, as East was quick to point out at the table. Readers can amuse themselves in working out why the ten of diamonds fails.
That may have been the winning line, but that doesn't make it the right line.
The analysis gets messy, since the best line/defence depends on who has what, especially in clubs, but the main point is that after you run the hearts, and concede a club, you have to duck the next spade, and LHO, if he holds that, can switch to a diamond.
Say you rise with the A, to play another club....say RHO ducks and you win in hand (of course, on a bad day LHO has QJ tight): do you cash your spade now? If you don't, you may never score it. If you do, they may score 2 or 3 spades, a diamond and 2 clubs. Say you hook...if it loses, you are down. If it wins, you play a club, and guess to win....again, do you cash your spade or do you give up in that, and any other club tricks...scoring 1 spade, 4 hearts, 2 diamonds and a club?
While there are a lot of permutations, I think your line needs either great guessing or misdefence...as an example of the latter, you assume that East splits from QJx. I think it unclear, to be charitable, that such is the correct defence for East. Note that if he ducks, you imply that declarer may float the 9 or fly with the King...you can't analyze a hand based on the notion that declarer will make a good guess.
While it is, I think, close, I remain of the view that the percentage play is to place RHO with the club Ace, doubleton or tripleton, since there is very little he can do to beat you with that holding, and there is zero need to 'guess' at any point. I do see that my line fails....that doesn't bother me. I'd rather fail on the better line than win on the inferior...in the long run I will be ahead of the game.
Cyber pointed out that an astute East might win the club Ace from Ax if LHO hopped up with the J from QJx. Yes, that is possible. I've played against some of the best players in the world, and I would be worried about that if I were playing Meckwell, or Rosenberg, or Zia...etc....but I very much doubt that any of the 99% of 'normal' players we encounter would find that play. Plus, it is a very low frequency holding....no other holding works.
'one of the great markers of the advance of human kindness is the howls you will hear from the Men of God' Johann Hari