Main Analyses 7V80 by Richard Pavlicek
Besides the fine showing this month, Gabriel Nita-Saguna is also the new overall leader, narrowly edging out Rob Stevens by my tiebreaking formula. It is also noteworthy that Gabriel is (and has been for a quite a while) the only person in the Top 10 in both the play contests and bidding polls. Another curiosity is a family affair: Rainer Herrmann is 10th in the play contests, and his wife Zuzana is 10th in the bidding polls. Neat; let her bid em and him play em.
Every month it seems I am updating my country list, as a new participant emerges from a country in which I didnt realize bridge was played. Perhaps one day it may happen that all countries play bridge at least that would be welcome news over some sad events of the times. This month was no exception, and Im sure all join me to welcome Glyn Puddefoot of Botswana. Hmm. Botswana. Now I have to decide whether to rank him with the humans or the bots.
Unless otherwise noted, the bidding by both sides is Standard American, and you use standard leads. For a reference on these agreements, see my summary of Standard American Bridge. Assume both opponents are experts.
Each problem offered six plausible lines of play. The merit of each is scored on a 1-to-10 scale based on my judgment, which is also aided by some of the comments I receive. These problems were not easy (and one was deliberately tricky), which surely accounts for the lower scores this month.
|3 NT South|| 6 5|
K J 8
A Q J 10 4
Q J 4
|Lead: K||East plays 10|
| A 4 2|
8 5 3
K 8 6 5 3
Your play? (If you duck the first trick, West leads the Q and East plays the 3.)
|B. Win first spade; lead 3 to jack||10||50||7|
|D. Win second spade; lead 3 to jack||8||107||16|
|F. Win third spade; lead 3 to jack||6||248||36|
|A. Win first spade; lead 3 to queen||4||11||2|
|C. Win second spade; lead 3 to queen||3||60||9|
|E. Win third spade; lead 3 to queen||2||211||31|
Most of the respondents followed general principles, holding up the A until the third round. Having done this, Line F is better than Line E because it succeeds whenever spades are 4-4 or when the A is with the shorter spades (barring some bad club breaks); this parlay is clearly better than relying on a finesse in diamonds.
Alas, general principles can lead you astray. The only advantage in holding up the A is if West has five or six spades and East has the A; but is this really possible? Hardly. First, if West held K-Q-J-x-x or better at favorable vulnerability, would he pass over 1 ? Not the opponents I play against. Second, is there anyone who would signal with the 10 from 10-9-x or 10-x? (Note that this is an attitude signal by standard methods, not count.) Therefore, it is virtually impossible for the holdup play to gain, and there are common layouts where it will cost, like this:
|3 NT|| 6 5|
K J 8
A Q J 10 4
Q J 4
| K Q J|
9 6 5 3 2
9 7 6
| 10 9 8 7 3|
10 7 4
A 10 2
| A 4 2|
8 5 3
K 8 6 5 3
If you hold up the A until the third round, you are history, as it unleashes the spade suit for East. If you win the first or second spade and lead clubs immediately, the spades are blocked. But wait! Winning the second round is no good either: East can hold up the A, then West can jettison the J on the third club. This defense should be obvious, too, for an expert pair. (Also note that it does not help to switch to diamonds after winning two clubs; East can still cash the A for West to pitch the J.) The best play is to win the first spade and lead clubs (Line B).
This was one of the easier problems to score, as leading clubs is always better than leading diamonds, and the longer you hold up the A the worse your chances become.
John Reardon: This hand reminds me of the Sherlock Holmes story The Hound of the Baskervilles. West most probably wont have more than four spades to the K-Q-J or he would have bid. The danger seems to be when he has led from just three spades and has a hand like K-Q-J x-x-x-x-x x-x-x-x 9. If I duck even one round of spades, East can duck the first club and West will unblock the J on the second round so that East can cash his spades.
Johns example is curious indeed, as I believe declarer is sunk (except by dropping the stiff K) if he leads a second club. East can duck again, allowing West to dump both of his spades.
Gabriel Nita-Saguna: It is unlikely that West started with five spades; he would have overcalled with K-Q-J-x-x or better. If spades are 4-4, it does not matter how many times I duck. The problem is when West started with three spades, K-Q-J. If I duck once and play on clubs, and if I win the first two club tricks, how am I going to continue? Because now, if East has the A, West has a spectacular discard, unblocking the spades.
Rob Stevens: Twenty-five years ago this would have been a tougher decision. Now, everybody (except me) bids with five spades to the K-Q-J regardless, so I should assume spades are 4-4 or that West has K-Q-J tight. Therefore, the diamond finesse is out, and I should hope for clubs 3-2 or a singleton [honor] with West. I must also make it difficult for the defense to unblock spades, so I win the first trick
Charles Blair: I will look foolish (once again) if West has five spades, but sound overcallers are an endangered species.
Alex Perlin: People stretch to overcall 2 over 1 at favorable vulnerability to exclude two levels of bidding. So West wont have K-Q-J-x-x unless I am playing against vegetables always a distinct possibility.
Rainer Herrmann: Keep the spades blocked.
Gareth Birdsall: West must have led from either K-Q-J, K-Q-J-x, or K-Q-J-x-x (the last being unlikely since he would probably overcall, especially if he has the K or A). If I dont hold up, it is better to win the first round to guard against West unblocking with K-Q-J and two clubs.
Radu Mihai: Looking at the cards played on the first trick, its clear West has K-Q-J. I dont think West would have passed over 1 having five or more spades at this vulnerability, so spades are 4-4, or 5-3 and blocked.
Arvind Srinivasan: Ducking the first spade may result in West pitching his third honor on the A and unblocking the suit.
Craig Satersmoen: Looks like West has three spade honors but didnt overcall nonvulnerable; hence spades are either 4-4 or blocked. Holding up on the spade might lead to West pitching the blocking spade on the A.
Frances Hinden: I dont believe West has K-Q-J-x-x with no 1 or 2 overcall. My understanding of the 10 is that East cant have the jack so I take the first spade to stop East ducking two clubs allowing West to discard the blocking spade honor.
Imre Csiszar: West would have overcalled with six spades, or five and the A. Line F wins if West has five spades, but then East would be unlikely to play the 10.
Kent Feiler: The only hands of note seem to be (1) West holding K-Q-J-x-x-(x) and no A, or (2) K-Q-J tight. Since (1) looks like a 1 overcall, Ill deal with (2). Its important to win the first spade to prevent the opponents from getting cute and pitching the J under Easts A on the third round.
Phil Clayton: This wins when spades are 4-4 or blocked. There is no point in holding up, as the defense may unblock their spades on the third round of clubs. I may look foolish if West has led spades from an entryless hand; but why is East encouraging?
Bill Jacobs: If you trust the bidding and carding, West has either K-Q-J or K-Q-J-x. Take the first spade to avoid a jettison later.
Richard Stein: Aww. Are the spades all bwocked up for the poor widdle opponents?
Oh, my. Now we have our own resident Barbara Wawa.
Theres always something! -Gilda Radner
Pratap Nair: Spades could be K-Q-J with a five-carder on the right.
Richard Higgins: Not sure who is long in spades, but West didnt overcall 1 or 2 ; so it seems no good to duck.
Raimon Tatxe: Easts positive signal can only be from 10-9-x-x or 10-9-x-x-x. In both cases it seems good to take the first spade and play clubs.
Luc Segers: East doesnt have the J, so West appears to have K-Q-J. He probably doesnt have five spades since he did not overcall; either spades are 4-4 or 3-5 and blocking.
|4 South|| K 10 9 2|
Q 6 3 2
A K Q J
|Lead: Q||East plays A|
| 5 4|
A K 5 4
8 7 5
9 4 3 2
At trick two East leads the 6, West plays the eight, and you ruff low in dummy. Your play?
|C. Win K; lead spade to king||10||238||35|
|B. Lead the 10||9||141||21|
|E. Win Q; K; lead spade to king||8||115||17|
|A. Lead the K||7||21||3|
|D. Win K; lead spade to 10||4||111||16|
|F. Win Q; K; lead spade to 10||2||61||9|
At first glance this seems like an easy contract (assuming normal breaks), but a closer look reveals the communication problem. You need a second club ruff; and if you go after it immediately, you will be stranded in dummy, unable to draw the outstanding trump. Therefore, the crucial decision is whether you should waste one of the entries to your hand to lead a spade to the king (clearly better than finessing the 10 since you cant lead spades twice from hand) or resign yourself to two spades losers and lead spades from dummy to build communication.
When I first created this problem, my intended solution was Line B (with Line A being a close second) as this will succeed against all normal breaks, while the alternatives require the A to be onside. For example:
|4 || K 10 9 2|
Q 6 3 2
A K Q J
| Q 8 6 3|
J 9 8
10 6 3
Q J 8
| A J 7|
9 4 2
A 10 7 6 5
| 5 4|
A K 5 4
8 7 5
9 4 3 2
After ruffing the club at trick two, simply give up a spade. If the opponents lead a third club, you can draw trumps and claim. Otherwise, you will concede a second spade to develop an entry to your hand so you can ruff another club and draw trumps. If instead, you wasted a heart entry to lead the spade, East can always defeat you. (Even the double-dummy play of finessing the 10 is not good enough, as a third club leaves you in a hopeless predicament.)
Alas, this is not so clear-cut. As a number of astute solvers commented, Easts club return at trick two is a factor that cant be ignored. Would an expert East make this play holding the A? Probably not. Note that in the above layout if East simply returns a red suit (I prefer a diamond because of its scare power) you would be obliged to find the A onside to succeed.*
*It may seem that you are now able to take two spade finesses, but thats an illusion. If your first spade lead is to the 10 and jack, East will return a club to force dummy; then you cant afford a trump to hand for another spade lead. It is true that you can succeed at double-dummy by ruffing out the A, but hopefully you wont admit to playing for that.
After much deliberation, I decided that the inference about the A being onside was strong enough to override simply playing for normal breaks. Taking advantage of this allows you to succeed against certain bad breaks. For example:
|4 || K 10 9 2|
Q 6 3 2
A K Q J
| A J 6 3|
10 6 3
Q J 10 8 7
| Q 8 7|
J 9 8 7
9 4 2
A 6 5
| 5 4|
A K 5 4
8 7 5
9 4 3 2
Leading spades from dummy obviously loses outright; but the defense is helpless if you cross to the K and a lead a spade to the king, then give up a spade. This layout also shows the advantage of Line C over Line E. If you were to cash two trumps, East could win the second spade and lead a third trump to beat you (also note that reverting to diamonds cant overcome this).
Several respondents mentioned the danger of a 6-2 club break, e.g., West having A-x J-9-x x-x Q-J-10-8-7-5, where the failure to draw a second round of trumps allows East to overruff the third club. Certainly true, but in that event you are destined to fail anyway. (Versus Line E, East wins the A and returns a club, locking you in dummy; then you must lose two more tricks.)
Next comes the scoring issue. While the choice between Lines B and C is debatable (it is impossible to quantify an inference), it seems clear that Line B is superior to Line A* and Line C is superior to Line E. Therefore, I decided to give the top two awards to the better line from each camp.
*Leading the K first gives the opponents greater flexibility; that is, either opponent may be able to win the second round. Conversely, leading the 10 (followed by the king later) restricts their communication. This might be crucial versus a bad spade break or other dangerous layouts.
Tonci Tomic: The club return is a strong indication that clubs are 6-2. Anyway, I dont want to go down if the A is onside. The contract can [also] be made with the A offside if East is 3=3=4=3 (or 4=3=4=2 with A-Q-J-x).
Walter Lee: Line B is attractive a priori, but East is not supposed to defend this way staring at the A. I hope East has Q-x-x J-10-9-8 x-x-x A-6-5, but Ill accept Q-x J-10-9-8 x-x-x-x A-6-5.
Gareth Birdsall: Its [probably] necessary for the A to be onside to make the contract; however, I can succeed if trumps are 4-1 and the defender with long trumps has 3+ diamonds If the K holds, I lead another spade.
Stefano Biciocchi: It seems to be no advantage not to try for the A in West. Leading a spade from dummy to gain communication needs hearts and spades to break favorably. Leading a spade to the 10 is not good for lack of an entry. Cashing two top hearts is of no utility and may preclude a club ruff.
Neil Morgenstern: I cant see how it gains to lead to the 10 its going to lose to the jack or queen most of the time, and if East leads back a diamond, what then? At least if the K holds, Im probably home.
Sergey Kustarov: [By leading a second club] East showed one of three cases: (1) West has the A, (2) hearts are 4-1 or (3) East has only two clubs. In any other case its right to return a heart. Line C can win if hearts are 4-1 (if long heart hand has 3+ diamonds).
Nigel Guthrie: If trumps are 3-2 and West has A, I do not want to hear partners comments if I adopt another line.
Douglas Dunn: Expert defense? If East has the A, hes just let the contract make; so West should have it. I can still make if trumps are 4-1 as long as three diamonds can be cashed.
Leonard Helfgott: If this loses Im probably down, but leading spades from the table to get a spade ruff requires somewhat more than just 3-2 trumps. If the A is onside, I have some chances even if trumps are 4-1.
Carlos Dabezies: [I cannot afford] to finesse the 10, as a diamond will come back, stranding me in dummy. If East has the A, I must then hope he started with four diamonds and three hearts.
Phil Clayton: I dont have time to double hook in spades. [Easts] club return strongly suggests 5-3 [or 6-2] clubs, which [may] leave me open to a trump promotion
Leigh Gold: [There are] not enough entries to take a repeating spade finesse.
Michael Kaplan: East [probably] has A-10-9-6 or A-6-5 using [standard leads], and his choice to force a club ruff makes 4-1 trumps likely. West must have the A, and I [expect] to lose one club, one heart and one spade.
Gerald Murphy: Play for split aces and trumps to be 3-2. If that is the case, I can come to 10 tricks via one spade, four hearts, four diamonds plus one ruff.
Geoff Croes: If the K loses to the ace, I may still be able to ruff a club with the dummys low heart.
Neelotpal Sahai: Leading spades directly will lose if I am unable to ruff another club (doesnt Easts club return ring a bell?). Yes, he probably has a doubleton (or at most three). If I take out two rounds of trumps, then I have to depend completely on the spade finesse.
Rahul Chandra: I can only draw one round of trumps first in case they win and lead trumps.
Greg Udvari: I need another heart in dummy to ruff a further club attack. I must play the K as I do not have the entries to mess around with the 10.
Geoffrey Toon: Assuming the most likely 3-2 trump break, I will make four hearts, a club ruff, and four diamonds. I need one more but do not have the necessary communication to get another club ruff; so Ill just play for the A to be well placed.
Howard Abrams: [Drawing two trumps] before before leading the spade [makes it easier for] the defenders to draw dummys last trump Also, Line C seems preferable to Line D; even though Line D is more likely to create a spade trick (West is 76 percent a priori to hold either or both of the Q-J), it almost guarantees the defenders will take two spade tricks and be able to force me to ruff a club with the Q, thereby [promoting] a trump trick in addition to two spades and a club.
Daniel Testa: I may need another club ruff, so draw only one round of trumps. I lead a spade to the king since leading to the 10 will give me two spade losers (unless West has Q-J) which means going down whenever trumps are 4-1.
Ron Landgraff: I really would like to ruff another club, but then I think a diamond goes away. The club return is suspicious (maybe East has A-x or A-x-x), but I dont think the odds are any better than West having the A.
Rainer Herrmann: Establishing communication outside of trumps. Line B may survive a doubleton A.
Radu Mihai: With trumps 4-1, I need a miracle, so the problem is to do the best assuming they are 3-2. If I win one or two trumps finishing in hand and lead spades, the danger is to lose two spade tricks. In this case it will be impossible to communicate with my hand and keep a low heart in dummy to guard against a club lead. Its better to play a spade immediately from dummy to prepare communication. Assuming spades are 4-3 (62 percent), Ill be able to ruff another club then to come to hand to finish trumps. Leading the 10 is better than the king because A-x in a hand is more likely than Q-J doubleton.
Steven Whitaker: Leaving open the option of the 10th trick (three trumps, four diamonds, two clubs ruffs) being either the K or the fourth heart. Drawing any trumps means I cant disentangle my entries in time.
Arvind Srinivasan: This gains [over Line A] in ace-doubleton cases, where the defense can organize a trump promotion if I play the K first.
N. Scott Cardell: Given a 3-2 trump break, I have nine tricks and the 10th will have to be a club ruff or a spade. Trying to finesse twice in spades requires more hand entries then I have, so I must either lead to the K or [pursue] a club ruff. If I cross to the K and lead a spade to the king, ace; East returns a trump, and it is too late to try for a club ruff [barring a miracle]. Trying to ruff a club [seems] better; if trumps are 3-2, I will normally [succeed] unless East has a doubleton club or West has 2-2 in the majors.
Frances Hinden: Planning eventually to ruff a spade to hand to draw the last trump. Playing the K on the next round gives opponents less control over who wins the spades (relevant if diamonds are 5-1).
Barry Rigal: If a defender wins cheaply and leads hearts, I win the queen and duck a spade. I win the next heart in hand, ruff a club, ruff a spade back to hand and draw the last trump
Bernard Danloy: I will need a spade ruff to reenter my hand, and I have to prepare it quickly, but an overruff could be fatal. So I must preserve K, which solves the problem when West has A-x in spades.
Bill Shutts: Coming to hand and leading a spade to the king wins against a few 4-1 trump breaks, but it loses against most normal (gentle) breaking hands when the finesse loses. Leading a spade [from dummy] wins when breaks are all normal. Leading the K might win when they misjudge and duck. (John Hubbell used to make plays like this against me when I was young. He would tell me the best way to dispose of losers was to lead them early.) Saving the K for the second round, [however, is technically superior].
Walt Schafer: Leading a spade from dummy just needs 3-2 trumps (four trumps, two clubs ruffs and four diamonds). The 10 is the right card to lead now; Ill lead the king on the next round when it may help most to restrict defensive options.
Sebastien Louveaux: Start to open communication to my hand in order to ruff a second club in dummy. [Assuming normal breaks in the other suits] this fails only if East has five spades to the ace (along with the A), which seems unlikely without a 1 overcall.
Frans Buijsen: Ill have to give up [two spades] to gain entry to hand anyway, and doing it now creates some slight extra chances in spades.
Matej Accetto: This line seems to guarantee success with no disastrous breaks. Trumps have to split 3-2, spades 4-3 (likely with no bidding from the opponents), diamonds no worse than 4-2 (if the defense leads diamonds) and [clubs no worse than 5-3]. The 10 is better [than the king] because [for one reason] East may fear I hold the Q and rise with the ace
Richard Higgins: I hope this puts pressure on East. [I need to] set up a spade entry to my hand.
Olivier La Spada: With the idea of losing two spades and one club. I need to create an entry to my hand in order to ruff one more club and get back to draw trumps.
Herbert Wilton: The K is a mirage; just play to ruff a second club. Leading the 10 is better than the king because there might be a doubleton ace in the layout.
Etienne Klis: I lead spades to open a ruff in hand for communication to draw trumps. The 10 is better, so I can lead the K next; then the defenders will not have a choice as to which hand wins the second spade.
Manuel Paulo: Lines A and B are winning lines almost whenever trumps break 3-2. I choose Line B (though less spectacular than Line A) because it may happen that I need an avoidance play, which will be possible by keeping the K.
Arindam Ray: This is the convenient way of gathering another club ruff and keeping control. [I will need] to get back to my hand with a spade ruff to draw trumps.
|4 South|| 6 4 3|
A 7 6 4
Q J 5 4
|Lead: Q||East plays 2|
| A 8 7 5 2|
10 7 6 4 2
OK, so you bid a lot. Now shut up and select your play:
|B. Win A; A-K; lead the Q||10||142||21|
|F. Win K; lead club to queen||8||151||22|
|A. Win A; A-K; duck a trump||6||266||39|
|C. Win A; lead the 4||5||36||5|
|E. Win K; A; ruff a heart||4||34||5|
|D. Win K; duck a trump||3||58||8|
Having overbid to a thin game, you are going to need some luck. You certainly need trumps 3-2, and probably diamonds 3-3; but you may be able to succeed against 4-2 diamonds if West has the doubleton along with three trumps. This is the case that requires careful timing.
Before ruffing a diamond, it is essential to lead clubs to break the enemy communication. Else, West can ruff the third diamond in front of dummy, then put his partner on lead with a club for another diamond ruff. Below is the typical layout to consider:
|4 || 6 4 3|
A 7 6 4
Q J 5 4
| K J 9|
Q J 10 8
K 9 7 3
| Q 10|
9 5 2
Q 9 8 3
A 10 8 2
| A 8 7 5 2|
10 7 6 4 2
The instinctive play is to win the K and lead a club toward dummy. Besides gaining control in clubs, this also has a chance of establishing a club trick (e.g., if West has A-x-x or K-x-x). Nonetheless, an extra club trick will be meaningless if you cant achieve your main objective of establishing diamonds. In fact, winning the K at trick one is an unrecoverable start; the loss of the entry will force you to lose trump control or suffer a trump promotion.
The proper play is Line B: Win the A, cash the top diamonds, and lead the Q (any club is OK, but no other choice was offered). Suppose West wins and returns a club, forcing you to ruff; then lead a third diamond. If West ruffs and taps you again, you can clear trumps (ace and another) leaving the defense without recourse. Note that a fourth club lead doesnt matter because you still have the precious K as a final entry. If West discards on the third diamond, simply ruff in dummy, return to the A and lead a fourth diamond.
The play of ducking a trump (Lines A and D) is a common technique with the actual trump holding, but here it gives up on the important chance of ruffing (or threatening to ruff) two diamonds in dummy. Note that the defense needs only to lead a second trump to foil you; or alternatively, after Line A, East could give West two diamond ruffs.
Gabriel Nita-Saguna: [Most lines] will succeed when diamonds are 3-3. I think Line B is best, as it will also succeed when West has exactly two diamonds and three trumps. I must play a club after cashing A-K in order to break communication between defenders and avoid two potential diamond ruffs by West.
Marcus Chiloarnus: This seems the best way to reduce Norths hand to rubbish, then it will match this contract.
Rob Stevens: To come to 10 tricks I need to score a long diamond without allowing the defense to win three trump tricks. Trumps must be 3-2, and if diamonds are 3-3 there is no problem. When diamonds are 4-2, West must hold the doubleton and three trumps, and if he ruffs ahead of dummy I must make sure he cannot reach East for a fourth diamond lead.
Charles Blair: Trying to cater to West having two diamonds and three spades.
Brian Lee: Hoping for diamonds 3-3, or West having a doubleton diamond and three spades.
Alex Perlin: You are just like my partner. He always wants me to shut up and select the best play. Of course, I do neither.
Rainer Herrmann: Cut communication, and this may even survive a few 4-2 breaks in diamonds.
Tonci Tomic: [This will produce] 10 tricks if diamonds are 3-3, or if West have two diamonds and three spades.
Walter Lee: It is best that I not make this contract; otherwise Ill never play in a part score again.
Gareth Birdsall: I need trumps 3-2. I will make if diamonds are 3-3; or if West has three spades and two diamonds, as long as I unblock diamonds (so I dont lose control) and lead a club as a scissors coup (else West can ruff the third diamond and lead a club to East for another diamond ruff).
Steven Whitaker: Why is this matchpoints? Youll get a near top if you make it and a bottom if you go down, so you play it the same as IMPs, dont you?
Nope, Im trying to win 12 tricks. Easy slam
First the Q holds, then an opponent revokes.
Craig Satersmoen: I only need spades breaking and diamonds 3-3, or West to hold three spades and two diamonds. I have to play the club to avoid West getting a second diamond ruff.
N. Scott Cardell: This may look like a crossruff hand, but the poor trump spots and side-suit distribution make that plan very unlikely to succeed. I have a reasonably good chance to set up diamonds and with correct play I stand to succeed when West has three trumps and two diamonds, as well as when diamonds break 3-3.
Stefano Biciocchi: Of course spades must be 3-2; and if diamonds are 3-3, no problem. It seems that cutting communications can win against three spades and two diamonds in West (preventing two ruffs).
Sergey Kustarov: This succeeds if diamonds are 3-3, or if West has three trumps and two diamonds. In the latter case I must guard against two diamond ruffs, so I have to break communication.
Nigel Guthrie: I hope to ruff diamonds in dummy, and this may survive some 4-2 diamond breaks.
Bill Powell: So my communication can floe when West has two diamonds and three spades.
Kent Feiler: As well as a 3-3 diamond break, Im going to try to make it when West has two diamonds and three spades. I have to lead clubs to prevent him from getting two ruffs.
Franco Baseggio: Im not too worried about undertricks, so Ill bank on 3-2 trumps and either 3-3 diamonds or West having three trumps and two diamonds. The club lead cuts communications.
Douglas Dunn: To make the contract, diamonds will have to be 3-3, or 2-4 with West having three trumps.
Barry Rigal: My plan is to ruff the club return and try to ruff a diamond. Ill need diamonds 3-3, or West to be short and have three trumps.
Bernard Danloy: West didnt find the killing trump lead. If he has three trumps and two diamonds, I cant let him ruff twice, so it is vital to cut the opponents communication.
Carlos Dabezies: There arent 10 tricks without setting up the diamonds and limiting trump losers to two. I want the K as an entry to ruff a diamond, and I must keep trumps in dummy in case West has two diamonds and three trumps.
Walt Schafer: The main chance is 3-3 diamonds and 3-2 trumps. The only extra chance I see is West having [three spades and two diamonds] where I can play diamonds through him effectively. If I dont play a round of clubs, West can ruff the third diamond and cross to partner in clubs for a fourth diamond lead.
Richard Stein: Ooh, I need quite a lot of luck, dont I? Well, the nice thing about play problems is Ill get all the miracles I need.
Matej Accetto: It seems that even with a perfect layout of clubs and hearts, ruffing those suits wont get me more than nine tricks. So, I have to develop the diamonds without losing a trick or by exchanging a diamond loser for a trump loser. If diamonds are 3-3, no problem. I can also make if East has Q-J doubleton, or if West has any two diamonds, provided the hand with two diamonds also has three trumps. In that case I want to sever communications to prevent two diamond ruffs hence the importance of playing clubs early.
Len Vishnevsky: I need either three spades, two hearts and five diamonds (with a ruff and a 3-3 break), or I need to elope with all four baby trumps in my hand and still ruff a diamond. So, I play to set up diamonds.
Etienne Klis: Of course I need trumps to be 3-2, but 3-3 diamonds is not absolutely necessary.
Manuel Paulo: While I am trying to set up the diamond suit, I should cut the defenses communications. Line B is the only winning line against Wests 3=3=2=5 and 3=4=2=4 distributions.
|5 South|| K J 7 3|
J 3 2
Q J 10 2
|Lead: A||East plays 5|
| A 9 4|
A 10 4
A K 8 7 6 5 4
You ruff the first trick and lead a diamond to the queen, both following. Your play?
|A. Win K; A||10||59||9|
|C. Ruff club; win K; lead spade to nine||8||186||27|
|E. Ruff club; lead spade to seven||7||106||15|
|F. Ruff club; win J; lead spade to nine||6||105||15|
|D. Ruff club; lead spade to jack||4||115||17|
|B. Ruff club; win K; A||2||116||17|
General principles suggest ruffing the last club as routine elimination technique; but as you might expect in a play contest, general principles tend to be unreliable. Your chances are certainly excellent after any of the finessing moves (Lines C-F), but no matter how you play spades, there is always a lie of the cards that can beat you. Line B is clearly the weakest attempt, as it fails against the common spade holding of Q-10-x-x in East.
Several respondents suggested an unlisted line that in practice would be superior to any of Lines B-F: Cross to dummy with a trump and lead a heart to the 10. If it loses, West must return a heart, then play low from dummy, win the ace and exit with a heart. This only fails if West has both heart honors and elects to return a heart (highly unlikely in practice) and East has both the Q-10. I wish I had thought to list it.
Congratulations to those who found the 100-percent play available only via Line A. I was brief to describe this line so as not to reveal its essence. The next move is to cross to dummy with a trump and lead the last club pitching your spade. A number of respondents commented that Line A won the spades in the wrong order (thus requiring an extra trump lead), which is true*, but the flip-flop was part of my deception. Either way is 100 percent, but the listed way is more likely to make Richard Nixon proud.
*Thanks to Tom Peters for pointing out that cashing the A first is indeed the superior play for an overtrick.
Here is one of many possible layouts, unlikely perhaps, but it illustrates the pitfall in Line C.
|5 || K J 7 3|
J 3 2
Q J 10 2
| Q 10 6 2|
A Q J 10 9 8
| 8 5|
K 9 8 6 5
K 5 4 3 2
| A 9 4|
A 10 4
A K 8 7 6 5 4
If you win the K and finesse the nine, West wins and has an easy exit in spades. You can still succeed, of course, but you have to guess right; there is no lock, even on the bridge certainty that West has at most two hearts. Note that you lack the communication to ruff the fourth spade and lead the J from dummy and (when covered) lead a heart toward the 10. If instead, you lead a low heart toward the jack, West will duck and youll need mirrors to drop his queen later.
With Line A there are no hitches. If West wins the club, he is endplayed: Either spade lead will establish a trick in dummy, and breaking hearts obviously loses. If East wins the club, he can lead a heart, which you will duck to West for the same endplay. Note that if East held Q-10-x-x, he also could not lead a spade (on the 10 you would just pitch a heart and claim), so he must lead a heart to West for a similar endplay.
Gabriel Nita-Saguna: Isnt this line a 100-percent safety play? Ill follow with a diamond to jack and play the remaining club discarding the small spade from my hand. Regardless of who wins the trick, the defense must open up the heart suit, promote another spade trick, or give me a ruff and discard.
Rob Stevens: This is a 100-percent solution, which our quiz master has cunningly disguised reenter dummy in trumps and lead the club, throwing the last spade.
Charles Blair: Claim the contract and put your cards on the table before you make a mistake. -Terence Reese
Brian Lee: Planning on crossing to dummy and leading the club, pitching a spade.
Anthony Golding: It looks as though theres a sure-trick line you sneaky devil, which youve hidden by the order of the spade tricks in Line A. I can cross to J and pitch my last spade on 7, then they must give me an extra trick no matter how the major cards lie
Walter Lee: It is bad style to waste a trump for no good reason. Happily that doesnt leave me with many choices.
Radu Mihai: [Continue with] a diamond to dummy, and lead the last club to discard the 9. No matter who wins and how they play after, Ill get an 11th trick. What can be better than 100 percent?
Erkki Malkamaki: Its 100 percent. If the Q or 10 drops, I have 11 tricks. Otherwise, I discard 9 on last club, and whoever wins must give me an extra spade trick, a heart trick or a ruff and discard.
Frances Hinden: This is 100 percent. I expect to lose a club trick.
Imre Csiszar: This is a tricky problem, since the sure-trick play ( A, K, then a club discarding a spade) is not listed. Still, [Line A] is equally good.
Nigel Guthrie: The sure-trick play is to [cross to dummy with a diamond and] discard the 9 on the 7.
Franco Baseggio: Very sneaky. [Cross to dummy] and throw a spade on the club. East can avoid immediate death by leading a heart, but then West has no winning option. This is 100 percent.
Douglas Dunn: Return to dummy with a trump and make the nice loser-on-loser play (lead the club and pitch a spade).
Bill Shutts: This is a trick question, right? Anyway, it is an old, old theme. So play A-K and, if nothing good happens, lead a club discarding a spade and claim 11 sure tricks. However, it does not cost on this layout to lead an extra round of trumps if you cash spades in this seemingly backward order.
For an old theme it appears to have worked pretty well! Note that 91 percent of the vote was rather evenly dispersed among the inferior options.
Brad Bart: Id really prefer to win the A first, then the king, [but either way], a club off dummy pitching my spade away forces an endplay in three suits.
Leonard Helfgott: I believe that cashing the A-K in either order followed by pitching the 9 (if the queen or 10 doesnt drop) on the 7 is a 100-percent play for contract. If East wins and returns a heart, I duck and endplay West; while the return of the 10 allows a heart discard I dont see how I can lose more than two tricks with this play, and it offers a slight chance of an overtrick.
Phil Clayton: And then pitch a spade on the club. Easiest of the set. Ive never seen a sure-trick line in your quizzes, and this may be the first.
Its all for the movie rights. Sure-trick lines add charisma,
and Ill soon be talking big bucks with James Cameron.
Richard Stein: To be followed up by crossing to the J and leading that last club, discarding a spade. Owwhh, thats gonna hurt.
Noyan Ekici: [Then] cross to dummy with a trump and a club, discarding a spade.
Len Vishnevsky: Tricky, since Id play A, K but the contract is cold [either] way.
|5 × South|| 10 3 2|
A 6 3
Q 7 3
J 6 4 3
|Lead: K||East plays 4|
| A K Q J 8 6 4|
10 4 2
K Q 2
You ruff the first trick and cash the A; West follows with the five and East the nine. Your play?
|E. Lead the 2||10||39||6|
|A. Win K; lead the 2||8||75||11|
|F. Lead the K||7||57||8|
|B. Win K; lead the K||6||273||40|
|D. Win 10; lead 3 to king||5||197||29|
|C. Win 10; lead the 3||3||46||7|
The bidding may not be to your liking, but it actually occurred in a local club game. As West, my final double was probably wrong; it was one of those impulsive doubles based on my table feel that South was overbidding. OK, so our game was sagging and we needed some tops. Fortunately, declarer did not find the winning line else I might be too aggravated even to look at this deal again.
From declarers standpoint it is obvious that West has the bulk of the missing high cards; certainly the A and A, and probably the K as well. The most obvious chance for an 11th trick is a squeeze against West in the minors, but the timing is wrong; not only do you have to force out the A, but you must lose another trick. Further, the entry condition in clubs is controlled by West, who can foil you simply by ducking the K; then if you continue with the queen, he can wipe out your entry.
This problem is deeper than many people realized. In order to succeed, you must pose a dual threat to the opponents. In other words, you need something up your sleeve besides the potential squeeze. This is realized in the form of several elimination and throw-in possibilities. Consider this likely layout:
|5 ×|| 10 3 2|
A 6 3
Q 7 3
J 6 4 3
| 7 5|
A K J 5 2
A 10 9 8
Q J 8 7 5
10 9 8 6 4
| A K Q J 8 6 4|
10 4 2
K Q 2
After ruffing the first trick and cashing one trump, you must not attack clubs nor draw a second trump. The key is to lead a heart early through West (Line E), forcing him to commit (unblock or not). This leads to two main variations:
If West plays the K, you will duck. Assuming a heart return (as good as any), win the ace and lead a club to the king, which West must duck to avoid the impending squeeze. Now you switch horses: Lead a low club to the jack, forcing West to duck again; ruff a diamond; cross to the 10 and ruff the last diamond. Finally, exit with a heart to endplay East. Note the importance of not drawing a second trump early, as the extra dummy entry was needed to strip the diamonds after West ducks the club.
If West plays low on the first heart, you will win the ace* and lead a club to the king. If West wins the A and cashes the K, he corrects the timing for the squeeze. If he wins the A and leads a black suit, you will win the K and eliminate clubs with a ruff; then West can be endplayed with the K, forcing a diamond lead to establish the Q. If West ducks the K, the endplay takes a different form: Draw the last trump and exit with a heart, forcing West to lead clubs back to you, else establish the Q.
*The danger in ducking is that East may win and find the killing return of a diamond, forcing you to ruff. Then West can banish the diamond threat entirely when he wins the A.
With three different throw-in possibilities and one squeeze, I guess this could be called a quadruple threat. Neat. Or maybe if you add Wests stupid double, its a quintuple threat.
John Reardon: If West has something like 7-5 Q-J A-K-10-6-2 A-10-8-5, I must duck a heart to him immediately, and East wont be able to overtake and lead another diamond. A heart is returned (best) and I play a club to the king. If West wins he will be squeezed in the minors, so he must duck. Now I lead the 2 and again West must duck [Endplay described.]
Gabriel Nita-Saguna: The most difficult problem of the set! It seems East is 5-5 (or 6-5) in the red suits to justify [the sacrifice bid]. Also, Wests double suggests he is holding, besides A-K and A, a high card in hearts. If he has the Q and they defend accurately, I wont be able to make this contract. However, if West has the K (doubleton or stiff), I will be able to set up either a simple squeeze in the minors against West, or an elimination and throw-in against either opponent, depending on their defense.
Rob Stevens: I would like to squeeze West in diamonds and clubs, but leading the K prematurely will allow West to destroy the communications. So a heart must be [led] immediately. Next when I lead to the K, West may duck (planning to win the Q and playing a third club as before), so I lead a low club to the jack instead; ruff a diamond; spade to dummys 10; ruff the last diamond, and exit with a heart, endplaying East. I cannot afford to draw a second trump immediately [else] I will not have enough entries to ruff out the diamonds while keeping a third trump in the dummy.
Charles Blair: If West has x-x K-x A-K-x-x-x A-x-x-x, play may continue: K ducked; heart to ace; club to king (ducked); club to jack; diamond ruff; spade (finally) to dummy; diamond ruff; heart.
Brian Lee: Ill assume East has a stiff spade. In this case, the only way this line loses is if East [wins the heart] and returns a diamond. I hope East will think I have A-K-Q-J-x-x-x-x x-x-x A-x.
Alex Perlin: Wests double is fully justified by my bidding on Problem 3. If he accidentally turns up with x-x K-x A-K-J-x-x A-x-x-x, he will live to regret his call.
N. Scott Cardell: At first glance this contract looks hopeless, but both the bidding and play suggest that West might be 2=2=5=4 and that West has the A and A. [I plan to] duck a heart to West, then: (1) If West returns a heart, win the ace and lead a club to the king, or (2) if West returns a trump win in hand and lead the K. (On a low club return, win in hand and cash a high spade to match the second case.) West must duck the K or I have him caught in a simple squeeze, so continue with the 2 [Endplay described.]
Weidong Yang: Think about the auction. I play West for K-x.
Stephen Turner: Setting up for the squeeze [against] West
Rosalind Hengeveld: Please dont tell me that expert defenders never fail to go up with K-x. Okay, go ahead and tell me to avoid triple negatives. :)
Bjorn Frimodig: Hoping that West will play small from K-x.
Larry Gifford: Start by ducking a heart. I hope ultimately to endplay East.
|6 NT South|| A 4 2|
A Q J 10
A 5 4 2
|Lead: 9||East plays 3|
| K J 5|
K Q 7 3
A K 9 7 4
|C. Win A; lead 3 to nine||10||72||10|
|B. Win A; lead J and let it ride||7||79||11|
|F. Win K; lead 4 to jack||6||354||52|
|E. Win K; K; Q||5||104||15|
|D. Win K; K; A||4||45||7|
|A. Win A-Q-J-10; K; Q||1||33||5|
Your chances are certainly excellent. Any occurrence of a 3-2 diamond break, establishing a club trick with one loser, or a winning spade finesse will secure the contract. Most respondents chose Line F, which is indeed the best way to play clubs for an extra trick (about 78 percent). The trouble is that it may allow East to gain the lead, then a spade shift will have a sinister effect.
Besides the aforementioned chances, there are also various squeeze possibilities, and therein lies the key to the solution. Line C (and only Line C) is 100 percent, as it must lead to a successful squeeze (simple or double) no matter how the opponents stoppers are placed. Consider this layout:
|6 NT|| A 4 2|
A Q J 10
A 5 4 2
| Q 7 6 3|
9 8 7 2
10 8 5 2
| 10 9 8|
6 5 4 3
J 10 9 6
| K J 5|
K Q 7 3
A K 9 7 4
After winning the A and finessing the 9, losing to West, suppose he returns a club (as good as anything). Next you will cash the K-Q to discover which opponent has the diamond stopper (East). Then cash the remaining top club, and when West follows you know that only West can guard clubs (else they are 3-3) so discard a diamond from dummy. (If West showed out of clubs, you would discard a spade from dummy and have a straight simple squeeze against East.) Now cross to the A and lead hearts to reach this ending:
|North leads|| A 4 2|
| Q 7 6|
| 10 9 8|
| K J|
The last heart inflicts a double squeeze. East much pitch a spade to keep the J, so you let go the 7; then West is squeezed in the black suits. There is no guess involved with your pair of sevens since you know which opponent protects each minor suit. Note that the J is immaterial in the ending, however, it did serve an important purpose. An early spade lead by East would destroy the entry condition necessary for the squeeze, which is why the club trick had to be lost to West.
Line B is flawed because East will cover the J, forcing you to win (else suffer a spade shift); now you cant return to dummy for a second club lead without damaging a critical entry. (This flaw does not exist in Line C because, if the 10 appears from East, you have a lock.)
Suppose diamonds were stopped by West instead:
|6 NT|| A 4 2|
A Q J 10
A 5 4 2
| Q 7 6|
9 8 7 2
J 9 8 6
| 10 9 8 3|
6 5 4 3
Q 8 6 5
| K J 5|
K Q 7 3
A K 9 7 4
The first five tricks would be the same. When you lead the top club at trick six, West would show out, and you would discard a diamond* from dummy knowing the double squeeze was on. If West followed to the third club, you would discard a spade either clubs split or West is ripe for a simple squeeze.
*Optionally, you could discard a spade and use the 5 as the threat against West and your own third spade as the common threat. This option does not exist when the minor stoppers are reversed (i.e., in my first example) because doing so would place both of your singly guarded threats in front of the enemy stoppers. (A required condition of any double squeeze is to have at least one of your three threats behind each opponent.)
This layout also shows why cashing two diamonds early is wrong. When you duck a club, West will return a third diamond to kill your entry in that suit, and along with it, your guarantee. It is true that you can still survive at double-dummy, but you must guess which squeeze to play for.
The recommended play also has a chance for an overtrick ( Q-10 onside), though admittedly not as good as the matchpoint play of testing diamonds first then, assuming they break, taking the spade finesse. Nonetheless, I doubt there is an expert in the world who would suggest the latter play at IMPs. Imagine blowing 17 IMPs and then trying to explain your superior technique for an overtrick to your teammates; or should I say, ex-teammates. No thanks.
John Reardon: Another deceptive hand because I must play clubs in an inferior manner to ensure the contract. If West wins 9 with the 10, he can return a heart (best) and I throw the 4. Then I cash K-Q and claim if they are 3-2, else I cash A-K and [all squeeze variations described].
Gabriel Nita-Saguna: Another 100-percent safety play! If diamonds are 3-2 or clubs 3-3, any line will succeed. If the same defender has length in both minors, a simple squeeze is [exists]. The most [awkward] situation arises when West has the Q, diamond shortness, and 10-8-x-x. In this case only a certain type of double squeeze will succeed, which requires communication to both hands using the spade suit. So the main idea is not to lose a trick to East, as a spade return can damage this squeeze. I think that in the given case only Line C will succeed.
Rob Stevens: Another sure-trick problem. I should rectify the count by ducking a club; then cash K-Q and two top clubs. Provided no spades have yet been played, I can always arrive at a simple or double squeeze. The club must be lost to West (who cannot lead a spade); if East were to lead a spade, I wouldnt know whether to win in hand or in dummy.
Charles Blair: In a similar situation, Terence Reese put his cards back in the board, saying You dont really want me to play this, do you? The important thing is to cash K-Q before the third round of clubs. If the minors are controlled by different opponents, [I will have] a double squeeze. A for Avoidance -George Coffin (Mr. Coffin would also have liked Problem 4).
True. I also heard these two writers have a new book out:
Reese from the Coffin. (Ooh, thats bad.)
Brian Lee: Setting up a squeeze. I need to duck a trick without letting East lead spades. If East inserts the Q or 10, Ill [have a sure] 12th trick in clubs.
Rainer Herrmann: This seems to guarantee the contract. [Once I] find out who stops clubs [and diamonds] without letting East gain the lead, I will know which squeeze (simple or double) to play for.
Anthony Golding: This wins straightaway if East has the 10, and there should be a simple or double squeeze [otherwise].
Walter Lee: A safety finesse to guard against miscounting tricks. If the club finesse wins, Ill take the spade finesse. If that also wins, Ill pray for clubs 3-3. If all that happens I ought to be able to take 12 tricks.
Gareth Birdsall: The 100-percent squeeze recipe: Step 1: Duck a club to possibly establish a 12th trick, and also rectify the count. Step 2: Test diamonds by playing K-Q. Step 3: Test clubs with A-K, discarding a spade from dummy unless East has long diamonds and West follows to the third club [then discard a diamond]. Step 4: If the same opponent has length in both minors a simple squeeze; if different opponents guard the minors a double squeeze. [The latter shows] why I need to lose the club trick to West so he cannot attack the double spade entry. Step five: Write down minus 1 IMP when diamonds are 3-2 and the spade finesse works and throw the remainder of the match, trying to calculate if your counterparts line was inferior by more than 1 percent.
Radu Mihai: If West wins the 10 and leads a heart (for example), discard a club then win the K-Q. If West has the diamonds, win the A-K with a spade discard and finish with a simple squeeze in the minors against West ( A, hearts, K) or with a double squeeze ( A, hearts). If East has the diamonds, win the A-K and discard a spade if West shows out and finish with a simple squeeze ( A, hearts, K) or a diamond if West follows and finish with a double squeeze ( A, hearts). Another 100-percent line.
Erkki Malkamaki: [Not the best play] for an isolated club suit, but a spade lead from East would kill some of the double squeezes.
Steven Whitaker: I can actually claim six at trick one, but the explanation would take longer than the play. [Description of all squeeze variations.]
Craig Satersmoen: So many possibilities; makes my head swim. Cant afford a spade shift by East though.
N. Scott Cardell: This is 100 percent. Assume West wins the 10 and makes the best return of a heart, and I discard a club. Then cash the K-Q to see who holds four then cash the A-K If the same hand has long clubs and diamonds, discard a spade; cross to the A; cash the remaining hearts discarding a spade and a diamond; then cross to the K squeezing the opponent with the minors. In the more likely event the minors are held in opposite hands, discard a diamond on the second high club and cross to the A to [finish the hearts] for a double squeeze. [Ending described.]
Note that the descriptions by Mihai and Cardell are both correct despite the conflicting choice of discards in one situation. Each has simply chosen a different path in the optional case.
Frances Hinden: This guarantees the contract. I need to lose a trick to West to preserve the spade holding for a later double squeeze.
Neil Morgenstern: [Description of squeeze variations.] If East guards diamonds and West clubs, I cross to dummys diamond and play hearts [for the double squeeze] then I can win the last trick with dummys small spade make it the two to be flashy.
Nigel Guthrie: If I dont mind wasting a lot of time in explaining a sure-trick play, I could claim. [I will] win any return and cash K-Q then A-K to decide which simple or double squeeze to play for.
Bill Powell: Then K-Q, followed by two more clubs discarding a diamond unless both minors are in the same hand [then a spade].
Kent Feiler: Wow, nice hand! I think this is 100-percent cold because I can always figure out which squeeze to run. I take K-Q first to see who has the stopper, then A-K. Both [stoppers] in the same hand leaves a simple squeeze; [if they are split], a double squeeze.*
*Yep, nothing slips by Kent. We were Army buddies in West Germany (1965-66). Kent was already a good bridge player (100 masterpoints if I recall to my zero) and he taught me a lot about the game, especially squeeze plays. In reciprocation I taught him to be a pool player (part of my misspent youth).
Franco Baseggio: Another 100-percent line, aiming for an automatic minor-suit squeeze (if someone has four of each minor) or a double squeeze using dummys long spade if the minor-suit lengths are in opposite hands. A club to the nine is the only way to rectify the count because a spade through by East might wreck the entries for a double squeeze. [Play sequence described.]
Douglas Dunn: A double squeeze should be on as long as East is not able to lead spades. After cashing K-Q and A-K , if one defender guards both minors, [I have] an automatic simple squeeze. The defenders cant sink this contract!
Bernard Danloy: The most beautiful problem of this contest and a true splendor for squeeze lovers. The line is 100 percent. I just need to localize the long clubs and long diamonds (if any). If one opponent has both, he is squeezed at trick 12 if I have A-x opposite x x with the lead in South. Otherwise, a double squeeze The [main concern] is in the timing (check diamonds before clubs) and communication.
Bill Shutts: This is a pretty construction. I can claim on the finesse of the 9. If West wins the 10, he cannot attack spades to break up a potential double squeeze. Assume West returns a heart; win in dummy throwing a club and cash the K-Q; no matter who shows out, cash the A-K. Since West must play before dummy, there is no ambiguity, and I will always know whether to prepare for a simple or double squeeze.
Sebastien Louveaux: Ducking a trick to West (who cannot remove a spade entry) to rectify the count. Then, set up a squeeze depending on who guards which suit (the contract is 100-percent safe). Actually, after taking the lead back, I need to test diamonds first to know what to discard on the third club.
Bruce Scott: I choose to play for the squeeze. I can find out who has the minor-suit guards. If they lie in one hand, then a simple squeeze will do. If they are split, I can use spades as the common threat in a double squeeze. I cannot lead toward the J because East might return a spade, which mucks up the double squeeze. I cannot run the J because [if covered] I dont have the spare entries to cross again and lead toward the nine.
Tim Bolshaw: If West wins the 10, I will next cash K-Q followed by A-K, then: (1) If West has diamonds, discard a spade; if West hold clubs, minor-suit squeeze; if East, no one can guard spades. (2) If East has diamonds and West discards on the third club, discard a spade; minor-suit squeeze. (3) If East has diamonds and West follows to the third club, discard a diamond; then reduce to A-4-2 10 opposite K-J 7 7 for a double squeeze.
Anne Bell: If either opponent has both minors, he can be squeezed. If each opponent has a minor, it will take a double squeeze (with spades the common suit). To allow for both possibilities, North must keep an entry in diamonds and both hands need a spade entry. Therefore, East must not be allowed to lead spades when I rectify the count. Only Line C covers all these possibilities.
Robert Larsson: 100 percent. Win any return (if a heart pitch a club) and win K-Q. If diamonds dont break, win A-K. If clubs dont break either, set up the necessary simple or double squeeze.
Chuck Arthur: Of course diamonds arent breaking or you wouldnt be giving this as a problem. [There seem to be] three squeeze possibilities: simple minor against West, same against East, or a double squeeze with the 4 in dummy as the common threat. The vigorish is to make the play that lets me know which squeeze to operate.
Olivier La Spada: There are several possible squeezes, but for the double squeeze I have to keep spades [untouched] until I know who has what. So, I have to force West to win the trick to rectify the count, and the only 100-percent way is Line C.
Use of a comment does not necessarily mean I agree with it, but generally they are all worthy. Comments are quoted exactly except for corrections in spelling and grammar. Where I have included only part of a comment, an ellipsis ( ) indicates where text was cut. Text [in brackets] was supplied by me to summarize a cut portion or fix an omission. Comments are listed in order of respondents rank, which is my only basis for sequencing. I am confident that my lengthy study of these problems (combined with the input of comments) has determined the best solutions in theory. Nonetheless, it is possible that I overlooked something. Anyone who wishes to debate the analyses, or thinks there is a reason for a scoring adjustment, is welcome to e-mail me (firstname.lastname@example.org).
Thanks to all who responded, and especially those who offered kind remarks about my web activities. Guess what? This captain is outta here no way am I going down with the ship so youre now in the hands of the bumbling crew:
Anthony Golding: I assume youll be ranking women and children first.
Rainer Herrmann: A distant relative of mine was immediately upgraded to first class when the water started to come in. Does this count?
Jim Brennan: I gave my seat on the lifeboat to a dude in drag; life aint fair.
Richard Stein: Just when I thought we had finally moved past Titanic and Celine Dions song, they strike once more.
Bill Cubley: Lets hope I dont go down faster than the Edmund Fitzgerald did in Lake Superior. It just vanished from the radar screen, much as my choices sometimes do in these contests. At least I hope to maintain my lead as the best scoring graduate of Cody High School in Detroit (apologies to Douglas Ogozaly whos in second place).
© 2002 Richard Pavlicek