Analyses 8Y56 MainChallenge


I Walk the Line


Scores by Richard Pavlicek

These six problems were published on the Internet in July 2007 as a contest open to all bridge players. On each problem you are declarer in a spade or club contract and had to choose your line of play from the choices offered.

Problem 123456Final Notes

While this contest was under way, I reminisced about the ways Johnny Cash has touched my life besides the obvious song enjoyment. As a teen, one of my favorite TV series was The Rebel, starring Nick Adams, and I didn’t even realize at the time that its theme “Johnny Yuma, was a Rebel…” was written and sung by Cash. I also enjoyed the Columbo episode with Cash in the role of a villain, which he played to the hilt. And even my favorite Christmas song, “I Heard the Bells,” is awe-inspiring as recorded by Cash.

With all good there’s some bad, and Cash was no exception with his drug addiction. He was even jailed a few times (no, not Folsom Prison) for drug possession but released in a day or two. One of his greatest hits, “Ring of Fire,” was purportedly based on his personal torment with drug dependence, and the lyrics certainly back it up. At least he was able to overcome his addiction, unlike some other superstars like Elvis or Marilyn.

“I find it very, very easy to be true…”

Well, not really. In fact I find it very, very difficult, but now is the time to come clean. I suffer from withdrawal symptoms. I went to my bank to withdraw $100 million for the winner of this contest, but it wouldn’t fit in my car. I had to buy a truck! After loading up, I drove home and faced another obstacle: Google Maps won’t give me directions to Poland! Oh well; I tried. Sorry, Darek.

Darek Kardas Wins!

This contest had 690 entrants from 110 locations, and the average score was 39.54. Congratulations to Darek Kardas (Poland), who was the first of four to submit perfect scores. Darek is a past winner in this series (March) and a two-time winner in my old series, as well as the top participant in the top location (Poland invariably tops the location ranks). Also scoring 60 were Ding-Hwa Hsieh (Missouri), Jerry Fink (Ohio) and Zoran Bohacek (Croatia) — nice, I like that ‘cek’ ending. Just a point back at 59 were Lajos Linczmayer (Hungary), Joanna Sliwowska (Poland), Jacek Masiarek (Poland), and finally not from Poland, Jonathan Mestel (England).

Well, I guess I’m the one who fell into the ring of fire, as once again the participation is down, down, down, and it burns, burns, burns. Depressing, but I’ll get even! Fritz will be your partner for Halloween.

The average score (39.54) was about a point below the 2007 average (40.63) and a shade below the old series average (39.66). Only 331 persons scored above average (40+) to make the listing. Two problems were aced by the consensus, and the consensus scored 46. Three problems warranted a 9 score, and two were exceptionally close. Indeed, Problem 1 unveiled a different solution than I originally expected.

In the overall standings, Ding-Hwa Hsieh retained her top spot (not surprising with four 60s in a row) with a 59.50 average. Close behind with 59.25 are Darek Kardas and Lajos Linczmayer, followed by John Lusky (Oregon) with 59.00 and Carsten Kofoed (Sweden) with 58.75. Next with 58.50 are Leif-Erik Stabell (Zimbabwe), Jerry Fink (Ohio) and Rainer Herrmann (Germany).

Several people noted the 2005 film Walk the Line starring Joaquin Phoenix, which I’ve seen but was disappointed. It’s always hard to accept an actor’s portrayal of a familiar person, and the musical bits seemed to lack the gusto and intensity of Johnny. And Reese Witherspoon as June Carter? Sorry, but she’ll always be Legally Blonde at Harvard for me — unless she becomes a bridge writer to revitalize “Play Bridge with Reese.”

Bidding is standard (except as noted) and your opponents use standard leads and signals.
For a reference see Standard American Bridge. Assume all players are experts.

Each problem offered six plausible lines of play (A-F). 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 received.

Analyses 8Y56 MainChallengeScoresTop I Walk the Line

Problem 1

IMPs
None Vul
S Q 9 8 4
H A K 2
D Q 8 6
C K 10 5
West

2 D1
3 H
All Pass
North

Pass
3 NT
EAST
1 NT
2 H
Pass
South
Pass
3 C
4 C
Lead: H 10TableEast plays H 5



4 C South
S A 5 3
H 3
D 10 3
C Q 9 7 6 4 3 2
1. Jacoby transfer

After winning the H A:

Next PlayAwardVotesPercent
C. Win H K (pitch diamond); ruff heart1033849
E. Ruff heart; lead C Q9172
F. Ruff heart; lead C 377711
A. Win H K (pitch spade); ruff heart5538
D. Win H K (pitch diamond); run C 10418327
B. Win H K (pitch spade); run C 102223

Surprisingly, the unusual auction ends calmly in 4 C. Perhaps you should have passed partner’s stab at 3 NT, but this would fail if East has five diamonds (likely) or if West has a king. Pulling to 4 C was sensible because your ragged suit is atypical for the bidding. Usually when you pass 1 NT and bid a minor later, it’s because your suit is solid (or easily established with an entry) based on the logic that you were willing to defend notrump. In any case, what’s done is done.

Assuming six club tricks, you have nine tricks in top cards; and it appears you must win the S Q to succeed. If West has the S K, this is easy; but if East has it (likely), you will probably need an endplay. Alternatively, you could play East for S K-x, or West for S J-x or 10-x*; but these are long shots. West’s shape is almost surely 3=6=3=1, as with any wilder distribution he wouldn’t sell out to 4 C. Consider the following layout.

*Lead low to the eight (intrafinesse), then run the queen.

IMPsS Q 9 8 4TrickLead2nd3rd4th
None VulH A K 21 WH 10A53
D Q 8 62 NH K7D 36
C K 10 53 NH 2JC 28
S J 10 2TableS K 7 64 SC 38KA
H Q 10 9 8 6 4H J 7 55 ED K1026
D J 7 2D A K 9 5 46 EC JQH 410
C 8C A J7 SS 3JQK
S A 5 38 ES 65104
H 3Declarer fails
D 10 3
4 C SouthC Q 9 7 6 4 3 2

After winning the H A, suppose you follow the popular Line C, pitching a diamond on the H K and ruffing a heart; then lead a club to the king and ace. No good. East will cash one top diamond then exit with a club. If you next lead a low spade, West will play an honor*; and if you duck, he will exit safely with a diamond. If instead you run trumps, you have no diamond left to endplay East.

*If East has S K-J-x or K-10-x, the endplay will work, since you can duck the trick to East (or cover if West plays his honor).

Aha! Instead of pitching a diamond on the H K, suppose you pitch a spade (Line A); then when East wins the C A, he cannot cash both diamonds (else dummy’s D Q is good). If East cashes one diamond and exits with a club, you will run all your trumps to reach S A-5 D 10 opposite S Q-9 D Q. Then if East keeps S K-x, he is thrown in with a diamond.*

*Guessing the ending should not be a problem, as East should be 3=3=5=2 based on the bidding.

Oops. The problem with pitching a spade (Line A) is that you will fail whenever West has the S K, which is certainly plausible — in fact, it could be the reason East didn’t go to 4 H (looking at S J-x-x or worse would be a deterrent). West could just as easily have a hand like S K-J-x H 10-9-8-x-x-x D x-x-x C J, since the H 10 lead is ambiguous. It is also arguable that a suit headed by 10-9 is more likely, since leading from the queen adds a risk (North may have the H K and South a blank jack).

Line C is good (far better than Line A), but I felt there was a better play that would eliminate failure when East has S K-x-x as in the diagram. If you can discover who has the H Q before you pitch, you will locate the S K. That is, if West has H 10-9-8-x-x-x, he should have the S K; but with H Q-10-9-x-x-x, East should have it.*

*Assuming East has D A-K; else the S K would have to be with East, and there would be no endplay chance with West having a diamond entry.

On this reasoning, I expected the top award to go to Line E. After ruffing a heart at trick two (without cashing the H K) and leading the C Q (unblocking the 10), East is obliged to put you in dummy. Suppose he takes the first club, cashes one diamond, and leads a club to the king. Then the H K will reveal East’s holding.* In the diagram, you will discover East has H J-7-5 and pitch a spade, then run trumps for the strip squeeze. If East shows up with H Q-J-5, you will pitch a diamond and play West for the S K.

*East should play the H J (card he is known to hold) on the second round, so only the third round will reveal if he has H Q-J-x or J-x-x.

“I keep you on my mind both day and night…”

As always, before completing the award table I read comments pertaining to the viable options, especially from participants with proved ability; and this time I was persuaded to demote my choice. Line E has two glitches: (1) East might foresee the endplay and lead a spade from the king (you can’t safely duck since you still have two diamonds) to make you think West has the S K and go wrong, and (2) West might have S 10-x-x H 10-9-8-x-x-x D J-x-x C A, in which case only Line C works.*

*West holding a blank C A is more likely than it seems, as it would account for both opponents being conservative. Note that some Easts would bid 4 H with hands like the diagram, even after North’s 3 NT.

What about leading a low club (Line F) after ruffing the second heart? Not as good. Whenever East has C A-J and the S K, he can defeat you by winning and returning a club to your queen. Then you have to lead a third trump to reach the H K, and can’t return to hand to run trumps.

What about the case of a 3-0 club break? Too far-fetched to consider. If West had a club void (say, 3=6=4=0 or 3=7=3=0), would any reputable player sell out to 4 C? Not in my experience. Indeed, over 3 C, I like a pressure jump to 4 H (unless it’s a slam try of course) as many good things can happen: It might make; it might stampede North into a phantom sacrifice; and it may be down one versus a makable 4 C. Thus, running the C 10* only seems to cater to wimps, though East might save you by hopping with C A-8 and the S K trying to avoid an endplay, not expecting West to have a club honor.

*Several respondents also pointed out that, if you plan to run the C 10, it would be better to do it at trick two (without cashing the H K) to retain flexibility. True. I probably should have included that option but chose the parallel structure.

I’ll take a close second for Line E, thank you. I wish I could take 9.9, but PavCo doesn’t deal with fractions — even my diamond cutters throw away anything less than a carat.

Third place goes to Line F, which works just as well as Line E when West has a stiff C J (or if West has the S K). Fourth place goes to Line A, which only works when East has the S K.

Running the C 10 is the least deserving. Between Lines B and D, it is much better to pitch a diamond (Line D), analogous to Line C vs. Line A, as well as greatly favored in the voting.

Comments for C. Win H K (pitch diamond); ruff heart

Jerry Fink: … With a void in clubs and 6-7 hearts, West would have continued to 4 H. It is important to get a read on hearts and clubs before committing to a play in spades, [then] if the S K must be with West, the rest is easy. If East has the S K and cashes a high diamond before exiting with a club, I will fall back on the 75-percent chance of leading a low spade and covering West’s play to endplay East. …

Rainer Herrmann: The 10th trick will have to come from spades, but entries to dummy are in short supply. Some sort of endplay against East [may] be needed. …

Carsten Kofoed: I’ll get some information about West’s distribution and points — I believe 3=6=3=1 and 4 HCP, else they could make 4 H. Later I must decide whether to play a spade to the eight, endplaying East; or to the queen. …

Joon Pahk: I’ll let the opponents help me out in the black suits.

Steve White: It looks best to play West for the S K; and once committed to that, I might as well cover all club combinations by starting low toward dummy. If West produces the C A, I retain the slight chance that he’s 4=6=2=1. Line A could please the fans, catching East with the right holding, and guessing the end position to endplay him; but with many of those holdings East would have bid 4 H.

Neelotpal Sahai: If trumps are 2-1 and East has S K-J-x-x or K-10-x-x, a finessing position in spades will develop.

Manuel Paulo: Consider this possible East hand: S K-J-x-x H Q-J-5 D A-x-x C A-J-8. Next I will lead the D 10, then [after ruffing the diamond return] I will take an intrafinesse in spades.

Adrian Barna: Difficult to follow all possible cases, but this seems to work in most; e.g., if East has S K-J-x-x H Q-J-x D A-J-x-x C A-x, or S J-10-x H J-x-x D A-K-J-x C A-J-x. I’ll continue with a low trump to the king.

N. Scott Cardell: If I don’t discard a diamond, I [may] lose two diamonds, a spade and the C A; and I also want to find out where West’s 3-5 HCP are (he may have H Q-10-9-x-x-x or 10-9-8-x-x-x) without closing any options. Next I will lead a trump to the king and be well-placed to find the best line. For example, if East has H J-x-x and C A-x, then West has the H Q and C J and shouldn’t have an ace or king; so I’ll [play] to endplay East.

Dale Freeman: It might be correct to run the C 10 — but I can’t bring myself to do that!

Sebastien Louveaux: Stripping East out of his hearts to prepare an endplay.

Roger Sun: I hope West has the S K, and I will protect against East having all three trumps.

Frans Buijsen: After the heart ruff, I’ll play a club to the king [in case] East has all three, in which case I’ll need the S K with West.

Perry Groot: … Best way to avoid two spade losers seems to be an intrafinesse [after] eliminating the red suits…

Toby Kenney: I’ll next lead a club to the king, win the club return, and lead a spade to the nine to endplay East when he has the S K, D A-K and C A.

Ulrich Nell: Followed by a diamond, hoping to endplay East later when I lead a spade to the nine.

Jonathan Ferguson: Hopefully, this is one time that the obvious line is correct. I hope West has S 10-x H Q-10-9-x-x-x D K-x-x-x C x.

Mark Kornmann: Removing East’s heart exit before leading a club to the king will more or less endplay East (unless the diamond honors are split); but I’d like the option to dump a second diamond if East shows up with the H Q at trick three.

Thibault Wolf: This can also win if East has C A-J-8, as he may be endplayed…

Barry White: East might hold something like S K-J-x-x H Q-J-x D A-J-x-x C A-x, in which case an intrafinesse of the S 9 followed by running the S Q will work. I need clubs to be 2-1 for the entry.

Debbie Cohen: Close among Lines A, C and F. Discarding a diamond is better than a spade,…as I avoid going down immediately if West has the D K, and the ending…will offer more choices. As for playing trumps, leading to the C K seems better than running the 10, as East [may be] endplayed if clubs are 3-0 and he has the S K and D A-K.

Brad Theurer: I will likely need the S K with West (his lead could be from H Q-10-9 or 10-9) and he may have a singleton C J, so this improves over Line D. If East has C A-J-x, I can get to dummy eventually with the S Q to pick up trumps. This also preserves endplay possibilities if clubs are 2-1 and East has D A-K and S K-J-x (or K-10-x), but I may have to guess the spade layout.

Franco Chiarugi: There is no reason to run the C 10 early. If East has C A-J-8 and S K-J-x-x (or K-10-x-x), I can succeed if the D A and D K are split.

Gerald Cohen: Stripping the hand, and eventually leading a spade to the nine.

John Cunningham: I may try an intrafinesse in spades, depending on the diamond and club lies.

Julian Wightwick: Then draw trumps, hoping they break, and get out with a diamond. I will eventually take the intrafinesse in spades, unless I learn that West has more than two spades.

Micah Fogel: … This will likely strip East of hearts; then I will lead a trump to the king, [maybe] endplaying East with C A-J-8. …

Steve Moese: Next I will lead to the C K to clarify the trump position (East has either two or three clubs). If opponents don’t break spades, I’ll lead low to the eight…

Mauri Saastamoinen: West could have a hand like S 10-x H 10-9-8-x-x-x D A-J-x-x C x, or he could have the S K instead of the D A. How will I know? I will try to suck as much information as possible before I have to decide… I plan to play the C Q next, so if East takes and returns a trump, I can win in dummy and play a diamond.

Suresh Adina: I might make the contract with three losers (C A, S K and a diamond) by endplaying East with a diamond. East is likely to have all remaining points except the H Q and a [few] jacks.

D.C. Lin: I will put all my eggs in one basket: the intrafinesse in spades.

Is that a bridge strategy? Or a method of contraception?

Roger Morton: Next I’ll play a club to the king, and East will have to get off play with a club. When trumps are 2-1, East will be endplayed when I later play a low spade, covering West’s card.

Dmitri Shabes: [Probably] I will play West for S J-x or 10-x.

Okan Ozcan: East will be endplayed if clubs are 2-1; when he exits with a club, I will play a spade to the nine.

Len Vishnevsky: I want to lead trumps from hand, so I won’t have to guess a singleton C J on my left.

Anthony Golding: This looks like the best way to avoid four quick losers, and next I play a trump to the king. Ultimately, I may take an intrafinesse in spades, or lead up to the S Q, depending on where the other honors are.

Junyi Zhu: I will try to eliminate both red suits, and endplay East in spades.

Barry Rigal: I’m hoping for some sort of endplay down the line when East has a hand like S K-10-x-x H J-x-x D A-K-x-x C A-x.

Bill Powell: Then the C 3. Looks like I need West to have the S K.

Comments for E. Ruff heart; lead C Q

Lajos Linczmayer: West likely has six hearts, say, S J-10-x H Q-10-9-8-7-x D J-9-x C x; but he might have competed with S J-10-x H Q-10-9-8-7 D J-9-x-x C x as well. … To control the play, I must lead clubs before discarding on the H K; and I will unblock the C 10 to avoid entry problems.

Jonathan Mestel: Unblocking the C 10. If East has all the trumps, well, even Johnny Cash went “down, down, down.”

Analyses 8Y56 MainChallengeScoresTop I Walk the Line

Problem 2

IMPs
E-W Vul
S A 5 2
H A 5 4 3
D 4 3 2
C J 6 3
WEST
2 D
Pass
All Pass
North
Pass
3 S
East
Pass
Pass
South
2 S
4 S
Lead: D KTableEast wins D A



4 S South
S K Q J 10 6
H 2
D 6 5
C A K 7 4 2

East returns the D 7 to the eight; then West leads the D J, East pitches the C 8, and you ruff.

Next PlayAwardVotesPercent
E. Win C A; S A1013419
B. Win S K; S Q719028
C. Win S K; C A; S A613620
A. Win S K; S A511917
D. Win S K; C A; H A4578
F. Win C A; H A3548

Surprise, surprise. You reached a sound contract, virtually laydown on normal breaks, so perhaps you can walk a wider line. Maybe not, as East makes a foreboding club discard on the third diamond. Could East have made a mistake and discarded from club length? Hardly, as he rates to have a safe discard from five hearts (West would rarely have four hearts for his 2 D bid). More likely, East has a doubleton club and is shortening himself to threaten a ruff.

The above evidence is clearly supported by West’s suit preference for clubs: He won the second diamond as cheaply as possible (D 8) and returned the lower (D J) of equal cards.* This strongly suggests the C Q, since he would hardly indicate club preference with a singleton (he’d probably lead it). If West’s C Q is guarded, he is likely to have a singleton trump, as in the following layout.

*West is known to have the D Q, so he can safely lead the D J without concern. On the bidding, it is arguable he could lead any lower diamond; but this might be described as torture. East has enough to think about without wondering if West chose to open with D K-Q-10-9-8 then decided to force East on lead with a diamond ruff.

IMPsS A 5 2TrickLead2nd3rd4th
E-W VulH A 5 4 31 WD K2A5
D 4 3 22 ED 7683
C J 6 33 WD J4C 8S 6
S 7TableS 9 8 4 34 SS K723
H J 9 7H K Q 10 8 65 SC A539
D K Q J 10 9 8D A 76 SS 10D 9A4
C Q 10 5C 9 87 NC 6H 6K10
S K Q J 10 68 SC 2QJH 8
H 29 WD Q!S 5H 10!C 4
D 6 5Declarer fails
4 S SouthC A K 7 4 2

After ruffing the third diamond (East pitches the C 8*) you cannot afford to draw trumps with the anticipated 4-1 break, but must keep a trump in dummy to prevent being tapped again. Suppose you win the S K and C A, then cross to the S A (Line C) to reveal the trump lie, and lead a club from dummy. East will discard a heart (ruffing gives you an easy claim), so you win the C K and give up a club to West. All appears cozy now. Not! West will lead another diamond, ruffed in dummy, but East will not overruff. Stranded in dummy, you cannot reach your hand without tapping yourself, so East gets a trump trick. Down one.

*From this discard, some respondents assumed East would have C 8-5, but I doubt an expert would deliberately paint a picture; so I would expect 9-8 or 10-8 — else a singleton (ouch).

“For you I know I’d even try to turn the tide…”

To turn the tide in your favor, you need two trumps in dummy — one for the diamond ruff, and one to return to hand. Therefore, you must rely on inferences rather than discover the 4-1 trump break. Cash the C A and cross to the S A (Line E) then lead a club. It seems clumsy to waste two trump honors on the same trick, but it’s necessary; you can’t cross to the H A, as this subjects you to a heart tap. If the defense goes the same way, you have an easy path to your hand to draw trumps and claim.

Curiously, all other plays are equally inferior — at least I couldn’t determine a difference based on the compelling evidence that West has C Q-x-x. All succeed when trumps break, and all fail by a trick when East has four. Rather than go into cases where the defense has erred or strayed, I find it very, very easy to be true — to the voting, that is. Besides, I just got through a difficult analysis of Problem 1, so I’ll take the easy way out on this one.

Comments for E. Win C A; S A

Jerry Fink: West almost certainly has C Q-10-x. Danger to avoid is a 4-1 spade break, and I will get locked in dummy if I cash two spades too early.

Lajos Linczmayer: If East has four spades and two clubs, I must preserve two spades and the H A in the dummy.

Jonathan Mestel: I need a trump exit off dummy if East has S x-x-x-x H K-J-x-x-x D A-x C x-x.

Rainer Herrmann: Cashing two spades could strand me in dummy, after West takes his C Q and leads another diamond (when East has four trumps).

Carsten Kofoed: This keeps control if spades are 4-1.

Joon Pahk: If East has four trumps, I need to keep two trumps in dummy to handle a fourth diamond when West wins the C Q.

Leif-Erik Stabell: Two rounds of trumps (Line C) will not be good enough if West is 1=3=6=3; after winning the C Q, he can lead another diamond to lock me in dummy.

Steve White: I need to lead the second club from dummy in case West started with C Q-x-x; and I must keep two low trumps and the H A in dummy in case East started with four trumps.

John Lusky: East is likely to be 4=5=2=2. This allows me to continue with a club to the king (East pitches) and a third club. Regardless of what the defense does, I can come back to my hand in spades.

Neelotpal Sahai: I’ll watch out for a doubleton club and four spades with East, and only this line succeeds. Next I will lead a club toward the king.

Manuel Paulo: Consider this possible East hand: S x-x-x-x H K-J-x-x-x D A-7 C 8-5. When I next lead a club, East can’t ruff my king. …

Charles Blair: I’m trusting East to be 4=5=2=2 — but I’m worried.

Alfred Sheinwold had the same problem. Alfred E. Neuman solved it.

Adrian Barna: Playing East for four trumps and two clubs. A second round of trumps would prove fatal when West wins his C Q and returns a diamond.

N. Scott Cardell: To be at all sensible, East’s club discard must be from [shortness]. To avoid losing both a club and a club ruff, I must lead the second club from dummy. Another likely danger is [four trumps with East], as West might have defended differently if trumps were breaking. [Play described].

Bruce Neill: If East started with four spades and two clubs, I have to lead up to the C K,…and keep two trumps in dummy to keep control if West plays a fourth diamond.

Tim DeLaney: At first, it looks like East may have misguessed which suit to discard, but [that’s unlikely]. Danger is that West has S x H Q-x-x D K-Q-J-10-9-8 C Q-10-x, or similar… When I next lead a club from dummy, East cannot gain by ruffing air.

Dean Pokorny: East’s club discard suggests something like S x-x-x-x H K-J-x-x-x D A-x C 8-x. If so, the second club should be played from dummy, and the entry used must be the S A (leaving the H A intact to prevent a heart force).

Jordi Sabate: East’s C 8 must be a singleton or doubleton. If East has four spades, I can win in the latter case only with Line E.

Dale Freeman: One trump lead is enough, and I must lead up to the C K through East. I may still succeed if trumps are 4-1.

Sebastien Louveaux: Planning to establish clubs by playing through East, who cannot ruff profitably. I retain trumps in dummy to avoid being shortened. I cannot afford two trump leads (Line C), as it would leave me short of an entry to hand.

Roger Sun: I hope East has two clubs, as I protect against a 4-1 trump distribution.

Perry Groot: Any other line of play [will not cope] with the danger of East having four spades and two clubs.

Toby Kenney: If East started with two clubs and four spades, I need to keep two trumps in dummy — one to ruff the diamond, and one to lead back to my hand.

Jim Munday: I need 3-2 clubs, but I can cater to 4-1 spades. Clubs must be established while I have two trumps in dummy…

Ulrich Nell: I will continue with a club to the king, then (if East pitches) another club. …

Thijs Veugen: East is likely to be 4=5=2=2, so I don’t want to be forced again.

Barry White: Next I will lead a small club. If East holds S x-x-x-x H K-J-x-x-x D A-7 C x-x, he will be caught in a Morton’s fork of sorts.

Brad Theurer: East probably started with a small doubleton club (if a singleton, I’m in trouble as spades would likely be 4-1), so I will avoid having an honor ruffed. I must use the S A entry (not the H A), since I can’t afford to be tapped again if trumps are 4-1.

Franco Chiarugi: East probably has S x-x-x-x H K-J-x-x-x D A-x C x-x. I must lead the second club from dummy, so if East ruffs I have no problem. If he pitches, I will play the C K and another; then with any return by West, dummy will have a spade to return to my hand.

Dawei Chen: Other lines will destroy my only hand entry in trumps when they split 4-1.

Gerald Murphy: Next I will lead a club; if East ruffs, my club loser goes away. If he discards, I will win the C K and lead another one; then I am in control…

Julian Wightwick: Then a club to the king. This is necessary if East is 4=5=2=2.

David Kenward: East most likely has a doubleton club. I’ll next play a club toward my hand and set up clubs. If West returns a diamond, I can ruff in both hands (if East overruffs) and pick up a 4-1 trump break.

Micah Fogel: The contract can’t be made if West started with a club void, barring a miracle — and I’m not even sure then. …

Mauri Saastamoinen: Next I lead a club. East could well be 4=5=2=2 (West being 1=3=6=3). …

D.C. Lin: It is crucial to draw just one round of trumps; otherwise West can return a diamond when he wins the third club.

Len Vishnevsky: I hope West has only three clubs, as I need to score both my high clubs and clear the suit to [retain] control when spades are 4-1. East can’t afford to ruff the second club when led from dummy.

Anthony Golding: East’s club pitch looks like shortage, so spades won’t break (else East would have bid hearts); so I have to hope clubs were 3-2. Next I’ll play a club to the king (it doesn’t help East to ruff) and a club. I can ruff a diamond exit in dummy to neutralize West’s trumps and draw trumps. I can’t afford to play the S K first, else East won’t overruff the diamond exit.

Paulino Correa: Hopefully, East will have a doubleton club; otherwise, I cannot see how to win. Even then, I cannot play two rounds of trumps, else I will be locked in dummy…

Leonard Helfgott: This is better than two rounds of spades, because then I can be dummy-locked and forced to ruff again (failing if trumps are 4-1). The extra trump in dummy allows a reentry.

Junyi Zhu: Next I play a club from dummy. … Drawing two rounds of trumps (Line C) is flawed, as a fourth diamond will create problems if trumps are 4-1.

Richard Stein: Seems there’s one problem in every play contest where an opponent does something mysterious. What on earth is this club pitch? From three, four or five clubs, it wouldn’t make any sense; East could have a singleton, but that gives him either five trumps (I’m down) or six hearts (a nonforcing 2 H response). I’ll play him for a doubleton, and lead the second club from dummy.

Analyses 8Y56 MainChallengeScoresTop I Walk the Line

Problem 3

IMPs
Both Vul
S 10 9
H 7 4 3 2
D Q 10 7 5 2
C A J
WEST
1 C
Pass
Pass
All Pass
North
Pass
2 D
3 S
East
1 H
Pass
Pass
South
Dbl
2 S
4 S
Lead: H KTableEast plays H J



4 S South
S A K Q 8 6 4 2
H Q 5
D A
C 9 3 2

West next leads the H A (East plays H 10) then the S 3, won in dummy as East plays S 7.

Next PlayAwardVotesPercent
B. Ruff heart (high); draw trumps109013
A. Draw trumps8497
E. Win D A; finesse C J527540
C. Ruff heart (high); finesse C J48212
D. Ruff heart (low); finesse C J36610
F. Lead the C J212819

Partner’s spade raise appears well-judged — at least before the trump shift, although now it’s looking like he misjudged. If only he were inspired enough to bid notrump. Enough dreaming; back to the task at hand of turning nine tricks into 10.

A club ruff in dummy is your obvious chance for a 10th trick, and East’s S 7 offers a ray of hope. It looks like a singleton; so if you could finesse a club into East, he couldn’t stop the ruff. Crossing to the D A (Line E) seems the safest way to go about this.

Hold the bass guitar! Several things don’t add up with the actual defense. If East had a club honor and only one trump, why did West cash a second heart, removing his entry to lead another trump? Further, East’s carding in hearts (10 on second round) screams suit preference for diamonds; surely, if he had the C K or C Q, he would play his lowest heart. Therefore, West must have C K-Q, so any line based on finessing the C J is an exercise in futility. The deal rates to be something like this:

IMPsS 10 9TrickLead2nd3rd4th
Both VulH 7 4 3 21 WH K2J5
D Q 10 7 5 22 WH A310Q
C A J3 WS 31072
S J 5 3TableS 74 ND 2?9A3
H A K 6H J 10 9 85 SC 2QA7
D 8 6 3D K J 9 46 NC J43K
C K Q 8 5C 10 7 6 47 WS J
S A K Q 8 6 4 2Declarer fails
H Q 5
D A
4 S SouthC 9 3 2

After H A-K and a spade won in dummy, if you cross to the D A and lead a club (Line E), West will split his honors and gain the lead to return a second trump. Similarly, if you ruff a heart to hand (Line C or D) you cannot keep West off lead in clubs. Even if you duck the club to keep both minor aces, the only possible squeeze would be a crisscross (reaching D Q-10 C A opposite D A C 9-3), which obviously fails with a different defender protecting each minor suit.

“You’ve got a way to keep me on your side…”

Yes, there is a way to keep things on your side, and the C 9 is the key. You should have figured you weren’t dealt that card for nothing! If East has the C 10, along with the indicated D K and 4+ hearts, he will come under pressure as trumps are run; but you mustn’t touch the delicate club suit until later.

IMPsS 10 9TrickLead2nd3rd4th
Both VulH 7 4 3 21 WH K2J5
D Q 10 7 5 22 WH A310Q
C A J3 WS 31072
S J 5 3TableS 74 NH 4!9S Q6
H A K 6H J 10 9 85 SS A59C 4
D 8 6 3D K J 9 46 SS KJD 2D 4
C K Q 8 5C 10 7 6 47 SS 8D 3D 5D 9
S A K Q 8 6 4 28 SD A87J
H Q 5continued below…
D A
4 S SouthC 9 3 2

Proper technique is to ruff a heart (high) to make sure only East can guard the fourth round, then draw trumps. Lead another trump and the D A (optional) to reach this position:

S win 4STrickLead2nd3rd4th
H 79 SS 6C 5D 10C 6
D Q 1010 SC 2QA7
C A J11 NC J103K
STableSDeclarer succeeds
HH 9
D 8D K
C K Q 8 5C 10 7 6
S 6 4
H
D
South leadsC 9 3 2

When you lead your next-to-last trump (pitching the D 10) East may as well sing Folsum Prison Blues. He must keep both winning red cards, so he will let go a club; then a club to the queen-ace, and the C J establishes your C 9 while you still have a trump left.

Curiously, if West leads a spade at Trick 2 (instead of a second heart) the same squeeze develops by running trumps to reach:

S win 4STrickLead2nd3rd4th
H 7 48 SS 6D 8D 10?
D Q 10East is squeezed
C A J
STableS
H A 6H 10 9
D 8D K
C K Q 8C 10 7 6
S 6 4
H Q
D
South leadsC 9 3 2

On the next spade, the D 10 goes from dummy, and East is history. Note that dummy’s H 7 will establish if East pitches another heart.* This emphasizes the power of running trumps. Even if you have no idea what might happen, make the opponents sweat!

*If West held H A-K-8, a trump shift at trick two defeats the contract.

Second place goes to running trumps immediately (Line A). Ruffing a heart isn’t necessary when West’s spot is the H 6, as the same squeeze works. On a super-expert plane, one could surmise that West has to have the H 6; else he wouldn’t cash a second heart to give you a chance. Even so, that plane may still be on the runway.

Other plays are almost hopeless when East has the D K and no club honor, a deduction I deem to be manifest. Leading toward C A-J early on (Lines C, D and E) works only if West has C K-Q-x-x-x-x and East 10-x. The 6-2 club break greatly increases the chance of an overruff*, so ruffing a heart low (Line D) has to be the worst of the lot. Between Lines C and E, there is no difference in theory; but crossing to the D A (Line E) is better technique if the defense erred, as well as preferred by the voting.

*West probably would lead the H A with A-K doubleton, but you can’t always trust it. Further, if West held S J-5-3 and three hearts, he would have a singleton diamond, and East would have bid 1 H with four hearts and six diamonds — all possible but quite a parlay.

Last place goes to leading the C J from dummy (Line F), as it fails even when West has six clubs. After another trump lead, your opponents will be roasting chestnuts as the contract burns, burns, burns in a ring of fire.

Comments for B. Ruff heart (high); draw trumps

Ding-Hwa Hsieh: East may have S 7 H J-10-x-x-x D K-J-x-x C 10-x-x.

Jerry Fink: Why the H A at trick two? … Only plausible explanation is that West feared my getting a pitch on diamonds and needed his partner to give suit preference in hearts. I read East’s H 10 to show D K-J, and therefore place West with something like S J-x-x H A-K-6 D x-x-x C K-Q-8-x. …

Lajos Linczmayer: East showed diamond preference. If he has the D K and C 10, I can squeeze him in three suits. The heart ruff is required if West has H A-K-8.

Jonathan Mestel: I believe East’s H 10 signal and am allowing for S x-x H J-10-9-6 D K-J-x-x C 10-x-x. Naturally, on the run of trumps, “I keep a close watch on this heart of mine.”

Carsten Kofoed: The first three tricks suggest that East has the D K, so he’ll be triple-squeezed if he has C 10-x-x. …

Joon Pahk: Based on East’s signals, I don’t think he has a high club honor; but he might have the C 10, in which case he can be crushed in three suits.

Leif-Erik Stabell: East’s signals strongly indicate the D K and no club honor, so I must hope he has the C 10 and is forced to unguard it in the end.

John Lusky: Isolating the heart guard. If East has the D K and C 10 (and West C K-Q), the defense will be unable to hold the position as I run trumps. (If I could instead arrange to ruff a club, the defense has erred.)

Bruce Neill: I’m hoping East has the D K and C 10, and West has C K-Q. Then on the run of trumps, East will have to unguard his C 10 to keep diamonds and hearts covered; so I can build a club trick…

Tim DeLaney: West was forced to lead trumps to stop a club ruff. East’s carding suggests he has the D K, so West can be placed with C K-Q. Ruffing a heart isolates the menace, then leading all but one trump will squeeze East if he has the C 10.

John Auld: East has indicated a high diamond, so he probably has nothing in clubs. Organizing a club ruff looks impossible, so I’ll play East for C 10-x-x, and an amazing squeeze…

Jordi Sabate: East’s H 10 showed diamond [preference], so I’ll play him for the D K and C 10 (West C K-Q) to have any chance. After ruffing a heart (in case West has another) and running trumps, …my 10th trick will probably be the C 9. Thanks, Geza.

Sebastien Louveaux: West cannot have the sole guard in both minors, so a crisscross squeeze (Line F) will fail. After isolating the heart menace, I will apply pressure…

Sandy Barnes: … A guard squeeze [of sorts], forcing East down to C 10-x, in order to protect diamonds and hearts.

Thijs Veugen: East seems to have the D K (heart signal), in which case I can make 4 S if he has the C 10 (West having C K-Q). Ruffing a heart gets a count of East’s hand [and will isolate the menace].

Roger Courtney: … Followed by more trumps.

And finally, a few words from the campaign trail:

Barack Obama: Before deciding my play, I’ll invite my opponents to a summit conference, then I’ll nuke the bastards. Picture the headlines of tomorrow: Obama Nabs Osama! Not much difference, just a B here and an S there, but BS is what I’m all about!

Hilarity Clinton: Sorry, Richard, I don’t play bridge. Ask Willy or Monique, if you can pry them from the sheets.

Analyses 8Y56 MainChallengeScoresTop I Walk the Line

Problem 4

IMPs
N-S Vul
S 3 2
H 9 8 3
D A Q 10 6
C K 10 9 8
West

2 H
All Pass
NORTH
Pass
Dbl1
East
1 H
3 H2
South
1 S
5 C
Lead: H 4TableEast wins H A



5 C South
S A K 7 6 5 4
H 5
D 5 4
C A Q J 2
1. responsive
2. obstructive

East returns the H 7.

PlayAwardVotesPercent
A. Pitch a diamond1016524
F. Ruff (low); finesse D 10810014
E. Ruff (low); finesse D Q715823
B. Ruff (high); win S A; C 10515623
C. Ruff (high); win C 10; ruff heart4639
D. Ruff (high); win C 10; C Q2487

Yes, 4 S would have been a better contract, but the bidding was certainly sensible. East judged well to bid 3 H (not a game try) to limit your options and force you to guess. Jumping to 4 S might land on partner’s singleton, and cue-bidding 4 H might elicit 5 D; so I agree with 5 C at IMPs (4 S is probably a better gamble at matchpoints). Anyway, it’s too late now; even the Man in Black can’t change suits during a performance.

Five clubs is cold with normal breaks (3-2) in each black suit, but the auction is ominous. East’s 3 H bid suggests an unbalanced hand, so assuming friendly breaks is too optimistic. Chances are, one of your suits will split 4-1. The key question: What can you do about it?

Suppose East has a singleton spade and clubs are 3-2. The best approach is to ruff the heart high, cash the S A, and cross to the C 10 (Line B) then lead a spade. If East ruffs (from three trumps originally) you will succeed; but he will surely pitch. Then it’s hopeless, as you lack communication to set up spades without tapping your hand again. If West had the singleton spade, matters would be even worse. The bottom line: You need spades to break.*

*Not absolutely but for practical purposes. If the D K is onside (unlikely), you can manage a dummy reversal.

Assuming spades are 3-2, you might be able to cope with a 4-1 club break. One possibility is to prepare a complete crossruff by finessing the D Q (Line E). Unfortunately, it is destined to lose based on East’s opening bid; and seeing you pursue this tack, he will return a trump to limit your crossruff to 10 tricks. You might still get home by finessing the D 10, but that might lose as well.

If you knew clubs were 4-1 (West having four) you could establish spades with a ruff, return to hand in trumps, and lead good spades until West ruffs; then overruff and draw trumps. Alas, this is playing with mirrors, as you may fail with clubs 3-2.

“I keep a close watch on this heart of mine…”

Consider a plausible layout:

IMPsS 3 2TrickLead2nd3rd4th
N-S VulH 9 8 31 WH 43A5
D A Q 10 62 EH 7D 4!J8
C K 10 9 83 WH K92C 2
S J 8TableS Q 10 94 SS A829
H K J 6 4H A Q 10 7 25 SD 53A2
D 8 7 3D K J 9 26 NS 310KJ
C 6 5 4 3C 7Crossruff the rest
S A K 7 6 5 4
H 5
D 5 4
5 C SouthC A Q J 2

To cope with the 4-1 trump break honestly, you must keep a close watch on when you ruff the heart. Forget about the diamond finesse (fated to lose) and pitch a diamond on the second heart (Line A). Essentially, this forces West to commit the defense before you commit your play. If West leads a trump, you can establish spades and draw trumps, because your hand hasn’t been tapped. If he leads anything else, you have a complete crossruff.

Second place goes to ruffing low and finessing the D 10 (Line F). This is better than finessing the queen, because it will locate the D J immediately. Whichever diamond East wins, he must return a trump to stop a complete crossruff. Then if D A-Q are good, you will cash them and crossruff; else you will establish spades and hope for 3-2 trumps.

Third place goes to ruffing low and finessing the D Q (Line E). If this wins, you are home even with both black suits 4-1* (heart ruff, D A, diamond ruff high, draw trumps); but East’s opening makes this a long shot, especially after West appears to have the H K. When it loses, a trump will be returned, then you must guess whether to take a second diamond finesse or play for 3-2 trumps and establish spades.

*Thanks to misdefense. If East were 4-1 in the black suits (either way) he should lead a trump at Trick 2.

Other plays are considerably worse. Fourth place goes to Line B, which depends on 3-2 spades and clubs, logically presuming intent is to set up spades rather than switch to diamond finesses. An advantage of this over some lines is that it allows the second spade to be led from dummy, reducing the chance of going down two if spades are 4-1.

Fifth place goes to Line C. After ruffing dummy’s last heart in hand, presumption is that trumps will be drawn and a spade will be ducked, succeeding against 3-2 breaks in each suit.

“When in doubt lead trumps” is bad advice for declarer, so it’s no surprise that Line D ends up in the basement. After drawing two trumps (killing any chance of a crossruff) you will have to bang down S A-K. With friendly breaks, you’re home; but if a top spade is ruffed, you’ll be down two or three.

Comments for A. Pitch a diamond

Ding-Hwa Hsieh: East may have S Q-J-x H A-Q-10-x-x-x D K-J-x C x.

Jerry Fink: Five clubs will not make unless spades are 3-2, and pitching a diamond is the [best] way to handle a 4-1 club break.

Lajos Linczmayer: As East seems to have the D K, I’ll protect against 4-1 clubs. I plan either to establish spades or crossruff.

Jonathan Mestel: Tough problem; Lines A, C, E and F all look reasonable, with occasional squeeze chances. At pairs, I’d assume 4 S was not making; but at IMPs, a 3-2 spade break seems as good as I can get. West may have bid 1 NT with S Q-10-x-x H J-x-x D K-x-x-x C x-x.*

*Jonathan may be too subtle. Note that his example produces an amazing 12 tricks (dummy reversal and squeeze) with spades 4-1. -RP

Leif-Erik Stabell: Looks like I need spades 3-2, but a 4-1 club break should pose no problem. I will play a crossruff, unless West returns a trump (then set up spades).

Steve White: Assuming spades are 3-2, this lets me keep control regardless of which opponent has four clubs… If they shorten me, I will crossruff; if not, I will ruff a spade in dummy and pull trumps.

John Lusky: Playing for 3-2 spades, without having to guess anything else about the hand. A 4-1 spade break is a much lesser risk than 4-1 clubs, as East might have returned a singleton spade (necessary if I were 6=1=1=5 with good spade intermediates missing the ace). Other lines either run into trouble against 4-1 clubs or require luck in diamonds and/or guesswork — and might fail against friendly distribution. …

Neelotpal Sahai: Since the H K is likely with West, the diamond finesse won’t work. … I can handle a 4-1 break in trumps but not in spades. If West returns a trump, I will ruff the third spade and draw trumps… Otherwise, I will crossruff.

Manuel Paulo: Consider these possible East hands: S x-x-x H A-Q-J-10-7-2 D K-J-x C x, or S x-x H A-Q-J-10-7-2 D K-J-x-x C x. After winning the H K, if West leads: (1) his last heart, I ruff, cash S A-K and D A, then crossruff; (2) any other card, I win, set up the spade suit, and draw trumps.

Charles Blair: This works as long as the Men in Black (spades) behave.

Adrian Barna: Playing [to succeed] against 4-1 trumps and 3-2 spades. On a trump return, I establish spades; on a heart (or any other) return, I crossruff.

N. Scott Cardell: West looks to have the H K and perhaps the H J as well, so East is almost certain to have the D K as part of his opening. With the D K offside, I will need spades 3-2; but with care I can succeed if clubs are 4-1. [Play described].

Tim DeLaney: Spades must be 3-2 to have a chance; and if clubs are also 3-2, I can’t go wrong. Since neither opponent led a club, they will not be 5-0; so I must guard against a 4-1 break. Pitching a diamond threatens a high crossruff; or if West leads a trump, I will establish spades and draw trumps.

John Auld: I can now make 11 tricks on a crossruff unless West leads a trump, in which case I ruff out spades and draw trumps. I need spades to break but not clubs.

Jordi Sabate: This allows me to crossruff, unless West returns a trump (then I will set up spades). …

Roger Sun: If spades are 4-1, the contract is [doomed]; but if clubs are 4-1, this allows me to establish spades if West returns a trump, else crossruff.

Ulrich Nell: On a club return, I will establish spades (which must be 3-2).

Thibault Wolf: This wins when spades are 3-2. If West continues hearts, I crossruff; if he leads a trump, I can establish spades. Line E is attractive because it wins whenever West has the D K (barring a singleton with East); and if not, it may succeed if West has the D J, by finessing again and squeezing him in spades and diamonds — but odds seem better for a normal spade break.

Thijs Veugen: As long as spades divide, I will make 5 C — either on a crossruff, or simply by ruffing the third spade and drawing trumps. Clubs can be 4-1.

Franco Chiarugi: This seems the highest probability, requiring only 3-2 spades (clubs can be 4-1). Lines E and F are interesting but [diminished] by the high probability of the D K in East.

Ashley Sawyer: I hope to set up a complete crossruff, as all my trumps but one are high.

Dawei Chen: I don’t think I can deal with spades 4-1, but this allows me to establish spades or crossruff (depending on the defense) when clubs are 4-1.

David Kenward: I can now try for a complete crossruff if a trump is not returned; otherwise, I can set up spades whilst keeping trump control.

Steve Moese: [Preparing for] a high crossruff.

Roger Morton: I think spades have to be 3-2, but I can make on any 4-1 trump break. If West returns anything but a trump, I’ll crossruff. On a trump return, I’ll set up spades.

Okan Ozcan: … From the play it looks like East has only H A-Q, so I reject any line based on a diamond finesse. …

Richard Stein: West has H K-J-4, and East H A-Q-10-7-6-2; so East has the D K… Pitching a diamond gains on lies where spades break and clubs don’t. West is forced to return a trump (else concede a crossruff), then I’ll set up spades with a ruff and claim.

Analyses 8Y56 MainChallengeScoresTop I Walk the Line

Problem 5

IMPs
None Vul
S A J
H A K 10 5
D Q 7 3
C A K 4 3
WEST
1 D
Pass
North
Dbl
5 S
East
Pass
All Pass
South
4 S
Lead: D KTableEast plays D 5



5 S South
S K 10 9 8 7 6 5
H 2
D 9 4
C Q 6 5

West next leads the D A (East plays D 6) then the C J.

PlayAwardVotesPercent
D. Win C K; ruff D Q; win H A1016324
F. Win C Q; finesse S J924936
C. Win C K; ruff D Q; finesse S J87911
E. Win C Q; S A58412
A. Win C K; S A47811
B. Win C K; ruff D Q; win S A3375

Four spades would have been easy-guitar music, but partner had visions of slam. On a lucky day you might have S K-Q and a stiff diamond. Not today, but being at the five level certainly fits my theme.

This problem is all about the queen of trumps. Should you try to drop it? Or take a finesse? West’s opening bid requires most of the missing high cards, which makes a good case for the abnormal play of a first-round finesse of the S J. Not so fast. Many years ago, I learned not to try to locate queens based on enemy suit bids, since shortness in a suit offers equal if not greater incentive to bid. This is even more true today, as good players flaunt the advantage of getting in first, and light openings are common with shapely hands. Therefore, I do not like the idea of committing to a first-round spade finesse (Line C or F) — at least not immediately.

Another possibility is that you may have no guess at all. West might show out on the first spade. Talk about changing horses! Now you must arrange a trump coup to capture East’s queen. Consider this layout:

IMPsS A JTrickLead2nd3rd4th
None VulH A K 10 51 WD K354
D Q 7 32 WD A769
C A K 4 33 WC J32Q
STableS Q 4 3 24 SS 5D 2A2
H Q J 9 6H 8 7 4 35 NS J36D 8
D A K J 8 2D 10 6 56 ND Q10S 7J
C J 10 9 7C 8 27 SH 26A3
S K 10 9 8 7 6 58 NH 54S 89
H 29 SC 57A8
D 9 410 NH 107S 9J
5 S SouthC Q 6 511 SC 69KS 4
Declarer fails

After two top diamonds and a club shift, suppose you win the C Q and lead a spade to the ace (Line E or adjusted Line F) then the S J which holds, as even Matilda wouldn’t cover. Next you ruff the D Q, cross to the H A, ruff a heart, cross to the C A, and ruff another heart. This brings you down to the right length for a trump coup, but you can’t get back to dummy (East ruffs the third club).

“I keep the ends out for the tie that binds…”

You must develop a different ending to deliver the tie that binds, which means using your entries to greater advantage. Win the club shift in dummy, ruff the D Q, cross to the H A (Line D) and ruff a heart, all of which is risk free on the bidding. Now lead a trump, and when West shows out you’re in business: Win the S A, run the S J, then ruff a heart to reach this ending:

S win allSTrickLead2nd3rd4th
H K10 SC 67K8
D11 NH K8C QQ
C K 4 3Declarer succeeds
STableS Q 4
H QH 8
DD
C 10 9 7C 8
S K 10
H
D
South leadsC Q 6

Finally, cross to the C K and lead the H K (pitching the C Q when East follows) to effect the trump coup.

If West follows to the first trump lead, Line D still allows the option of a first-round finesse. The slight drawback (versus Lines C and F) is that if you finesse and West has S Q-x-x, you must decide how to return to hand; i.e., West might have a doubleton heart or a stiff club. Even so, the immediate finesse is still the better play. Just be happy it wasn’t part of the problem.

A close second goes to the popular choice, winning the C Q for an immediate spade finesse (Line F). All considered, this is certainly the percentage play in spades, mainly because you wouldn’t know to finesse East anyway. This gains if West has S Q-x-x (a likely holding) and loses to S x-x-x or x-x.* If the finesse wins and West has S Q-x-x, returning to hand is no problem, as the D Q can be safely ruffed.

*West having two or three low spades is far below normal odds, because he then needs every other high card to justify an opening bid.

Some will argue that allowing for a trump coup (Line D) is unwarranted due to the slight risk of returning to hand safely after a first-round spade finesse. This is what keeps the game interesting! Judgment calls are often close — but being the moderator helps my cause.

A close third goes to Line C, a first-round trump finesse after ruffing a diamond. In theory, this risks an overruff if West has S Q-x-x and a stiff heart, but East would hardly pass 1 D with seven hearts. Hence it’s effectively the same as Line F but less popular in the voting.

Other plays (Lines A, B and E) are clearly weaker, as they involve cashing the S A early. This commits you to dropping the S Q, which is inferior on the bidding. Further, if East happens to have S Q-x-x-x, you cannot negotiate the trump coup (as previously shown). Among them, there’s no real difference, so they’re ranked by the voting.

Comments for D. Win C K; ruff D Q; win H A

Jerry Fink: A safety play, preparing for a trump coup if East has S Q-4-3-2 H x-x-x-x D 8-6-5 C x-x.

Lajos Linczmayer: Next I ruff a heart, and play a low trump. If West shows out, I make the contract unless East had a singleton club. If West follows, I think the percentage play is to play for drop.

Jonathan Mestel: You don’t even make us decide what to do if West does not show out of trumps.

Rainer Herrmann: East could be 4=4=3=2.

Carsten Kofoed: Another exploring play; who has the S Q? The bonus comes when West is void in spades.

Joon Pahk: Playing West for the S Q; but just in case he shows out, I can still coup East if he is 4=4=3=2. I’m hoping East would have made a weak jump shift with 6+ hearts, so I won’t be embarrassed by West overruffing as I try to return to hand.

Leif-Erik Stabell: I might have to make a good guess in spades — unless West is 0=4=5=4! Then there’s no guess, as I can handle the 4-0 break easily enough.

Steve White: I’m planning to hook the opening bidder for the S Q, but I’ll keep trump-coup chances alive in case he shows out.

John Lusky: West may have either the S Q or spade shortness for his opening bid. This prepares the way to pick up four spades with East whenever I can.

Neelotpal Sahai: East with S Q-x-x-x is the only real but surmountable danger, provided I am alert — and “ruff D Q” in three options is too much of a hint. [Play described]. If West follows to the first trump, I will play to drop the S Q.

Charles Blair: If spades are not 4-0, I guess this is as good a way to play as any.

N. Scott Cardell: West needs most of the 14 missing HCP for his opening, but East could still have the S Q. … This will find out if East started with D J-x-x, and prepare for a trump coup if he has S Q-x-x-x. Next I will ruff a heart and lead a spade, and if West follows low, I must decide if he needs the S Q. …

Bruce Neill: Trump reduction drill, in case East has four spades. At the table, I might be too busy wondering why we got so high to see this!

Johnny Cash would’ve seen it easily, as “wondering why he got so high” was normal technique.

Tim DeLaney: Eventually, I may have to guess spades correctly; but meanwhile, I shorten my trumps to prepare a trump coup in case East has S Q-4-3-2.

John Auld: Planning ahead for a trump coup. The only time I’ll play East for the S Q is when West shows out.

Dean Pokorny: [I plan] to finesse East for the S Q. … Next I will ruff a heart and cross to the S A,…and I might discover East has S Q-x-x-x and execute a trump coup.

Jordi Sabate: Only this option will protect against S Q-x-x-x in East, and the best way to count points to decide who has the S Q in other cases.

Dale Freeman: Preparing for a trump coup if East has all four trumps. I hope East doesn’t have seven hearts; ouch!

Sebastien Louveaux: As East probably would have bid with [seven] hearts, it is safe to ruff a heart. If I discover that East has either the D J or a heart honor, I will play West for the S Q. Otherwise, I will play spades from the top.

Frans Buijsen: Trying to get some knowledge of the enemy hands before committing to a trump choice. In particular, finding a heart honor with East should be his only honor.

Perry Groot: There is not much information about how to play spades, but only this line works when East has S Q-x-x-x.

Toby Kenney: West seems most likely to have the S Q, but it’s possible that his opening was based on distribution… To cater for a spade void with West, I need to prepare a trump coup by ruffing a heart next. …

Jim Munday: On the auction, hearts are likely 4-4, and West is likely short in spades. There is a real chance that spades are 4-0, and this is the only way to set up a trump coup.

Ulrich Nell: A little discovery may be of assistance.

Mark Kornmann: South is a bad bidder! One spade is plenty, then 4 S over the 2 NT follow-up; then who cares about the S Q? Diamonds are 5-3 based on the play, so I’ll see if the D J drops [before deciding my spade play].

Barry White: I will either finesse or play for a 2-2 trump split — whichever works. :) However, if East has four trumps, I must retain the S A entry to prepare for a trump coup. Next I ruff a heart and lead a trump.

Debbie Cohen: This preserves chances for a trump coup, even if East has only two clubs.

Brad Theurer: If trumps are 2-2 or 3-1, I have to guess; but if West has, say, SH Q-J-x-x D A-K-J-x-x C J-10-9-x, I need to set up a trump coup immediately. I’ll follow with a heart ruff and a spade to the ace. …

Dawei Chen: I am going to play S A-K, unless if I have a marked finesse against East’s S Q-x-x-x, in which case I must reduce my trump length to prepare for a trump coup.

Julian Wightwick: Just in case East has all four spades. Next I’ll ruff a heart and cross to the S A. If both follow, I’ll play for 2-2 trumps; but if West shows out, timing is right for a coup.

David Kenward: Then ruff a heart and play a trump toward dummy — a necessary start to pick up four trumps with East. If West follows to the trump, I’ll finesse the S J, since West is likely to have a weak-notrump hand.

Suresh Adina: With any other defense the contract is cold, since a diamond could be pitched on the H K. … Now I need to play spades for no loser, so I’ll try to get a count of the hand by playing side suits.

And when East gets a club ruff, you will definitely know how to play spades.

D.C. Lin: Preparing for a trump coup if East has S Q-x-x-x. I don’t think odds favor this line, but ego sure favors to find it working — especially when there are kibitzers.

Roger Morton: I might occasionally find out something interesting about the distribution before guessing trumps.

Dmitri Shabes: I still don’t know if I am going to finesse in spades, but this is the only way to deal with four spades in East.

Okan Ozcan: I need to shorten my trumps in case East has S Q-x-x-x H x-x-x-x D x-x-x C x-x.

Roger Courtney: This discovery play (of sorts) looks best by quite a long way.

Len Vishnevsky: If West has four trumps, I’m down. If East has S Q-x-x-x H x-x-x-x D x-x-x C x-x, I need to ruff myself down for a trump coup.

Neat. If you’re not already down then ruff yourself down.

Anthony Golding: … I’ll next ruff a heart and play a spade to the ace; …if West shows out, I can pick up East’s S Q-x-x-x.

Paulino Correa: How is my guessing today? West probably has S Q-x-x H Q-J-x D A-K-x-x-x C J-x, but I want to grab as much information as I can…

Junyi Zhu: Trying to explore before deciding about trumps.

Comments for F. Win C Q; finesse S J

Adrian Barna: West is most likely to hold the S Q, and this guards against a heart or club singleton. (After cashing the S A, ruffing the D Q is safe.)

Ruben Buijs: I took a shot of cocaine, and I laid that woman down.

David Freeling: West almost certainly has the S Q, so I might as well finesse right away. Sure, he could have opened with H Q-J, D A-K-J and C J, but that’s a [narrow] group of hands.

Ron Landgraff: … West opened, so even if spades are 2-2, the finesse is highly likely to work — and I have a safe return to hand.

Leonard Helfgott: … Even with diamonds 5-3, it is much more likely that West has the S Q to justify his opening. If East has the D J, it’s virtually certain that West has the S Q; but nothing would change my plan, so I’ll save my 100-percent safe reentry. …

Bill Powell: I don’t think there’s any useful information to be gained by fiddling around.

Analyses 8Y56 MainChallengeScoresTop I Walk the Line

Problem 6

IMPs
Both Vul
S A Q 8 6
H K J 7 5 4 3
D A J 8
C
West

Pass
Pass
All Pass
NORTH
1 H
4 C1
6 C
East
Pass
Pass
Pass
South
1 S
5 S
6 S
Lead: D 10Table



6 S South
S K J 10 7
H A
D 6 4
C 9 8 6 5 3 2
1. splinter

PlayAwardVotesPercent
F. Play the D 8109514
E. Play the D J9599
D. Win D A; H A; ruff club715923
C. Win D A; H A; lead D 66517
A. Win D A; H A; lead S J to queen522332
B. Win D A; H A; lead S 7 to queen210315

While aggressive, the auction is reasonable and might be replicated by many experts. North’s 6 C promised first-round control in both minors (diamonds by inference since 5 S asked for diamond control) in case a grand slam were in the picture. Meanwhile, back to earth. Even the small slam is in serious danger — not surprising with only 23 HCP — but I’ve certainly been in worse.

Starting with only seven winners (not counting ruffs) you have a lot of work to do. A crossruff will not suffice, because scoring all your trumps separately nets only 11 tricks. The best chance is to establish the heart suit with one ruff and also ruff a diamond in hand, which will require friendly breaks. Consider such a layout:

IMPsS A Q 8 6TrickLead2nd3rd4th
Both VulH K J 7 5 4 31 WD 10A74
D A J 82 NH 36A2
C3 SS J2Q3
S 4 2TableS 9 5 34 NH K8D 69
H Q 9 2H 10 8 65 NH 410S KQ
D Q 10 9 2D K 7 5 36 SC 27S 64
C A Q 10 7C K J 4continued below…
S K J 10 7
H A
D 6 4
6 S SouthC 9 8 6 5 3 2

Suppose you follow the popular Line A (D A, H A, S J to queen). Next comes the H K (diamond pitch) and a heart ruff (high) to deliver the good news in that suit. Then you ruff a club to reach dummy, leaving this position:

S win 6S A 8TrickLead2nd3rd4th
H J 7 57 ND 8KS 102
D J 88 SS 74?
CDeclarer fails
S 4TableS 9 5
HH
D Q 9 2D K 5 3
C A Q 10C K J
S 10 7
H
D
North leadsC 9 8 6 5 3

You next ruff a diamond, and might as well ruff high, since you must find the S 9 doubleton or with West for a finesse. No luck. Down one, or four if you take the spade finesse.

“And happiness I’ve known proves that it’s right…”

The key to achieving happiness is to save the D A for a useful entry, which means not winning the first trick (Line E or F). Ducking with ace-third is common practice; so why did 77 percent of the field miss it? I’ll tell you why: Most people are obsessed with counting losers and saw they could discard their losing diamond on the H K. Sigh. This is why I have always stressed to count winners at all contracts.* Winners take tricks, and losers could be defined as people who don’t count winners; but I digress.

*Traditional instruction is to count winners at notrump, and losers at suit contracts; but it’s seriously flawed. Along comes a deal such as a dummy reversal, and the instructor explains, “Well, this time you should have counted your winners.” Very nice. Always count losers unless it’s right to count winners. Is it any wonder that bridge popularity is fading?

Whether to cover the D 10 (Line E) or play low (Line F) is the main issue, and the latter is better. Put yourself in East’s seat. Would you let the D 10 ride? Imagine ducking to South’s queen and finding partner with the H A! Therefore, Line E must settle for a close second. On the diagrammed deal, the extra diamond trick is insignificant; but if hearts or spades didn’t break, it could be crucial.

For the record, assume you duck the D 10, and a clairvoyant East does the same. Next win the D A and ruff a diamond (high); cash the H A; ruff a club*; cash the H K, and ruff a heart (high). When the H Q drops, you can draw trumps ending in dummy and claim. If West instead leads a club at Trick 2, you will change tack: Ruff; cross to H A; ruff a club; cash the H K; ruff a heart (S J); then draw trumps ending in hand (pitching the D J) and dummy is high with the D A entry.

*Close choice versus crossing in trumps. Ruffing a club allows you to salvage down one on a crossruff when hearts do not behave. Leading a trump allows you to succeed against a stiff S 9 in either hand (if hearts behave) but then the defense could have beaten you with a club shift at Trick 2.

Lines A, B, C and D are effectively the same in regard to making the contract. The difference is the matter of undertricks when things go sour, and it’s no surprise that leading trumps first is inferior. Or as sung by Johnny Cash “Don’t take your guns to town, son. Leave your guns at home, Bill. Don’t take your guns to town.” Therefore, Lines D and C get third and fourth place (tie broken by voting) since they save their guns. Between Lines A and B, the latter is clearly worse (voting agreed) because it commits to finding S 9 doubleton, while all other lines preserve the option to finesse.

Comments for F. Play the D 8

Jerry Fink: Saving the D A avoids the necessity of playing West for the S 9. Ducking (as opposed to covering with the D J) might pose a problem if West has S 9 H 10-x-x-x D K-10-9-x C K-x-x-x.

Lajos Linczmayer: I can make the contract if spades are 3-2 and hearts 3-3 (or H Q doubleton). If West continues diamonds, I ruff a diamond. If he shifts to clubs, I establish hearts (ruffing one more club). I also have some chance against H Q-x-x-x if East has D K-Q doubleton.

Jonathan Mestel: Our optimism may be justified in the “Sea of Heartbreak” — and if hearts don’t break, East may have a nasty guess with S x-x-x H Q-x-x-x D K-x-x C A-Q-x.

Rainer Herrmann: Ducking is right if East has something like S 9-x-x H Q-x D K-Q-x-x-x C A-x-x, or similar.

Carsten Kofoed: I need some luck in hearts, and two ruffs in one hand — either two clubs in dummy, or a heart and a diamond in hand. If East has D K-Q doubleton, I’ll have some extra chances.

Joon Pahk: Even if spades break and I can set up hearts with one ruff, I’ll need a diamond ruff in hand to come to 12 tricks. Unless I duck the first trick, my communication will be spoiled.

Leif-Erik Stabell: I must preserve the diamond entry, and I’ll need a bit of luck as well. Not much between Lines E and F; but if East has S 5-4-3-2 H 10-9-8-6 D K-Q C A-Q-7, inspired play (guessing trumps are 4-1) would see me home.

Steve White: I need to keep the D A as an entry to ruff a diamond in hand… This gains over Line E when East has D K-Q doubleton.

John Lusky: … If East has a hand like S x-x H Q-10-x-x D K-x-x-x C K-J-x, or S x-x H x-x D K-x-x-x-x C K-J-x-x, could you blame him for taking the D K and returning a heart? I might have a more rational hand for my bidding, such as S K-J-10-x-x-x H x D Q-x C A-x-x-x. …

Neelotpal Sahai: Even if clubs are 4-3 and spades 3-2, I don’t have five entries to ruff clubs, draw trumps, and enjoy two clubs. So hearts must be establishable [with one ruff],…and the D A must not be wasted now. I don’t see much difference between the D J and D 8, but ducking might tempt East to win the D K, leaving West’s D Q finessable.

Manuel Paulo: I need to ruff a heart and a diamond in hand, …so trumps and hearts must break well. … I don’t know why to opt for the D J or D 8, so I choose the lowest card as usual.

Charles Blair: This seems to avoid guessing the S 9. Maybe East has D K-Q doubleton.

Adrian Barna: If hearts are 3-3, I must keep the D A entry to dummy. Playing the D 8 has an extra chance of East holding D K-Q doubleton and H Q-x-x-x

N. Scott Cardell: My basic plan is to set up hearts, but I must also dispose of a diamond loser. … Lines A, B and C need to find the S 9 with West or doubleton, so are markedly inferior to Lines E and F. [Play described]. Line F is superior psychologically, as it may deflect West holding S 9 H 10-9-x-x D K-10-9-x-x C A-Q-x; both black suits look dangerous, so he may continue diamonds, letting me make despite the 4-1 trump break. [Play described].

Bruce Neill: If I win the first diamond, there are communication difficulties unless the S 9 is onside (preferably doubleton!) so I’ll duck. … Line F (versus Line E) gives me an outside chance of a miracle if East has, say, S 5-4-3-2 H Q-x D K-Q C K-J-x-x-x. …

Tim DeLaney: I can make 6 S if [trumps break] and hearts run after one ruff; but winning the D A is premature and would force me to finesse dummy’s S 8 later. …

John Auld: A crossruff won’t work, so I need to establish hearts with a ruff, and ruff a diamond. … I play low to elicit some help;…maybe East will pause and win the D K from K-x-x-x.

Dean Pokorny: I will try to ruff one heart and one diamond, hoping hearts will establish. Holding up the D A is necessary if East has something like S 9-x-x H Q-x-x D Q-x-x C K-J-x-x.

Dale Freeman: I might as well lose the diamond now and see what the opponents do next.

David Freeling: Holding up the D A improves the tempo. After a second diamond, I will win and ruff a diamond (high) in hand.

Toby Kenney: I need hearts to ruff out (3-3 or H Q doubleton)…and a diamond ruff as well. … Ducking the first diamond [saves a useful entry] and allows me to counter a club shift by ruffing two clubs in dummy, then drawing trumps in hand and crossing to the D A to enjoy the hearts. …

Javier Carbonero: I hope the lead is from Q-10-9, in which case East may win the D K, allowing the D J to be finessed. …

Jim Munday: Maximizing entries to ruff a heart and a diamond. Psychologically, the D 8 is better than the D J

Thibault Wolf: The H Q must be second or third, and it’s important to keep communication in diamonds. …

John Cunningham: Hoping for a diamond continuation to preserve dummy’s spade length.

David Kenward: Hopefully, I can set up hearts with one ruff; but that’s only 11 tricks, so I need to ruff a diamond as well. …

Paulino Correa: I need hearts to behave (3-3 or H Q doubleton) and spades 3-2. If I play the D A at trick one, I’ll need three entries to dummy,…meaning the S 9 must be doubleton [or finesse West] — better to duck the lead. If diamonds are continued, I’ll win and ruff a diamond, [etc.] … If a club is led, I’ll play differently, keeping the D A to get back to the established hearts. …

Comments for E. Play the D J

Douglas Dunn: On a diamond return, I’ll win the D A and ruff a diamond,…making if hearts are 3-3 (or H Q-x) and trumps 3-2.

Frans Buijsen: I need a dummy reversal (D A, diamond ruff, heart ruff, four spades and five hearts) to win 12 tricks. …

Brad Theurer: Some good luck is needed (trumps 3-2 and hearts 3-3 or a doubleton H Q), and I need to save the D A to manage entries. Depending on the defense, I will be able to ruff a heart and a diamond in hand or two clubs in dummy, as I set up hearts.

Gerald Cohen: I need to preserve the D A [either to ruff a diamond], or as a final entry to the good hearts.

Gerald Murphy: Playing for 3-3 hearts and 3-2 spades. …

Final Notes

I hope you enjoyed the contest, as well as the memory of one of America’s greatest singers. If you happen to live in a part of the world where Johnny Cash is unknown (e.g., Siberia, Zambia, California) maybe the acquaintance will enrich your life. Surely anyone could use a little more Cash. Thanks to all who participated, and especially those who offered kind remarks about my web site.

“Yes I’ll admit, that I’m a fool for you…”

Comments are selected from those scoring 43 or higher (top 210) or in the overall Top 100 prior to this contest. On each problem I only used comments that support the winning play, or close runners-up on Problems 1, 5 and 6. This may be considered biased, but I feel it’s the best way to ensure solid content and avoid potential embarrassment in publishing comments that are off base. On this basis, I included about 85 percent of the eligible comments. If you supplied comments that were not used, I thank you for the input.

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. If I use only part of a comment, an ellipsis (…) shows where text was cut. In some cases I have inserted text [in brackets] to supply an omitted word or phrase, or to summarize a cut portion. Comments appear in the 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, but oversights are possible. Feedback is always welcome.

“Because you’re mine, I walk the line.”

Time to go, so I’ll let the backup singers finish it off:

Mike Harney: I remember the day when I couldn’t even crawl the line.

Mike Frentz: So, are you Johnny or Richard? As long as you’re not a boy named Sue, I think we’re okay.

Mark Kornmann: South fell into a ring of fire — by bidding so badly!

Tim DeLaney: Aren’t you a month late with this theme? After all, Johnny Cash didn’t marry July Carter.

Charles Blair: We need a Folsom Prison coup!

Analyses 8Y56 MainChallengeScoresTop I Walk the Line

Acknowledgments to Johnny Cash (1932-2003) and “I Walk the Line”
© 2007 Richard Pavlicek