South has a tricky call at his second turn, and rather than rebid two no-trump with two small in an unbid suit, he invents a diamond suit to show his extras through a reverse. Yes, a simple rebid of three clubs would not be that much of an underbid.

The continuation over a reverse in an uncontested auction is one that is the subject of much controversy. In the past, everything that sounded non-forcing would have been construed as such. But a more popular style these days would be to use a call of two no-trump (or even two hearts) as artificial and setting up non-forcing auctions. Thus, North’s call of three clubs shows a game-forcing hand with support, and when South re-raises himself to four clubs, North decides to take a shot at slam.

After a heart lead, South wins the ace and is faced with a possible loser in trump and an immediate loser in hearts. Instead of taking an immediate club finesse, South follows a line to give himself an extra chance with almost no risk. He wins the heart ace, cashes his top spades, then leads a diamond to dummy and plays a third spade. Whether or not he should let this run if a small spade appears from East on the third round of the suit, the sight of East’s queen is enough to gladden declarer’s heart. He ruffs with the ten, cashes the club ace, and leads a diamond to dummy to play the winning spade, pitching his heart, and losing only to the club king.

Note: six clubs is easier to make than three no-trump!

When West overcalls two hearts over one spade, North has just enough for a negative double. South is close between an invitational jump to three spades and bidding game, and his 100 honors in spades persuade him to go high.

West has a natural lead of the heart king, and South wins with the ace, since he can see no reason to duck. Declarer will need to find a way to bring the diamonds into play, but it may be best to disguise his intentions initially by playing the spade queen. When West ducks, the queen scores, and declarer craftily continues with the 10. This time, West decides to win and cash the heart queen. When everyone follows, West knows that to have any chance to defeat the contract, East must hold precisely the diamond ace — since if declarer has both top diamond honors and has played sensibly, the contract will be cold.

Furthermore, East needs a minor club honor, and now desperate measures are called for because declarer is threatening to take five spades, three diamonds and two aces. The desperate measures in question are to shift to the club king at trick four. If declarer ducks, the diamond ace will be the defenders’ fourth trick. If dummy wins the club ace, East can simply duck the first diamond, and the defenders will eventually come to a trick in each minor.

For the record, if South plays on diamonds at trick two, he should still be defeated with accurate defense.

The contract of three no-trump seems perfectly normal, but when the lead of the spade 10 from West goes to the queen and king, the contract may need careful handling. South must develop the diamonds to make his game, but the play to trick one strongly suggests that West may have well led from a suit headed by A-10-9. If East is allowed to lead a spade later, West will be able to run the rest of the spades. This may defeat the contract.

Establishing the diamonds safely is simple: South must cross to dummy, with a club rather than a heart, of course, and must lead the diamond queen, planning to duck the trick around to West. However, when East covers (as he surely will), declarer wins and goes back to dummy, again with a club, to take another diamond finesse, this time leading to the nine. When both opponents follow and the nine wins, declarer can cash out for at least 10 tricks, with five diamonds, three clubs and two major-suit winners.

There is no danger if West wins the first or second diamond trick and leads another spade, as long as diamonds are breaking. Likewise, if West is able to score his diamond 10 and continue the attack on clubs, declarer can unscramble his nine tricks in peace and quiet.

One problem may arise if West can take the second diamond and play a heart: Declarer will have to hope the heart king is with West, since otherwise the blockage in diamonds prevents declarer from running that suit.

Today’s deal came up in a teams game, where both tables reached the perfectly reasonable spot of six no-trump. In the first room, when the player sitting East saw his partner lead the spade nine, he won his ace and shifted to a club in an attempt to break up any pressure on his partner. A nice try — but not good enough; South won the ace, cashed the ace and king of diamonds, then ran all his major-suit winners ending in dummy. The three-card ending saw dummy with the diamond jack and two clubs, while South had the K-Q-8 of clubs in hand. West had to abandon control of clubs, and the club eight took trick 13.

When the teams scored up, South from the other room proudly announced plus 1440 as if expecting a swing in. When asked why, South explained how the defense had gone at his table, on the same lead. East had ducked both the first and second spade, so now South ran four rounds of hearts, pitching a diamond from hand, and forcing West to consider his last seven cards. He had to keep three diamonds and four clubs, so he let go of his remaining spade. Declarer cashed his clubs and threw West in with the fourth club, discarding a spade from the board, to force a diamond lead away from the queen for the 12th trick.

“Was that how the play went in your room?’ asked South. “For all intents and purposes,” responded his teammate, demonstrating once again that truth is very much in the eye of the beholder.

Today’s deal sees North stretch just a fraction to treat his hand as a game-forcing spade raise, then sign off upon finding short hearts opposite. South has more than enough to drive to slam (though pessimists could use Blackwood first if they prefer), since even facing the most unsuitable hand, there will probably be play for slam on most leads.

West is fortunate to have been dealt a sequence on lead, and that gives declarer no help. How should he play to combine his chances for 12 tricks? He has two slow losers (in clubs and diamonds) and two queens whose value he can exploit if he uses them efficiently. He can take a heart finesse and discard his diamond loser from hand, or he can lead to the club queen: If he finds West with the king, he can pitch his diamond loser from dummy on his top club.

It looks logical to win the diamond lead and draw trumps ending in hand, but then declarer has to commit himself, and the order of his plays is critical. He must play West for the club king by leading toward the club queen. If this fails, he still has time to take the heart finesse. Conversely, if he finesses in hearts first and loses, there is no second chance. He cannot avoid a club loser.

As the cards lie, West will take his king and return a diamond, but declarer can win and unblock clubs, then ruff a heart to hand to pitch the diamond loser from the North hand on the club ace.

Today’s deal is the last of this week’s themed hands, in each of which declarer has to play a single suit to best advantage with length in one hand and a singleton in the other.

As I look through the hands, I am struck by the fact that such similar combinations have such disparate solutions. No wonder bridge players go gray so early!

In today’s deal, South opens and closes the auction with a call of two hearts. When West leads the club 10, he appears to be relatively short of clubs — the threat of trump promotions is a real one. Declarer must start to draw trumps at once, and he can afford to lose two trump tricks but not three.

He wins the club lead in dummy and leads a heart to the king. If this loses to the ace, he will regain the lead and play the queen of hearts, then the nine. But when the heart king holds, declarer must decide which trump to lead next.

If East has the bare heart ace left then, declarer must lead a low heart from hand; but there is a much better chance that one defender or the other is left with a bare jack or 10 of hearts. (Note that to give himself a chance to set the contract, West would have to duck the heart ace if he started with A-J-fourth or A-10-fourth of hearts.) By leading out his remaining top honor, he can pin the jack or 10 and remain in control, losing just two trumps and three plain-suit top cards.

Today’s deal is another example of how to tackle a long suit facing a singleton. To my mind, the correct route in this one is somewhat counterintuitive. You declare three no-trump on a spade lead and put in the jack, expecting it to hold, since the lead appears to be fourth-highest from an honor. When East covers with the queen, you must win the king, and suddenly you are short of entries to establish the clubs. If you cross to dummy and lead a club to the jack and king, your only re-entry to hand is in hearts, so you will not be able both to set up and cash the clubs.

Therefore, you must go after diamonds rather than clubs, and you can afford to lose three tricks, but not four. If diamonds break, you have enough entries to set the suit up, so you must concentrate on the 4-2 breaks. What are the sensible options?

It seems logical to lead to an honor in dummy and duck the next diamond, which copes fine with the 4-2 breaks where West has both honors, and with two honors doubleton in West. This turns out to be exactly half the 4-2 breaks (15 of the 30 possible breaks).

But you can do better. If you duck both the first and second diamond, you will succeed whenever either East or West has one or both honors doubleton, and there are nine such distributions with either East or West. That gives you 18 of the possible 30 distributions where this approach wins, making it the best line.

This week we are looking at deals in which we must maximize our tricks in a suit where we have length facing a singleton. In each case, the question of which finesse to take, if any, is paramount.

In today’s deal, we reach three no-trump on a club lead and put up the queen so as to remain in dummy and go after diamonds. Should we plan to lead to the nine, jack or king? Our target is to play the suit for two losers if possible.

When the suit is 3-3, we have a blind guess as to which finesse to take. There are roughly equal numbers of winning positions where it is right to play the king, jack or nine, so let’s not expend any mental energy on these positions, but simply hope that fortune favors the prepared mind.

If the suit is 4-2, the one combination we can be sure to pick up is the doubleton 10. We will lead to either the king or jack and follow with the higher honor, squashing the 10. So, our first play must be to an honor – and note that the doubleton ace or queen to our left is a position that we cannot exploit even if we guess well.

Since we can deal with a doubleton 10 in either hand, we must look for other doubleton honors we can exploit. And the answer is that the only holding where our play matters is when East holds the doubleton queen. In that case, we must lead to the jack, then follow with the king if we want to play the suit for two losers. Low to the jack is the right play.

Today is our third themed deal of the week, in which we are looking for the most effective way to handle a suit where dummy has a singleton.

Unlike in chess, where thematic approaches tend to be relatively constant from game to game, in bridge it is often difficult, and sometimes nigh impossible, to extrapolate from one example to the next.

Here you declare four hearts on the lead of the spade jack. You win the trick with dummy’s ace and have to tackle the trumps to avoid losing more than two trump tricks.

In the absence of a vile side-suit break, you would appear to be home no matter what you do if trumps are 3-3, and virtually sunk if trumps are 5-1. What that means is that you should focus on how to negotiate 4-2 trumps. (Let us discount the deals where West has four trumps to two top honors since you will not be able to succeed in those instances.)

There are only two serious lines to consider: The first is leading to the jack, then following up with the ace. The second is leading to the ace, then leading out a low card. Cashing the ace and leading out the jack or 10 never gains and frequently loses.

Of the two lines, the first picks up six different positions where East has a four-card suit with both honors, but loses to eight lines where West has a doubleton honor. The second line is the mirror image of that, winning in the eight lines where the first fails, and losing to the six variations where the first succeeds.

So, the better line is to lead toward the ace (maybe East will err and split his honors), then lead low from hand.