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    Sunday, December 21st, 2008
    1:22 pm
    Bridge Column
                        The Greedy Overtrick (V)
    
                           by Stephen Rzewski
    
    
         Playing in the familiar matchpoint venue at the local club, I 
    pick up as dealer:
    
                    ♠ AJ6     ♥ AQJ104   ♦ AK2   ♣ 75
    
         This 19-count should certainly be upgraded with all its controls
    and excellent five-card suit, and as we play Puppet Stayman, I open 2NT. 
    The opponents are silent as my partner bids 3♣.  I respond 3♥, showing 
    five-card length (both calls are alertable), and partner raises to 4♥. 
    The auction has been:
    
                       S       W      N       E
                      2NT    pass    3♣      pass
                      3♥     pass    4♥    (all pass)
    
         LHO leads the ace of clubs, and I contemplate the play:
    
                                 ♠ K5
                                 ♥ K32
                                 ♦ 10764
                                 ♣ K1042
    
                                 ♠ AJ6
                                 ♥ AQJ104
                                 ♦ AK2
                                 ♣ 75
    
         The contract appears normal, and will likely be the one reached 
    at most tables.  Those who open 1♥ with my cards will typically be 
    given a single constructive raise by partner, or possibly a limit raise,
    perhaps resulting in a bad slam contract.  I can’t be concerned about
    the latter case, but I need to try to outscore the majority of pairs
    who will be in game, and that can only be accomplished on the basis 
    of overtricks.
    
         At trick #1, LHO’s lead of the ace of clubs fetches the jack from
    his partner. A low club is continued.  I seriously doubt that LHO would 
    have led the ace from AQxxxx with the strong hand on his right, even 
    with six of them, so I call for dummy’s king.  This turns out to be 
    correct, as RHO follows with the queen.
    
         With the ace of clubs onside, and what appears to be an almost certain
    diamond loser, I would expect the normal result to be 11 tricks, so if I want
    to score well, I must look for a way to take the remainder.
    
         The early play appears to have put me ahead of the game, as dummy’s
    ♣10 is now good for the discard of a loser, and may provide me with the
    12th trick I am seeking.  There is a problem, however:  since I can always
    ruff a spade in dummy, the ♣10 has value only if I can use it to get
    rid of a diamond.  If I draw trumps first, I won’t be able to ruff a spade,
    and if I ruff a spade first and then draw trumps, I will have no entry to 
    dummy to enjoy the good club.
    
         One possibility is to ruff a spade low, then draw two rounds of trumps,
    ending in dummy with the king, leaving one high trump outstanding if they 
    divide 3-2, then play the good club, hoping that the last trump will be in 
    the hand with the long clubs.  That seems to be against the odds, however, 
    as the hand with the long clubs is more likely to be short in hearts, meaning
    that RHO will probably be able to ruff the good club when I play it.
    
         I think there are better possibilities.  There is a way to play for
    diamonds to be 3-3 and set up dummy's 4th diamond for the 12th trick, and 
    if that chance doesn’t pan out, I can always fall back on the finesse of 
    the jack of spades for the second overtrick, which is a 50% chance in 
    itself.  So in the following position, at the 3rd trick:
    
                                   ♠ K5
                                   ♥ K32
                                   ♦ 10764
                                   ♣ 104
    
                                   ♠ AJ6
                                   ♥ AQJ104
                                   ♦ AK2
                                   ♣ ---
    
    I play the queen and jack of hearts, as both opponents follow suit.
    Now if I am going to try to establish dummy’s long diamond, I need
    to unblock the ace and king of that suit, taking the slight risk of
    having one of those cards ruffed by the opponent who holds the
    remaining trump.   Both opponents follow again, LHO contributing the
    jack.  I then lead a heart to dummy’s king, as LHO discards and RHO 
    follows with the last  trump.  Now I call for the 10 of clubs, RHO 
    discarding a low spade and I the deuce of diamonds.  Next comes a 
    low diamond from dummy, RHO playing the 9, I ruff, but the hoped-for 
    queen does not appear on my left, as that player discards a low club.
    So the following cards remain:
    
                                    ♠ K5
                                    ♥ ---
                                    ♦ 10
                                    ♣ 4
    
                      ♠ ?xx                       ♠ ?xx
                      ♥ ---                       ♥ ---
                      ♦  ---                      ♦ Q
                      ♣ 9                         ♣ ---
    
                                    ♠ AJ6
                                    ♥ A
                                    ♦ ---
                                    ♣ ---
    
         So should I now take the spade finesse?   
    
         Actually, at this point that finesse has become an illusion,
    as I can now be sure of 12 tricks even if my jack of spades were
    the deuce.  Instead of playing immediately on spades, I lead the 
    last trump, which creates a double squeeze:  LHO, who has to
    discard ahead of dummy, must keep his high club, lest dummy’s card 
    in that suit become good, and so lets go a spade.  Now I can discard
    dummy’s club, and the pressure then falls on RHO: he has to hold the
    queen of diamonds or dummy’s 10 will be established, and so must also
    discard a spade.  Since both opponents must be down to two spades in
    each hand, it must be right to first play the king, then ace of spades,
    making the last spade in my hand good, the full deal being:
    
                                    ♠ K5
                                    ♥ K32
                                    ♦ 10764
                                    ♣ K1042
    
                     ♠ Q1042                      ♠ 9873
                     ♥ 86                         ♥ 975
                     ♦ J5                         ♦ Q983
                     ♣ A9863                      ♣ QJ
    
                                    ♠ AJ6
                                    ♥ AQJ104
                                    ♦ AK2
                                    ♣ 75
    
         Of course, the result achieved would not have been possible had it
    not been for West's poor choice of opening lead, but when such opportunites
    are offered, one needs to exploit them to best advantage.
    Saturday, April 26th, 2008
    8:57 pm
    Bridge Column
    
                                                             
    
                         PLAYS I WISH I HAD MADE
    
                           by Stephen Rzewski
    
    
         Following are two hands that came my way in a team match
    at the Gatlinburg Regional which I failed to get right at the 
    table.  They are difficult problems, but not impossible.  See
    if you would have fared better.
    
         (1)The first is a play problem.  You are South, with the
     auction shown:
    
                              North
    
                             ♠ KQ2
                             ♥ 74
                             ♦ QJ763
                             ♣ K32
                                                                  
    
                              South
    
                             ♠ A109863
                             ♥ Q83
                             ♦ A2
                             ♣ Q7
    
                  W        N        E        S
                 1♥        P        P       1♠ 
                  P       2♥       dbl      4♠
                   (all pass)
    
    
         West leads the ace and king of hearts, East following 
    low-high.  West then shifts to the jack of spades.  How would 
    you proceed (be specific)?
    
    
         (2)The next hand is a defensive problem.  You are East,
    behind the dummy:
    
                                         
                      North
    
                     ♠ J109842
                     ♥ 5
                     ♦ K102
                     ♣ K74
    
                                         East
    
                                        ♠ 3
                                        ♥ AKQ2
                                        ♦ J9863
                                        ♣ AJ10
    
                      E        S        W        N
                     1♦       1♠        P       4♠   
                         (all pass)
    
         West leads the ace of diamonds, on which you discourage.
    Partner shifts to the 8 of clubs, implying that she does not 
    have the queen.  This puts you in something of a quandary: 
    if by some chance partner’s ace of diamonds was a singleton,
    it would be correct to win this trick so as to give her a 
    diamond ruff.  But if it should turn out that partner has 
    another diamond, then you will need two club tricks to beat
    the contract, and playing the ace would be wrong.  You decide
    to opt for the latter case and put in the 10, declarer winning 
    the queen.
    
         Declarer then plays the ace and king of spades, partner
    following twice, and indicating that declarer overcalled on a 
    4-card suit.  Then come three more spades, ending in the dummy,
    partner discarding two small hearts and a club.
    
         You follow to the first spade, but must then make four 
    discards.  Which cards do you throw away?
    
                    *********************************
    
    Answers:
    
         (1)At trick #3, you must play a spade honor from dummy 
    and overtake with the ace in your hand!  Next, lead your low 
    club toward the dummy.  The full deal:
       
                              North
    
                             ♠ KQ2
                             ♥ 74
                             ♦ QJ763
                             ♣ K32
    
                West                         East
    
               ♠ J                          ♠ 754
               ♥ AK1062                     ♥ J95
               ♦ K105                       ♦ 984
               ♣ A984                       ♣ J1065
    
                             South
    
                            ♠ A109863
                            ♥ Q83
                            ♦ A2
                            ♣ Q7
    
         On your play of the low club, West will be caught in a
    “Morton’s Fork” dilemma (see previous column with that title). 
    If he goes up with the ace, he will return either a heart or
    club, which you will win in your hand.  If he returns a heart,
    unblock the queen of clubs, then play two rounds of trumps, 
    ending in the dummy, and discard your diamond loser on the 
    king of clubs, having no further problems.
    
         If West ducks the ace of clubs, win the king and play 
    dummy’s low spade to your hand (you can now see the need for
    the first spade plays, since if you had not unblocked one of
    dummy’s honors earlier, you would have no convenient way to
    get back to your hand at this point).  Then play the queen 
    of hearts, discarding a club from dummy, and exit with a club,
    putting West on lead with the following cards left:
    
                                        
                                ♠ K
                                ♥ ---
                                ♦ QJ763
                                ♣ ---
    
               ♠ ---                             ♠ 7
               ♥ 10                              ♥ ---
               ♦ K105                            ♦ 984
               ♣ 98                              ♣ J10
    
                               ♠ 9863
                               ♥ ---
                               ♦ A2
                               ♣ ---
    
         With a trump still in dummy and the hearts and clubs
    eliminated from the N-S hands. West is endplayed, having to
    either give you a free diamond finesse, or a ruff in dummy 
    and sluff of your low diamond, should he play either a heart 
    or a club.
    
    
         (2)On the defensive problem, you may discard one diamond 
    only, then throw away your ace, king, and queen of hearts! 
    The full deal:
    
                                North
    
                               ♠ J109842
                               ♥ 5
                               ♦ K102
                               ♣ K74
    
                West                             East
    
               ♠76                              ♠ 3
               ♥J87643                          ♥ AKQ2
               ♦ A                              ♦ J9863
               ♣ 8653                           ♣ AJ10
    
                               South
    
                              ♠ AKQ5
                              ♥ 109
                              ♦ Q754
                              ♣ Q92
    
         From your standpoint, if partner did in fact start
    with a singleton ace of diamonds, then declarer has four,
    and you must keep equal length with him in that suit, lest 
    his 4th diamond become good for the game-going trick (partner
    should help you here by making an early discard of a diamond, 
    if she has one).  So you must discard three hearts.  Look what
    will happen on the actual layout if you come down to a stiff 
    honor in that suit.  Leaving one trump in dummy, declarer 
    will test the diamonds by playing the king, then the 10 (which
    you will cover) to his queen.  Knowing that you have a high
    diamond left, he will ruff his small diamond with dummy’s last
    trump, then lead a heart.  Forced to win that trick, you will
    now be endplayed in clubs and obliged to concede a trick to 
    dummy’s king.
    
         So you must simply throw all of your heart honors away
    and hope for partner to hold the jack, so that in the end 
    she will get in with that card and play a 2nd club through 
    the dummy.
    
         It appears that your side can make 11 tricks in hearts,
    but it is difficult to bid 5H over the opponents’ 4S, unless
    either your hand elected to open 1H, or if partner made an 
    understrength negative double over South’s overcall.
    Friday, February 8th, 2008
    11:08 pm
    Bridge Column
    
    
                         The Greedy Overtrick (IV)
    
         Playing in a matchpoint contest at your local club, you pick up:
    
                    ♠ ---   ♥ AJ8652   ♦ A1095   ♣ A42
    
         You are vulnerable, the opponents not, and partner, who is the dealer,
    passes.  RHO opens 1♠.   You overcall 2♥, LHO passes, and partner raises to
    4♥, which is passed all around.  LHO leads the ♠10, and you now face the
    following play problem:
    
                             ♠ AJ7654
                             ♥ K1074
                             ♦ J3
                             ♣ 5
                                                                       
    
                             ♠ -----
                             ♥ AJ8652
                             ♦ A1095
                             ♣ A42
    
         It looks as though you have missed a reasonable slam, since there are 
    layouts that may well offer 12 tricks.  However, slam is unlikely to be bid
    when there are so many high-card points missing, so you should assume that
    the contract figures to be the normal one reached at most, if not all the
    other tables.  If you are going to outscore the other declarers, it will 
    have to be on the basis of overtricks.  
    
         If the hearts are divided 2-1, you can draw two rounds of trumps, 
    ruff your two small clubs in dummy, discard a diamond on the ace of 
    spades, and take a double finesse in diamonds.  As the opening bidder,
    RHO is a heavy favorite to hold at least one diamond honor, so this 
    line appears to have a good chance to produce 12 tricks.  If you look
    deeper, though, you might see an additional extra chance, giving you 
    an ultimate pig line that could result in bringing in all 13…..  
    
         On first glance, dummy’s spades look too anemic to amount to 
    anything, especially with RHO bidding the suit and promising at least
    5-card length.  However, if RHO has only five spades, and LHO has 
    led from either 10-9 or 10-8 doubleton, dummy’s spade spots may be
    worth more than one might initially think.
    
         To begin with, there is no need to play the ace of spades at 
    trick #1.  Instead, cover the 10 with the jack.  This will force 
    RHO to play the queen, which you will ruff.  You now play the ace 
    of hearts, and breathe a little sigh of relief as both opponents 
    follow, RHO showing the queen.  Next comes a heart to dummy’s 10 
    to draw the last trump, RHO discarding the king of clubs to show 
    a solid sequence.  Now you play the ace of spades, on which RHO 
    plays the 2, you discard a low diamond, and LHO—bless his soul—
    contributes the hoped-for 8-spot.  The position is now, with the
    lead in dummy:                                            
                                                                  
                       ♠ 7654
                       ♥ K7
                       ♦ J3
                       ♣ 5                                
                                     
                                       (RHO)
                                       ♠ K93  
                                       ♥ ---     
                                       ♦ K72
                                       ♣ QJ10
    
                       ♠ ---
                       ♥ J865
                       ♦ A109
                       ♣ A42
    
         Dummy’s spade spots have suddenly become powerful enough to 
    take two ruffing finesses through RHO’s remaining high spades.  
    Lead the 7, intending to discard a diamond if next hand plays low.
    When he covers with the 9 instead, ruff in hand, then play the 
    ace of clubs and ruff a club back to dummy.  Now lead another 
    spade, forcing RHO to cover with the king, which you ruff again.
    Dummy’s lowly 5-4 of spades are now established.  Ruff your last 
    club in dummy, play those good spades, and away go your two low
    diamonds, scoring +710.  The full deal:
    
                              ♠ AJ7654
                              ♥ K1074
                              ♦ J3
                              ♣ 5
    
                                       
              ♠ 108                          ♠ KQ932
              ♥ 93                           ♥ Q
              ♦ Q864                         ♦ K72
              ♣ 98763                        ♣ KQJ10
    
    
                              ♠ ----
                              ♥ AJ8652
                              ♦ A1095
                              ♣ A42
    Monday, August 20th, 2007
    9:41 pm
    Bridge Column
                       THE GREEDY OVERTRICK (III)
    
                           by Stephen Rzewski
    
           matchpoints
           vul: none         
                                North
    
                               ♠ Q109652
                               ♥ A82
                               ♦ 84
                               ♣ A2
    
                                South
    
                               ♠ AK743
                               ♥ 6
                               ♦ A9653
                               ♣ 54
    
             bidding:   S     W     N     E
                       1♠    4♥    4♠ (all pass)
    
                        opening lead: ♥K  
    
         Today's deal, from a local club game, once again
    illustrates our repeated theme: the contract appears to
    be normal and will make easily, with just two apparent
    losers.  Not one to settle for a tired average of +450,
    can you delve more deeply and find the path to +480,
    earning yourself a top in the process?  Trumps are 2-0,
    with West being void.  Plan the play.
    
                  ****************************
    
         The complete deal:
    
                              ♠ Q109652
                              ♥ A82
                              ♦ 84
                              ♣ A2
    
                 ♠ -----                  ♠ J8
                 ♥ KQJ10973               ♥ 54
                 ♦ J7                     ♦ KQ102
                 ♣ KQ108                  ♣ J9863
    
                                                                       
                             ♠ AK743
                             ♥ 6
                             ♦ A9653
                             ♣ 54
    
         For some reason, even many experienced players seem
    to have a blind spot when it comes to the possibility of
    setting up a long-suit winner.  Having escaped a club lead,
    you have the opportunity to establish your 5th diamond for
    a club discard from dummy, as long as the diamonds split no
    worse than 4-2.
    
         Win the ace of hearts, draw two rounds of trumps, leaving
    one high trump in your hand, then duck a diamond.  If a heart
    is returned, ruff in your hand, play the ace and another diamond,
    ruffing in dummy.  When West shows out, ruff dummy's last heart
    to get back to your hand for a 4th diamond play, again ruffing
    in dummy, and establishing the long diamond in your hand.  Now 
    lead a trump to your ace, play your last diamond and discard
    dummy's small club, scoring up 12 tricks.
    Tuesday, August 14th, 2007
    11:10 pm
    Bridge Column
                   ONE GOOD COUP DESERVES ANOTHER
    
                        by Stephen Rzewski
    
              IMPs
              vul:  N-S
                             ♠ A7
                             ♥ 653
                             ♦ 842
                             ♣ KQJ104
    
                ♠ K1095                  ♠ 863
                ♥ KQ1094                 ♥ 82
                ♦ 93                     ♦ QJ1076
                ♣ 83                     ♣ A92
    
                             ♠ QJ42
                             ♥ AJ7
                             ♦ AK5
                             ♣ 765
    
                bidding:   S      W      N      E
    
                          1NT    2♦*    2♠      P
                          2NT     P     3NT  (all pass)
    
                        opening lead:  ♥Q
    
         In today's deal, both defense and declarer engaged in a
    series of thrusts and parries before one side could ultimately
    prevail.  The bidding and opening lead may warrant some
    explanation:  West's somewhat aggressive 2♦ overcall conven-
    tionally promised both majors.  North's 2♠ call was a cue-bid
    showing game interest with a stop in that suit. The lead of the
    queen from the combination of KQ109 asks partner to play the jack
    if he has it; failing that, to give count.  Accordingly, East
    signaled with the 8.
    
         South saw the need to hold up the ace of hearts at trick #1.
    In order to make his contract, he has to establish club tricks.
    Assuming that West holds all the missing major-suit honors, there
    is no danger on the hand if he also holds the ace of clubs.  But if
    declarer wins the first trick and it turns out that East holds the
    ace, that defender will lead a heart through declarer's J-x, and the
    defense will run four more heart tricks.
    
         The hold-up with AJx when both missing honors can be placed
    on the left is called a "Bath Coup", named from the long-ago days
    of whist and having some connection with the place of that name
    in England. It is actually a simple maneuver which comes up
    frequently in both notrump and suited play.  Its effect is to
    prevent the defense from continuing the suit without giving up a
    2nd winner for declarer.  Since it typically forces the defense
    to play on other suits, declarer may not want to make this play
    if he fears a shift to something else.
    
         West contemplated what to do next.  It seemed to him that
    if declarer held the ace of clubs, he was likely to fulfill his
    contract, so he hypothetically placed that card in his partner's
    hand.  It might be possible for the defense to duck early club
    leads and isolate the long cards in the dummy, but the ace of
    spades would still be there for a late entry.  West therefore
    decided that it might be advisable to play on spades.  It would
    do no good to lead a low spade if declarer held the queen, so
    West played the king (!) of spades at trick #2.
    
         This sacrifice of an unsupported honor, the intent of
    which is to kill an entry to dummy, is known as a "Merrimac
    Coup".  In this particular case, it resulted in giving declarer
    three spade tricks instead of two, but the investment may come
    back by possibly depriving declarer of at least two of the long
    clubs.
    
         South won with the ace (it would do no good to duck, since
    West would just lead a 2nd spade) and then played the king and 
    queen of clubs.  As one would expect with good defenders, West
    played high-low in clubs, indicating a doubleton, and East
    recognized the need to hold up his ace of clubs for two rounds,
    leaving the following cards:
    
                             ♠ 7
                             ♥ 65
                             ♦ 842
                             ♣ J104
    
                ♠ 1095                   ♠ 86
                ♥ K1094                  ♥ 2
                ♦ 93                     ♦ QJ1076
                ♣ ----                   ♣ A
    
                             ♠ QJ4
                             ♥ AJ
                             ♦ AK5
                             ♣ 7
    
         South has scored the ace of spades and two clubs,
    and he has five more top winners.  It now looks as though
    he is headed for down one.  But declarer had one more
    trick up his sleeve:  he knew that West would not have made
    his two-suited overcall without at least nine cards in the
    major suits, and since he had followed to both club leads, 
    he could not have more than two diamonds.  So South executed
    a play known as the "Dentist Coup" by playing the ace and
    king of diamonds, thereby extracting West's potential exit
    cards in that suit.  He then cashed the queen and jack of
    spades and exited with his last spade.  West was in with
    the 10, and with nothing left in his hand but hearts, he
    was endplayed and forced to lead into South's ace-jack
    tenace, enabling declarer to score the game-going trick
    with the jack of hearts after all.
    9:58 pm
    Bridge Column
                   THE GREEDY OVERTRICK (II)
    
                          by Stephen Rzewski
    
           Matchpoints                      
                             ♠ K
                             ♥ KQ108
                             ♦ A72
                             ♣ AK1064
    
                             ♠ 87532
                             ♥ AJ942
                             ♦ 6
                             ♣ 83
    
           bidding:  N      E      S      W
                    1♣      P     1♥     2♦  
                    4♥     (all pass)
    
                    opening lead: ♦K  
    
         This deal came up at a local club game, slightly
    amended.  With such poor spades and a weak hand overall, 
    South decided to show his better suit, thinking that he
    may get only one opportunity to bid, and he might not want
    to play spades anyway unless partner could bid them.  Just
    as in our previous example on this subject, the contract is
    normal and will undoubtedly be the one played at most
    tables.  In order to achieve a good matchpoint result, it
    may be necessary to bring in overtricks that might be missed
    by the rest of the field.  How would you plan the play?
    
         When a hand is two-suited, it is usually good strategy
    for declarer to try to establish his second suit, ruffing leads
    of that suit in the dummy, if necessary.  Ruffing in the hand
    with shorter trump length (typically dummy) usually gains tricks
    as well, since the greater trump length in declarer's hand is
    maintained in the process.  In this case, however, declarer's
    spades are so poor and difficult to establish that it is better
    to work on the superior club suit and make dummy the master
    hand.  Since the most likely club division is 4-2, one may have 
    to ruff clubs twice in order to make the 5th club good.
    
         There is a further advantage in making dummy the master
    hand:  since declarer's hand has a singleton diamond, both of
    dummy's small diamonds can also be ruffed out.  The technique
    of ruffing in the long hand to the point where dummy's trump
    length eventually exceeds that of declarer's is known as
    "reversing the dummy".  For this type of play to be successful,
    one needs:  (1) trumps in the short hand which are strong
    enough to eventually draw the opponents' trumps (assuming that
    trumps will need to be drawn), (2) a number of ruffs to be 
    available in the long hand, which will result in a total net
    gain of tricks, and (3) sufficient entries to the short hand
    needed to execute those maneuvers.
    
         In this example, you may want to take as many as four
    minor-suit ruffs in your hand, and you will therefore need to
    delay the drawing of trumps and make maximum use of dummy's
    entries.  Accordingly, win the opening lead with the ace of
    diamonds and ruff a diamond immediately.  Next play a club
    to the king, ruff dummy's last diamond, and then play a second
    club to dummy's ace.  Both opponents follow to this trick,
    leaving:
    
                            ♠ K
                            ♥ KQ108
                            ♦ ----
                            ♣ 1064
    
                            ♠ 87532
                            ♥ AJ4
                            ♦ ----
                            ♣ ----
    
         Now lead a third round of clubs from dummy.  On
    the actual hand, East will follow with the jack, and
    you should take care to ruff high to prevent a possible
    overruff, which proves to be necessary, as West shows
    out, discarding a diamond.  Now lead your low trump to 
    dummy, and when both opponents follow, you are assured
    of twelve tricks.  Lead a 4th round of clubs next; East
    will play the queen as you ruff with your last trump 
    in hand, the ace.  Dummy's 5th club is now good.  At
    this point, simply exit with a spade, conceding that
    trick, then ruff the continuation and draw the remaining
    trumps with the KQ in dummy.  The full deal:
    
    
                            ♠ K
                            ♥ KQ108
                            ♦ A72
                            ♣ AK1064
    
               ♠ AQJ4                    ♠ 1096
               ♥ 7                       ♥ 653
               ♦ KQJ1093                 ♦ 854
               ♣ 97                      ♣ QJ52
    
                            ♠ 87532
                            ♥ AJ942
                            ♦ 6
                            ♣ 83
    
         As one might expect, the majority of scores on this
    deal were +620 and +650; only two pairs found the dummy
    reversal and tied for top with +680.
    Monday, May 14th, 2007
    9:51 pm
    Bridge Column
    
                       DEPT. OF DEFENSE
    
                      by Stephen Rzewski
    
      Problem #1:
    
        matchpoints        North
        vul:  none        (dummy)
    
                          ♠ J1082
                          ♥ 1097
                          ♦ AK9
                          ♣ Q64
    
           West                                           
          (you)
    
          ♠ K65                                                
          ♥ J5                                               
          ♦ 1076                                                 
          ♣ AK873
    
    			
         bidding:   W      N      E     S
                  pass   pass    1♦    1♥
                   2♣     2♥     (all pass)       
    
    	You start with the ace-king of clubs, partner
    following first with the jack, then the 10.  You continue 
    with the 8 of clubs (asking for a spade return).  Partner
    ruffs with the 8 of hearts and dutifully returns the 9 
    of spades.  Declarer pauses for a moment, then follows 
    low, as you win with the king.  Now what?
    
                 *****************************
    
      Problem #2:
    
    		
                           North
                          (dummy)
    
                          ♠ Q972
                          ♥ 865
                          ♦ K94
                          ♣ AK4
    
           West                                            
          (you)
    
          ♠ 543                                                
          ♥ QJ10                                                
          ♦ J86                                               
          ♣ J976
    
                                          
          bidding:    S      W      N      E
    
                     1NT   pass    2♣     pass
                     2♠    pass    4♠    (all pass)
                         (1NT = 15-17 hcp)
    
    	You lead the queen of hearts, and upon seeing 
    dummy, reflect that in North’s place you would have 
    eschewed Stayman and bid 3NT directly with the flat
    distribution.  Partner signals encouragement with the
    7, as declarer wins the ace.  Declarer then draws trumps
    with the ace, king, and jack from his hand, partner 
    following twice before discarding the deuce of hearts. 
    Declarer then plays the ace-king of clubs and a low 
    club to his queen, everyone following.  Then he exits 
    with a heart; you play the 10, and partner overtakes 
    with the king before playing a 3rd heart to your jack, 
    once again everyone following suit.  What do you now 
    play, looking at:
    
    		
                                                                     
                             ♠ Q
                             ♥ ---
                             ♦ K94
                             ♣ ---
    
                                       
              ♠ ---                                               
              ♥ ---                                              
              ♦ J86                                              
              ♣ J                                    
    
                     **************************
    
       Problem #1:
                                       
                             ♠ J1082
                             ♥ 1097
                             ♦ AK9
                             ♣ Q64
    
            ♠ K65                          ♠ Q94
            ♥ J5                           ♥ KQ8
            ♦ 1076                         ♦ QJ832
            ♣ AK873                        ♣ J10
    
                             ♠ A73
                             ♥ A6432
                             ♦ 54
                             ♣ 952
    
    	You should lead your lowest club, asking partner
    to ruff as high as he can, so as to achieve an “uppercut”
    and promote your jack of hearts.  Partner figures to have
    two trumps remaining after the club ruff; if he holds
    either K-x or Q-x, declarer will be able to pick up the 
    remaining trumps unless you make this play now.  At this
    point, you are perhaps not being so optimistic about 
    setting the contract, but it is matchpoints, and overtricks
    can be very significant in this kind of situation.  As it
    is, partner’s trump holding is stronger than you anticipated,
    and your play results in scoring two more trump tricks 
    instead of one, since if declarer gets in quickly, he can 
    play ace of hearts and another, bringing down your
    remaining trumps together and scoring up his contract. 
    Result:  down one instead.
    
       Problem #2:
                              ♠ Q972
                              ♥ 865
                              ♦ K94
                              ♣ AK4
    
            ♠ 543                            ♠ 108
            ♥ QJ10                           ♥ K742
            ♦ J86                            ♦ A1032
            ♣ J976                           ♣ 1032
    
    
                              ♠ AKJ6
                              ♥ A93
                              ♦ Q75
                              ♣ Q85
    
    	Playing the jack of clubs in the end position 
    will give declarer a ruff-and-sluff, so you must break 
    the diamond suit, but you must do so with extreme caution.
    Declarer has shown up so far with 14 high-card points, 
    so you know precisely that he holds the queen of diamonds
    and partner holds the ace.  If declarer has the 10, the 
    party is over, so place that card in your partner’s hand
    as well.
    
         If you lead the 6, declarer will play low from dummy,
    and your partner will have to put up the 10 to force the 
    queen.  Declarer can now lead low to the 9 and force 
    partner’s ace, losing only one trick in the suit.  If you
    start with the jack, declarer may go wrong if he plays you 
    for the 10, but if he reads the position, he can put up 
    dummy’s queen.  Partner can win the ace, but he will be 
    endplayed by having to lead away from the 10 to dummy’s 9.
    
         It is critical that you lead the 8 of diamonds, the 
    only choice that is foolproof.   If the 9 is played from
    dummy, partner will cover with the 10, declarer winning 
    the queen.  If the 7 is played next, you must cover with 
    the jack:  the king and ace will be played over those cards,
    and your 6 will become the setting trick!  
    
    	For those of you who recall our previous column 
    entitled “Surrounding Play”, you will see that the lead of 
    the 8 is a play of that type, as declarer’s 7 is effectively
    surrounded and captured by your J-6.
    Thursday, May 10th, 2007
    4:01 pm
    Bridge Column
    
    
                     Double-Dummy Problem
    
    	               North
    
                          ♠ 3
                          ♥ AK7
                          ♦ KJ1065
                          ♣ KJ86
    
             West                        East
    
            ♠ A92                       ♠ Q5
            ♥ J10654                    ♥ 9832
            ♦ A72                       ♦ 983
            ♣ 102                       ♣ A974
    
                           South
    
                          ♠ KJ108764
                          ♥ Q
                          ♦ Q4
                          ♣ Q53
    
    
    	South is to play the contract of 4♠ with the
    opening lead of the ♣10.  In a “double-dummy” problem,
    the reader is allowed to look at all four hands and 
    find a solution which requires optimal play by both 
    sides, declarer and defenders.  In this case, you are
    to decide whether you would prefer to declare or defend,
    which essentially means:  do you think that the best
    line of play by declarer will necessarily result in
    fulfilling the contract, or do the opponents have 
    defensive plays that must inevitably result in defeat
    of the same?  
    
    	When you believe you have arrived at a solution,
    it is advisable to look more deeply.  Check and see if 
    the opposing side has a counter-play that may have to 
    send you back to the drawing board.  If you get stuck,
    start reading below, where you will find the answer 
    revealed in a Socratic-like fashion in increasing stages.
    
           *******************************************
    
    	On the surface, it looks as though the contract
    should make fairly easily.  Suppose East wins the ace 
    of clubs and returns another.  Declarer wins in dummy, 
    leads a spade and finesses the 10.  West wins the ace 
    (if he ducks instead, declarer plays the king of spades
    next to smother the queen), but can do declarer no harm,
    who eventually will lose only the three outstanding aces.
    So what can the defenders do to make declarer’s life 
    more difficult?
    
    	For the defense to have any chance, East must
    duck the ace of clubs at trick #1.  (As an aside, this
    is a good play to remember generally, when you suspect 
    that partner may have led from a doubleton, and you 
    have no side entry).  Ducking the ace maintains a link
    with West, who, upon gaining the lead with either of
    his aces, will play a 2nd club.   East will then win 
    the ace and give his partner a club ruff for the setting 
    trick.  Can declarer do anything to avoid the ruff?
    
    	Declarer can avoid the ruff if he can get rid 
    of his clubs.  If dummy had another fast entry, one 
    could play off the queen of hearts, then discard two 
    clubs on the ace-king in dummy.  As it is, if he cashes
    the queen of hearts and then tries to reach dummy with
    a diamond, West will seize the ace and play a second 
    club as before, so that won’t work  Will it help declarer 
    to overtake the queen of hearts in dummy and discard 
    one club on the remaining heart honor?
    
    	This will reduce declarer to one club, the same
    length as West, but the weak trump spots will prove to be
    an Achilles’ heel.  After playing two hearts, declarer
    can lead a spade and finesse the 10.  West will win the
    ace, and before leading a 2nd club to his partner, will
    likely show good technique by cashing the ace of diamonds
    before the mice can get at it.  Now in with the ace of 
    clubs, East will play a 3rd club, which will then sink 
    declarer:  if he ruffs low, West will overruff with the
    9 for the setting trick; if declarer ruffs instead with
    the jack, he will survive for the moment, but West will 
    simply discard, and the 9 of spades will be promoted in
    the process and eventually score.  So discarding just 
    one club simply won’t work.  Is declarer therefore doomed,
    or does he have a way of getting around the trump promotion?
    
    	Try instead the effect of overtaking the queen 
    of hearts with the king, discarding a club on the ace, 
    then playing dummy’s low heart and....   discarding the 
    last club from the closed hand!  This “loser-on-loser” 
    play trades a club loser for a heart loser.  If East wins 
    and plays a 2nd club now, declarer can afford to ruff low,
    because West still has a club in his hand, and the trump 
    promotion will be avoided.  Declarer will still have a 
    slow entry to dummy via the diamonds to make the trump 
    lead to the 10, and West will not be able to get to his
    partner for another club play.  So it appears to be correct
    to choose playing the hand over defending after all.     
    .....or is it?   (better look again)
    
    	Suppose the defender who wins the third heart 
    (on which declarer discarded a club) continues by playing
    a 4th round of hearts.  Declarer must ruff in his hand, 
    as he has to preserve the spade in dummy for a trump 
    lead through East.  Now when he leads a diamond to reach
    dummy, West will grab his ace and play...   his last heart! 
    East will cooperate by ruffing with the queen of spades 
    (this play of a high trump to create a trump promotion 
    in the opposite hand is called an “uppercut”; see our 
    previous column entitled “Missed Opportunity”).  Once 
    again, the 9 of spades will ultimately provide the setting
    trick.  
    
    	If you elected to defend—but only because you
    foresaw all of the above—take a long, sweeping bow.
    
     	My thanks to Bud Biswas for forwarding this 
    intriguing deal to my good friend Jeff Lehman, who 
    passed it along to me.  Bud informs me that he found
    the problem in a book written by Dr. Andrew Diosy,
    a Hungarian doctor who is living (or used to live) in
    Canada.  
    
    	Many double-dummy problems are less practical
    than this one, because they often are of a more puzzle-
    like nature, with peculiar card layouts and solutions
    involving plays that would be unrealistic to find at 
    the table.  This deal, though, is more instructive in
    that it contains possible plays that occur with some 
    frequency, and which are often missed by the average 
    player.  Note particularly:  (1) the duck of the ace 
    of clubs at the first trick; (2) the loser-on-loser 
    play to avoid the ruff and sever communication between
    the defenders, (3) the possible trump promotion by 
    leading a suit through declarer’s hand in which both
    declarer and LHO are void, and (4) the uppercut.  The
    trump position especially is one to study and remember:
    
    		        x
    
                  A9x                 Qx
    
                         KJ10xxxx
    
    Just one last point:  suppose that, even before any 
    trumps were played at all, East had the opportunity 
    to lead a side suit in which both South and West were
     void.  If South were to ruff with the 10 or jack, 
    West must resist the impulse to overruff with the ace 
    and discard instead, in order to promote his 9.
    Saturday, January 13th, 2007
    1:09 pm
    Bridge Column
    
    
                      Department of Defense (IV)
    
                         by Stephen Rzewski
    
    
                               North (dummy)
    
                                 ♠A1064
                                 ♥A972
                                 ♦K109
                                 ♣Q2
    
                West (you)                                            
    
                  ♠J92                                                  
                  ♥J103                                            
                  ♦874                                         
                  ♣AK63         
    
              bidding:   N     E     S     W
                        1♦     P    1♥     P
                        2♥     (all pass)
    
    	Recently, a defensive problem involving a particular card
    combination came my way, which you will see from time to time, so 
    it is worth confining to memory.
    
    	You start the defense with the ace and king of clubs, partner
    playing low-high and declarer contributing the jack on the second round.
    You switch to a diamond.  Partner shows up with the ace and queen, so 
    he wins two more tricks and exits with a third diamond, declaring 
    winning the jack.  A heart is played to dummy’s ace, partner following 
    with the queen.  A second heart goes to declarer’s king, who then throws
    you in with a third heart, partner discarding clubs on the last two tricks.
    What do you now play, looking at:
    
    	                          ♠A1064
                                      ♥9
                                      ♦ ---
                                      ♣ ---
    
                      ♠J92
                      ♥ ---
                      ♦ ---
                      ♣ 63
    
    	Declarer appears to have three spades and two trumps left in his
    hand.  You will have to break the spade suit, as a club play now will 
    give declarer a ruff-and-sluff.  If partner has the king of spades, you 
    will always get one more trick, so the relevant case is when partner has 
    the queen and declarer the king.  
    
    	You might get away with leading the deuce, if partner has the 
    8-spot and puts in that card if declarer calls for a low card from dummy. 
    However, if it turns out that declarer has the 8, he will either win the
    trick cheaply with that card, or if partner puts up the queen, declarer 
    will then have a finessing position over your jack with dummy’s A-10.   
    
    	Suppose you lead the 9, trying to get partner to withhold the 
    queen unless dummy’s 10 is played.  If you do that, and declarer turns 
    out to have good spots (8-7), the play will go: 10, queen, king, and he
    will now be able to run those spot cards through you and pick up your jack.
    
    	The play that covers all the bases is to start with the JACK. 
    This renders declarer helpless.  If he plays dummy’s ace, followed by 
    the 10, you will always score the 9, provided that partner covers the 
    10 with the queen.  The full deal:
    
                                                                     
                                  ♠A1064
                                  ♥A972
                                  ♦K109
                                  ♣Q2
    
                                       
                     ♠J92                        ♠Q53
                     ♥J103                       ♥Q
                     ♦874                        ♦AQ65
                     ♣AK63                       ♣109875
    
    
                                  ♠K87
                                  ♥K8654
                                  ♦J32
                                  ♣J4
    10:11 am
    Bridge Column
    
    
                         THE GREEDY OVERTRICK
    
                          by Stephen Rzewski
    
    
              matchpoints
              neither vul
              dlr:  North
    
                               North
    
                               ♠A74
                               ♥A962
                               ♦Q62
                               ♣A65
    
    
                               South
    
                               ♠5
                               ♥K10873
                               ♦AJ9
                               ♣KQ82
    
    
                  bidding:   N     E     S     W
                      
                            1♣    2♠    3♥     P
                            4♥   (all pass)
    
                          opening lead:  ♠2
    
    
    	One of the most important areas of matchpoint play that can
    help generate winning games is the matter of overtricks.  This is 
    especially true when it becomes apparent that a normal contract has 
    been reached which figures to make easily.  Declarer may easily become
    complacent and inattentive and miss an opportunity to make a precious
    overtrick, which could turn an average result into a top.  Likewise, 
    a defender can similarly lose concentration and allow declarer an 
    extra trick to which he is not entitled, converting an average into 
    a bottom.  One such play on a 26-board session can easily affect one’s
    score by about two percentage points, a considerable gain at matchpoints.
    
    	In today’s deal, which occurred at a recent club game, the 
    bidding and contract appear routine, and are likely to be the same at 
    all tables.  What would be your general line of play?
    
    	If the trumps are 2-2, twelve tricks will be easy.   If the 
    clubs should divide 3-3, one of dummy’s diamonds can be discarded on 
    the 13th club, and the diamond finesse can be taken for all thirteen 
    tricks.  If the clubs do not split evenly, there are still some possible
    ways to finesse the diamonds so as to avoid a loser in that suit.  With 
    East pre-empting in spades, however, he figures to have shortness 
    somewhere, so some suits will undoubtedly split unevenly.  To begin, 
    how should one play the hearts?
    
    	It is better to start the play of trumps with the king rather
    than with dummy’s ace.  If the hearts are not 2-2, the length is more 
    likely to be with West.  If East should play an honor on the first lead,
    the percentage line on the second trump play would be to play West for
    honor-third and  finesse dummy’s 9, in accordance with the Law of 
    Restricted Choice.  
    
    	Because there may be an endplay possibility on the hand, one 
    should use the opportunity of being in dummy at the first trick to ruff 
    a spade before touching trumps.  Then at trick #3, play the king of hearts.
    Both opponents follow low, and when you lead a second trump to dummy’s ace,
    West plays the jack and East shows out, discarding a spade. So you will 
    have one sure trump loser.  Now lead dummy’s last spade and ruff in hand,
    West following.  With the following cards remaining, how would you now 
    proceed?
    
                                  ♠ ---
                                  ♥96
                                  ♦Q62
                                  ♣A65
    
    
                                  ♠ ---
                                  ♥8
                                  ♦AJ9
                                  ♣KQ82
    
    	It behooves one to count the hand as you play, as the best 
    continuation may depend on the opponents’ distribution.  East should 
    have six spades for his weak jump overcall and has followed to one heart;
    so he has six cards in the minors.  Suppose you were to test the clubs 
    and find them to be 4-2, with length in the East hand.  That would give
    him two diamonds.  In that case, your best play to avoid a diamond loser
    and score twelve tricks would be to hope that he started with exactly 
    K-x doubleton.  You should accordingly lead a low diamond from dummy, 
    finesse the jack, and if it holds, play the ace next to drop the king.
    
    	If instead it should turn out that West holds four clubs, that 
    would leave East with two, and that hand would therefore have four diamonds.
    In that case, your only play for the second overtrick would be to hope that
    he started with K10xx.  Holding the AJ9, you should plan on taking two 
    diamond finesses through East, first leading the queen, and if that card 
    is covered, winning the ace and getting back to dummy to finesse the 9. 
    The ace of clubs and a ruff of the 4th club will provide the necessary 
    entries. The odds of this play succeeding are small, but are essentially 
    on the house, since there is no danger of losing any additional trick if 
    the double-finesse fails.  (It is somewhat better to start with the queen 
    rather than low to the 9, since a careless East might make a mistake and 
    fail to cover the queen with Kxxx).  
    
    	To be in the best position to make your choice of plays, first 
    play the king and queen of clubs, then low to the ace on the third round 
    so as to end up in dummy (if West should ruff in, he will be obliged to 
    play a diamond, since he will have no other suit left, which presents you 
    with no danger).  As it turns out, the clubs do split 3-3.  So how should 
    you play the diamonds now?
    
    	The answer is:  don’t touch the diamonds at all!  Instead, lead 
    a trump to West, resulting in an endplay.  He will be obliged to lead a 
    diamond into your tenace holding.  You will now be able to discard a diamond
    from dummy on your good 13th club and ruff your last diamond in dummy.  
    Making twelve tricks for a well-earned top.  The full deal:
    
                                    ♠A74
                                    ♥A962
                                    ♦Q62
                                    ♣A65
                                       
                          ♠1062               ♠KQJ983
                          ♥QJ4                ♥5
                          ♦K1073              ♦854
                          ♣973                ♣J104
    
                                    ♠5
                                    ♥K10873
                                    ♦AJ9
                                    ♣KQ82
    Saturday, December 30th, 2006
    11:47 pm
    Bridge Column
    
    
    		           FORCED ENTRY
    
                             by Stephen Rzewski
    
              dlr:  West
              vul:  both
    			     North
    
    			    ♠J987
                                ♥K52
                                ♦K3
                                ♣K973
    
    
                    West                    East
    
                   ♠4                      ♠AQ653
                   ♥AQJ107                 ♥984
                   ♦10652                  ♦9874
                   ♣AQ5                    ♣2
    
                                  South
    
                                 ♠ K102
                                 ♥ 63
                                 ♦ AQJ
                                 ♣ J10864
    
    	          bidding:     W      N      E      S
                                  1♥      P     2♥      P
                                   P     dbl     P     3♣  
                                     (all pass)
    
                           opening lead:  ♠ 4
    
    	Today’s hand came up in a club game many years ago.  I was seated
    East. The bidding is shown as it occurred.  North’s reopening double is 
    questionable without better diamond support, but the opponents fell on their
    feet when South found the 9-card club fit.  My partner and I, each with a 
    singleton, were obviously cowardly lions that day and should have taken the
    push to 3♥--- but in that case I would not have this bridge tale to relate,
    one of my all-time favorites.	
    
    	My partner, Harry Kaufmann of North Bennington, VT, led his singleton
    spade. I won the ace and returned the 5♠, trying to show by a middle card a
    lack of enthusiasm for either a heart or diamond play back.  South made the
    right play in spades by putting in the 10, as West ruffed and contemplated 
    what to do next.  He knew that if I had the AQ of spades, I couldn’t have 
    much else, and with all those kings onside for the opponents, it looked as 
    though they were destined to fulfill their contract.  But, in accordance with
    the old saw, “Necessity is the Mother of invention”, my partner found an 
    ingenious way to set the hand.  Even looking at all four hands, do you see 
    how he managed to do so?  
    	
    	At trick #3, West led the queen of hearts!  As we were playing 
    Bergen raises, the play of the queen was unlikely to cost, since I nearly 
    always showed exactly three-card support for my single raise during the 
    auction, leaving declarer with two.  Declarer called for dummy’s king.  It 
    took me a moment to figure out what my partner was up to, and I signaled 
    with the 9, attempting to show the highest of touching cards of a sequence 
    and therefore implying the 8.  After winning the heart in dummy, declarer 
    came to his hand with a diamond in order to lead a club up to the king.  
    But West rose with the ace, and, in a demonstration of faith in my previous 
    play, he led his lowest heart, the 7, enabling me to overtake with the 8 so 
    that I could provide him with a second spade ruff.  Down one.
    Sunday, December 3rd, 2006
    10:14 pm
    Bridge Column
    
                                  MORTON’S FORK
    
    
    	                         North
    
                                     ♠KJ2
                                     ♥543
                                     ♦KQ53
                                     ♣A43
    
                                     South
    
                                     ♠A9876
                                     ♥AKQ972
                                     ♦J2
                                     ♣ -----
    
    
                     bidding:   S      W      N      E
    
                               1♥      P     2♦      P
                               2♠      P     3♥      P
                               3♠      P     4♣      P
                               5♥      P     6♥  (all pass)
    
    	             opening lead:  a low club
    
    
    	Today’s play problem came up at a recent club game.  Suppose 
    you find yourself in a heart slam, with a possible auction shown.   
    South’s 5♥ call was intended to show a very strong trump suit, and North,
    figuring that declarer could not lose more than one minor-suit trick, 
    hoped that his spades were good enough to solidify his partner’s second
    suit.  How would you plan the play (trumps are 3-1)?
    
    
               *          *          *          *          *          *   
    
    
    	The full deal:	
    
                                       ♠KJ2
                                       ♥543
                                       ♦KQ53
                                       ♣A43
    
    
                     ♠53                           ♠Q104
                     ♥8                            ♥J106
                     ♦A1096                        ♦874
                     ♣Q108762                      ♣KJ95
    
    
                                       ♠A9876
                                       ♥AKQ972
                                       ♦J2
                                       ♣ -----
    
    
    
    
    	If you draw trumps and drive out the ace of diamonds, the 
    contract would seem to depend on finessing against the queen of spades,
    as you will always get two discards from dummy’s ace of clubs and extra
    diamond honor for your two small spades. There is also a possible squeeze 
    -–which does not exist on the actual layout-–if LHO had started with 
    length in both diamonds and spades.
    
            However, there is a significant extra chance if you are careful:
    DON’T play dummy’s ace of clubs at trick #1.  Instead, play a low club 
    and ruff in your hand (as an aside, it would be good technique to ruff 
    with the 7, just in case the trumps are 2-2, in which case that lowly 
    deuce might provide you with a needed entry to the dummy at some later 
    point).   Now draw three rounds of trumps and lead a LOW diamond from 
    hand—-not the jack.  If LHO has the ace of diamonds, he will have a choice
    of ways to let you win:  if he plays the ace, you will be able to score
    two diamond discards, thus enabling you to throw away all three of your
    low spades and avoid the spade finesse altogether.  And if he ducks the 
    ace, you will win the trick with one of dummy’s honors, then discard your
    diamond loser on the ace of clubs.  Now you will only need to play the 
    spade suit in a way to avoid the loss of two tricks there, which is a 
    very high-percentage proposition.
    
    	With this combination:
    
    	   	   KJ2
    
    	          A9876
    
    the standard safety play if you can afford the loss of one trick is to 
    start with the king, then lead low from the opposite hand up to the J-x; 
    however, that can not be done unless there are sufficient entries to both
    hands, a luxury you do not have on the actual hand.  In this particular
    case, your best play is to lead low to the jack to start.  You will probably
    go down when this loses to a singleton queen, but you will make the hand 
    whenever the spades are 3-2, or all other 4-1 splits, such as when either 
    opponent starts with Q10xx.  If that hand should be RHO, LHO will show out
    on the second spade play to dummy’s king, and you will be able to lead 
    from the dummy and take the marked finesse through RHO’s 10-x.
    
    	The play of the low diamond from J-x toward dummy is called a 
    “Morton’s Fork” coup.  The name is derived from Cardinal Morton, Chancellor
    under King Henry VII of England, who raised money for the king’s coffers 
    by taxing the merchants.  If those merchants lived an ostentatiously lavish
    lifestyle, Morton felt that he could tax them with a heavy hand, since they
    obviously could afford to pay.  And if others of the time lived an outwardly 
    frugal lifestyle, he figured they must be saving and amassing wealth, and 
    so concluded that they could equally afford to pay.  So however you lived,
    you were doomed to be impaled on “Morton’s Fork.”
    
    	The play of the same name in bridge is used to describe the lead
    through a defender’s honor ----  in this case, the ace of diamonds ----
    whereby the defender loses whether he wins or ducks the trick, essentially
    a “damned if you do / damned if you don’t” choice.  Notice that it is 
    essential to resist the impulse to play dummy’s ace of clubs at the first
    trick.  If you play the ace early, you will be forced to take an immediate
    discard of a diamond or a spade.  Leaving the ace in dummy affords you 
    the flexibility of deciding how best to use that discard later in the hand,
    depending on the ensuing play.
    
    	There is one further point worth mentioning:  if there had been 
    additional entries to dummy, you could execute the Morton’s Fork against 
    either opponent.  In fact, since the placement of the ace of diamonds is 
    a guess, you might be inclined to play RHO for that card, on the basis 
    that many players in the opposite hand, when on opening lead against a slam,
    will tend to lead an ace if they have one.  To illustrate the point, let’s
    place the queen of trumps in the dummy in exchange for one of the spots,
    and have the trumps divide 2-2, so that the deuce of hearts also allows an
    additional entry to dummy. If you as declarer decided to play RHO for the 
    diamond ace, you would ruff the club with the 7, play the ace and queen of 
    trumps (saving that deuce), ending in the dummy, and play a low diamond
    toward the closed hand. RHO, if holding the ace of diamonds, would face 
    the same dilemma as the one described earlier.  If he were to duck and 
    the jack held the trick, you could lead a spade to the king, discard your 
    low diamond on the ace of clubs, ruff a minor-suit card to get to your 
    hand, and lead up to the jack of spades.  If LHO showed out, the jack 
    would force the queen, and you would still have a trump entry to dummy 
    to take the remaining spade play through the 10.  On the actual hand, 
    you would have gone wrong, as the jack of diamonds would lose to the ace,
    and you would have to fall back on the spade finesse, resulting in down one. 
    Sometimes it’s better not to have an option.
    9:45 pm
    Hands From Daytona
    	The following hands came my way at a recent Regional tournament
    in Daytona Beach.  These hands are much more ordinary and routine than 
    those usually shown on this site, and perhaps might not even be considered 
    column-worthy by many.  Still, some readers may find them interesting 
    enough, so I offer them for whatever value they may have.  Comments are
    welcome.
    
    	In a pairs game, with neither side vul, I pick up as dealer:
    
    	       ♠ ---     ♥ AKQJ4     ♦ KQ863     ♣ KQ7
    
              I open 1♥, LHO overcalls 1♠, my partner raises to 2♥, and RHO 
    jumps to 4♠.  What call would you make?
    
            I reasoned that partner had to have an ace and perhaps even a working
    jack or two, since there are very few other high-card points out there that
    could be in her hand.  Of course, if she happened to hold the spade ace or 
    other honor wastage in spades, that would be bad luck, but the bidding 
    suggests otherwise.  So I chance 6♥.  The opening lead, somewhat to my 
    relief, was the ace of spades, but partner’s dummy was:
    
    	
                                   ♠Q64
                                   ♥1072
                                   ♦975
                                   ♣A865
    
                                   ♠ ---
                                   ♥AKQJ4
                                   ♦KQ863
                                   ♣KQ7
    
    
            Some may elect not to raise to 2♥ with her hand, having flat 
    distribution and the queen of spades, which is likely to be a wasted value,
    but I don’t object, in spite of my disappointment.  The odds are against 
    my making this, but I have been in worse contracts.  I have a chance if 
    the red suits break evenly and the ace of diamonds is on my right.  I ruff
    the opening lead with the jack of hearts, then continue with the ace and 
    king.  I am happy to see both opponents follow; so I lead my low heart to
    dummy’s 10, drawing the last trump and giving me access to dummy so as to
    play a diamond.  RHO follows low and I put up my king, which holds.  So 
    I play my low club to dummy’s ace to lead a second diamond.  RHO plays 
    the ace, and LHO follows suit, so I can claim 12 tricks now.  A lucky hand:
    I estimate this favorable layout to be about a 20% chance.  The only point
    here is to take care to ruff the opening lead high, so that you can use 
    the 10 of hearts as an additional entry to make two diamond leads.  If you
    were careless and ruffed the opening lead low, you would have only one 
    entry to dummy, in which case,  you would use it to make one diamond 
    lead, then lead a low card back, hoping for RHO to have started specifically
    with a doubleton A-x, making an already poor prospect considerably worse.
    
    	The remaining hands come from Bracket I team events.  In a Compact
    KO match, I pick up this hand, in 4th seat:
    
    	         ♠ AQJ4     ♥ AKJ6     ♦ AQJ8     ♣ 5
    
            This hand type, the strong 3-suiter, is very difficult to bid 
    in standard methods.  Either you start with an opening bid of 1♦ or a 
    strong and artificial 2♣.   I suspect that most players would bid 2♣, not
    being able to stomach the thought of hearing 1♦ get passed out.  The 2♣ call,
    however, has several disadvantages:  (1) you have used more than a level
    of bidding without yet naming any of your suits—-and you have three of 
    them which you would like to name,  (2) rebidding suits naturally after
    2♣ - 2♦ implies 5-card length, which you do not have, and (3) partner 
    won’t introduce new suits after a sequence like 2♣ - 2♦ - 2♥  unless he
    holds 5-card length himself, making it very difficult to find a 4-4 fit.
    On the other hand, if you open 1♦ and partner can dredge up a response,
    or if the opponents overcall or pre-empt, you will probably be able to 
    make sensible follow-ups.  If the bidding does go 1♦ - all pass, and it 
    turns out that you do have a game, hopefully you will have sympathetic 
    teammates.   Players who use Precision or other strong 1♣ systems will 
    have an advantage here.  Anyone out there with further suggestions, at 
    least for those who want to stick with standard methods?
    
            However, I was somewhat relieved not to have this problem, since
    my RHO opened 1♣ in third position, giving me an easy takeout double.  My
    LHO bid a pre-emptive 3♣, and my partner surprised me somewhat by calling 
    4♣, showing a willingness to play game, probably looking for me to choose
    a major.  As an aside, we had played a KO match against this same pair 
    earlier in the week, and on one deal they had talked me out of a slam by
    taking several bids on weak hands, and the memory of that experience was
    still fresh.  So even if my partner may be pushing a little, I am going 
    to bid a slam here, and since my suits are virtually equal, I throw the
    ball back at her with 5♣.  The full auction was, with everyone bidding 
    clubs at some point:
    
    	         P  -   P   -   1♣   -   dbl
                    3♣  -  4♣   -    P   -   5♣
                     P  -  5♠   -    P   -   6♠
    
            Partner’s hand was:
    
    	        ♠ K10762     ♥ 109543     ♦ 6    ♣ A4
    
            The queen of hearts came down doubleton on her left, so 13 
    tricks were easy, and the board was a push.  Do you think we should have
    bid the grand slam?
    
    	Then later in the same event, but against a different team, I 
    pick up in 3rd seat, with nobody vul:
    
    	        ♠ 74   ♥ A109763   ♦ AJ42   ♣ J
    
            My partner as dealer opens 4NT.  I alert this call, and explain 
    to my opponents that partner has a two-suited hand with both minors and 
    great distribution, typically 6-6 (I’m not a strong advocate of this 
    treatment, but my partner likes it, and I go along).  My RHO passes.  
    I decide to take the risk that my partner’s possible singleton is either
    a heart, or that maybe I’ll get a heart lead and be able to discard her
    losing spade, if she has one.  So I call 6♦.  This is passed out, my LHO 
    leads the king of hearts, and the dummy comes down:
    
    		                ♠ ---
                                    ♥5
                                    ♦KQ10763
                                    ♣Q87642
    
    		                ♠74
    		                ♥A109763
                                    ♦AJ42
                                    ♣J
    
            Prospects look fairly good.  I will need to set up the club suit,
    and since the likely split is 4-2, I may need to ruff three times in my 
    hand, possibly using high trumps to prevent an overruff.   I don’t think
    I can afford to test trumps at this point, because if I play one high 
    trump and then a club, that hand may win and play a second trump, limiting
    me to just two club ruffs.  So after winning the ace of hearts, RHO playing
    the 8, I play the jack of clubs at trick #2.  LHO wins the king and plays 
    an insidious small heart, putting me at a crossroads:  should I ruff low, 
    or can I afford to spare one of dummy’s high trumps?  What would you have 
    done in my place?
    
    	The odds of a 5-1 heart split are very low, but seem enhanced 
    with the opening lead and continuation, and I would hate to go down at 
    this point by ruffing low and getting overruffed.  Against that possibility,
    I could afford to ruff high if either the diamonds divided 2-1 or the 
    clubs 3-3, which offers a very high combined chance.  So I play dummy’s 
    10 of diamonds, and I’m a bit regretful to see RHO follow with the jack
    of hearts.  I lead a club and ruff low, both opponents following, ruff 
    a spade low in dummy, play a third club and ruff high, LHO showing out. 
    Another spade ruff and a 4th club, ruffed with the ace.  Now I lead the 
    last (low) diamond from my hand, and…  LHO shows out.  Rats!  RHO has to
    get a trump trick now with his 98x.  Figuring that I just lost the match,
    I forget the pre-emptive effect that the 4NT call had on the opponents, 
    the full deal being:
    
    		               ♠ ---
                                   ♥5
                                   ♦KQ10763
                                   ♣Q87642
    
                                       
                     ♠J1096532                   ♠AKQ8
                     ♥KQ42                       ♥J8
                     ♦ ---                       ♦985
                     ♣K9                         ♣A1053
    
                                   ♠74
                                   ♥A109763
                                   ♦AJ42
                                   ♣J
    
            At the other table, my partner’s hand did not open, and the 
    bidding started:
    
    	             pass -  1♣  -  2♥  -  2♠ 
                          3♦ 
    
            Our hands competed to 5♦, our teammates bid to 5♠ and the 
    opponents decided to let them play it there, making 12 tricks for +480
    and a substantial gain on the board.  Maybe that 4NT call isn’t such 
    a bad method after all.
    
    	In a 3-way match of a Compact KO, I hold, with both vul:
    
    	         ♠ AQ65   ♥ AK87   ♦ K2   ♣ 1052
    
            My partner opens 1♣,  I respond 1♥, and my partner raises to 
    2♥.  How would you continue?
    
            This hand feels too good not to make a slam try, with all its
    controls and concentrated high-card strength.   My partner and I have 
    recently decided to adopt 2NT as an asking bid here, after opener has
    raised a major, a treatment which seems to be gaining favor with many 
    players.  It is especially useful where partnerships have an agreed style
    for opener to frequently raise responder’s major with 3-card support. 
    Opener responds:
    
    	     3♣ with minimum values and 3-card support,
                 3♦ =  3-card support, maximum values,
    	     3♥ =  4-card support, minimum
    	     3♠ =  4-card support, maximum.
    
            The method is most useful when making game tries, but also can
    work when you feel you are in the slam zone. in cases such as this one.
    
    	My partner responds 3♠ to my inquiry, the best hand possible,
    so after checking for key-cards to find that we are only missing the
    queen of trump, I bid 6♥.  LHO leads the 9♣, and dummy shows:
    
    	                	♠72
      		                ♥J1092
    		                ♦A86
    		                ♣AKQ3
    
    
    		                ♠AQ65
    		                ♥AK87
    		                ♦K2
    		                ♣1052
    
    	This looks reasonably good.  If the king of spades is onside,
    I can ruff my small spades with dummy’s high trumps and can even stand 
    being overruffed with the queen of trumps.  And if the king of spades 
    loses, I still have chances if the queen of hearts is onside, provided 
    RHO has four spades.
    
    	Well, you can guess that both cards were offside and I went down.
    I wouldn’t mind this bit of bad luck normally—-but the effect is severe. 
    The slam was not bid at the other table, so we lose 13 IMPs on the board 
    instead of gaining 12 (had the slam made), and we lose the 6-board match
    by -24 instead of winning by +1: a 25-IMP swing. I know that I am supposed
    to disdain matchpoints and embrace IMPs, but the effect of one card offside 
    on this type of hand at this form of scoring seems highly punitive. In a 
    matchpoint event, I might be able to make this up on the next hand by 
    scoring an overtrick on a partscore, but this results in a huge deficit at
    IMPs, especially in a short match.
    
    	But then fortune comes our way after all:  this match was part 
    of a three-way round, we win our second match—-by all of +1---and it turns
    out that the third team lost both of its matches.  So we advance to the 
    next round, in spite of our net negative -23 IMPs.  This somehow doesn’t 
    feel right either, but having endured my share of bad luck, I am happy 
    to accept the good, when it comes.
    
    	On another hand, still IMPs and both vul, I hold in 4th seat:
    
    	         ♠ 6     ♥ AQ9763     ♦ AJ952     ♣ 3
    
    	LHO and my partner pass, and RHO opens a 15-17 1NT.  This is 
    certainly a hand where you want to be playing a method of showing a 
    two-suiter.  My partner and I play Cappelletti, so I bid 2♥, showing 
    that suit, plus a minor.  LHO bids a non-forcing 2♠, which is passed 
    back to me.  I decide to continue bidding with 3♦, LHO passes, and my
    partner shows interest and surprises me a bit by bidding 4♥, which is
    passed out.  The opening lead is a low diamond, and dummy comes down:
                                   
                                  ♠ K752
                                  ♥ K8
                                  ♦ Q107
                                  ♣ K972
    
                                                                       
                                  ♠ 6
                                  ♥ AQ9763
                                  ♦ AJ952
                                  ♣ 3
    
    	This hand is remarkably similar to one that was presented in 
    one of our earlier columns, and illustrates how to evaluate hands with 
    6-5 distribution.  One should tend to bid these hands fairly aggressively,
    if the honor cards are located in the long suits, and especially if the 
    honors provide good working combinations, along with good intermediates. 
    My partner figured that I was likely to have either extra shape or extra
    values when I continued bidding by myself to the 3-level, vulnerable, 
    and guessed that I was likely to be 6-5.  As a supporting hand, she
    figured that her red honors—-notice even the importance of the lowly 10
    of diamonds on this hand—-had to be worth their weight in gold, even 
    though her black kings could probably be put in the trash.  A good 
    decision on her part.
    
    	As an aside:  for those of you who like to read up on bridge 
    theory of hand evaluation, I highly recommend Mike Lawrence’s “I Fought 
    the Law…”, which presents a rebuttal of the Law of Total Tricks and offers 
    instead a method of predicting the trick-taking power of a hand by measuring
    two different factors, which he calls the “Short-Suit Total” and 
    “Working Points”.  The numerous examples may feel tedious at times, but
    I found the arguments to be strong and compelling.  
    
    	As to the play:  the diamond lead was probably a singleton, so I 
    put up the queen to entice RHO to cover, but he didn’t bite and correctly
    played low.  I have only two black losers, so I can afford to give up the
    king of diamonds, as long as the hearts don’t split 4-1, in which case I 
    would lose a heart.  But LHO wouldn’t lead a stiff diamond unless he had 
    some trumps, so I decide that can’t be the case.   I therefore play the 
    top hearts, and they do turn out to split 3-2, so I just give up the king
    of diamonds and settle for ten tricks, the full hand being:
    
                                    ♠K752
                                    ♥K8
                                    ♦Q107
                                    ♣K972
    
                     ♠QJ843                       ♠A109
                     ♥1052                        ♥J4
                     ♦6                           ♦K843
                     ♣10865                       ♣AQJ4
                                                                       
                                    ♠6
                                    ♥AQ9763
                                    ♦AJ952
                                    ♣3
    
    	It is not a good idea to lead a singleton on opening lead into
    a suit bid by declarer, especially if the bidding suggests that partner
    might have finessable strength in that suit.  Would declarer have possibly
    gone down if LHO had led a spade?  Probably not.  Declarer would ruff the 
    second spade, and could start by playing the ace of trumps, then low to 
    the king.  If LHO showed out here, declarer would know he would be losing
    a trump trick, and would therefore take the diamond finesse.  Once both
    opponents follow to two heart leads, declarer can play it safe by ruffing
    a spade, drawing the last trump, and just give up the king of diamonds.  
    I believe this would even be right at matchpoints, because you would have
    to figure that you would be scoring well by just getting to game and would
    therefore want to protect that score, rather than risk going for a top.  
    
    	If on the diamond lead, you decided to get greedy, play only two
    trumps, ending in the dummy, so as to repeat the diamond finesse, you 
    would go down.  RHO would refuse to cover as before, LHO would ruff, 
    and the defense would play on black suits, forcing you to eventually 
    play diamonds out of your hand, to lose the setting trick there.
    
    	The tournament, scheduled in early November, lasts a full week.
    The weather is very pleasant at that time of year, the ocean temperature
    is quite tolerable for swimming, and you can walk for miles on one of 
    the most beautiful beaches I have experienced.  You might want to consider
    going.  See you there next year?
    Sunday, July 30th, 2006
    9:35 pm
    Bridge Column
    
                           TEST YOUR PLAY (V)
    
                           by Stephen Rzewski
    
    	   matchpoints
                vul:  N-S
               dealer:  N
    	
                               North
    
                              ♠A1053
                              ♥A3
                              ♦A109
                              ♣Q865
    
    
                               South
    
                              ♠KQJ742
                              ♥J10
                              ♦8
                              ♣AK92
    
    
                  bidding:   N      E      S      W
                            1♣     2NT    3♠      5♦
                            5♠      P     6♠ (all pass
    
    	             opening lead:   ♦2
    
    	Today's deal came from a recent STAC tournament.  The opponents'
    hands have been modified to make a more suitable problem.  Plan the play.
    
        *         *          *          *         *         *         *
    
    	
                               North
    
                             ♠ A1053
                             ♥ A3
                             ♦ A109
                             ♣ Q865
    
                  West                        East
    
                  ♠ 96                       ♠ 8
                  ♥ Q65                      ♥ K98742
                  ♦ Q632                     ♦ KJ754
                  ♣ J1073                    ♣ 4
    
                               South
    
                              ♠ KQJ742
                              ♥ J10
                              ♦ 8
                              ♣ AK92
    
    
    	There is a heart loser you can do nothing about, and there is no 
    further problem if the clubs divide 3-2, so you should assume they will
    split 4-1 or worse, which is quite likely, given East’s “Unusual 2NT” 
    call, showing great length in the red suits.
    
    	If West has four clubs which include the J-10, an endplay can be
    executed in the following manner:  win the ace of diamonds, ruff a diamond
    high in the South hand, draw trumps with the king and ace of spades.  Then
    ruff dummy’s last diamond (a third round of trumps can be played should 
    they prove to divide 3-0).  
    
    	Now comes the key play:  play one high club honor from the South 
    hand, followed by the ace of hearts.  The position at that point will be:
    			
                              North
    
                             ♠ 105
                             ♥ 3
                             ♦ ----
                             ♣ Q86
    
                  West                       East
    
                 ♠ ----                     ♠ ----
                 ♥ Q6                       ♥ K987
                 ♦ Q                        ♦ J7
                 ♣ J107                     ♣ ----
    
                              South
    
                             ♠ Q7
                             ♥ J
                             ♦ ----
                             ♣ K92
    
    	Now simply exit with a heart.  If East wins the trick, he will be
    forced to give you a ruff-and-sluff of your club loser.  If West wins, 
    unless he does the same, he will be forced to return a club.  If he plays
    the jack or 10, let this come around to your king, and you will have a 
    finessing position against his remaining honor-7.  
    
    	It is essential to play one high club before exiting with the 
    heart, or else East can win the trick and exit with his singleton club.
    
    	If your club holding were weaker still, such that you were 
    missing the J-10-9, the contract could still be made along the same 
    lines, provided that East’s singleton happened to be one of those cards.
    Friday, June 23rd, 2006
    12:05 pm
    Bridge Column
    
    
                              A SURE THING
    
                           by Stephen Rzewski
    
    
    	       IMPs
                 vul:  none
    		
                                North
    
                               ♠ K973
                               ♥ A6
                               ♦ J764
                               ♣ K107
    
    
                                South
                           
                               ♠ AJ865
                               ♥ 3
                               ♦ K52
                               ♣ AQJ6
    
    	        bidding:  S      W      N      E
                              1♠     3♥    4♠   (all pass)
      
                           opening lead:   ♥ Q
    
    	Today’s hand came up in a Swiss teams event at a local 
    club.  Declarer won the heart lead in dummy, then played the king 
    of spades, on which both opponents followed with low spot cards. 
    When a low spade was played next, East followed with the 10.
    Should declarer now finesse the jack or instead play for the drop
    of the queen by going up with the ace?  Why? (take no credit unless
    you give the correct reasoning)
    
        *          *          *          *          *          *
    
    	The full deal:	
    
                                 North
    
                                ♠ K973
                                ♥ A6
                                ♦ J764
                                ♣ K107
    
                  West                         East
    
                  ♠ 4                         ♠ Q102
                  ♥ QJ109874                  ♥ K52
                  ♦ A83                       ♦ Q109
                  ♣ 98                        ♣ 5432
    
                                 South
    
                                ♠ AJ865
                                ♥ 3
                                ♦ K52
                                ♣ AQJ6
    
    	At the table, declarer successfully finessed the jack of 
    trumps, rejecting the old adage of “eight ever, nine never”, which
    suggests that when missing five cards including the queen, one 
    should finesse, but instead play for the drop when missing only 
    four cards. Later in the play, declarer led a diamond to his king 
    and lost three tricks with the unlucky layout in that suit, but at
    least fulfilled his contract.  So why did declarer take the finesse?
    
            It is true that in a vacuum the odds favor playing for the 
    drop, but the mathematical advantage for that choice is slight, and
    if there are other factors to take into account, one should consider 
    the alternative play.  Here there is the matter of West’s pre-empt,
    which shows great length in hearts, normally a 7-card suit, increasing
    the chances of his holding a singleton spade.  The queen of spades 
    is not a relevant card in the bidding, as West would probably be just
    as inclined to make the same pre-empt if he held Q-x of spades as well
    as a small singleton.  But with 8 of West’s cards inferentially known 
    (7 hearts + 1 spade played), that leaves only five cards in his hand
    that could be the queen of spades.  Whereas only five of East’s cards
    are known (2 spades played + 3 presumed hearts), there are 8 cards 
    in his hand which could be the queen.  That leaves much more room in
    East’s hand to hold the queen, indicating that the finesse is a 
    distinct favorite.
    
    	Nevertheless, in the context of the complete deal, declarer 
    should have played for the drop.  The finesse might be a good calculated
    risk at matchpoints, where overtricks can bring heavy premiums, 
    especially in normal contracts like this one, but at IMPs scoring, 
    making the contract has the highest priority.  If declarer had played
    the ace of spades at the critical juncture, and the queen had dropped,
    the contract would have been assured.  But what if West had then shown 
    out, as in the actual layout?  Declarer would then have a sure line
    of play as follows:  a club to dummy to then lead and ruff out dummy’s
    remaining heart**, followed by the play of the remaining club winners.
    Then a trump is led, putting East on lead, who will have to break the 
    diamond suit (or play his last heart, which would give declarer a fatal
    ruff and sluff).  As long as declarer plays a low diamond from his hand
    when East leads low, he can not be deprived of a diamond winner, no 
    matter how the honors in the suit are distributed.
    
    	So going up with the ace of spades is a heads-you-win, tails-
    you-win play.  No need to resort to guesswork when a sure thing is 
    available.
    
    	**An afterthought:  my good friend, Michael Klein pointed out
    that declarer could improve his technique by ruffing dummy’s small heart
    at trick #2, before touching trumps.  This would provide for the case 
    where a defender with the third trump and a club void, probably West,
    with something like: 
    
                      ♠ Q10x   ♥QJ10xxxx  ♦ Axx   ♣ ---
    
    might be able to ruff in and exit safely with a heart before dummy’s 
    heart could be removed, forcing declarer to break and guess the 
    diamond suit himself.
    
    	It is also worthy to note that there is a standard safety 
    play with this card combination of starting the play of the spades 
    with the ace rather than the king, which one might consider at this
    form of scoring.  This play guards against the possibility of a 4-0 
    trump split in either hand, and ensures the loss of no more than one
    trump trick.  However, since LHO is highly unlikely to hold four 
    spades along with the presumed 7-card heart suit, the initial play 
    of the king in this case will likely work out just as well.
    Saturday, April 1st, 2006
    8:27 pm
    Bridge Column
    
                           
                                  REVERSE PSYCHOLOGY
    
                                  by Stephen Rzewski
    
    	Often during the play of the hand, the defense will be in a 
    quandary as to which suit it should be attacking.  Sometimes when declarer
    plays on a particular suit, a defender may assume that it is contrary to 
    his side’s interest to continue on that suit and may therefore shift to 
    another.  This is a natural and logical human reaction, which is frequently
    correct, but occasionally declarer can exploit this tendency to his own 
    advantage.
    
    	Playing in a Regional Open Swiss against one of the top pairs in 
    New England, I pick up:
    
    	              ♠ 973   ♥ AK10852   ♦ J106   ♣ A
    
    	Neither side is vulnerable, and I am in 4th seat.  The dealer passes,
    as does my partner, and RHO opens 3♣.  I have an easy overcall of 3♥, and my
    partner raises me to game.  The bidding has been:
    
                           P       P       3♣      3♥
                           P       4♥   (all pass)
    
    	LHO leads a small club, and the dummy proves to be a huge 
    disappointment:
      	
    
                                     ♠ J64
                                     ♥ QJ93
                                     ♦ 832
                                     ♣ KQ4
    
                                                                       
    
                               
                                     ♠ 972
                                     ♥ AK10852
                                     ♦ J106
                                     ♣ A
    
    	Who would have guessed all that duplication in clubs?  Well, at least
    they didn’t annihilate me right off by cashing their six winners in diamonds 
    and spades.  I can throw two of my losers on the king and queen of clubs, but 
    that still leaves me one down.  It is tempting to simply concede that result 
    and save some time and anguish, but even when facing what looks like a hopeless 
    situation, one should always look deeply for any chance, no matter how slight,
    especially since there are teammates involved.   Is there any way I can actually
    bring home this dreadful contract?
    
    	Interestingly, I probably can infer more about the lie of the honor 
    cards in the two weak suits than the opponents can about each other’s holding.
    For instance, if LHO had a holding such as AK in either, he would likely have 
    led one in preference to a club.  That would mark my RHO as a favorite to hold 
    at least one high honor in each of those suits. Since he has club length, he
    will have shortness in one or more suits outside of clubs. Obviously, if I am
    to make this contract, I will need some mistakes from the defense, but a small
    ray of hope is beginning to show itself.
    
    	After winning the club lead, I play the ace of hearts, everyone 
    following, then lead a low heart to the queen.  On this trick LHO follows,
    and RHO discards the jack of clubs, which is probably intended to show strength
    in spades.  I now cash the two high clubs, discarding low spades, on which 
    both opponents follow.
    
    	So RHO had only six clubs to the J10 for his pre-empt.  This is not
    all that surprising, since many players make tactical pre-empts in third 
    seat which will depart significantly from the normal sound textbook pre-empts.  
    
    	At this point, I lead a diamond from dummy, deliberately playing the 
    suit I fear most.  RHO plays low—I now have to hope, among other things, that
    he started with a doubleton honor—and since I want to give the impression of 
    strength, I play the jack from my hand.  LHO wins the queen, and thinks for 
    a bit.  Eventually, he makes the play I am hoping for:  he puts the ace of 
    spades on the table, and continues with a spade to his partner’s queen.  I 
    ruff this in hand, lead a heart to dummy’s jack, then lead dummy’s last spade
    and ruff in my hand, leaving:
    
              
                                      ♠ ----
                                      ♥ 9
                                      ♦ 83
                                      ♣ ----
    
                      ♠ ----                             ♠ 5
                      ♥ ----                             ♥ ----
                      ♦ A97                              ♦ K
                      ♣ ----                             ♣ 10
    
                                      ♠ ----
                                      ♥ K
                                      ♦ 106
                                      ♣ ----
    
    	Now I simply lead the low diamond out of my hand, and the defense is
    snookered.  If LHO plays low and allows his partner to win the king, that 
    hand will be end-played into giving me a ruff and sluff.  And if LHO attempts
    a “crocodile coup” by playing the ace to swallow his partner’s king, my 10 
    will be established.
    
    	Obviously, RHO made a serious error when he failed to play the king
    of diamonds on the first lead of the suit, not anticipating the end position.
    LHO might also have saved the day by heeding his partner’s earlier signal and
    underleading the ace of spades, so that his partner could win the trick and 
    unblock his king of diamonds.   Luckily for declarer, LHO had to follow to 
    both hearts, since if he held the singleton, he would have undoubtedly signaled
    with a high diamond on his first discard, making it easy for his partner to 
    unblock the king. The full deal:
    
                                       ♠ J64
                                       ♥ QJ93
                                       ♦ 832
                                       ♣ KQ4
    
                                       
                      ♠ A108                             ♠ KQ53
                      ♥ 64                               ♥ 7
                      ♦ AQ975                            ♦ K4
                      ♣ 875                              ♣ J109632
    
                                       ♠ 972
                                       ♥ AK10852
                                       ♦ J106
                                       ♣ A
    
    	At the other table, third hand opened only 1♣, my hand overcalled 
    1♥ and was given a single raise to 2♥ by his partner.  This became the 
    final contract, with the same club lead.  When the dummy came down, declarer
    decided to simply claim nine tricks, a bit smugly, as our teammates reported,
    since he felt he had stolen the contract, as the defense could have set him 
    off the top.
    Friday, March 31st, 2006
    9:38 am
    Bridge Column
    
    
                               THE SQUIRM FACTOR
    
                               by Stephen Rzewski
    
    
    	Today’s deal came up at a Regional tournament many years ago.  
    My partner and I, along with two good friends,  had just lost an early
    round of a Knock-Out team event, and we decided to all go out together 
    to seek nourishment, lick our wounds, and try to re-energize for the 
    upcoming events.   A topic of conversation over dinner addressed the 
    problem of trying to read our opponents’ cards during the play of the 
    hand.  One of our teammates, to whom I shall refer as Peter, offered a 
    tip when faced with a two-way guess for a missing queen:  run a long suit,
    if possible, and watch for an early discard. Often the person making the
    first discard in that suit will be less likely to hold the critical missing
    card, as he would have only small cards there with nothing to protect, and
    can more easily throw one away.  This principle is not conclusive where a
    player has extra length in the suit (such as Qxxxx), but often an inferential
    count on the hand will be available and provide further clues.  
    
    	After the meal was concluded, the four of us decided to enter the 
    pairs event of that evening, as no team event was available.  As fate would
    have it, the four of us bought entries in opposite directions, such that late
    in the session, we sat down against each other as opponents.  On the 2nd board 
    of the round, I picked up:
    
    	               ♠A74   ♥Q842   ♦5   ♣K10752
    
    Peter, seated on my right, opened 1NT (15-17), and the auction continued
    
    	              1NT       P        2♣        P
                           2♦       P        3NT    (all pass)
    
    I led my 4th-best club, and the following dummy came down:
    
    
                                      ♠ K863
                                      ♥ AJ93
                                      ♦ QJ2
                                      ♣ 98
    
    
                          ♠ A74                                       
                          ♥ Q842   
                          ♦ 5                                               
                          ♣ K10752             
    
    	My club lead hit paydirt.  Partner produced the jack, declarer 
    ducking, then came the queen from partner, declarer winning the ace. 
    Feeling somewhat smug, I settled in to wait for the eventual spade lead,
    on which I would pounce with the ace to cash my good clubs.  
    
    	At trick #3, declarer led a low diamond to dummy’s jack, which 
    held the trick, followed by the queen.  Partner’s first two diamond spots 
    indicated that he held an even number, which meant that declarer had a 
    five-card suit to run.  Suddenly I realized that I was going to have to
    produce a number of discards—four, in fact.  Before continuing, decide 
    how you, reader, would have selected the next four cards in your hand to 
    throw away, holding at this point:
    
                           ♠A74   ♥Q842   ♦---   ♣ K107
    
            Declarer was almost sure to have the king of hearts, and my queen
    was finessable in front of dummy’s A-J.  I could throw two spades away 
    easily, but on the 4th and 5th diamonds, I would have to choose between 
    hearts or clubs.  
    
    	Peter was a good declarer, and I knew he would be watching all of 
    our cards carefully, looking for clues.  If I started discarding my good 
    clubs, that would be revealing to him. Why would I throw away potential 
    winners, unless I were protecting some other holding, and what else could
    that be other than the queen of hearts?  Furthermore, if I discarded even 
    one club, Peter could well figure that I would now not have enough club 
    winners to set him, and he could simply lead a spade, establishing his 9th 
    trick there without having to take the heart finesse.  No, I realized that 
    my only chance was to unguard the queen of hearts.  If Peter did not hold 
    the 10 of hearts, he was probably going to finesse me for the queen anyway.
    Whatever I was going to do, I had to make my decision quickly.  If I started 
    acting tentatively about my choice of discards, hesitating and squirming
    uncomfortably, that would be a giveaway.  I also could hear Peter’s remark
    made at dinner in the back of my mind, which he probably didn’t even remember. 
    I felt a bit guilty about turning his own advice against him, but all’s fair
    in love and war.    So at my first opportunity, I threw the 8 of hearts, 
    in tempo.
    
    	Peter turned to my partner and asked about our carding agreements. 
    “Our carding is upside-down, count and attitude.” was the reply.  This meant
    that in theory the discard of the 8, a high spot-card, signaled discouragement
    for that suit.
    
    	On the next two diamonds, I discarded first the 4, then the 7 of 
    spades, an encouraging signal, to show that I had the ace.  On the 5th diamond
    —in for a penny, in for a pound—I threw the 2 of hearts without pause, coming 
    down to Q-4.  Partner, bless his soul, discarded a spade on the 5th diamond, 
    keeping both of his small hearts. Then came a heart to the ace, and a low 
    heart back from dummy.  My remaining cards were: 
    
                               ♠ A   ♥Q  ♣K107.
    
            Peter went into a long study, which must have lasted a full minute.
    Had I thrown the heart too early, making the bluff obvious?  I was dying inside,
    but knew my partner and I had to appear completely dispassionate and stone-faced.
    Finally, Peter produced the 10, and I faced my hand and claimed the remainder,
    for down two.  The full deal:
    
                                        ♠ K863
                                        ♥ AJ93
                                        ♦ QJ2
                                        ♣ 98
    
    
                          ♠ A74                           ♠ J95
                          ♥ Q842                          ♥ 65
                          ♦ 5                             ♦ 9874
                          ♣ K10752                        ♣ QJ43
    
    
                                        ♠ Q102
                                        ♥ K107
                                        ♦ AK1063
                                        ♣ A6
    
    	In retrospect, pitching the 8 of hearts first might have looked 
    suspicious, and maybe I should have started my discards with a low spade. 
    But had I discarded a club and kept three hearts, declarer would almost 
    surely have gotten it right, especially since it is more natural to finesse
    the hearts through me, picking up the entire suit whenever I would have 
    started with four and ending up with ten tricks.  Or, at the very least,
    he would have led a spade instead and ensured nine tricks. 
    
            The point of this article is that when defending, one must try to
    anticipate how the play of the hand will unfold and have one’s counterplays 
    worked out in advance.  Although I had not done so here, a good time to 
    project the play and defense is at the first trick, while declarer is making
    his plan, so that one’s mind is already made up when the critical moments 
    occur.  If one waits until the play has to be made, the squirm factor will
    often give away the show.  
    
    	(As a footnote:  I’m sure every reader of this column understands 
    that it is highly unethical to feign hesitancy and pretend that one has a 
    problem during the play when in fact no problem exists).
    Tuesday, December 20th, 2005
    12:22 am
    Bridge column
                              
                                 OUTRAGEOUS FORTUNE
    
                                 by Stephen Rzewski
    
    	To win matchpoint events, one must play well, make few mistakes, 
    and hope for some luck.  Besides receiving some outright “gifts” from 
    opponents, good luck can occasionally befall players who find themselves 
    in poor, anti-percentage contracts, whether by result of a bidding 
    misunderstanding, or by aggressive overbidding.  When faced with the 
    prospect of playing what seems like a hopeless contract, it is essential
    to keep one’s head and look for a favorable lie of the cards that will 
    enable you to bring the requisite tricks home, no matter how improbable.
    And conversely, when luck similarly smiles upon the opponents, one has 
    to learn to philosophically accept what may seem like the slings and 
    arrows of outrageous fortune—and move on to the next hand.
    
    	On the last round of a two-session Sectional open pairs, where 
    I sense that we might be in contention, I pick up: 
          
                      ♠ Q76   ♥ A76432   ♦ AK7   ♣ A
    
    With neither side vulnerable, my LHO opens 1NT (14-17), and my partner 
    overcalls 2♣.  In our methods, that call shows clubs and a five-card major,
    which I can infer from my hand must be spades.  With a spade fit and all 
    those controls, I have what looks like a great hand.  I bid 2NT, which we
    use as an asking bid, and partner answers 3C, which is his weakest action,
    indicating a bad hand without disclosing which major he holds.  Still, it
    is hard for me to imagine a holding where we do not have some kind of play 
    for game, so I bid 4♠, which is passed out (in retrospect, my 2NT inquiry 
    was probably a pointless exercise).  LHO leads the ♦Q, and there is some 
    hilarity when the dummy appears, as I see that partner really meant his 
    3♣ call:
                                                                     
                                   ♠ 109432
                                   ♥ J9
                                   ♦ 2
                                   ♣ J10982
    
                                   ♠ Q76
                                   ♥ A76432
                                   ♦ AK7
                                   ♣ A
    
    	Unfortunately, it looks as though we will be heading for an untimely 
    minus score, as it will take some miraculous holding or bad defense for me 
    to make this contract.   It looks like my best play is to take my side winners
    and try to scramble as many ruffs as I can, and hope for the best.  So I win 
    the diamond lead and start by playing my singleton ♣A, to lay the groundwork 
    for scoring club ruffs in my hand.  It is a good thing that I am paying 
    attention, as my often inattentive eyes catch sight of the queen on my left.
    
    	Wait a minute.  To find out if that is a true card, I lead my low 
    diamond, ruff in dummy, and play a 2nd club, ruffing in my hand.  As if 
    answering a prayer, the king of clubs does in fact come down on the table.  
    Instead of proceeding with my first idea of crossruffing, I change tactics 
    by leading the queen of spades:  LHO pauses, then plays low, as RHO produces 
    the ace.  He then leads a heart.  I play the ace, followed by the king of 
    diamonds so as to discard dummy’s losing heart, then cross my fingers as I 
    play a second spade.  I am almost afraid to look, as LHO wins the jack, and
    RHO….   follows suit!  The dummy has only good clubs and two trumps against 
    LHO’s lone remaining king.  If he leads a red card, I simply ruff and lead 
    good clubs, the last trump giving me control.  Making +420.
    
    	Actually, I have to confess to having made a subtle error in the play:
    at the table, after winning the diamond lead, I made the mistake of playing 
    the second high diamond and pitching a heart from dummy immediately.  This 
    could have led to trouble when RHO won the ace of spades, as he could have 
    defeated me by playing a 4th diamond, which would have made the hand unmanageable.
    In fact, he saved me by playing a heart.  To be fair, from his point of view, 
    I might have had a heart loser, which could go away if his diamond play resulted 
    in giving me a ruff and sluff.
    
    	Of course, if the defense had led a trump on opening lead and drawn 
    three rounds, they would have enjoyed a club winner and defeated the contract, 
    and I would have had no story to tell.
    
    	The complete deal:
                                                                    
                                       ♠ 109432
                                       ♥ J9
                                       ♦ 2
                                       ♣ J10982
                                       
                        ♠ KJ8                           ♠ A5
                        ♥ Q85                           ♥ K10
                        ♦ QJ654                         ♦ 10983
                        ♣ KQ                            ♣ 76543
    
                                       ♠ Q76
                                       ♥ A76432
                                       ♦ AK7
                                       ♣ A
    
    	Just to show that the universe has its way of balancing out, 
    following is a hand from a Regional tournament in Saratoga, last Spring,
    on which I was a defender::
                                                                                                                          
                                       ♠ 74
                                       ♥ AK64
                                       ♦ J852
                                       ♣ 852
    
    
                                       ♠ AK3
                                       ♥ Q52
                                       ♦ AK3
                                       ♣ AQJ4
    
    	At our table, the opponents who bid this hand had two misunder-
    standings: in answer to South’s strong 2♣ opening, North responded positively 
    in hearts, showing a good five-card suit, when he held only four.  Then later 
    in a Blackwood auction, North responded 6♣ to 5NT, which South thought showed 
    the king of that suit.  Based on those two pieces of misinformation, South 
    bid what seemed like a reasonable 7NT.
    
    	The opening lead was a spade, which declarer won in hand.  Well, to 
    make this hand, declarer needed the king of clubs onside (it was), two entries
    to dummy to take and repeat the club finesse (the two high hearts), clubs and 
    hearts to both split 3-3 so as to make the long card in each suit (they did), 
    and the most outrageous of all, the queen of diamonds to come down doubleton 
    so as to score the jack for the 13th trick (down she came).  For this 
    undeservedly bad result (known in the parlance as a “fix”) to befall us, I 
    calculate the probability to be less than 1%**.  On a hand where no other pair,
    quite reasonably, was even in a small slam, I think this was perhaps the 
    roundest zero I have ever experienced.  Nonetheless, when the last card was 
    played, all FOUR players at the table burst into laughter.
    
       ** Amend that to around 2%, as I failed to take certain possibilities into
    account in my estimate.  See "comment" below, by my good friend, Michael Klein.
    Sunday, December 18th, 2005
    11:35 am
    Bridge Column
                                              
    		            ASSESSING THE CONTRACT
    
                                  by Stephen Rzewski
    
    	Unlike IMPs or rubber bridge, where small differences in scores 
    generally have slight meaning, in matchpoint events, any difference, no 
    matter how small, can have a great effect on the matchpoint outcome.  For
    example, if the normal contract on a particular hand is a major-suit game 
    yielding +420, and declarer is instead playing 3NT achieving +400 or +430 
    instead, the small difference in the numbers can have major consequences,
    probably resulting in a score significantly below or above average, perhaps
    even a bottom or a top (for one such example, check one of our previous 
    columns, entitled “Moysian Fit”).
    
    	When the dummy appears, it always behooves declarer to assess the 
    contract, not just from the perspective of his chances of fulfilling it, but
    especially insofar as it is the likely one, or not, to be played at other 
    tables.  If the contract is unusual, and possibly resulting in scores different 
    from the typical contract, declarer must focus on outscoring the probable 
    result in the normal contract, sometimes even taking desperate measures to do
    so, lest he be outscored by the rest of the field.	
    
    	Playing in a pairs game at a Sectional tournament, I pick up:
    
     	             ♠ K9642    ♥ KQ1082   ♦ 87    ♣ 6
    
    Neither side is vulnerable, and my partner opens with 1♣.  The opponents are 
    silent, and I respond 1♠.  Partner rebids 2♦, a “reverse” showing extra values,
    and a two-suited hand with longer clubs than diamonds.  I would like to show 
    the heart suit now, as there is some chance that partner has a 3-card major-suit
    fragment, but unfortunately for me on this hand, we have agreed that 2♥ is an 
    artificial bid, showing weakness and a desire to get out in a partscore.  If I
    jump in hearts, we may get into trouble, as the meaning of that bid is undiscussed.
    I decide to take the direct route to 3NT, since with this misfit, it may prove 
    to be the best contract anyway.  Besides, by concealing the hearts, I may 
    encourage the defense to lead that suit at some point.  That ends the auction,
    which has been:
    
                       (partner)              (me)
    		      1♣        P          1♠        P
                          2♦        P         3NT  (all pass)
    
    
    	The opening lead is the deuce of diamonds, and I see:
    	
                                  ♠ A103
                                  ♥ 9
                                  ♦ AQJ4
                                  ♣ AK1043
                                
    
                                  ♠ K9642
                                  ♥ KQ1082
                                  ♦ 87
                                  ♣ 6
    
                Well, so much for my clever thinking.  I expect that most of the field 
    will be in 4♠.  Those declarers will be able to avoid a potential diamond loser 
    by taking a fast club discard.  If the spades split normally (3-2), they will 
    make 4 or 5, depending on how many hearts they lose.  Playing in 3NT, I am forced
    to finesse the jack of diamonds, and my fears are proved right when RHO produces
    the king.  However, he elects to lead back the 3 of hearts, the play I was 
    hoping for.
    
                It may be right to play low here, hoping for the jack to be on my right,
    but that doesn’t feel best.  If I am wrong and lose a trick to the jack now, I will
    almost surely be held to only 9 tricks, which figures to be a disastrous result 
    (+400 as compared to at least +420 in spades).  And even if I am correct, and the 
    ace wins, LHO may be reluctant to continue the suit, as I would appear to him to 
    have a strong heart holding.  Since I want to appear weak and therefore encourage
    more heart plays, I go up with the king.  LHO does in fact win the ace and leads
    back the 4.  I discard a club from dummy, and RHO thinks briefly before putting up
    the hoped-for jack.  I win and play a third heart, just to verify that the suit is
    running, and both opponents follow.  The following cards remain:
    
                                   ♠ A103
                                   ♥ -----
                                   ♦ AQ4
                                   ♣ AK10
    
                                   ♠ K9642
                                   ♥ 82
                                   ♦ 7
                                   ♣ 6
    
    	Just as an aside, I have the sense that my opponents are relatively 
    inexperienced and do not have good lead and carding habits.  Holding in fact 
    J753, it might have been better for RHO to have begun the suit with a high 
    spot rather than the 3 with such a weak holding.  Also, LHO, with A64, should
    return the 6 and not the 4.  This may still have been difficult for his partner
    to read, but either play might have enabled them to avoid continuing the suit,
    or at the very least, helped RHO to avoid the play of putting up the jack on 
    the 2nd lead.
    
    	My position has improved considerably, as I have lost only two tricks
    so far, and I now have eight winners remaining.  Still, I can envision that
    many declarers in 4♠ may elect to pass the 9 of hearts to the ace, ruff a heart,
    and make +450, so +430 may not be enough.  Is there any way I might be able 
    to take the rest?
    
    	Whenever declarer has all the remaining tricks but one, he should always
    look for an opportunity to develop a squeeze.  Actually, there are a few squeeze
    chances in this case.  For instance, either opponent may be squeezed if he 
    started with four or more diamonds and three or more spades.  In addition, 
    there is a slight chance of a positional squeeze on LHO if he began life with 
    four diamonds and a club holding that includes the Q-J.  I can actually take
    a line of play that will include both cases, and they seem like reasonable 
    chances to play for.  
    
             In order to do so, I must play the top clubs, then the ace of spades
    and another to my king.  Both opponents follow to the spade plays, RHO with 
    the queen.  I now play the 8 of hearts from my hand, discarding dummy’s spade
    (optionally, the 8 of hearts could have been played before the clubs), leaving:
    
    		                     ♠ -----
                                         ♥ -----
                                         ♦ AQ4
                                         ♣ 10
    
                          (LHO)
                         ♠ J                                             
                         ♥ -----
                         ♦ 952                                               
                         ♣  ----                                              
                                         ♠ 96
                                         ♥ 2
                                         ♦ 7
                                         ♣ -----
    
    	When I lead the good heart, LHO, who in fact started with both the 
    spade and diamond length, has no safe play.  If he throws the jack of spades,
    my spades will be good, and if he discards a diamond, I will throw dummy’s 
    club and lead a diamond to dummy to run that suit.  The same play would have
    worked had the spade and diamond length happened to be with RHO, making the 
    squeeze “automatic”.  
    
    	These plays all proved to be necessary, as several declarers had 
    in fact scored +450, and there were also a couple of +460s, with whom the
    top was shared.
    	
    	The full deal:
    	                                                   
                                      ♠ A103
                                      ♥ 9
                                      ♦ AQJ4
                                      ♣ AK1043
                                       
                    ♠ J75                                 ♠ Q8
                    ♥ A64                                 ♥ J753
                    ♦ 10952                               ♦ K63
                    ♣ J85                                 ♣ Q972
                                                                       
                                      ♠ K9642
                                      ♥ KQ1082
                                      ♦ 87
                                      ♣ 6
    
    	As an afterthought, the reader may have noticed that there is an 
    additional squeeze chance, which does not work on the actual lie of the 
    cards, but which would be correct on a slightly different layout.  If 
    declarer had reason to believe that the diamond length was with LHO, and
    the spade length was on the right, he could play for a double squeeze.  
    To illustrate this case, exchange the ♠5 with the ♣2 in the above diagram.
    Now at the mid-point of the hand, where the cards had come down to:
    
    		                 ♠ A103
                                     ♥ -----
                                     ♦ AQ4
                                     ♣ AK10
    
                                     ♠ K9642
                                     ♥ 82
                                     ♦ 7             
                                     ♣ 6
    
    Declarer, to play for the double squeeze, must play the high diamonds early,
    then the ace and king of spades, ending in his hand, then the 4th heart 
    (this card could have been played earlier), discarding dummy’s last spade, 
    coming down to:
    
    	                          ♠ -----
                                      ♥ -----
                                      ♦ 4
                                      ♣ AK10
    
                      ♠ -----                              ♠ Q
                      ♥ -----                              ♥ -----
                      ♦ 9                                  ♦ -----
                      ♣ J85                                ♣ Q97
                                                                       
                                      ♠ 96
                                      ♥ 2
                                      ♦ -----
                                      ♣ 6
    
    	Declarer now leads the last heart.  LHO must keep the ♦9 to prevent
    the ♦4 in dummy from becoming a good card, so he discards a club.  Declarer 
    now throws dummy’s ♦ 4, and RHO, forced to hold the ♠Q to prevent declarer’s 
    spades from becoming winners, also must let go a club.  With both opponents 
    down to two clubs each, the ♣10 in dummy takes the last trick.  This play 
    is called a “double squeeze”, because it operates on both opponents, in turn.
    
    	So why did declarer opt for the first squeeze type and not the second?
    The odds probably favor the chosen line somewhat, but the choice of plays 
    just amounted to a good guess, basically.
    Sunday, December 4th, 2005
    10:27 am
    Bridge Column
    
    
                                   ARTISTIC ENDING
    
                                 by Stephen Rzewski
    
    
    	Some of the better plays one sees at the table occur on hands where
    the result, good or bad, has already been determined.  For example, declarer
    successfully executes a double squeeze in a slam, but only to go down one trick
    instead of two.  Good players sometimes respectfully jest that “style points” 
    should be awarded for such plays.
    
    	In today’s hand, from an IMPs event at a Regional tournament, declarer
    managed to bring about an endplay for an overtrick, where he had already earned
    a decent score simply by going plus and making his contract:
    
    	
    			
                                       North
    
                                      ♠ AK2
                                      ♥ KQJ96
                                      ♦ 9
                                      ♣ KJ43
    
                       West                               East
    
                      ♠ Q108                             ♠ J7
                      ♥ 8                                ♥ A105432
                      ♦ AKJ86                            ♦ 2
                      ♣ A1087                            ♣ Q965
    
                                       South
    
                                      ♠ 96543
                                      ♥ 7
                                      ♦ Q107543
                                      ♣ 2
    
    
                        bidding:    W       N       E       S
    
                                    1♦     dbl     1♥      1♠
                                    2♣     dbl      P      2♠ 
                                    P       P       P
    
    	                   opening lead:  ♥ 8
    
    	The bidding is shown as it occurred.  As a matter of style, some players
    might overcall 1♥ with the North hand, then subsequently follow through with a 
    takeout double; this sequence would show the five-card suit, extra values, and a
    willingness to play other strains.   South, with 6-5 shape, ventured a free 1♠ 
    call in spite of his weakness, then pulled his partner’s second double with nothing
    to contribute to the defense.  East might actually have bid on to 3♣, which seems 
    likely to make, but was inhibited from doing so because of North’s double on the 
    previous round.
    
    	The jack of hearts was played from dummy at the first trick, East winning 
    the ace.  East’s best return is probably a diamond at this point (a club return 
    might also result in a successful defense).  If West can read his partner’s 
    singleton, he can cash the ace of clubs and return a low diamond. The hand will 
    now become unmanageable for declarer, and he will ultimately be defeated.  However,
    East instead returned a heart at trick #2.   South pitched his losing club as West
    ruffed with a natural trump trick.  West cashed the king of diamonds, but couldn’t 
    read his partner’s deuce as a singleton, and unsure as to how to proceed, played a
    trump.  Declarer cleared the enemy trumps with the ace and king, leaving:
    
                                                      
                                       North
    
                                      ♠ 2
                                      ♥ KQ9
                                      ♦ ---
                                      ♣ KJ93
    
                     West                                  East
    
                    ♠ ---                                 ♠ ---
                    ♥ ---                                 ♥ 10432
                    ♦ AJ86                                ♦ ---
                    ♣ A1087                               ♣ Q965
    
                                       South
    
                                      ♠ 965
                                      ♥ ---
                                      ♦ Q10754
                                      ♣ ---
    
    	South was now assured of making his contract, since he had two tricks in 
    the bank, two heart winners in dummy and was destined to score his remaining four 
    trumps individually.  Do you see how he managed a sequence of plays that resulted 
    in his gaining an overtrick?
    
    
    	*          *          *          *          *          *          *   
      
    
    	South cashed dummy’s two high hearts, then played a third heart, covered
    by East and ruffed in declarer’s hand.  Declarer then led the 10 of diamonds 
    (actually, any diamond will do).  West covered with the jack, but instead of 
    ruffing with dummy’s last trump, declarer called for a club, allowing West to 
    win the trick and putting that player on lead in the following position:
    
    				
                                      North
    
                                     ♠ 2
                                     ♥ ---
                                     ♦ ---
                                     ♣ KJ9
    
                      West                                East
    
                     ♠ ---                               ♠ ---
                     ♥ ---                               ♥ 4
                     ♦ A8                                ♦ ---
                     ♣ A10                               ♣ Q96
    
                                      South
    
                                     ♠ 96
                                     ♥ ---
                                     ♦ Q7
                                     ♣ ---
    
    
    	West pondered her position for a full minute, looking for a way out; 
    there was none.  If she played the ace of diamonds, South would ruff in dummy,
    and the queen would be established.  Similarly, playing the ace of clubs would
    establish dummy’s king, as South would ruff in his hand.  If she played a low 
    diamond, South would simply let that come around to the queen.  Eventually, 
    she found the best play of a low club, but South, reading the position, put 
    up dummy’s king, discarding a diamond from his hand, and took the remainder
    with ruffs.
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