http://doubledummy.net/Problem0004.html
Take the heart trick down south with A
Then play a dia and take the trick up north with the king.
Then lead a small club!
CASE 1: east plays 4 of C
Take two club tricks in south
then go north by king of heart, ruff heart in south
pick ace of spade and then go north using king of spade and then ruff spade in south.
then give a club trick to east.
at this point, east leads either heart or spade
North has D A 10, C 9
South has D J 9 5
West has D Q 8 7
so, on the H/S lead from east, play dia J from south. Now, if west plays queen then get it with the ace and then get the remaining two tricks. Otherwise, drop club from north and the remaining are winners.
CASE 2: east plays J or K of clubs
Then get the trick down south using Queen, or Ace depending on whether east plays J or K.
then play dia small, and get it with the ace, then play dia 10 from north and J from south, and play dia until west takes it with the queen.
CASE 2a): west leads dia, club or spade next.
pick spade ace, club queen and all the remaining dias.
now, look at the situation when south plays the last dia to decide the card to be discarded in north!
North, at this point has spades K 9, heart K 3
South, at this point has spade 2, H 9, D 2, 6
now, if east has only one heart, then we win 2 heart tricks, 1 spade trick, and 1 dia trick! similarly if east has only one spade!
thus, east has the following hand S QJ H Q.
now, if on the lead of 2 of dia from south, east discards a heart, then north discards a spade and wins 2 heart tricks, 1 spade trick and 1 dia trick! similarly for the case when east discards a spade.
CASE 2b): west leads heart!
north takes it with the king and comes south using spades A, and then takes the remaining dia tricks.
now, look at the situation when south plays the last dia to decide the card to be discarded in north!
North, at this point has spades K 9, heart 3, C 2
South, at this point has spade 2, D 2, C Q 6
now, when south plays dia 2, east has to have two spades and one club, else we win just as in case 2 a). Thus, north discards heart 9.
so, now the hands look like,
North, has spades K, heart 3, C 2
South, at this point has spade 2, C Q 6
East has Spade QJ, C 10
south plays spade, after which the three hands look like,
North, has heart 3, C 2
South, has spade C Q 6
East has Spade Q, C 10
now, if west does not have a heart, then we win one heart and one club trick, else two club tricks.
!!!! Really, DR 7!!!!
Take the heart trick down south with A
Then play a dia and take the trick up north with the king.
Then lead a small club!
CASE 1: east plays 4 of C
Take two club tricks in south
then go north by king of heart, ruff heart in south
pick ace of spade and then go north using king of spade and then ruff spade in south.
then give a club trick to east.
at this point, east leads either heart or spade
North has D A 10, C 9
South has D J 9 5
West has D Q 8 7
so, on the H/S lead from east, play dia J from south. Now, if west plays queen then get it with the ace and then get the remaining two tricks. Otherwise, drop club from north and the remaining are winners.
CASE 2: east plays J or K of clubs
Then get the trick down south using Queen, or Ace depending on whether east plays J or K.
then play dia small, and get it with the ace, then play dia 10 from north and J from south, and play dia until west takes it with the queen.
CASE 2a): west leads dia, club or spade next.
pick spade ace, club queen and all the remaining dias.
now, look at the situation when south plays the last dia to decide the card to be discarded in north!
North, at this point has spades K 9, heart K 3
South, at this point has spade 2, H 9, D 2, 6
now, if east has only one heart, then we win 2 heart tricks, 1 spade trick, and 1 dia trick! similarly if east has only one spade!
thus, east has the following hand S QJ H Q.
now, if on the lead of 2 of dia from south, east discards a heart, then north discards a spade and wins 2 heart tricks, 1 spade trick and 1 dia trick! similarly for the case when east discards a spade.
CASE 2b): west leads heart!
north takes it with the king and comes south using spades A, and then takes the remaining dia tricks.
now, look at the situation when south plays the last dia to decide the card to be discarded in north!
North, at this point has spades K 9, heart 3, C 2
South, at this point has spade 2, D 2, C Q 6
now, when south plays dia 2, east has to have two spades and one club, else we win just as in case 2 a). Thus, north discards heart 9.
so, now the hands look like,
North, has spades K, heart 3, C 2
South, at this point has spade 2, C Q 6
East has Spade QJ, C 10
south plays spade, after which the three hands look like,
North, has heart 3, C 2
South, has spade C Q 6
East has Spade Q, C 10
now, if west does not have a heart, then we win one heart and one club trick, else two club tricks.
!!!! Really, DR 7!!!!
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