W leads the spade A.
Next, if W plays Club or dia, then N-S get four dia, and 5 club tricks by cross-ruffing, the first ruffing should be done in South, which is possible whether dia or club is led.
Thus, W has to play heart. N plays the next bigger heart, and E wins.
Next if E plays club or dia, then the same solution as above.
If E plays hearts, then 1 spade, 1 heart, 3 dia and 4 club tricks via cross-ruffing.
So, E has to play a spade. S plays Queen of spades.
Now, 4 club, 3 dia, and one spade tricks are easy to see. Where do we get the 9th trick from?
We consider 3 cases, depending on what W discards on the second spade trick:
CASE 1: W discards a club!
In this case, N-S cash the Ace of clubs and dias, and ruff two each to end in North.
The situation is as follows:
North has: Club 9 5, Heart Q 6
East has: Spade J, Heart K 5, Dia 10
S has: Spade 7, Heart 3, Dia J 9
W has: Heart J 9 8, Dia K
N-S need two more tricks.
North, then plays a club. East has to play the spade, or else N-S get their required 2 tricks. South then discards the heart. W has to discard the heart, or else S wins the remaining three tricks.
The situation now is
North has: Club 9, Heart Q 6
East has: Heart K 5, Dia 10
S has: Spade 7, Dia J 9
W has: Heart J 9, Dia K
There are three possibilities now, and in either case, it is easy to see that N-S get two more tricks.
CASE 2: W discards a dia!
In this case, N-S cash the Ace of clubs and dias, and ruff two each to end in South.
The situation is as follows:
North has: Club 9 5, Heart Q 6
East has: Spade J, Heart K 5, Dia 10
S has: Spade 7, Heart 3, Dia J 9
W has: Heart J 9 8, Club K
S gets the dia J, and then plays the dia 9, thus getting two more tricks.
CASE 3: W discards a heart!
Lead a heart from South, and a small heart from North.
If E plays the king, then N-S have two additional heat tricks, (and maybe one less spade trick, if E leads the spade next).
If E does not play the king, then W wins the trick.
Then, whatever W plays, go up North via clubs, and play heart from North, and ruff it in south, to create an additional heart trick.
Fantastic problem!!!!
Next, if W plays Club or dia, then N-S get four dia, and 5 club tricks by cross-ruffing, the first ruffing should be done in South, which is possible whether dia or club is led.
Thus, W has to play heart. N plays the next bigger heart, and E wins.
Next if E plays club or dia, then the same solution as above.
If E plays hearts, then 1 spade, 1 heart, 3 dia and 4 club tricks via cross-ruffing.
So, E has to play a spade. S plays Queen of spades.
Now, 4 club, 3 dia, and one spade tricks are easy to see. Where do we get the 9th trick from?
We consider 3 cases, depending on what W discards on the second spade trick:
CASE 1: W discards a club!
In this case, N-S cash the Ace of clubs and dias, and ruff two each to end in North.
The situation is as follows:
North has: Club 9 5, Heart Q 6
East has: Spade J, Heart K 5, Dia 10
S has: Spade 7, Heart 3, Dia J 9
W has: Heart J 9 8, Dia K
N-S need two more tricks.
North, then plays a club. East has to play the spade, or else N-S get their required 2 tricks. South then discards the heart. W has to discard the heart, or else S wins the remaining three tricks.
The situation now is
North has: Club 9, Heart Q 6
East has: Heart K 5, Dia 10
S has: Spade 7, Dia J 9
W has: Heart J 9, Dia K
There are three possibilities now, and in either case, it is easy to see that N-S get two more tricks.
CASE 2: W discards a dia!
In this case, N-S cash the Ace of clubs and dias, and ruff two each to end in South.
The situation is as follows:
North has: Club 9 5, Heart Q 6
East has: Spade J, Heart K 5, Dia 10
S has: Spade 7, Heart 3, Dia J 9
W has: Heart J 9 8, Club K
S gets the dia J, and then plays the dia 9, thus getting two more tricks.
CASE 3: W discards a heart!
Lead a heart from South, and a small heart from North.
If E plays the king, then N-S have two additional heat tricks, (and maybe one less spade trick, if E leads the spade next).
If E does not play the king, then W wins the trick.
Then, whatever W plays, go up North via clubs, and play heart from North, and ruff it in south, to create an additional heart trick.
Fantastic problem!!!!
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