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interesting double dummy problem
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I recently got interested in double dummy problems so decided to create one of my own; hope you enjoy it.

West
5
J2
7
North
4
32
4
East
73
65
South
95
82
D

Hearts are trumps; South is on lead.  Can you make all 4 tricks against any defence?

WARNING: the next pages discuss the solution

West
5
J2
7
North
4
32
4
East
73
65
South
95
82
D

We obviously can't lead the 2 as we lose a trick immediately.

If we lead 8 we can then ruff the 2 but will be stuck in dummy with a losing spade.

So we have to lead a diamond.

If we lead the 5 then its best for West to play low; otherwise they promote our 9 and we have our 4 tricks.

If they play low we ruff and end up with this situation:

West
5
J
7
North
4
3
4
East
7
65
South
9
82
D

If we lead a spade we lose the trick, if we lead a club we still have a club, diamond or spade to lose.

So we need to lead the heart; however East can safely discard a diamond as West still has the J, and West can safely discard a club.

So this doesn't help; we needed to lead 9 to start with.

West
5
J2
7
North
4
32
4
East
73
65
South
95
82
D

We lead the 9 intending to take a ruffing finesse against West's J and discard North's spade if West plays low.

West foils our little plan by playing the J and we ruff to leave this position:

West
5
2
7
North
4
3
4
East
7
65
South
5
82
D

The diamond guard has been transferred from West to East who also has to guard the clubs. We can now lead 3 from North and squeeze poor East .

If East discards a club, South discards the 5 and wins the last two tricks with 82.

If East discards 7 then South discards the 2 and wins the last two tricks with 8 and 5

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