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In real life, West passed and North bought the contract
in 4, down two. West thought he didn't quite have
enough to risk a 5 bid.

A good convention over Namyats or any artificial preempt
(that shows a specific suit) is to play double as a light
takeout double of the suit shown (not the suit bid). Using
this convention, West could double 4 as a light takeout
double of spades. It's relatively risk free, since the
opponents will probably not want to play in 4 doubled.

On this hand, East will cuebid 5 over 4, looking for
the right slam, and you will score up 920 or 940 in 6.

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