Interesting Deal For Mathematicians

Pages: Page 2 of 10

Dealer: South
Vuln: N-S
Scoring: Pairs
  1. spadeJ 8 2
  2. heartA K
  3. diamondJ 5 4
  4. clubK 9 8 7 6
Green square in centre

Contract: 7spade
Lead: diamondK
  1. spadeA K Q 9 6 5
  2. heart9 8 7 5
  3. diamondA
  4. clubA 2
It's a declarer play problem, in several parts. The bidding at my table was unconvincing (I was the opening leader) so I will omit it.

You are declarer in 7spade with no adverse bidding. The opening lead is the diamondK. Plan the play.
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