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Best Line in this Slam- and can you reconstruct the defenders hands.

North
52
AQ962
K2
K743
South
AKJ7
KJ
A1076
AJ8
W
N
E
S
P
2NT
P
3
P
3
P
4
P
4
P
6
P
P
P

 Matchpoints - I include the bidding, because people always ask for it.

Despite the strangeness of the auction, this pair got to the optimum pairs contract on this hand.(as the cards lie)

On the lie of the cards you can make 7, 6NT, 6 & 6. But alas only 5.

The declarer playing against us took a less than optimum, but still 75%,  line and went quietly one off in 6. (on 3 lead)

I'm curious about the best line in both 6 and 6NT single dummy.

And I wonder if the information above is sufficient for someone to work out what East and West actually held.

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