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ATB : missed slam

North
K10872
Q86
KQJ10
K
South
AJ943
A72
J10974
W
N
E
S
1
P
2
P
2
P
3
P
4
P
P
P

 

Matchpoints, playing french standard system. I think the first 3 bids are OK. 

3 shows slam interest. 2 is natural and promises 12 to 18 HCP

South could have bid 4 instead of 3, showing slam interest with 4+ spades and short hearts. 

North could have bid 3NT or 4 or 4 instead of 4. 4 is the most negative bid (minimum hand), 3NT would have shown doubts about slam, but not a minimum hand, and 4 or 4 would have been the most encouraging bids. 

North should have bid 3NT instead of 4
North should have bid 4 or 4 instead of 4
South should have bid 4 instead of 3
South should have kept on bidding after 4
no blame : decisions were all reasonable
another answer : please explain...

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