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A grand puzzle


Lord Molyb

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North skillfully wrapped up his grand slam contract. Afterwards he noted that he could still make a grand slam if the south hand was switched with either of the east/west hands, and there were no suits longer than 9 cards.

What's the weakest hand north could have that makes these statements true?

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if 10>9 I bet not :), anyway AK8th AKQ5th is cheaper.

 

Even cheaper is AKxxxxx/AKxxxx, the 6 card suit is the side suit, one player has the queen doubleton to make all, another 3 cards, and the last one ruffs the third round with queen of trumps.

 

For finessing issues OP should define better where does anyone sit when they switch positions.

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if 10>9 I bet not :), anyway AK8th AKQ5th is cheaper.

 

Even cheaper is AKxxxxx/AKxxxx, the 6 card suit is the side suit, one player has the queen doubleton to make all, another 3 cards, and the last one ruffs the third round with queen of trumps.

 

For finessing issues OP should define better where does anyone sit when they switch positions.

A grand slam makes as the cards are, or if the south cards/player are switched with the west cards/player, or if south is switched with east.

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North skillfully wrapped up his grand slam contract. Afterwards he noted that he could still make a grand slam if the south hand was switched with either of the east/west hands, and there were no suits longer than 9 cards.

What's the weakest hand north could have that makes these statements true?

[hv=pc=n&s=s876ht987dt987cK9&w=sQJh5432d5432cT&n=sakT54hdca8765432&e=s932hakqjdakqjcQJ&d=n&v=0&b=1&a=7sppp]399|300|

Just to get the ball rolling :)[/hv]

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Got it down to 10 HCP?

[hv=pc=n&s=skh98d65432cakqj2&w=s543h76dakqjct987&n=sakt98762ha5432dc&e=sQhkqjtdt987c6543&d=n&v=0&b=1&a=7sppp]399|300|

kayin801 really got it down to 9 HCP :) but I'm sure we can do better :)[/hv]

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[hv=pc=n&s=sh32d32cakqjt9876&w=s987hakqjtd87654c&n=saqjt65432hdc5432&e=skh987654dakqjt9c&d=n&v=0&b=1&a=7sppp]399|300|

7 HCP?

This can probably be improved on. Possibly by a lot, if we consider grand-slams in three different denominations :)[/hv]

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I tried:

[hv=pc=n&s=skqjthdt98765c765&w=s987hkjdakqjcak42&n=sa65432haqt5432dc&e=sh9876d432cqjt983]399|300[/hv]

With the south hand north can make 7 by ruffing a heart. If you switch south and east, you can make 7 hearts by ruffing three spades, and if you switch south and west, you can make 7 by pitching 5 spades on 3 diamond and 2 club winners.

As I have seen, this is not the correct answer :)

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  • 2 weeks later...

5 HCP! Only North has to make it, as was specified in the original post.

[hv=pc=n&s=st9h5432d76cakqjt&w=sqh9876dakqjt98c2&n=saj8765432hd5432c&e=skhakqjtdc9876543]399|300[/hv]

As the cards are, on a plain suit lead north simply ruffs, draws 2 trumps ending in dummy, and discards all his diamonds on the clubs.

Switch south and west and the play is trivial- draw trumps and everything is good. The defense can't get a ruff because the diamond void is on lead.

Switch south and east, and 7 still makes. The best leads, a diamond and a trump, are both won by the K and all of North's diamonds disappears on the top hearts.

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[hv=pc=n&3e=sJhd432cakqjt9876&s=s98hakqjt98d8765c&n=saQT765432hdc5432&w=skh765432dakqjt9c&d=n&v=0&b=1&a=7sppp]399|300|

I doubt anybody can improve on Molyb's effort. With one trump suit, can anyone get it down to 5 HCP?

:)[/hv]

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