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A puzzle

#1 User is offline   lamford 

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Posted 2017-December-23, 07:36

Declarer bids and makes game. In the play, all four 2s win tricks. How many overtricks did declarer make? (With acknowledgement to Martin Taylor).
'When I write a Law,' Humpty Dumpty said, in rather a scornful tone, 'it means just what I choose it to mean neither more nor less.'
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#2 User is offline   Lovera 

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Posted 2017-December-23, 11:59

But all of these 2 are in the declarer line ?
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#3 User is offline   broze 

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Posted 2017-December-23, 13:24

I can think of one where ...

Spoiler

'In an infinite universe, the one thing sentient life cannot afford to have is a sense of proportion.' - Douglas Adams
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#4 User is offline   nullve 

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Posted 2017-December-23, 14:59

View PostLovera, on 2017-December-23, 11:59, said:

But all of these 2 are in the declarer line ?

If not, then here's a possible hand:

Spoiler

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#5 User is offline   stupbr 

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Posted 2017-December-24, 00:43

Contract 3NT. Sorry it does not seem that for a 3NT contract, logistics can work out. Removed my original post of one overtrick comment.
Question is - if 3nt is the contract, making, and all 2s are winners, then there will be 16 tricks minimum before considering discards and not able to come up with any layout where it can happen. Still thinking. Thanks.
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#6 User is offline   nullve 

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Posted 2017-December-24, 04:06

Spoiler

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#7 User is offline   Cyberyeti 

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Posted 2017-December-24, 07:27

I presume you are intending this to be without infractions as there are plenty of solutions involving revokes and transferred tricks I suspect
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#8 User is offline   Lovera 

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Posted 2017-December-24, 08:25

Spoiler

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#9 User is offline   stupbr 

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Posted 2017-December-24, 12:11

Please keep this puzzle open until a complete solution is posted- with play. Thanks.
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#10 User is offline   annne 

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Posted 2017-December-24, 17:12

None
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#11 User is offline   annne 

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Posted 2017-December-24, 17:17

No analysis given for obvious reasons
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#12 User is offline   nige1 

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Posted 2017-December-24, 17:52

Spoiler

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#13 User is offline   barmar 

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Posted 2017-December-25, 02:44

My puzzle is why this can't happen online?

#14 User is offline   GrahamJson 

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Posted 2017-December-25, 06:50

I reckon none.
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#15 User is offline   GrahamJson 

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Posted 2017-December-25, 06:57

Spoiler

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#16 User is offline   stupbr 

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Posted 2017-December-25, 12:51

Solution does not exist. Will post the proof later today.

I am wrong - solution exists and posted on this thread.
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#17 User is offline   Vampyr 

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Posted 2017-December-25, 16:50

View Postnige1, on 2017-December-24, 17:52, said:

Spoiler



This requires the opponents to cooperate by discarding winners.
I know not with what weapons World War III will be fought, but World War IV will be fought with sticks and stones -- Albert Einstein
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#18 User is offline   nige1 

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Posted 2017-December-25, 17:29

View PostVampyr, on 2017-December-25, 16:50, said:

This requires the opponents to cooperate by discarding winners.

I can't construct a hand where 4 deuces can win tricks but declarer makes exactly 9 tricks. For example, in Nullve's construction, defenders can take 13 tricks.

Given the constraint that 4 deuces must win tricks, however, the jettison plays are probably necessary in my construction. And they're fun.

This post has been edited by nige1: 2017-December-26, 11:25

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#19 User is offline   m1cha 

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Posted 2017-December-25, 20:25

[deleted]
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#20 User is offline   Vampyr 

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Posted 2017-December-25, 21:35

View Postm1cha, on 2017-December-25, 20:25, said:

Simple solution to a great puzzle.

Spoiler



"Any denomination" does not work, since major and minor games require different numbers of tricks. But anyway this was not one of the constraints of the puzzle.
I know not with what weapons World War III will be fought, but World War IV will be fought with sticks and stones -- Albert Einstein
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