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 Post subject: Re: Brainteaser thread
PostPosted: Wed Jun 04, 2008 8:06 am 
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After a bit more work on the train, I think it is:
J S R Y O D
E L A M N F


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 Post subject: Re: Brainteaser thread
PostPosted: Wed Jun 04, 2008 8:51 am 
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rcbroughton wrote:
However, if you live in England, just look out of the window: If it is cold and raining, it's June.
:lol:
Ah, the long lost art of "looking at the sky through the window of an air-conditioned room to tell the temperature outside". :study:

Mind you, it's exactly the same in Sydney here. Cold, raining and generally miserable. :pallid:


About your most recent try:
Of your 2nd die, I don't see any way to avoid using each of F,L,N exactly once, thus violating rule #5.

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 Post subject: Re: Brainteaser thread
PostPosted: Wed Jun 04, 2008 7:12 pm 
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Third time lucky - I missed that little count.

Hidden Text:
JA = Jan
FY = Feb
MR =Mar
AR =Apr
MY =May
JE =Jun
JL =Jul
AS =Aug
SM =Sep
OR =Oct
NO =Nov
DE =Dec

JRYSND
AMEOFL

Jx3 Rx3 Yx2 Sx2 Nx1 Dx1
Ax3 Mx3 Ex2 Ox2 Fx1 Lx1


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 Post subject: Re: Brainteaser thread
PostPosted: Thu Jun 05, 2008 1:06 am 
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Hi

Thought I'd give a little walk-through to the letter part.

Hidden Text:
First letters month.
J 3x
A 2x
M 2x
F 1x
S 1x
O 1x
N 1x
D 1x

Fixed months:
JE = june
JL = july
MY = may

One die will have J, then the other will have e,l

J * * * * *
E L * * * *

Each die need to be first letter 6 times. Die 2 has E and L which are never first letter of the month. So to make 6 times first letter with the remaining 4 letters, we need both A and M twice, plus 2 letters of FSOND.
As M is on die 2 Y has to be on die 1.

J Y * * * *
E L A M * *

April has no second letter that can be a first letter. So die 1 has one of p/r/i/l and 3 of FSOND.
August needs a second letter on die 1. This can only be S.
March needs a second letter on die 1. This can only be R.

J Y S R * *
E L A M * *

January has to be Ja because it can only use a letter from ELAMFOND. Only A will give a unique set.

Months covered so far:
January = Ja
March = Mr
April = Ar
May = My
June = Je
July = Jl
August = As

On die 2 L can't be in any months except July: L = 1.

One of FOND has to be used twice on die 2. Only O can be used twice: October(O.) and nOvember(No). So O goes on die 2 and N on die 1.

J Y S R N *
E L A M O *

Both F and D can only be used once on either die.

Letters used so far.
1 2
J a (january)
J e (june)
J l (july)
y M (may)
s A (august)
S . (september)
r A (april)
r M (march)
N o (november)
. O (october)

Die 1: J(3), S(2), R(2), Y(1), N(1), F/D(1)
Die 2: A(3), M(2), O(2), E(1), L(1), F/D(1)

On die 1 Y or N needs to be used again. Only option is Y in february. So F goes on die 2 and D on die 1.

Die 1: J Y S R N D
Die 2: E L A M O F

Just for completeness.

Letters used.
1 2
J a (january)
J e (june)
J l (july)
y M (may)
s A (august)
S . (september)
r A (april)
r M (march)
N o (november)
. O (october)
y F (february)
D . (december)

Die 1: J(3), S(2), R(2), Y(2), N(1), D(1)
Die 2: A(3), M(2), O(2), E(1), L(1), F(1)

October needs to use one of RSY on die 1, to make it 3. Only option is R.
September/December can use E and M to get those to 3 and 2. So they either use one E and one M or both use an E.

[edit] For rule 6 *cough*: O and A have both been used as first and second letter, so the others can't be used as both first and second letter. September/December need a second letter on Die 2. This can only be E as M has been used as first letter.

Answer:

Die 1: J Y S R N D
Die 2: E L A M O F

Die 1: J(3), R(3), S(2), Y(2), N(1), D(1)
Die 2: A(3), M(2/3), E(2/3), O(2), L(1), F(1)
[edit]: Die 2: A(3), E(3), M(2), O(2), L(1), F(1)


Okay, not so little but enjoy

Para


Last edited by Para on Thu Jun 05, 2008 10:37 am, edited 2 times in total.

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 Post subject: Re: Brainteaser thread
PostPosted: Thu Jun 05, 2008 2:58 am 
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Well done both! ;clapclap; :thumbs: My own scheme has one letter different to Richard's:
Hidden Text:
JA FY MR AR MY JE
JL AS SE OR NO DE

JRSYDN
AEMOFL

I missed the alternative abbreviations as cited by Para (and Richard). :oops:

So I guess Para should be the winner for that thorough walkthrough and for finding out all the possibilities. No disrespect to Richard but I'm sure you don't mind giving somebody else a chance once in a while. :cheesey:


PS: Just a little bit of nitpicking on Para's great walkthrough:
Hidden Text:
"Y m (may)" (twice) should be "y M (may)".


PPS: I hate having puzzles of multiple solutions, so here is an additional rule to make it unique:

6. Of each die, at least 2 faces must be used purely as the first letter, and at least 2 faces must be used purely as the second letter.

:ugeek:

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 Post subject: Re: Brainteaser thread
PostPosted: Thu Jun 05, 2008 8:19 am 
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Nice work Para ;clapclap;

looks like you are in the driving seat for the next puzzle . . .

Rgds
Richard


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 Post subject: Re: Brainteaser thread
PostPosted: Thu Jun 05, 2008 2:08 pm 
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rcbroughton wrote:
However, if you live in England, just look out of the window: If it is cold and raining, it's June.
:lol:
I do not agree, rain in England as in Bretagne or Normandie in France is still possible in June :bigoops: . As for cold, ask any mexican and it is still cold some days in June!, I have tried Canadian summer and it is really Mexican winter :santa: !
Now lets wait for Para's puzzle... and European summer ;)

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 Post subject: Re: Brainteaser thread
PostPosted: Fri Jun 13, 2008 9:08 pm 
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rcbroughton wrote:
First solution has dropped out of the search: (and it doesn't use 1 ... 21)

{1, 4, 25, 6, 14, 3} {8, 10, 16, 12, 9} {2, 22, 19, 13} {7, 33, 11} {15, 27} {39}

Still looking for more . . .
Are you still looking? Found further solutions, or is there only one?

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 Post subject: Re: Brainteaser thread
PostPosted: Fri Jun 13, 2008 9:33 pm 
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Børge wrote:
Are you still looking? Found further solutions, or is there only one?


Matt managed to track the original source but didn't give a link. I've googled it and surprisingly only one solution was found. The link is Set of Golomb rulers

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 Post subject: Re: Brainteaser thread
PostPosted: Sat Jun 14, 2008 7:26 am 
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Glyn wrote:
Børge wrote:
Are you still looking? Found further solutions, or is there only one?


Matt managed to track the original source but didn't give a link. I've googled it and surprisingly only one solution was found. The link is Set of Golomb rulers
Hi Glyn

Yes I found the site also. My program did complete and only found one solution for the 6 rods. It really is an amazing result!


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