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Author Message
cmlobue
benthic wrote:
Pardon my stupidity, but I'm not grasping something here.

How is it possible to solve 10D? It references 9D, which in turn, references 10D. It loops. Even after the two erratas to the card's text (9D is backwards, and 8D is 1 and 1/3), it still doesn't make sense to me...

Can someone explain that to me?

Use logic (or trial and error) to figure out the only number combination that fits these clues and other numbers in the puzzle. You can't math it out because of the circular reference.

Posted: Thu Dec 28, 2006 1:39 pm
benthic
Pardon my stupidity, but I'm not grasping something here.

How is it possible to solve 10D? It references 9D, which in turn, references 10D. It loops. Even after the two erratas to the card's text (9D is backwards, and 8D is 1 and 1/3), it still doesn't make sense to me...

Can someone explain that to me?

Posted: Mon Dec 25, 2006 1:40 pm
Cabbage
W. T. Williams and G. H. Savage are Real People who wrote Puzzle Books in the 1940s, "The Peguin Puzzle Books". Would it help solve this cross-number, if we went back and found the orginal puzzle?

For the curious, the original crossnumber is reprinted as puzzle 448 in The Penguin Book of Curious and Interesting Puzzles edited by David Wells ISBN 0-14-014875-2. It was originally published in The Strand Problems Book by W. T. Williams.

But it wouldn't help, since the PCX puzzle has been adapted from the original, and as a consequence, the answers are different. Easier, as aliendial says, to look at the spoilers (if'n ya don't wanna solve it yerself).

Posted: Sun Dec 10, 2006 12:37 pm
aliendial
Only if you want to re-solve it yourself. The confirmed solve is above in this thread. This is why we request that folks read and [search] before posting.

Posted: Wed Aug 02, 2006 11:17 am
W. T. Williams and G. H. Savage are Real People who wrote Puzzle Books in the 1940s, "The Peguin Puzzle Books". Would it help solve this cross-number, if we went back and found the orginal puzzle?

Posted: Wed Aug 02, 2006 11:10 am
TekkiBreki
Dell Publishing Company publishes puzzles like this called Figure Logic, and they include detailed solving directions.

Two key things to keep in mind with this type of puzzle are that there are no leading zeroes in the grid and the answer to any given clue might be developed a few digits at a time.

I started breaking this one with 15-across - there are only two two-digit cubes: 27 and 64.

The ones place of 16-across is one less than the ones place of 15-across and must be a 6 or a 3. The ones place of 16-across, however is also the ones place of 7-down, a perfect square. Perfect squares only end in zero, 1, 4, 5, 6 and 9.

This yields a 6 in the ones place of 16-across and establishes 15-across as 27. The speed of Farmer Dunk's 1 - 1/3 perimeter walk is now known and a relation can be developed for the perimeter of the farm. Perimeter P is 66 times a two-digit number whose tens place is a one. The two digit number is 8-down and the known digit is the first digit of 8-across, the first year of ownership of Dog's Mead (1XXX). This gives a set of 10 possible values for the perimeter {660, 726, 792, 858, 924, 990, 1056, 1122, 1188, 1254}. Four of these are inconsequential because they have four digits and 14-across is a three-digit number.

11-across, Mary's birth year, is either 18XX or 19XX. The youngest she could be in 1939 if born in 18XX would be 40 (1899). Her age in 1945 would be 46, and her brother's 92. 10-across, their father's current age, is also a two-digit number, necessarily greater than the brother's age. This construction is very unlikely since there are two other two-digit ages that can be assumed to be greater than the father's age (those of his mother-in-law and aunt). It would be reasonable to assume that Mary was born in 19XX. This gives 9 as the middle digit of a five-digit perfect square and trials with a calculator yield a set of three numbers {114, 134, 176} whose squares are XX9X6.

The fourth digit of XX9X6 (7-down) is the first digit of the perimeter of the farm and further narrows the field of six remaining values for the perimeter.

Repeated passes through the puzzle allow stronger and stronger assertions (numbers with fewer wildcards and sets with fewer members) to be made as information is developed.

Posted: Sun May 07, 2006 2:17 am
kniteli
^^^ the Xs are the black spaces, everything else is the answers.

I made mistake in my math, but i ended writing a program for this code which helped significantly cut down the time taken to run through tedious numbers lol. got all but 3 spots solved and got stuck, finally looked at solution and realized reason i got stuck was cause of sour math, ouch =/ oh well, im happy, i would have gotten there if i didnt make a simple mistake, but would have gotten to it eventually.

Posted: Wed May 03, 2006 7:19 am
sledgecallier
Ok, I confess that I am prob being dumb here but how is:

Spoiler (Rollover to View):

38720X5
4X91X44
0X2X384
X1110XX
72X1918
9XXX792
27X16X9

Posted: Wed Apr 19, 2006 4:06 pm
CoolCats712
donstobbart wrote:
Just completed. Thanks for suggesting one and a third, I was banging my head against a brick wall until then.

Spoiler (Rollover to View):
I found best place to start is 15 and 16 across

Check the spoiler. Basically, this will be lots of algebra. Just make sure you're defining your terms well. And corrections, just to sum up: 9D should be "10D divided by 10A" and for 8D the fraction is one and one-third.

Posted: Tue Mar 28, 2006 6:05 pm
hey, im having trouble with this card and theres no where in these posts that gives me a start point exept working out the farms dimentions but could someone push me in the direction of where to start, may thanks Adam.G

Posted: Tue Mar 28, 2006 12:12 pm
en4rab
Grrr it wouldnt have hurt them to put a space between the 1 and the 1/3, I was using 11/3 no wonder I couldnt get sensible numbers lol
cheers for the help
en4rab

Posted: Thu Dec 01, 2005 10:48 am
oliverkeers13
Thank you all so much! That works great!

Posted: Thu Dec 01, 2005 3:26 am
josiah
Yeah, I was pretty rubbish... luckily I photocopied it and handed it out as homework at work, and someone came back a right answer.... but all of that is moot now

Just for completeness sake, the solve is definitely:

Spoiler (Rollover to View):

38720X5
4X91X44
0X2X384
X1110XX
72X1918
9XXX792
27X16X9

It's definitely worth having a go at yourself though - it's quite fun Come back here when you spend 4 hours on it, enter your solve and it's wrong!

Posted: Thu Dec 01, 2005 3:24 am
Tufty
oliverkeers13 wrote:
Sorry, I'm having real difficulty with this one, can someone post a solve?

After spending several hours over this one and getting only partially there I turned to good old google:

Spoiler (Rollover to View):
Full Solve and Explanation: http://www.puzzle.dse.nl/arith/dogs_mead_us.html

Josiah has 13 down incorrect.

Hope this helps.

Posted: Thu Dec 01, 2005 3:14 am
oliverkeers13
Didn't work for me Josiah

Posted: Thu Dec 01, 2005 2:02 am
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