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Einstein's Challenge
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CrystyB
Misunderstood Guy



PostPosted: Sat Jun 28, 2003 4:57 am    Post subject: 41 Reply with quote

those are good times for the age you're at. But to really make it noteworthy, why don't you post in here your whole line of reasoning?
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Dragon Phoenix
Judge Doom



PostPosted: Tue Aug 12, 2003 8:09 pm    Post subject: 42 Reply with quote

Quote:
Sure,I have the same solution. Can't believe that Einstein is the father, though. BUT: what if the houses are forming a nice circle (well, pentagon) instead of the obvious straight line??


That was my post #1 in the GL. This one is #10,000.
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Mackay
Saviour of Spiders



PostPosted: Tue Aug 12, 2003 8:12 pm    Post subject: 43 Reply with quote

yay! *throws virgin rats*
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HyToFry
Drama queen



PostPosted: Tue Aug 12, 2003 9:00 pm    Post subject: 44 Reply with quote

w00t! Celebrate good times! Come on!
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Yesterday's Child
Icarian Member



PostPosted: Tue Jun 27, 2006 6:04 pm    Post subject: 45 Reply with quote

Okay, I'll admit that this took me ages and give myself a little private pat on the back for sticking with it.

Does anyone have a good methodology for approaching a problem like this? I have a feeling that one of the reasons it took me so long was that I tackled it in a really free-form way - lots of scibbled notes and whatnot. I remember doing puzzles like this in grade school and our teacher showed us a kind of chart to build and I remember that it worked really well. Is it a whole bunch of little charts for pairs of variables, or is it one big chart with everything on it.

I'd love a little advice.

Also, anyone know where I can find tonnes of these puzzles to play around with?
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/dev/joe*
Guest



PostPosted: Thu Jun 29, 2006 4:48 pm    Post subject: 46 Reply with quote

The standard logic puzzle chart is built as follows:

Code:

  Variable 1  Variable N  Variable N-1  ...   Variable 3
V  @@@@          @@@@          @@@@               @@@@
a  @@@@          @@@@          @@@@               @@@@
r  @@@@          @@@@          @@@@               @@@@
2  @@@@          @@@@          @@@@               @@@@

V  @@@@          @@@@          @@@@
a  @@@@          @@@@          @@@@
r  @@@@          @@@@          @@@@
3  @@@@          @@@@          @@@@

V  @@@@          @@@@
a  @@@@          @@@@
r  @@@@          @@@@
4  @@@@          @@@@

.
.
.

V  @@@@
a  @@@@
r  @@@@
N  @@@@


For N variables, you will have the triangle above/including the diagonal of an (N-1)x(N-1) square, each cell of which is an elimination grid on one pair of variables. The arrangement of the variables ensures that all the combinations appear once in the grid.

For standard puzzles, where there are K fixed values for each variable, this type of grid works quite well, once you learn to use it. This puzzle has 6 variables (house numbers, colors, nationalities, pets, drinks, and cigarette brands) and 5 values for each.

Some solving tips:
    1. Fill in two distinctive symbols to indicate values which do or do not go together (match and non-match).

    2. Watch for eliminations (where all but one value has been eliminated in a row or column of one of the sub-grids, forcing the last value to be a match). Conversely, where you are told something goes with something else, you know each of those somethings do not go with any of the other things of those types.

    3. Where you have matches, be sure to transfer information from one to the other (for instance, if you know the Englishman smokes Dunhill, and the Englishman does not live in a red house, and the Dunhill smoker does not own a cat, then you know the Dunhill smoker does not live in a red house and the Englishman does not own a cat). A shortcut for doing this is to compare the whole rows/columns for the two values. See below, where F=N, and you can match the F and N vs. ABCD rows, and the F vs. IJKL row with the N vs. IJKL column.

    Code:

     ABCD MNOP IJKL
    E@@@@ @@@@ @@@@
    F---- @+@@ ----
    G@@@@ @@@@ @@@@
    H@@@@ @@@@ @@@@

    I@@@@ @|@@
    J@@@@ @|@@
    K@@@@ @|@@
    L@@@@ @|@@

    M@@@@
    N----
    O@@@@
    P@@@@


    4. When you build your grid, be sure that you write the variable values in the same order across and down for all those variables which are split among rows and columns, so that the method in (3) works.

    5. When some of the variable values are times, dates, physical positions, or numbers, you usually have clues that one thing comes before, left of, or has a smaller numerical value than another thing. In these clues, at first you will only know that one of the things is not the last, right-most, or largest of the items of its type, and that the other is not the first, left-most, or smallest. If the two values compared are from different variables, you can also infer that they don't match.

    6. Some puzzles are not completely standard. There are many ways this can occur. You might have one variable with twice as many values, and 2 values go to each thing. Or you might have some numerical values that are not given and you have to figure it out as you go along. As long as the bulk of the variables are standard, it is usually best to make the standard grid, modified as necessary to fit in the odd variables, and try to put the odd variables in the unbroken row and column so that there is a single place to write notes about these variables or a single deviation in the grid, etc.


I don't know any particular online source for lots of these, but you can find magazines full of the puzzles at supermarket magazine racks. Also see this gargantuan example of a standard puzzle of this sort.
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Eshers*
Guest



PostPosted: Thu Nov 30, 2006 9:03 am    Post subject: 47 Reply with quote

Did it at half-past midnight for a bit of fun, and it took me around 20 minutes. It would have helped if I hadn't misread one of the hints. *doh!*

And Excel is the way forward Wink I ended up with two charts. One with the positioning across the top:
1 2 3 4 5
(colour)
(nationality)
(drink) etc.

and the other organised sideways, but slightly differently. I just filled in the grid so that all spaces were used. Then moved them around accordingly. This helped, as I could show that the German smoked Prince, without having to know where (which house) he was. From that elimination process, it became a lot easier (I only started doing that after 15 mins, then it was easy sailing)
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papercut*
Guest



PostPosted: Thu Jun 28, 2007 6:18 am    Post subject: 48 Reply with quote

I'm glad a couple people caught on to the point of this puzzle. I saw the writer's (or minotaur's, whatever) solution and was afraid that everyone here would be mislead.

First things first:

A. In most circumstances of a puzzle like this, (that's not written by Einstein) the best way to solve it is a chart. Hands down. It just makes everything easier.

B. Again, were it not writ by Einstein, yes, the German has the fish.

C. It was written by Einstein. Societies have this atrocious habit of warping everything that anyone intelligent says or does, and this is a minor case of that. I don't know Einstein's original words in the challenge, but the tobacco brands and surely some of the other random names have been changed over time. Einstein did in fact write it, he did say less than 2% of people could solve it, and he was probably right.

D. We don't know who has the fish. That's the whole point.

Einstein spent the brunt of his life trying to show that (beware of pun) science was all relative. His absolute greatest work was a description of gravity, defying all known science, that turned out to be completely true... in a fictional universe. Other scientists always based their science off of what humans perceive, what we know, what effects us. So Newton's description of gravity is true, because we know it is; we feel it, it makes sense. It's obvious. We think it's obvious that someone has the fish: there's five people, four pets accounted for, and we're asked who has the fifth animal. We think someone must have it. So we go to work and tediously figure it out (eventually), using the logic and reason we know. Like Newton. Einstein looked outside of human perception though. What would happen, gravity-wise, if matter traveled at the speed of light? (Which it never will.) What would happen in a situation of rediculous gravity and mass that no human will ever come across? If there are other universes, how do they effect gravity in ours?

Apart from the babbling, the point is, Einstein looked outside of the (Earthen) box (sphere?). He threw away basic reason and logic, and this puzzle goes after the same idea.

Just because you're asked for a fish doesn't mean there is one.
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