check it out

garyhoov

Trophy Husband
I can see the logic. With some time and thought (which I'm not going to spend), I think I could produce the algorithm.

Consider a number: wxyz

Now rearrange the digits: zwxy

You have four variables and quite a bit of information. Assume all the digits in the first number are greater than all the digits of the second (if they're not, it adds an extra dimension to the equation, but it's managable) Now assume your final answer is something like 2156. You take out the 1.

The computer now knows that w-z = 2 (it doesn't necessarily know that it's dealing with w and z but there are only four digits so the options are limited. w might be 8 and z might be 6 or w might be 4 and z might be 2, but again you see, the options are limited.

y - x = 5, so you can see this is even more limiting. y might be 8 and x 3, but x can't be greater 4 (see my original simplification).

The key is there are only 4 digits and a limited number of possibilities. With a lot of time, and a lot of paper, you could, by simple trial and error, figure out a friend's number. With the calculating ability of the computer, I'm sure it's quite simple.
 

tigsmom

Well-Known Member
Originally posted by garyhoov
I can see the logic. With some time and thought (which I'm not going to spend), I think I could produce the algorithm.

Consider a number: wxyz

Now rearrange the digits: zwxy

You have four variables and quite a bit of information. Assume all the digits in the first number are greater than all the digits of the second (if they're not, it adds an extra dimension to the equation, but it's managable) Now assume your final answer is something like 2156. You take out the 1.

The computer now knows that w-z = 2 (it doesn't necessarily know that it's dealing with w and z but there are only four digits so the options are limited. w might be 8 and z might be 6 or w might be 4 and z might be 2, but again you see, the options are limited.



y - x = 5, so you can see this is even more limiting. y might be 8 and x 3, but x can't be greater 4 (see my original simplification).

The key is there are only 4 digits and a limited number of possibilities. With a lot of time, and a lot of paper, you could, by simple trial and error, figure out a friend's number. With the calculating ability of the computer, I'm sure it's quite simple.


Damn Gary, you take the fun out of everything!
:lol: :wave:
 

tenchu

Well-Known Member
Originally posted by garyhoov
I can see the logic. With some time and thought (which I'm not going to spend), I think I could produce the algorithm.

Consider a number: wxyz

Now rearrange the digits: zwxy

You have four variables and quite a bit of information. Assume all the digits in the first number are greater than all the digits of the second (if they're not, it adds an extra dimension to the equation, but it's managable) Now assume your final answer is something like 2156. You take out the 1.

The computer now knows that w-z = 2 (it doesn't necessarily know that it's dealing with w and z but there are only four digits so the options are limited. w might be 8 and z might be 6 or w might be 4 and z might be 2, but again you see, the options are limited.

y - x = 5, so you can see this is even more limiting. y might be 8 and x 3, but x can't be greater 4 (see my original simplification).

The key is there are only 4 digits and a limited number of possibilities. With a lot of time, and a lot of paper, you could, by simple trial and error, figure out a friend's number. With the calculating ability of the computer, I'm sure it's quite simple.

Good shout bud.

And it of course only works if the numbers in your oringinal are not all the same, if you try to fool it and use the same number 4 times (e.g. 1111) you end up with 0 when you subtract it from the re-combinated one.

Hence why they've had to put the 'different numbers' bit in.

I was too busy looking for loopholes to make it wrong rather than woring out how to make it work! :lol:
 

garyhoov

Trophy Husband
Originally posted by tigsmom
Damn Gary, you take the fun out of everything!
:lol: :wave:

:lol: I think that's why I never really enjoyed Disney World as a kid. I used to just think: "That looks so fake"

Now that I'm older and wiser, I can simply marvel and say: "Wow . . .










I wonder what kind of servo actuation they would use to synchronize that movement." Now where's that geek smiley when you really need it?
 

WDWFREAK53

Well-Known Member
Originally posted by garyhoov
I can see the logic. With some time and thought (which I'm not going to spend), I think I could produce the algorithm.

Consider a number: wxyz

Now rearrange the digits: zwxy

You have four variables and quite a bit of information. Assume all the digits in the first number are greater than all the digits of the second (if they're not, it adds an extra dimension to the equation, but it's managable) Now assume your final answer is something like 2156. You take out the 1.

The computer now knows that w-z = 2 (it doesn't necessarily know that it's dealing with w and z but there are only four digits so the options are limited. w might be 8 and z might be 6 or w might be 4 and z might be 2, but again you see, the options are limited.

y - x = 5, so you can see this is even more limiting. y might be 8 and x 3, but x can't be greater 4 (see my original simplification).

The key is there are only 4 digits and a limited number of possibilities. With a lot of time, and a lot of paper, you could, by simple trial and error, figure out a friend's number. With the calculating ability of the computer, I'm sure it's quite simple.

Gary...I figured that out...Sheesh...that was simple...I just didn't want to look like a nerdo maxo dweebie :lookaroun
 

WDWFREAK53

Well-Known Member
Originally posted by tenchu
Even freaky could work out how this one is done though i suspect.

:animwink:

:lol:

...this one has even me baffled...



























or maybe all the cards are different anyways? Nahhh
 

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