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ananother solution - The Pit and the Pentium

 
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gadf
Icarian Member



PostPosted: Thu Jan 17, 2002 11:00 am    Post subject: 1 Reply with quote

apart from 0000000000 my friend eran
found that 6210001000 also works well
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El Blobbo revived
Daedalian Member



PostPosted: Mon Jan 21, 2002 1:17 pm    Post subject: 2 Reply with quote

0001000126 would..?

[This message has been edited by El Blobbo revived (edited 01-21-2002 08:17 AM).]
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Laramie
Daedalian Member



PostPosted: Wed Jan 30, 2002 3:09 pm    Post subject: 3 Reply with quote

That won't work because you have two ones and a zero in the ones spot.
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groza528
No Place Like Home



PostPosted: Wed Feb 13, 2002 11:53 am    Post subject: 4 Reply with quote

Laramie: I believe it's the OUTCOME that opens the door etc. The outcome of 0001000126 is 6210001000, which we know should open the door.

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If you think the little things don't matter, try falling asleep with a mosquito in your room.
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groza528
No Place Like Home



PostPosted: Wed Feb 13, 2002 11:54 am    Post subject: 5 Reply with quote

stupid ISE

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If you think the little things don't matter, try falling asleep with a mosquito in your room.
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Laramie
Daedalian Member



PostPosted: Wed Feb 13, 2002 1:23 pm    Post subject: 6 Reply with quote

groza,

My understanding is that the door opens if the input is the same as the output.
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groza528
No Place Like Home



PostPosted: Wed Feb 13, 2002 1:48 pm    Post subject: 7 Reply with quote

Quote:
given 10 digit number, x, and its output, y, if setting the dials on the door to x opens the floor, then setting them to y will cause the poison to flood the room. And, conversly, if x brings poison the room, y will open the floor.

If x is 0000001126 then y is 6210001000. Since we already know that that value of y will not set off either trap, then x won't either because it would imply y setting off the other.

After rereading the problem I don't think the computer opens the door, it sounds like the door opens itself and the computer just chooses a trap.



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CrystyB
Misunderstood Guy



PostPosted: Mon Mar 11, 2002 2:07 am    Post subject: 8 Reply with quote

btw the solution clearly states that any number that EVENTUALLY generates a cycle is good enough to free the prisoner.

Also, mith might like to know: seven-ten-hundred-thousand + 6300...0100 are the only cycle of two, and there are no cycles of 3/4/5.../8/9. I haven't bothered to do more, although it would be very easy.
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