Posers and Puzzles

Posers and Puzzles

  1. 42.4º N / -71.2º W
    Joined
    11 Jun '01
    Moves
    78257
    04 Feb '03 22:58
    Ok, first up, I don't want to see the solution to this, and if you write a program to crack it (not too tough) that's fine, but please don't post it here, as I'm still working on it.

    It goes a little something like this. You have the integers 1-15 arranged in a triangle. Imagine a pool triangle with all the numbered balls inverted, so that the row of 5 is at the top and not the bottom. Can you arrange the numbers in such a way that each number between and below two numbers is the subtraction of those numbers. A visual example would be:

    15 14 12 9 13
    1 2 3 4

    As you can see 15-14=1, 14-12=2, 12-9=3 and so on, until you get to the bottom of the pyramid, where it might end:

    11 5
    6

    In the above case, the system would not work, because then 2-1 would have to equal 1, and the number 1 has already been used. Apparently there is at least one solution that allows all 15 integers to be used (only once) that satisfies the above constraints...

    If any of this is not clear, and looking back on what I write it surely can't be that clear, let me know and I'll try to explain in more detail...

    good luck!

    joe
  2. Joined
    02 Mar '04
    Moves
    223
    11 Mar '04 21:18
    Holy @*!$ thats tough no wonder no one responded!😲
  3. Joined
    31 Jan '04
    Moves
    331
    12 Mar '04 02:47
    Here it is:

    13, 3, 15, 14, 6
    10, 12, 1, 8
    2, 11, 7
    9, 4
    5

    It took me almost 30 minutes, but I got it. There are probably other ways it can be done, but this is at least one of them.
  4. Standard memberAsher123
    Drunken Shogun
    on Satan's fork
    Joined
    22 Feb '04
    Moves
    35380
    12 Mar '04 15:20
    didn't he ask not to post the answer LOL
  5. Joined
    31 Jan '04
    Moves
    331
    13 Mar '04 07:08
    Originally posted by Asher123
    didn't he ask not to post the answer LOL
    It had been over a year since this was posted so I thought that he should have either gotten it by now, or he gave up on it a long time ago. Therefore, it was fair game.
  6. Standard memberAsher123
    Drunken Shogun
    on Satan's fork
    Joined
    22 Feb '04
    Moves
    35380
    13 Mar '04 12:53
    haha alright I didn't look at the poost dates I'll admit 😳
  7. Joined
    26 Apr '03
    Moves
    26504
    14 Mar '04 14:50
    Wonder if there are any answers if there are 21 numbered balls and a top row of length 6...
  8. Joined
    31 Jan '04
    Moves
    331
    15 Mar '04 21:15
    Originally posted by iamatiger
    Wonder if there are any answers if there are 21 numbered balls and a top row of length 6...
    15 was ridiculously hard, I cannot imagine doing 21. I may try it later, but not now.
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