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Posers and Puzzles

Posers and Puzzles

  1. 03 Aug '08 21:39 / 3 edits
    ....R...A...F...A...E...L
    +.......N...A...D..A...L
    ----------------------------
    ....T...E...N...N...I...S

    Each letter represents a different digit. Reconstruct the sum.

    (the dots are there just for alignment)
  2. 03 Aug '08 23:50
    Originally posted by David113
    ....R...A...F...A...E...L
    +.......N...A...D..A...L
    ----------------------------
    ....T...E...N...N...I...S

    Each letter represents a different digit. Reconstruct the sum.

    (the dots are there just for alignment)
    Solution sent. I verified only one solution.

    The relationships of D & F, A & N were very key to the testing process, although I did use a bit of trial and error.
  3. 03 Aug '08 23:58
    Originally posted by geepamoogle
    Solution sent. I verified only one solution.

    The relationships of D & F, A & N were very key to the testing process, although I did use a bit of trial and error.
    SOLV'D (geepamoogle)
  4. 05 Aug '08 16:20
    I'm surprised nobody else has answered this one.

    I left the actual solution unsaid to give everyone a chance..
  5. Standard member forkedknight
    Defend the Universe
    05 Aug '08 20:36 / 1 edit
    I found a solution if you allow 'T' to be 0 (with a leading 1).

    ..975712
    +..37672
    ----------
    1013384

    Still working on T != 0

    *edit* I guess that would work if you play tennis online
  6. 05 Aug '08 21:46 / 1 edit
    Originally posted by forkedknight
    I found a solution if you allow 'T' to be 0 (with a leading 1).

    ..975712
    +..37672
    ----------
    1013384

    Still working on T != 0

    *edit* I guess that would work if you play tennis online
    My girlfriend found that one as well, heheh.

    E-Tennis, eh? That would be interesting..
  7. 06 Aug '08 11:53
    842415
    74345
    ---------
    917760
  8. 06 Aug '08 14:09
    Originally posted by luskin
    842415
    74345
    ---------
    917760
    according to my calculator: 842415+74345=916760
  9. 06 Aug '08 14:54
    Originally posted by crazyblue
    according to my calculator: 842415+74345=916760
    I should've checked with calculator myself.
    How about this?
    582807
    18387
    ---------
    601194
  10. 06 Aug '08 17:39 / 1 edit
  11. Standard member forkedknight
    Defend the Universe
    06 Aug '08 20:55 / 1 edit
    How about peoples' methods for solving this one and/or other similar puzzles in general.

    I created an Excel spreadsheet and played around with relationship formulas and error conditions. I can email it to you if you'd like to see it.

    We coded a general solver for this type of problem in SCHEME/LISP in my artificial intelligence class at university last semeseter. I didn't have that code handy for this problem though.
  12. 06 Aug '08 21:49
    Originally posted by forkedknight
    How about peoples' methods for solving this one and/or other similar puzzles in general.

    I created an Excel spreadsheet and played around with relationship formulas and error conditions. I can email it to you if you'd like to see it.

    We coded a general solver for this type of problem in SCHEME/LISP in my artificial intelligence class at university last semeseter. I didn't have that code handy for this problem though.
    Well, the method which worked for me is as follows.

    In initially working with the problem, I noticed two additions..

    A + D = N
    A + F = N

    Based on this, one of the two have a carry added in, the other does not.

    In addition to this, A cannot be 0 or 9, or else A = N.
    N can't be 0 as it starts a number, and for some reason, I had eliminated N = 9 as well. The reason may come to me.

    At any rate, since the two sums occur beside each other, I can determine what D and F are from A and N.

    I simply tried each combination of A and N, eliminating first those where I had matching numbers, as well as those where A + N + 1 resulted in no carry (since R + 0 = T...)

    Each test was straightforward, with solving for E leading to quick judgment of each case.
  13. 07 Aug '08 01:18
    i also did A and N combinations. later i tried a php script that solves it, but without success. but now that this is solved i thought of creating my own puzzle. and since i saw all 41 episodes of sledge hammer in the last week, i had a good idea right away... (trust me, i know what im doing!)

    ........S...L...E...D...G...E
    -.......H...A...M...M...E...R
    -------------------------------
    ............G...R...E...A...T

    now the problem with this is, that it probably doesnt have a solution.
    i also tried php and for some reason it can calcuate - better than + so it spitted out some solutions (i didnt limit it with stuff like S!=H because that would just cause a timeout without results).

    so the only solutions i get is with S=H and A=D. maybe someone can think of a better result-word. the word "sledge hammer" uses 9 letters already, so you have just 1 extra letter you can use.

    so this is a 2-in-1 puzzle:
    a) solve this or show there is no solution
    b) find a "esult-word that brings a solution
  14. Standard member forkedknight
    Defend the Universe
    07 Aug '08 01:34
    Originally posted by geepamoogle

    I simply tried each combination of A and N, eliminating first those where I had matching numbers, as well as those where A + N + 1 resulted in no carry (since R + 0 = T...)
    you must mean that A + N + 1 DOES result in a carry, since R != T
  15. 07 Aug '08 03:49
    Originally posted by forkedknight
    you must mean that A + N + 1 DOES result in a carry, since R != T
    Exactly.

    Just as A + D and A + F cannot both equal N, and thus exactly one of the two has a carry.