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Getting max points on a grid

  1. Aug 11, 2007 #1
    Ok, I have a teaser and I want to check with all of you on whats the most points.
    We have a 5x5 grid. That grid can be filled with numbers 1 thru 4. There are rules to placing these. Diagonal directions do not count as neighbours. 1 can be placed anywhere; 2 needs to have 1 as a neighbour; 3 needs 1 and 2; and 4 needs to have 1, 2 and 3 as neighbours. Whats the maximum sum for the whole grid and how should the numbers be placed.

    P.S. Also - throw out those wacky number and whatever else theories and tell me why and how - the logic behind these. :)
     
    Last edited: Aug 11, 2007
  2. jcsd
  3. Aug 11, 2007 #2
    How much did you get?
     
  4. Aug 12, 2007 #3
    59
    But the question is - can it get better?
     
  5. Aug 12, 2007 #4
    Yes, I've got 61.
     
  6. Aug 12, 2007 #5
    Well, tell me how...
     
  7. Aug 13, 2007 #6
    OK...

    1 3 2 1 2
    2 4 4 1 4
    3 1 3 2 3
    4 2 4 4 1
    1 3 1 3 2

    :smile:
     
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