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Whatīs your score? (Posted on 2005-07-30) Difficulty: 2 of 5
Look at the grid below :
          +------+------+------+------+------+
    1 ==>           +5            +4         |
          +      +------+      +------+      +
          |  +2  |      |  +1  |      |  x2  |
          +      +------+      +------+      +
          |         -1            +8         |
          +      +------+      +------+      +
          |  +1            x2            +5  |
          +      +------+      +------+      +
          |         +5            +5        ==> X
          +------+------+------+------+------+
Entering the grid by the upper left corner with 1, you can trace a continuous path following through the +5 (obtaining 1 + 5 = 6), then through the +1 (obtaining 6 + 1 = 7), then through the x2 (obtaining 7 x 2 = 14), then through the +1 (obtaining 14 + 1 = 15), then through the +5 (obtaining 15 + 5 = 20), then finally through the +5 (obtaining 20 + 5 = 25), exiting the grid, and your (small) score is X = 25. Certainly you can achieve a greater score following through the grid by another path. The unique restrictions are that you canīt pass through the same way more than once and that the path must be continuous. More, you are not obligated to pass through all the grid and you can cross your path along the way. In fact, in this sample grid you can achieve X = 61.

Given the grid below (where the rows and columns are identified to make clear your path), whatīs the greatest score that you can achieve?)
         (A)    (B)    (C)    (D)    (E)    (F)    (G)    (H)    (I)    (J)    (K)    (L)    (M)
      +------+------+------+------+------+------+------+------+------+------+------+------+------+
 1 ==>          +3            +5            +1            +3            -1            +4         |    
      +      +------+      +------+      +------+      +------+      +------+      +------+      +
 (2)  |  +2  |      |  +7  |      |  +3  |      |  +4  |      |  +8  |      |  +1  |      |  x2  |  
      +      +------+      +------+      +------+      +------+      +------+      +------+      +
 (3)  |         +5            -2            +8            -1            +2            +2         |  
      +      +------+      +------+      +------+      +------+      +------+      +------+      +
 (4)  |  -1  |      |  +3  |      |  +9  |      |  +2  |      |  x2  |      |  +4  |      |  +1  |  
      +      +------+      +------+      +------+      +------+      +------+      +------+      +
 (5)  |         +7            -1            +3            -1            +3            +8         |  
      +      +------+      +------+      +------+      +------+      +------+      +------+      +
 (6)  |  x2  |      |  +5  |      |  +5  |      |  +4  |      |  +5  |      |  +2  |      |  +6  |  
      +      +------+      +------+      +------+      +------+      +------+      +------+      +
 (7)  |         +2            +8            +2            +8            +4            +4         |  
      +      +------+      +------+      +------+      +------+      +------+      +------+      +
 (8)  |  +1  |      |  -1  |      |  +1  |      |  x3  |      |  +2  |      |  x2  |      |  +1  |  
      +      +------+      +------+      +------+      +------+      +------+      +------+      +
 (9)  |         +2            +5            -1            +7            -1            +5          ===> X
      +------+------+------+------+------+------+------+------+------+------+------+------+------+
Note: We are not asking for the "MAXIMUM" score that can be achieved. We are asking for YOUR score. Also, to make this fair, for those who will use the computer, I ask gently to not post the score obtained this way.

See The Solution Submitted by pcbouhid    
Rating: 4.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: 874 lolPaulo Bouhid2005-10-10 00:50:20
874 lolhookedonphonics2005-10-08 20:30:10
No Subjectowl2005-08-14 10:31:36
Looks like fun (3911)Tristan2005-08-10 05:08:12
re(2): Okay, I think I'm done now (6337)Bob Smith2005-08-09 12:57:53
re: Okay, I think I'm done now (6337)Hugo2005-08-08 22:03:30
If somebody wanna try...pcbouhid2005-08-08 20:52:32
re: Okay, I think I'm done now (6337)pcbouhid2005-08-08 20:46:23
SolutionOkay, I think I'm done now (6337)Bob Smith2005-08-08 20:09:29
A breakthrough! (6185)Bob Smith2005-08-05 16:36:56
re(2): To all (my score)pcbouhid2005-08-05 16:24:45
re: To all (my score)Sam2005-08-05 15:21:39
Another tweak (5441)Bob Smith2005-08-04 20:23:20
To all (my score)pcbouhid2005-08-04 16:47:40
re(3): Another try (5345)............MORE!john2005-08-04 15:49:11
As the crow flies...john2005-08-04 15:45:15
re(5): Another try (5345)............MORE!pcbouhid2005-08-03 16:22:16
re(4): Another try (5345)............MORE!Bob Smith2005-08-03 15:55:04
re(3): Another try (5345)............MORE!pcbouhid2005-08-03 15:26:25
Some Thoughtsre(2): Another try (5345)............MORE!Bob Smith2005-08-03 02:08:48
2502Greg2005-08-02 19:51:20
re: Another try (5345)............MORE!pcbouhid2005-08-02 17:32:44
Another try (5345)Bob Smith2005-08-02 17:16:54
re(3): A quick try (5,177)............more! and a suggestion to allpcbouhid2005-08-01 18:20:29
re(2): A quick try (5,137)............more!Bob Smith2005-08-01 17:02:10
re: A quick try (5,137)............more!pcbouhid2005-08-01 16:42:59
Some ThoughtsA quick tryBob Smith2005-08-01 15:35:37
Thereīs a mistake in the sample.pcbouhid2005-08-01 14:48:13
re: 3031 -----Much more than thispcbouhid2005-08-01 14:25:53
re(6): First targetowl2005-07-31 23:50:56
re(5): First targetCharlie2005-07-31 21:38:42
re(4): First targetHugo2005-07-31 21:00:58
Some Thoughts3031owl2005-07-31 20:11:14
re(4): First targetpcbouhid2005-07-31 19:10:22
Questionre(3): First targetCharlie2005-07-31 16:53:43
re(2): First targetHugo2005-07-31 09:28:28
re: First targetpcbouhid2005-07-30 23:47:19
re: First targetpcbouhid2005-07-30 23:30:21
First targetHugo2005-07-30 14:22:18
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