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Star Trek (Posted on 2005-09-23) Difficulty: 3 of 5
                                    
                  * * * * * 
            * * * * 4 7 7 * * * * 
        * * * 5 4 4 8 3 3 4 6 3 * * * 
      * * 1 4 5 1 1 1 4 5 1 7 1 3 5 * *
    * * 4 9 4 9 6 7 5 5 5 8 7 6 6 8 5 * *
    * 3 7 2 9 8 3 5 6 7 3 9 1 8 7 5 8 5 *
  * * 1 4 7 8 4 2 9 2 7 1 1 8 2 2 7 6 3 * *
  * 7 2 1 8 5 5 3 1 1 3 1 3 3 4 2 8 6 1 3 *
  * 4 2 6 7 2 5 2 4 2 2 5 4 3 2 8 1 7 7 3 *
* * 4 1 6 5 1 1 1 9 1 4 3 4 4 3 1 9 8 2 7 * *
* 4 3 5 2 3 2 2 3 2 4 2 5 3 5 1 1 3 5 5 3 7 *
* 2 7 1 5 1 1 3 1 5 3(3)2 4 2 3 7 7 5 4 2 7 *
* 2 5 2 2 6 1 2 4 4 6 3 4 1 2 1 2 6 5 1 8 8 *
* * 4 3 7 5 1 9 3 4 4 5 2 9 4 1 9 5 7 4 8 * *
  * 4 1 6 7 8 3 4 3 4 1 3 1 2 3 2 3 6 2 4 *
  * 7 3 2 6 1 5 3 9 2 3 2 1 5 7 5 8 9 5 4 *
  * * 1 6 7 3 4 8 1 2 1 2 1 2 2 8 9 4 1 * *
    * 2 5 4 7 8 7 5 6 1 3 5 7 8 7 2 9 3 *
    * * 6 5 6 4 6 7 2 5 2 2 6 3 4 7 4 * *
      * * 2 3 1 2 3 3 3 2 1 3 2 1 1 * *
        * * * 7 4 4 5 7 3 4 4 7 * * *
            * * * * 3 3 4 * * * *
                  * * * * *

Starting from the central cell of this maze (there's a (3) in it), the challenge is to find a path that leads you off the maze, and to a "star" (*).

The number at each cell shows how many steps, in a straight line, you must take. You can travel horizontally, vertically, or diagonally, up or down, left or right.

But! You must reach the first star in the direction you are travelling in an exact number of steps, and not go any further. If you reach a star, and still have some steps "left over", you cannot exit that way.

See The Solution Submitted by pcbouhid    
Rating: 3.6000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): computer solution -- | Comment 14 of 27 |
(In reply to re: computer solution -- "graphically" displayed by Charlie)

Biasing the path to the lower right rather than the upper left does lead to early (and long) solutions that are weighted in that direction.  (Ultimately the same two 9-step solutions are led to.)

                                                                                                         
                                                4    7    7                                             
                                                                                                        
                                                                                                        
                                 5    4    4    8    3    3    4    6    3                              
                                                                                                        
                                                                                                        
                       1    4    5    1    1    1    4    5    1    7    1    3    5                    
                                                                                                        
                                                                                                        
                  4    9    4    9    6    7    5    5    5    8    7    6  376    8  775               
                                                                              v        /                
                                                                                                        
             3    7    2    9    8    3    5    6    7    3    9  571    8    7    5    8 <565          
                                                                     \                                  
                                                                               /                        
             1    4    7    8    4    2    9    2    7    1    1    8  582  762    7  266    3          
                                                                          \             v               
                                                                                                        
        7    2    1    8    5    5    3    1    1    3    1    3    3    4    2  228    6    1    3     
                                                                                   v                    
                                                                                                        
        4    2    6    7    2    5   62    4    2    2    5    4    3    2 < 58  591    7    7    3     
                                       \                                            \                   
                                                                                                        
        4    1    6    5    1    1    1    9    1    4    3  784    4  333    1    9  608    2    7     
                                                              /          v             /                
                                                                     /                                  
   4    3    5    2    3    2    2    3  502   74    2    5    3  555  671  381    3    5 <545  463    7
                                            \   v                         \    \                  v     
                                                                                                        
   2    7    1    5    1    1    3    1  705    3   13    2    4    2    3  687  397    5    4    2    7
                                           v          \                      /     v                    
                                                 /                                                      
   2    5    2    2    6    1    2    4  634  756  513    4    1  112  341    2    6  275    1    8    8
                                            \         \              \    \             v               
                                  /                                                                     
        4    3    7    5    1  369    3  794    4    5    2    9    4    1 <359    5    7    4  478     
                                          /                                                      /      
                                                                                                  ^     
        4    1    6    7    8    3  734    3   84    1    3    1   22    3  122    3    6    2  454     
                                     /           \                   \         \                        
                                                                                        ^    ^          
        7    3    2    6    1    5    3  249>   2    3    2    1  525>   7    5 <238  259  535    4     
                                                                                                        
                                       /       \                                   ^                    
             1    6    7    3    4   48  711> 722    1    2  641  432    2 < 38  219  134    1          
                                                               v     \                 /                
                   /                   /                                 ^   \                          
             2  625  804    7  318> 667  295><616    1    3 <655 <307  328  497    2 <289    3          
                        \                                                                               
                   /                   /   ^               /                   /                        
                746    5    6    4  106  697  412>   5  422    2 < 96    3  444 <407    4               
                                                                                                        
                                                                                                        
                       2    3    1    2    3    3    3    2    1    3    2    1    1                    
                                                                                                        
                                                                /                                       
                                 7  174> 194> 155>   7 <183  204 <144 <167                              
                                                                                                        
                                                           /                                            
                                         810    3    3  484                                             

  Posted by Charlie on 2005-09-24 02:49:42
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