Optimized algorithm to place objects in a nxm Grid according to given Pattern

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As shown in the image, the top right corner specifies the pattern in which the center grid is to be filled with colored boxes(could be more than 2 colors).



Image of Activity Area



we are starting from (0,0) bottom left corner. We can't move outside the activity area. Please suggest an optimized algorithm that takes care of following edge cases and fill the grid(White area) in minimum possible time:




  • Grid could have already wrongly filled boxes, which should be placed somewhere else before filling that position.

  • We can't move over a box but we can pick it up.

  • We could be blocked from all sides by boxes so we need take care of that.






algorithm matrix grid adjacency-matrix game-theory







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    down vote

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    As shown in the image, the top right corner specifies the pattern in which the center grid is to be filled with colored boxes(could be more than 2 colors).



    Image of Activity Area



    we are starting from (0,0) bottom left corner. We can't move outside the activity area. Please suggest an optimized algorithm that takes care of following edge cases and fill the grid(White area) in minimum possible time:




    • Grid could have already wrongly filled boxes, which should be placed somewhere else before filling that position.

    • We can't move over a box but we can pick it up.

    • We could be blocked from all sides by boxes so we need take care of that.






    algorithm matrix grid adjacency-matrix game-theory







    share|improve this question









    New contributor




    Pandey is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






















      up vote
      -1
      down vote

      favorite









      up vote
      -1
      down vote

      favorite











      As shown in the image, the top right corner specifies the pattern in which the center grid is to be filled with colored boxes(could be more than 2 colors).



      Image of Activity Area



      we are starting from (0,0) bottom left corner. We can't move outside the activity area. Please suggest an optimized algorithm that takes care of following edge cases and fill the grid(White area) in minimum possible time:




      • Grid could have already wrongly filled boxes, which should be placed somewhere else before filling that position.

      • We can't move over a box but we can pick it up.

      • We could be blocked from all sides by boxes so we need take care of that.






      algorithm matrix grid adjacency-matrix game-theory







      share|improve this question









      New contributor




      Pandey is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      As shown in the image, the top right corner specifies the pattern in which the center grid is to be filled with colored boxes(could be more than 2 colors).



      Image of Activity Area



      we are starting from (0,0) bottom left corner. We can't move outside the activity area. Please suggest an optimized algorithm that takes care of following edge cases and fill the grid(White area) in minimum possible time:




      • Grid could have already wrongly filled boxes, which should be placed somewhere else before filling that position.

      • We can't move over a box but we can pick it up.

      • We could be blocked from all sides by boxes so we need take care of that.






      algorithm matrix grid adjacency-matrix game-theory




      algorithm matrix grid adjacency-matrix game-theory






      share|improve this question









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      Pandey is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











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      edited Nov 21 at 15:09









      M Oehm

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      asked Nov 21 at 14:31









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