Maze solving

Maze solving is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page.

For a maze generated by this task, write a function that finds (and displays) for a given cell the shortest path to the next exit. Note that because these mazes are generated by the Depth-first search algorithm, they contain no circular paths, and a simple depth-first tree search can be used.

PicoLisp

<lang PicoLisp>(de shortestExit (This Maze)

  (let (Path NIL  Best NIL)
     (recur (This Path)
        (when (and This (not (: mark)))
           (push 'Path This)
           (let Cell (val This)
              (if (fish =T Cell)
                 (unless (and Best (>= (length Path) (length Best)))
                    (setq Best Path) )
                 (=: mark T)
                 (recurse (caar Cell) Path)
                 (recurse (cdar Cell) Path)
                 (recurse (cadr Cell) Path)
                 (recurse (cddr Cell) Path)
                 (=: mark NIL) ) ) ) )
     (disp Maze 0
        '((This) (if (memq This Best) " # " "   ")) ) ) )</lang>

Output, using the maze produced in Maze generation#PicoLisp:

: (shortestExit 'a1 Maze)
    +   +---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+
 12 | # | #   #     |           |               |                   |
    +   +   +   +   +   +---+   +   +---+---+   +   +---+   +---+   +
 11 | #   # | # |       |   |       |   |       |   |       |       |
    +   +---+   +---+---+   +---+---+   +   +---+---+   +---+   +---+
 10 |   |   | # |           |       |       |           |       |   |
    +   +   +   +---+   +   +   +   +   +---+---+   +---+   +---+   +
  9 |       | #   # |   |   |   |       |       |   |       |       |
    +   +---+---+   +   +---+   +---+---+   +   +   +   +---+   +   +
  8 |   | #   # | # |           |           |       |   |       |   |
    +   +   +   +   +   +---+---+   +---+   +---+---+   +---+   +   +
  7 |   | # | #   # |           |       |       |       |       |   |
    +---+   +---+---+---+---+   +---+   +---+   +   +---+   +---+   +
  6 |   | #   # |           |   |       |   |   |           |   |   |
    +   +---+   +---+   +---+   +   +---+   +   +---+---+---+   +   +
  5 |       | #   # |           |           |   |               |   |
    +---+   +---+   +---+   +---+   +---+---+   +   +---+   +---+   +
  4 |   |       | #   # |       |   |       |   |       |   |       |
    +   +---+   +---+   +---+   +---+   +   +   +---+---+   +   +---+
  3 |       |       | # |   |           |   |           |   |       |
    +   +---+---+   +   +   +---+---+---+   +---+   +   +   +---+   +
  2 | #   # |       | # |   |           |       |   |   |           |
    +   +   +   +---+   +   +   +---+   +---+   +---+   +   +---+---+
  1 | # | #   #   #   # |           |                   |
    +---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+
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