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Shortest Cell Path In a given grid


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.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty{ margin-bottom:0;
}







2












$begingroup$


I was given this problem in a mock interview. Would appreciate some code review for my implementation.




Shortest Cell Path In a given grid of 0s and 1s, we have some starting
row and column sr, sc and a target row and column tr, tc. Return the
length of the shortest path from sr, sc to tr, tc that walks along 1
values only.



Each location in the path, including the start and the end, must be a
1. Each subsequent location in the path must be 4-directionally adjacent to the previous location.



It is guaranteed that grid[sr][sc] = grid[tr][tc] = 1, and the
starting and target positions are different.



If the task is impossible, return -1.



Examples:



input: grid = [[1, 1, 1, 1], [0, 0, 0, 1], [1, 1, 1, 1]] sr = 0, sc =
0, tr = 2, tc = 0 output: 8 (The lines below represent this grid:)
1111 0001 1111



grid = [[1, 1, 1, 1], [0, 0, 0, 1], [1, 0, 1, 1]] sr = 0, sc = 0, tr =
2, tc = 0 output: -1 (The lines below represent this grid:) 1111 0001
1011




def shortestCellPath(grid, sr, sc, tr, tc):
"""
@param grid: int[][]
@param sr: int
@param sc: int
@param tr: int
@param tc: int
@return: int
"""
path_lengths = []
shortestCellPathHelper(grid, sr, sc, tr, tc, 0, path_lengths)

return -1 if len(path_lengths) == 0 else min(path_lengths)

def shortestCellPathHelper(grid, r, c, tr, tc, path_len, path_lengths):
if r < 0 or r >= len(grid) or c < 0 or c >= len(grid[0]):
return

if grid[r][c] != 1:
return

if r == tr and c == tc:
path_lengths.append(path_len)
return

grid[r][c] = -1

#4 directions
shortestCellPathHelper(grid, r, c - 1, tr, tc, path_len + 1, path_lengths)
shortestCellPathHelper(grid, r, c + 1, tr, tc, path_len + 1, path_lengths)
shortestCellPathHelper(grid, r - 1, c, tr, tc, path_len + 1, path_lengths)
shortestCellPathHelper(grid, r + 1, c, tr, tc, path_len + 1, path_lengths)









share|improve this question









$endgroup$



















    2












    $begingroup$


    I was given this problem in a mock interview. Would appreciate some code review for my implementation.




    Shortest Cell Path In a given grid of 0s and 1s, we have some starting
    row and column sr, sc and a target row and column tr, tc. Return the
    length of the shortest path from sr, sc to tr, tc that walks along 1
    values only.



    Each location in the path, including the start and the end, must be a
    1. Each subsequent location in the path must be 4-directionally adjacent to the previous location.



    It is guaranteed that grid[sr][sc] = grid[tr][tc] = 1, and the
    starting and target positions are different.



    If the task is impossible, return -1.



    Examples:



    input: grid = [[1, 1, 1, 1], [0, 0, 0, 1], [1, 1, 1, 1]] sr = 0, sc =
    0, tr = 2, tc = 0 output: 8 (The lines below represent this grid:)
    1111 0001 1111



    grid = [[1, 1, 1, 1], [0, 0, 0, 1], [1, 0, 1, 1]] sr = 0, sc = 0, tr =
    2, tc = 0 output: -1 (The lines below represent this grid:) 1111 0001
    1011




    def shortestCellPath(grid, sr, sc, tr, tc):
    """
    @param grid: int[][]
    @param sr: int
    @param sc: int
    @param tr: int
    @param tc: int
    @return: int
    """
    path_lengths = []
    shortestCellPathHelper(grid, sr, sc, tr, tc, 0, path_lengths)

    return -1 if len(path_lengths) == 0 else min(path_lengths)

    def shortestCellPathHelper(grid, r, c, tr, tc, path_len, path_lengths):
    if r < 0 or r >= len(grid) or c < 0 or c >= len(grid[0]):
    return

    if grid[r][c] != 1:
    return

    if r == tr and c == tc:
    path_lengths.append(path_len)
    return

    grid[r][c] = -1

    #4 directions
    shortestCellPathHelper(grid, r, c - 1, tr, tc, path_len + 1, path_lengths)
    shortestCellPathHelper(grid, r, c + 1, tr, tc, path_len + 1, path_lengths)
    shortestCellPathHelper(grid, r - 1, c, tr, tc, path_len + 1, path_lengths)
    shortestCellPathHelper(grid, r + 1, c, tr, tc, path_len + 1, path_lengths)









    share|improve this question









    $endgroup$















      2












      2








      2





      $begingroup$


      I was given this problem in a mock interview. Would appreciate some code review for my implementation.




      Shortest Cell Path In a given grid of 0s and 1s, we have some starting
      row and column sr, sc and a target row and column tr, tc. Return the
      length of the shortest path from sr, sc to tr, tc that walks along 1
      values only.



      Each location in the path, including the start and the end, must be a
      1. Each subsequent location in the path must be 4-directionally adjacent to the previous location.



      It is guaranteed that grid[sr][sc] = grid[tr][tc] = 1, and the
      starting and target positions are different.



      If the task is impossible, return -1.



      Examples:



      input: grid = [[1, 1, 1, 1], [0, 0, 0, 1], [1, 1, 1, 1]] sr = 0, sc =
      0, tr = 2, tc = 0 output: 8 (The lines below represent this grid:)
      1111 0001 1111



      grid = [[1, 1, 1, 1], [0, 0, 0, 1], [1, 0, 1, 1]] sr = 0, sc = 0, tr =
      2, tc = 0 output: -1 (The lines below represent this grid:) 1111 0001
      1011




      def shortestCellPath(grid, sr, sc, tr, tc):
      """
      @param grid: int[][]
      @param sr: int
      @param sc: int
      @param tr: int
      @param tc: int
      @return: int
      """
      path_lengths = []
      shortestCellPathHelper(grid, sr, sc, tr, tc, 0, path_lengths)

      return -1 if len(path_lengths) == 0 else min(path_lengths)

      def shortestCellPathHelper(grid, r, c, tr, tc, path_len, path_lengths):
      if r < 0 or r >= len(grid) or c < 0 or c >= len(grid[0]):
      return

      if grid[r][c] != 1:
      return

      if r == tr and c == tc:
      path_lengths.append(path_len)
      return

      grid[r][c] = -1

      #4 directions
      shortestCellPathHelper(grid, r, c - 1, tr, tc, path_len + 1, path_lengths)
      shortestCellPathHelper(grid, r, c + 1, tr, tc, path_len + 1, path_lengths)
      shortestCellPathHelper(grid, r - 1, c, tr, tc, path_len + 1, path_lengths)
      shortestCellPathHelper(grid, r + 1, c, tr, tc, path_len + 1, path_lengths)









      share|improve this question









      $endgroup$




      I was given this problem in a mock interview. Would appreciate some code review for my implementation.




      Shortest Cell Path In a given grid of 0s and 1s, we have some starting
      row and column sr, sc and a target row and column tr, tc. Return the
      length of the shortest path from sr, sc to tr, tc that walks along 1
      values only.



      Each location in the path, including the start and the end, must be a
      1. Each subsequent location in the path must be 4-directionally adjacent to the previous location.



      It is guaranteed that grid[sr][sc] = grid[tr][tc] = 1, and the
      starting and target positions are different.



      If the task is impossible, return -1.



      Examples:



      input: grid = [[1, 1, 1, 1], [0, 0, 0, 1], [1, 1, 1, 1]] sr = 0, sc =
      0, tr = 2, tc = 0 output: 8 (The lines below represent this grid:)
      1111 0001 1111



      grid = [[1, 1, 1, 1], [0, 0, 0, 1], [1, 0, 1, 1]] sr = 0, sc = 0, tr =
      2, tc = 0 output: -1 (The lines below represent this grid:) 1111 0001
      1011




      def shortestCellPath(grid, sr, sc, tr, tc):
      """
      @param grid: int[][]
      @param sr: int
      @param sc: int
      @param tr: int
      @param tc: int
      @return: int
      """
      path_lengths = []
      shortestCellPathHelper(grid, sr, sc, tr, tc, 0, path_lengths)

      return -1 if len(path_lengths) == 0 else min(path_lengths)

      def shortestCellPathHelper(grid, r, c, tr, tc, path_len, path_lengths):
      if r < 0 or r >= len(grid) or c < 0 or c >= len(grid[0]):
      return

      if grid[r][c] != 1:
      return

      if r == tr and c == tc:
      path_lengths.append(path_len)
      return

      grid[r][c] = -1

      #4 directions
      shortestCellPathHelper(grid, r, c - 1, tr, tc, path_len + 1, path_lengths)
      shortestCellPathHelper(grid, r, c + 1, tr, tc, path_len + 1, path_lengths)
      shortestCellPathHelper(grid, r - 1, c, tr, tc, path_len + 1, path_lengths)
      shortestCellPathHelper(grid, r + 1, c, tr, tc, path_len + 1, path_lengths)






      python






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Apr 2 at 6:40









      NinjaGNinjaG

      903633




      903633






















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