Package g1201_1300.s1210_minimum_moves_to_reach_target_with_rotations

Class Solution

java.lang.Object
g1201_1300.s1210_minimum_moves_to_reach_target_with_rotations.Solution
public class Solution extends java.lang.Object
1210 - Minimum Moves to Reach Target with Rotations.

Hard

In an n*n grid, there is a snake that spans 2 cells and starts moving from the top left corner at (0, 0) and (0, 1). The grid has empty cells represented by zeros and blocked cells represented by ones. The snake wants to reach the lower right corner at (n-1, n-2) and (n-1, n-1).

In one move the snake can:

  • Move one cell to the right if there are no blocked cells there. This move keeps the horizontal/vertical position of the snake as it is.
  • Move down one cell if there are no blocked cells there. This move keeps the horizontal/vertical position of the snake as it is.
  • Rotate clockwise if it’s in a horizontal position and the two cells under it are both empty. In that case the snake moves from (r, c) and (r, c+1) to (r, c) and (r+1, c).
  • Rotate counterclockwise if it’s in a vertical position and the two cells to its right are both empty. In that case the snake moves from (r, c) and (r+1, c) to (r, c) and (r, c+1).

Return the minimum number of moves to reach the target.

If there is no way to reach the target, return -1.

Example 1:

Input:

 grid = [ [0,0,0,0,0,1], 
         [1,1,0,0,1,0], 
         [0,0,0,0,1,1], 
         [0,0,1,0,1,0], 
         [0,1,1,0,0,0], 
         [0,1,1,0,0,0]]

Output: 11

Explanation: One possible solution is [right, right, rotate clockwise, right, down, down, down, down, rotate counterclockwise, right, down].

Example 2:

Input:

 grid = [ [0,0,1,1,1,1], 
         [0,0,0,0,1,1], 
         [1,1,0,0,0,1], 
         [1,1,1,0,0,1], 
         [1,1,1,0,0,1], 
         [1,1,1,0,0,0]]

Output: 9

Constraints:

  • 2 <= n <= 100
  • 0 <= grid[i][j] <= 1
  • It is guaranteed that the snake starts at empty cells.

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    minimumMoves(int[][] grid)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • minimumMoves

      public int minimumMoves(int[][] grid)