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Minimum Moves to Reach Target with Rotations

arraybreadth-first searchmatrix

Problem Statement

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 .

Examples

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
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.
😤
Hard
Difficulty
Topic Info
ModuleDSA
CategoryArray
Sub-topicBreadth-First Search
Tags
arraybreadth-first searchmatrix
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