Minimum Cost to Destination

You are given an NxM matrix consisting of '0's and '1's. A '1' signifies that the cell is accessible, whereas a '0' indicates that the cell is blocked. Your task is to compute the minimum cost required to travel from the starting point (0, 0) to a specified destination (X, Y).

You can move in the following four directions from any given cell (i, j):

1. Left - (i, j-1)
2. Right - (i, j+1)
3. Up - (i-1, j)
4. Down - (i+1, j)

Traversing in the 'Up' and 'Down' directions incurs a cost of 1. Movements to the 'Left' and 'Right' are free of cost. If it is impossible to reach (X, Y), return -1.

Input:

The first line contains two integers 'N' and 'M', representing the number of rows and columns of the matrix, respectively.
The next N lines contain M integers each, representing the row values of the matrix.
The final line consists of two integers, 'X' and 'Y', denoting the destination coordinates.

Output:

Print the minimum cost to reach (X, Y) from (0, 0). If the destination is unreachable, print -1.

Example:

Input:
3 3
1 0 1
1 1 0
0 1 1
2 2
Output:
2

Constraints:

  • 1 <= N <= 10^3
  • 1 <= M <= 10^3
  • 0 <= matrix[i][j] <= 1
  • 0 <= X < N
  • 0 <= Y < M

Note:

  • The starting point matrix[0][0] will always be 1.
  • 'X' and 'Y' are 0-based indices.
  • You do not need to print the output, implement the function that computes the result.
AnswerBot
2d

Find the minimum cost to reach a destination in a matrix with specified rules.

  • Use Breadth First Search (BFS) algorithm to explore all possible paths from the starting point to the destination.

  • Keep tra...read more

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