Leetcode Problem 2912. Number of Ways to Reach Destination in the Grid

2912. Number of Ways to Reach Destination in the Grid

Leetcode Solutions

Dynamic Programming Approach

  1. Initialize four variables cell, row, col, and start to represent the number of ways to reach cells of different types.
  2. Set start to 1, as there is initially one way to be at the source.
  3. Calculate the number of cells in the same row (cellsInRow) and the same column (cellsInCol) as the source, excluding the source itself.
  4. Calculate the number of cells in the same row (othersInRow) and the same column (othersInCol) as the source, excluding the source and the destination if they are in the same row or column.
  5. Iterate from 1 to k, updating the variables cell, row, col, and start based on the possible moves.
  6. After k moves, return the variable corresponding to the type of the destination cell.
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Matrix Exponentiation Approach

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