Leetcode Problem 64. Minimum Path Sum

64. Minimum Path Sum

Leetcode Solutions

Dynamic Programming (Without Extra Space)

  1. Check if the grid is empty; if so, return 0.
  2. Iterate over the grid starting from the bottom-right corner.
  3. For each cell (i, j), if it's not on the bottom row, add the value from the cell directly below (i+1, j) to its value.
  4. If it's not in the rightmost column, add the value from the cell directly to the right (i, j+1) to its value.
  5. Take the minimum of the two sums calculated in steps 3 and 4 and update the cell's value with it.
  6. Continue this process until the top-left corner is reached.
  7. Return the value of the top-left corner of the grid, which now contains the minimum path sum.
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