Minimum Path Sum in a grid?

int MinPathSum(int[][] grid) {
int m = grid.Length, n = grid[0].Length;
for (int i = 1; i < m; i++) grid[i][0] += grid[i - 1][0];
for (int j = 1; j < n; j++) grid[0][j] += grid[0][j - 1];
for (int i = 1; i < m; i++) {
for (int j = 1; j < n; j++) {
grid[i][j] += Math.Min(grid[i - 1][j], grid[i][j - 1]);
}
}
return grid[m - 1][n - 1];
}