You are given an m x n matrix grid consisting of positive integers. You can move from a cell in the matrix to any other cell that is either to the bottom or to the right (not necessarily adjacent). The score of a move from a cell with the value c1 to a cell with the value c2 is c2 - c1.
You can start at any cell, and you have to make at least one move.
Return the maximum total score you can achieve.
Examples
Example 1
Input: grid = [[9,5,7,3],[8,9,6,1],[6,7,14,3],[2,5,3,1]]
Output: 9
Explanation: We start at the cell (0, 1) , and we perform the following moves: - Move from the cell (0, 1) to (2, 1) with a score of 7 - 5 = 2 . - Move from the cell (2, 1) to (2, 2) with a score of 14 - 7 = 7 . The total score is 2 + 7 = 9 .
Example 2
Input: grid = [[4,3,2],[3,2,1]]
Output: -1
Explanation: We start at the cell (0, 0) , and we perform one move: (0, 0) to (0, 1) . The score is 3 - 4 = -1 .
Constraints
m == grid.length
n == grid[i].length
2 <= m, n <= 1000
4 <= m * n <= 105
1 <= grid[i][j] <= 105
3148. Maximum Difference Score in a Grid
Medium
30 Points
Array
Dynamic Programming
Matrix
You are given an m x n matrix grid consisting of positive integers. You can move from a cell in the matrix to any other cell that is either to the bottom or to the right (not necessarily adjacent). The score of a move from a cell with the value c1 to a cell with the value c2 is c2 - c1.
You can start at any cell, and you have to make at least one move.
Return the maximum total score you can achieve.
Examples
Example 1
Input: grid = [[9,5,7,3],[8,9,6,1],[6,7,14,3],[2,5,3,1]]
Output: 9
Explanation: We start at the cell (0, 1) , and we perform the following moves: - Move from the cell (0, 1) to (2, 1) with a score of 7 - 5 = 2 . - Move from the cell (2, 1) to (2, 2) with a score of 14 - 7 = 7 . The total score is 2 + 7 = 9 .
Example 2
Input: grid = [[4,3,2],[3,2,1]]
Output: -1
Explanation: We start at the cell (0, 0) , and we perform one move: (0, 0) to (0, 1) . The score is 3 - 4 = -1 .
Constraints
m == grid.length
n == grid[i].length
2 <= m, n <= 1000
4 <= m * n <= 105
1 <= grid[i][j] <= 105
Maximum Difference Score in a Grid - Practice Coding | SlaveCode