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Select Cells in Grid With Maximum Score

You are given a 2D matrix grid consisting of positive integers.

You are given a 2D matrix grid consisting of positive integers.

You have to select one or more cells from the matrix such that the following conditions are satisfied:

Your score will be the sum of the values of the selected cells.

Return the maximum score you can achieve.

Select Cells in Grid With Maximum Score diagram

Example 1

Input: grid = [[1,2,3],[4,3,2],[1,1,1]]

Output: 8

Explanation: We can select the cells with values 1, 3, and 4 that are colored above.

Example 2

Input: grid = [[8,7,6],[8,3,2]]

Output: 15

Explanation: We can select the cells with values 7 and 8 that are colored above.

Constraints

  • 1 <= grid.length, grid[i].length <= 10
  • 1 <= grid[i][j] <= 100

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