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Delete Greatest Value in Each Row

You are given an m x n matrix grid consisting of positive integers.

You are given an m x n matrix grid consisting of positive integers.

Perform the following operation until grid becomes empty:

Note that the number of columns decreases by one after each operation.

Return the answer after performing the operations described above.

Delete Greatest Value in Each Row diagram

Example 1

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

Output: 8

Explanation: The diagram above shows the removed values in each step. - In the first operation, we remove 4 from the first row and 3 from the second row (notice that, there are two cells with value 3 and we can remove any of them). We add 4 to the answer. - In the second operation, we remove 2 from the first row and 3 from the second row. We add 3 to the answer. - In the third operation, we remove 1 from the first row and 1 from the second row. We add 1 to the answer. The final answer = 4 + 3 + 1 = 8.

Example 2

Input: grid = [[10]]

Output: 10

Explanation: The diagram above shows the removed values in each step. - In the first operation, we remove 10 from the first row. We add 10 to the answer. The final answer = 10.

Constraints

  • m == grid.length
  • n == grid[i].length
  • 1 <= m, n <= 50
  • 1 <= grid[i][j] <= 100

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