How to Solve Sum in a Matrix Problem
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Sum in a Matrix
You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until the matrix becomes empty: From each row in the matrix, select the largest number and...
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Understanding the Sum in a Matrix Problem
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Problem Statement
You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until the matrix becomes empty: From each row in the matrix, select the largest number and remove it. In the case of a tie, it does not matter which number is chosen. Identify the highest number amongst all those removed in step 1. Add that number to your score. Return the final score.
Sum in a Matrix
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Examples
nums = [[7,2,1],[6,4,2],[6,5,3],[3,2,1]]
15
In the first operation, we remove 7, 6, 6, and 3. We then add 7 to our score. Next, we remove 2, 4, 5, and 2. We add 5 to our score. Lastly, we remove 1, 2, 3, and 1. We add 3 to our score. Thus, our final score is 7 + 5 + 3 = 15.
nums = [[1]]
1
We remove 1 and add it to the answer. We return 1.
Constraints
1 <= nums.length <= 300
1 <= nums[i].length <= 500
0 <= nums[i][j] <= 103
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