{ "data": { "question": { "questionId": "2728", "questionFrontendId": "2679", "categoryTitle": "Algorithms", "boundTopicId": 2266663, "title": "Sum in a Matrix", "titleSlug": "sum-in-a-matrix", "content": "

You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until the matrix becomes empty:

\n\n
    \n\t
  1. 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.
    2. \n\t
  2. Identify the highest number amongst all those removed in step 1. Add that number to your score.
    3. \n
\n\n

Return the final score.

\n

 

\n

Example 1:

\n\n
\nInput: nums = [[7,2,1],[6,4,2],[6,5,3],[3,2,1]]\nOutput: 15\nExplanation: 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.\n
\n\n

Example 2:

\n\n
\nInput: nums = [[1]]\nOutput: 1\nExplanation: We remove 1 and add it to the answer. We return 1.
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "矩阵中的和", "translatedContent": "

给你一个下标从 0 开始的二维整数数组 nums 。一开始你的分数为 0 。你需要执行以下操作直到矩阵变为空：

\n\n
    \n\t
  1. 矩阵中每一行选取最大的一个数，并删除它。如果一行中有多个最大的数，选择任意一个并删除。
    2. \n\t
  2. 在步骤 1 删除的所有数字中找到最大的一个数字，将它添加到你的 分数 中。
    3. \n
\n\n

请你返回最后的 分数 。

\n\n

 

\n\n

示例 1：

\n\n
\n输入：nums = [[7,2,1],[6,4,2],[6,5,3],[3,2,1]]\n输出：15\n解释：第一步操作中，我们删除 7 ，6 ，6 和 3 ，将分数增加 7 。下一步操作中，删除 2 ，4 ，5 和 2 ，将分数增加 5 。最后删除 1 ，2 ，3 和 1 ，将分数增加 3 。所以总得分为 7 + 5 + 3 = 15 。\n
\n\n

示例 2：

\n\n
\n输入：nums = [[1]]\n输出：1\n解释：我们删除 1 并将分数增加 1 ，所以返回 1 。
\n\n

 

\n\n

提示：

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