{ "data": { "question": { "questionId": "2801", "questionFrontendId": "2711", "categoryTitle": "Algorithms", "boundTopicId": 2284417, "title": "Difference of Number of Distinct Values on Diagonals", "titleSlug": "difference-of-number-of-distinct-values-on-diagonals", "content": "

Given a 2D grid of size m x n, you should find the matrix answer of size m x n.

\n\n

The cell answer[r][c] is calculated by looking at the diagonal values of the cell grid[r][c]:

\n\n\n\n

A matrix diagonal is a diagonal line of cells starting from some cell in either the topmost row or leftmost column and going in the bottom-right direction until the end of the matrix is reached.

\n\n\n\n

\"\"

\n\n

Return the matrix answer.

\n\n

 

\n

Example 1:

\n\n
\n

Input: grid = [[1,2,3],[3,1,5],[3,2,1]]

\n\n

Output: Output: [[1,1,0],[1,0,1],[0,1,1]]

\n\n

Explanation:

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To calculate the answer cells:

\n\n\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n
answerleft-above elementsleftAboveright-below elementsrightBelow|leftAbove - rightBelow|
[0][0][]0[grid[1][1], grid[2][2]]|{1, 1}| = 11
[0][1][]0[grid[1][2]]|{5}| = 11
[0][2][]0[]00
[1][0][]0[grid[2][1]]|{2}| = 11
[1][1][grid[0][0]]|{1}| = 1[grid[2][2]]|{1}| = 10
[1][2][grid[0][1]]|{2}| = 1[]01
[2][0][]0[]00
[2][1][grid[1][0]]|{3}| = 1[]01
[2][2][grid[0][0], grid[1][1]]|{1, 1}| = 1[]01
\n
\n\n

Example 2:

\n\n
\n

Input: grid = [[1]]

\n\n

Output: Output: [[0]]

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "对角线上不同值的数量差", "translatedContent": "

给你一个下标从 0 开始、大小为 m x n 的二维矩阵 grid ,请你求解大小同样为 m x n 的答案矩阵 answer

\n\n

矩阵 answer 中每个单元格 (r, c) 的值可以按下述方式进行计算:

\n\n\n\n

然后 answer[r][c] = |topLeft[r][c] - bottomRight[r][c]|

\n\n

返回矩阵 answer

\n\n

矩阵对角线 是从最顶行或最左列的某个单元格开始,向右下方向走到矩阵末尾的对角线。

\n\n

如果单元格 (r1, c1) 和单元格 (r, c) 属于同一条对角线且 r1 < r ,则单元格 (r1, c1) 属于单元格 (r, c) 的左上对角线。类似地,可以定义右下对角线。

\n\n

 

\n\n

示例 1:

\n\"\"\n
\n输入:grid = [[1,2,3],[3,1,5],[3,2,1]]\n输出:[[1,1,0],[1,0,1],[0,1,1]]\n解释:第 1 个图表示最初的矩阵 grid 。 \n第 2 个图表示对单元格 (0,0) 计算,其中蓝色单元格是位于右下对角线的单元格。\n第 3 个图表示对单元格 (1,2) 计算,其中红色单元格是位于左上对角线的单元格。\n第 4 个图表示对单元格 (1,1) 计算,其中蓝色单元格是位于右下对角线的单元格,红色单元格是位于左上对角线的单元格。\n- 单元格 (0,0) 的右下对角线包含 [1,1] ,而左上对角线包含 [] 。对应答案是 |1 - 0| = 1 。\n- 单元格 (1,2) 的右下对角线包含 [] ,而左上对角线包含 [2] 。对应答案是 |0 - 1| = 1 。\n- 单元格 (1,1) 的右下对角线包含 [1] ,而左上对角线包含 [1] 。对应答案是 |1 - 1| = 0 。\n其他单元格的对应答案也可以按照这样的流程进行计算。\n
\n\n

示例 2:

\n\n
\n输入:grid = [[1]]\n输出:[[0]]\n解释:- 单元格 (0,0) 的右下对角线包含 [] ,左上对角线包含 [] 。对应答案是 |0 - 0| = 0 。\n
\n\n

 

\n\n

提示:

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