leetcode-problemset/leetcode-cn/originData/difference-between-ones-and-zeros-in-row-and-column.json

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            "questionId": "2606",
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            "categoryTitle": "Algorithms",
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            "title": "Difference Between Ones and Zeros in Row and Column",
            "titleSlug": "difference-between-ones-and-zeros-in-row-and-column",
            "content": "<p>You are given a <strong>0-indexed</strong> <code>m x n</code> binary matrix <code>grid</code>.</p>\n\n<p>A <strong>0-indexed</strong> <code>m x n</code> difference matrix <code>diff</code> is created with the following procedure:</p>\n\n<ul>\n\t<li>Let the number of ones in the <code>i<sup>th</sup></code> row be <code>onesRow<sub>i</sub></code>.</li>\n\t<li>Let the number of ones in the <code>j<sup>th</sup></code> column be <code>onesCol<sub>j</sub></code>.</li>\n\t<li>Let the number of zeros in the <code>i<sup>th</sup></code> row be <code>zerosRow<sub>i</sub></code>.</li>\n\t<li>Let the number of zeros in the <code>j<sup>th</sup></code> column be <code>zerosCol<sub>j</sub></code>.</li>\n\t<li><code>diff[i][j] = onesRow<sub>i</sub> + onesCol<sub>j</sub> - zerosRow<sub>i</sub> - zerosCol<sub>j</sub></code></li>\n</ul>\n\n<p>Return <em>the difference matrix </em><code>diff</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img src=\"https://assets.leetcode.com/uploads/2022/11/06/image-20221106171729-5.png\" style=\"width: 400px; height: 208px;\" />\n<pre>\n<strong>Input:</strong> grid = [[0,1,1],[1,0,1],[0,0,1]]\n<strong>Output:</strong> [[0,0,4],[0,0,4],[-2,-2,2]]\n<strong>Explanation:</strong>\n- diff[0][0] = <code>onesRow<sub>0</sub> + onesCol<sub>0</sub> - zerosRow<sub>0</sub> - zerosCol<sub>0</sub></code> = 2 + 1 - 1 - 2 = 0 \n- diff[0][1] = <code>onesRow<sub>0</sub> + onesCol<sub>1</sub> - zerosRow<sub>0</sub> - zerosCol<sub>1</sub></code> = 2 + 1 - 1 - 2 = 0 \n- diff[0][2] = <code>onesRow<sub>0</sub> + onesCol<sub>2</sub> - zerosRow<sub>0</sub> - zerosCol<sub>2</sub></code> = 2 + 3 - 1 - 0 = 4 \n- diff[1][0] = <code>onesRow<sub>1</sub> + onesCol<sub>0</sub> - zerosRow<sub>1</sub> - zerosCol<sub>0</sub></code> = 2 + 1 - 1 - 2 = 0 \n- diff[1][1] = <code>onesRow<sub>1</sub> + onesCol<sub>1</sub> - zerosRow<sub>1</sub> - zerosCol<sub>1</sub></code> = 2 + 1 - 1 - 2 = 0 \n- diff[1][2] = <code>onesRow<sub>1</sub> + onesCol<sub>2</sub> - zerosRow<sub>1</sub> - zerosCol<sub>2</sub></code> = 2 + 3 - 1 - 0 = 4 \n- diff[2][0] = <code>onesRow<sub>2</sub> + onesCol<sub>0</sub> - zerosRow<sub>2</sub> - zerosCol<sub>0</sub></code> = 1 + 1 - 2 - 2 = -2\n- diff[2][1] = <code>onesRow<sub>2</sub> + onesCol<sub>1</sub> - zerosRow<sub>2</sub> - zerosCol<sub>1</sub></code> = 1 + 1 - 2 - 2 = -2\n- diff[2][2] = <code>onesRow<sub>2</sub> + onesCol<sub>2</sub> - zerosRow<sub>2</sub> - zerosCol<sub>2</sub></code> = 1 + 3 - 2 - 0 = 2\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img src=\"https://assets.leetcode.com/uploads/2022/11/06/image-20221106171747-6.png\" style=\"width: 358px; height: 150px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,1,1],[1,1,1]]\n<strong>Output:</strong> [[5,5,5],[5,5,5]]\n<strong>Explanation:</strong>\n- diff[0][0] = onesRow<sub>0</sub> + onesCol<sub>0</sub> - zerosRow<sub>0</sub> - zerosCol<sub>0</sub> = 3 + 2 - 0 - 0 = 5\n- diff[0][1] = onesRow<sub>0</sub> + onesCol<sub>1</sub> - zerosRow<sub>0</sub> - zerosCol<sub>1</sub> = 3 + 2 - 0 - 0 = 5\n- diff[0][2] = onesRow<sub>0</sub> + onesCol<sub>2</sub> - zerosRow<sub>0</sub> - zerosCol<sub>2</sub> = 3 + 2 - 0 - 0 = 5\n- diff[1][0] = onesRow<sub>1</sub> + onesCol<sub>0</sub> - zerosRow<sub>1</sub> - zerosCol<sub>0</sub> = 3 + 2 - 0 - 0 = 5\n- diff[1][1] = onesRow<sub>1</sub> + onesCol<sub>1</sub> - zerosRow<sub>1</sub> - zerosCol<sub>1</sub> = 3 + 2 - 0 - 0 = 5\n- diff[1][2] = onesRow<sub>1</sub> + onesCol<sub>2</sub> - zerosRow<sub>1</sub> - zerosCol<sub>2</sub> = 3 + 2 - 0 - 0 = 5\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= m * n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>grid[i][j]</code> is either <code>0</code> or <code>1</code>.</li>\n</ul>\n",
            "translatedTitle": "行和列中一和零的差值",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的&nbsp;<code>m x n</code>&nbsp;二进制矩阵&nbsp;<code>grid</code>&nbsp;。</p>\n\n<p>我们按照如下过程，定义一个下标从 <strong>0</strong>&nbsp;开始的&nbsp;<code>m x n</code>&nbsp;差值矩阵&nbsp;<code>diff</code>&nbsp;：</p>\n\n<ul>\n\t<li>令第&nbsp;<code>i</code>&nbsp;行一的数目为&nbsp;<code>onesRow<sub>i</sub></code>&nbsp;。</li>\n\t<li>令第&nbsp;<code>j</code>&nbsp;列一的数目为&nbsp;<code>onesCol<sub>j</sub></code><sub>&nbsp;</sub>。</li>\n\t<li>令第&nbsp;<code>i</code>&nbsp;行零的数目为&nbsp;<code>zerosRow<sub>i</sub></code>&nbsp;。</li>\n\t<li>令第&nbsp;<code>j</code>&nbsp;列零的数目为&nbsp;<code>zerosCol<sub>j</sub></code>&nbsp;。</li>\n\t<li><code>diff[i][j] = onesRow<sub>i</sub> + onesCol<sub>j</sub> - zerosRow<sub>i</sub> - zerosCol<sub>j</sub></code></li>\n</ul>\n\n<p>请你返回差值矩阵<em>&nbsp;</em><code>diff</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2022/11/06/image-20221106171729-5.png\" style=\"width: 400px; height: 208px;\"></p>\n\n<pre><b>输入：</b>grid = [[0,1,1],[1,0,1],[0,0,1]]\n<b>输出：</b>[[0,0,4],[0,0,4],[-2,-2,2]]\n<b>解释：</b>\n- diff[0][0] = <code>onesRow<sub>0</sub> + onesCol<sub>0</sub> - zerosRow<sub>0</sub> - zerosCol<sub>0</sub></code> = 2 + 1 - 1 - 2 = 0 \n- diff[0][1] = <code>onesRow<sub>0</sub> + onesCol<sub>1</sub> - zerosRow<sub>0</sub> - zerosCol<sub>1</sub></code> = 2 + 1 - 1 - 2 = 0 \n- diff[0][2] = <code>onesRow<sub>0</sub> + onesCol<sub>2</sub> - zerosRow<sub>0</sub> - zerosCol<sub>2</sub></code> = 2 + 3 - 1 - 0 = 4 \n- diff[1][0] = <code>onesRow<sub>1</sub> + onesCol<sub>0</sub> - zerosRow<sub>1</sub> - zerosCol<sub>0</sub></code> = 2 + 1 - 1 - 2 = 0 \n- diff[1][1] = <code>onesRow<sub>1</sub> + onesCol<sub>1</sub> - zerosRow<sub>1</sub> - zerosCol<sub>1</sub></code> = 2 + 1 - 1 - 2 = 0 \n- diff[1][2] = <code>onesRow<sub>1</sub> + onesCol<sub>2</sub> - zerosRow<sub>1</sub> - zerosCol<sub>2</sub></code> = 2 + 3 - 1 - 0 = 4 \n- diff[2][0] = <code>onesRow<sub>2</sub> + onesCol<sub>0</sub> - zerosRow<sub>2</sub> - zerosCol<sub>0</sub></code> = 1 + 1 - 2 - 2 = -2\n- diff[2][1] = <code>onesRow<sub>2</sub> + onesCol<sub>1</sub> - zerosRow<sub>2</sub> - zerosCol<sub>1</sub></code> = 1 + 1 - 2 - 2 = -2\n- diff[2][2] = <code>onesRow<sub>2</sub> + onesCol<sub>2</sub> - zerosRow<sub>2</sub> - zerosCol<sub>2</sub></code> = 1 + 3 - 2 - 0 = 2\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2022/11/06/image-20221106171747-6.png\" style=\"width: 358px; height: 150px;\"></p>\n\n<pre><b>输入：</b>grid = [[1,1,1],[1,1,1]]\n<b>输出：</b>[[5,5,5],[5,5,5]]\n<strong>解释：</strong>\n- diff[0][0] = onesRow<sub>0</sub> + onesCol<sub>0</sub> - zerosRow<sub>0</sub> - zerosCol<sub>0</sub> = 3 + 2 - 0 - 0 = 5\n- diff[0][1] = onesRow<sub>0</sub> + onesCol<sub>1</sub> - zerosRow<sub>0</sub> - zerosCol<sub>1</sub> = 3 + 2 - 0 - 0 = 5\n- diff[0][2] = onesRow<sub>0</sub> + onesCol<sub>2</sub> - zerosRow<sub>0</sub> - zerosCol<sub>2</sub> = 3 + 2 - 0 - 0 = 5\n- diff[1][0] = onesRow<sub>1</sub> + onesCol<sub>0</sub> - zerosRow<sub>1</sub> - zerosCol<sub>0</sub> = 3 + 2 - 0 - 0 = 5\n- diff[1][1] = onesRow<sub>1</sub> + onesCol<sub>1</sub> - zerosRow<sub>1</sub> - zerosCol<sub>1</sub> = 3 + 2 - 0 - 0 = 5\n- diff[1][2] = onesRow<sub>1</sub> + onesCol<sub>2</sub> - zerosRow<sub>1</sub> - zerosCol<sub>2</sub> = 3 + 2 - 0 - 0 = 5\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= m * n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>grid[i][j]</code>&nbsp;要么是&nbsp;<code>0</code>&nbsp;，要么是&nbsp;<code>1</code> 。</li>\n</ul>\n",
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