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57 lines
3.8 KiB
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57 lines
3.8 KiB
HTML
<p>You are given a <strong>0-indexed</strong> <code>m x n</code> binary matrix <code>grid</code>.</p>
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<p>A <strong>0-indexed</strong> <code>m x n</code> difference matrix <code>diff</code> is created with the following procedure:</p>
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<ul>
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<li>Let the number of ones in the <code>i<sup>th</sup></code> row be <code>onesRow<sub>i</sub></code>.</li>
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<li>Let the number of ones in the <code>j<sup>th</sup></code> column be <code>onesCol<sub>j</sub></code>.</li>
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<li>Let the number of zeros in the <code>i<sup>th</sup></code> row be <code>zerosRow<sub>i</sub></code>.</li>
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<li>Let the number of zeros in the <code>j<sup>th</sup></code> column be <code>zerosCol<sub>j</sub></code>.</li>
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<li><code>diff[i][j] = onesRow<sub>i</sub> + onesCol<sub>j</sub> - zerosRow<sub>i</sub> - zerosCol<sub>j</sub></code></li>
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</ul>
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<p>Return <em>the difference matrix </em><code>diff</code>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<img src="https://assets.leetcode.com/uploads/2022/11/06/image-20221106171729-5.png" style="width: 400px; height: 208px;" />
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<pre>
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<strong>Input:</strong> grid = [[0,1,1],[1,0,1],[0,0,1]]
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<strong>Output:</strong> [[0,0,4],[0,0,4],[-2,-2,2]]
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<strong>Explanation:</strong>
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- 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
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- 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
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- 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
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- 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
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- 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
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- 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
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- 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
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- 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
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- 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
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<img src="https://assets.leetcode.com/uploads/2022/11/06/image-20221106171747-6.png" style="width: 358px; height: 150px;" />
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<pre>
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<strong>Input:</strong> grid = [[1,1,1],[1,1,1]]
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<strong>Output:</strong> [[5,5,5],[5,5,5]]
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<strong>Explanation:</strong>
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- diff[0][0] = onesRow<sub>0</sub> + onesCol<sub>0</sub> - zerosRow<sub>0</sub> - zerosCol<sub>0</sub> = 3 + 2 - 0 - 0 = 5
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- diff[0][1] = onesRow<sub>0</sub> + onesCol<sub>1</sub> - zerosRow<sub>0</sub> - zerosCol<sub>1</sub> = 3 + 2 - 0 - 0 = 5
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- diff[0][2] = onesRow<sub>0</sub> + onesCol<sub>2</sub> - zerosRow<sub>0</sub> - zerosCol<sub>2</sub> = 3 + 2 - 0 - 0 = 5
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- diff[1][0] = onesRow<sub>1</sub> + onesCol<sub>0</sub> - zerosRow<sub>1</sub> - zerosCol<sub>0</sub> = 3 + 2 - 0 - 0 = 5
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- diff[1][1] = onesRow<sub>1</sub> + onesCol<sub>1</sub> - zerosRow<sub>1</sub> - zerosCol<sub>1</sub> = 3 + 2 - 0 - 0 = 5
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- diff[1][2] = onesRow<sub>1</sub> + onesCol<sub>2</sub> - zerosRow<sub>1</sub> - zerosCol<sub>2</sub> = 3 + 2 - 0 - 0 = 5
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>m == grid.length</code></li>
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<li><code>n == grid[i].length</code></li>
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<li><code>1 <= m, n <= 10<sup>5</sup></code></li>
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<li><code>1 <= m * n <= 10<sup>5</sup></code></li>
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<li><code>grid[i][j]</code> is either <code>0</code> or <code>1</code>.</li>
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</ul>
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