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41 lines
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41 lines
1.7 KiB
HTML
<p>You are given two arrays <code>rowSum</code> and <code>colSum</code> of non-negative integers where <code>rowSum[i]</code> is the sum of the elements in the <code>i<sup>th</sup></code> row and <code>colSum[j]</code> is the sum of the elements of the <code>j<sup>th</sup></code> column of a 2D matrix. In other words, you do not know the elements of the matrix, but you do know the sums of each row and column.</p>
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<p>Find any matrix of <strong>non-negative</strong> integers of size <code>rowSum.length x colSum.length</code> that satisfies the <code>rowSum</code> and <code>colSum</code> requirements.</p>
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<p>Return <em>a 2D array representing <strong>any</strong> matrix that fulfills the requirements</em>. It's guaranteed that <strong>at least one </strong>matrix that fulfills the requirements exists.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> rowSum = [3,8], colSum = [4,7]
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<strong>Output:</strong> [[3,0],
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[1,7]]
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<strong>Explanation:</strong>
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0<sup>th</sup> row: 3 + 0 = 3 == rowSum[0]
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1<sup>st</sup> row: 1 + 7 = 8 == rowSum[1]
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0<sup>th</sup> column: 3 + 1 = 4 == colSum[0]
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1<sup>st</sup> column: 0 + 7 = 7 == colSum[1]
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The row and column sums match, and all matrix elements are non-negative.
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Another possible matrix is: [[1,2],
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[3,5]]
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> rowSum = [5,7,10], colSum = [8,6,8]
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<strong>Output:</strong> [[0,5,0],
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[6,1,0],
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[2,0,8]]
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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>1 <= rowSum.length, colSum.length <= 500</code></li>
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<li><code>0 <= rowSum[i], colSum[i] <= 10<sup>8</sup></code></li>
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<li><code>sum(rows) == sum(columns)</code></li>
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</ul>
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