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66 lines
2.0 KiB
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<p>给你两个非负整数数组 <code>rowSum</code> 和 <code>colSum</code> ,其中 <code>rowSum[i]</code> 是二维矩阵中第 <code>i</code> 行元素的和, <code>colSum[j]</code> 是第 <code>j</code> 列元素的和。换言之你不知道矩阵里的每个元素,但是你知道每一行和每一列的和。</p>
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<p>请找到大小为 <code>rowSum.length x colSum.length</code> 的任意 <strong>非负整数</strong> 矩阵,且该矩阵满足 <code>rowSum</code> 和 <code>colSum</code> 的要求。</p>
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<p>请你返回任意一个满足题目要求的二维矩阵,题目保证存在 <strong>至少一个</strong> 可行矩阵。</p>
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<p> </p>
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<p><strong>示例 1:</strong></p>
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<pre>
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<strong>输入:</strong>rowSum = [3,8], colSum = [4,7]
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<strong>输出:</strong>[[3,0],
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[1,7]]
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<strong>解释:</strong>
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第 0 行:3 + 0 = 3 == rowSum[0]
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第 1 行:1 + 7 = 8 == rowSum[1]
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第 0 列:3 + 1 = 4 == colSum[0]
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第 1 列:0 + 7 = 7 == colSum[1]
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行和列的和都满足题目要求,且所有矩阵元素都是非负的。
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另一个可行的矩阵为:[[1,2],
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[3,5]]
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</pre>
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<p><strong>示例 2:</strong></p>
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<pre>
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<strong>输入:</strong>rowSum = [5,7,10], colSum = [8,6,8]
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<strong>输出:</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><strong>示例 3:</strong></p>
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<pre>
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<strong>输入:</strong>rowSum = [14,9], colSum = [6,9,8]
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<strong>输出:</strong>[[0,9,5],
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[6,0,3]]
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</pre>
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<p><strong>示例 4:</strong></p>
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<pre>
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<strong>输入:</strong>rowSum = [1,0], colSum = [1]
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<strong>输出:</strong>[[1],
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[0]]
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</pre>
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<p><strong>示例 5:</strong></p>
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<pre>
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<strong>输入:</strong>rowSum = [0], colSum = [0]
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<strong>输出:</strong>[[0]]
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</pre>
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<p> </p>
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<p><strong>提示:</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(rowSum) == sum(colSum)</code></li>
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</ul>
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