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39 lines
1.6 KiB
HTML
39 lines
1.6 KiB
HTML
<p>A square matrix is said to be an <strong>X-Matrix</strong> if <strong>both</strong> of the following conditions hold:</p>
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<ol>
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<li>All the elements in the diagonals of the matrix are <strong>non-zero</strong>.</li>
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<li>All other elements are 0.</li>
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</ol>
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<p>Given a 2D integer array <code>grid</code> of size <code>n x n</code> representing a square matrix, return <code>true</code><em> if </em><code>grid</code><em> is an X-Matrix</em>. Otherwise, return <code>false</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 alt="" src="https://assets.leetcode.com/uploads/2022/05/03/ex1.jpg" style="width: 311px; height: 320px;" />
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<pre>
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<strong>Input:</strong> grid = [[2,0,0,1],[0,3,1,0],[0,5,2,0],[4,0,0,2]]
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<strong>Output:</strong> true
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<strong>Explanation:</strong> Refer to the diagram above.
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An X-Matrix should have the green elements (diagonals) be non-zero and the red elements be 0.
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Thus, grid is an X-Matrix.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2022/05/03/ex2.jpg" style="width: 238px; height: 246px;" />
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<pre>
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<strong>Input:</strong> grid = [[5,7,0],[0,3,1],[0,5,0]]
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<strong>Output:</strong> false
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<strong>Explanation:</strong> Refer to the diagram above.
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An X-Matrix should have the green elements (diagonals) be non-zero and the red elements be 0.
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Thus, grid is not an X-Matrix.
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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>n == grid.length == grid[i].length</code></li>
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<li><code>3 <= n <= 100</code></li>
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<li><code>0 <= grid[i][j] <= 10<sup>5</sup></code></li>
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</ul>
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