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<p>The <strong>n-queens</strong> puzzle is the problem of placing <code>n</code> queens on an <code>n x n</code> chessboard such that no two queens attack each other.</p>
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<p>Given an integer <code>n</code>, return <em>the number of distinct solutions to the <strong>n-queens puzzle</strong></em>.</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/2020/11/13/queens.jpg" style="width: 600px; height: 268px;" />
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<pre>
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<strong>Input:</strong> n = 4
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<strong>Output:</strong> 2
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<strong>Explanation:</strong> There are two distinct solutions to the 4-queens puzzle as shown.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> n = 1
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<strong>Output:</strong> 1
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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 <= n <= 9</code></li>
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</ul>
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