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35 lines
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35 lines
1.4 KiB
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<p>An integer <code>n</code> is <strong>strictly palindromic</strong> if, for <strong>every</strong> base <code>b</code> between <code>2</code> and <code>n - 2</code> (<strong>inclusive</strong>), the string representation of the integer <code>n</code> in base <code>b</code> is <strong>palindromic</strong>.</p>
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<p>Given an integer <code>n</code>, return <code>true</code> <em>if </em><code>n</code><em> is <strong>strictly palindromic</strong> and </em><code>false</code><em> otherwise</em>.</p>
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<p>A string is <strong>palindromic</strong> if it reads the same forward and backward.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> n = 9
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<strong>Output:</strong> false
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<strong>Explanation:</strong> In base 2: 9 = 1001 (base 2), which is palindromic.
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In base 3: 9 = 100 (base 3), which is not palindromic.
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Therefore, 9 is not strictly palindromic so we return false.
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Note that in bases 4, 5, 6, and 7, n = 9 is also not palindromic.
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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 = 4
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<strong>Output:</strong> false
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<strong>Explanation:</strong> We only consider base 2: 4 = 100 (base 2), which is not palindromic.
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Therefore, we return false.
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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>4 <= n <= 10<sup>5</sup></code></li>
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</ul>
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