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61 lines
2.1 KiB
HTML
61 lines
2.1 KiB
HTML
<p>You are given two <strong>positive</strong> integers <code>n</code> and <code>k</code>.</p>
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<p>An integer <code>x</code> is called <strong>k-palindromic</strong> if:</p>
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<ul>
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<li><code>x</code> is a <span data-keyword="palindrome-integer">palindrome</span>.</li>
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<li><code>x</code> is divisible by <code>k</code>.</li>
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</ul>
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<p>An integer is called <strong>good</strong> if its digits can be <em>rearranged</em> to form a <strong>k-palindromic</strong> integer. For example, for <code>k = 2</code>, 2020 can be rearranged to form the <em>k-palindromic</em> integer 2002, whereas 1010 cannot be rearranged to form a <em>k-palindromic</em> integer.</p>
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<p>Return the count of <strong>good</strong> integers containing <code>n</code> digits.</p>
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<p><strong>Note</strong> that <em>any</em> integer must <strong>not</strong> have leading zeros, <strong>neither</strong> before <strong>nor</strong> after rearrangement. For example, 1010 <em>cannot</em> be rearranged to form 101.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<div class="example-block">
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<p><strong>Input:</strong> <span class="example-io">n = 3, k = 5</span></p>
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<p><strong>Output:</strong> <span class="example-io">27</span></p>
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<p><strong>Explanation:</strong></p>
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<p><em>Some</em> of the good integers are:</p>
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<ul>
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<li>551 because it can be rearranged to form 515.</li>
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<li>525 because it is already k-palindromic.</li>
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</ul>
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</div>
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<p><strong class="example">Example 2:</strong></p>
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<div class="example-block">
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<p><strong>Input:</strong> <span class="example-io">n = 1, k = 4</span></p>
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<p><strong>Output:</strong> <span class="example-io">2</span></p>
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<p><strong>Explanation:</strong></p>
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<p>The two good integers are 4 and 8.</p>
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</div>
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<p><strong class="example">Example 3:</strong></p>
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<div class="example-block">
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<p><strong>Input:</strong> <span class="example-io">n = 5, k = 6</span></p>
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<p><strong>Output:</strong> <span class="example-io">2468</span></p>
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</div>
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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 <= 10</code></li>
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<li><code>1 <= k <= 9</code></li>
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</ul>
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